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Author SHA1 Message Date
9bfd641b22 Reorganise a little to let the PV inverter be defined outside
the Reconstruct class.

This lets the multiple choices for PV inversion be composed without
changing the routine and no if/else case enumeration.

Implemented SchurDiagMooee PV inversion (red black) and Unprec PV inversion.
Red black cuts from 190 iterations to 90 iterations at 10^-12 on 8^4 test system

Will revisit multiple Schur options and add a Fourier based multishift PV inverse, similar
to the one Rudy Arthur did in BFM
2018-10-10 13:22:01 +01:00
be40aaf751 4d 5d reconstruction code & test 2018-10-09 18:37:20 +01:00
e069fd5ed8 SetMass should be implemented universially 2018-10-09 17:41:56 +01:00
1255 changed files with 96203 additions and 155898 deletions

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@ -1,54 +0,0 @@
name: Bug report
description: Report a bug.
title: "<insert title>"
labels: [bug]
body:
- type: markdown
attributes:
value: >
Thank you for taking the time to file a bug report.
Please check that the code is pointing to the HEAD of develop
or any commit in master which is tagged with a version number.
- type: textarea
attributes:
label: "Describe the issue:"
description: >
Describe the issue and any previous attempt to solve it.
validations:
required: true
- type: textarea
attributes:
label: "Code example:"
description: >
If relevant, show how to reproduce the issue using a minimal working
example.
placeholder: |
<< your code here >>
render: shell
validations:
required: false
- type: textarea
attributes:
label: "Target platform:"
description: >
Give a description of the target platform (CPU, network, compiler).
Please give the full CPU part description, using for example
`cat /proc/cpuinfo | grep 'model name' | uniq` (Linux)
or `sysctl machdep.cpu.brand_string` (macOS) and the full output
the `--version` option of your compiler.
validations:
required: true
- type: textarea
attributes:
label: "Configure options:"
description: >
Please give the exact configure command used and attach
`config.log`, `grid.config.summary` and the output of `make V=1`.
render: shell
validations:
required: true

6
.gitignore vendored
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@ -1,7 +1,3 @@
# Doxygen stuff
html/*
latex/*
# Compiled Object files # # Compiled Object files #
######################### #########################
*.slo *.slo
@ -92,7 +88,6 @@ Thumbs.db
# build directory # # build directory #
################### ###################
build*/* build*/*
Documentation/_build
# IDE related files # # IDE related files #
##################### #####################
@ -119,4 +114,3 @@ gh-pages/
##################### #####################
Grid/qcd/spin/gamma-gen/*.h Grid/qcd/spin/gamma-gen/*.h
Grid/qcd/spin/gamma-gen/*.cc Grid/qcd/spin/gamma-gen/*.cc
Grid/util/Version.h

61
.travis.yml Normal file
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@ -0,0 +1,61 @@
language: cpp
cache:
directories:
- clang
matrix:
include:
- os: osx
osx_image: xcode8.3
compiler: clang
env: PREC=single
- os: osx
osx_image: xcode8.3
compiler: clang
env: PREC=double
before_install:
- export GRIDDIR=`pwd`
- if [[ "$TRAVIS_OS_NAME" == "linux" ]] && [[ "$CC" == "clang" ]] && [ ! -e clang/bin ]; then wget $CLANG_LINK; tar -xf `basename $CLANG_LINK`; mkdir clang; mv clang+*/* clang/; fi
- if [[ "$TRAVIS_OS_NAME" == "linux" ]] && [[ "$CC" == "clang" ]]; then export PATH="${GRIDDIR}/clang/bin:${PATH}"; fi
- if [[ "$TRAVIS_OS_NAME" == "linux" ]] && [[ "$CC" == "clang" ]]; then export LD_LIBRARY_PATH="${GRIDDIR}/clang/lib:${LD_LIBRARY_PATH}"; fi
- if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then brew update; fi
- if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then brew install libmpc openssl; fi
install:
- export CWD=`pwd`
- echo $CWD
- export CC=$CC$VERSION
- export CXX=$CXX$VERSION
- echo $PATH
- which autoconf
- autoconf --version
- which automake
- automake --version
- which $CC
- $CC --version
- which $CXX
- $CXX --version
- if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then export LDFLAGS='-L/usr/local/lib'; fi
- if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then export EXTRACONF='--with-openssl=/usr/local/opt/openssl'; fi
script:
- ./bootstrap.sh
- mkdir build
- cd build
- mkdir lime
- cd lime
- mkdir build
- cd build
- wget http://usqcd-software.github.io/downloads/c-lime/lime-1.3.2.tar.gz
- tar xf lime-1.3.2.tar.gz
- cd lime-1.3.2
- ./configure --prefix=$CWD/build/lime/install
- make -j4
- make install
- cd $CWD/build
- ../configure --enable-precision=$PREC --enable-simd=SSE4 --enable-comms=none --with-lime=$CWD/build/lime/install ${EXTRACONF}
- make -j4
- ./benchmarks/Benchmark_dwf --threads 1 --debug-signals
- make check

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@ -1,2 +0,0 @@
mpicxx -qmkl=parallel -fsycl BatchBlasBench.cc -o BatchBlasBench -DGRID_SYCL

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@ -1,5 +0,0 @@
CXX=hipcc
MPICXX=mpicxx
CXXFLAGS="-fPIC -I{$ROCM_PATH}/include/ -I${MPICH_DIR}/include -L/lib64 -I/opt/cray/pe/mpich/8.1.28/ofi/gnu/12.3/include -DGRID_HIP"
LDFLAGS="-L/lib64 -L${MPICH_DIR}/lib -lmpi -L${CRAY_MPICH_ROOTDIR}/gtl/lib -lmpi_gtl_hsa -lamdhip64 -lhipblas -lrocblas -lmpi_gnu_123"
hipcc $CXXFLAGS $LDFLAGS BatchBlasBench.cc -o BatchBlasBench

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@ -1,2 +0,0 @@
mpicxx -qmkl=parallel -fsycl BatchBlasBench.cc -o BatchBlasBench -DGRID_SYCL

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@ -1,5 +0,0 @@
Version : 0.8.0
- Clang 3.5 and above, ICPC v16 and above, GCC 6.3 and above recommended
- MPI and MPI3 comms optimisations for KNL and OPA finished
- Half precision comms

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@ -30,44 +30,8 @@ directory
#ifndef DISABLE_WARNINGS_H #ifndef DISABLE_WARNINGS_H
#define DISABLE_WARNINGS_H #define DISABLE_WARNINGS_H
#if defined __GNUC__ && __GNUC__>=6
#pragma GCC diagnostic ignored "-Wignored-attributes"
#endif
//disables and intel compiler specific warning (in json.hpp) //disables and intel compiler specific warning (in json.hpp)
#ifdef __ICC
#pragma warning disable 488 #pragma warning disable 488
#endif
#ifdef __NVCC__
//disables nvcc specific warning in json.hpp
#pragma clang diagnostic ignored "-Wdeprecated-register"
#ifdef __NVCC_DIAG_PRAGMA_SUPPORT__
//disables nvcc specific warning in json.hpp
#pragma nv_diag_suppress unsigned_compare_with_zero
#pragma nv_diag_suppress cast_to_qualified_type
//disables nvcc specific warning in many files
#pragma nv_diag_suppress esa_on_defaulted_function_ignored
#pragma nv_diag_suppress extra_semicolon
#else
//disables nvcc specific warning in json.hpp
#pragma diag_suppress unsigned_compare_with_zero
#pragma diag_suppress cast_to_qualified_type
//disables nvcc specific warning in many files
#pragma diag_suppress esa_on_defaulted_function_ignored
#pragma diag_suppress extra_semicolon
#endif
#endif
// Disable vectorisation in Eigen on the Power8/9 and PowerPC
#ifdef __ALTIVEC__
#define EIGEN_DONT_VECTORIZE
#endif
#ifdef __VSX__
#define EIGEN_DONT_VECTORIZE
#endif
#endif #endif

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@ -42,7 +42,6 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
#include <Grid/GridQCDcore.h> #include <Grid/GridQCDcore.h>
#include <Grid/qcd/action/Action.h> #include <Grid/qcd/action/Action.h>
#include <Grid/qcd/utils/GaugeFix.h> #include <Grid/qcd/utils/GaugeFix.h>
#include <Grid/qcd/utils/CovariantSmearing.h>
#include <Grid/qcd/smearing/Smearing.h> #include <Grid/qcd/smearing/Smearing.h>
#include <Grid/parallelIO/MetaData.h> #include <Grid/parallelIO/MetaData.h>
#include <Grid/qcd/hmc/HMC_aggregate.h> #include <Grid/qcd/hmc/HMC_aggregate.h>

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@ -38,20 +38,16 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
#ifndef GRID_BASE_H #ifndef GRID_BASE_H
#define GRID_BASE_H #define GRID_BASE_H
#include <Grid/DisableWarnings.h>
#include <Grid/Namespace.h>
#include <Grid/GridStd.h> #include <Grid/GridStd.h>
#include <Grid/threads/Pragmas.h>
#include <Grid/perfmon/Timer.h> #include <Grid/perfmon/Timer.h>
//#include <Grid/perfmon/PerfCount.h> #include <Grid/perfmon/PerfCount.h>
#include <Grid/util/Util.h>
#include <Grid/log/Log.h> #include <Grid/log/Log.h>
#include <Grid/perfmon/Tracing.h> #include <Grid/allocator/AlignedAllocator.h>
#include <Grid/allocator/Allocator.h>
#include <Grid/simd/Simd.h> #include <Grid/simd/Simd.h>
#include <Grid/threads/ThreadReduction.h>
#include <Grid/serialisation/Serialisation.h> #include <Grid/serialisation/Serialisation.h>
#include <Grid/threads/Threads.h>
#include <Grid/util/Util.h>
#include <Grid/util/Sha.h> #include <Grid/util/Sha.h>
#include <Grid/communicator/Communicator.h> #include <Grid/communicator/Communicator.h>
#include <Grid/cartesian/Cartesian.h> #include <Grid/cartesian/Cartesian.h>
@ -59,9 +55,7 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
#include <Grid/lattice/Lattice.h> #include <Grid/lattice/Lattice.h>
#include <Grid/cshift/Cshift.h> #include <Grid/cshift/Cshift.h>
#include <Grid/stencil/Stencil.h> #include <Grid/stencil/Stencil.h>
#include <Grid/stencil/GeneralLocalStencil.h>
#include <Grid/parallelIO/BinaryIO.h> #include <Grid/parallelIO/BinaryIO.h>
#include <Grid/algorithms/Algorithms.h> #include <Grid/algorithms/Algorithms.h>
NAMESPACE_CHECK(GridCore)
#endif #endif

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@ -36,9 +36,7 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
#include <Grid/GridCore.h> #include <Grid/GridCore.h>
#include <Grid/qcd/QCD.h> #include <Grid/qcd/QCD.h>
#include <Grid/qcd/spin/Spin.h> #include <Grid/qcd/spin/Spin.h>
#include <Grid/qcd/gparity/Gparity.h>
#include <Grid/qcd/utils/Utils.h> #include <Grid/qcd/utils/Utils.h>
#include <Grid/qcd/representations/Representations.h> #include <Grid/qcd/representations/Representations.h>
NAMESPACE_CHECK(GridQCDCore);
#endif #endif

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@ -6,9 +6,7 @@
/////////////////// ///////////////////
#include <cassert> #include <cassert>
#include <complex> #include <complex>
#include <memory>
#include <vector> #include <vector>
#include <array>
#include <string> #include <string>
#include <iostream> #include <iostream>
#include <iomanip> #include <iomanip>
@ -16,7 +14,6 @@
#include <functional> #include <functional>
#include <stdio.h> #include <stdio.h>
#include <stdlib.h> #include <stdlib.h>
#include <strings.h>
#include <stdio.h> #include <stdio.h>
#include <signal.h> #include <signal.h>
#include <ctime> #include <ctime>
@ -29,7 +26,4 @@
/////////////////// ///////////////////
#include "Config.h" #include "Config.h"
#ifdef TOFU
#undef GRID_COMMS_THREADS
#endif
#endif /* GRID_STD_H */ #endif /* GRID_STD_H */

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@ -1,75 +1,14 @@
#include <Grid/GridCore.h>
#pragma once #pragma once
// Force Eigen to use MKL if Grid has been configured with --enable-mkl // Force Eigen to use MKL if Grid has been configured with --enable-mkl
#ifdef USE_MKL #ifdef USE_MKL
#define EIGEN_USE_MKL_ALL #define EIGEN_USE_MKL_ALL
#endif #endif
#if defined __GNUC__ #if defined __GNUC__
#pragma GCC diagnostic push #pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations" #pragma GCC diagnostic ignored "-Wdeprecated-declarations"
#endif #endif
/* NVCC save and restore compile environment*/
#ifdef __NVCC__
#pragma push
#ifdef __NVCC_DIAG_PRAGMA_SUPPORT__
#pragma nv_diag_suppress code_is_unreachable
#else
#pragma diag_suppress code_is_unreachable
#endif
#pragma push_macro("__CUDA_ARCH__")
#pragma push_macro("__NVCC__")
#pragma push_macro("__CUDACC__")
#undef __CUDA_ARCH__
#undef __NVCC__
#undef __CUDACC__
#define __NVCC__REDEFINE__
#endif
/* SYCL save and restore compile environment*/
#ifdef GRID_SYCL
#pragma push
#pragma push_macro("__SYCL_DEVICE_ONLY__")
#undef __SYCL_DEVICE_ONLY__
#define EIGEN_DONT_VECTORIZE
#undef EIGEN_USE_SYCL
#define __SYCL__REDEFINE__
#endif
/* HIP save and restore compile environment*/
#ifdef GRID_HIP
#pragma push
#pragma push_macro("__HIP_DEVICE_COMPILE__")
#endif
#define EIGEN_NO_HIP
#include <Grid/Eigen/Dense> #include <Grid/Eigen/Dense>
#include <Grid/Eigen/unsupported/CXX11/Tensor>
/* NVCC restore */
#ifdef __NVCC__REDEFINE__
#pragma pop_macro("__CUDACC__")
#pragma pop_macro("__NVCC__")
#pragma pop_macro("__CUDA_ARCH__")
#pragma pop
#endif
/*SYCL restore*/
#ifdef __SYCL__REDEFINE__
#pragma pop_macro("__SYCL_DEVICE_ONLY__")
#pragma pop
#endif
/*HIP restore*/
#ifdef __HIP__REDEFINE__
#pragma pop_macro("__HIP_DEVICE_COMPILE__")
#pragma pop
#endif
#if defined __GNUC__ #if defined __GNUC__
#pragma GCC diagnostic pop #pragma GCC diagnostic pop
#endif #endif

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@ -1 +0,0 @@
#include <Grid/Grid_Eigen_Dense.h>

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@ -21,8 +21,7 @@ if BUILD_HDF5
extra_headers+=serialisation/Hdf5Type.h extra_headers+=serialisation/Hdf5Type.h
endif endif
all: version-cache
all: version-cache Version.h
version-cache: version-cache:
@if [ `git status --porcelain | grep -v '??' | wc -l` -gt 0 ]; then\ @if [ `git status --porcelain | grep -v '??' | wc -l` -gt 0 ]; then\
@ -43,7 +42,7 @@ version-cache:
fi;\ fi;\
rm -f vertmp rm -f vertmp
Version.h: version-cache Version.h:
cp version-cache Version.h cp version-cache Version.h
.PHONY: version-cache .PHONY: version-cache
@ -54,23 +53,6 @@ Version.h: version-cache
include Make.inc include Make.inc
include Eigen.inc include Eigen.inc
extra_sources+=$(WILS_FERMION_FILES)
extra_sources+=$(STAG_FERMION_FILES)
if BUILD_ZMOBIUS
extra_sources+=$(ZWILS_FERMION_FILES)
endif
if BUILD_GPARITY
extra_sources+=$(GP_FERMION_FILES)
endif
if BUILD_FERMION_REPS
extra_sources+=$(ADJ_FERMION_FILES)
extra_sources+=$(TWOIND_FERMION_FILES)
endif
if BUILD_SP
extra_sources+=$(SP_FERMION_FILES)
extra_sources+=$(SP_TWOIND_FERMION_FILES)
endif
lib_LIBRARIES = libGrid.a lib_LIBRARIES = libGrid.a
CCFILES += $(extra_sources) CCFILES += $(extra_sources)

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@ -1,43 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/Namespace.h
Copyright (C) 2016
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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
#include <type_traits>
#include <cassert>
#include <exception>
#define NAMESPACE_BEGIN(A) namespace A {
#define NAMESPACE_END(A) }
#define GRID_NAMESPACE_BEGIN NAMESPACE_BEGIN(Grid)
#define GRID_NAMESPACE_END NAMESPACE_END(Grid)
#define NAMESPACE_CHECK(x) struct namespaceTEST##x {}; static_assert(std::is_same<namespaceTEST##x, ::namespaceTEST##x>::value,"Not in :: at" );
#define EXCEPTION_CHECK_BEGIN(A) try {
#define EXCEPTION_CHECK_END(A) } catch ( std::exception e ) { BACKTRACEFP(stderr); std::cerr << __PRETTY_FUNCTION__ << " : " <<__LINE__<< " Caught exception "<<e.what()<<std::endl; throw; }

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@ -29,56 +29,34 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
#ifndef GRID_ALGORITHMS_H #ifndef GRID_ALGORITHMS_H
#define GRID_ALGORITHMS_H #define GRID_ALGORITHMS_H
NAMESPACE_CHECK(blas);
#include <Grid/algorithms/blas/BatchedBlas.h>
NAMESPACE_CHECK(algorithms);
#include <Grid/algorithms/SparseMatrix.h> #include <Grid/algorithms/SparseMatrix.h>
#include <Grid/algorithms/LinearOperator.h> #include <Grid/algorithms/LinearOperator.h>
#include <Grid/algorithms/Preconditioner.h> #include <Grid/algorithms/Preconditioner.h>
NAMESPACE_CHECK(SparseMatrix);
#include <Grid/algorithms/approx/Zolotarev.h> #include <Grid/algorithms/approx/Zolotarev.h>
#include <Grid/algorithms/approx/Chebyshev.h> #include <Grid/algorithms/approx/Chebyshev.h>
#include <Grid/algorithms/approx/JacobiPolynomial.h>
#include <Grid/algorithms/approx/Remez.h> #include <Grid/algorithms/approx/Remez.h>
#include <Grid/algorithms/approx/MultiShiftFunction.h> #include <Grid/algorithms/approx/MultiShiftFunction.h>
#include <Grid/algorithms/approx/Forecast.h> #include <Grid/algorithms/approx/Forecast.h>
#include <Grid/algorithms/approx/RemezGeneral.h>
#include <Grid/algorithms/approx/ZMobius.h> #include <Grid/algorithms/iterative/Deflation.h>
NAMESPACE_CHECK(approx);
#include <Grid/algorithms/deflation/Deflation.h>
#include <Grid/algorithms/deflation/MultiRHSBlockProject.h>
#include <Grid/algorithms/deflation/MultiRHSDeflation.h>
#include <Grid/algorithms/deflation/MultiRHSBlockCGLinalg.h>
NAMESPACE_CHECK(deflation);
#include <Grid/algorithms/iterative/ConjugateGradient.h> #include <Grid/algorithms/iterative/ConjugateGradient.h>
NAMESPACE_CHECK(ConjGrad);
#include <Grid/algorithms/iterative/BiCGSTAB.h>
NAMESPACE_CHECK(BiCGSTAB);
#include <Grid/algorithms/iterative/ConjugateResidual.h> #include <Grid/algorithms/iterative/ConjugateResidual.h>
#include <Grid/algorithms/iterative/NormalEquations.h> #include <Grid/algorithms/iterative/NormalEquations.h>
#include <Grid/algorithms/iterative/SchurRedBlack.h> #include <Grid/algorithms/iterative/SchurRedBlack.h>
#include <Grid/algorithms/iterative/ConjugateGradientMultiShift.h> #include <Grid/algorithms/iterative/ConjugateGradientMultiShift.h>
#include <Grid/algorithms/iterative/ConjugateGradientMixedPrec.h> #include <Grid/algorithms/iterative/ConjugateGradientMixedPrec.h>
#include <Grid/algorithms/iterative/ConjugateGradientMultiShiftMixedPrec.h>
#include <Grid/algorithms/iterative/ConjugateGradientMixedPrecBatched.h>
#include <Grid/algorithms/iterative/BiCGSTABMixedPrec.h>
#include <Grid/algorithms/iterative/BlockConjugateGradient.h> #include <Grid/algorithms/iterative/BlockConjugateGradient.h>
#include <Grid/algorithms/iterative/ConjugateGradientReliableUpdate.h> #include <Grid/algorithms/iterative/ConjugateGradientReliableUpdate.h>
#include <Grid/algorithms/iterative/MinimalResidual.h>
#include <Grid/algorithms/iterative/GeneralisedMinimalResidual.h>
#include <Grid/algorithms/iterative/CommunicationAvoidingGeneralisedMinimalResidual.h>
#include <Grid/algorithms/iterative/FlexibleGeneralisedMinimalResidual.h>
#include <Grid/algorithms/iterative/FlexibleCommunicationAvoidingGeneralisedMinimalResidual.h>
#include <Grid/algorithms/iterative/MixedPrecisionFlexibleGeneralisedMinimalResidual.h>
#include <Grid/algorithms/iterative/ImplicitlyRestartedLanczos.h> #include <Grid/algorithms/iterative/ImplicitlyRestartedLanczos.h>
#include <Grid/algorithms/iterative/PowerMethod.h> #include <Grid/algorithms/CoarsenedMatrix.h>
#include <Grid/algorithms/iterative/AdefGeneric.h>
#include <Grid/algorithms/iterative/AdefMrhs.h>
NAMESPACE_CHECK(PowerMethod);
#include <Grid/algorithms/multigrid/MultiGrid.h>
NAMESPACE_CHECK(multigrid);
#include <Grid/algorithms/FFT.h> #include <Grid/algorithms/FFT.h>
// EigCg
// Pcg
// Hdcg
// GCR
// etc..
#endif #endif

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@ -0,0 +1,480 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/CoarsenedMatrix.h
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
Author: paboyle <paboyle@ph.ed.ac.uk>
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 */
#ifndef GRID_ALGORITHM_COARSENED_MATRIX_H
#define GRID_ALGORITHM_COARSENED_MATRIX_H
namespace Grid {
class Geometry {
// int dimension;
public:
int npoint;
std::vector<int> directions ;
std::vector<int> displacements;
Geometry(int _d) {
int base = (_d==5) ? 1:0;
// make coarse grid stencil for 4d , not 5d
if ( _d==5 ) _d=4;
npoint = 2*_d+1;
directions.resize(npoint);
displacements.resize(npoint);
for(int d=0;d<_d;d++){
directions[2*d ] = d+base;
directions[2*d+1] = d+base;
displacements[2*d ] = +1;
displacements[2*d+1] = -1;
}
directions [2*_d]=0;
displacements[2*_d]=0;
//// report back
std::cout<<GridLogMessage<<"directions :";
for(int d=0;d<npoint;d++) std::cout<< directions[d]<< " ";
std::cout <<std::endl;
std::cout<<GridLogMessage<<"displacements :";
for(int d=0;d<npoint;d++) std::cout<< displacements[d]<< " ";
std::cout<<std::endl;
}
/*
// Original cleaner code
Geometry(int _d) : dimension(_d), npoint(2*_d+1), directions(npoint), displacements(npoint) {
for(int d=0;d<dimension;d++){
directions[2*d ] = d;
directions[2*d+1] = d;
displacements[2*d ] = +1;
displacements[2*d+1] = -1;
}
directions [2*dimension]=0;
displacements[2*dimension]=0;
}
std::vector<int> GetDelta(int point) {
std::vector<int> delta(dimension,0);
delta[directions[point]] = displacements[point];
return delta;
};
*/
};
template<class Fobj,class CComplex,int nbasis>
class Aggregation {
public:
typedef iVector<CComplex,nbasis > siteVector;
typedef Lattice<siteVector> CoarseVector;
typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
typedef Lattice< CComplex > CoarseScalar; // used for inner products on fine field
typedef Lattice<Fobj > FineField;
GridBase *CoarseGrid;
GridBase *FineGrid;
std::vector<Lattice<Fobj> > subspace;
int checkerboard;
Aggregation(GridBase *_CoarseGrid,GridBase *_FineGrid,int _checkerboard) :
CoarseGrid(_CoarseGrid),
FineGrid(_FineGrid),
subspace(nbasis,_FineGrid),
checkerboard(_checkerboard)
{
};
void Orthogonalise(void){
CoarseScalar InnerProd(CoarseGrid);
std::cout << GridLogMessage <<" Gramm-Schmidt pass 1"<<std::endl;
blockOrthogonalise(InnerProd,subspace);
std::cout << GridLogMessage <<" Gramm-Schmidt pass 2"<<std::endl;
blockOrthogonalise(InnerProd,subspace);
// std::cout << GridLogMessage <<" Gramm-Schmidt checking orthogonality"<<std::endl;
// CheckOrthogonal();
}
void CheckOrthogonal(void){
CoarseVector iProj(CoarseGrid);
CoarseVector eProj(CoarseGrid);
for(int i=0;i<nbasis;i++){
blockProject(iProj,subspace[i],subspace);
eProj=zero;
parallel_for(int ss=0;ss<CoarseGrid->oSites();ss++){
eProj._odata[ss](i)=CComplex(1.0);
}
eProj=eProj - iProj;
std::cout<<GridLogMessage<<"Orthog check error "<<i<<" " << norm2(eProj)<<std::endl;
}
std::cout<<GridLogMessage <<"CheckOrthog done"<<std::endl;
}
void ProjectToSubspace(CoarseVector &CoarseVec,const FineField &FineVec){
blockProject(CoarseVec,FineVec,subspace);
}
void PromoteFromSubspace(const CoarseVector &CoarseVec,FineField &FineVec){
FineVec.checkerboard = subspace[0].checkerboard;
blockPromote(CoarseVec,FineVec,subspace);
}
void CreateSubspaceRandom(GridParallelRNG &RNG){
for(int i=0;i<nbasis;i++){
random(RNG,subspace[i]);
std::cout<<GridLogMessage<<" norm subspace["<<i<<"] "<<norm2(subspace[i])<<std::endl;
}
Orthogonalise();
}
/*
virtual void CreateSubspaceLanczos(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis)
{
// Run a Lanczos with sloppy convergence
const int Nstop = nn;
const int Nk = nn+20;
const int Np = nn+20;
const int Nm = Nk+Np;
const int MaxIt= 10000;
RealD resid = 1.0e-3;
Chebyshev<FineField> Cheb(0.5,64.0,21);
ImplicitlyRestartedLanczos<FineField> IRL(hermop,Cheb,Nstop,Nk,Nm,resid,MaxIt);
// IRL.lock = 1;
FineField noise(FineGrid); gaussian(RNG,noise);
FineField tmp(FineGrid);
std::vector<RealD> eval(Nm);
std::vector<FineField> evec(Nm,FineGrid);
int Nconv;
IRL.calc(eval,evec,
noise,
Nconv);
// pull back nn vectors
for(int b=0;b<nn;b++){
subspace[b] = evec[b];
std::cout << GridLogMessage <<"subspace["<<b<<"] = "<<norm2(subspace[b])<<std::endl;
hermop.Op(subspace[b],tmp);
std::cout<<GridLogMessage << "filtered["<<b<<"] <f|MdagM|f> "<<norm2(tmp)<<std::endl;
noise = tmp - sqrt(eval[b])*subspace[b] ;
std::cout<<GridLogMessage << " lambda_"<<b<<" = "<< eval[b] <<" ; [ M - Lambda ]_"<<b<<" vec_"<<b<<" = " <<norm2(noise)<<std::endl;
noise = tmp + eval[b]*subspace[b] ;
std::cout<<GridLogMessage << " lambda_"<<b<<" = "<< eval[b] <<" ; [ M - Lambda ]_"<<b<<" vec_"<<b<<" = " <<norm2(noise)<<std::endl;
}
Orthogonalise();
for(int b=0;b<nn;b++){
std::cout << GridLogMessage <<"subspace["<<b<<"] = "<<norm2(subspace[b])<<std::endl;
}
}
*/
virtual void CreateSubspace(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis) {
RealD scale;
ConjugateGradient<FineField> CG(1.0e-2,10000);
FineField noise(FineGrid);
FineField Mn(FineGrid);
for(int b=0;b<nn;b++){
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise ["<<b<<"] <n|MdagM|n> "<<norm2(Mn)<<std::endl;
for(int i=0;i<1;i++){
CG(hermop,noise,subspace[b]);
noise = subspace[b];
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
}
hermop.Op(noise,Mn); std::cout<<GridLogMessage << "filtered["<<b<<"] <f|MdagM|f> "<<norm2(Mn)<<std::endl;
subspace[b] = noise;
}
Orthogonalise();
}
};
// Fine Object == (per site) type of fine field
// nbasis == number of deflation vectors
template<class Fobj,class CComplex,int nbasis>
class CoarsenedMatrix : public SparseMatrixBase<Lattice<iVector<CComplex,nbasis > > > {
public:
typedef iVector<CComplex,nbasis > siteVector;
typedef Lattice<siteVector> CoarseVector;
typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
typedef Lattice< CComplex > CoarseScalar; // used for inner products on fine field
typedef Lattice<Fobj > FineField;
////////////////////
// Data members
////////////////////
Geometry geom;
GridBase * _grid;
CartesianStencil<siteVector,siteVector> Stencil;
std::vector<CoarseMatrix> A;
///////////////////////
// Interface
///////////////////////
GridBase * Grid(void) { return _grid; }; // this is all the linalg routines need to know
RealD M (const CoarseVector &in, CoarseVector &out){
conformable(_grid,in._grid);
conformable(in._grid,out._grid);
SimpleCompressor<siteVector> compressor;
Stencil.HaloExchange(in,compressor);
parallel_for(int ss=0;ss<Grid()->oSites();ss++){
siteVector res = zero;
siteVector nbr;
int ptype;
StencilEntry *SE;
for(int point=0;point<geom.npoint;point++){
SE=Stencil.GetEntry(ptype,point,ss);
if(SE->_is_local&&SE->_permute) {
permute(nbr,in._odata[SE->_offset],ptype);
} else if(SE->_is_local) {
nbr = in._odata[SE->_offset];
} else {
nbr = Stencil.CommBuf()[SE->_offset];
}
res = res + A[point]._odata[ss]*nbr;
}
vstream(out._odata[ss],res);
}
return norm2(out);
};
RealD Mdag (const CoarseVector &in, CoarseVector &out){
return M(in,out);
};
// Defer support for further coarsening for now
void Mdiag (const CoarseVector &in, CoarseVector &out){};
void Mdir (const CoarseVector &in, CoarseVector &out,int dir, int disp){};
CoarsenedMatrix(GridCartesian &CoarseGrid) :
_grid(&CoarseGrid),
geom(CoarseGrid._ndimension),
Stencil(&CoarseGrid,geom.npoint,Even,geom.directions,geom.displacements),
A(geom.npoint,&CoarseGrid)
{
};
void CoarsenOperator(GridBase *FineGrid,LinearOperatorBase<Lattice<Fobj> > &linop,
Aggregation<Fobj,CComplex,nbasis> & Subspace){
FineField iblock(FineGrid); // contributions from within this block
FineField oblock(FineGrid); // contributions from outwith this block
FineField phi(FineGrid);
FineField tmp(FineGrid);
FineField zz(FineGrid); zz=zero;
FineField Mphi(FineGrid);
Lattice<iScalar<vInteger> > coor(FineGrid);
CoarseVector iProj(Grid());
CoarseVector oProj(Grid());
CoarseScalar InnerProd(Grid());
// Orthogonalise the subblocks over the basis
blockOrthogonalise(InnerProd,Subspace.subspace);
// Compute the matrix elements of linop between this orthonormal
// set of vectors.
int self_stencil=-1;
for(int p=0;p<geom.npoint;p++){
A[p]=zero;
if( geom.displacements[p]==0){
self_stencil=p;
}
}
assert(self_stencil!=-1);
for(int i=0;i<nbasis;i++){
phi=Subspace.subspace[i];
std::cout<<GridLogMessage<<"("<<i<<").."<<std::endl;
for(int p=0;p<geom.npoint;p++){
int dir = geom.directions[p];
int disp = geom.displacements[p];
Integer block=(FineGrid->_rdimensions[dir])/(Grid()->_rdimensions[dir]);
LatticeCoordinate(coor,dir);
if ( disp==0 ){
linop.OpDiag(phi,Mphi);
}
else {
linop.OpDir(phi,Mphi,dir,disp);
}
////////////////////////////////////////////////////////////////////////
// Pick out contributions coming from this cell and neighbour cell
////////////////////////////////////////////////////////////////////////
if ( disp==0 ) {
iblock = Mphi;
oblock = zero;
} else if ( disp==1 ) {
oblock = where(mod(coor,block)==(block-1),Mphi,zz);
iblock = where(mod(coor,block)!=(block-1),Mphi,zz);
} else if ( disp==-1 ) {
oblock = where(mod(coor,block)==(Integer)0,Mphi,zz);
iblock = where(mod(coor,block)!=(Integer)0,Mphi,zz);
} else {
assert(0);
}
Subspace.ProjectToSubspace(iProj,iblock);
Subspace.ProjectToSubspace(oProj,oblock);
// blockProject(iProj,iblock,Subspace.subspace);
// blockProject(oProj,oblock,Subspace.subspace);
parallel_for(int ss=0;ss<Grid()->oSites();ss++){
for(int j=0;j<nbasis;j++){
if( disp!= 0 ) {
A[p]._odata[ss](j,i) = oProj._odata[ss](j);
}
A[self_stencil]._odata[ss](j,i) = A[self_stencil]._odata[ss](j,i) + iProj._odata[ss](j);
}
}
}
}
#if 0
///////////////////////////
// test code worth preserving in if block
///////////////////////////
std::cout<<GridLogMessage<< " Computed matrix elements "<< self_stencil <<std::endl;
for(int p=0;p<geom.npoint;p++){
std::cout<<GridLogMessage<< "A["<<p<<"]" << std::endl;
std::cout<<GridLogMessage<< A[p] << std::endl;
}
std::cout<<GridLogMessage<< " picking by block0 "<< self_stencil <<std::endl;
phi=Subspace.subspace[0];
std::vector<int> bc(FineGrid->_ndimension,0);
blockPick(Grid(),phi,tmp,bc); // Pick out a block
linop.Op(tmp,Mphi); // Apply big dop
blockProject(iProj,Mphi,Subspace.subspace); // project it and print it
std::cout<<GridLogMessage<< " Computed matrix elements from block zero only "<<std::endl;
std::cout<<GridLogMessage<< iProj <<std::endl;
std::cout<<GridLogMessage<<"Computed Coarse Operator"<<std::endl;
#endif
// ForceHermitian();
AssertHermitian();
// ForceDiagonal();
}
void ForceDiagonal(void) {
std::cout<<GridLogMessage<<"**************************************************"<<std::endl;
std::cout<<GridLogMessage<<"**** Forcing coarse operator to be diagonal ****"<<std::endl;
std::cout<<GridLogMessage<<"**************************************************"<<std::endl;
for(int p=0;p<8;p++){
A[p]=zero;
}
GridParallelRNG RNG(Grid()); RNG.SeedFixedIntegers(std::vector<int>({55,72,19,17,34}));
Lattice<iScalar<CComplex> > val(Grid()); random(RNG,val);
Complex one(1.0);
iMatrix<CComplex,nbasis> ident; ident=one;
val = val*adj(val);
val = val + 1.0;
A[8] = val*ident;
// for(int s=0;s<Grid()->oSites();s++) {
// A[8]._odata[s]=val._odata[s];
// }
}
void ForceHermitian(void) {
for(int d=0;d<4;d++){
int dd=d+1;
A[2*d] = adj(Cshift(A[2*d+1],dd,1));
}
// A[8] = 0.5*(A[8] + adj(A[8]));
}
void AssertHermitian(void) {
CoarseMatrix AA (Grid());
CoarseMatrix AAc (Grid());
CoarseMatrix Diff (Grid());
for(int d=0;d<4;d++){
int dd=d+1;
AAc = Cshift(A[2*d+1],dd,1);
AA = A[2*d];
Diff = AA - adj(AAc);
std::cout<<GridLogMessage<<"Norm diff dim "<<d<<" "<< norm2(Diff)<<std::endl;
std::cout<<GridLogMessage<<"Norm dim "<<d<<" "<< norm2(AA)<<std::endl;
}
Diff = A[8] - adj(A[8]);
std::cout<<GridLogMessage<<"Norm diff local "<< norm2(Diff)<<std::endl;
std::cout<<GridLogMessage<<"Norm local "<< norm2(A[8])<<std::endl;
}
};
}
#endif

View File

@ -1,4 +1,5 @@
/*************************************************************************************
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,77 +24,78 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef _GRID_FFT_H_ #ifndef _GRID_FFT_H_
#define _GRID_FFT_H_ #define _GRID_FFT_H_
#ifdef HAVE_FFTW #ifdef HAVE_FFTW
#if defined(USE_MKL) || defined(GRID_SYCL) #ifdef USE_MKL
#include <fftw/fftw3.h> #include <fftw/fftw3.h>
#else #else
#include <fftw3.h> #include <fftw3.h>
#endif #endif
#endif #endif
NAMESPACE_BEGIN(Grid);
template<class scalar> struct FFTW { }; namespace Grid {
template<class scalar> struct FFTW { };
#ifdef HAVE_FFTW #ifdef HAVE_FFTW
template<> struct FFTW<ComplexD> { template<> struct FFTW<ComplexD> {
public: public:
typedef fftw_complex FFTW_scalar; typedef fftw_complex FFTW_scalar;
typedef fftw_plan FFTW_plan; typedef fftw_plan FFTW_plan;
static FFTW_plan fftw_plan_many_dft(int rank, const int *n,int howmany, static FFTW_plan fftw_plan_many_dft(int rank, const int *n,int howmany,
FFTW_scalar *in, const int *inembed, FFTW_scalar *in, const int *inembed,
int istride, int idist, int istride, int idist,
FFTW_scalar *out, const int *onembed, FFTW_scalar *out, const int *onembed,
int ostride, int odist, int ostride, int odist,
int sign, unsigned flags) { int sign, unsigned flags) {
return ::fftw_plan_many_dft(rank,n,howmany,in,inembed,istride,idist,out,onembed,ostride,odist,sign,flags); return ::fftw_plan_many_dft(rank,n,howmany,in,inembed,istride,idist,out,onembed,ostride,odist,sign,flags);
} }
static void fftw_flops(const FFTW_plan p,double *add, double *mul, double *fmas){ static void fftw_flops(const FFTW_plan p,double *add, double *mul, double *fmas){
::fftw_flops(p,add,mul,fmas); ::fftw_flops(p,add,mul,fmas);
} }
inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out) { inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out) {
::fftw_execute_dft(p,in,out); ::fftw_execute_dft(p,in,out);
} }
inline static void fftw_destroy_plan(const FFTW_plan p) { inline static void fftw_destroy_plan(const FFTW_plan p) {
::fftw_destroy_plan(p); ::fftw_destroy_plan(p);
} }
}; };
template<> struct FFTW<ComplexF> { template<> struct FFTW<ComplexF> {
public: public:
typedef fftwf_complex FFTW_scalar; typedef fftwf_complex FFTW_scalar;
typedef fftwf_plan FFTW_plan; typedef fftwf_plan FFTW_plan;
static FFTW_plan fftw_plan_many_dft(int rank, const int *n,int howmany, static FFTW_plan fftw_plan_many_dft(int rank, const int *n,int howmany,
FFTW_scalar *in, const int *inembed, FFTW_scalar *in, const int *inembed,
int istride, int idist, int istride, int idist,
FFTW_scalar *out, const int *onembed, FFTW_scalar *out, const int *onembed,
int ostride, int odist, int ostride, int odist,
int sign, unsigned flags) { int sign, unsigned flags) {
return ::fftwf_plan_many_dft(rank,n,howmany,in,inembed,istride,idist,out,onembed,ostride,odist,sign,flags); return ::fftwf_plan_many_dft(rank,n,howmany,in,inembed,istride,idist,out,onembed,ostride,odist,sign,flags);
} }
static void fftw_flops(const FFTW_plan p,double *add, double *mul, double *fmas){ static void fftw_flops(const FFTW_plan p,double *add, double *mul, double *fmas){
::fftwf_flops(p,add,mul,fmas); ::fftwf_flops(p,add,mul,fmas);
} }
inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out) { inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out) {
::fftwf_execute_dft(p,in,out); ::fftwf_execute_dft(p,in,out);
} }
inline static void fftw_destroy_plan(const FFTW_plan p) { inline static void fftw_destroy_plan(const FFTW_plan p) {
::fftwf_destroy_plan(p); ::fftwf_destroy_plan(p);
} }
}; };
#endif #endif
@ -102,202 +104,203 @@ public:
#define FFTW_BACKWARD (+1) #define FFTW_BACKWARD (+1)
#endif #endif
class FFT { class FFT {
private: private:
GridCartesian *vgrid; GridCartesian *vgrid;
GridCartesian *sgrid; GridCartesian *sgrid;
int Nd; int Nd;
double flops; double flops;
double flops_call; double flops_call;
uint64_t usec; uint64_t usec;
Coordinate dimensions; std::vector<int> dimensions;
Coordinate processors; std::vector<int> processors;
Coordinate processor_coor; std::vector<int> processor_coor;
public: public:
static const int forward=FFTW_FORWARD; static const int forward=FFTW_FORWARD;
static const int backward=FFTW_BACKWARD; static const int backward=FFTW_BACKWARD;
double Flops(void) {return flops;} double Flops(void) {return flops;}
double MFlops(void) {return flops/usec;} double MFlops(void) {return flops/usec;}
double USec(void) {return (double)usec;} double USec(void) {return (double)usec;}
FFT ( GridCartesian * grid ) : FFT ( GridCartesian * grid ) :
vgrid(grid), vgrid(grid),
Nd(grid->_ndimension), Nd(grid->_ndimension),
dimensions(grid->_fdimensions), dimensions(grid->_fdimensions),
processors(grid->_processors), processors(grid->_processors),
processor_coor(grid->_processor_coor) processor_coor(grid->_processor_coor)
{
flops=0;
usec =0;
Coordinate layout(Nd,1);
sgrid = new GridCartesian(dimensions,layout,processors,*grid);
};
~FFT ( void) {
delete sgrid;
}
template<class vobj>
void FFT_dim_mask(Lattice<vobj> &result,const Lattice<vobj> &source,Coordinate mask,int sign){
conformable(result.Grid(),vgrid);
conformable(source.Grid(),vgrid);
Lattice<vobj> tmp(vgrid);
tmp = source;
for(int d=0;d<Nd;d++){
if( mask[d] ) {
FFT_dim(result,tmp,d,sign);
tmp=result;
}
}
}
template<class vobj>
void FFT_all_dim(Lattice<vobj> &result,const Lattice<vobj> &source,int sign){
Coordinate mask(Nd,1);
FFT_dim_mask(result,source,mask,sign);
}
template<class vobj>
void FFT_dim(Lattice<vobj> &result,const Lattice<vobj> &source,int dim, int sign){
#ifndef HAVE_FFTW
std::cerr << "FFTW is not compiled but is called"<<std::endl;
assert(0);
#else
conformable(result.Grid(),vgrid);
conformable(source.Grid(),vgrid);
int L = vgrid->_ldimensions[dim];
int G = vgrid->_fdimensions[dim];
Coordinate layout(Nd,1);
Coordinate pencil_gd(vgrid->_fdimensions);
pencil_gd[dim] = G*processors[dim];
// Pencil global vol LxLxGxLxL per node
GridCartesian pencil_g(pencil_gd,layout,processors,*vgrid);
// Construct pencils
typedef typename vobj::scalar_object sobj;
typedef typename sobj::scalar_type scalar;
Lattice<sobj> pgbuf(&pencil_g);
autoView(pgbuf_v , pgbuf, CpuWrite);
//std::cout << "CPU view" << std::endl;
typedef typename FFTW<scalar>::FFTW_scalar FFTW_scalar;
typedef typename FFTW<scalar>::FFTW_plan FFTW_plan;
int Ncomp = sizeof(sobj)/sizeof(scalar);
int Nlow = 1;
for(int d=0;d<dim;d++){
Nlow*=vgrid->_ldimensions[d];
}
int rank = 1; /* 1d transforms */
int n[] = {G}; /* 1d transforms of length G */
int howmany = Ncomp;
int odist,idist,istride,ostride;
idist = odist = 1; /* Distance between consecutive FT's */
istride = ostride = Ncomp*Nlow; /* distance between two elements in the same FT */
int *inembed = n, *onembed = n;
scalar div;
if ( sign == backward ) div = 1.0/G;
else if ( sign == forward ) div = 1.0;
else assert(0);
//std::cout << GridLogPerformance<<"Making FFTW plan" << std::endl;
FFTW_plan p;
{ {
FFTW_scalar *in = (FFTW_scalar *)&pgbuf_v[0]; flops=0;
FFTW_scalar *out= (FFTW_scalar *)&pgbuf_v[0]; usec =0;
p = FFTW<scalar>::fftw_plan_many_dft(rank,n,howmany, std::vector<int> layout(Nd,1);
in,inembed, sgrid = new GridCartesian(dimensions,layout,processors);
istride,idist, };
out,onembed,
ostride, odist, ~FFT ( void) {
sign,FFTW_ESTIMATE); delete sgrid;
} }
// Barrel shift and collect global pencil template<class vobj>
//std::cout << GridLogPerformance<<"Making pencil" << std::endl; void FFT_dim_mask(Lattice<vobj> &result,const Lattice<vobj> &source,std::vector<int> mask,int sign){
Coordinate lcoor(Nd), gcoor(Nd);
result = source; conformable(result._grid,vgrid);
int pc = processor_coor[dim]; conformable(source._grid,vgrid);
for(int p=0;p<processors[dim];p++) { Lattice<vobj> tmp(vgrid);
{ tmp = source;
autoView(r_v,result,CpuRead); for(int d=0;d<Nd;d++){
autoView(p_v,pgbuf,CpuWrite); if( mask[d] ) {
thread_for(idx, sgrid->lSites(),{ FFT_dim(result,tmp,d,sign);
Coordinate cbuf(Nd); tmp=result;
sobj s;
sgrid->LocalIndexToLocalCoor(idx,cbuf);
peekLocalSite(s,r_v,cbuf);
cbuf[dim]+=((pc+p) % processors[dim])*L;
pokeLocalSite(s,p_v,cbuf);
});
}
if (p != processors[dim] - 1) {
result = Cshift(result,dim,L);
}
}
//std::cout <<GridLogPerformance<< "Looping orthog" << std::endl;
// Loop over orthog coords
int NN=pencil_g.lSites();
GridStopWatch timer;
timer.Start();
thread_for( idx,NN,{
Coordinate cbuf(Nd);
pencil_g.LocalIndexToLocalCoor(idx, cbuf);
if ( cbuf[dim] == 0 ) { // restricts loop to plane at lcoor[dim]==0
FFTW_scalar *in = (FFTW_scalar *)&pgbuf_v[idx];
FFTW_scalar *out= (FFTW_scalar *)&pgbuf_v[idx];
FFTW<scalar>::fftw_execute_dft(p,in,out);
} }
}); }
timer.Stop();
// performance counting
double add,mul,fma;
FFTW<scalar>::fftw_flops(p,&add,&mul,&fma);
flops_call = add+mul+2.0*fma;
usec += timer.useconds();
flops+= flops_call*NN;
//std::cout <<GridLogPerformance<< "Writing back results " << std::endl;
// writing out result
{
autoView(pgbuf_v,pgbuf,CpuRead);
autoView(result_v,result,CpuWrite);
thread_for(idx,sgrid->lSites(),{
Coordinate clbuf(Nd), cgbuf(Nd);
sobj s;
sgrid->LocalIndexToLocalCoor(idx,clbuf);
cgbuf = clbuf;
cgbuf[dim] = clbuf[dim]+L*pc;
peekLocalSite(s,pgbuf_v,cgbuf);
pokeLocalSite(s,result_v,clbuf);
});
} }
result = result*div;
template<class vobj>
void FFT_all_dim(Lattice<vobj> &result,const Lattice<vobj> &source,int sign){
std::vector<int> mask(Nd,1);
FFT_dim_mask(result,source,mask,sign);
}
template<class vobj>
void FFT_dim(Lattice<vobj> &result,const Lattice<vobj> &source,int dim, int sign){
#ifndef HAVE_FFTW
assert(0);
#else
conformable(result._grid,vgrid);
conformable(source._grid,vgrid);
int L = vgrid->_ldimensions[dim];
int G = vgrid->_fdimensions[dim];
std::vector<int> layout(Nd,1);
std::vector<int> pencil_gd(vgrid->_fdimensions);
pencil_gd[dim] = G*processors[dim];
// Pencil global vol LxLxGxLxL per node
GridCartesian pencil_g(pencil_gd,layout,processors);
// Construct pencils
typedef typename vobj::scalar_object sobj;
typedef typename sobj::scalar_type scalar;
Lattice<sobj> pgbuf(&pencil_g);
//std::cout <<GridLogPerformance<< "Destroying plan " << std::endl;
// destroying plan
FFTW<scalar>::fftw_destroy_plan(p);
#endif
}
};
NAMESPACE_END(Grid); typedef typename FFTW<scalar>::FFTW_scalar FFTW_scalar;
typedef typename FFTW<scalar>::FFTW_plan FFTW_plan;
int Ncomp = sizeof(sobj)/sizeof(scalar);
int Nlow = 1;
for(int d=0;d<dim;d++){
Nlow*=vgrid->_ldimensions[d];
}
int rank = 1; /* 1d transforms */
int n[] = {G}; /* 1d transforms of length G */
int howmany = Ncomp;
int odist,idist,istride,ostride;
idist = odist = 1; /* Distance between consecutive FT's */
istride = ostride = Ncomp*Nlow; /* distance between two elements in the same FT */
int *inembed = n, *onembed = n;
scalar div;
if ( sign == backward ) div = 1.0/G;
else if ( sign == forward ) div = 1.0;
else assert(0);
FFTW_plan p;
{
FFTW_scalar *in = (FFTW_scalar *)&pgbuf._odata[0];
FFTW_scalar *out= (FFTW_scalar *)&pgbuf._odata[0];
p = FFTW<scalar>::fftw_plan_many_dft(rank,n,howmany,
in,inembed,
istride,idist,
out,onembed,
ostride, odist,
sign,FFTW_ESTIMATE);
}
// Barrel shift and collect global pencil
std::vector<int> lcoor(Nd), gcoor(Nd);
result = source;
int pc = processor_coor[dim];
for(int p=0;p<processors[dim];p++) {
PARALLEL_REGION
{
std::vector<int> cbuf(Nd);
sobj s;
PARALLEL_FOR_LOOP_INTERN
for(int idx=0;idx<sgrid->lSites();idx++) {
sgrid->LocalIndexToLocalCoor(idx,cbuf);
peekLocalSite(s,result,cbuf);
cbuf[dim]+=((pc+p) % processors[dim])*L;
// cbuf[dim]+=p*L;
pokeLocalSite(s,pgbuf,cbuf);
}
}
if (p != processors[dim] - 1)
{
result = Cshift(result,dim,L);
}
}
// Loop over orthog coords
int NN=pencil_g.lSites();
GridStopWatch timer;
timer.Start();
PARALLEL_REGION
{
std::vector<int> cbuf(Nd);
PARALLEL_FOR_LOOP_INTERN
for(int idx=0;idx<NN;idx++) {
pencil_g.LocalIndexToLocalCoor(idx, cbuf);
if ( cbuf[dim] == 0 ) { // restricts loop to plane at lcoor[dim]==0
FFTW_scalar *in = (FFTW_scalar *)&pgbuf._odata[idx];
FFTW_scalar *out= (FFTW_scalar *)&pgbuf._odata[idx];
FFTW<scalar>::fftw_execute_dft(p,in,out);
}
}
}
timer.Stop();
// performance counting
double add,mul,fma;
FFTW<scalar>::fftw_flops(p,&add,&mul,&fma);
flops_call = add+mul+2.0*fma;
usec += timer.useconds();
flops+= flops_call*NN;
// writing out result
PARALLEL_REGION
{
std::vector<int> clbuf(Nd), cgbuf(Nd);
sobj s;
PARALLEL_FOR_LOOP_INTERN
for(int idx=0;idx<sgrid->lSites();idx++) {
sgrid->LocalIndexToLocalCoor(idx,clbuf);
cgbuf = clbuf;
cgbuf[dim] = clbuf[dim]+L*pc;
peekLocalSite(s,pgbuf,cgbuf);
pokeLocalSite(s,result,clbuf);
}
}
result = result*div;
// destroying plan
FFTW<scalar>::fftw_destroy_plan(p);
#endif
}
};
}
#endif #endif

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@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,30 +23,24 @@ Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_PRECONDITIONER_H #ifndef GRID_PRECONDITIONER_H
#define GRID_PRECONDITIONER_H #define GRID_PRECONDITIONER_H
NAMESPACE_BEGIN(Grid); namespace Grid {
template<class Field> using Preconditioner = LinearFunction<Field> ; template<class Field> class Preconditioner : public LinearFunction<Field> {
virtual void operator()(const Field &src, Field & psi)=0;
};
/* template<class Field> class TrivialPrecon : public Preconditioner<Field> {
template<class Field> class Preconditioner : public LinearFunction<Field> { public:
using LinearFunction<Field>::operator(); void operator()(const Field &src, Field & psi){
virtual void operator()(const Field &src, Field & psi)=0; psi = src;
}; }
*/ TrivialPrecon(void){};
};
template<class Field> class TrivialPrecon : public Preconditioner<Field> { }
public:
using Preconditioner<Field>::operator();
virtual void operator()(const Field &src, Field & psi){
psi = src;
}
TrivialPrecon(void){};
};
NAMESPACE_END(Grid);
#endif #endif

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@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,64 +23,49 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_ALGORITHM_SPARSE_MATRIX_H #ifndef GRID_ALGORITHM_SPARSE_MATRIX_H
#define GRID_ALGORITHM_SPARSE_MATRIX_H #define GRID_ALGORITHM_SPARSE_MATRIX_H
NAMESPACE_BEGIN(Grid); namespace Grid {
///////////////////////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////////////////////////
// Interface defining what I expect of a general sparse matrix, such as a Fermion action // Interface defining what I expect of a general sparse matrix, such as a Fermion action
///////////////////////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SparseMatrixBase { template<class Field> class SparseMatrixBase {
public: public:
virtual GridBase *Grid(void) =0; virtual GridBase *Grid(void) =0;
// Full checkerboar operations // Full checkerboar operations
virtual void M (const Field &in, Field &out)=0; virtual RealD M (const Field &in, Field &out)=0;
virtual void Mdag (const Field &in, Field &out)=0; virtual RealD Mdag (const Field &in, Field &out)=0;
virtual void MdagM(const Field &in, Field &out) { virtual void MdagM(const Field &in, Field &out,RealD &ni,RealD &no) {
Field tmp (in.Grid()); Field tmp (in._grid);
M(in,tmp); ni=M(in,tmp);
Mdag(tmp,out); no=Mdag(tmp,out);
} }
virtual void MMdag(const Field &in, Field &out) { virtual void Mdiag (const Field &in, Field &out)=0;
Field tmp (in.Grid()); virtual void Mdir (const Field &in, Field &out,int dir, int disp)=0;
Mdag(in,tmp); };
M(tmp,out);
}
virtual void Mdiag (const Field &in, Field &out)=0;
virtual void Mdir (const Field &in, Field &out,int dir, int disp)=0;
virtual void MdirAll (const Field &in, std::vector<Field> &out)=0;
virtual ~SparseMatrixBase() {};
};
///////////////////////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////////////////////////
// Interface augmented by a red black sparse matrix, such as a Fermion action // Interface augmented by a red black sparse matrix, such as a Fermion action
///////////////////////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class CheckerBoardedSparseMatrixBase : public SparseMatrixBase<Field> { template<class Field> class CheckerBoardedSparseMatrixBase : public SparseMatrixBase<Field> {
public: public:
virtual GridBase *RedBlackGrid(void)=0; virtual GridBase *RedBlackGrid(void)=0;
// half checkerboard operaions
virtual void Meooe (const Field &in, Field &out)=0;
virtual void Mooee (const Field &in, Field &out)=0;
virtual void MooeeInv (const Field &in, Field &out)=0;
////////////////////////////////////////////////////////////////////// virtual void MeooeDag (const Field &in, Field &out)=0;
// Query the even even properties to make algorithmic decisions virtual void MooeeDag (const Field &in, Field &out)=0;
////////////////////////////////////////////////////////////////////// virtual void MooeeInvDag (const Field &in, Field &out)=0;
virtual RealD Mass(void) { return 0.0; };
virtual int ConstEE(void) { return 1; }; // Disable assumptions unless overridden
virtual int isTrivialEE(void) { return 0; }; // by a derived class that knows better
// half checkerboard operaions };
virtual void Meooe (const Field &in, Field &out)=0;
virtual void Mooee (const Field &in, Field &out)=0;
virtual void MooeeInv (const Field &in, Field &out)=0;
virtual void MeooeDag (const Field &in, Field &out)=0; }
virtual void MooeeDag (const Field &in, Field &out)=0;
virtual void MooeeInvDag (const Field &in, Field &out)=0;
virtual ~CheckerBoardedSparseMatrixBase() {};
};
NAMESPACE_END(Grid);
#endif #endif

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -25,14 +25,14 @@ Author: Christoph Lehner <clehner@bnl.gov>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_CHEBYSHEV_H #ifndef GRID_CHEBYSHEV_H
#define GRID_CHEBYSHEV_H #define GRID_CHEBYSHEV_H
#include <Grid/algorithms/LinearOperator.h> #include <Grid/algorithms/LinearOperator.h>
NAMESPACE_BEGIN(Grid); namespace Grid {
struct ChebyParams : Serializable { struct ChebyParams : Serializable {
GRID_SERIALIZABLE_CLASS_MEMBERS(ChebyParams, GRID_SERIALIZABLE_CLASS_MEMBERS(ChebyParams,
@ -41,374 +41,337 @@ struct ChebyParams : Serializable {
int, Npoly); int, Npoly);
}; };
//////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////
// Generic Chebyshev approximations // Generic Chebyshev approximations
//////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> template<class Field>
class Chebyshev : public OperatorFunction<Field> { class Chebyshev : public OperatorFunction<Field> {
private: private:
using OperatorFunction<Field>::operator(); std::vector<RealD> Coeffs;
int order;
RealD hi;
RealD lo;
std::vector<RealD> Coeffs; public:
int order; void csv(std::ostream &out){
RealD hi; RealD diff = hi-lo;
RealD lo; RealD delta = (hi-lo)*1.0e-9;
for (RealD x=lo; x<hi; x+=delta) {
public: delta*=1.1;
void csv(std::ostream &out){ RealD f = approx(x);
RealD diff = hi-lo; out<< x<<" "<<f<<std::endl;
RealD delta = diff*1.0e-9;
for (RealD x=lo; x<hi; x+=delta) {
delta*=1.02;
RealD f = approx(x);
out<< x<<" "<<f<<std::endl;
}
return;
}
// Convenience for plotting the approximation
void PlotApprox(std::ostream &out) {
out<<"Polynomial approx ["<<lo<<","<<hi<<"]"<<std::endl;
for(RealD x=lo;x<hi;x+=(hi-lo)/50.0){
out <<x<<"\t"<<approx(x)<<std::endl;
}
};
Chebyshev(){};
Chebyshev(ChebyParams p){ Init(p.alpha,p.beta,p.Npoly);};
Chebyshev(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD) ) {Init(_lo,_hi,_order,func);};
Chebyshev(RealD _lo,RealD _hi,int _order) {Init(_lo,_hi,_order);};
////////////////////////////////////////////////////////////////////////////////////////////////////
// c.f. numerical recipes "chebft"/"chebev". This is sec 5.8 "Chebyshev approximation".
////////////////////////////////////////////////////////////////////////////////////////////////////
// CJ: the one we need for Lanczos
void Init(RealD _lo,RealD _hi,int _order)
{
lo=_lo;
hi=_hi;
order=_order;
if(order < 2) exit(-1);
Coeffs.resize(order,0.0);
Coeffs[order-1] = 1.0;
};
// PB - more efficient low pass drops high modes above the low as 1/x uses all Chebyshev's.
// Similar kick effect below the threshold as Lanczos filter approach
void InitLowPass(RealD _lo,RealD _hi,int _order)
{
lo=_lo;
hi=_hi;
order=_order;
if(order < 2) exit(-1);
Coeffs.resize(order);
for(int j=0;j<order;j++){
RealD k=(order-1.0);
RealD s=std::cos( j*M_PI*(k+0.5)/order );
Coeffs[j] = s * 2.0/order;
}
};
void Init(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD))
{
lo=_lo;
hi=_hi;
order=_order;
if(order < 2) exit(-1);
Coeffs.resize(order);
for(int j=0;j<order;j++){
RealD s=0;
for(int k=0;k<order;k++){
RealD y=std::cos(M_PI*(k+0.5)/order);
RealD x=0.5*(y*(hi-lo)+(hi+lo));
RealD f=func(x);
s=s+f*std::cos( j*M_PI*(k+0.5)/order );
} }
Coeffs[j] = s * 2.0/order; return;
} }
};
template<class functor> // Convenience for plotting the approximation
void Init(RealD _lo,RealD _hi,int _order, functor & func) void PlotApprox(std::ostream &out) {
{ out<<"Polynomial approx ["<<lo<<","<<hi<<"]"<<std::endl;
lo=_lo; for(RealD x=lo;x<hi;x+=(hi-lo)/50.0){
hi=_hi; out <<x<<"\t"<<approx(x)<<std::endl;
order=_order;
if(order < 2) exit(-1);
Coeffs.resize(order);
for(int j=0;j<order;j++){
RealD s=0;
for(int k=0;k<order;k++){
RealD y=std::cos(M_PI*(k+0.5)/order);
RealD x=0.5*(y*(hi-lo)+(hi+lo));
RealD f=func(x);
s=s+f*std::cos( j*M_PI*(k+0.5)/order );
} }
Coeffs[j] = s * 2.0/order; };
}
}; Chebyshev(){};
Chebyshev(ChebyParams p){ Init(p.alpha,p.beta,p.Npoly);};
Chebyshev(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD) ) {Init(_lo,_hi,_order,func);};
Chebyshev(RealD _lo,RealD _hi,int _order) {Init(_lo,_hi,_order);};
////////////////////////////////////////////////////////////////////////////////////////////////////
// c.f. numerical recipes "chebft"/"chebev". This is sec 5.8 "Chebyshev approximation".
////////////////////////////////////////////////////////////////////////////////////////////////////
// CJ: the one we need for Lanczos
void Init(RealD _lo,RealD _hi,int _order)
{
lo=_lo;
hi=_hi;
order=_order;
if(order < 2) exit(-1);
Coeffs.resize(order);
Coeffs.assign(0.,order);
Coeffs[order-1] = 1.;
};
void Init(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD))
{
lo=_lo;
hi=_hi;
order=_order;
if(order < 2) exit(-1);
Coeffs.resize(order);
for(int j=0;j<order;j++){
RealD s=0;
for(int k=0;k<order;k++){
RealD y=std::cos(M_PI*(k+0.5)/order);
RealD x=0.5*(y*(hi-lo)+(hi+lo));
RealD f=func(x);
s=s+f*std::cos( j*M_PI*(k+0.5)/order );
}
Coeffs[j] = s * 2.0/order;
}
};
void JacksonSmooth(void){ void JacksonSmooth(void){
RealD M=order; RealD M=order;
RealD alpha = M_PI/(M+2); RealD alpha = M_PI/(M+2);
RealD lmax = std::cos(alpha); RealD lmax = std::cos(alpha);
RealD sumUsq =0; RealD sumUsq =0;
std::vector<RealD> U(M); std::vector<RealD> U(M);
std::vector<RealD> a(M); std::vector<RealD> a(M);
std::vector<RealD> g(M); std::vector<RealD> g(M);
for(int n=0;n<=M;n++){ for(int n=0;n<=M;n++){
U[n] = std::sin((n+1)*std::acos(lmax))/std::sin(std::acos(lmax)); U[n] = std::sin((n+1)*std::acos(lmax))/std::sin(std::acos(lmax));
sumUsq += U[n]*U[n]; sumUsq += U[n]*U[n];
} }
sumUsq = std::sqrt(sumUsq); sumUsq = std::sqrt(sumUsq);
for(int i=1;i<=M;i++){ for(int i=1;i<=M;i++){
a[i] = U[i]/sumUsq; a[i] = U[i]/sumUsq;
} }
g[0] = 1.0; g[0] = 1.0;
for(int m=1;m<=M;m++){ for(int m=1;m<=M;m++){
g[m] = 0; g[m] = 0;
for(int i=0;i<=M-m;i++){ for(int i=0;i<=M-m;i++){
g[m]+= a[i]*a[m+i]; g[m]+= a[i]*a[m+i];
}
}
for(int m=1;m<=M;m++){
Coeffs[m]*=g[m];
} }
} }
for(int m=1;m<=M;m++){ RealD approx(RealD x) // Convenience for plotting the approximation
Coeffs[m]*=g[m]; {
} RealD Tn;
} RealD Tnm;
RealD approx(RealD x) // Convenience for plotting the approximation RealD Tnp;
{
RealD Tn;
RealD Tnm;
RealD Tnp;
RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo)); RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
RealD T0=1; RealD T0=1;
RealD T1=y; RealD T1=y;
RealD sum; RealD sum;
sum = 0.5*Coeffs[0]*T0; sum = 0.5*Coeffs[0]*T0;
sum+= Coeffs[1]*T1; sum+= Coeffs[1]*T1;
Tn =T1; Tn =T1;
Tnm=T0; Tnm=T0;
for(int i=2;i<order;i++){ for(int i=2;i<order;i++){
Tnp=2*y*Tn-Tnm; Tnp=2*y*Tn-Tnm;
Tnm=Tn; Tnm=Tn;
Tn =Tnp; Tn =Tnp;
sum+= Tn*Coeffs[i]; sum+= Tn*Coeffs[i];
}
return sum;
};
RealD approxD(RealD x)
{
RealD Un;
RealD Unm;
RealD Unp;
RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
RealD U0=1;
RealD U1=2*y;
RealD sum;
sum = Coeffs[1]*U0;
sum+= Coeffs[2]*U1*2.0;
Un =U1;
Unm=U0;
for(int i=2;i<order-1;i++){
Unp=2*y*Un-Unm;
Unm=Un;
Un =Unp;
sum+= Un*Coeffs[i+1]*(i+1.0);
}
return sum/(0.5*(hi-lo));
};
RealD approxInv(RealD z, RealD x0, int maxiter, RealD resid) {
RealD x = x0;
RealD eps;
int i;
for (i=0;i<maxiter;i++) {
eps = approx(x) - z;
if (fabs(eps / z) < resid)
return x;
x = x - eps / approxD(x);
}
return std::numeric_limits<double>::quiet_NaN();
}
// Implement the required interface
void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
GridBase *grid=in.Grid();
int vol=grid->gSites();
typedef typename Field::vector_type vector_type;
Field T0(grid); T0 = in;
Field T1(grid);
Field T2(grid);
Field y(grid);
Field *Tnm = &T0;
Field *Tn = &T1;
Field *Tnp = &T2;
// Tn=T1 = (xscale M + mscale)in
RealD xscale = 2.0/(hi-lo);
RealD mscale = -(hi+lo)/(hi-lo);
Linop.HermOp(T0,y);
axpby(T1,xscale,mscale,y,in);
// sum = .5 c[0] T0 + c[1] T1
// out = ()*T0 + Coeffs[1]*T1;
axpby(out,0.5*Coeffs[0],Coeffs[1],T0,T1);
for(int n=2;n<order;n++){
Linop.HermOp(*Tn,y);
axpby(y,xscale,mscale,y,(*Tn));
axpby(*Tnp,2.0,-1.0,y,(*Tnm));
if ( Coeffs[n] != 0.0) {
axpy(out,Coeffs[n],*Tnp,out);
} }
return sum;
};
// Cycle pointers to avoid copies RealD approxD(RealD x)
Field *swizzle = Tnm; {
Tnm =Tn; RealD Un;
Tn =Tnp; RealD Unm;
Tnp =swizzle; RealD Unp;
RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
RealD U0=1;
RealD U1=2*y;
RealD sum;
sum = Coeffs[1]*U0;
sum+= Coeffs[2]*U1*2.0;
Un =U1;
Unm=U0;
for(int i=2;i<order-1;i++){
Unp=2*y*Un-Unm;
Unm=Un;
Un =Unp;
sum+= Un*Coeffs[i+1]*(i+1.0);
}
return sum/(0.5*(hi-lo));
};
RealD approxInv(RealD z, RealD x0, int maxiter, RealD resid) {
RealD x = x0;
RealD eps;
int i;
for (i=0;i<maxiter;i++) {
eps = approx(x) - z;
if (fabs(eps / z) < resid)
return x;
x = x - eps / approxD(x);
}
return std::numeric_limits<double>::quiet_NaN();
} }
}
}; // Implement the required interface
void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
GridBase *grid=in._grid;
template<class Field> // std::cout << "Chevyshef(): in._grid="<<in._grid<<std::endl;
class ChebyshevLanczos : public Chebyshev<Field> { //std::cout <<" Linop.Grid()="<<Linop.Grid()<<"Linop.RedBlackGrid()="<<Linop.RedBlackGrid()<<std::endl;
private:
std::vector<RealD> Coeffs;
int order;
RealD alpha;
RealD beta;
RealD mu;
public: int vol=grid->gSites();
ChebyshevLanczos(RealD _alpha,RealD _beta,RealD _mu,int _order) :
alpha(_alpha),
beta(_beta),
mu(_mu)
{
order=_order;
Coeffs.resize(order);
for(int i=0;i<_order;i++){
Coeffs[i] = 0.0;
}
Coeffs[order-1]=1.0;
};
void csv(std::ostream &out){ Field T0(grid); T0 = in;
for (RealD x=-1.2*alpha; x<1.2*alpha; x+=(2.0*alpha)/10000) { Field T1(grid);
RealD f = approx(x); Field T2(grid);
out<< x<<" "<<f<<std::endl; Field y(grid);
}
return;
}
RealD approx(RealD xx) // Convenience for plotting the approximation
{
RealD Tn;
RealD Tnm;
RealD Tnp;
Real aa = alpha * alpha;
Real bb = beta * beta;
RealD x = ( 2.0 * (xx-mu)*(xx-mu) - (aa+bb) ) / (aa-bb); Field *Tnm = &T0;
Field *Tn = &T1;
Field *Tnp = &T2;
RealD y= x; // Tn=T1 = (xscale M + mscale)in
RealD xscale = 2.0/(hi-lo);
RealD T0=1; RealD mscale = -(hi+lo)/(hi-lo);
RealD T1=y; Linop.HermOp(T0,y);
T1=y*xscale+in*mscale;
RealD sum;
sum = 0.5*Coeffs[0]*T0;
sum+= Coeffs[1]*T1;
Tn =T1;
Tnm=T0;
for(int i=2;i<order;i++){
Tnp=2*y*Tn-Tnm;
Tnm=Tn;
Tn =Tnp;
sum+= Tn*Coeffs[i];
}
return sum;
};
// shift_Multiply in Rudy's code // sum = .5 c[0] T0 + c[1] T1
void AminusMuSq(LinearOperatorBase<Field> &Linop, const Field &in, Field &out) out = (0.5*Coeffs[0])*T0 + Coeffs[1]*T1;
{ for(int n=2;n<order;n++){
GridBase *grid=in.Grid();
Field tmp(grid);
RealD aa= alpha*alpha;
RealD bb= beta * beta;
Linop.HermOp(in,out);
out = out - mu*in;
Linop.HermOp(out,tmp);
tmp = tmp - mu * out;
out = (2.0/ (aa-bb) ) * tmp - ((aa+bb)/(aa-bb))*in;
};
// Implement the required interface
void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
GridBase *grid=in.Grid();
int vol=grid->gSites();
Field T0(grid); T0 = in;
Field T1(grid);
Field T2(grid);
Field y(grid);
Field *Tnm = &T0;
Field *Tn = &T1;
Field *Tnp = &T2;
// Tn=T1 = (xscale M )*in
AminusMuSq(Linop,T0,T1);
// sum = .5 c[0] T0 + c[1] T1
out = (0.5*Coeffs[0])*T0 + Coeffs[1]*T1;
for(int n=2;n<order;n++){
AminusMuSq(Linop,*Tn,y); Linop.HermOp(*Tn,y);
*Tnp=2.0*y-(*Tnm); y=xscale*y+mscale*(*Tn);
out=out+Coeffs[n]* (*Tnp); *Tnp=2.0*y-(*Tnm);
// Cycle pointers to avoid copies out=out+Coeffs[n]* (*Tnp);
Field *swizzle = Tnm;
Tnm =Tn; // Cycle pointers to avoid copies
Tn =Tnp; Field *swizzle = Tnm;
Tnp =swizzle; Tnm =Tn;
Tn =Tnp;
Tnp =swizzle;
}
} }
} };
};
NAMESPACE_END(Grid);
template<class Field>
class ChebyshevLanczos : public Chebyshev<Field> {
private:
std::vector<RealD> Coeffs;
int order;
RealD alpha;
RealD beta;
RealD mu;
public:
ChebyshevLanczos(RealD _alpha,RealD _beta,RealD _mu,int _order) :
alpha(_alpha),
beta(_beta),
mu(_mu)
{
order=_order;
Coeffs.resize(order);
for(int i=0;i<_order;i++){
Coeffs[i] = 0.0;
}
Coeffs[order-1]=1.0;
};
void csv(std::ostream &out){
for (RealD x=-1.2*alpha; x<1.2*alpha; x+=(2.0*alpha)/10000) {
RealD f = approx(x);
out<< x<<" "<<f<<std::endl;
}
return;
}
RealD approx(RealD xx) // Convenience for plotting the approximation
{
RealD Tn;
RealD Tnm;
RealD Tnp;
Real aa = alpha * alpha;
Real bb = beta * beta;
RealD x = ( 2.0 * (xx-mu)*(xx-mu) - (aa+bb) ) / (aa-bb);
RealD y= x;
RealD T0=1;
RealD T1=y;
RealD sum;
sum = 0.5*Coeffs[0]*T0;
sum+= Coeffs[1]*T1;
Tn =T1;
Tnm=T0;
for(int i=2;i<order;i++){
Tnp=2*y*Tn-Tnm;
Tnm=Tn;
Tn =Tnp;
sum+= Tn*Coeffs[i];
}
return sum;
};
// shift_Multiply in Rudy's code
void AminusMuSq(LinearOperatorBase<Field> &Linop, const Field &in, Field &out)
{
GridBase *grid=in._grid;
Field tmp(grid);
RealD aa= alpha*alpha;
RealD bb= beta * beta;
Linop.HermOp(in,out);
out = out - mu*in;
Linop.HermOp(out,tmp);
tmp = tmp - mu * out;
out = (2.0/ (aa-bb) ) * tmp - ((aa+bb)/(aa-bb))*in;
};
// Implement the required interface
void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
GridBase *grid=in._grid;
int vol=grid->gSites();
Field T0(grid); T0 = in;
Field T1(grid);
Field T2(grid);
Field y(grid);
Field *Tnm = &T0;
Field *Tn = &T1;
Field *Tnp = &T2;
// Tn=T1 = (xscale M )*in
AminusMuSq(Linop,T0,T1);
// sum = .5 c[0] T0 + c[1] T1
out = (0.5*Coeffs[0])*T0 + Coeffs[1]*T1;
for(int n=2;n<order;n++){
AminusMuSq(Linop,*Tn,y);
*Tnp=2.0*y-(*Tnm);
out=out+Coeffs[n]* (*Tnp);
// Cycle pointers to avoid copies
Field *swizzle = Tnm;
Tnm =Tn;
Tn =Tnp;
Tnp =swizzle;
}
}
};
}
#endif #endif

View File

@ -26,127 +26,127 @@ with this program; if not, write to the Free Software Foundation, Inc.,
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef INCLUDED_FORECAST_H #ifndef INCLUDED_FORECAST_H
#define INCLUDED_FORECAST_H #define INCLUDED_FORECAST_H
NAMESPACE_BEGIN(Grid); namespace Grid {
// Abstract base class. // Abstract base class.
// Takes a matrix (Mat), a source (phi), and a vector of Fields (chi) // Takes a matrix (Mat), a source (phi), and a vector of Fields (chi)
// and returns a forecasted solution to the system D*psi = phi (psi). // and returns a forecasted solution to the system D*psi = phi (psi).
template<class Matrix, class Field> template<class Matrix, class Field>
class Forecast class Forecast
{
public:
virtual Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& chi) = 0;
};
// Implementation of Brower et al.'s chronological inverter (arXiv:hep-lat/9509012),
// used to forecast solutions across poles of the EOFA heatbath.
//
// Modified from CPS (cps_pp/src/util/dirac_op/d_op_base/comsrc/minresext.C)
template<class Matrix, class Field>
class ChronoForecast : public Forecast<Matrix,Field>
{
public:
Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& prev_solns)
{ {
int degree = prev_solns.size(); public:
Field chi(phi); // forecasted solution virtual Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& chi) = 0;
// Trivial cases
if(degree == 0){ chi = Zero(); return chi; }
else if(degree == 1){ return prev_solns[0]; }
// RealD dot;
ComplexD xp;
Field r(phi); // residual
Field Mv(phi);
std::vector<Field> v(prev_solns); // orthonormalized previous solutions
std::vector<Field> MdagMv(degree,phi);
// Array to hold the matrix elements
std::vector<std::vector<ComplexD>> G(degree, std::vector<ComplexD>(degree));
// Solution and source vectors
std::vector<ComplexD> a(degree);
std::vector<ComplexD> b(degree);
// Orthonormalize the vector basis
for(int i=0; i<degree; i++){
v[i] *= 1.0/std::sqrt(norm2(v[i]));
for(int j=i+1; j<degree; j++){ v[j] -= innerProduct(v[i],v[j]) * v[i]; }
}
// Perform sparse matrix multiplication and construct rhs
for(int i=0; i<degree; i++){
b[i] = innerProduct(v[i],phi);
Mat.M(v[i],Mv);
Mat.Mdag(Mv,MdagMv[i]);
G[i][i] = innerProduct(v[i],MdagMv[i]);
}
// Construct the matrix
for(int j=0; j<degree; j++){
for(int k=j+1; k<degree; k++){
G[j][k] = innerProduct(v[j],MdagMv[k]);
G[k][j] = conjugate(G[j][k]);
}}
// Gauss-Jordan elimination with partial pivoting
for(int i=0; i<degree; i++){
// Perform partial pivoting
int k = i;
for(int j=i+1; j<degree; j++){ if(abs(G[j][j]) > abs(G[k][k])){ k = j; } }
if(k != i){
xp = b[k];
b[k] = b[i];
b[i] = xp;
for(int j=0; j<degree; j++){
xp = G[k][j];
G[k][j] = G[i][j];
G[i][j] = xp;
}
}
// Convert matrix to upper triangular form
for(int j=i+1; j<degree; j++){
xp = G[j][i]/G[i][i];
b[j] -= xp * b[i];
for(int k=0; k<degree; k++){ G[j][k] -= xp*G[i][k]; }
}
}
// Use Gaussian elimination to solve equations and calculate initial guess
chi = Zero();
r = phi;
for(int i=degree-1; i>=0; i--){
a[i] = 0.0;
for(int j=i+1; j<degree; j++){ a[i] += G[i][j] * a[j]; }
a[i] = (b[i]-a[i])/G[i][i];
chi += a[i]*v[i];
r -= a[i]*MdagMv[i];
}
RealD true_r(0.0);
ComplexD tmp;
for(int i=0; i<degree; i++){
tmp = -b[i];
for(int j=0; j<degree; j++){ tmp += G[i][j]*a[j]; }
tmp = conjugate(tmp)*tmp;
true_r += std::sqrt(tmp.real());
}
RealD error = std::sqrt(norm2(r)/norm2(phi));
std::cout << GridLogMessage << "ChronoForecast: |res|/|src| = " << error << std::endl;
return chi;
}; };
};
NAMESPACE_END(Grid); // Implementation of Brower et al.'s chronological inverter (arXiv:hep-lat/9509012),
// used to forecast solutions across poles of the EOFA heatbath.
//
// Modified from CPS (cps_pp/src/util/dirac_op/d_op_base/comsrc/minresext.C)
template<class Matrix, class Field>
class ChronoForecast : public Forecast<Matrix,Field>
{
public:
Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& prev_solns)
{
int degree = prev_solns.size();
Field chi(phi); // forecasted solution
// Trivial cases
if(degree == 0){ chi = zero; return chi; }
else if(degree == 1){ return prev_solns[0]; }
RealD dot;
ComplexD xp;
Field r(phi); // residual
Field Mv(phi);
std::vector<Field> v(prev_solns); // orthonormalized previous solutions
std::vector<Field> MdagMv(degree,phi);
// Array to hold the matrix elements
std::vector<std::vector<ComplexD>> G(degree, std::vector<ComplexD>(degree));
// Solution and source vectors
std::vector<ComplexD> a(degree);
std::vector<ComplexD> b(degree);
// Orthonormalize the vector basis
for(int i=0; i<degree; i++){
v[i] *= 1.0/std::sqrt(norm2(v[i]));
for(int j=i+1; j<degree; j++){ v[j] -= innerProduct(v[i],v[j]) * v[i]; }
}
// Perform sparse matrix multiplication and construct rhs
for(int i=0; i<degree; i++){
b[i] = innerProduct(v[i],phi);
Mat.M(v[i],Mv);
Mat.Mdag(Mv,MdagMv[i]);
G[i][i] = innerProduct(v[i],MdagMv[i]);
}
// Construct the matrix
for(int j=0; j<degree; j++){
for(int k=j+1; k<degree; k++){
G[j][k] = innerProduct(v[j],MdagMv[k]);
G[k][j] = std::conj(G[j][k]);
}}
// Gauss-Jordan elimination with partial pivoting
for(int i=0; i<degree; i++){
// Perform partial pivoting
int k = i;
for(int j=i+1; j<degree; j++){ if(std::abs(G[j][j]) > std::abs(G[k][k])){ k = j; } }
if(k != i){
xp = b[k];
b[k] = b[i];
b[i] = xp;
for(int j=0; j<degree; j++){
xp = G[k][j];
G[k][j] = G[i][j];
G[i][j] = xp;
}
}
// Convert matrix to upper triangular form
for(int j=i+1; j<degree; j++){
xp = G[j][i]/G[i][i];
b[j] -= xp * b[i];
for(int k=0; k<degree; k++){ G[j][k] -= xp*G[i][k]; }
}
}
// Use Gaussian elimination to solve equations and calculate initial guess
chi = zero;
r = phi;
for(int i=degree-1; i>=0; i--){
a[i] = 0.0;
for(int j=i+1; j<degree; j++){ a[i] += G[i][j] * a[j]; }
a[i] = (b[i]-a[i])/G[i][i];
chi += a[i]*v[i];
r -= a[i]*MdagMv[i];
}
RealD true_r(0.0);
ComplexD tmp;
for(int i=0; i<degree; i++){
tmp = -b[i];
for(int j=0; j<degree; j++){ tmp += G[i][j]*a[j]; }
tmp = std::conj(tmp)*tmp;
true_r += std::sqrt(tmp.real());
}
RealD error = std::sqrt(norm2(r)/norm2(phi));
std::cout << GridLogMessage << "ChronoForecast: |res|/|src| = " << error << std::endl;
return chi;
};
};
}
#endif #endif

View File

@ -1,129 +0,0 @@
#ifndef GRID_JACOBIPOLYNOMIAL_H
#define GRID_JACOBIPOLYNOMIAL_H
#include <Grid/algorithms/LinearOperator.h>
NAMESPACE_BEGIN(Grid);
template<class Field>
class JacobiPolynomial : public OperatorFunction<Field> {
private:
using OperatorFunction<Field>::operator();
int order;
RealD hi;
RealD lo;
RealD alpha;
RealD beta;
public:
void csv(std::ostream &out){
csv(out,lo,hi);
}
void csv(std::ostream &out,RealD llo,RealD hhi){
RealD diff = hhi-llo;
RealD delta = diff*1.0e-5;
for (RealD x=llo-delta; x<=hhi; x+=delta) {
RealD f = approx(x);
out<< x<<" "<<f <<std::endl;
}
return;
}
JacobiPolynomial(){};
JacobiPolynomial(RealD _lo,RealD _hi,int _order,RealD _alpha, RealD _beta)
{
lo=_lo;
hi=_hi;
alpha=_alpha;
beta=_beta;
order=_order;
};
RealD approx(RealD x) // Convenience for plotting the approximation
{
RealD Tn;
RealD Tnm;
RealD Tnp;
RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
RealD T0=1.0;
RealD T1=(alpha-beta)*0.5+(alpha+beta+2.0)*0.5*y;
Tn =T1;
Tnm=T0;
for(int n=2;n<=order;n++){
RealD cnp = 2.0*n*(n+alpha+beta)*(2.0*n-2.0+alpha+beta);
RealD cny = (2.0*n-2.0+alpha+beta)*(2.0*n-1.0+alpha+beta)*(2.0*n+alpha+beta);
RealD cn1 = (2.0*n+alpha+beta-1.0)*(alpha*alpha-beta*beta);
RealD cnm = - 2.0*(n+alpha-1.0)*(n+beta-1.0)*(2.0*n+alpha+beta);
Tnp= ( cny * y *Tn + cn1 * Tn + cnm * Tnm )/ cnp;
Tnm=Tn;
Tn =Tnp;
}
return Tnp;
};
// Implement the required interface
void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
GridBase *grid=in.Grid();
int vol=grid->gSites();
Field T0(grid);
Field T1(grid);
Field T2(grid);
Field y(grid);
Field *Tnm = &T0;
Field *Tn = &T1;
Field *Tnp = &T2;
// RealD T0=1.0;
T0=in;
// RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
// = x * 2/(hi-lo) - (hi+lo)/(hi-lo)
Linop.HermOp(T0,y);
RealD xscale = 2.0/(hi-lo);
RealD mscale = -(hi+lo)/(hi-lo);
Linop.HermOp(T0,y);
y=y*xscale+in*mscale;
// RealD T1=(alpha-beta)*0.5+(alpha+beta+2.0)*0.5*y;
RealD halfAmB = (alpha-beta)*0.5;
RealD halfApBp2= (alpha+beta+2.0)*0.5;
T1 = halfAmB * in + halfApBp2*y;
for(int n=2;n<=order;n++){
Linop.HermOp(*Tn,y);
y=xscale*y+mscale*(*Tn);
RealD cnp = 2.0*n*(n+alpha+beta)*(2.0*n-2.0+alpha+beta);
RealD cny = (2.0*n-2.0+alpha+beta)*(2.0*n-1.0+alpha+beta)*(2.0*n+alpha+beta);
RealD cn1 = (2.0*n+alpha+beta-1.0)*(alpha*alpha-beta*beta);
RealD cnm = - 2.0*(n+alpha-1.0)*(n+beta-1.0)*(2.0*n+alpha+beta);
// Tnp= ( cny * y *Tn + cn1 * Tn + cnm * Tnm )/ cnp;
cny=cny/cnp;
cn1=cn1/cnp;
cn1=cn1/cnp;
cnm=cnm/cnp;
*Tnp=cny*y + cn1 *(*Tn) + cnm * (*Tnm);
// Cycle pointers to avoid copies
Field *swizzle = Tnm;
Tnm =Tn;
Tn =Tnp;
Tnp =swizzle;
}
out=*Tnp;
}
};
NAMESPACE_END(Grid);
#endif

View File

@ -27,8 +27,7 @@ Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
/* END LEGAL */ /* END LEGAL */
#include <Grid/GridCore.h> #include <Grid/GridCore.h>
NAMESPACE_BEGIN(Grid); namespace Grid {
double MultiShiftFunction::approx(double x) double MultiShiftFunction::approx(double x)
{ {
double a = norm; double a = norm;
@ -54,4 +53,4 @@ void MultiShiftFunction::csv(std::ostream &out)
} }
return; return;
} }
NAMESPACE_END(Grid); }

View File

@ -29,7 +29,7 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
#ifndef MULTI_SHIFT_FUNCTION #ifndef MULTI_SHIFT_FUNCTION
#define MULTI_SHIFT_FUNCTION #define MULTI_SHIFT_FUNCTION
NAMESPACE_BEGIN(Grid); namespace Grid {
class MultiShiftFunction { class MultiShiftFunction {
public: public:
@ -40,7 +40,7 @@ public:
RealD norm; RealD norm;
RealD lo,hi; RealD lo,hi;
MultiShiftFunction(int n,RealD _lo,RealD _hi): poles(n), residues(n), tolerances(n), lo(_lo), hi(_hi) {;}; MultiShiftFunction(int n,RealD _lo,RealD _hi): poles(n), residues(n), lo(_lo), hi(_hi) {;};
RealD approx(RealD x); RealD approx(RealD x);
void csv(std::ostream &out); void csv(std::ostream &out);
void gnuplot(std::ostream &out); void gnuplot(std::ostream &out);
@ -63,5 +63,5 @@ public:
} }
}; };
NAMESPACE_END(Grid); }
#endif #endif

View File

@ -298,7 +298,7 @@ void AlgRemez::stpini(bigfloat *step) {
// Search for error maxima and minima // Search for error maxima and minima
void AlgRemez::search(bigfloat *step) { void AlgRemez::search(bigfloat *step) {
bigfloat a, q, xm, ym, xn, yn, xx0, xx1; bigfloat a, q, xm, ym, xn, yn, xx0, xx1;
int i, meq, emsign, ensign, steps; int i, j, meq, emsign, ensign, steps;
meq = neq + 1; meq = neq + 1;
bigfloat *yy = new bigfloat[meq]; bigfloat *yy = new bigfloat[meq];
@ -306,6 +306,7 @@ void AlgRemez::search(bigfloat *step) {
bigfloat eclose = 1.0e30; bigfloat eclose = 1.0e30;
bigfloat farther = 0l; bigfloat farther = 0l;
j = 1;
xx0 = apstrt; xx0 = apstrt;
for (i = 0; i < meq; i++) { for (i = 0; i < meq; i++) {

View File

@ -1,473 +0,0 @@
#include<math.h>
#include<stdio.h>
#include<stdlib.h>
#include<string>
#include<iostream>
#include<iomanip>
#include<cassert>
#include<Grid/algorithms/approx/RemezGeneral.h>
// Constructor
AlgRemezGeneral::AlgRemezGeneral(double lower, double upper, long precision,
bigfloat (*f)(bigfloat x, void *data), void *data): f(f),
data(data),
prec(precision),
apstrt(lower), apend(upper), apwidt(upper - lower),
n(0), d(0), pow_n(0), pow_d(0)
{
bigfloat::setDefaultPrecision(prec);
std::cout<<"Approximation bounds are ["<<apstrt<<","<<apend<<"]\n";
std::cout<<"Precision of arithmetic is "<<precision<<std::endl;
}
//Determine the properties of the numerator and denominator polynomials
void AlgRemezGeneral::setupPolyProperties(int num_degree, int den_degree, PolyType num_type_in, PolyType den_type_in){
pow_n = num_degree;
pow_d = den_degree;
if(pow_n % 2 == 0 && num_type_in == PolyType::Odd) assert(0);
if(pow_n % 2 == 1 && num_type_in == PolyType::Even) assert(0);
if(pow_d % 2 == 0 && den_type_in == PolyType::Odd) assert(0);
if(pow_d % 2 == 1 && den_type_in == PolyType::Even) assert(0);
num_type = num_type_in;
den_type = den_type_in;
num_pows.resize(pow_n+1);
den_pows.resize(pow_d+1);
int n_in = 0;
bool odd = num_type == PolyType::Full || num_type == PolyType::Odd;
bool even = num_type == PolyType::Full || num_type == PolyType::Even;
for(int i=0;i<=pow_n;i++){
num_pows[i] = -1;
if(i % 2 == 0 && even) num_pows[i] = n_in++;
if(i % 2 == 1 && odd) num_pows[i] = n_in++;
}
std::cout << n_in << " terms in numerator" << std::endl;
--n_in; //power is 1 less than the number of terms, eg pow=1 a x^1 + b x^0
int d_in = 0;
odd = den_type == PolyType::Full || den_type == PolyType::Odd;
even = den_type == PolyType::Full || den_type == PolyType::Even;
for(int i=0;i<=pow_d;i++){
den_pows[i] = -1;
if(i % 2 == 0 && even) den_pows[i] = d_in++;
if(i % 2 == 1 && odd) den_pows[i] = d_in++;
}
std::cout << d_in << " terms in denominator" << std::endl;
--d_in;
n = n_in;
d = d_in;
}
//Setup algorithm
void AlgRemezGeneral::reinitializeAlgorithm(){
spread = 1.0e37;
iter = 0;
neq = n + d + 1; //not +2 because highest-power term in denominator is fixed to 1
param.resize(neq);
yy.resize(neq+1);
//Initialize linear equation temporaries
A.resize(neq*neq);
B.resize(neq);
IPS.resize(neq);
//Initialize maximum and minimum errors
xx.resize(neq+2);
mm.resize(neq+1);
initialGuess();
//Initialize search steps
step.resize(neq+1);
stpini();
}
double AlgRemezGeneral::generateApprox(const int num_degree, const int den_degree,
const PolyType num_type_in, const PolyType den_type_in,
const double _tolerance, const int report_freq){
//Setup the properties of the polynomial
setupPolyProperties(num_degree, den_degree, num_type_in, den_type_in);
//Setup the algorithm
reinitializeAlgorithm();
bigfloat tolerance = _tolerance;
//Iterate until convergance
while (spread > tolerance) {
if (iter++ % report_freq==0)
std::cout<<"Iteration " <<iter-1<<" spread "<<(double)spread<<" delta "<<(double)delta << std::endl;
equations();
if (delta < tolerance) {
std::cout<<"Iteration " << iter-1 << " delta too small (" << delta << "<" << tolerance << "), try increasing precision\n";
assert(0);
};
assert( delta>= tolerance );
search();
}
int sign;
double error = (double)getErr(mm[0],&sign);
std::cout<<"Converged at "<<iter<<" iterations; error = "<<error<<std::endl;
// Return the maximum error in the approximation
return error;
}
// Initial values of maximal and minimal errors
void AlgRemezGeneral::initialGuess(){
// Supply initial guesses for solution points
long ncheb = neq; // Degree of Chebyshev error estimate
// Find ncheb+1 extrema of Chebyshev polynomial
bigfloat a = ncheb;
bigfloat r;
mm[0] = apstrt;
for (long i = 1; i < ncheb; i++) {
r = 0.5 * (1 - cos((M_PI * i)/(double) a));
//r *= sqrt_bf(r);
r = (exp((double)r)-1.0)/(exp(1.0)-1.0);
mm[i] = apstrt + r * apwidt;
}
mm[ncheb] = apend;
a = 2.0 * ncheb;
for (long i = 0; i <= ncheb; i++) {
r = 0.5 * (1 - cos(M_PI * (2*i+1)/(double) a));
//r *= sqrt_bf(r); // Squeeze to low end of interval
r = (exp((double)r)-1.0)/(exp(1.0)-1.0);
xx[i] = apstrt + r * apwidt;
}
}
// Initialise step sizes
void AlgRemezGeneral::stpini(){
xx[neq+1] = apend;
delta = 0.25;
step[0] = xx[0] - apstrt;
for (int i = 1; i < neq; i++) step[i] = xx[i] - xx[i-1];
step[neq] = step[neq-1];
}
// Search for error maxima and minima
void AlgRemezGeneral::search(){
bigfloat a, q, xm, ym, xn, yn, xx1;
int emsign, ensign, steps;
int meq = neq + 1;
bigfloat eclose = 1.0e30;
bigfloat farther = 0l;
bigfloat xx0 = apstrt;
for (int i = 0; i < meq; i++) {
steps = 0;
xx1 = xx[i]; // Next zero
if (i == meq-1) xx1 = apend;
xm = mm[i];
ym = getErr(xm,&emsign);
q = step[i];
xn = xm + q;
if (xn < xx0 || xn >= xx1) { // Cannot skip over adjacent boundaries
q = -q;
xn = xm;
yn = ym;
ensign = emsign;
} else {
yn = getErr(xn,&ensign);
if (yn < ym) {
q = -q;
xn = xm;
yn = ym;
ensign = emsign;
}
}
while(yn >= ym) { // March until error becomes smaller.
if (++steps > 10)
break;
ym = yn;
xm = xn;
emsign = ensign;
a = xm + q;
if (a == xm || a <= xx0 || a >= xx1)
break;// Must not skip over the zeros either side.
xn = a;
yn = getErr(xn,&ensign);
}
mm[i] = xm; // Position of maximum
yy[i] = ym; // Value of maximum
if (eclose > ym) eclose = ym;
if (farther < ym) farther = ym;
xx0 = xx1; // Walk to next zero.
} // end of search loop
q = (farther - eclose); // Decrease step size if error spread increased
if (eclose != 0.0) q /= eclose; // Relative error spread
if (q >= spread)
delta *= 0.5; // Spread is increasing; decrease step size
spread = q;
for (int i = 0; i < neq; i++) {
q = yy[i+1];
if (q != 0.0) q = yy[i] / q - (bigfloat)1l;
else q = 0.0625;
if (q > (bigfloat)0.25) q = 0.25;
q *= mm[i+1] - mm[i];
step[i] = q * delta;
}
step[neq] = step[neq-1];
for (int i = 0; i < neq; i++) { // Insert new locations for the zeros.
xm = xx[i] - step[i];
if (xm <= apstrt)
continue;
if (xm >= apend)
continue;
if (xm <= mm[i])
xm = (bigfloat)0.5 * (mm[i] + xx[i]);
if (xm >= mm[i+1])
xm = (bigfloat)0.5 * (mm[i+1] + xx[i]);
xx[i] = xm;
}
}
// Solve the equations
void AlgRemezGeneral::equations(){
bigfloat x, y, z;
bigfloat *aa;
for (int i = 0; i < neq; i++) { // set up the equations for solution by simq()
int ip = neq * i; // offset to 1st element of this row of matrix
x = xx[i]; // the guess for this row
y = func(x); // right-hand-side vector
z = (bigfloat)1l;
aa = A.data()+ip;
int t = 0;
for (int j = 0; j <= pow_n; j++) {
if(num_pows[j] != -1){ *aa++ = z; t++; }
z *= x;
}
assert(t == n+1);
z = (bigfloat)1l;
t = 0;
for (int j = 0; j < pow_d; j++) {
if(den_pows[j] != -1){ *aa++ = -y * z; t++; }
z *= x;
}
assert(t == d);
B[i] = y * z; // Right hand side vector
}
// Solve the simultaneous linear equations.
if (simq()){
std::cout<<"simq failed\n";
exit(0);
}
}
// Evaluate the rational form P(x)/Q(x) using coefficients
// from the solution vector param
bigfloat AlgRemezGeneral::approx(const bigfloat x) const{
// Work backwards toward the constant term.
int c = n;
bigfloat yn = param[c--]; // Highest order numerator coefficient
for (int i = pow_n-1; i >= 0; i--) yn = x * yn + (num_pows[i] != -1 ? param[c--] : bigfloat(0l));
c = n+d;
bigfloat yd = 1l; //Highest degree coefficient is 1.0
for (int i = pow_d-1; i >= 0; i--) yd = x * yd + (den_pows[i] != -1 ? param[c--] : bigfloat(0l));
return(yn/yd);
}
// Compute size and sign of the approximation error at x
bigfloat AlgRemezGeneral::getErr(bigfloat x, int *sign) const{
bigfloat f = func(x);
bigfloat e = approx(x) - f;
if (f != 0) e /= f;
if (e < (bigfloat)0.0) {
*sign = -1;
e = -e;
}
else *sign = 1;
return(e);
}
// Solve the system AX=B
int AlgRemezGeneral::simq(){
int ip, ipj, ipk, ipn;
int idxpiv;
int kp, kp1, kpk, kpn;
int nip, nkp;
bigfloat em, q, rownrm, big, size, pivot, sum;
bigfloat *aa;
bigfloat *X = param.data();
int n = neq;
int nm1 = n - 1;
// Initialize IPS and X
int ij = 0;
for (int i = 0; i < n; i++) {
IPS[i] = i;
rownrm = 0.0;
for(int j = 0; j < n; j++) {
q = abs_bf(A[ij]);
if(rownrm < q) rownrm = q;
++ij;
}
if (rownrm == (bigfloat)0l) {
std::cout<<"simq rownrm=0\n";
return(1);
}
X[i] = (bigfloat)1.0 / rownrm;
}
for (int k = 0; k < nm1; k++) {
big = 0.0;
idxpiv = 0;
for (int i = k; i < n; i++) {
ip = IPS[i];
ipk = n*ip + k;
size = abs_bf(A[ipk]) * X[ip];
if (size > big) {
big = size;
idxpiv = i;
}
}
if (big == (bigfloat)0l) {
std::cout<<"simq big=0\n";
return(2);
}
if (idxpiv != k) {
int j = IPS[k];
IPS[k] = IPS[idxpiv];
IPS[idxpiv] = j;
}
kp = IPS[k];
kpk = n*kp + k;
pivot = A[kpk];
kp1 = k+1;
for (int i = kp1; i < n; i++) {
ip = IPS[i];
ipk = n*ip + k;
em = -A[ipk] / pivot;
A[ipk] = -em;
nip = n*ip;
nkp = n*kp;
aa = A.data()+nkp+kp1;
for (int j = kp1; j < n; j++) {
ipj = nip + j;
A[ipj] = A[ipj] + em * *aa++;
}
}
}
kpn = n * IPS[n-1] + n - 1; // last element of IPS[n] th row
if (A[kpn] == (bigfloat)0l) {
std::cout<<"simq A[kpn]=0\n";
return(3);
}
ip = IPS[0];
X[0] = B[ip];
for (int i = 1; i < n; i++) {
ip = IPS[i];
ipj = n * ip;
sum = 0.0;
for (int j = 0; j < i; j++) {
sum += A[ipj] * X[j];
++ipj;
}
X[i] = B[ip] - sum;
}
ipn = n * IPS[n-1] + n - 1;
X[n-1] = X[n-1] / A[ipn];
for (int iback = 1; iback < n; iback++) {
//i goes (n-1),...,1
int i = nm1 - iback;
ip = IPS[i];
nip = n*ip;
sum = 0.0;
aa = A.data()+nip+i+1;
for (int j= i + 1; j < n; j++)
sum += *aa++ * X[j];
X[i] = (X[i] - sum) / A[nip+i];
}
return(0);
}
void AlgRemezGeneral::csv(std::ostream & os) const{
os << "Numerator" << std::endl;
for(int i=0;i<=pow_n;i++){
os << getCoeffNum(i) << "*x^" << i;
if(i!=pow_n) os << " + ";
}
os << std::endl;
os << "Denominator" << std::endl;
for(int i=0;i<=pow_d;i++){
os << getCoeffDen(i) << "*x^" << i;
if(i!=pow_d) os << " + ";
}
os << std::endl;
//For a true minimax solution the errors should all be equal and the signs should oscillate +-+-+- etc
int sign;
os << "Errors at maxima: coordinate, error, (sign)" << std::endl;
for(int i=0;i<neq+1;i++){
os << mm[i] << " " << getErr(mm[i],&sign) << " (" << sign << ")" << std::endl;
}
os << "Scan over range:" << std::endl;
int npt = 60;
bigfloat dlt = (apend - apstrt)/bigfloat(npt-1);
for (bigfloat x=apstrt; x<=apend; x = x + dlt) {
double f = evaluateFunc(x);
double r = evaluateApprox(x);
os<< x<<","<<r<<","<<f<<","<<r-f<<std::endl;
}
return;
}

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/*
C.Kelly Jan 2020 based on implementation by M. Clark May 2005
AlgRemezGeneral is an implementation of the Remez algorithm for approximating an arbitrary function by a rational polynomial
It includes optional restriction to odd/even polynomials for the numerator and/or denominator
*/
#ifndef INCLUDED_ALG_REMEZ_GENERAL_H
#define INCLUDED_ALG_REMEZ_GENERAL_H
#include <stddef.h>
#include <Grid/GridStd.h>
#ifdef HAVE_LIBGMP
#include "bigfloat.h"
#else
#include "bigfloat_double.h"
#endif
class AlgRemezGeneral{
public:
enum PolyType { Even, Odd, Full };
private:
// In GSL-style, pass the function as a function pointer. Any data required to evaluate the function is passed in as a void pointer
bigfloat (*f)(bigfloat x, void *data);
void *data;
// The approximation parameters
std::vector<bigfloat> param;
bigfloat norm;
// The number of non-zero terms in the numerator and denominator
int n, d;
// The numerator and denominator degree (i.e. the largest power)
int pow_n, pow_d;
// Specify if the numerator and/or denominator are odd/even polynomials
PolyType num_type;
PolyType den_type;
std::vector<int> num_pows; //contains the mapping, with -1 if not present
std::vector<int> den_pows;
// The bounds of the approximation
bigfloat apstrt, apwidt, apend;
// Variables used to calculate the approximation
int nd1, iter;
std::vector<bigfloat> xx;
std::vector<bigfloat> mm;
std::vector<bigfloat> step;
bigfloat delta, spread;
// Variables used in search
std::vector<bigfloat> yy;
// Variables used in solving linear equations
std::vector<bigfloat> A;
std::vector<bigfloat> B;
std::vector<int> IPS;
// The number of equations we must solve at each iteration (n+d+1)
int neq;
// The precision of the GNU MP library
long prec;
// Initialize member variables associated with the polynomial's properties
void setupPolyProperties(int num_degree, int den_degree, PolyType num_type_in, PolyType den_type_in);
// Initial values of maximal and minmal errors
void initialGuess();
// Initialise step sizes
void stpini();
// Initialize the algorithm
void reinitializeAlgorithm();
// Solve the equations
void equations();
// Search for error maxima and minima
void search();
// Calculate function required for the approximation
inline bigfloat func(bigfloat x) const{
return f(x, data);
}
// Compute size and sign of the approximation error at x
bigfloat getErr(bigfloat x, int *sign) const;
// Solve the system AX=B where X = param
int simq();
// Evaluate the rational form P(x)/Q(x) using coefficients from the solution vector param
bigfloat approx(bigfloat x) const;
public:
AlgRemezGeneral(double lower, double upper, long prec,
bigfloat (*f)(bigfloat x, void *data), void *data);
inline int getDegree(void) const{
assert(n==d);
return n;
}
// Reset the bounds of the approximation
inline void setBounds(double lower, double upper) {
apstrt = lower;
apend = upper;
apwidt = apend - apstrt;
}
// Get the bounds of the approximation
inline void getBounds(double &lower, double &upper) const{
lower=(double)apstrt;
upper=(double)apend;
}
// Run the algorithm to generate the rational approximation
double generateApprox(int num_degree, int den_degree,
PolyType num_type, PolyType den_type,
const double tolerance = 1e-15, const int report_freq = 1000);
inline double generateApprox(int num_degree, int den_degree,
const double tolerance = 1e-15, const int report_freq = 1000){
return generateApprox(num_degree, den_degree, Full, Full, tolerance, report_freq);
}
// Evaluate the rational form P(x)/Q(x) using coefficients from the
// solution vector param
inline double evaluateApprox(double x) const{
return (double)approx((bigfloat)x);
}
// Evaluate the rational form Q(x)/P(x) using coefficients from the solution vector param
inline double evaluateInverseApprox(double x) const{
return 1.0/(double)approx((bigfloat)x);
}
// Calculate function required for the approximation
inline double evaluateFunc(double x) const{
return (double)func((bigfloat)x);
}
// Calculate inverse function required for the approximation
inline double evaluateInverseFunc(double x) const{
return 1.0/(double)func((bigfloat)x);
}
// Dump csv of function, approx and error
void csv(std::ostream &os = std::cout) const;
// Get the coefficient of the term x^i in the numerator
inline double getCoeffNum(const int i) const{
return num_pows[i] == -1 ? 0. : double(param[num_pows[i]]);
}
// Get the coefficient of the term x^i in the denominator
inline double getCoeffDen(const int i) const{
if(i == pow_d) return 1.0;
else return den_pows[i] == -1 ? 0. : double(param[den_pows[i]+n+1]);
}
};
#endif

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@ -1,183 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/approx/ZMobius.cc
Copyright (C) 2015
Author: Christopher Kelly <ckelly@phys.columbia.edu>
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 */
#include <Grid/algorithms/approx/ZMobius.h>
#include <Grid/algorithms/approx/RemezGeneral.h>
NAMESPACE_BEGIN(Grid);
NAMESPACE_BEGIN(Approx);
//Compute the tanh approximation
inline double epsilonMobius(const double x, const std::vector<ComplexD> &w){
int Ls = w.size();
ComplexD fxp = 1., fmp = 1.;
for(int i=0;i<Ls;i++){
fxp = fxp * ( w[i] + x );
fmp = fmp * ( w[i] - x );
}
return ((fxp - fmp)/(fxp + fmp)).real();
}
inline double epsilonMobius(const double x, const std::vector<RealD> &w){
int Ls = w.size();
double fxp = 1., fmp = 1.;
for(int i=0;i<Ls;i++){
fxp = fxp * ( w[i] + x );
fmp = fmp * ( w[i] - x );
}
return (fxp - fmp)/(fxp + fmp);
}
//Compute the tanh approximation in a form suitable for the Remez
bigfloat epsilonMobius(bigfloat x, void* data){
const std::vector<RealD> &omega = *( (std::vector<RealD> const*)data );
bigfloat fxp(1.0);
bigfloat fmp(1.0);
for(int i=0;i<omega.size();i++){
fxp = fxp * ( bigfloat(omega[i]) + x);
fmp = fmp * ( bigfloat(omega[i]) - x);
}
return (fxp - fmp)/(fxp + fmp);
}
//Compute the Zmobius Omega parameters suitable for eigenvalue range -lambda_bound <= lambda <= lambda_bound
//Note omega_i = 1/(b_i + c_i) where b_i and c_i are the Mobius parameters
void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out,
const std::vector<RealD> &omega_in, const int Ls_in,
const RealD lambda_bound){
assert(omega_in.size() == Ls_in);
omega_out.resize(Ls_out);
//Use the Remez algorithm to generate the appropriate rational polynomial
//For odd polynomial, to satisfy Haar condition must take either positive or negative half of range (cf https://arxiv.org/pdf/0803.0439.pdf page 6)
AlgRemezGeneral remez(0, lambda_bound, 64, &epsilonMobius, (void*)&omega_in);
remez.generateApprox(Ls_out-1, Ls_out,AlgRemezGeneral::Odd, AlgRemezGeneral::Even, 1e-15, 100);
remez.csv(std::cout);
//The rational approximation has the form [ f(x) - f(-x) ] / [ f(x) + f(-x) ] where f(x) = \Prod_{i=0}^{L_s-1} ( \omega_i + x )
//cf https://academiccommons.columbia.edu/doi/10.7916/D8T72HD7 pg 102
//omega_i are therefore the negative of the complex roots of f(x)
//We can find the roots by recognizing that the eigenvalues of a matrix A are the roots of the characteristic polynomial
// \rho(\lambda) = det( A - \lambda I ) where I is the unit matrix
//The matrix whose characteristic polynomial is an arbitrary monic polynomial a0 + a1 x + a2 x^2 + ... x^n is the companion matrix
// A = | 0 1 0 0 0 .... 0 |
// | 0 0 1 0 0 .... 0 |
// | : : : : : : |
// | 0 0 0 0 0 1
// | -a0 -a1 -a2 ... ... -an|
//Note the Remez defines the largest power to have unit coefficient
std::vector<RealD> coeffs(Ls_out+1);
for(int i=0;i<Ls_out+1;i+=2) coeffs[i] = coeffs[i] = remez.getCoeffDen(i); //even powers
for(int i=1;i<Ls_out+1;i+=2) coeffs[i] = coeffs[i] = remez.getCoeffNum(i); //odd powers
std::vector<std::complex<RealD> > roots(Ls_out);
//Form the companion matrix
Eigen::MatrixXd compn(Ls_out,Ls_out);
for(int i=0;i<Ls_out-1;i++) compn(i,0) = 0.;
compn(Ls_out - 1, 0) = -coeffs[0];
for(int j=1;j<Ls_out;j++){
for(int i=0;i<Ls_out-1;i++) compn(i,j) = i == j-1 ? 1. : 0.;
compn(Ls_out - 1, j) = -coeffs[j];
}
//Eigensolve
Eigen::EigenSolver<Eigen::MatrixXd> slv(compn, false);
const auto & ev = slv.eigenvalues();
for(int i=0;i<Ls_out;i++)
omega_out[i] = -ev(i);
//Sort ascending (smallest at start of vector!)
std::sort(omega_out.begin(), omega_out.end(),
[&](const ComplexD &a, const ComplexD &b){ return a.real() < b.real() || (a.real() == b.real() && a.imag() < b.imag()); });
//McGlynn thesis pg 122 suggest improved iteration counts if magnitude of omega diminishes towards the center of the 5th dimension
std::vector<ComplexD> omega_tmp = omega_out;
int s_low=0, s_high=Ls_out-1, ss=0;
for(int s_from = Ls_out-1; s_from >= 0; s_from--){ //loop from largest omega
int s_to;
if(ss % 2 == 0){
s_to = s_low++;
}else{
s_to = s_high--;
}
omega_out[s_to] = omega_tmp[s_from];
++ss;
}
std::cout << "Resulting omega_i:" << std::endl;
for(int i=0;i<Ls_out;i++)
std::cout << omega_out[i] << std::endl;
std::cout << "Test result matches the approximate polynomial found by the Remez" << std::endl;
std::cout << "<x> <remez approx> <poly approx> <diff poly approx remez approx> <exact> <diff poly approx exact>\n";
int npt = 60;
double dlt = lambda_bound/double(npt-1);
for (int i =0; i<npt; i++){
double x = i*dlt;
double r = remez.evaluateApprox(x);
double p = epsilonMobius(x, omega_out);
double e = epsilonMobius(x, omega_in);
std::cout << x<< " " << r << " " << p <<" " <<r-p << " " << e << " " << e-p << std::endl;
}
}
//mobius_param = b+c with b-c=1
void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound){
std::vector<RealD> omega_in(Ls_in, 1./mobius_param);
computeZmobiusOmega(omega_out, Ls_out, omega_in, Ls_in, lambda_bound);
}
//ZMobius class takes gamma_i = (b+c) omega_i as its input, where b, c are factored out
void computeZmobiusGamma(std::vector<ComplexD> &gamma_out,
const RealD mobius_param_out, const int Ls_out,
const RealD mobius_param_in, const int Ls_in,
const RealD lambda_bound){
computeZmobiusOmega(gamma_out, Ls_out, mobius_param_in, Ls_in, lambda_bound);
for(int i=0;i<Ls_out;i++) gamma_out[i] = gamma_out[i] * mobius_param_out;
}
//Assumes mobius_param_out == mobius_param_in
void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound){
computeZmobiusGamma(gamma_out, mobius_param, Ls_out, mobius_param, Ls_in, lambda_bound);
}
NAMESPACE_END(Approx);
NAMESPACE_END(Grid);

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@ -1,57 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/approx/ZMobius.h
Copyright (C) 2015
Author: Christopher Kelly <ckelly@phys.columbia.edu>
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 */
#ifndef GRID_ZMOBIUS_APPROX_H
#define GRID_ZMOBIUS_APPROX_H
#include <Grid/GridCore.h>
NAMESPACE_BEGIN(Grid);
NAMESPACE_BEGIN(Approx);
//Compute the Zmobius Omega parameters suitable for eigenvalue range -lambda_bound <= lambda <= lambda_bound
//Note omega_i = 1/(b_i + c_i) where b_i and c_i are the Mobius parameters
void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out,
const std::vector<RealD> &omega_in, const int Ls_in,
const RealD lambda_bound);
//mobius_param = b+c with b-c=1
void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound);
//ZMobius class takes gamma_i = (b+c) omega_i as its input, where b, c are factored out
void computeZmobiusGamma(std::vector<ComplexD> &gamma_out,
const RealD mobius_param_out, const int Ls_out,
const RealD mobius_param_in, const int Ls_in,
const RealD lambda_bound);
//Assumes mobius_param_out == mobius_param_in
void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound);
NAMESPACE_END(Approx);
NAMESPACE_END(Grid);
#endif

View File

@ -58,8 +58,8 @@
/* Compute the partial fraction expansion coefficients (alpha) from the /* Compute the partial fraction expansion coefficients (alpha) from the
* factored form */ * factored form */
NAMESPACE_BEGIN(Grid); namespace Grid {
NAMESPACE_BEGIN(Approx); namespace Approx {
static void construct_partfrac(izd *z) { static void construct_partfrac(izd *z) {
int dn = z -> dn, dd = z -> dd, type = z -> type; int dn = z -> dn, dd = z -> dd, type = z -> type;
@ -293,7 +293,7 @@ static void sncndnFK(INTERNAL_PRECISION u, INTERNAL_PRECISION k,
* Set type = 0 for the Zolotarev approximation, which is zero at x = 0, and * Set type = 0 for the Zolotarev approximation, which is zero at x = 0, and
* type = 1 for the approximation which is infinite at x = 0. */ * type = 1 for the approximation which is infinite at x = 0. */
zolotarev_data* zolotarev(ZOLO_PRECISION epsilon, int n, int type) { zolotarev_data* zolotarev(PRECISION epsilon, int n, int type) {
INTERNAL_PRECISION A, c, cp, kp, ksq, sn, cn, dn, Kp, Kj, z, z0, t, M, F, INTERNAL_PRECISION A, c, cp, kp, ksq, sn, cn, dn, Kp, Kj, z, z0, t, M, F,
l, invlambda, xi, xisq, *tv, s, opl; l, invlambda, xi, xisq, *tv, s, opl;
int m, czero, ts; int m, czero, ts;
@ -375,12 +375,12 @@ zolotarev_data* zolotarev(ZOLO_PRECISION epsilon, int n, int type) {
construct_partfrac(d); construct_partfrac(d);
construct_contfrac(d); construct_contfrac(d);
/* Converting everything to ZOLO_PRECISION for external use only */ /* Converting everything to PRECISION for external use only */
zd = (zolotarev_data*) malloc(sizeof(zolotarev_data)); zd = (zolotarev_data*) malloc(sizeof(zolotarev_data));
zd -> A = (ZOLO_PRECISION) d -> A; zd -> A = (PRECISION) d -> A;
zd -> Delta = (ZOLO_PRECISION) d -> Delta; zd -> Delta = (PRECISION) d -> Delta;
zd -> epsilon = (ZOLO_PRECISION) d -> epsilon; zd -> epsilon = (PRECISION) d -> epsilon;
zd -> n = d -> n; zd -> n = d -> n;
zd -> type = d -> type; zd -> type = d -> type;
zd -> dn = d -> dn; zd -> dn = d -> dn;
@ -390,24 +390,24 @@ zolotarev_data* zolotarev(ZOLO_PRECISION epsilon, int n, int type) {
zd -> deg_num = d -> deg_num; zd -> deg_num = d -> deg_num;
zd -> deg_denom = d -> deg_denom; zd -> deg_denom = d -> deg_denom;
zd -> a = (ZOLO_PRECISION*) malloc(zd -> dn * sizeof(ZOLO_PRECISION)); zd -> a = (PRECISION*) malloc(zd -> dn * sizeof(PRECISION));
for (m = 0; m < zd -> dn; m++) zd -> a[m] = (ZOLO_PRECISION) d -> a[m]; for (m = 0; m < zd -> dn; m++) zd -> a[m] = (PRECISION) d -> a[m];
free(d -> a); free(d -> a);
zd -> ap = (ZOLO_PRECISION*) malloc(zd -> dd * sizeof(ZOLO_PRECISION)); zd -> ap = (PRECISION*) malloc(zd -> dd * sizeof(PRECISION));
for (m = 0; m < zd -> dd; m++) zd -> ap[m] = (ZOLO_PRECISION) d -> ap[m]; for (m = 0; m < zd -> dd; m++) zd -> ap[m] = (PRECISION) d -> ap[m];
free(d -> ap); free(d -> ap);
zd -> alpha = (ZOLO_PRECISION*) malloc(zd -> da * sizeof(ZOLO_PRECISION)); zd -> alpha = (PRECISION*) malloc(zd -> da * sizeof(PRECISION));
for (m = 0; m < zd -> da; m++) zd -> alpha[m] = (ZOLO_PRECISION) d -> alpha[m]; for (m = 0; m < zd -> da; m++) zd -> alpha[m] = (PRECISION) d -> alpha[m];
free(d -> alpha); free(d -> alpha);
zd -> beta = (ZOLO_PRECISION*) malloc(zd -> db * sizeof(ZOLO_PRECISION)); zd -> beta = (PRECISION*) malloc(zd -> db * sizeof(PRECISION));
for (m = 0; m < zd -> db; m++) zd -> beta[m] = (ZOLO_PRECISION) d -> beta[m]; for (m = 0; m < zd -> db; m++) zd -> beta[m] = (PRECISION) d -> beta[m];
free(d -> beta); free(d -> beta);
zd -> gamma = (ZOLO_PRECISION*) malloc(zd -> n * sizeof(ZOLO_PRECISION)); zd -> gamma = (PRECISION*) malloc(zd -> n * sizeof(PRECISION));
for (m = 0; m < zd -> n; m++) zd -> gamma[m] = (ZOLO_PRECISION) d -> gamma[m]; for (m = 0; m < zd -> n; m++) zd -> gamma[m] = (PRECISION) d -> gamma[m];
free(d -> gamma); free(d -> gamma);
free(d); free(d);
@ -426,7 +426,7 @@ void zolotarev_free(zolotarev_data *zdata)
} }
zolotarev_data* higham(ZOLO_PRECISION epsilon, int n) { zolotarev_data* higham(PRECISION epsilon, int n) {
INTERNAL_PRECISION A, M, c, cp, z, z0, t, epssq; INTERNAL_PRECISION A, M, c, cp, z, z0, t, epssq;
int m, czero; int m, czero;
zolotarev_data *zd; zolotarev_data *zd;
@ -481,9 +481,9 @@ zolotarev_data* higham(ZOLO_PRECISION epsilon, int n) {
/* Converting everything to PRECISION for external use only */ /* Converting everything to PRECISION for external use only */
zd = (zolotarev_data*) malloc(sizeof(zolotarev_data)); zd = (zolotarev_data*) malloc(sizeof(zolotarev_data));
zd -> A = (ZOLO_PRECISION) d -> A; zd -> A = (PRECISION) d -> A;
zd -> Delta = (ZOLO_PRECISION) d -> Delta; zd -> Delta = (PRECISION) d -> Delta;
zd -> epsilon = (ZOLO_PRECISION) d -> epsilon; zd -> epsilon = (PRECISION) d -> epsilon;
zd -> n = d -> n; zd -> n = d -> n;
zd -> type = d -> type; zd -> type = d -> type;
zd -> dn = d -> dn; zd -> dn = d -> dn;
@ -493,47 +493,45 @@ zolotarev_data* higham(ZOLO_PRECISION epsilon, int n) {
zd -> deg_num = d -> deg_num; zd -> deg_num = d -> deg_num;
zd -> deg_denom = d -> deg_denom; zd -> deg_denom = d -> deg_denom;
zd -> a = (ZOLO_PRECISION*) malloc(zd -> dn * sizeof(ZOLO_PRECISION)); zd -> a = (PRECISION*) malloc(zd -> dn * sizeof(PRECISION));
for (m = 0; m < zd -> dn; m++) zd -> a[m] = (ZOLO_PRECISION) d -> a[m]; for (m = 0; m < zd -> dn; m++) zd -> a[m] = (PRECISION) d -> a[m];
free(d -> a); free(d -> a);
zd -> ap = (ZOLO_PRECISION*) malloc(zd -> dd * sizeof(ZOLO_PRECISION)); zd -> ap = (PRECISION*) malloc(zd -> dd * sizeof(PRECISION));
for (m = 0; m < zd -> dd; m++) zd -> ap[m] = (ZOLO_PRECISION) d -> ap[m]; for (m = 0; m < zd -> dd; m++) zd -> ap[m] = (PRECISION) d -> ap[m];
free(d -> ap); free(d -> ap);
zd -> alpha = (ZOLO_PRECISION*) malloc(zd -> da * sizeof(ZOLO_PRECISION)); zd -> alpha = (PRECISION*) malloc(zd -> da * sizeof(PRECISION));
for (m = 0; m < zd -> da; m++) zd -> alpha[m] = (ZOLO_PRECISION) d -> alpha[m]; for (m = 0; m < zd -> da; m++) zd -> alpha[m] = (PRECISION) d -> alpha[m];
free(d -> alpha); free(d -> alpha);
zd -> beta = (ZOLO_PRECISION*) malloc(zd -> db * sizeof(ZOLO_PRECISION)); zd -> beta = (PRECISION*) malloc(zd -> db * sizeof(PRECISION));
for (m = 0; m < zd -> db; m++) zd -> beta[m] = (ZOLO_PRECISION) d -> beta[m]; for (m = 0; m < zd -> db; m++) zd -> beta[m] = (PRECISION) d -> beta[m];
free(d -> beta); free(d -> beta);
zd -> gamma = (ZOLO_PRECISION*) malloc(zd -> n * sizeof(ZOLO_PRECISION)); zd -> gamma = (PRECISION*) malloc(zd -> n * sizeof(PRECISION));
for (m = 0; m < zd -> n; m++) zd -> gamma[m] = (ZOLO_PRECISION) d -> gamma[m]; for (m = 0; m < zd -> n; m++) zd -> gamma[m] = (PRECISION) d -> gamma[m];
free(d -> gamma); free(d -> gamma);
free(d); free(d);
return zd; return zd;
} }
}}
NAMESPACE_END(Approx);
NAMESPACE_END(Grid);
#ifdef TEST #ifdef TEST
#undef ZERO #undef ZERO
#define ZERO ((ZOLO_PRECISION) 0) #define ZERO ((PRECISION) 0)
#undef ONE #undef ONE
#define ONE ((ZOLO_PRECISION) 1) #define ONE ((PRECISION) 1)
#undef TWO #undef TWO
#define TWO ((ZOLO_PRECISION) 2) #define TWO ((PRECISION) 2)
/* Evaluate the rational approximation R(x) using the factored form */ /* Evaluate the rational approximation R(x) using the factored form */
static ZOLO_PRECISION zolotarev_eval(ZOLO_PRECISION x, zolotarev_data* rdata) { static PRECISION zolotarev_eval(PRECISION x, zolotarev_data* rdata) {
int m; int m;
ZOLO_PRECISION R; PRECISION R;
if (rdata -> type == 0) { if (rdata -> type == 0) {
R = rdata -> A * x; R = rdata -> A * x;
@ -551,9 +549,9 @@ static ZOLO_PRECISION zolotarev_eval(ZOLO_PRECISION x, zolotarev_data* rdata) {
/* Evaluate the rational approximation R(x) using the partial fraction form */ /* Evaluate the rational approximation R(x) using the partial fraction form */
static ZOLO_PRECISION zolotarev_partfrac_eval(ZOLO_PRECISION x, zolotarev_data* rdata) { static PRECISION zolotarev_partfrac_eval(PRECISION x, zolotarev_data* rdata) {
int m; int m;
ZOLO_PRECISION R = rdata -> alpha[rdata -> da - 1]; PRECISION R = rdata -> alpha[rdata -> da - 1];
for (m = 0; m < rdata -> dd; m++) for (m = 0; m < rdata -> dd; m++)
R += rdata -> alpha[m] / (x * x - rdata -> ap[m]); R += rdata -> alpha[m] / (x * x - rdata -> ap[m]);
if (rdata -> type == 1) R += rdata -> alpha[rdata -> dd] / (x * x); if (rdata -> type == 1) R += rdata -> alpha[rdata -> dd] / (x * x);
@ -568,18 +566,18 @@ static ZOLO_PRECISION zolotarev_partfrac_eval(ZOLO_PRECISION x, zolotarev_data*
* non-signalling overflow this will work correctly since 1/(1/0) = 1/INF = 0, * non-signalling overflow this will work correctly since 1/(1/0) = 1/INF = 0,
* but with signalling overflow you will get an error message. */ * but with signalling overflow you will get an error message. */
static ZOLO_PRECISION zolotarev_contfrac_eval(ZOLO_PRECISION x, zolotarev_data* rdata) { static PRECISION zolotarev_contfrac_eval(PRECISION x, zolotarev_data* rdata) {
int m; int m;
ZOLO_PRECISION R = rdata -> beta[0] * x; PRECISION R = rdata -> beta[0] * x;
for (m = 1; m < rdata -> db; m++) R = rdata -> beta[m] * x + ONE / R; for (m = 1; m < rdata -> db; m++) R = rdata -> beta[m] * x + ONE / R;
return R; return R;
} }
/* Evaluate the rational approximation R(x) using Cayley form */ /* Evaluate the rational approximation R(x) using Cayley form */
static ZOLO_PRECISION zolotarev_cayley_eval(ZOLO_PRECISION x, zolotarev_data* rdata) { static PRECISION zolotarev_cayley_eval(PRECISION x, zolotarev_data* rdata) {
int m; int m;
ZOLO_PRECISION T; PRECISION T;
T = rdata -> type == 0 ? ONE : -ONE; T = rdata -> type == 0 ? ONE : -ONE;
for (m = 0; m < rdata -> n; m++) for (m = 0; m < rdata -> n; m++)
@ -587,7 +585,6 @@ static ZOLO_PRECISION zolotarev_cayley_eval(ZOLO_PRECISION x, zolotarev_data* rd
return (ONE - T) / (ONE + T); return (ONE - T) / (ONE + T);
} }
/* Test program. Apart from printing out the parameters for R(x) it produces /* Test program. Apart from printing out the parameters for R(x) it produces
* the following data files for plotting (unless NPLOT is defined): * the following data files for plotting (unless NPLOT is defined):
* *
@ -607,7 +604,7 @@ int main(int argc, char** argv) {
int m, n, plotpts = 5000, type = 0; int m, n, plotpts = 5000, type = 0;
float eps, x, ypferr, ycferr, ycaylerr, maxypferr, maxycferr, maxycaylerr; float eps, x, ypferr, ycferr, ycaylerr, maxypferr, maxycferr, maxycaylerr;
zolotarev_data *rdata; zolotarev_data *rdata;
ZOLO_PRECISION y; PRECISION y;
FILE *plot_function, *plot_error, FILE *plot_function, *plot_error,
*plot_partfrac, *plot_contfrac, *plot_cayley; *plot_partfrac, *plot_contfrac, *plot_cayley;
@ -626,13 +623,13 @@ int main(int argc, char** argv) {
} }
rdata = type == 2 rdata = type == 2
? higham((ZOLO_PRECISION) eps, n) ? higham((PRECISION) eps, n)
: zolotarev((ZOLO_PRECISION) eps, n, type); : zolotarev((PRECISION) eps, n, type);
printf("Zolotarev Test: R(epsilon = %g, n = %d, type = %d)\n\t" printf("Zolotarev Test: R(epsilon = %g, n = %d, type = %d)\n\t"
STRINGIFY(VERSION) "\n\t" STRINGIFY(HVERSION) STRINGIFY(VERSION) "\n\t" STRINGIFY(HVERSION)
"\n\tINTERNAL_PRECISION = " STRINGIFY(INTERNAL_PRECISION) "\n\tINTERNAL_PRECISION = " STRINGIFY(INTERNAL_PRECISION)
"\tZOLO_PRECISION = " STRINGIFY(ZOLO_PRECISION) "\tPRECISION = " STRINGIFY(PRECISION)
"\n\n\tRational approximation of degree (%d,%d), %s at x = 0\n" "\n\n\tRational approximation of degree (%d,%d), %s at x = 0\n"
"\tDelta = %g (maximum error)\n\n" "\tDelta = %g (maximum error)\n\n"
"\tA = %g (overall factor)\n", "\tA = %g (overall factor)\n",
@ -681,15 +678,15 @@ int main(int argc, char** argv) {
x = 2.4 * (float) m / plotpts - 1.2; x = 2.4 * (float) m / plotpts - 1.2;
if (rdata -> type == 0 || fabs(x) * (float) plotpts > 1.0) { if (rdata -> type == 0 || fabs(x) * (float) plotpts > 1.0) {
/* skip x = 0 for type 1, as R(0) is singular */ /* skip x = 0 for type 1, as R(0) is singular */
y = zolotarev_eval((ZOLO_PRECISION) x, rdata); y = zolotarev_eval((PRECISION) x, rdata);
fprintf(plot_function, "%g %g\n", x, (float) y); fprintf(plot_function, "%g %g\n", x, (float) y);
fprintf(plot_error, "%g %g\n", fprintf(plot_error, "%g %g\n",
x, (float)((y - ((x > 0.0 ? ONE : -ONE))) / rdata -> Delta)); x, (float)((y - ((x > 0.0 ? ONE : -ONE))) / rdata -> Delta));
ypferr = (float)((zolotarev_partfrac_eval((ZOLO_PRECISION) x, rdata) - y) ypferr = (float)((zolotarev_partfrac_eval((PRECISION) x, rdata) - y)
/ rdata -> Delta); / rdata -> Delta);
ycferr = (float)((zolotarev_contfrac_eval((ZOLO_PRECISION) x, rdata) - y) ycferr = (float)((zolotarev_contfrac_eval((PRECISION) x, rdata) - y)
/ rdata -> Delta); / rdata -> Delta);
ycaylerr = (float)((zolotarev_cayley_eval((ZOLO_PRECISION) x, rdata) - y) ycaylerr = (float)((zolotarev_cayley_eval((PRECISION) x, rdata) - y)
/ rdata -> Delta); / rdata -> Delta);
if (fabs(x) < 1.0 && fabs(x) > rdata -> epsilon) { if (fabs(x) < 1.0 && fabs(x) > rdata -> epsilon) {
maxypferr = MAX(maxypferr, fabs(ypferr)); maxypferr = MAX(maxypferr, fabs(ypferr));
@ -726,5 +723,5 @@ int main(int argc, char** argv) {
return EXIT_SUCCESS; return EXIT_SUCCESS;
} }
#endif /* TEST */
#endif /* TEST */

View File

@ -1,18 +1,18 @@
/* -*- Mode: C; comment-column: 22; fill-column: 79; -*- */ /* -*- Mode: C; comment-column: 22; fill-column: 79; -*- */
#ifdef __cplusplus #ifdef __cplusplus
#include <Grid/Namespace.h> namespace Grid {
NAMESPACE_BEGIN(Grid); namespace Approx {
NAMESPACE_BEGIN(Approx);
#endif #endif
#define HVERSION Header Time-stamp: <14-OCT-2004 09:26:51.00 adk@MISSCONTRARY> #define HVERSION Header Time-stamp: <14-OCT-2004 09:26:51.00 adk@MISSCONTRARY>
#ifndef ZOLOTAREV_INTERNAL #ifndef ZOLOTAREV_INTERNAL
#ifndef ZOLO_PRECISION #ifndef PRECISION
#define ZOLO_PRECISION double #define PRECISION double
#endif #endif
#define ZPRECISION ZOLO_PRECISION #define ZPRECISION PRECISION
#define ZOLOTAREV_DATA zolotarev_data #define ZOLOTAREV_DATA zolotarev_data
#endif #endif
@ -77,13 +77,11 @@ typedef struct {
* zolotarev_data structure. The arguments must satisfy the constraints that * zolotarev_data structure. The arguments must satisfy the constraints that
* epsilon > 0, n > 0, and type = 0 or 1. */ * epsilon > 0, n > 0, and type = 0 or 1. */
ZOLOTAREV_DATA* higham(ZOLO_PRECISION epsilon, int n) ; ZOLOTAREV_DATA* higham(PRECISION epsilon, int n) ;
ZOLOTAREV_DATA* zolotarev(ZOLO_PRECISION epsilon, int n, int type); ZOLOTAREV_DATA* zolotarev(PRECISION epsilon, int n, int type);
void zolotarev_free(zolotarev_data *zdata); void zolotarev_free(zolotarev_data *zdata);
#endif #endif
#ifdef __cplusplus #ifdef __cplusplus
NAMESPACE_END(Approx); }}
NAMESPACE_END(Grid);
#endif #endif

View File

@ -10,12 +10,10 @@
#ifndef INCLUDED_BIGFLOAT_H #ifndef INCLUDED_BIGFLOAT_H
#define INCLUDED_BIGFLOAT_H #define INCLUDED_BIGFLOAT_H
#define __GMP_WITHIN_CONFIGURE
#include <gmp.h> #include <gmp.h>
#include <mpf2mpfr.h> #include <mpf2mpfr.h>
#include <mpfr.h> #include <mpfr.h>
#undef __GMP_WITHIN_CONFIGURE
class bigfloat { class bigfloat {
private: private:

View File

@ -25,10 +25,6 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef INCLUDED_BIGFLOAT_DOUBLE_H
#define INCLUDED_BIGFLOAT_DOUBLE_H
#include <math.h> #include <math.h>
typedef double mfloat; typedef double mfloat;
@ -190,6 +186,4 @@ public:
// friend bigfloat& random(void); // friend bigfloat& random(void);
}; };
#endif

View File

@ -1,34 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: BatchedBlas.h
Copyright (C) 2023
Author: Peter Boyle <pboyle@bnl.gov>
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 */
#include <Grid/GridCore.h>
#include <Grid/algorithms/blas/BatchedBlas.h>
NAMESPACE_BEGIN(Grid);
gridblasHandle_t GridBLAS::gridblasHandle;
int GridBLAS::gridblasInit;
NAMESPACE_END(Grid);

File diff suppressed because it is too large Load Diff

View File

@ -1,376 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: MultiRHSBlockCGLinalg.h
Copyright (C) 2024
Author: Peter Boyle <pboyle@bnl.gov>
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
NAMESPACE_BEGIN(Grid);
/* Need helper object for BLAS accelerated mrhs blockCG */
template<class Field>
class MultiRHSBlockCGLinalg
{
public:
typedef typename Field::scalar_type scalar;
typedef typename Field::scalar_object scalar_object;
typedef typename Field::vector_object vector_object;
deviceVector<scalar> BLAS_X; // nrhs x vol -- the sources
deviceVector<scalar> BLAS_Y; // nrhs x vol -- the result
deviceVector<scalar> BLAS_C; // nrhs x nrhs -- the coefficients
deviceVector<scalar> BLAS_Cred; // nrhs x nrhs x oSites -- reduction buffer
deviceVector<scalar *> Xdip;
deviceVector<scalar *> Ydip;
deviceVector<scalar *> Cdip;
MultiRHSBlockCGLinalg() {};
~MultiRHSBlockCGLinalg(){ Deallocate(); };
void Deallocate(void)
{
Xdip.resize(0);
Ydip.resize(0);
Cdip.resize(0);
BLAS_Cred.resize(0);
BLAS_C.resize(0);
BLAS_X.resize(0);
BLAS_Y.resize(0);
}
void MaddMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X,const std::vector<Field> &Y,RealD scale=1.0)
{
std::vector<Field> Y_copy(AP.size(),AP[0].Grid());
for(int r=0;r<AP.size();r++){
Y_copy[r] = Y[r];
}
MulMatrix(AP,m,X);
for(int r=0;r<AP.size();r++){
AP[r] = scale*AP[r]+Y_copy[r];
}
}
void MulMatrix(std::vector<Field> &Y, Eigen::MatrixXcd &m , const std::vector<Field> &X)
{
typedef typename Field::scalar_type scomplex;
GridBase *grid;
uint64_t vol;
uint64_t words;
int nrhs = Y.size();
grid = X[0].Grid();
vol = grid->lSites();
words = sizeof(scalar_object)/sizeof(scalar);
int64_t vw = vol * words;
RealD t0 = usecond();
BLAS_X.resize(nrhs * vw); // cost free if size doesn't change
BLAS_Y.resize(nrhs * vw); // cost free if size doesn't change
BLAS_C.resize(nrhs * nrhs);// cost free if size doesn't change
RealD t1 = usecond();
/////////////////////////////////////////////
// Copy in the multi-rhs sources
/////////////////////////////////////////////
for(int r=0;r<nrhs;r++){
int64_t offset = r*vw;
autoView(x_v,X[r],AcceleratorRead);
acceleratorCopyDeviceToDevice(&x_v[0],&BLAS_X[offset],sizeof(scalar_object)*vol);
}
// Assumes Eigen storage contiguous
acceleratorCopyToDevice(&m(0,0),&BLAS_C[0],BLAS_C.size()*sizeof(scalar));
/*
* in Fortran column major notation (cuBlas order)
*
* Xxr = [X1(x)][..][Xn(x)]
* Yxr = [Y1(x)][..][Ym(x)]
* Y = X . C
*/
deviceVector<scalar *> Xd(1);
deviceVector<scalar *> Yd(1);
deviceVector<scalar *> Cd(1);
scalar * Xh = & BLAS_X[0];
scalar * Yh = & BLAS_Y[0];
scalar * Ch = & BLAS_C[0];
acceleratorPut(Xd[0],Xh);
acceleratorPut(Yd[0],Yh);
acceleratorPut(Cd[0],Ch);
RealD t2 = usecond();
GridBLAS BLAS;
/////////////////////////////////////////
// Y = X*C (transpose?)
/////////////////////////////////////////
BLAS.gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N,
vw,nrhs,nrhs,
scalar(1.0),
Xd,
Cd,
scalar(0.0), // wipe out Y
Yd);
BLAS.synchronise();
RealD t3 = usecond();
// Copy back Y = m X
for(int r=0;r<nrhs;r++){
int64_t offset = r*vw;
autoView(y_v,Y[r],AcceleratorWrite);
acceleratorCopyDeviceToDevice(&BLAS_Y[offset],&y_v[0],sizeof(scalar_object)*vol);
}
RealD t4 = usecond();
std::cout <<GridLogPerformance << "MulMatrix alloc took "<< t1-t0<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "MulMatrix preamble took "<< t2-t1<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "MulMatrix blas took "<< t3-t2<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "MulMatrix copy took "<< t4-t3<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "MulMatrix total "<< t4-t0<<" us"<<std::endl;
}
void InnerProductMatrix(Eigen::MatrixXcd &m , const std::vector<Field> &X, const std::vector<Field> &Y)
{
#if 0
int nrhs;
GridBase *grid;
uint64_t vol;
uint64_t words;
nrhs = X.size();
assert(X.size()==Y.size());
conformable(X[0],Y[0]);
grid = X[0].Grid();
vol = grid->lSites();
words = sizeof(scalar_object)/sizeof(scalar);
int64_t vw = vol * words;
RealD t0 = usecond();
BLAS_X.resize(nrhs * vw); // cost free if size doesn't change
BLAS_Y.resize(nrhs * vw); // cost free if size doesn't change
BLAS_C.resize(nrhs * nrhs);// cost free if size doesn't change
RealD t1 = usecond();
/////////////////////////////////////////////
// Copy in the multi-rhs sources
/////////////////////////////////////////////
for(int r=0;r<nrhs;r++){
int64_t offset = r*vw;
autoView(x_v,X[r],AcceleratorRead);
acceleratorCopyDeviceToDevice(&x_v[0],&BLAS_X[offset],sizeof(scalar_object)*vol);
autoView(y_v,Y[r],AcceleratorRead);
acceleratorCopyDeviceToDevice(&y_v[0],&BLAS_Y[offset],sizeof(scalar_object)*vol);
}
RealD t2 = usecond();
/*
* in Fortran column major notation (cuBlas order)
*
* Xxr = [X1(x)][..][Xn(x)]
*
* Yxr = [Y1(x)][..][Ym(x)]
*
* C_rs = X^dag Y
*/
deviceVector<scalar *> Xd(1);
deviceVector<scalar *> Yd(1);
deviceVector<scalar *> Cd(1);
scalar * Xh = & BLAS_X[0];
scalar * Yh = & BLAS_Y[0];
scalar * Ch = & BLAS_C[0];
acceleratorPut(Xd[0],Xh);
acceleratorPut(Yd[0],Yh);
acceleratorPut(Cd[0],Ch);
GridBLAS BLAS;
RealD t3 = usecond();
/////////////////////////////////////////
// C_rs = X^dag Y
/////////////////////////////////////////
BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N,
nrhs,nrhs,vw,
ComplexD(1.0),
Xd,
Yd,
ComplexD(0.0), // wipe out C
Cd);
BLAS.synchronise();
RealD t4 = usecond();
std::vector<scalar> HOST_C(BLAS_C.size()); // nrhs . nrhs -- the coefficients
acceleratorCopyFromDevice(&BLAS_C[0],&HOST_C[0],BLAS_C.size()*sizeof(scalar));
grid->GlobalSumVector(&HOST_C[0],nrhs*nrhs);
RealD t5 = usecond();
for(int rr=0;rr<nrhs;rr++){
for(int r=0;r<nrhs;r++){
int off = r+nrhs*rr;
m(r,rr)=HOST_C[off];
}
}
RealD t6 = usecond();
uint64_t M=nrhs;
uint64_t N=nrhs;
uint64_t K=vw;
RealD bytes = 1.0*sizeof(ComplexD)*(M*N*2+N*K+M*K);
RealD flops = 8.0*M*N*K;
flops = flops/(t4-t3)/1.e3;
bytes = bytes/(t4-t3)/1.e3;
std::cout <<GridLogPerformance<< "InnerProductMatrix m,n,k "<< M<<","<<N<<","<<K<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix alloc t1 "<< t1-t0<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix cp t2 "<< t2-t1<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix setup t3 "<< t3-t2<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix blas t4 "<< t4-t3<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix blas "<< flops<<" GF/s"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix blas "<< bytes<<" GB/s"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix gsum t5 "<< t5-t4<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix cp t6 "<< t6-t5<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix took "<< t6-t0<<" us"<<std::endl;
#else
int nrhs;
GridBase *grid;
uint64_t vol;
uint64_t words;
nrhs = X.size();
assert(X.size()==Y.size());
conformable(X[0],Y[0]);
grid = X[0].Grid();
int rd0 = grid->_rdimensions[0] * grid->_rdimensions[1];
vol = grid->oSites()/rd0;
words = rd0*sizeof(vector_object)/sizeof(scalar);
int64_t vw = vol * words;
assert(vw == grid->lSites()*sizeof(scalar_object)/sizeof(scalar));
RealD t0 = usecond();
BLAS_X.resize(nrhs * vw); // cost free if size doesn't change
BLAS_Y.resize(nrhs * vw); // cost free if size doesn't change
BLAS_Cred.resize(nrhs * nrhs * vol);// cost free if size doesn't change
RealD t1 = usecond();
/////////////////////////////////////////////
// Copy in the multi-rhs sources -- layout batched BLAS ready
/////////////////////////////////////////////
for(int r=0;r<nrhs;r++){
autoView(x_v,X[r],AcceleratorRead);
autoView(y_v,Y[r],AcceleratorRead);
scalar *from_x=(scalar *)&x_v[0];
scalar *from_y=(scalar *)&y_v[0];
scalar *BX = &BLAS_X[0];
scalar *BY = &BLAS_Y[0];
accelerator_for(ssw,vw,1,{
uint64_t ss=ssw/words;
uint64_t w=ssw%words;
uint64_t offset = w+r*words+ss*nrhs*words; // [ss][rhs][words]
BX[offset] = from_x[ssw];
BY[offset] = from_y[ssw];
});
}
RealD t2 = usecond();
/*
* in Fortran column major notation (cuBlas order)
*
* Xxr = [X1(x)][..][Xn(x)]
*
* Yxr = [Y1(x)][..][Ym(x)]
*
* C_rs = X^dag Y
*/
Xdip.resize(vol);
Ydip.resize(vol);
Cdip.resize(vol);
std::vector<scalar *> Xh(vol);
std::vector<scalar *> Yh(vol);
std::vector<scalar *> Ch(vol);
for(uint64_t ss=0;ss<vol;ss++){
Xh[ss] = & BLAS_X[ss*nrhs*words];
Yh[ss] = & BLAS_Y[ss*nrhs*words];
Ch[ss] = & BLAS_Cred[ss*nrhs*nrhs];
}
acceleratorCopyToDevice(&Xh[0],&Xdip[0],vol*sizeof(scalar *));
acceleratorCopyToDevice(&Yh[0],&Ydip[0],vol*sizeof(scalar *));
acceleratorCopyToDevice(&Ch[0],&Cdip[0],vol*sizeof(scalar *));
GridBLAS BLAS;
RealD t3 = usecond();
/////////////////////////////////////////
// C_rs = X^dag Y
/////////////////////////////////////////
BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N,
nrhs,nrhs,words,
ComplexD(1.0),
Xdip,
Ydip,
ComplexD(0.0), // wipe out C
Cdip);
BLAS.synchronise();
RealD t4 = usecond();
std::vector<scalar> HOST_C(BLAS_Cred.size()); // nrhs . nrhs -- the coefficients
acceleratorCopyFromDevice(&BLAS_Cred[0],&HOST_C[0],BLAS_Cred.size()*sizeof(scalar));
RealD t5 = usecond();
m = Eigen::MatrixXcd::Zero(nrhs,nrhs);
for(int ss=0;ss<vol;ss++){
Eigen::Map<Eigen::MatrixXcd> eC((std::complex<double> *)&HOST_C[ss*nrhs*nrhs],nrhs,nrhs);
m = m + eC;
}
RealD t6l = usecond();
grid->GlobalSumVector((scalar *) &m(0,0),nrhs*nrhs);
RealD t6 = usecond();
uint64_t M=nrhs;
uint64_t N=nrhs;
uint64_t K=vw;
RealD xybytes = grid->lSites()*sizeof(scalar_object);
RealD bytes = 1.0*sizeof(ComplexD)*(M*N*2+N*K+M*K);
RealD flops = 8.0*M*N*K;
flops = flops/(t4-t3)/1.e3;
bytes = bytes/(t4-t3)/1.e3;
xybytes = 4*xybytes/(t2-t1)/1.e3;
std::cout <<GridLogPerformance<< "InnerProductMatrix m,n,k "<< M<<","<<N<<","<<K<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix alloc t1 "<< t1-t0<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix cp t2 "<< t2-t1<<" us "<<xybytes<<" GB/s"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix setup t3 "<< t3-t2<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix blas t4 "<< t4-t3<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix blas "<< flops<<" GF/s"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix blas "<< bytes<<" GB/s"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix cp t5 "<< t5-t4<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix lsum t6l "<< t6l-t5<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix gsum t6 "<< t6-t6l<<" us"<<std::endl;
std::cout <<GridLogPerformance<< "InnerProductMatrix took "<< t6-t0<<" us"<<std::endl;
#endif
}
};
NAMESPACE_END(Grid);

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@ -1,513 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: MultiRHSDeflation.h
Copyright (C) 2023
Author: Peter Boyle <pboyle@bnl.gov>
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
NAMESPACE_BEGIN(Grid);
/*
MultiRHS block projection
Import basis -> nblock x nbasis x (block x internal)
Import vector of fine lattice objects -> nblock x nrhs x (block x internal)
=> coarse_(nrhs x nbasis )^block = via batched GEMM
//template<class vobj,class CComplex,int nbasis,class VLattice>
//inline void blockProject(Lattice<iVector<CComplex,nbasis > > &coarseData,
// const VLattice &fineData,
// const VLattice &Basis)
*/
template<class Field>
class MultiRHSBlockProject
{
public:
typedef typename Field::scalar_type scalar;
typedef typename Field::scalar_object scalar_object;
typedef Field Fermion;
int nbasis;
GridBase *coarse_grid;
GridBase *fine_grid;
uint64_t block_vol;
uint64_t fine_vol;
uint64_t coarse_vol;
uint64_t words;
// Row major layout "C" order:
// BLAS_V[coarse_vol][nbasis][block_vol][words]
// BLAS_F[coarse_vol][nrhs][block_vol][words]
// BLAS_C[coarse_vol][nrhs][nbasis]
/*
* in Fortran column major notation (cuBlas order)
*
* Vxb = [v1(x)][..][vn(x)] ... x coarse vol
*
* Fxr = [r1(x)][..][rm(x)] ... x coarse vol
*
* Block project:
* C_br = V^dag F x coarse vol
*
* Block promote:
* F_xr = Vxb Cbr x coarse_vol
*/
deviceVector<scalar> BLAS_V; // words * block_vol * nbasis x coarse_vol
deviceVector<scalar> BLAS_F; // nrhs x fine_vol * words -- the sources
deviceVector<scalar> BLAS_C; // nrhs x coarse_vol * nbasis -- the coarse coeffs
RealD blasNorm2(deviceVector<scalar> &blas)
{
scalar ss(0.0);
std::vector<scalar> tmp(blas.size());
acceleratorCopyFromDevice(&blas[0],&tmp[0],blas.size()*sizeof(scalar));
for(int64_t s=0;s<blas.size();s++){
ss=ss+tmp[s]*adj(tmp[s]);
}
coarse_grid->GlobalSum(ss);
return real(ss);
}
MultiRHSBlockProject(){};
~MultiRHSBlockProject(){ Deallocate(); };
void Deallocate(void)
{
nbasis=0;
coarse_grid=nullptr;
fine_grid=nullptr;
fine_vol=0;
block_vol=0;
coarse_vol=0;
words=0;
BLAS_V.resize(0);
BLAS_F.resize(0);
BLAS_C.resize(0);
}
void Allocate(int _nbasis,GridBase *_fgrid,GridBase *_cgrid)
{
nbasis=_nbasis;
fine_grid=_fgrid;
coarse_grid=_cgrid;
fine_vol = fine_grid->lSites();
coarse_vol = coarse_grid->lSites();
block_vol = fine_vol/coarse_vol;
words = sizeof(scalar_object)/sizeof(scalar);
BLAS_V.resize (fine_vol * words * nbasis );
}
void ImportFineGridVectors(std::vector <Field > &vecs, deviceVector<scalar> &blas)
{
int nvec = vecs.size();
typedef typename Field::vector_object vobj;
// std::cout << GridLogMessage <<" BlockProjector importing "<<nvec<< " fine grid vectors" <<std::endl;
assert(vecs[0].Grid()==fine_grid);
subdivides(coarse_grid,fine_grid); // require they map
int _ndimension = coarse_grid->_ndimension;
assert(block_vol == fine_grid->oSites() / coarse_grid->oSites());
Coordinate block_r (_ndimension);
for(int d=0 ; d<_ndimension;d++){
block_r[d] = fine_grid->_rdimensions[d] / coarse_grid->_rdimensions[d];
}
uint64_t sz = blas.size();
acceleratorMemSet(&blas[0],0,blas.size()*sizeof(scalar));
Coordinate fine_rdimensions = fine_grid->_rdimensions;
Coordinate coarse_rdimensions = coarse_grid->_rdimensions;
int64_t bv= block_vol;
for(int v=0;v<vecs.size();v++){
// std::cout << " BlockProjector importing vector"<<v<<" "<<norm2(vecs[v])<<std::endl;
autoView( fineData , vecs[v], AcceleratorRead);
auto blasData_p = &blas[0];
auto fineData_p = &fineData[0];
int64_t osites = fine_grid->oSites();
// loop over fine sites
const int Nsimd = vobj::Nsimd();
// std::cout << "sz "<<sz<<std::endl;
// std::cout << "prod "<<Nsimd * coarse_grid->oSites() * block_vol * nvec * words<<std::endl;
assert(sz == Nsimd * coarse_grid->oSites() * block_vol * nvec * words);
uint64_t lwords= words; // local variable for copy in to GPU
accelerator_for(sf,osites,Nsimd,{
#ifdef GRID_SIMT
{
int lane=acceleratorSIMTlane(Nsimd); // buffer lane
#else
for(int lane=0;lane<Nsimd;lane++) {
#endif
// One thread per fine site
Coordinate coor_f(_ndimension);
Coordinate coor_b(_ndimension);
Coordinate coor_c(_ndimension);
// Fine site to fine coor
Lexicographic::CoorFromIndex(coor_f,sf,fine_rdimensions);
for(int d=0;d<_ndimension;d++) coor_b[d] = coor_f[d]%block_r[d];
for(int d=0;d<_ndimension;d++) coor_c[d] = coor_f[d]/block_r[d];
int sc;// coarse site
int sb;// block site
Lexicographic::IndexFromCoor(coor_c,sc,coarse_rdimensions);
Lexicographic::IndexFromCoor(coor_b,sb,block_r);
scalar_object data = extractLane(lane,fineData[sf]);
// BLAS layout address calculation
// words * block_vol * nbasis x coarse_vol
// coarse oSite x block vole x lanes
int64_t site = (lane*osites + sc*bv)*nvec
+ v*bv
+ sb;
// assert(site*lwords<sz);
scalar_object * ptr = (scalar_object *)&blasData_p[site*lwords];
*ptr = data;
#ifdef GRID_SIMT
}
#else
}
#endif
});
// std::cout << " import fine Blas norm "<<blasNorm2(blas)<<std::endl;
// std::cout << " BlockProjector imported vector"<<v<<std::endl;
}
}
void ExportFineGridVectors(std::vector <Field> &vecs, deviceVector<scalar> &blas)
{
typedef typename Field::vector_object vobj;
int nvec = vecs.size();
assert(vecs[0].Grid()==fine_grid);
subdivides(coarse_grid,fine_grid); // require they map
int _ndimension = coarse_grid->_ndimension;
assert(block_vol == fine_grid->oSites() / coarse_grid->oSites());
Coordinate block_r (_ndimension);
for(int d=0 ; d<_ndimension;d++){
block_r[d] = fine_grid->_rdimensions[d] / coarse_grid->_rdimensions[d];
}
Coordinate fine_rdimensions = fine_grid->_rdimensions;
Coordinate coarse_rdimensions = coarse_grid->_rdimensions;
// std::cout << " export fine Blas norm "<<blasNorm2(blas)<<std::endl;
int64_t bv= block_vol;
for(int v=0;v<vecs.size();v++){
autoView( fineData , vecs[v], AcceleratorWrite);
auto blasData_p = &blas[0];
auto fineData_p = &fineData[0];
int64_t osites = fine_grid->oSites();
uint64_t lwords = words;
// std::cout << " Nsimd is "<<vobj::Nsimd() << std::endl;
// std::cout << " lwords is "<<lwords << std::endl;
// std::cout << " sizeof(scalar_object) is "<<sizeof(scalar_object) << std::endl;
// loop over fine sites
accelerator_for(sf,osites,vobj::Nsimd(),{
#ifdef GRID_SIMT
{
int lane=acceleratorSIMTlane(vobj::Nsimd()); // buffer lane
#else
for(int lane=0;lane<vobj::Nsimd();lane++) {
#endif
// One thread per fine site
Coordinate coor_f(_ndimension);
Coordinate coor_b(_ndimension);
Coordinate coor_c(_ndimension);
Lexicographic::CoorFromIndex(coor_f,sf,fine_rdimensions);
for(int d=0;d<_ndimension;d++) coor_b[d] = coor_f[d]%block_r[d];
for(int d=0;d<_ndimension;d++) coor_c[d] = coor_f[d]/block_r[d];
int sc;
int sb;
Lexicographic::IndexFromCoor(coor_c,sc,coarse_rdimensions);
Lexicographic::IndexFromCoor(coor_b,sb,block_r);
// BLAS layout address calculation
// words * block_vol * nbasis x coarse_vol
int64_t site = (lane*osites + sc*bv)*nvec
+ v*bv
+ sb;
scalar_object * ptr = (scalar_object *)&blasData_p[site*lwords];
scalar_object data = *ptr;
insertLane(lane,fineData[sf],data);
#ifdef GRID_SIMT
}
#else
}
#endif
});
}
}
template<class vobj>
void ImportCoarseGridVectors(std::vector <Lattice<vobj> > &vecs, deviceVector<scalar> &blas)
{
int nvec = vecs.size();
typedef typename vobj::scalar_object coarse_scalar_object;
// std::cout << " BlockProjector importing "<<nvec<< " coarse grid vectors" <<std::endl;
assert(vecs[0].Grid()==coarse_grid);
int _ndimension = coarse_grid->_ndimension;
uint64_t sz = blas.size();
Coordinate coarse_rdimensions = coarse_grid->_rdimensions;
for(int v=0;v<vecs.size();v++){
// std::cout << " BlockProjector importing coarse vector"<<v<<" "<<norm2(vecs[v])<<std::endl;
autoView( coarseData , vecs[v], AcceleratorRead);
auto blasData_p = &blas[0];
auto coarseData_p = &coarseData[0];
int64_t osites = coarse_grid->oSites();
// loop over fine sites
const int Nsimd = vobj::Nsimd();
uint64_t cwords=sizeof(typename vobj::scalar_object)/sizeof(scalar);
assert(cwords==nbasis);
accelerator_for(sc,osites,Nsimd,{
#ifdef GRID_SIMT
{
int lane=acceleratorSIMTlane(Nsimd); // buffer lane
#else
for(int lane=0;lane<Nsimd;lane++) {
#endif
// C_br per site
int64_t blas_site = (lane*osites + sc)*nvec*cwords + v*cwords;
coarse_scalar_object data = extractLane(lane,coarseData[sc]);
coarse_scalar_object * ptr = (coarse_scalar_object *)&blasData_p[blas_site];
*ptr = data;
#ifdef GRID_SIMT
}
#else
}
#endif
});
// std::cout << " import coarsee Blas norm "<<blasNorm2(blas)<<std::endl;
}
}
template<class vobj>
void ExportCoarseGridVectors(std::vector <Lattice<vobj> > &vecs, deviceVector<scalar> &blas)
{
int nvec = vecs.size();
typedef typename vobj::scalar_object coarse_scalar_object;
// std::cout << GridLogMessage<<" BlockProjector exporting "<<nvec<< " coarse grid vectors" <<std::endl;
assert(vecs[0].Grid()==coarse_grid);
int _ndimension = coarse_grid->_ndimension;
uint64_t sz = blas.size();
Coordinate coarse_rdimensions = coarse_grid->_rdimensions;
// std::cout << " export coarsee Blas norm "<<blasNorm2(blas)<<std::endl;
for(int v=0;v<vecs.size();v++){
// std::cout << " BlockProjector exporting coarse vector"<<v<<std::endl;
autoView( coarseData , vecs[v], AcceleratorWrite);
auto blasData_p = &blas[0];
auto coarseData_p = &coarseData[0];
int64_t osites = coarse_grid->oSites();
// loop over fine sites
const int Nsimd = vobj::Nsimd();
uint64_t cwords=sizeof(typename vobj::scalar_object)/sizeof(scalar);
assert(cwords==nbasis);
accelerator_for(sc,osites,Nsimd,{
// Wrap in a macro "FOR_ALL_LANES(lane,{ ... });
#ifdef GRID_SIMT
{
int lane=acceleratorSIMTlane(Nsimd); // buffer lane
#else
for(int lane=0;lane<Nsimd;lane++) {
#endif
int64_t blas_site = (lane*osites + sc)*nvec*cwords + v*cwords;
coarse_scalar_object * ptr = (coarse_scalar_object *)&blasData_p[blas_site];
coarse_scalar_object data = *ptr;
insertLane(lane,coarseData[sc],data);
#ifdef GRID_SIMT
}
#else
}
#endif
});
}
}
void ImportBasis(std::vector < Field > &vecs)
{
// std::cout << " BlockProjector Import basis size "<<vecs.size()<<std::endl;
ImportFineGridVectors(vecs,BLAS_V);
}
template<class cobj>
void blockProject(std::vector<Field> &fine,std::vector< Lattice<cobj> > & coarse)
{
int nrhs=fine.size();
int _nbasis = sizeof(typename cobj::scalar_object)/sizeof(scalar);
// std::cout << "blockProject nbasis " <<nbasis<<" " << _nbasis<<std::endl;
assert(nbasis==_nbasis);
BLAS_F.resize (fine_vol * words * nrhs );
BLAS_C.resize (coarse_vol * nbasis * nrhs );
/////////////////////////////////////////////
// Copy in the multi-rhs sources to same data layout
/////////////////////////////////////////////
// std::cout << "BlockProject import fine"<<std::endl;
ImportFineGridVectors(fine,BLAS_F);
deviceVector<scalar *> Vd(coarse_vol);
deviceVector<scalar *> Fd(coarse_vol);
deviceVector<scalar *> Cd(coarse_vol);
// std::cout << "BlockProject pointers"<<std::endl;
for(int c=0;c<coarse_vol;c++){
// BLAS_V[coarse_vol][nbasis][block_vol][words]
// BLAS_F[coarse_vol][nrhs][block_vol][words]
// BLAS_C[coarse_vol][nrhs][nbasis]
scalar * Vh = & BLAS_V[c*nbasis*block_vol*words];
scalar * Fh = & BLAS_F[c*nrhs*block_vol*words];
scalar * Ch = & BLAS_C[c*nrhs*nbasis];
acceleratorPut(Vd[c],Vh);
acceleratorPut(Fd[c],Fh);
acceleratorPut(Cd[c],Ch);
}
GridBLAS BLAS;
// std::cout << "BlockProject BLAS"<<std::endl;
int64_t vw = block_vol * words;
/////////////////////////////////////////
// C_br = V^dag R
/////////////////////////////////////////
BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N,
nbasis,nrhs,vw,
scalar(1.0),
Vd,
Fd,
scalar(0.0), // wipe out C
Cd);
BLAS.synchronise();
// std::cout << "BlockProject done"<<std::endl;
ExportCoarseGridVectors(coarse, BLAS_C);
// std::cout << "BlockProject done"<<std::endl;
}
template<class cobj>
void blockPromote(std::vector<Field> &fine,std::vector<Lattice<cobj> > & coarse)
{
int nrhs=fine.size();
int _nbasis = sizeof(typename cobj::scalar_object)/sizeof(scalar);
assert(nbasis==_nbasis);
BLAS_F.resize (fine_vol * words * nrhs );
BLAS_C.resize (coarse_vol * nbasis * nrhs );
ImportCoarseGridVectors(coarse, BLAS_C);
GridBLAS BLAS;
deviceVector<scalar *> Vd(coarse_vol);
deviceVector<scalar *> Fd(coarse_vol);
deviceVector<scalar *> Cd(coarse_vol);
for(int c=0;c<coarse_vol;c++){
// BLAS_V[coarse_vol][nbasis][block_vol][words]
// BLAS_F[coarse_vol][nrhs][block_vol][words]
// BLAS_C[coarse_vol][nrhs][nbasis]
scalar * Vh = & BLAS_V[c*nbasis*block_vol*words];
scalar * Fh = & BLAS_F[c*nrhs*block_vol*words];
scalar * Ch = & BLAS_C[c*nrhs*nbasis];
acceleratorPut(Vd[c],Vh);
acceleratorPut(Fd[c],Fh);
acceleratorPut(Cd[c],Ch);
}
/////////////////////////////////////////
// Block promote:
// F_xr = Vxb Cbr (x coarse_vol)
/////////////////////////////////////////
int64_t vw = block_vol * words;
BLAS.gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N,
vw,nrhs,nbasis,
scalar(1.0),
Vd,
Cd,
scalar(0.0), // wipe out C
Fd);
BLAS.synchronise();
// std::cout << " blas call done"<<std::endl;
ExportFineGridVectors(fine, BLAS_F);
// std::cout << " exported "<<std::endl;
}
};
NAMESPACE_END(Grid);

View File

@ -1,233 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: MultiRHSDeflation.h
Copyright (C) 2023
Author: Peter Boyle <pboyle@bnl.gov>
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
NAMESPACE_BEGIN(Grid);
/* Need helper object for BLAS accelerated mrhs projection
i) MultiRHS Deflation
Import Evecs -> nev x vol x internal
Import vector of Lattice objects -> nrhs x vol x internal
=> Cij (nrhs x Nev) via GEMM.
=> Guess (nrhs x vol x internal) = C x evecs (via GEMM)
Export
ii) MultiRHS block projection
Import basis -> nblock x nbasis x (block x internal)
Import vector of fine lattice objects -> nblock x nrhs x (block x internal)
=> coarse_(nrhs x nbasis )^block = via batched GEMM
iii) Alternate interface:
Import higher dim Lattice object-> vol x nrhs layout
*/
template<class Field>
class MultiRHSDeflation
{
public:
typedef typename Field::scalar_type scalar;
typedef typename Field::scalar_object scalar_object;
int nev;
std::vector<RealD> eval;
GridBase *grid;
uint64_t vol;
uint64_t words;
deviceVector<scalar> BLAS_E; // nev x vol -- the eigenbasis (up to a 1/sqrt(lambda))
deviceVector<scalar> BLAS_R; // nrhs x vol -- the sources
deviceVector<scalar> BLAS_G; // nrhs x vol -- the guess
deviceVector<scalar> BLAS_C; // nrhs x nev -- the coefficients
MultiRHSDeflation(){};
~MultiRHSDeflation(){ Deallocate(); };
void Deallocate(void)
{
nev=0;
grid=nullptr;
vol=0;
words=0;
BLAS_E.resize(0);
BLAS_R.resize(0);
BLAS_C.resize(0);
BLAS_G.resize(0);
}
void Allocate(int _nev,GridBase *_grid)
{
nev=_nev;
grid=_grid;
vol = grid->lSites();
words = sizeof(scalar_object)/sizeof(scalar);
eval.resize(nev);
BLAS_E.resize (vol * words * nev );
std::cout << GridLogMessage << " Allocate for "<<nev<<" eigenvectors and volume "<<vol<<std::endl;
}
void ImportEigenVector(Field &evec,RealD &_eval, int ev)
{
// std::cout << " ev " <<ev<<" eval "<<_eval<< std::endl;
assert(ev<eval.size());
eval[ev] = _eval;
int64_t offset = ev*vol*words;
autoView(v,evec,AcceleratorRead);
acceleratorCopyDeviceToDevice(&v[0],&BLAS_E[offset],sizeof(scalar_object)*vol);
}
void ImportEigenBasis(std::vector<Field> &evec,std::vector<RealD> &_eval)
{
ImportEigenBasis(evec,_eval,0,evec.size());
}
// Could use to import a batch of eigenvectors
void ImportEigenBasis(std::vector<Field> &evec,std::vector<RealD> &_eval, int _ev0, int _nev)
{
assert(_ev0+_nev<=evec.size());
Allocate(_nev,evec[0].Grid());
// Imports a sub-batch of eigenvectors, _ev0, ..., _ev0+_nev-1
for(int e=0;e<nev;e++){
std::cout << "Importing eigenvector "<<e<<" evalue "<<_eval[_ev0+e]<<std::endl;
ImportEigenVector(evec[_ev0+e],_eval[_ev0+e],e);
}
}
void DeflateSources(std::vector<Field> &source,std::vector<Field> & guess)
{
int nrhs = source.size();
assert(source.size()==guess.size());
assert(grid == guess[0].Grid());
conformable(guess[0],source[0]);
int64_t vw = vol * words;
RealD t0 = usecond();
BLAS_R.resize(nrhs * vw); // cost free if size doesn't change
BLAS_G.resize(nrhs * vw); // cost free if size doesn't change
BLAS_C.resize(nev * nrhs);// cost free if size doesn't change
/////////////////////////////////////////////
// Copy in the multi-rhs sources
/////////////////////////////////////////////
// for(int r=0;r<nrhs;r++){
// std::cout << " source["<<r<<"] = "<<norm2(source[r])<<std::endl;
// }
for(int r=0;r<nrhs;r++){
int64_t offset = r*vw;
autoView(v,source[r],AcceleratorRead);
acceleratorCopyDeviceToDevice(&v[0],&BLAS_R[offset],sizeof(scalar_object)*vol);
}
/*
* in Fortran column major notation (cuBlas order)
*
* Exe = [e1(x)][..][en(x)]
*
* Rxr = [r1(x)][..][rm(x)]
*
* C_er = E^dag R
* C_er = C_er / lambda_e
* G_xr = Exe Cer
*/
deviceVector<scalar *> Ed(1);
deviceVector<scalar *> Rd(1);
deviceVector<scalar *> Cd(1);
deviceVector<scalar *> Gd(1);
scalar * Eh = & BLAS_E[0];
scalar * Rh = & BLAS_R[0];
scalar * Ch = & BLAS_C[0];
scalar * Gh = & BLAS_G[0];
acceleratorPut(Ed[0],Eh);
acceleratorPut(Rd[0],Rh);
acceleratorPut(Cd[0],Ch);
acceleratorPut(Gd[0],Gh);
GridBLAS BLAS;
/////////////////////////////////////////
// C_er = E^dag R
/////////////////////////////////////////
BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N,
nev,nrhs,vw,
scalar(1.0),
Ed,
Rd,
scalar(0.0), // wipe out C
Cd);
BLAS.synchronise();
assert(BLAS_C.size()==nev*nrhs);
std::vector<scalar> HOST_C(BLAS_C.size()); // nrhs . nev -- the coefficients
acceleratorCopyFromDevice(&BLAS_C[0],&HOST_C[0],BLAS_C.size()*sizeof(scalar));
grid->GlobalSumVector(&HOST_C[0],nev*nrhs);
for(int e=0;e<nev;e++){
RealD lam(1.0/eval[e]);
for(int r=0;r<nrhs;r++){
int off = e+nev*r;
HOST_C[off]=HOST_C[off] * lam;
// std::cout << "C["<<e<<"]["<<r<<"] ="<<HOST_C[off]<< " eval[e] "<<eval[e] <<std::endl;
}
}
acceleratorCopyToDevice(&HOST_C[0],&BLAS_C[0],BLAS_C.size()*sizeof(scalar));
/////////////////////////////////////////
// Guess G_xr = Exe Cer
/////////////////////////////////////////
BLAS.gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N,
vw,nrhs,nev,
scalar(1.0),
Ed, // x . nev
Cd, // nev . nrhs
scalar(0.0),
Gd);
BLAS.synchronise();
///////////////////////////////////////
// Copy out the multirhs
///////////////////////////////////////
for(int r=0;r<nrhs;r++){
int64_t offset = r*vw;
autoView(v,guess[r],AcceleratorWrite);
acceleratorCopyDeviceToDevice(&BLAS_G[offset],&v[0],sizeof(scalar_object)*vol);
}
RealD t1 = usecond();
std::cout << GridLogMessage << "MultiRHSDeflation for "<<nrhs<<" sources with "<<nev<<" eigenvectors took " << (t1-t0)/1e3 <<" ms"<<std::endl;
}
};
NAMESPACE_END(Grid);

View File

@ -33,111 +33,109 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
* Script A = SolverMatrix * Script A = SolverMatrix
* Script P = Preconditioner * Script P = Preconditioner
* *
* Deflation methods considered
* -- Solve P A x = P b [ like Luscher ]
* DEF-1 M P A x = M P b [i.e. left precon]
* DEF-2 P^T M A x = P^T M b
* ADEF-1 Preconditioner = M P + Q [ Q + M + M A Q]
* ADEF-2 Preconditioner = P^T M + Q
* BNN Preconditioner = P^T M P + Q
* BNN2 Preconditioner = M P + P^TM +Q - M P A M
*
* Implement ADEF-2 * Implement ADEF-2
* *
* Vstart = P^Tx + Qb * Vstart = P^Tx + Qb
* M1 = P^TM + Q * M1 = P^TM + Q
* M2=M3=1 * M2=M3=1
* Vout = x
*/ */
NAMESPACE_BEGIN(Grid);
// abstract base
template<class Field> template<class Field, class CoarseField>
class TwoLevelCG : public LinearFunction<Field> class TwoLevelFlexiblePcg : public LinearFunction<Field>
{ {
public: public:
int verbose;
RealD Tolerance; RealD Tolerance;
Integer MaxIterations; Integer MaxIterations;
const int mmax = 5;
GridBase *grid; GridBase *grid;
GridBase *coarsegrid;
// Fine operator, Smoother, CoarseSolver LinearOperatorBase<Field> *_Linop
LinearOperatorBase<Field> &_FineLinop; OperatorFunction<Field> *_Smoother,
LinearFunction<Field> &_Smoother; LinearFunction<CoarseField> *_CoarseSolver;
// Need somthing that knows how to get from Coarse to fine and back again
// more most opertor functions // more most opertor functions
TwoLevelCG(RealD tol, TwoLevelFlexiblePcg(RealD tol,
Integer maxit, Integer maxit,
LinearOperatorBase<Field> &FineLinop, LinearOperatorBase<Field> *Linop,
LinearFunction<Field> &Smoother, LinearOperatorBase<Field> *SmootherLinop,
GridBase *fine) : OperatorFunction<Field> *Smoother,
OperatorFunction<CoarseField> CoarseLinop
) :
Tolerance(tol), Tolerance(tol),
MaxIterations(maxit), MaxIterations(maxit),
_FineLinop(FineLinop), _Linop(Linop),
_Smoother(Smoother) _PreconditionerLinop(PrecLinop),
{ _Preconditioner(Preconditioner)
grid = fine; {
verbose=0;
}; };
virtual void operator() (const Field &src, Field &x) // The Pcg routine is common to all, but the various matrices differ from derived
{ // implementation to derived implmentation
std::cout << GridLogMessage<<"HDCG: fPcg starting single RHS"<<std::endl; void operator() (const Field &src, Field &psi){
void operator() (const Field &src, Field &psi){
psi.checkerboard = src.checkerboard;
grid = src._grid;
RealD f; RealD f;
RealD rtzp,rtz,a,d,b; RealD rtzp,rtz,a,d,b;
RealD rptzp; RealD rptzp;
RealD tn;
RealD guess = norm2(psi);
RealD ssq = norm2(src);
RealD rsq = ssq*Tolerance*Tolerance;
///////////////////////////// /////////////////////////////
// Set up history vectors // Set up history vectors
///////////////////////////// /////////////////////////////
int mmax = 5; std::vector<Field> p (mmax,grid);
std::cout << GridLogMessage<<"HDCG: fPcg allocating"<<std::endl;
std::vector<Field> p(mmax,grid);
std::vector<Field> mmp(mmax,grid); std::vector<Field> mmp(mmax,grid);
std::vector<RealD> pAp(mmax); std::vector<RealD> pAp(mmax);
Field z(grid);
Field x (grid); x = psi;
Field z (grid);
Field tmp(grid); Field tmp(grid);
Field mp (grid); Field r (grid);
Field r (grid); Field mu (grid);
Field mu (grid);
std::cout << GridLogMessage<<"HDCG: fPcg allocated"<<std::endl;
//Initial residual computation & set up
RealD guess = norm2(x);
std::cout << GridLogMessage<<"HDCG: fPcg guess nrm "<<guess<<std::endl;
RealD src_nrm = norm2(src);
std::cout << GridLogMessage<<"HDCG: fPcg src nrm "<<src_nrm<<std::endl;
if ( src_nrm == 0.0 ) {
std::cout << GridLogMessage<<"HDCG: fPcg given trivial source norm "<<src_nrm<<std::endl;
x=Zero();
}
RealD tn;
GridStopWatch HDCGTimer;
HDCGTimer.Start();
////////////////////////// //////////////////////////
// x0 = Vstart -- possibly modify guess // x0 = Vstart -- possibly modify guess
////////////////////////// //////////////////////////
x=src;
Vstart(x,src); Vstart(x,src);
// r0 = b -A x0 // r0 = b -A x0
_FineLinop.HermOp(x,mmp[0]); HermOp(x,mmp); // Shouldn't this be something else?
axpy (r, -1.0,mmp[0], src); // Recomputes r=src-Ax0 axpy (r, -1.0,mmp[0], src); // Recomputes r=src-Ax0
{
double n1 = norm2(x);
double n2 = norm2(mmp[0]);
double n3 = norm2(r);
std::cout<<GridLogMessage<<"x,vstart,r = "<<n1<<" "<<n2<<" "<<n3<<std::endl;
}
////////////////////////////////// //////////////////////////////////
// Compute z = M1 x // Compute z = M1 x
////////////////////////////////// //////////////////////////////////
PcgM1(r,z); M1(r,z,tmp,mp,SmootherMirs);
rtzp =real(innerProduct(r,z)); rtzp =real(innerProduct(r,z));
/////////////////////////////////////// ///////////////////////////////////////
// Solve for Mss mu = P A z and set p = z-mu // Solve for Mss mu = P A z and set p = z-mu
// Def2 p = 1 - Q Az = Pright z // Def2: p = 1 - Q Az = Pright z
// Other algos M2 is trivial // Other algos M2 is trivial
/////////////////////////////////////// ///////////////////////////////////////
PcgM2(z,p[0]); M2(z,p[0]);
RealD ssq = norm2(src);
RealD rsq = ssq*Tolerance*Tolerance;
std::cout << GridLogMessage<<"HDCG: k=0 residual "<<rtzp<<" rsq "<<rsq<<"\n";
Field pp(grid);
for (int k=0;k<=MaxIterations;k++){ for (int k=0;k<=MaxIterations;k++){
@ -145,46 +143,31 @@ class TwoLevelCG : public LinearFunction<Field>
int peri_kp = (k+1) % mmax; int peri_kp = (k+1) % mmax;
rtz=rtzp; rtz=rtzp;
d= PcgM3(p[peri_k],mmp[peri_k]); d= M3(p[peri_k],mp,mmp[peri_k],tmp);
a = rtz/d; a = rtz/d;
// Memorise this // Memorise this
pAp[peri_k] = d; pAp[peri_k] = d;
axpy(x,a,p[peri_k],x); axpy(x,a,p[peri_k],x);
RealD rn = axpy_norm(r,-a,mmp[peri_k],r); RealD rn = axpy_norm(r,-a,mmp[peri_k],r);
// Compute z = M x // Compute z = M x
PcgM1(r,z); M1(r,z,tmp,mp);
{
RealD n1,n2;
n1=norm2(r);
n2=norm2(z);
std::cout << GridLogMessage<<"HDCG::fPcg iteration "<<k<<" : vector r,z "<<n1<<" "<<n2<<"\n";
}
rtzp =real(innerProduct(r,z)); rtzp =real(innerProduct(r,z));
std::cout << GridLogMessage<<"HDCG::fPcg iteration "<<k<<" : inner rtzp "<<rtzp<<"\n";
// PcgM2(z,p[0]); M2(z,mu); // ADEF-2 this is identity. Axpy possible to eliminate
PcgM2(z,mu); // ADEF-2 this is identity. Axpy possible to eliminate
p[peri_kp]=mu;
// Standard search direction p -> z + b p p[peri_kp]=p[peri_k];
// Standard search direction p -> z + b p ; b =
b = (rtzp)/rtz; b = (rtzp)/rtz;
int northog;
// k=zero <=> peri_kp=1; northog = 1
// k=1 <=> peri_kp=2; northog = 2
// ... ... ...
// k=mmax-2<=> peri_kp=mmax-1; northog = mmax-1
// k=mmax-1<=> peri_kp=0; northog = 1
int northog;
// northog = (peri_kp==0)?1:peri_kp; // This is the fCG(mmax) algorithm // northog = (peri_kp==0)?1:peri_kp; // This is the fCG(mmax) algorithm
northog = (k>mmax-1)?(mmax-1):k; // This is the fCG-Tr(mmax-1) algorithm northog = (k>mmax-1)?(mmax-1):k; // This is the fCG-Tr(mmax-1) algorithm
std::cout<<GridLogMessage<<"HDCG::fPcg iteration "<<k<<" : orthogonalising to last "<<northog<<" vectors\n";
for(int back=0; back < northog; back++){ for(int back=0; back < northog; back++){
int peri_back = (k-back)%mmax; int peri_back = (k-back)%mmax;
RealD pbApk= real(innerProduct(mmp[peri_back],p[peri_kp])); RealD pbApk= real(innerProduct(mmp[peri_back],p[peri_kp]));
@ -193,324 +176,75 @@ class TwoLevelCG : public LinearFunction<Field>
} }
RealD rrn=sqrt(rn/ssq); RealD rrn=sqrt(rn/ssq);
RealD rtn=sqrt(rtz/ssq); std::cout<<GridLogMessage<<"TwoLevelfPcg: k= "<<k<<" residual = "<<rrn<<std::endl;
RealD rtnp=sqrt(rtzp/ssq);
std::cout<<GridLogMessage<<"HDCG: fPcg k= "<<k<<" residual = "<<rrn<<"\n";
// Stopping condition // Stopping condition
if ( rn <= rsq ) { if ( rn <= rsq ) {
HDCGTimer.Stop(); HermOp(x,mmp); // Shouldn't this be something else?
std::cout<<GridLogMessage<<"HDCG: fPcg converged in "<<k<<" iterations and "<<HDCGTimer.Elapsed()<<std::endl;;
_FineLinop.HermOp(x,mmp[0]);
axpy(tmp,-1.0,src,mmp[0]); axpy(tmp,-1.0,src,mmp[0]);
RealD mmpnorm = sqrt(norm2(mmp[0])); RealD psinorm = sqrt(norm2(x));
RealD xnorm = sqrt(norm2(x)); RealD srcnorm = sqrt(norm2(src));
RealD srcnorm = sqrt(norm2(src)); RealD tmpnorm = sqrt(norm2(tmp));
RealD tmpnorm = sqrt(norm2(tmp)); RealD true_residual = tmpnorm/srcnorm;
RealD true_residual = tmpnorm/srcnorm; std::cout<<GridLogMessage<<"TwoLevelfPcg: true residual is "<<true_residual<<std::endl;
std::cout<<GridLogMessage std::cout<<GridLogMessage<<"TwoLevelfPcg: target residual was"<<Tolerance<<std::endl;
<<"HDCG: true residual is "<<true_residual return k;
<<" solution "<<xnorm
<<" source "<<srcnorm
<<" mmp "<<mmpnorm
<<std::endl;
return;
} }
} }
HDCGTimer.Stop(); // Non-convergence
std::cout<<GridLogMessage<<"HDCG: not converged "<<HDCGTimer.Elapsed()<<std::endl; assert(0);
RealD xnorm = sqrt(norm2(x));
RealD srcnorm = sqrt(norm2(src));
std::cout<<GridLogMessage<<"HDCG: non-converged solution "<<xnorm<<" source "<<srcnorm<<std::endl;
} }
virtual void operator() (std::vector<Field> &src, std::vector<Field> &x)
{
std::cout << GridLogMessage<<"HDCG: mrhs fPcg starting"<<std::endl;
src[0].Grid()->Barrier();
int nrhs = src.size();
std::vector<RealD> f(nrhs);
std::vector<RealD> rtzp(nrhs);
std::vector<RealD> rtz(nrhs);
std::vector<RealD> a(nrhs);
std::vector<RealD> d(nrhs);
std::vector<RealD> b(nrhs);
std::vector<RealD> rptzp(nrhs);
/////////////////////////////
// Set up history vectors
/////////////////////////////
int mmax = 3;
std::cout << GridLogMessage<<"HDCG: fPcg allocating"<<std::endl;
src[0].Grid()->Barrier();
std::vector<std::vector<Field> > p(nrhs); for(int r=0;r<nrhs;r++) p[r].resize(mmax,grid);
std::cout << GridLogMessage<<"HDCG: fPcg allocated p"<<std::endl;
src[0].Grid()->Barrier();
std::vector<std::vector<Field> > mmp(nrhs); for(int r=0;r<nrhs;r++) mmp[r].resize(mmax,grid);
std::cout << GridLogMessage<<"HDCG: fPcg allocated mmp"<<std::endl;
src[0].Grid()->Barrier();
std::vector<std::vector<RealD> > pAp(nrhs); for(int r=0;r<nrhs;r++) pAp[r].resize(mmax);
std::cout << GridLogMessage<<"HDCG: fPcg allocated pAp"<<std::endl;
src[0].Grid()->Barrier();
std::vector<Field> z(nrhs,grid);
std::vector<Field> mp (nrhs,grid);
std::vector<Field> r (nrhs,grid);
std::vector<Field> mu (nrhs,grid);
std::cout << GridLogMessage<<"HDCG: fPcg allocated z,mp,r,mu"<<std::endl;
src[0].Grid()->Barrier();
//Initial residual computation & set up
std::vector<RealD> src_nrm(nrhs);
for(int rhs=0;rhs<nrhs;rhs++) {
src_nrm[rhs]=norm2(src[rhs]);
assert(src_nrm[rhs]!=0.0);
}
std::vector<RealD> tn(nrhs);
GridStopWatch HDCGTimer;
HDCGTimer.Start();
//////////////////////////
// x0 = Vstart -- possibly modify guess
//////////////////////////
Vstart(x,src);
for(int rhs=0;rhs<nrhs;rhs++){
// r0 = b -A x0
_FineLinop.HermOp(x[rhs],mmp[rhs][0]);
axpy (r[rhs], -1.0,mmp[rhs][0], src[rhs]); // Recomputes r=src-Ax0
}
//////////////////////////////////
// Compute z = M1 x
//////////////////////////////////
// This needs a multiRHS version for acceleration
PcgM1(r,z);
std::vector<RealD> ssq(nrhs);
std::vector<RealD> rsq(nrhs);
std::vector<Field> pp(nrhs,grid);
for(int rhs=0;rhs<nrhs;rhs++){
rtzp[rhs] =real(innerProduct(r[rhs],z[rhs]));
p[rhs][0]=z[rhs];
ssq[rhs]=norm2(src[rhs]);
rsq[rhs]= ssq[rhs]*Tolerance*Tolerance;
std::cout << GridLogMessage<<"mrhs HDCG: "<<rhs<<" k=0 residual "<<rtzp[rhs]<<" rsq "<<rsq[rhs]<<"\n";
}
std::vector<RealD> rn(nrhs);
for (int k=0;k<=MaxIterations;k++){
int peri_k = k % mmax;
int peri_kp = (k+1) % mmax;
for(int rhs=0;rhs<nrhs;rhs++){
rtz[rhs]=rtzp[rhs];
d[rhs]= PcgM3(p[rhs][peri_k],mmp[rhs][peri_k]);
a[rhs] = rtz[rhs]/d[rhs];
// Memorise this
pAp[rhs][peri_k] = d[rhs];
axpy(x[rhs],a[rhs],p[rhs][peri_k],x[rhs]);
rn[rhs] = axpy_norm(r[rhs],-a[rhs],mmp[rhs][peri_k],r[rhs]);
}
// Compute z = M x (for *all* RHS)
PcgM1(r,z);
std::cout << GridLogMessage<<"HDCG::fPcg M1 complete"<<std::endl;
grid->Barrier();
RealD max_rn=0.0;
for(int rhs=0;rhs<nrhs;rhs++){
rtzp[rhs] =real(innerProduct(r[rhs],z[rhs]));
std::cout << GridLogMessage<<"HDCG::fPcg rhs"<<rhs<<" iteration "<<k<<" : inner rtzp "<<rtzp[rhs]<<"\n";
mu[rhs]=z[rhs];
p[rhs][peri_kp]=mu[rhs];
// Standard search direction p == z + b p
b[rhs] = (rtzp[rhs])/rtz[rhs];
int northog = (k>mmax-1)?(mmax-1):k; // This is the fCG-Tr(mmax-1) algorithm
std::cout<<GridLogMessage<<"HDCG::fPcg iteration "<<k<<" : orthogonalising to last "<<northog<<" vectors\n";
for(int back=0; back < northog; back++){
int peri_back = (k-back)%mmax;
RealD pbApk= real(innerProduct(mmp[rhs][peri_back],p[rhs][peri_kp]));
RealD beta = -pbApk/pAp[rhs][peri_back];
axpy(p[rhs][peri_kp],beta,p[rhs][peri_back],p[rhs][peri_kp]);
}
RealD rrn=sqrt(rn[rhs]/ssq[rhs]);
RealD rtn=sqrt(rtz[rhs]/ssq[rhs]);
RealD rtnp=sqrt(rtzp[rhs]/ssq[rhs]);
std::cout<<GridLogMessage<<"HDCG: rhs "<<rhs<<"fPcg k= "<<k<<" residual = "<<rrn<<"\n";
if ( rrn > max_rn ) max_rn = rrn;
}
// Stopping condition based on worst case
if ( max_rn <= Tolerance ) {
HDCGTimer.Stop();
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg converged in "<<k<<" iterations and "<<HDCGTimer.Elapsed()<<std::endl;;
for(int rhs=0;rhs<nrhs;rhs++){
_FineLinop.HermOp(x[rhs],mmp[rhs][0]);
Field tmp(grid);
axpy(tmp,-1.0,src[rhs],mmp[rhs][0]);
RealD mmpnorm = sqrt(norm2(mmp[rhs][0]));
RealD xnorm = sqrt(norm2(x[rhs]));
RealD srcnorm = sqrt(norm2(src[rhs]));
RealD tmpnorm = sqrt(norm2(tmp));
RealD true_residual = tmpnorm/srcnorm;
std::cout<<GridLogMessage
<<"HDCG: true residual ["<<rhs<<"] is "<<true_residual
<<" solution "<<xnorm
<<" source "<<srcnorm
<<" mmp "<<mmpnorm
<<std::endl;
}
return;
}
}
HDCGTimer.Stop();
std::cout<<GridLogMessage<<"HDCG: not converged "<<HDCGTimer.Elapsed()<<std::endl;
for(int rhs=0;rhs<nrhs;rhs++){
RealD xnorm = sqrt(norm2(x[rhs]));
RealD srcnorm = sqrt(norm2(src[rhs]));
std::cout<<GridLogMessage<<"HDCG: non-converged solution "<<xnorm<<" source "<<srcnorm<<std::endl;
}
}
public: public:
virtual void PcgM1(std::vector<Field> & in,std::vector<Field> & out) virtual void M(Field & in,Field & out,Field & tmp) {
{
std::cout << "PcgM1 default (cheat) mrhs version"<<std::endl;
for(int rhs=0;rhs<in.size();rhs++){
this->PcgM1(in[rhs],out[rhs]);
}
}
virtual void PcgM1(Field & in, Field & out) =0;
virtual void Vstart(std::vector<Field> & x,std::vector<Field> & src)
{
std::cout << "Vstart default (cheat) mrhs version"<<std::endl;
for(int rhs=0;rhs<x.size();rhs++){
this->Vstart(x[rhs],src[rhs]);
}
}
virtual void Vstart(Field & x,const Field & src)=0;
virtual void PcgM2(const Field & in, Field & out) {
out=in;
} }
virtual RealD PcgM3(const Field & p, Field & mmp){ virtual void M1(Field & in, Field & out) {// the smoother
RealD dd;
_FineLinop.HermOp(p,mmp);
ComplexD dot = innerProduct(p,mmp);
dd=real(dot);
return dd;
}
/////////////////////////////////////////////////////////////////////
// Only Def1 has non-trivial Vout.
/////////////////////////////////////////////////////////////////////
};
template<class Field, class CoarseField, class Aggregation>
class TwoLevelADEF2 : public TwoLevelCG<Field>
{
public:
///////////////////////////////////////////////////////////////////////////////////
// Need something that knows how to get from Coarse to fine and back again
// void ProjectToSubspace(CoarseVector &CoarseVec,const FineField &FineVec){
// void PromoteFromSubspace(const CoarseVector &CoarseVec,FineField &FineVec){
///////////////////////////////////////////////////////////////////////////////////
GridBase *coarsegrid;
Aggregation &_Aggregates;
LinearFunction<CoarseField> &_CoarseSolver;
LinearFunction<CoarseField> &_CoarseSolverPrecise;
///////////////////////////////////////////////////////////////////////////////////
// more most opertor functions
TwoLevelADEF2(RealD tol,
Integer maxit,
LinearOperatorBase<Field> &FineLinop,
LinearFunction<Field> &Smoother,
LinearFunction<CoarseField> &CoarseSolver,
LinearFunction<CoarseField> &CoarseSolverPrecise,
Aggregation &Aggregates
) :
TwoLevelCG<Field>(tol,maxit,FineLinop,Smoother,Aggregates.FineGrid),
_CoarseSolver(CoarseSolver),
_CoarseSolverPrecise(CoarseSolverPrecise),
_Aggregates(Aggregates)
{
coarsegrid = Aggregates.CoarseGrid;
};
virtual void PcgM1(Field & in, Field & out)
{
GRID_TRACE("MultiGridPreconditioner ");
// [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min] // [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
Field tmp(grid);
Field Min(grid);
Field tmp(this->grid); PcgM(in,Min); // Smoother call
Field Min(this->grid);
CoarseField PleftProj(this->coarsegrid);
CoarseField PleftMss_proj(this->coarsegrid);
GridStopWatch SmootherTimer; HermOp(Min,out);
GridStopWatch MatrixTimer;
SmootherTimer.Start();
this->_Smoother(in,Min);
SmootherTimer.Stop();
MatrixTimer.Start();
this->_FineLinop.HermOp(Min,out);
MatrixTimer.Stop();
axpy(tmp,-1.0,out,in); // tmp = in - A Min axpy(tmp,-1.0,out,in); // tmp = in - A Min
GridStopWatch ProjTimer; ProjectToSubspace(tmp,PleftProj);
GridStopWatch CoarseTimer; ApplyInverse(PleftProj,PleftMss_proj); // Ass^{-1} [in - A Min]_s
GridStopWatch PromTimer; PromoteFromSubspace(PleftMss_proj,tmp);// tmp = Q[in - A Min]
ProjTimer.Start();
this->_Aggregates.ProjectToSubspace(PleftProj,tmp);
ProjTimer.Stop();
CoarseTimer.Start();
this->_CoarseSolver(PleftProj,PleftMss_proj); // Ass^{-1} [in - A Min]_s
CoarseTimer.Stop();
PromTimer.Start();
this->_Aggregates.PromoteFromSubspace(PleftMss_proj,tmp);// tmp = Q[in - A Min]
PromTimer.Stop();
std::cout << GridLogPerformance << "PcgM1 breakdown "<<std::endl;
std::cout << GridLogPerformance << "\tSmoother " << SmootherTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\tProj " << ProjTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\tCoarse " << CoarseTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\tProm " << PromTimer.Elapsed() <<std::endl;
axpy(out,1.0,Min,tmp); // Min+tmp axpy(out,1.0,Min,tmp); // Min+tmp
} }
virtual void Vstart(Field & x,const Field & src) virtual void M2(const Field & in, Field & out) {
{ out=in;
std::cout << GridLogMessage<<"HDCG: fPcg Vstart "<<std::endl; // Must override for Def2 only
// case PcgDef2:
// Pright(in,out);
// break;
}
virtual RealD M3(const Field & p, Field & mmp){
double d,dd;
HermOpAndNorm(p,mmp,d,dd);
return dd;
// Must override for Def1 only
// case PcgDef1:
// d=linop_d->Mprec(p,mmp,tmp,0,1);// Dag no
// linop_d->Mprec(mmp,mp,tmp,1);// Dag yes
// Pleft(mp,mmp);
// d=real(linop_d->inner(p,mmp));
}
virtual void VstartDef2(Field & xconst Field & src){
//case PcgDef2:
//case PcgAdef2:
//case PcgAdef2f:
//case PcgV11f:
/////////////////////////////////// ///////////////////////////////////
// Choose x_0 such that // Choose x_0 such that
// x_0 = guess + (A_ss^inv) r_s = guess + Ass_inv [src -Aguess] // x_0 = guess + (A_ss^inv) r_s = guess + Ass_inv [src -Aguess]
@ -522,78 +256,142 @@ class TwoLevelADEF2 : public TwoLevelCG<Field>
// = src_s - (A guess)_s - src_s + (A guess)_s // = src_s - (A guess)_s - src_s + (A guess)_s
// = 0 // = 0
/////////////////////////////////// ///////////////////////////////////
Field r(this->grid); Field r(grid);
Field mmp(this->grid); Field mmp(grid);
CoarseField PleftProj(this->coarsegrid);
CoarseField PleftMss_proj(this->coarsegrid); HermOp(x,mmp);
axpy (r, -1.0, mmp, src); // r_{-1} = src - A x
std::cout << GridLogMessage<<"HDCG: fPcg Vstart projecting "<<std::endl; ProjectToSubspace(r,PleftProj);
this->_Aggregates.ProjectToSubspace(PleftProj,src); ApplyInverseCG(PleftProj,PleftMss_proj); // Ass^{-1} r_s
std::cout << GridLogMessage<<"HDCG: fPcg Vstart coarse solve "<<std::endl; PromoteFromSubspace(PleftMss_proj,mmp);
this->_CoarseSolverPrecise(PleftProj,PleftMss_proj); // Ass^{-1} r_s x=x+mmp;
std::cout << GridLogMessage<<"HDCG: fPcg Vstart promote "<<std::endl;
this->_Aggregates.PromoteFromSubspace(PleftMss_proj,x);
} }
};
template<class Field>
class TwoLevelADEF1defl : public TwoLevelCG<Field>
{
public:
const std::vector<Field> &evec;
const std::vector<RealD> &eval;
TwoLevelADEF1defl(RealD tol,
Integer maxit,
LinearOperatorBase<Field> &FineLinop,
LinearFunction<Field> &Smoother,
std::vector<Field> &_evec,
std::vector<RealD> &_eval) :
TwoLevelCG<Field>(tol,maxit,FineLinop,Smoother,_evec[0].Grid()),
evec(_evec),
eval(_eval)
{};
// Can just inherit existing M2
// Can just inherit existing M3
// Simple vstart - do nothing
virtual void Vstart(Field & x,const Field & src){ virtual void Vstart(Field & x,const Field & src){
x=src; // Could apply Q return;
};
// Override PcgM1
virtual void PcgM1(Field & in, Field & out)
{
GRID_TRACE("EvecPreconditioner ");
int N=evec.size();
Field Pin(this->grid);
Field Qin(this->grid);
//MP + Q = M(1-AQ) + Q = M
// // If we are eigenvector deflating in coarse space
// // Q = Sum_i |phi_i> 1/lambda_i <phi_i|
// // A Q = Sum_i |phi_i> <phi_i|
// // M(1-AQ) = M(1-proj) + Q
Qin.Checkerboard()=in.Checkerboard();
Qin = Zero();
Pin = in;
for (int i=0;i<N;i++) {
const Field& tmp = evec[i];
auto ip = TensorRemove(innerProduct(tmp,in));
axpy(Qin, ip / eval[i],tmp,Qin);
axpy(Pin, -ip ,tmp,Pin);
}
this->_Smoother(Pin,out);
out = out + Qin;
} }
};
NAMESPACE_END(Grid); /////////////////////////////////////////////////////////////////////
// Only Def1 has non-trivial Vout. Override in Def1
/////////////////////////////////////////////////////////////////////
virtual void Vout (Field & in, Field & out,Field & src){
out = in;
//case PcgDef1:
// //Qb + PT x
// ProjectToSubspace(src,PleftProj);
// ApplyInverse(PleftProj,PleftMss_proj); // Ass^{-1} r_s
// PromoteFromSubspace(PleftMss_proj,tmp);
//
// Pright(in,out);
//
// linop_d->axpy(out,tmp,out,1.0);
// break;
}
////////////////////////////////////////////////////////////////////////////////////////////////
// Pright and Pleft are common to all implementations
////////////////////////////////////////////////////////////////////////////////////////////////
virtual void Pright(Field & in,Field & out){
// P_R = [ 1 0 ]
// [ -Mss^-1 Msb 0 ]
Field in_sbar(grid);
ProjectToSubspace(in,PleftProj);
PromoteFromSubspace(PleftProj,out);
axpy(in_sbar,-1.0,out,in); // in_sbar = in - in_s
HermOp(in_sbar,out);
ProjectToSubspace(out,PleftProj); // Mssbar in_sbar (project)
ApplyInverse (PleftProj,PleftMss_proj); // Mss^{-1} Mssbar
PromoteFromSubspace(PleftMss_proj,out); //
axpy(out,-1.0,out,in_sbar); // in_sbar - Mss^{-1} Mssbar in_sbar
}
virtual void Pleft (Field & in,Field & out){
// P_L = [ 1 -Mbs Mss^-1]
// [ 0 0 ]
Field in_sbar(grid);
Field tmp2(grid);
Field Mtmp(grid);
ProjectToSubspace(in,PleftProj);
PromoteFromSubspace(PleftProj,out);
axpy(in_sbar,-1.0,out,in); // in_sbar = in - in_s
ApplyInverse(PleftProj,PleftMss_proj); // Mss^{-1} in_s
PromoteFromSubspace(PleftMss_proj,out);
HermOp(out,Mtmp);
ProjectToSubspace(Mtmp,PleftProj); // Msbar s Mss^{-1}
PromoteFromSubspace(PleftProj,tmp2);
axpy(out,-1.0,tmp2,Mtmp);
axpy(out,-1.0,out,in_sbar); // in_sbar - Msbars Mss^{-1} in_s
}
}
template<class Field>
class TwoLevelFlexiblePcgADef2 : public TwoLevelFlexiblePcg<Field> {
public:
virtual void M(Field & in,Field & out,Field & tmp){
}
virtual void M1(Field & in, Field & out,Field & tmp,Field & mp){
}
virtual void M2(Field & in, Field & out){
}
virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp){
}
virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp){
}
}
/*
template<class Field>
class TwoLevelFlexiblePcgAD : public TwoLevelFlexiblePcg<Field> {
public:
virtual void M(Field & in,Field & out,Field & tmp);
virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
virtual void M2(Field & in, Field & out);
virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
}
template<class Field>
class TwoLevelFlexiblePcgDef1 : public TwoLevelFlexiblePcg<Field> {
public:
virtual void M(Field & in,Field & out,Field & tmp);
virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
virtual void M2(Field & in, Field & out);
virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
virtual void Vout (Field & in, Field & out,Field & src,Field & tmp);
}
template<class Field>
class TwoLevelFlexiblePcgDef2 : public TwoLevelFlexiblePcg<Field> {
public:
virtual void M(Field & in,Field & out,Field & tmp);
virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
virtual void M2(Field & in, Field & out);
virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
}
template<class Field>
class TwoLevelFlexiblePcgV11: public TwoLevelFlexiblePcg<Field> {
public:
virtual void M(Field & in,Field & out,Field & tmp);
virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
virtual void M2(Field & in, Field & out);
virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
}
*/
#endif #endif

View File

@ -1,734 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/AdefGeneric.h
Copyright (C) 2015
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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
/*
* Compared to Tang-2009: P=Pleft. P^T = PRight Q=MssInv.
* Script A = SolverMatrix
* Script P = Preconditioner
*
* Implement ADEF-2
*
* Vstart = P^Tx + Qb
* M1 = P^TM + Q
* M2=M3=1
*/
NAMESPACE_BEGIN(Grid);
template<class Field>
class TwoLevelCGmrhs
{
public:
RealD Tolerance;
Integer MaxIterations;
GridBase *grid;
// Fine operator, Smoother, CoarseSolver
LinearOperatorBase<Field> &_FineLinop;
LinearFunction<Field> &_Smoother;
MultiRHSBlockCGLinalg<Field> _BlockCGLinalg;
GridStopWatch ProjectTimer;
GridStopWatch PromoteTimer;
GridStopWatch DeflateTimer;
GridStopWatch CoarseTimer;
GridStopWatch FineTimer;
GridStopWatch SmoothTimer;
GridStopWatch InsertTimer;
/*
Field rrr;
Field sss;
Field qqq;
Field zzz;
*/
// more most opertor functions
TwoLevelCGmrhs(RealD tol,
Integer maxit,
LinearOperatorBase<Field> &FineLinop,
LinearFunction<Field> &Smoother,
GridBase *fine) :
Tolerance(tol),
MaxIterations(maxit),
_FineLinop(FineLinop),
_Smoother(Smoother)
/*
rrr(fine),
sss(fine),
qqq(fine),
zzz(fine)
*/
{
grid = fine;
};
// Vector case
virtual void operator() (std::vector<Field> &src, std::vector<Field> &x)
{
// SolveSingleSystem(src,x);
SolvePrecBlockCG(src,x);
}
////////////////////////////////////////////////////////////////////////////////////////////////////
// Thin QR factorisation (google it)
////////////////////////////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////////////////////////////
//Dimensions
// R_{ferm x Nblock} = Q_{ferm x Nblock} x C_{Nblock x Nblock} -> ferm x Nblock
//
// Rdag R = m_rr = Herm = L L^dag <-- Cholesky decomposition (LLT routine in Eigen)
//
// Q C = R => Q = R C^{-1}
//
// Want Ident = Q^dag Q = C^{-dag} R^dag R C^{-1} = C^{-dag} L L^dag C^{-1} = 1_{Nblock x Nblock}
//
// Set C = L^{dag}, and then Q^dag Q = ident
//
// Checks:
// Cdag C = Rdag R ; passes.
// QdagQ = 1 ; passes
////////////////////////////////////////////////////////////////////////////////////////////////////
void ThinQRfact (Eigen::MatrixXcd &m_zz,
Eigen::MatrixXcd &C,
Eigen::MatrixXcd &Cinv,
std::vector<Field> & Q,
std::vector<Field> & MQ,
const std::vector<Field> & Z,
const std::vector<Field> & MZ)
{
RealD t0=usecond();
_BlockCGLinalg.InnerProductMatrix(m_zz,MZ,Z);
RealD t1=usecond();
m_zz = 0.5*(m_zz+m_zz.adjoint());
Eigen::MatrixXcd L = m_zz.llt().matrixL();
C = L.adjoint();
Cinv = C.inverse();
RealD t3=usecond();
_BlockCGLinalg.MulMatrix( Q,Cinv,Z);
_BlockCGLinalg.MulMatrix(MQ,Cinv,MZ);
RealD t4=usecond();
std::cout << " ThinQRfact IP :"<< t1-t0<<" us"<<std::endl;
std::cout << " ThinQRfact Eigen :"<< t3-t1<<" us"<<std::endl;
std::cout << " ThinQRfact MulMat:"<< t4-t3<<" us"<<std::endl;
}
virtual void SolvePrecBlockCG (std::vector<Field> &src, std::vector<Field> &X)
{
std::cout << GridLogMessage<<"HDCG: mrhs fPrecBlockcg starting"<<std::endl;
src[0].Grid()->Barrier();
int nrhs = src.size();
// std::vector<RealD> f(nrhs);
// std::vector<RealD> rtzp(nrhs);
// std::vector<RealD> rtz(nrhs);
// std::vector<RealD> a(nrhs);
// std::vector<RealD> d(nrhs);
// std::vector<RealD> b(nrhs);
// std::vector<RealD> rptzp(nrhs);
////////////////////////////////////////////
//Initial residual computation & set up
////////////////////////////////////////////
std::vector<RealD> ssq(nrhs);
for(int rhs=0;rhs<nrhs;rhs++){
ssq[rhs]=norm2(src[rhs]); assert(ssq[rhs]!=0.0);
}
///////////////////////////
// Fields -- eliminate duplicates between fPcg and block cg
///////////////////////////
std::vector<Field> Mtmp(nrhs,grid);
std::vector<Field> tmp(nrhs,grid);
std::vector<Field> Z(nrhs,grid); // Rename Z to R
std::vector<Field> MZ(nrhs,grid); // Rename MZ to Z
std::vector<Field> Q(nrhs,grid); //
std::vector<Field> MQ(nrhs,grid); // Rename to P
std::vector<Field> D(nrhs,grid);
std::vector<Field> AD(nrhs,grid);
/************************************************************************
* Preconditioned Block conjugate gradient rQ
* Generalise Sebastien Birk Thesis, after Dubrulle 2001.
* Introduce preconditioning following Saad Ch9
************************************************************************
* Dimensions:
*
* X,B etc... ==(Nferm x nrhs)
* Matrix A==(Nferm x Nferm)
*
* Nferm = Nspin x Ncolour x Ncomplex x Nlattice_site
* QC => Thin QR factorisation (google it)
*
* R = B-AX
* Z = Mi R
* QC = Z
* D = Q
* for k:
* R = AD
* Z = Mi R
* M = [D^dag R]^{-1}
* X = X + D M C
* QS = Q - Z.M
* D = Q + D S^dag
* C = S C
*/
Eigen::MatrixXcd m_DZ = Eigen::MatrixXcd::Identity(nrhs,nrhs);
Eigen::MatrixXcd m_M = Eigen::MatrixXcd::Identity(nrhs,nrhs);
Eigen::MatrixXcd m_zz = Eigen::MatrixXcd::Zero(nrhs,nrhs);
Eigen::MatrixXcd m_rr = Eigen::MatrixXcd::Zero(nrhs,nrhs);
Eigen::MatrixXcd m_C = Eigen::MatrixXcd::Zero(nrhs,nrhs);
Eigen::MatrixXcd m_Cinv = Eigen::MatrixXcd::Zero(nrhs,nrhs);
Eigen::MatrixXcd m_S = Eigen::MatrixXcd::Zero(nrhs,nrhs);
Eigen::MatrixXcd m_Sinv = Eigen::MatrixXcd::Zero(nrhs,nrhs);
Eigen::MatrixXcd m_tmp = Eigen::MatrixXcd::Identity(nrhs,nrhs);
Eigen::MatrixXcd m_tmp1 = Eigen::MatrixXcd::Identity(nrhs,nrhs);
GridStopWatch HDCGTimer;
//////////////////////////
// x0 = Vstart -- possibly modify guess
//////////////////////////
Vstart(X,src);
//////////////////////////
// R = B-AX
//////////////////////////
for(int rhs=0;rhs<nrhs;rhs++){
// r0 = b -A x0
_FineLinop.HermOp(X[rhs],tmp[rhs]);
axpy (Z[rhs], -1.0,tmp[rhs], src[rhs]); // Computes R=Z=src - A X0
}
//////////////////////////////////
// Compute MZ = M1 Z = M1 B - M1 A x0
//////////////////////////////////
PcgM1(Z,MZ);
//////////////////////////////////
// QC = Z
//////////////////////////////////
ThinQRfact (m_zz, m_C, m_Cinv, Q, MQ, Z, MZ);
//////////////////////////////////
// D=MQ
//////////////////////////////////
for(int b=0;b<nrhs;b++) D[b]=MQ[b]; // LLT rotation of the MZ basis of search dirs
std::cout << GridLogMessage<<"PrecBlockCGrQ vec computed initial residual and QR fact " <<std::endl;
ProjectTimer.Reset();
PromoteTimer.Reset();
DeflateTimer.Reset();
CoarseTimer.Reset();
SmoothTimer.Reset();
FineTimer.Reset();
InsertTimer.Reset();
GridStopWatch M1Timer;
GridStopWatch M2Timer;
GridStopWatch M3Timer;
GridStopWatch LinalgTimer;
GridStopWatch InnerProdTimer;
HDCGTimer.Start();
std::vector<RealD> rn(nrhs);
for (int k=0;k<=MaxIterations;k++){
////////////////////
// Z = AD
////////////////////
M3Timer.Start();
for(int b=0;b<nrhs;b++) _FineLinop.HermOp(D[b], Z[b]);
M3Timer.Stop();
////////////////////
// MZ = M1 Z <==== the Multigrid preconditioner
////////////////////
M1Timer.Start();
PcgM1(Z,MZ);
M1Timer.Stop();
FineTimer.Start();
////////////////////
// M = [D^dag Z]^{-1} = (<Ddag MZ>_M)^{-1} inner prod, generalising Saad derivation of Precon CG
////////////////////
InnerProdTimer.Start();
_BlockCGLinalg.InnerProductMatrix(m_DZ,D,Z);
InnerProdTimer.Stop();
m_M = m_DZ.inverse();
///////////////////////////
// X = X + D MC
///////////////////////////
m_tmp = m_M * m_C;
LinalgTimer.Start();
_BlockCGLinalg.MaddMatrix(X,m_tmp, D,X); // D are the search directions and X takes the updates
LinalgTimer.Stop();
///////////////////////////
// QS = Q - M Z
// (MQ) S = MQ - M (M1Z)
///////////////////////////
LinalgTimer.Start();
_BlockCGLinalg.MaddMatrix(tmp ,m_M, Z, Q,-1.0);
_BlockCGLinalg.MaddMatrix(Mtmp,m_M,MZ,MQ,-1.0);
ThinQRfact (m_zz, m_S, m_Sinv, Q, MQ, tmp, Mtmp);
LinalgTimer.Stop();
////////////////////////////
// D = MQ + D S^dag
////////////////////////////
m_tmp = m_S.adjoint();
LinalgTimer.Start();
_BlockCGLinalg.MaddMatrix(D,m_tmp,D,MQ);
LinalgTimer.Stop();
////////////////////////////
// C = S C
////////////////////////////
m_C = m_S*m_C;
////////////////////////////
// convergence monitor
////////////////////////////
m_rr = m_C.adjoint() * m_C;
FineTimer.Stop();
RealD max_resid=0;
RealD rrsum=0;
RealD sssum=0;
RealD rr;
for(int b=0;b<nrhs;b++) {
rrsum+=real(m_rr(b,b));
sssum+=ssq[b];
rr = real(m_rr(b,b))/ssq[b];
if ( rr > max_resid ) max_resid = rr;
}
std::cout << GridLogMessage <<
"\t Prec BlockCGrQ Iteration "<<k<<" ave resid "<< std::sqrt(rrsum/sssum) << " max "<< std::sqrt(max_resid) <<std::endl;
if ( max_resid < Tolerance*Tolerance ) {
HDCGTimer.Stop();
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ converged in "<<k<<" iterations and "<<HDCGTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Linalg "<<LinalgTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : fine H "<<M3Timer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : prec M1 "<<M1Timer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"**** M1 breakdown:"<<std::endl;
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Project "<<ProjectTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Promote "<<PromoteTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Deflate "<<DeflateTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Coarse "<<CoarseTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Fine "<<FineTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Smooth "<<SmoothTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Insert "<<InsertTimer.Elapsed()<<std::endl;;
for(int rhs=0;rhs<nrhs;rhs++){
_FineLinop.HermOp(X[rhs],tmp[rhs]);
Field mytmp(grid);
axpy(mytmp,-1.0,src[rhs],tmp[rhs]);
RealD xnorm = sqrt(norm2(X[rhs]));
RealD srcnorm = sqrt(norm2(src[rhs]));
RealD tmpnorm = sqrt(norm2(mytmp));
RealD true_residual = tmpnorm/srcnorm;
std::cout<<GridLogMessage
<<"HDCG: true residual ["<<rhs<<"] is "<<true_residual
<<" solution "<<xnorm
<<" source "<<srcnorm
<<std::endl;
}
return;
}
}
HDCGTimer.Stop();
std::cout<<GridLogMessage<<"HDCG: PrecBlockCGrQ not converged "<<HDCGTimer.Elapsed()<<std::endl;
assert(0);
}
virtual void SolveSingleSystem (std::vector<Field> &src, std::vector<Field> &x)
{
std::cout << GridLogMessage<<"HDCG: mrhs fPcg starting"<<std::endl;
src[0].Grid()->Barrier();
int nrhs = src.size();
std::vector<RealD> f(nrhs);
std::vector<RealD> rtzp(nrhs);
std::vector<RealD> rtz(nrhs);
std::vector<RealD> a(nrhs);
std::vector<RealD> d(nrhs);
std::vector<RealD> b(nrhs);
std::vector<RealD> rptzp(nrhs);
/////////////////////////////
// Set up history vectors
/////////////////////////////
int mmax = 3;
std::vector<std::vector<Field> > p(nrhs); for(int r=0;r<nrhs;r++) p[r].resize(mmax,grid);
std::vector<std::vector<Field> > mmp(nrhs); for(int r=0;r<nrhs;r++) mmp[r].resize(mmax,grid);
std::vector<std::vector<RealD> > pAp(nrhs); for(int r=0;r<nrhs;r++) pAp[r].resize(mmax);
std::vector<Field> z(nrhs,grid);
std::vector<Field> mp (nrhs,grid);
std::vector<Field> r (nrhs,grid);
std::vector<Field> mu (nrhs,grid);
//Initial residual computation & set up
std::vector<RealD> src_nrm(nrhs);
for(int rhs=0;rhs<nrhs;rhs++) {
src_nrm[rhs]=norm2(src[rhs]);
assert(src_nrm[rhs]!=0.0);
}
std::vector<RealD> tn(nrhs);
GridStopWatch HDCGTimer;
//////////////////////////
// x0 = Vstart -- possibly modify guess
//////////////////////////
Vstart(x,src);
for(int rhs=0;rhs<nrhs;rhs++){
// r0 = b -A x0
_FineLinop.HermOp(x[rhs],mmp[rhs][0]);
axpy (r[rhs], -1.0,mmp[rhs][0], src[rhs]); // Recomputes r=src-Ax0
}
//////////////////////////////////
// Compute z = M1 x
//////////////////////////////////
// This needs a multiRHS version for acceleration
PcgM1(r,z);
std::vector<RealD> ssq(nrhs);
std::vector<RealD> rsq(nrhs);
std::vector<Field> pp(nrhs,grid);
for(int rhs=0;rhs<nrhs;rhs++){
rtzp[rhs] =real(innerProduct(r[rhs],z[rhs]));
p[rhs][0]=z[rhs];
ssq[rhs]=norm2(src[rhs]);
rsq[rhs]= ssq[rhs]*Tolerance*Tolerance;
// std::cout << GridLogMessage<<"mrhs HDCG: "<<rhs<<" k=0 residual "<<rtzp[rhs]<<" rsq "<<rsq[rhs]<<"\n";
}
ProjectTimer.Reset();
PromoteTimer.Reset();
DeflateTimer.Reset();
CoarseTimer.Reset();
SmoothTimer.Reset();
FineTimer.Reset();
InsertTimer.Reset();
GridStopWatch M1Timer;
GridStopWatch M2Timer;
GridStopWatch M3Timer;
GridStopWatch LinalgTimer;
HDCGTimer.Start();
std::vector<RealD> rn(nrhs);
for (int k=0;k<=MaxIterations;k++){
int peri_k = k % mmax;
int peri_kp = (k+1) % mmax;
for(int rhs=0;rhs<nrhs;rhs++){
rtz[rhs]=rtzp[rhs];
M3Timer.Start();
d[rhs]= PcgM3(p[rhs][peri_k],mmp[rhs][peri_k]);
M3Timer.Stop();
a[rhs] = rtz[rhs]/d[rhs];
LinalgTimer.Start();
// Memorise this
pAp[rhs][peri_k] = d[rhs];
axpy(x[rhs],a[rhs],p[rhs][peri_k],x[rhs]);
rn[rhs] = axpy_norm(r[rhs],-a[rhs],mmp[rhs][peri_k],r[rhs]);
LinalgTimer.Stop();
}
// Compute z = M x (for *all* RHS)
M1Timer.Start();
PcgM1(r,z);
M1Timer.Stop();
RealD max_rn=0.0;
LinalgTimer.Start();
for(int rhs=0;rhs<nrhs;rhs++){
rtzp[rhs] =real(innerProduct(r[rhs],z[rhs]));
// std::cout << GridLogMessage<<"HDCG::fPcg rhs"<<rhs<<" iteration "<<k<<" : inner rtzp "<<rtzp[rhs]<<"\n";
mu[rhs]=z[rhs];
p[rhs][peri_kp]=mu[rhs];
// Standard search direction p == z + b p
b[rhs] = (rtzp[rhs])/rtz[rhs];
int northog = (k>mmax-1)?(mmax-1):k; // This is the fCG-Tr(mmax-1) algorithm
for(int back=0; back < northog; back++){
int peri_back = (k-back)%mmax;
RealD pbApk= real(innerProduct(mmp[rhs][peri_back],p[rhs][peri_kp]));
RealD beta = -pbApk/pAp[rhs][peri_back];
axpy(p[rhs][peri_kp],beta,p[rhs][peri_back],p[rhs][peri_kp]);
}
RealD rrn=sqrt(rn[rhs]/ssq[rhs]);
RealD rtn=sqrt(rtz[rhs]/ssq[rhs]);
RealD rtnp=sqrt(rtzp[rhs]/ssq[rhs]);
std::cout<<GridLogMessage<<"HDCG:fPcg rhs "<<rhs<<" k= "<<k<<" residual = "<<rrn<<"\n";
if ( rrn > max_rn ) max_rn = rrn;
}
LinalgTimer.Stop();
// Stopping condition based on worst case
if ( max_rn <= Tolerance ) {
HDCGTimer.Stop();
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg converged in "<<k<<" iterations and "<<HDCGTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Linalg "<<LinalgTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : fine M3 "<<M3Timer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : prec M1 "<<M1Timer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"**** M1 breakdown:"<<std::endl;
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Project "<<ProjectTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Promote "<<PromoteTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Deflate "<<DeflateTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Coarse "<<CoarseTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Fine "<<FineTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Smooth "<<SmoothTimer.Elapsed()<<std::endl;;
std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Insert "<<InsertTimer.Elapsed()<<std::endl;;
for(int rhs=0;rhs<nrhs;rhs++){
_FineLinop.HermOp(x[rhs],mmp[rhs][0]);
Field tmp(grid);
axpy(tmp,-1.0,src[rhs],mmp[rhs][0]);
RealD mmpnorm = sqrt(norm2(mmp[rhs][0]));
RealD xnorm = sqrt(norm2(x[rhs]));
RealD srcnorm = sqrt(norm2(src[rhs]));
RealD tmpnorm = sqrt(norm2(tmp));
RealD true_residual = tmpnorm/srcnorm;
std::cout<<GridLogMessage
<<"HDCG: true residual ["<<rhs<<"] is "<<true_residual
<<" solution "<<xnorm
<<" source "<<srcnorm
<<" mmp "<<mmpnorm
<<std::endl;
}
return;
}
}
HDCGTimer.Stop();
std::cout<<GridLogMessage<<"HDCG: not converged "<<HDCGTimer.Elapsed()<<std::endl;
for(int rhs=0;rhs<nrhs;rhs++){
RealD xnorm = sqrt(norm2(x[rhs]));
RealD srcnorm = sqrt(norm2(src[rhs]));
std::cout<<GridLogMessage<<"HDCG: non-converged solution "<<xnorm<<" source "<<srcnorm<<std::endl;
}
}
public:
virtual void PcgM1(std::vector<Field> & in,std::vector<Field> & out) = 0;
virtual void Vstart(std::vector<Field> & x,std::vector<Field> & src) = 0;
virtual void PcgM2(const Field & in, Field & out) {
out=in;
}
virtual RealD PcgM3(const Field & p, Field & mmp){
RealD dd;
_FineLinop.HermOp(p,mmp);
ComplexD dot = innerProduct(p,mmp);
dd=real(dot);
return dd;
}
};
template<class Field, class CoarseField>
class TwoLevelADEF2mrhs : public TwoLevelCGmrhs<Field>
{
public:
GridBase *coarsegrid;
GridBase *coarsegridmrhs;
LinearFunction<CoarseField> &_CoarseSolverMrhs;
LinearFunction<CoarseField> &_CoarseSolverPreciseMrhs;
MultiRHSBlockProject<Field> &_Projector;
MultiRHSDeflation<CoarseField> &_Deflator;
TwoLevelADEF2mrhs(RealD tol,
Integer maxit,
LinearOperatorBase<Field> &FineLinop,
LinearFunction<Field> &Smoother,
LinearFunction<CoarseField> &CoarseSolverMrhs,
LinearFunction<CoarseField> &CoarseSolverPreciseMrhs,
MultiRHSBlockProject<Field> &Projector,
MultiRHSDeflation<CoarseField> &Deflator,
GridBase *_coarsemrhsgrid) :
TwoLevelCGmrhs<Field>(tol, maxit,FineLinop,Smoother,Projector.fine_grid),
_CoarseSolverMrhs(CoarseSolverMrhs),
_CoarseSolverPreciseMrhs(CoarseSolverPreciseMrhs),
_Projector(Projector),
_Deflator(Deflator)
{
coarsegrid = Projector.coarse_grid;
coarsegridmrhs = _coarsemrhsgrid;// Thi could be in projector
};
// Override Vstart
virtual void Vstart(std::vector<Field> & x,std::vector<Field> & src)
{
int nrhs=x.size();
///////////////////////////////////
// Choose x_0 such that
// x_0 = guess + (A_ss^inv) r_s = guess + Ass_inv [src -Aguess]
// = [1 - Ass_inv A] Guess + Assinv src
// = P^T guess + Assinv src
// = Vstart [Tang notation]
// This gives:
// W^T (src - A x_0) = src_s - A guess_s - r_s
// = src_s - (A guess)_s - src_s + (A guess)_s
// = 0
///////////////////////////////////
std::vector<CoarseField> PleftProj(nrhs,this->coarsegrid);
std::vector<CoarseField> PleftMss_proj(nrhs,this->coarsegrid);
CoarseField PleftProjMrhs(this->coarsegridmrhs);
CoarseField PleftMss_projMrhs(this->coarsegridmrhs);
this->_Projector.blockProject(src,PleftProj);
this->_Deflator.DeflateSources(PleftProj,PleftMss_proj);
for(int rhs=0;rhs<nrhs;rhs++) {
InsertSliceFast(PleftProj[rhs],PleftProjMrhs,rhs,0);
InsertSliceFast(PleftMss_proj[rhs],PleftMss_projMrhs,rhs,0); // the guess
}
this->_CoarseSolverPreciseMrhs(PleftProjMrhs,PleftMss_projMrhs); // Ass^{-1} r_s
for(int rhs=0;rhs<nrhs;rhs++) {
ExtractSliceFast(PleftMss_proj[rhs],PleftMss_projMrhs,rhs,0);
}
this->_Projector.blockPromote(x,PleftMss_proj);
}
virtual void PcgM1(std::vector<Field> & in,std::vector<Field> & out){
int nrhs=in.size();
// [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
std::vector<Field> tmp(nrhs,this->grid);
std::vector<Field> Min(nrhs,this->grid);
std::vector<CoarseField> PleftProj(nrhs,this->coarsegrid);
std::vector<CoarseField> PleftMss_proj(nrhs,this->coarsegrid);
CoarseField PleftProjMrhs(this->coarsegridmrhs);
CoarseField PleftMss_projMrhs(this->coarsegridmrhs);
// this->rrr=in[0];
#undef SMOOTHER_BLOCK_SOLVE
#if SMOOTHER_BLOCK_SOLVE
this->SmoothTimer.Start();
this->_Smoother(in,Min);
this->SmoothTimer.Stop();
#else
for(int rhs=0;rhs<nrhs;rhs++) {
this->SmoothTimer.Start();
this->_Smoother(in[rhs],Min[rhs]);
this->SmoothTimer.Stop();
}
#endif
// this->sss=Min[0];
for(int rhs=0;rhs<nrhs;rhs++) {
this->FineTimer.Start();
this->_FineLinop.HermOp(Min[rhs],out[rhs]);
axpy(tmp[rhs],-1.0,out[rhs],in[rhs]); // resid = in - A Min
this->FineTimer.Stop();
}
this->ProjectTimer.Start();
this->_Projector.blockProject(tmp,PleftProj);
this->ProjectTimer.Stop();
this->DeflateTimer.Start();
this->_Deflator.DeflateSources(PleftProj,PleftMss_proj);
this->DeflateTimer.Stop();
this->InsertTimer.Start();
for(int rhs=0;rhs<nrhs;rhs++) {
InsertSliceFast(PleftProj[rhs],PleftProjMrhs,rhs,0);
InsertSliceFast(PleftMss_proj[rhs],PleftMss_projMrhs,rhs,0); // the guess
}
this->InsertTimer.Stop();
this->CoarseTimer.Start();
this->_CoarseSolverMrhs(PleftProjMrhs,PleftMss_projMrhs); // Ass^{-1} [in - A Min]_s
this->CoarseTimer.Stop();
this->InsertTimer.Start();
for(int rhs=0;rhs<nrhs;rhs++) {
ExtractSliceFast(PleftMss_proj[rhs],PleftMss_projMrhs,rhs,0);
}
this->InsertTimer.Stop();
this->PromoteTimer.Start();
this->_Projector.blockPromote(tmp,PleftMss_proj);// tmp= Q[in - A Min]
this->PromoteTimer.Stop();
this->FineTimer.Start();
// this->qqq=tmp[0];
for(int rhs=0;rhs<nrhs;rhs++) {
axpy(out[rhs],1.0,Min[rhs],tmp[rhs]); // Min+tmp
}
// this->zzz=out[0];
this->FineTimer.Stop();
}
};
NAMESPACE_END(Grid);

View File

@ -1,234 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/BiCGSTAB.h
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: paboyle <paboyle@ph.ed.ac.uk>
Author: juettner <juettner@soton.ac.uk>
Author: David Murphy <djmurphy@mit.edu>
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 */
#ifndef GRID_BICGSTAB_H
#define GRID_BICGSTAB_H
NAMESPACE_BEGIN(Grid);
/////////////////////////////////////////////////////////////
// Base classes for iterative processes based on operators
// single input vec, single output vec.
/////////////////////////////////////////////////////////////
template <class Field>
class BiCGSTAB : public OperatorFunction<Field>
{
public:
using OperatorFunction<Field>::operator();
bool ErrorOnNoConverge; // throw an assert when the CG fails to converge.
// Defaults true.
RealD Tolerance;
Integer MaxIterations;
Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
BiCGSTAB(RealD tol, Integer maxit, bool err_on_no_conv = true) :
Tolerance(tol), MaxIterations(maxit), ErrorOnNoConverge(err_on_no_conv){};
void operator()(LinearOperatorBase<Field>& Linop, const Field& src, Field& psi)
{
psi.Checkerboard() = src.Checkerboard();
conformable(psi, src);
RealD cp(0), rho(1), rho_prev(0), alpha(1), beta(0), omega(1);
RealD a(0), bo(0), b(0), ssq(0);
Field p(src);
Field r(src);
Field rhat(src);
Field v(src);
Field s(src);
Field t(src);
Field h(src);
v = Zero();
p = Zero();
// Initial residual computation & set up
RealD guess = norm2(psi);
assert(std::isnan(guess) == 0);
Linop.Op(psi, v);
b = norm2(v);
r = src - v;
rhat = r;
a = norm2(r);
ssq = norm2(src);
std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB: guess " << guess << std::endl;
std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB: src " << ssq << std::endl;
std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB: mp " << b << std::endl;
std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB: r " << a << std::endl;
RealD rsq = Tolerance * Tolerance * ssq;
// Check if guess is really REALLY good :)
if(a <= rsq){ return; }
std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB: k=0 residual " << a << " target " << rsq << std::endl;
GridStopWatch LinalgTimer;
GridStopWatch InnerTimer;
GridStopWatch AxpyNormTimer;
GridStopWatch LinearCombTimer;
GridStopWatch MatrixTimer;
GridStopWatch SolverTimer;
SolverTimer.Start();
int k;
for (k = 1; k <= MaxIterations; k++)
{
rho_prev = rho;
LinalgTimer.Start();
InnerTimer.Start();
ComplexD Crho = innerProduct(rhat,r);
InnerTimer.Stop();
rho = Crho.real();
beta = (rho / rho_prev) * (alpha / omega);
LinearCombTimer.Start();
bo = beta * omega;
{
autoView( p_v , p, AcceleratorWrite);
autoView( r_v , r, AcceleratorRead);
autoView( v_v , v, AcceleratorRead);
accelerator_for(ss, p_v.size(), Field::vector_object::Nsimd(),{
coalescedWrite(p_v[ss], beta*p_v(ss) - bo*v_v(ss) + r_v(ss));
});
}
LinearCombTimer.Stop();
LinalgTimer.Stop();
MatrixTimer.Start();
Linop.Op(p,v);
MatrixTimer.Stop();
LinalgTimer.Start();
InnerTimer.Start();
ComplexD Calpha = innerProduct(rhat,v);
InnerTimer.Stop();
alpha = rho / Calpha.real();
LinearCombTimer.Start();
{
autoView( p_v , p, AcceleratorRead);
autoView( r_v , r, AcceleratorRead);
autoView( v_v , v, AcceleratorRead);
autoView( psi_v,psi, AcceleratorRead);
autoView( h_v , h, AcceleratorWrite);
autoView( s_v , s, AcceleratorWrite);
accelerator_for(ss, h_v.size(), Field::vector_object::Nsimd(),{
coalescedWrite(h_v[ss], alpha*p_v(ss) + psi_v(ss));
});
accelerator_for(ss, s_v.size(), Field::vector_object::Nsimd(),{
coalescedWrite(s_v[ss], -alpha*v_v(ss) + r_v(ss));
});
}
LinearCombTimer.Stop();
LinalgTimer.Stop();
MatrixTimer.Start();
Linop.Op(s,t);
MatrixTimer.Stop();
LinalgTimer.Start();
InnerTimer.Start();
ComplexD Comega = innerProduct(t,s);
InnerTimer.Stop();
omega = Comega.real() / norm2(t);
LinearCombTimer.Start();
{
autoView( psi_v,psi, AcceleratorWrite);
autoView( r_v , r, AcceleratorWrite);
autoView( h_v , h, AcceleratorRead);
autoView( s_v , s, AcceleratorRead);
autoView( t_v , t, AcceleratorRead);
accelerator_for(ss, psi_v.size(), Field::vector_object::Nsimd(),{
coalescedWrite(psi_v[ss], h_v(ss) + omega * s_v(ss));
coalescedWrite(r_v[ss], -omega * t_v(ss) + s_v(ss));
});
}
LinearCombTimer.Stop();
cp = norm2(r);
LinalgTimer.Stop();
std::cout << GridLogIterative << "BiCGSTAB: Iteration " << k << " residual " << sqrt(cp/ssq) << " target " << Tolerance << std::endl;
// Stopping condition
if(cp <= rsq)
{
SolverTimer.Stop();
Linop.Op(psi, v);
p = v - src;
RealD srcnorm = sqrt(norm2(src));
RealD resnorm = sqrt(norm2(p));
RealD true_residual = resnorm / srcnorm;
std::cout << GridLogMessage << "BiCGSTAB Converged on iteration " << k << std::endl;
std::cout << GridLogMessage << "\tComputed residual " << sqrt(cp/ssq) << std::endl;
std::cout << GridLogMessage << "\tTrue residual " << true_residual << std::endl;
std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
std::cout << GridLogMessage << "Time breakdown " << std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "\tLinalg " << LinalgTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "\tInner " << InnerTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "\tAxpyNorm " << AxpyNormTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "\tLinearComb " << LinearCombTimer.Elapsed() << std::endl;
if(ErrorOnNoConverge){ assert(true_residual / Tolerance < 10000.0); }
IterationsToComplete = k;
return;
}
}
std::cout << GridLogMessage << "BiCGSTAB did NOT converge" << std::endl;
if(ErrorOnNoConverge){ assert(0); }
IterationsToComplete = k;
}
};
NAMESPACE_END(Grid);
#endif

View File

@ -1,159 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/BiCGSTABMixedPrec.h
Copyright (C) 2015
Author: Christopher Kelly <ckelly@phys.columbia.edu>
Author: David Murphy <djmurphy@mit.edu>
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 */
#ifndef GRID_BICGSTAB_MIXED_PREC_H
#define GRID_BICGSTAB_MIXED_PREC_H
NAMESPACE_BEGIN(Grid);
// Mixed precision restarted defect correction BiCGSTAB
template<class FieldD, class FieldF, typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0, typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0>
class MixedPrecisionBiCGSTAB : public LinearFunction<FieldD>
{
public:
using LinearFunction<FieldD>::operator();
RealD Tolerance;
RealD InnerTolerance; // Initial tolerance for inner CG. Defaults to Tolerance but can be changed
Integer MaxInnerIterations;
Integer MaxOuterIterations;
GridBase* SinglePrecGrid; // Grid for single-precision fields
RealD OuterLoopNormMult; // Stop the outer loop and move to a final double prec solve when the residual is OuterLoopNormMult * Tolerance
LinearOperatorBase<FieldF> &Linop_f;
LinearOperatorBase<FieldD> &Linop_d;
Integer TotalInnerIterations; //Number of inner CG iterations
Integer TotalOuterIterations; //Number of restarts
Integer TotalFinalStepIterations; //Number of CG iterations in final patch-up step
//Option to speed up *inner single precision* solves using a LinearFunction that produces a guess
LinearFunction<FieldF> *guesser;
MixedPrecisionBiCGSTAB(RealD tol, Integer maxinnerit, Integer maxouterit, GridBase* _sp_grid,
LinearOperatorBase<FieldF>& _Linop_f, LinearOperatorBase<FieldD>& _Linop_d) :
Linop_f(_Linop_f), Linop_d(_Linop_d), Tolerance(tol), InnerTolerance(tol), MaxInnerIterations(maxinnerit),
MaxOuterIterations(maxouterit), SinglePrecGrid(_sp_grid), OuterLoopNormMult(100.), guesser(NULL) {};
void useGuesser(LinearFunction<FieldF>& g){
guesser = &g;
}
void operator() (const FieldD& src_d_in, FieldD& sol_d)
{
TotalInnerIterations = 0;
GridStopWatch TotalTimer;
TotalTimer.Start();
int cb = src_d_in.Checkerboard();
sol_d.Checkerboard() = cb;
RealD src_norm = norm2(src_d_in);
RealD stop = src_norm * Tolerance*Tolerance;
GridBase* DoublePrecGrid = src_d_in.Grid();
FieldD tmp_d(DoublePrecGrid);
tmp_d.Checkerboard() = cb;
FieldD tmp2_d(DoublePrecGrid);
tmp2_d.Checkerboard() = cb;
FieldD src_d(DoublePrecGrid);
src_d = src_d_in; //source for next inner iteration, computed from residual during operation
RealD inner_tol = InnerTolerance;
FieldF src_f(SinglePrecGrid);
src_f.Checkerboard() = cb;
FieldF sol_f(SinglePrecGrid);
sol_f.Checkerboard() = cb;
BiCGSTAB<FieldF> CG_f(inner_tol, MaxInnerIterations);
CG_f.ErrorOnNoConverge = false;
GridStopWatch InnerCGtimer;
GridStopWatch PrecChangeTimer;
Integer &outer_iter = TotalOuterIterations; //so it will be equal to the final iteration count
for(outer_iter = 0; outer_iter < MaxOuterIterations; outer_iter++)
{
// Compute double precision rsd and also new RHS vector.
Linop_d.Op(sol_d, tmp_d);
RealD norm = axpy_norm(src_d, -1., tmp_d, src_d_in); //src_d is residual vector
std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Outer iteration " << outer_iter << " residual " << norm << " target " << stop << std::endl;
if(norm < OuterLoopNormMult * stop){
std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Outer iteration converged on iteration " << outer_iter << std::endl;
break;
}
while(norm * inner_tol * inner_tol < stop){ inner_tol *= 2; } // inner_tol = sqrt(stop/norm) ??
PrecChangeTimer.Start();
precisionChange(src_f, src_d);
PrecChangeTimer.Stop();
sol_f = Zero();
//Optionally improve inner solver guess (eg using known eigenvectors)
if(guesser != NULL){ (*guesser)(src_f, sol_f); }
//Inner CG
CG_f.Tolerance = inner_tol;
InnerCGtimer.Start();
CG_f(Linop_f, src_f, sol_f);
InnerCGtimer.Stop();
TotalInnerIterations += CG_f.IterationsToComplete;
//Convert sol back to double and add to double prec solution
PrecChangeTimer.Start();
precisionChange(tmp_d, sol_f);
PrecChangeTimer.Stop();
axpy(sol_d, 1.0, tmp_d, sol_d);
}
//Final trial CG
std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Starting final patch-up double-precision solve" << std::endl;
BiCGSTAB<FieldD> CG_d(Tolerance, MaxInnerIterations);
CG_d(Linop_d, src_d_in, sol_d);
TotalFinalStepIterations = CG_d.IterationsToComplete;
TotalTimer.Stop();
std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Inner CG iterations " << TotalInnerIterations << " Restarts " << TotalOuterIterations << " Final CG iterations " << TotalFinalStepIterations << std::endl;
std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Total time " << TotalTimer.Elapsed() << " Precision change " << PrecChangeTimer.Elapsed() << " Inner CG total " << InnerCGtimer.Elapsed() << std::endl;
}
};
NAMESPACE_END(Grid);
#endif

View File

@ -27,63 +27,13 @@ See the full license in the file "LICENSE" in the top level distribution
directory directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#pragma once #ifndef GRID_BLOCK_CONJUGATE_GRADIENT_H
#define GRID_BLOCK_CONJUGATE_GRADIENT_H
NAMESPACE_BEGIN(Grid);
template<class Field>
void InnerProductMatrix(Eigen::MatrixXcd &m , const std::vector<Field> &X, const std::vector<Field> &Y){
typedef typename Field::scalar_type scomplex;
int Nblock = X.size();
for(int b=0;b<Nblock;b++){
for(int bp=0;bp<Nblock;bp++) {
m(b,bp) = innerProduct(X[b],Y[bp]);
}}
}
template<class Field>
void MaddMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X,const std::vector<Field> &Y,RealD scale=1.0){
// Should make this cache friendly with site outermost, parallel_for
// Deal with case AP aliases with either Y or X
//
//Could pack "X" and "AP" into a Nblock x Volume dense array.
// AP(Nrhs x vol) = Y(Nrhs x vol) + scale * m(nrhs x nrhs) * X(nrhs*vol)
typedef typename Field::scalar_type scomplex;
int Nblock = AP.size();
std::vector<Field> tmp(Nblock,X[0]);
for(int b=0;b<Nblock;b++){
tmp[b] = Y[b];
for(int bp=0;bp<Nblock;bp++) {
tmp[b] = tmp[b] +scomplex(scale*m(bp,b))*X[bp];
}
}
for(int b=0;b<Nblock;b++){
AP[b] = tmp[b];
}
}
template<class Field>
void MulMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X){
// Should make this cache friendly with site outermost, parallel_for
typedef typename Field::scalar_type scomplex;
int Nblock = AP.size();
for(int b=0;b<Nblock;b++){
AP[b] = Zero();
for(int bp=0;bp<Nblock;bp++) {
AP[b] += scomplex(m(bp,b))*X[bp];
}
}
}
template<class Field>
double normv(const std::vector<Field> &P){
int Nblock = P.size();
double nn = 0.0;
for(int b=0;b<Nblock;b++) {
nn+=norm2(P[b]);
}
return nn;
}
enum BlockCGtype { BlockCG, BlockCGrQ, CGmultiRHS, BlockCGVec, BlockCGrQVec }; namespace Grid {
enum BlockCGtype { BlockCG, BlockCGrQ, CGmultiRHS };
////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////
// Block conjugate gradient. Dimension zero should be the block direction // Block conjugate gradient. Dimension zero should be the block direction
@ -92,6 +42,7 @@ template <class Field>
class BlockConjugateGradient : public OperatorFunction<Field> { class BlockConjugateGradient : public OperatorFunction<Field> {
public: public:
typedef typename Field::scalar_type scomplex; typedef typename Field::scalar_type scomplex;
int blockDim ; int blockDim ;
@ -103,16 +54,21 @@ class BlockConjugateGradient : public OperatorFunction<Field> {
RealD Tolerance; RealD Tolerance;
Integer MaxIterations; Integer MaxIterations;
Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
Integer PrintInterval; //GridLogMessages or Iterative
RealD TrueResidual;
BlockConjugateGradient(BlockCGtype cgtype,int _Orthog,RealD tol, Integer maxit, bool err_on_no_conv = true) BlockConjugateGradient(BlockCGtype cgtype,int _Orthog,RealD tol, Integer maxit, bool err_on_no_conv = true)
: Tolerance(tol), CGtype(cgtype), blockDim(_Orthog), MaxIterations(maxit), ErrorOnNoConverge(err_on_no_conv),PrintInterval(100) : Tolerance(tol), CGtype(cgtype), blockDim(_Orthog), MaxIterations(maxit), ErrorOnNoConverge(err_on_no_conv)
{}; {};
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
// Thin QR factorisation (google it) // Thin QR factorisation (google it)
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
void ThinQRfact (Eigen::MatrixXcd &m_rr,
Eigen::MatrixXcd &C,
Eigen::MatrixXcd &Cinv,
Field & Q,
const Field & R)
{
int Orthog = blockDim; // First dimension is block dim; this is an assumption
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
//Dimensions //Dimensions
// R_{ferm x Nblock} = Q_{ferm x Nblock} x C_{Nblock x Nblock} -> ferm x Nblock // R_{ferm x Nblock} = Q_{ferm x Nblock} x C_{Nblock x Nblock} -> ferm x Nblock
@ -129,29 +85,22 @@ class BlockConjugateGradient : public OperatorFunction<Field> {
// Cdag C = Rdag R ; passes. // Cdag C = Rdag R ; passes.
// QdagQ = 1 ; passes // QdagQ = 1 ; passes
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
void ThinQRfact (Eigen::MatrixXcd &m_rr,
Eigen::MatrixXcd &C,
Eigen::MatrixXcd &Cinv,
Field & Q,
const Field & R)
{
int Orthog = blockDim; // First dimension is block dim; this is an assumption
sliceInnerProductMatrix(m_rr,R,R,Orthog); sliceInnerProductMatrix(m_rr,R,R,Orthog);
// Force manifest hermitian to avoid rounding related // Force manifest hermitian to avoid rounding related
/*
int rank=m_rr.rows();
for(int r=0;r<rank;r++){
for(int s=0;s<rank;s++){
std::cout << "QR m_rr["<<r<<","<<s<<"] "<<m_rr(r,s)<<std::endl;
}}
*/
m_rr = 0.5*(m_rr+m_rr.adjoint()); m_rr = 0.5*(m_rr+m_rr.adjoint());
Eigen::MatrixXcd L = m_rr.llt().matrixL(); #if 0
std::cout << " Calling Cholesky ldlt on m_rr " << m_rr <<std::endl;
Eigen::MatrixXcd L_ldlt = m_rr.ldlt().matrixL();
std::cout << " Called Cholesky ldlt on m_rr " << L_ldlt <<std::endl;
auto D_ldlt = m_rr.ldlt().vectorD();
std::cout << " Called Cholesky ldlt on m_rr " << D_ldlt <<std::endl;
#endif
// ComplexD det = L.determinant(); // std::cout << " Calling Cholesky llt on m_rr " <<std::endl;
// std::cout << " Det m_rr "<<det<<std::endl; Eigen::MatrixXcd L = m_rr.llt().matrixL();
// std::cout << " Called Cholesky llt on m_rr " << L <<std::endl;
C = L.adjoint(); C = L.adjoint();
Cinv = C.inverse(); Cinv = C.inverse();
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
@ -163,34 +112,6 @@ void ThinQRfact (Eigen::MatrixXcd &m_rr,
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
sliceMulMatrix(Q,Cinv,R,Orthog); sliceMulMatrix(Q,Cinv,R,Orthog);
} }
// see comments above
void ThinQRfact (Eigen::MatrixXcd &m_rr,
Eigen::MatrixXcd &C,
Eigen::MatrixXcd &Cinv,
std::vector<Field> & Q,
const std::vector<Field> & R)
{
InnerProductMatrix(m_rr,R,R);
/*
int rank=m_rr.rows();
for(int r=0;r<rank;r++){
for(int s=0;s<rank;s++){
std::cout << "QRvec m_rr["<<r<<","<<s<<"] "<<m_rr(r,s)<<std::endl;
}}
*/
m_rr = 0.5*(m_rr+m_rr.adjoint());
Eigen::MatrixXcd L = m_rr.llt().matrixL();
// ComplexD det = L.determinant();
// std::cout << " Det m_rr "<<det<<std::endl;
C = L.adjoint();
Cinv = C.inverse();
MulMatrix(Q,Cinv,R);
}
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
// Call one of several implementations // Call one of several implementations
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
@ -198,20 +119,14 @@ void operator()(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi)
{ {
if ( CGtype == BlockCGrQ ) { if ( CGtype == BlockCGrQ ) {
BlockCGrQsolve(Linop,Src,Psi); BlockCGrQsolve(Linop,Src,Psi);
} else if (CGtype == BlockCG ) {
BlockCGsolve(Linop,Src,Psi);
} else if (CGtype == CGmultiRHS ) { } else if (CGtype == CGmultiRHS ) {
CGmultiRHSsolve(Linop,Src,Psi); CGmultiRHSsolve(Linop,Src,Psi);
} else { } else {
assert(0); assert(0);
} }
} }
virtual void operator()(LinearOperatorBase<Field> &Linop, const std::vector<Field> &Src, std::vector<Field> &Psi)
{
if ( CGtype == BlockCGrQVec ) {
BlockCGrQsolveVec(Linop,Src,Psi);
} else {
assert(0);
}
}
//////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////
// BlockCGrQ implementation: // BlockCGrQ implementation:
@ -223,12 +138,11 @@ virtual void operator()(LinearOperatorBase<Field> &Linop, const std::vector<Fiel
void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X) void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
{ {
int Orthog = blockDim; // First dimension is block dim; this is an assumption int Orthog = blockDim; // First dimension is block dim; this is an assumption
Nblock = B.Grid()->_fdimensions[Orthog]; Nblock = B._grid->_fdimensions[Orthog];
/* FAKE */
Nblock=8;
std::cout<<GridLogMessage<<" Block Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl; std::cout<<GridLogMessage<<" Block Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl;
X.Checkerboard() = B.Checkerboard(); X.checkerboard = B.checkerboard;
conformable(X, B); conformable(X, B);
Field tmp(B); Field tmp(B);
@ -256,7 +170,6 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
sliceNorm(ssq,B,Orthog); sliceNorm(ssq,B,Orthog);
RealD sssum=0; RealD sssum=0;
for(int b=0;b<Nblock;b++) sssum+=ssq[b]; for(int b=0;b<Nblock;b++) sssum+=ssq[b];
for(int b=0;b<Nblock;b++) std::cout << "src["<<b<<"]" << ssq[b] <<std::endl;
sliceNorm(residuals,B,Orthog); sliceNorm(residuals,B,Orthog);
for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); } for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
@ -289,13 +202,15 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
std::cout << GridLogMessage<<"BlockCGrQ algorithm initialisation " <<std::endl; std::cout << GridLogMessage<<"BlockCGrQ algorithm initialisation " <<std::endl;
//1. QC = R = B-AX, D = Q ; QC => Thin QR factorisation (google it) //1. QC = R = B-AX, D = Q ; QC => Thin QR factorisation (google it)
Linop.HermOp(X, AD); Linop.HermOp(X, AD);
tmp = B - AD; tmp = B - AD;
//std::cout << GridLogMessage << " initial tmp " << norm2(tmp)<< std::endl;
sliceNorm(residuals,tmp,Orthog);
for(int b=0;b<Nblock;b++) std::cout << "res["<<b<<"]" << residuals[b] <<std::endl;
ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp); ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp);
//std::cout << GridLogMessage << " initial Q " << norm2(Q)<< std::endl;
//std::cout << GridLogMessage << " m_rr " << m_rr<<std::endl;
//std::cout << GridLogMessage << " m_C " << m_C<<std::endl;
//std::cout << GridLogMessage << " m_Cinv " << m_Cinv<<std::endl;
D=Q; D=Q;
std::cout << GridLogMessage<<"BlockCGrQ computed initial residual and QR fact " <<std::endl; std::cout << GridLogMessage<<"BlockCGrQ computed initial residual and QR fact " <<std::endl;
@ -310,8 +225,6 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
GridStopWatch SolverTimer; GridStopWatch SolverTimer;
SolverTimer.Start(); SolverTimer.Start();
RealD max_resid=0;
int k; int k;
for (k = 1; k <= MaxIterations; k++) { for (k = 1; k <= MaxIterations; k++) {
@ -319,12 +232,14 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
MatrixTimer.Start(); MatrixTimer.Start();
Linop.HermOp(D, Z); Linop.HermOp(D, Z);
MatrixTimer.Stop(); MatrixTimer.Stop();
//std::cout << GridLogMessage << " norm2 Z " <<norm2(Z)<<std::endl;
//4. M = [D^dag Z]^{-1} //4. M = [D^dag Z]^{-1}
sliceInnerTimer.Start(); sliceInnerTimer.Start();
sliceInnerProductMatrix(m_DZ,D,Z,Orthog); sliceInnerProductMatrix(m_DZ,D,Z,Orthog);
sliceInnerTimer.Stop(); sliceInnerTimer.Stop();
m_M = m_DZ.inverse(); m_M = m_DZ.inverse();
//std::cout << GridLogMessage << " m_DZ " <<m_DZ<<std::endl;
//5. X = X + D MC //5. X = X + D MC
m_tmp = m_M * m_C; m_tmp = m_M * m_C;
@ -342,7 +257,6 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
//7. D = Q + D S^dag //7. D = Q + D S^dag
m_tmp = m_S.adjoint(); m_tmp = m_S.adjoint();
sliceMaddTimer.Start(); sliceMaddTimer.Start();
sliceMaddMatrix(D,m_tmp,D,Q,Orthog); sliceMaddMatrix(D,m_tmp,D,Q,Orthog);
sliceMaddTimer.Stop(); sliceMaddTimer.Stop();
@ -356,7 +270,7 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
*/ */
m_rr = m_C.adjoint() * m_C; m_rr = m_C.adjoint() * m_C;
max_resid=0; RealD max_resid=0;
RealD rrsum=0; RealD rrsum=0;
RealD rr; RealD rr;
@ -383,8 +297,7 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
Linop.HermOp(X, AD); Linop.HermOp(X, AD);
AD = AD-B; AD = AD-B;
TrueResidual = std::sqrt(norm2(AD)/norm2(B)); std::cout << GridLogMessage <<"\t True residual is " << std::sqrt(norm2(AD)/norm2(B)) <<std::endl;
std::cout << GridLogMessage <<"\tTrue residual is " << TrueResidual <<std::endl;
std::cout << GridLogMessage << "Time Breakdown "<<std::endl; std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
@ -398,9 +311,153 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
} }
} }
std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge" << std::endl;
std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge "<<k<<" / "<<MaxIterations if (ErrorOnNoConverge) assert(0);
<<" residual "<< std::sqrt(max_resid)<< std::endl; IterationsToComplete = k;
}
//////////////////////////////////////////////////////////////////////////
// Block conjugate gradient; Original O'Leary Dimension zero should be the block direction
//////////////////////////////////////////////////////////////////////////
void BlockCGsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi)
{
int Orthog = blockDim; // First dimension is block dim; this is an assumption
Nblock = Src._grid->_fdimensions[Orthog];
std::cout<<GridLogMessage<<" Block Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl;
Psi.checkerboard = Src.checkerboard;
conformable(Psi, Src);
Field P(Src);
Field AP(Src);
Field R(Src);
Eigen::MatrixXcd m_pAp = Eigen::MatrixXcd::Identity(Nblock,Nblock);
Eigen::MatrixXcd m_pAp_inv= Eigen::MatrixXcd::Identity(Nblock,Nblock);
Eigen::MatrixXcd m_rr = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_rr_inv = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_alpha = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_beta = Eigen::MatrixXcd::Zero(Nblock,Nblock);
// Initial residual computation & set up
std::vector<RealD> residuals(Nblock);
std::vector<RealD> ssq(Nblock);
sliceNorm(ssq,Src,Orthog);
RealD sssum=0;
for(int b=0;b<Nblock;b++) sssum+=ssq[b];
sliceNorm(residuals,Src,Orthog);
for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
sliceNorm(residuals,Psi,Orthog);
for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
// Initial search dir is guess
Linop.HermOp(Psi, AP);
/************************************************************************
* Block conjugate gradient (Stephen Pickles, thesis 1995, pp 71, O Leary 1980)
************************************************************************
* O'Leary : R = B - A X
* O'Leary : P = M R ; preconditioner M = 1
* O'Leary : alpha = PAP^{-1} RMR
* O'Leary : beta = RMR^{-1}_old RMR_new
* O'Leary : X=X+Palpha
* O'Leary : R_new=R_old-AP alpha
* O'Leary : P=MR_new+P beta
*/
R = Src - AP;
P = R;
sliceInnerProductMatrix(m_rr,R,R,Orthog);
GridStopWatch sliceInnerTimer;
GridStopWatch sliceMaddTimer;
GridStopWatch MatrixTimer;
GridStopWatch SolverTimer;
SolverTimer.Start();
int k;
for (k = 1; k <= MaxIterations; k++) {
RealD rrsum=0;
for(int b=0;b<Nblock;b++) rrsum+=real(m_rr(b,b));
std::cout << GridLogIterative << "\titeration "<<k<<" rr_sum "<<rrsum<<" ssq_sum "<< sssum
<<" / "<<std::sqrt(rrsum/sssum) <<std::endl;
MatrixTimer.Start();
Linop.HermOp(P, AP);
MatrixTimer.Stop();
// Alpha
sliceInnerTimer.Start();
sliceInnerProductMatrix(m_pAp,P,AP,Orthog);
sliceInnerTimer.Stop();
m_pAp_inv = m_pAp.inverse();
m_alpha = m_pAp_inv * m_rr ;
// Psi, R update
sliceMaddTimer.Start();
sliceMaddMatrix(Psi,m_alpha, P,Psi,Orthog); // add alpha * P to psi
sliceMaddMatrix(R ,m_alpha,AP, R,Orthog,-1.0);// sub alpha * AP to resid
sliceMaddTimer.Stop();
// Beta
m_rr_inv = m_rr.inverse();
sliceInnerTimer.Start();
sliceInnerProductMatrix(m_rr,R,R,Orthog);
sliceInnerTimer.Stop();
m_beta = m_rr_inv *m_rr;
// Search update
sliceMaddTimer.Start();
sliceMaddMatrix(AP,m_beta,P,R,Orthog);
sliceMaddTimer.Stop();
P= AP;
/*********************
* convergence monitor
*********************
*/
RealD max_resid=0;
RealD rr;
for(int b=0;b<Nblock;b++){
rr = real(m_rr(b,b))/ssq[b];
if ( rr > max_resid ) max_resid = rr;
}
if ( max_resid < Tolerance*Tolerance ) {
SolverTimer.Stop();
std::cout << GridLogMessage<<"BlockCG converged in "<<k<<" iterations"<<std::endl;
for(int b=0;b<Nblock;b++){
std::cout << GridLogMessage<< "\t\tblock "<<b<<" computed resid "
<< std::sqrt(real(m_rr(b,b))/ssq[b])<<std::endl;
}
std::cout << GridLogMessage<<"\tMax residual is "<<std::sqrt(max_resid)<<std::endl;
Linop.HermOp(Psi, AP);
AP = AP-Src;
std::cout << GridLogMessage <<"\t True residual is " << std::sqrt(norm2(AP)/norm2(Src)) <<std::endl;
std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tInnerProd " << sliceInnerTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMaddMatrix " << sliceMaddTimer.Elapsed() <<std::endl;
IterationsToComplete = k;
return;
}
}
std::cout << GridLogMessage << "BlockConjugateGradient did NOT converge" << std::endl;
if (ErrorOnNoConverge) assert(0); if (ErrorOnNoConverge) assert(0);
IterationsToComplete = k; IterationsToComplete = k;
@ -412,11 +469,11 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi) void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi)
{ {
int Orthog = blockDim; // First dimension is block dim int Orthog = blockDim; // First dimension is block dim
Nblock = Src.Grid()->_fdimensions[Orthog]; Nblock = Src._grid->_fdimensions[Orthog];
std::cout<<GridLogMessage<<"MultiRHS Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl; std::cout<<GridLogMessage<<"MultiRHS Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl;
Psi.Checkerboard() = Src.Checkerboard(); Psi.checkerboard = Src.checkerboard;
conformable(Psi, Src); conformable(Psi, Src);
Field P(Src); Field P(Src);
@ -522,8 +579,7 @@ void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &
Linop.HermOp(Psi, AP); Linop.HermOp(Psi, AP);
AP = AP-Src; AP = AP-Src;
TrueResidual = std::sqrt(norm2(AP)/norm2(Src)); std::cout <<GridLogMessage << "\tTrue residual is " << std::sqrt(norm2(AP)/norm2(Src)) <<std::endl;
std::cout <<GridLogMessage << "\tTrue residual is " << TrueResidual <<std::endl;
std::cout << GridLogMessage << "Time Breakdown "<<std::endl; std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
@ -544,198 +600,7 @@ void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &
IterationsToComplete = k; IterationsToComplete = k;
} }
////////////////////////////////////////////////////////////////////////////
// BlockCGrQvec implementation:
//--------------------------
// X is guess/Solution
// B is RHS
// Solve A X_i = B_i ; i refers to Nblock index
////////////////////////////////////////////////////////////////////////////
void BlockCGrQsolveVec(LinearOperatorBase<Field> &Linop, const std::vector<Field> &B, std::vector<Field> &X)
{
Nblock = B.size();
assert(Nblock == X.size());
std::cout<<GridLogMessage<<" Block Conjugate Gradient Vec rQ : Nblock "<<Nblock<<std::endl;
for(int b=0;b<Nblock;b++){
X[b].Checkerboard() = B[b].Checkerboard();
conformable(X[b], B[b]);
conformable(X[b], X[0]);
}
Field Fake(B[0]);
std::vector<Field> tmp(Nblock,Fake);
std::vector<Field> Q(Nblock,Fake);
std::vector<Field> D(Nblock,Fake);
std::vector<Field> Z(Nblock,Fake);
std::vector<Field> AD(Nblock,Fake);
Eigen::MatrixXcd m_DZ = Eigen::MatrixXcd::Identity(Nblock,Nblock);
Eigen::MatrixXcd m_M = Eigen::MatrixXcd::Identity(Nblock,Nblock);
Eigen::MatrixXcd m_rr = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_C = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_Cinv = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_S = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_Sinv = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_tmp = Eigen::MatrixXcd::Identity(Nblock,Nblock);
Eigen::MatrixXcd m_tmp1 = Eigen::MatrixXcd::Identity(Nblock,Nblock);
// Initial residual computation & set up
std::vector<RealD> residuals(Nblock);
std::vector<RealD> ssq(Nblock);
RealD sssum=0;
for(int b=0;b<Nblock;b++){ ssq[b] = norm2(B[b]);}
for(int b=0;b<Nblock;b++){ std::cout << "ssq["<<b<<"] "<<ssq[b]<<std::endl;}
for(int b=0;b<Nblock;b++) sssum+=ssq[b];
for(int b=0;b<Nblock;b++){ residuals[b] = norm2(B[b]);}
for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
for(int b=0;b<Nblock;b++){ residuals[b] = norm2(X[b]);}
for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
/************************************************************************
* Block conjugate gradient rQ (Sebastien Birk Thesis, after Dubrulle 2001)
************************************************************************
* Dimensions:
*
* X,B==(Nferm x Nblock)
* A==(Nferm x Nferm)
*
* Nferm = Nspin x Ncolour x Ncomplex x Nlattice_site
*
* QC = R = B-AX, D = Q ; QC => Thin QR factorisation (google it)
* for k:
* Z = AD
* M = [D^dag Z]^{-1}
* X = X + D MC
* QS = Q - ZM
* D = Q + D S^dag
* C = S C
*/
///////////////////////////////////////
// Initial block: initial search dir is guess
///////////////////////////////////////
std::cout << GridLogMessage<<"BlockCGrQvec algorithm initialisation " <<std::endl;
//1. QC = R = B-AX, D = Q ; QC => Thin QR factorisation (google it)
for(int b=0;b<Nblock;b++) {
Linop.HermOp(X[b], AD[b]);
tmp[b] = B[b] - AD[b];
std::cout << "r0["<<b<<"] "<<norm2(tmp[b])<<std::endl;
}
ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp);
for(int b=0;b<Nblock;b++) D[b]=Q[b];
std::cout << GridLogMessage<<"BlockCGrQ vec computed initial residual and QR fact " <<std::endl;
///////////////////////////////////////
// Timers
///////////////////////////////////////
GridStopWatch sliceInnerTimer;
GridStopWatch sliceMaddTimer;
GridStopWatch QRTimer;
GridStopWatch MatrixTimer;
GridStopWatch SolverTimer;
SolverTimer.Start();
int k;
for (k = 1; k <= MaxIterations; k++) {
//3. Z = AD
MatrixTimer.Start();
for(int b=0;b<Nblock;b++) Linop.HermOp(D[b], Z[b]);
MatrixTimer.Stop();
//4. M = [D^dag Z]^{-1}
sliceInnerTimer.Start();
InnerProductMatrix(m_DZ,D,Z);
sliceInnerTimer.Stop();
m_M = m_DZ.inverse();
//5. X = X + D MC
m_tmp = m_M * m_C;
sliceMaddTimer.Start();
MaddMatrix(X,m_tmp, D,X);
sliceMaddTimer.Stop();
//6. QS = Q - ZM
sliceMaddTimer.Start();
MaddMatrix(tmp,m_M,Z,Q,-1.0);
sliceMaddTimer.Stop();
QRTimer.Start();
ThinQRfact (m_rr, m_S, m_Sinv, Q, tmp);
QRTimer.Stop();
//7. D = Q + D S^dag
m_tmp = m_S.adjoint();
sliceMaddTimer.Start();
MaddMatrix(D,m_tmp,D,Q);
sliceMaddTimer.Stop();
//8. C = S C
m_C = m_S*m_C;
/*********************
* convergence monitor
*********************
*/
m_rr = m_C.adjoint() * m_C;
RealD max_resid=0;
RealD rrsum=0;
RealD rr;
for(int b=0;b<Nblock;b++) {
rrsum+=real(m_rr(b,b));
rr = real(m_rr(b,b))/ssq[b];
if ( rr > max_resid ) max_resid = rr;
}
std::cout << GridLogIterative << "\t Block Iteration "<<k<<" ave resid "<< std::sqrt(rrsum/sssum) << " max "<< std::sqrt(max_resid) <<std::endl;
if ( max_resid < Tolerance*Tolerance ) {
SolverTimer.Stop();
std::cout << GridLogMessage<<"BlockCGrQ converged in "<<k<<" iterations"<<std::endl;
for(int b=0;b<Nblock;b++){
std::cout << GridLogMessage<< "\t\tblock "<<b<<" computed resid "<< std::sqrt(real(m_rr(b,b))/ssq[b])<<std::endl;
}
std::cout << GridLogMessage<<"\tMax residual is "<<std::sqrt(max_resid)<<std::endl;
for(int b=0;b<Nblock;b++) Linop.HermOp(X[b], AD[b]);
for(int b=0;b<Nblock;b++) AD[b] = AD[b]-B[b];
TrueResidual = std::sqrt(normv(AD)/normv(B));
std::cout << GridLogMessage << "\tTrue residual is " << TrueResidual <<std::endl;
std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tInnerProd " << sliceInnerTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMaddMatrix " << sliceMaddTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tThinQRfact " << QRTimer.Elapsed() <<std::endl;
IterationsToComplete = k;
return;
}
}
std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge" << std::endl;
if (ErrorOnNoConverge) assert(0);
IterationsToComplete = k;
}
}; };
NAMESPACE_END(Grid); }
#endif

View File

@ -1,248 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/CommunicationAvoidingGeneralisedMinimalResidual.h
Copyright (C) 2015
Author: Daniel Richtmann <daniel.richtmann@ur.de>
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 */
#ifndef GRID_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
#define GRID_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
namespace Grid {
template<class Field>
class CommunicationAvoidingGeneralisedMinimalResidual : public OperatorFunction<Field> {
public:
using OperatorFunction<Field>::operator();
bool ErrorOnNoConverge; // Throw an assert when CAGMRES fails to converge,
// defaults to true
RealD Tolerance;
Integer MaxIterations;
Integer RestartLength;
Integer MaxNumberOfRestarts;
Integer IterationCount; // Number of iterations the CAGMRES took to finish,
// filled in upon completion
GridStopWatch MatrixTimer;
GridStopWatch LinalgTimer;
GridStopWatch QrTimer;
GridStopWatch CompSolutionTimer;
Eigen::MatrixXcd H;
std::vector<ComplexD> y;
std::vector<ComplexD> gamma;
std::vector<ComplexD> c;
std::vector<ComplexD> s;
CommunicationAvoidingGeneralisedMinimalResidual(RealD tol,
Integer maxit,
Integer restart_length,
bool err_on_no_conv = true)
: Tolerance(tol)
, MaxIterations(maxit)
, RestartLength(restart_length)
, MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
, ErrorOnNoConverge(err_on_no_conv)
, H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
, y(RestartLength + 1, 0.)
, gamma(RestartLength + 1, 0.)
, c(RestartLength + 1, 0.)
, s(RestartLength + 1, 0.) {};
void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
std::cout << GridLogWarning << "This algorithm currently doesn't differ from regular GMRES" << std::endl;
psi.Checkerboard() = src.Checkerboard();
conformable(psi, src);
RealD guess = norm2(psi);
assert(std::isnan(guess) == 0);
RealD cp;
RealD ssq = norm2(src);
RealD rsq = Tolerance * Tolerance * ssq;
Field r(src.Grid());
std::cout << std::setprecision(4) << std::scientific;
std::cout << GridLogIterative << "CommunicationAvoidingGeneralisedMinimalResidual: guess " << guess << std::endl;
std::cout << GridLogIterative << "CommunicationAvoidingGeneralisedMinimalResidual: src " << ssq << std::endl;
MatrixTimer.Reset();
LinalgTimer.Reset();
QrTimer.Reset();
CompSolutionTimer.Reset();
GridStopWatch SolverTimer;
SolverTimer.Start();
IterationCount = 0;
for (int k=0; k<MaxNumberOfRestarts; k++) {
cp = outerLoopBody(LinOp, src, psi, rsq);
// Stopping condition
if (cp <= rsq) {
SolverTimer.Stop();
LinOp.Op(psi,r);
axpy(r,-1.0,src,r);
RealD srcnorm = sqrt(ssq);
RealD resnorm = sqrt(norm2(r));
RealD true_residual = resnorm / srcnorm;
std::cout << GridLogMessage << "CommunicationAvoidingGeneralisedMinimalResidual: Converged on iteration " << IterationCount
<< " computed residual " << sqrt(cp / ssq)
<< " true residual " << true_residual
<< " target " << Tolerance << std::endl;
std::cout << GridLogMessage << "CAGMRES Time elapsed: Total " << SolverTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "CAGMRES Time elapsed: Matrix " << MatrixTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "CAGMRES Time elapsed: Linalg " << LinalgTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "CAGMRES Time elapsed: QR " << QrTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "CAGMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
return;
}
}
std::cout << GridLogMessage << "CommunicationAvoidingGeneralisedMinimalResidual did NOT converge" << std::endl;
if (ErrorOnNoConverge)
assert(0);
}
RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
RealD cp = 0;
Field w(src.Grid());
Field r(src.Grid());
// this should probably be made a class member so that it is only allocated once, not in every restart
std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
MatrixTimer.Start();
LinOp.Op(psi, w);
MatrixTimer.Stop();
LinalgTimer.Start();
r = src - w;
gamma[0] = sqrt(norm2(r));
ComplexD scale = 1.0/gamma[0];
v[0] = scale * r;
LinalgTimer.Stop();
for (int i=0; i<RestartLength; i++) {
IterationCount++;
arnoldiStep(LinOp, v, w, i);
qrUpdate(i);
cp = norm(gamma[i+1]);
std::cout << GridLogIterative << "CommunicationAvoidingGeneralisedMinimalResidual: Iteration " << IterationCount
<< " residual " << cp << " target " << rsq << std::endl;
if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
computeSolution(v, psi, i);
return cp;
}
}
assert(0); // Never reached
return cp;
}
void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, Field &w, int iter) {
MatrixTimer.Start();
LinOp.Op(v[iter], w);
MatrixTimer.Stop();
LinalgTimer.Start();
for (int i = 0; i <= iter; ++i) {
H(iter, i) = innerProduct(v[i], w);
w = w - ComplexD(H(iter, i)) * v[i];
}
H(iter, iter + 1) = sqrt(norm2(w));
v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
LinalgTimer.Stop();
}
void qrUpdate(int iter) {
QrTimer.Start();
for (int i = 0; i < iter ; ++i) {
auto tmp = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
H(iter, i) = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
H(iter, i + 1) = tmp;
}
// Compute new Givens Rotation
auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
c[iter] = H(iter, iter) / nu;
s[iter] = H(iter, iter + 1) / nu;
// Apply new Givens rotation
H(iter, iter) = nu;
H(iter, iter + 1) = 0.;
gamma[iter + 1] = -s[iter] * gamma[iter];
gamma[iter] = conjugate(c[iter]) * gamma[iter];
QrTimer.Stop();
}
void computeSolution(std::vector<Field> const &v, Field &psi, int iter) {
CompSolutionTimer.Start();
for (int i = iter; i >= 0; i--) {
y[i] = gamma[i];
for (int k = i + 1; k <= iter; k++)
y[i] = y[i] - ComplexD(H(k, i)) * y[k];
y[i] = y[i] / ComplexD(H(i, i));
}
for (int i = 0; i <= iter; i++)
psi = psi + v[i] * y[i];
CompSolutionTimer.Stop();
}
};
}
#endif

View File

@ -27,95 +27,56 @@ with this program; if not, write to the Free Software Foundation, Inc.,
See the full license in the file "LICENSE" in the top level distribution See the full license in the file "LICENSE" in the top level distribution
directory directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_CONJUGATE_GRADIENT_H #ifndef GRID_CONJUGATE_GRADIENT_H
#define GRID_CONJUGATE_GRADIENT_H #define GRID_CONJUGATE_GRADIENT_H
NAMESPACE_BEGIN(Grid); namespace Grid {
///////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////
// Base classes for iterative processes based on operators // Base classes for iterative processes based on operators
// single input vec, single output vec. // single input vec, single output vec.
///////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////
template <class Field> template <class Field>
class ConjugateGradient : public OperatorFunction<Field> { class ConjugateGradient : public OperatorFunction<Field> {
public: public:
using OperatorFunction<Field>::operator();
bool ErrorOnNoConverge; // throw an assert when the CG fails to converge. bool ErrorOnNoConverge; // throw an assert when the CG fails to converge.
// Defaults true. // Defaults true.
RealD Tolerance; RealD Tolerance;
Integer MaxIterations; Integer MaxIterations;
Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
RealD TrueResidual;
ConjugateGradient(RealD tol, Integer maxit, bool err_on_no_conv = true) ConjugateGradient(RealD tol, Integer maxit, bool err_on_no_conv = true)
: Tolerance(tol), : Tolerance(tol),
MaxIterations(maxit), MaxIterations(maxit),
ErrorOnNoConverge(err_on_no_conv) ErrorOnNoConverge(err_on_no_conv){};
{};
virtual void LogIteration(int k,RealD a,RealD b){ void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) {
// std::cout << "ConjugageGradient::LogIteration() "<<std::endl;
};
virtual void LogBegin(void){
std::cout << "ConjugageGradient::LogBegin() "<<std::endl;
};
void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) {
this->LogBegin();
GRID_TRACE("ConjugateGradient");
GridStopWatch PreambleTimer;
GridStopWatch ConstructTimer;
GridStopWatch NormTimer;
GridStopWatch AssignTimer;
PreambleTimer.Start();
psi.Checkerboard() = src.Checkerboard();
psi.checkerboard = src.checkerboard;
conformable(psi, src); conformable(psi, src);
RealD cp, c, a, d, b, ssq, qq; RealD cp, c, a, d, b, ssq, qq, b_pred;
//RealD b_pred;
// Was doing copies Field p(src);
ConstructTimer.Start(); Field mmp(src);
Field p (src.Grid()); Field r(src);
Field mmp(src.Grid());
Field r (src.Grid());
ConstructTimer.Stop();
// Initial residual computation & set up // Initial residual computation & set up
NormTimer.Start();
ssq = norm2(src);
RealD guess = norm2(psi); RealD guess = norm2(psi);
NormTimer.Stop();
assert(std::isnan(guess) == 0); assert(std::isnan(guess) == 0);
AssignTimer.Start();
if ( guess == 0.0 ) {
r = src;
p = r;
a = ssq;
} else {
Linop.HermOpAndNorm(psi, mmp, d, b);
r = src - mmp;
p = r;
a = norm2(p);
}
cp = a;
AssignTimer.Stop();
// Handle trivial case of zero src
if (ssq == 0.){ Linop.HermOpAndNorm(psi, mmp, d, b);
psi = Zero();
IterationsToComplete = 1; r = src - mmp;
TrueResidual = 0.; p = r;
return;
} a = norm2(p);
cp = a;
ssq = norm2(src);
std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient: guess " << guess << std::endl; std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient: guess " << guess << std::endl;
std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient: src " << ssq << std::endl; std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient: src " << ssq << std::endl;
@ -128,16 +89,12 @@ public:
// Check if guess is really REALLY good :) // Check if guess is really REALLY good :)
if (cp <= rsq) { if (cp <= rsq) {
TrueResidual = std::sqrt(a/ssq);
std::cout << GridLogMessage << "ConjugateGradient guess is converged already " << std::endl;
IterationsToComplete = 0;
return; return;
} }
std::cout << GridLogIterative << std::setprecision(8) std::cout << GridLogIterative << std::setprecision(8)
<< "ConjugateGradient: k=0 residual " << cp << " target " << rsq << std::endl; << "ConjugateGradient: k=0 residual " << cp << " target " << rsq << std::endl;
PreambleTimer.Stop();
GridStopWatch LinalgTimer; GridStopWatch LinalgTimer;
GridStopWatch InnerTimer; GridStopWatch InnerTimer;
GridStopWatch AxpyNormTimer; GridStopWatch AxpyNormTimer;
@ -145,13 +102,9 @@ public:
GridStopWatch MatrixTimer; GridStopWatch MatrixTimer;
GridStopWatch SolverTimer; GridStopWatch SolverTimer;
RealD usecs = -usecond();
SolverTimer.Start(); SolverTimer.Start();
int k; int k;
for (k = 1; k <= MaxIterations; k++) { for (k = 1; k <= MaxIterations*1000; k++) {
GridStopWatch IterationTimer;
IterationTimer.Start();
c = cp; c = cp;
MatrixTimer.Start(); MatrixTimer.Start();
@ -172,202 +125,53 @@ public:
b = cp / c; b = cp / c;
LinearCombTimer.Start(); LinearCombTimer.Start();
{ parallel_for(int ss=0;ss<src._grid->oSites();ss++){
autoView( psi_v , psi, AcceleratorWrite); vstream(psi[ss], a * p[ss] + psi[ss]);
autoView( p_v , p, AcceleratorWrite); vstream(p [ss], b * p[ss] + r[ss]);
autoView( r_v , r, AcceleratorWrite);
accelerator_for(ss,p_v.size(), Field::vector_object::Nsimd(),{
coalescedWrite(psi_v[ss], a * p_v(ss) + psi_v(ss));
coalescedWrite(p_v[ss] , b * p_v(ss) + r_v (ss));
});
} }
LinearCombTimer.Stop(); LinearCombTimer.Stop();
LinalgTimer.Stop(); LinalgTimer.Stop();
LogIteration(k,a,b);
IterationTimer.Stop(); std::cout << GridLogIterative << "ConjugateGradient: Iteration " << k
if ( (k % 500) == 0 ) { << " residual " << cp << " target " << rsq << std::endl;
std::cout << GridLogMessage << "ConjugateGradient: Iteration " << k
<< " residual " << sqrt(cp/ssq) << " target " << Tolerance << std::endl;
} else {
std::cout << GridLogIterative << "ConjugateGradient: Iteration " << k
<< " residual " << sqrt(cp/ssq) << " target " << Tolerance << " took " << IterationTimer.Elapsed() << std::endl;
}
// Stopping condition // Stopping condition
if (cp <= rsq) { if (cp <= rsq) {
usecs +=usecond();
SolverTimer.Stop(); SolverTimer.Stop();
Linop.HermOpAndNorm(psi, mmp, d, qq); Linop.HermOpAndNorm(psi, mmp, d, qq);
p = mmp - src; p = mmp - src;
GridBase *grid = src.Grid();
RealD DwfFlops = (1452. )*grid->gSites()*4*k RealD srcnorm = sqrt(norm2(src));
+ (8+4+8+4+4)*12*grid->gSites()*k; // CG linear algebra RealD resnorm = sqrt(norm2(p));
RealD srcnorm = std::sqrt(norm2(src));
RealD resnorm = std::sqrt(norm2(p));
RealD true_residual = resnorm / srcnorm; RealD true_residual = resnorm / srcnorm;
std::cout << GridLogMessage << "ConjugateGradient Converged on iteration " << k
<< "\tComputed residual " << std::sqrt(cp / ssq)
<< "\tTrue residual " << true_residual
<< "\tTarget " << Tolerance << std::endl;
// std::cout << GridLogMessage << "\tPreamble " << PreambleTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "ConjugateGradient Converged on iteration " << k << std::endl;
std::cout << GridLogMessage << "\tSolver Elapsed " << SolverTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tComputed residual " << sqrt(cp / ssq)<<std::endl;
std::cout << GridLogPerformance << "Time breakdown "<<std::endl; std::cout << GridLogMessage << "\tTrue residual " << true_residual<<std::endl;
std::cout << GridLogPerformance << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
std::cout << GridLogPerformance << "\tLinalg " << LinalgTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\t\tInner " << InnerTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\t\tAxpyNorm " << AxpyNormTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\t\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl;
std::cout << GridLogDebug << "\tMobius flop rate " << DwfFlops/ usecs<< " Gflops " <<std::endl; std::cout << GridLogMessage << "Time breakdown "<<std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tLinalg " << LinalgTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tInner " << InnerTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tAxpyNorm " << AxpyNormTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl;
if (ErrorOnNoConverge) assert(true_residual / Tolerance < 10000.0); if (ErrorOnNoConverge) assert(true_residual / Tolerance < 10000.0);
IterationsToComplete = k; IterationsToComplete = k;
TrueResidual = true_residual;
return; return;
} }
} }
// Failed. Calculate true residual before giving up std::cout << GridLogMessage << "ConjugateGradient did NOT converge"
// Linop.HermOpAndNorm(psi, mmp, d, qq); << std::endl;
// p = mmp - src;
//TrueResidual = sqrt(norm2(p)/ssq);
// TrueResidual = 1;
std::cout << GridLogMessage << "ConjugateGradient did NOT converge "<<k<<" / "<< MaxIterations
<<" residual "<< std::sqrt(cp / ssq)<< std::endl;
SolverTimer.Stop();
std::cout << GridLogMessage << "\tPreamble " << PreambleTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tConstruct " << ConstructTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tNorm " << NormTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tAssign " << AssignTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tSolver " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "Solver breakdown "<<std::endl;
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage<< "\tLinalg " << LinalgTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\t\tInner " << InnerTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\t\tAxpyNorm " << AxpyNormTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\t\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl;
if (ErrorOnNoConverge) assert(0); if (ErrorOnNoConverge) assert(0);
IterationsToComplete = k; IterationsToComplete = k;
} }
}; };
}
template <class Field>
class ConjugateGradientPolynomial : public ConjugateGradient<Field> {
public:
// Optionally record the CG polynomial
std::vector<double> ak;
std::vector<double> bk;
std::vector<double> poly_p;
std::vector<double> poly_r;
std::vector<double> poly_Ap;
std::vector<double> polynomial;
public:
ConjugateGradientPolynomial(RealD tol, Integer maxit, bool err_on_no_conv = true)
: ConjugateGradient<Field>(tol,maxit,err_on_no_conv)
{ };
void PolyHermOp(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
{
Field tmp(src.Grid());
Field AtoN(src.Grid());
AtoN = src;
psi=AtoN*polynomial[0];
for(int n=1;n<polynomial.size();n++){
tmp = AtoN;
Linop.HermOp(tmp,AtoN);
psi = psi + polynomial[n]*AtoN;
}
}
void CGsequenceHermOp(LinearOperatorBase<Field> &Linop, const Field &src, Field &x)
{
Field Ap(src.Grid());
Field r(src.Grid());
Field p(src.Grid());
p=src;
r=src;
x=Zero();
x.Checkerboard()=src.Checkerboard();
for(int k=0;k<ak.size();k++){
x = x + ak[k]*p;
Linop.HermOp(p,Ap);
r = r - ak[k] * Ap;
p = r + bk[k] * p;
}
}
void Solve(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
{
psi=Zero();
this->operator ()(Linop,src,psi);
}
virtual void LogBegin(void)
{
std::cout << "ConjugageGradientPolynomial::LogBegin() "<<std::endl;
ak.resize(0);
bk.resize(0);
polynomial.resize(0);
poly_Ap.resize(0);
poly_Ap.resize(0);
poly_p.resize(1);
poly_r.resize(1);
poly_p[0]=1.0;
poly_r[0]=1.0;
};
virtual void LogIteration(int k,RealD a,RealD b)
{
// With zero guess,
// p = r = src
//
// iterate:
// x = x + a p
// r = r - a A p
// p = r + b p
//
// [0]
// r = x
// p = x
// Ap=0
//
// [1]
// Ap = A x + 0 ==> shift poly P right by 1 and add 0.
// x = x + a p ==> add polynomials term by term
// r = r - a A p ==> add polynomials term by term
// p = r + b p ==> add polynomials term by term
//
std::cout << "ConjugageGradientPolynomial::LogIteration() "<<k<<std::endl;
ak.push_back(a);
bk.push_back(b);
// Ap= right_shift(p)
poly_Ap.resize(k+1);
poly_Ap[0]=0.0;
for(int i=0;i<k;i++){
poly_Ap[i+1]=poly_p[i];
}
// x = x + a p
polynomial.resize(k);
polynomial[k-1]=0.0;
for(int i=0;i<k;i++){
polynomial[i] = polynomial[i] + a * poly_p[i];
}
// r = r - a Ap
// p = r + b p
poly_r.resize(k+1);
poly_p.resize(k+1);
poly_r[k] = poly_p[k] = 0.0;
for(int i=0;i<k+1;i++){
poly_r[i] = poly_r[i] - a * poly_Ap[i];
poly_p[i] = poly_r[i] + b * poly_p[i];
}
}
};
NAMESPACE_END(Grid);
#endif #endif

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,20 +23,17 @@ Author: Christopher Kelly <ckelly@phys.columbia.edu>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_CONJUGATE_GRADIENT_MIXED_PREC_H #ifndef GRID_CONJUGATE_GRADIENT_MIXED_PREC_H
#define GRID_CONJUGATE_GRADIENT_MIXED_PREC_H #define GRID_CONJUGATE_GRADIENT_MIXED_PREC_H
NAMESPACE_BEGIN(Grid); namespace Grid {
//Mixed precision restarted defect correction CG //Mixed precision restarted defect correction CG
template<class FieldD,class FieldF, template<class FieldD,class FieldF, typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0>
typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0>
class MixedPrecisionConjugateGradient : public LinearFunction<FieldD> { class MixedPrecisionConjugateGradient : public LinearFunction<FieldD> {
public: public:
using LinearFunction<FieldD>::operator();
RealD Tolerance; RealD Tolerance;
RealD InnerTolerance; //Initial tolerance for inner CG. Defaults to Tolerance but can be changed RealD InnerTolerance; //Initial tolerance for inner CG. Defaults to Tolerance but can be changed
Integer MaxInnerIterations; Integer MaxInnerIterations;
@ -49,17 +46,11 @@ NAMESPACE_BEGIN(Grid);
Integer TotalInnerIterations; //Number of inner CG iterations Integer TotalInnerIterations; //Number of inner CG iterations
Integer TotalOuterIterations; //Number of restarts Integer TotalOuterIterations; //Number of restarts
Integer TotalFinalStepIterations; //Number of CG iterations in final patch-up step Integer TotalFinalStepIterations; //Number of CG iterations in final patch-up step
RealD TrueResidual;
//Option to speed up *inner single precision* solves using a LinearFunction that produces a guess //Option to speed up *inner single precision* solves using a LinearFunction that produces a guess
LinearFunction<FieldF> *guesser; LinearFunction<FieldF> *guesser;
MixedPrecisionConjugateGradient(RealD tol, MixedPrecisionConjugateGradient(RealD tol, Integer maxinnerit, Integer maxouterit, GridBase* _sp_grid, LinearOperatorBase<FieldF> &_Linop_f, LinearOperatorBase<FieldD> &_Linop_d) :
Integer maxinnerit,
Integer maxouterit,
GridBase* _sp_grid,
LinearOperatorBase<FieldF> &_Linop_f,
LinearOperatorBase<FieldD> &_Linop_d) :
Linop_f(_Linop_f), Linop_d(_Linop_d), Linop_f(_Linop_f), Linop_d(_Linop_d),
Tolerance(tol), InnerTolerance(tol), MaxInnerIterations(maxinnerit), MaxOuterIterations(maxouterit), SinglePrecGrid(_sp_grid), Tolerance(tol), InnerTolerance(tol), MaxInnerIterations(maxinnerit), MaxOuterIterations(maxouterit), SinglePrecGrid(_sp_grid),
OuterLoopNormMult(100.), guesser(NULL){ }; OuterLoopNormMult(100.), guesser(NULL){ };
@ -68,103 +59,96 @@ NAMESPACE_BEGIN(Grid);
guesser = &g; guesser = &g;
} }
void operator() (const FieldD &src_d_in, FieldD &sol_d){ void operator() (const FieldD &src_d_in, FieldD &sol_d){
std::cout << GridLogMessage << "MixedPrecisionConjugateGradient: Starting mixed precision CG with outer tolerance " << Tolerance << " and inner tolerance " << InnerTolerance << std::endl; TotalInnerIterations = 0;
TotalInnerIterations = 0;
GridStopWatch TotalTimer; GridStopWatch TotalTimer;
TotalTimer.Start(); TotalTimer.Start();
int cb = src_d_in.Checkerboard(); int cb = src_d_in.checkerboard;
sol_d.Checkerboard() = cb; sol_d.checkerboard = cb;
RealD src_norm = norm2(src_d_in); RealD src_norm = norm2(src_d_in);
RealD stop = src_norm * Tolerance*Tolerance; RealD stop = src_norm * Tolerance*Tolerance;
GridBase* DoublePrecGrid = src_d_in.Grid(); GridBase* DoublePrecGrid = src_d_in._grid;
FieldD tmp_d(DoublePrecGrid); FieldD tmp_d(DoublePrecGrid);
tmp_d.Checkerboard() = cb; tmp_d.checkerboard = cb;
FieldD tmp2_d(DoublePrecGrid); FieldD tmp2_d(DoublePrecGrid);
tmp2_d.Checkerboard() = cb; tmp2_d.checkerboard = cb;
FieldD src_d(DoublePrecGrid); FieldD src_d(DoublePrecGrid);
src_d = src_d_in; //source for next inner iteration, computed from residual during operation src_d = src_d_in; //source for next inner iteration, computed from residual during operation
RealD inner_tol = InnerTolerance; RealD inner_tol = InnerTolerance;
FieldF src_f(SinglePrecGrid); FieldF src_f(SinglePrecGrid);
src_f.Checkerboard() = cb; src_f.checkerboard = cb;
FieldF sol_f(SinglePrecGrid); FieldF sol_f(SinglePrecGrid);
sol_f.Checkerboard() = cb; sol_f.checkerboard = cb;
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Starting initial inner CG with tolerance " << inner_tol << std::endl; ConjugateGradient<FieldF> CG_f(inner_tol, MaxInnerIterations);
ConjugateGradient<FieldF> CG_f(inner_tol, MaxInnerIterations); CG_f.ErrorOnNoConverge = false;
CG_f.ErrorOnNoConverge = false;
GridStopWatch InnerCGtimer; GridStopWatch InnerCGtimer;
GridStopWatch PrecChangeTimer; GridStopWatch PrecChangeTimer;
Integer &outer_iter = TotalOuterIterations; //so it will be equal to the final iteration count Integer &outer_iter = TotalOuterIterations; //so it will be equal to the final iteration count
for(outer_iter = 0; outer_iter < MaxOuterIterations; outer_iter++){
//Compute double precision rsd and also new RHS vector.
Linop_d.HermOp(sol_d, tmp_d);
RealD norm = axpy_norm(src_d, -1., tmp_d, src_d_in); //src_d is residual vector
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration " <<outer_iter<<" residual "<< norm<< " target "<< stop<<std::endl;
precisionChangeWorkspace pc_wk_sp_to_dp(DoublePrecGrid, SinglePrecGrid); if(norm < OuterLoopNormMult * stop){
precisionChangeWorkspace pc_wk_dp_to_sp(SinglePrecGrid, DoublePrecGrid); std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration converged on iteration " <<outer_iter <<std::endl;
break;
for(outer_iter = 0; outer_iter < MaxOuterIterations; outer_iter++){ }
//Compute double precision rsd and also new RHS vector. while(norm * inner_tol * inner_tol < stop) inner_tol *= 2; // inner_tol = sqrt(stop/norm) ??
Linop_d.HermOp(sol_d, tmp_d);
RealD norm = axpy_norm(src_d, -1., tmp_d, src_d_in); //src_d is residual vector
std::cout<<GridLogMessage<<" rsd norm "<<norm<<std::endl;
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration " <<outer_iter<<" residual "<< norm<< " target "<< stop<<std::endl;
if(norm < OuterLoopNormMult * stop){ PrecChangeTimer.Start();
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration converged on iteration " <<outer_iter <<std::endl; precisionChange(src_f, src_d);
break; PrecChangeTimer.Stop();
zeroit(sol_f);
//Optionally improve inner solver guess (eg using known eigenvectors)
if(guesser != NULL)
(*guesser)(src_f, sol_f);
//Inner CG
CG_f.Tolerance = inner_tol;
InnerCGtimer.Start();
CG_f(Linop_f, src_f, sol_f);
InnerCGtimer.Stop();
TotalInnerIterations += CG_f.IterationsToComplete;
//Convert sol back to double and add to double prec solution
PrecChangeTimer.Start();
precisionChange(tmp_d, sol_f);
PrecChangeTimer.Stop();
axpy(sol_d, 1.0, tmp_d, sol_d);
} }
while(norm * inner_tol * inner_tol < stop*1.01) inner_tol *= 2; // inner_tol = sqrt(stop/norm) ??
//Final trial CG
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Starting final patch-up double-precision solve"<<std::endl;
ConjugateGradient<FieldD> CG_d(Tolerance, MaxInnerIterations);
CG_d(Linop_d, src_d_in, sol_d);
TotalFinalStepIterations = CG_d.IterationsToComplete;
PrecChangeTimer.Start(); TotalTimer.Stop();
precisionChange(src_f, src_d, pc_wk_dp_to_sp); std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Inner CG iterations " << TotalInnerIterations << " Restarts " << TotalOuterIterations << " Final CG iterations " << TotalFinalStepIterations << std::endl;
PrecChangeTimer.Stop(); std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Total time " << TotalTimer.Elapsed() << " Precision change " << PrecChangeTimer.Elapsed() << " Inner CG total " << InnerCGtimer.Elapsed() << std::endl;
sol_f = Zero();
//Optionally improve inner solver guess (eg using known eigenvectors)
if(guesser != NULL)
(*guesser)(src_f, sol_f);
//Inner CG
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration " << outer_iter << " starting inner CG with tolerance " << inner_tol << std::endl;
CG_f.Tolerance = inner_tol;
InnerCGtimer.Start();
CG_f(Linop_f, src_f, sol_f);
InnerCGtimer.Stop();
TotalInnerIterations += CG_f.IterationsToComplete;
//Convert sol back to double and add to double prec solution
PrecChangeTimer.Start();
precisionChange(tmp_d, sol_f, pc_wk_sp_to_dp);
PrecChangeTimer.Stop();
axpy(sol_d, 1.0, tmp_d, sol_d);
} }
};
//Final trial CG
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Starting final patch-up double-precision solve"<<std::endl;
ConjugateGradient<FieldD> CG_d(Tolerance, MaxInnerIterations);
CG_d(Linop_d, src_d_in, sol_d);
TotalFinalStepIterations = CG_d.IterationsToComplete;
TrueResidual = CG_d.TrueResidual;
TotalTimer.Stop(); }
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Inner CG iterations " << TotalInnerIterations << " Restarts " << TotalOuterIterations << " Final CG iterations " << TotalFinalStepIterations << std::endl;
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Total time " << TotalTimer.Elapsed() << " Precision change " << PrecChangeTimer.Elapsed() << " Inner CG total " << InnerCGtimer.Elapsed() << std::endl;
}
};
NAMESPACE_END(Grid);
#endif #endif

View File

@ -1,213 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/ConjugateGradientMixedPrecBatched.h
Copyright (C) 2015
Author: Raoul Hodgson <raoul.hodgson@ed.ac.uk>
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 */
#ifndef GRID_CONJUGATE_GRADIENT_MIXED_PREC_BATCHED_H
#define GRID_CONJUGATE_GRADIENT_MIXED_PREC_BATCHED_H
NAMESPACE_BEGIN(Grid);
//Mixed precision restarted defect correction CG
template<class FieldD,class FieldF,
typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0>
class MixedPrecisionConjugateGradientBatched : public LinearFunction<FieldD> {
public:
using LinearFunction<FieldD>::operator();
RealD Tolerance;
RealD InnerTolerance; //Initial tolerance for inner CG. Defaults to Tolerance but can be changed
Integer MaxInnerIterations;
Integer MaxOuterIterations;
Integer MaxPatchupIterations;
GridBase* SinglePrecGrid; //Grid for single-precision fields
RealD OuterLoopNormMult; //Stop the outer loop and move to a final double prec solve when the residual is OuterLoopNormMult * Tolerance
LinearOperatorBase<FieldF> &Linop_f;
LinearOperatorBase<FieldD> &Linop_d;
//Option to speed up *inner single precision* solves using a LinearFunction that produces a guess
LinearFunction<FieldF> *guesser;
bool updateResidual;
MixedPrecisionConjugateGradientBatched(RealD tol,
Integer maxinnerit,
Integer maxouterit,
Integer maxpatchit,
GridBase* _sp_grid,
LinearOperatorBase<FieldF> &_Linop_f,
LinearOperatorBase<FieldD> &_Linop_d,
bool _updateResidual=true) :
Linop_f(_Linop_f), Linop_d(_Linop_d),
Tolerance(tol), InnerTolerance(tol), MaxInnerIterations(maxinnerit), MaxOuterIterations(maxouterit), MaxPatchupIterations(maxpatchit), SinglePrecGrid(_sp_grid),
OuterLoopNormMult(100.), guesser(NULL), updateResidual(_updateResidual) { };
void useGuesser(LinearFunction<FieldF> &g){
guesser = &g;
}
void operator() (const FieldD &src_d_in, FieldD &sol_d){
std::vector<FieldD> srcs_d_in{src_d_in};
std::vector<FieldD> sols_d{sol_d};
(*this)(srcs_d_in,sols_d);
sol_d = sols_d[0];
}
void operator() (const std::vector<FieldD> &src_d_in, std::vector<FieldD> &sol_d){
assert(src_d_in.size() == sol_d.size());
int NBatch = src_d_in.size();
std::cout << GridLogMessage << "NBatch = " << NBatch << std::endl;
Integer TotalOuterIterations = 0; //Number of restarts
std::vector<Integer> TotalInnerIterations(NBatch,0); //Number of inner CG iterations
std::vector<Integer> TotalFinalStepIterations(NBatch,0); //Number of CG iterations in final patch-up step
GridStopWatch TotalTimer;
TotalTimer.Start();
GridStopWatch InnerCGtimer;
GridStopWatch PrecChangeTimer;
int cb = src_d_in[0].Checkerboard();
std::vector<RealD> src_norm;
std::vector<RealD> norm;
std::vector<RealD> stop;
GridBase* DoublePrecGrid = src_d_in[0].Grid();
FieldD tmp_d(DoublePrecGrid);
tmp_d.Checkerboard() = cb;
FieldD tmp2_d(DoublePrecGrid);
tmp2_d.Checkerboard() = cb;
std::vector<FieldD> src_d;
std::vector<FieldF> src_f;
std::vector<FieldF> sol_f;
for (int i=0; i<NBatch; i++) {
sol_d[i].Checkerboard() = cb;
src_norm.push_back(norm2(src_d_in[i]));
norm.push_back(0.);
stop.push_back(src_norm[i] * Tolerance*Tolerance);
src_d.push_back(src_d_in[i]); //source for next inner iteration, computed from residual during operation
src_f.push_back(SinglePrecGrid);
src_f[i].Checkerboard() = cb;
sol_f.push_back(SinglePrecGrid);
sol_f[i].Checkerboard() = cb;
}
RealD inner_tol = InnerTolerance;
ConjugateGradient<FieldF> CG_f(inner_tol, MaxInnerIterations);
CG_f.ErrorOnNoConverge = false;
Integer &outer_iter = TotalOuterIterations; //so it will be equal to the final iteration count
for(outer_iter = 0; outer_iter < MaxOuterIterations; outer_iter++){
std::cout << GridLogMessage << std::endl;
std::cout << GridLogMessage << "Outer iteration " << outer_iter << std::endl;
bool allConverged = true;
for (int i=0; i<NBatch; i++) {
//Compute double precision rsd and also new RHS vector.
Linop_d.HermOp(sol_d[i], tmp_d);
norm[i] = axpy_norm(src_d[i], -1., tmp_d, src_d_in[i]); //src_d is residual vector
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradientBatched: Outer iteration " << outer_iter <<" solve " << i << " residual "<< norm[i] << " target "<< stop[i] <<std::endl;
PrecChangeTimer.Start();
precisionChange(src_f[i], src_d[i]);
PrecChangeTimer.Stop();
sol_f[i] = Zero();
if(norm[i] > OuterLoopNormMult * stop[i]) {
allConverged = false;
}
}
if (allConverged) break;
if (updateResidual) {
RealD normMax = *std::max_element(std::begin(norm), std::end(norm));
RealD stopMax = *std::max_element(std::begin(stop), std::end(stop));
while( normMax * inner_tol * inner_tol < stopMax) inner_tol *= 2; // inner_tol = sqrt(stop/norm) ??
CG_f.Tolerance = inner_tol;
}
//Optionally improve inner solver guess (eg using known eigenvectors)
if(guesser != NULL) {
(*guesser)(src_f, sol_f);
}
for (int i=0; i<NBatch; i++) {
//Inner CG
InnerCGtimer.Start();
CG_f(Linop_f, src_f[i], sol_f[i]);
InnerCGtimer.Stop();
TotalInnerIterations[i] += CG_f.IterationsToComplete;
//Convert sol back to double and add to double prec solution
PrecChangeTimer.Start();
precisionChange(tmp_d, sol_f[i]);
PrecChangeTimer.Stop();
axpy(sol_d[i], 1.0, tmp_d, sol_d[i]);
}
}
//Final trial CG
std::cout << GridLogMessage << std::endl;
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradientBatched: Starting final patch-up double-precision solve"<<std::endl;
for (int i=0; i<NBatch; i++) {
ConjugateGradient<FieldD> CG_d(Tolerance, MaxPatchupIterations);
CG_d(Linop_d, src_d_in[i], sol_d[i]);
TotalFinalStepIterations[i] += CG_d.IterationsToComplete;
}
TotalTimer.Stop();
std::cout << GridLogMessage << std::endl;
for (int i=0; i<NBatch; i++) {
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradientBatched: solve " << i << " Inner CG iterations " << TotalInnerIterations[i] << " Restarts " << TotalOuterIterations << " Final CG iterations " << TotalFinalStepIterations[i] << std::endl;
}
std::cout << GridLogMessage << std::endl;
std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradientBatched: Total time " << TotalTimer.Elapsed() << " Precision change " << PrecChangeTimer.Elapsed() << " Inner CG total " << InnerCGtimer.Elapsed() << std::endl;
}
};
NAMESPACE_END(Grid);
#endif

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -24,169 +24,147 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_CONJUGATE_MULTI_SHIFT_GRADIENT_H #ifndef GRID_CONJUGATE_MULTI_SHIFT_GRADIENT_H
#define GRID_CONJUGATE_MULTI_SHIFT_GRADIENT_H #define GRID_CONJUGATE_MULTI_SHIFT_GRADIENT_H
NAMESPACE_BEGIN(Grid); namespace Grid {
///////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////
// Base classes for iterative processes based on operators // Base classes for iterative processes based on operators
// single input vec, single output vec. // single input vec, single output vec.
///////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////
template<class Field> template<class Field>
class ConjugateGradientMultiShift : public OperatorMultiFunction<Field>, class ConjugateGradientMultiShift : public OperatorMultiFunction<Field>,
public OperatorFunction<Field> public OperatorFunction<Field>
{ {
public: public:
RealD Tolerance;
Integer MaxIterations;
Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
int verbose;
MultiShiftFunction shifts;
using OperatorFunction<Field>::operator(); ConjugateGradientMultiShift(Integer maxit,MultiShiftFunction &_shifts) :
MaxIterations(maxit),
shifts(_shifts)
{
verbose=1;
}
// RealD Tolerance; void operator() (LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
Integer MaxIterations; {
Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion GridBase *grid = src._grid;
std::vector<int> IterationsToCompleteShift; // Iterations for this shift int nshift = shifts.order;
int verbose; std::vector<Field> results(nshift,grid);
MultiShiftFunction shifts; (*this)(Linop,src,results,psi);
std::vector<RealD> TrueResidualShift; }
void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &results, Field &psi)
{
int nshift = shifts.order;
ConjugateGradientMultiShift(Integer maxit, const MultiShiftFunction &_shifts) : (*this)(Linop,src,results);
MaxIterations(maxit),
shifts(_shifts) psi = shifts.norm*src;
{ for(int i=0;i<nshift;i++){
verbose=1; psi = psi + shifts.residues[i]*results[i];
IterationsToCompleteShift.resize(_shifts.order);
TrueResidualShift.resize(_shifts.order);
} }
void operator() (LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) return;
{ }
GridBase *grid = src.Grid();
int nshift = shifts.order; void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &psi)
std::vector<Field> results(nshift,grid); {
(*this)(Linop,src,results,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;
} }
void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &results, Field &psi)
{
int nshift = shifts.order;
(*this)(Linop,src,results);
psi = shifts.norm*src; // Wire guess to zero
for(int i=0;i<nshift;i++){ // Residuals "r" are src
psi = psi + shifts.residues[i]*results[i]; // First search direction "p" is also src
} cp = norm2(src);
for(int s=0;s<nshift;s++){
return; rsq[s] = cp * mresidual[s] * mresidual[s];
std::cout<<GridLogMessage<<"ConjugateGradientMultiShift: shift "<<s
<<" target resid "<<rsq[s]<<std::endl;
ps[s] = src;
} }
// r and p for primary
void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &psi) r=src;
{ p=src;
GRID_TRACE("ConjugateGradientMultiShift");
GridBase *grid = src.Grid(); //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
// Convenience references to the info stored in "MultiShiftFunction" // p and mmp is equal to d after this since
//////////////////////////////////////////////////////////////////////// // the d computation is tricky
int nshift = shifts.order; // qq = real(innerProduct(p,mmp));
// std::cout<<GridLogMessage << "debug equal ? qq "<<qq<<" d "<< d<<std::endl;
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);
// remove dynamic sized arrays on stack; 2d is a pain with vector b = -cp /d;
std::vector<RealD> bs(nshift);
std::vector<RealD> rsq(nshift);
std::vector<std::array<RealD,2> > z(nshift);
std::vector<int> converged(nshift);
const int primary =0; // 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];
}
//Primary shift fields CG iteration // r += b[0] A.p[0]
RealD a,b,c,d; // c= norm(r)
RealD cp,bp,qq; //prev c=axpy_norm(r,b,mmp,r);
// 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);
// Handle trivial case of zero src.
if( cp == 0. ){
for(int s=0;s<nshift;s++){
psi[s] = Zero();
IterationsToCompleteShift[s] = 1;
TrueResidualShift[s] = 0.;
}
return;
}
for(int s=0;s<nshift;s++){
rsq[s] = cp * mresidual[s] * mresidual[s];
std::cout<<GridLogMessage<<"ConjugateGradientMultiShift: shift "<<s
<<" target resid^2 "<<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<<GridLogMessage << "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);
}
std::cout << GridLogIterative << "ConjugateGradientMultiShift: initial rn (|src|^2) =" << rn << " qq (|MdagM src|^2) =" << qq << " d ( dot(src, [MdagM + m_0]src) ) =" << d << " c=" << c << std::endl;
for(int s=0;s<nshift;s++) {
axpby(psi[s],0.,-bs[s]*alpha[s],src,src);
}
/////////////////////////////////////// ///////////////////////////////////////
// Timers // Timers
/////////////////////////////////////// ///////////////////////////////////////
@ -197,37 +175,37 @@ public:
GridStopWatch SolverTimer; GridStopWatch SolverTimer;
SolverTimer.Start(); SolverTimer.Start();
// Iteration loop // Iteration loop
int k; int k;
for (k=1;k<=MaxIterations;k++){ for (k=1;k<=MaxIterations;k++){
a = c /cp; a = c /cp;
AXPYTimer.Start(); AXPYTimer.Start();
axpy(p,a,p,r); axpy(p,a,p,r);
AXPYTimer.Stop(); AXPYTimer.Stop();
// Note to self - direction ps is iterated seperately // Note to self - direction ps is iterated seperately
// for each shift. Does not appear to have any scope // for each shift. Does not appear to have any scope
// for avoiding linear algebra in "single" case. // for avoiding linear algebra in "single" case.
// //
// However SAME r is used. Could load "r" and update // However SAME r is used. Could load "r" and update
// ALL ps[s]. 2/3 Bandwidth saving // ALL ps[s]. 2/3 Bandwidth saving
// New Kernel: Load r, vector of coeffs, vector of pointers ps // New Kernel: Load r, vector of coeffs, vector of pointers ps
AXPYTimer.Start(); AXPYTimer.Start();
for(int s=0;s<nshift;s++){ for(int s=0;s<nshift;s++){
if ( ! converged[s] ) { if ( ! converged[s] ) {
if (s==0){ if (s==0){
axpy(ps[s],a,ps[s],r); axpy(ps[s],a,ps[s],r);
} else{ } else{
RealD as =a *z[s][iz]*bs[s] /(z[s][1-iz]*b); RealD as =a *z[s][iz]*bs[s] /(z[s][1-iz]*b);
axpby(ps[s],z[s][iz],as,r,ps[s]); axpby(ps[s],z[s][iz],as,r,ps[s]);
}
} }
} }
}
AXPYTimer.Stop(); AXPYTimer.Stop();
cp=c; cp=c;
MatrixTimer.Start(); MatrixTimer.Start();
//Linop.HermOpAndNorm(p,mmp,d,qq); // d is used //Linop.HermOpAndNorm(p,mmp,d,qq); // d is used
// The below is faster on KNL // The below is faster on KNL
@ -237,110 +215,108 @@ public:
MatrixTimer.Stop(); MatrixTimer.Stop();
AXPYTimer.Start(); AXPYTimer.Start();
axpy(mmp,mass[0],p,mmp); axpy(mmp,mass[0],p,mmp);
AXPYTimer.Stop(); AXPYTimer.Stop();
RealD rn = norm2(p); RealD rn = norm2(p);
d += rn*mass[0]; d += rn*mass[0];
bp=b; bp=b;
b=-cp/d; b=-cp/d;
AXPYTimer.Start(); AXPYTimer.Start();
c=axpy_norm(r,b,mmp,r); c=axpy_norm(r,b,mmp,r);
AXPYTimer.Stop(); AXPYTimer.Stop();
// Toggle the recurrence history // Toggle the recurrence history
bs[0] = b; bs[0] = b;
iz = 1-iz; iz = 1-iz;
ShiftTimer.Start(); ShiftTimer.Start();
for(int s=1;s<nshift;s++){ for(int s=1;s<nshift;s++){
if((!converged[s])){ if((!converged[s])){
RealD z0 = z[s][1-iz]; RealD z0 = z[s][1-iz];
RealD z1 = z[s][iz]; RealD z1 = z[s][iz];
z[s][iz] = z0*z1*bp z[s][iz] = z0*z1*bp
/ (b*a*(z1-z0) + z1*bp*(1- (mass[s]-mass[0])*b)); / (b*a*(z1-z0) + z1*bp*(1- (mass[s]-mass[0])*b));
bs[s] = b*z[s][iz]/z0; // NB sign rel to Mike bs[s] = b*z[s][iz]/z0; // NB sign rel to Mike
}
} }
}
ShiftTimer.Stop(); ShiftTimer.Stop();
for(int s=0;s<nshift;s++){ for(int s=0;s<nshift;s++){
int ss = s; int ss = s;
// Scope for optimisation here in case of "single". // Scope for optimisation here in case of "single".
// Could load psi[0] and pull all ps[s] in. // Could load psi[0] and pull all ps[s] in.
// if ( single ) ss=primary; // if ( single ) ss=primary;
// Bandwith saving in single case is Ls * 3 -> 2+Ls, so ~ 3x saving // Bandwith saving in single case is Ls * 3 -> 2+Ls, so ~ 3x saving
// Pipelined CG gain: // Pipelined CG gain:
// //
// New Kernel: Load r, vector of coeffs, vector of pointers ps // New Kernel: Load r, vector of coeffs, vector of pointers ps
// New Kernel: Load psi[0], 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 // If can predict the coefficient bs then we can fuse these and avoid write reread cyce
// on ps[s]. // on ps[s].
// Before: 3 x npole + 3 x npole // Before: 3 x npole + 3 x npole
// After : 2 x npole (ps[s]) => 3x speed up of multishift CG. // After : 2 x npole (ps[s]) => 3x speed up of multishift CG.
if( (!converged[s]) ) { if( (!converged[s]) ) {
axpy(psi[ss],-bs[s]*alpha[s],ps[s],psi[ss]); axpy(psi[ss],-bs[s]*alpha[s],ps[s],psi[ss]);
}
} }
}
// Convergence checks // Convergence checks
int all_converged = 1; int all_converged = 1;
for(int s=0;s<nshift;s++){ for(int s=0;s<nshift;s++){
if ( (!converged[s]) ){ if ( (!converged[s]) ){
IterationsToCompleteShift[s] = k;
RealD css = c * z[s][iz]* z[s][iz]; RealD css = c * z[s][iz]* z[s][iz];
if(css<rsq[s]){ if(css<rsq[s]){
if ( ! converged[s] ) if ( ! converged[s] )
std::cout<<GridLogMessage<<"ConjugateGradientMultiShift k="<<k<<" Shift "<<s<<" has converged"<<std::endl; std::cout<<GridLogMessage<<"ConjugateGradientMultiShift k="<<k<<" Shift "<<s<<" has converged"<<std::endl;
converged[s]=1; converged[s]=1;
} else { } else {
all_converged=0; all_converged=0;
} }
}
} }
}
if ( all_converged ){ if ( all_converged ){
SolverTimer.Stop(); SolverTimer.Stop();
std::cout<<GridLogMessage<< "CGMultiShift: All shifts have converged iteration "<<k<<std::endl; std::cout<<GridLogMessage<< "CGMultiShift: All shifts have converged iteration "<<k<<std::endl;
std::cout<<GridLogMessage<< "CGMultiShift: Checking solutions"<<std::endl; std::cout<<GridLogMessage<< "CGMultiShift: Checking solutions"<<std::endl;
// Check answers // Check answers
for(int s=0; s < nshift; s++) { for(int s=0; s < nshift; s++) {
Linop.HermOpAndNorm(psi[s],mmp,d,qq); Linop.HermOpAndNorm(psi[s],mmp,d,qq);
axpy(tmp,mass[s],psi[s],mmp); axpy(tmp,mass[s],psi[s],mmp);
axpy(r,-alpha[s],src,tmp); axpy(r,-alpha[s],src,tmp);
RealD rn = norm2(r); RealD rn = norm2(r);
RealD cn = norm2(src); RealD cn = norm2(src);
TrueResidualShift[s] = std::sqrt(rn/cn); std::cout<<GridLogMessage<<"CGMultiShift: shift["<<s<<"] true residual "<<std::sqrt(rn/cn)<<std::endl;
std::cout<<GridLogMessage<<"CGMultiShift: shift["<<s<<"] true residual "<< TrueResidualShift[s] <<std::endl; }
}
std::cout << GridLogMessage << "Time Breakdown "<<std::endl; std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tAXPY " << AXPYTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tAXPY " << AXPYTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tMarix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tShift " << ShiftTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tShift " << ShiftTimer.Elapsed() <<std::endl;
IterationsToComplete = k; IterationsToComplete = k;
return; return;
} }
}
// ugly hack
std::cout<<GridLogMessage<<"CG multi shift did not converge"<<std::endl;
// assert(0);
} }
// ugly hack
std::cout<<GridLogMessage<<"CG multi shift did not converge"<<std::endl;
// assert(0);
}
}; };
NAMESPACE_END(Grid); }
#endif #endif

View File

@ -1,373 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/ConjugateGradientMultiShift.h
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: Christopher Kelly <ckelly@bnl.gov>
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
NAMESPACE_BEGIN(Grid);
//CK 2020: A variant of the multi-shift conjugate gradient with the matrix multiplication in single precision.
//The residual is stored in single precision, but the search directions and solution are stored in double precision.
//Every update_freq iterations the residual is corrected in double precision.
//For safety the a final regular CG is applied to clean up if necessary
//PB Pure single, then double fixup
template<class FieldD, class FieldF,
typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0>
class ConjugateGradientMultiShiftMixedPrecCleanup : public OperatorMultiFunction<FieldD>,
public OperatorFunction<FieldD>
{
public:
using OperatorFunction<FieldD>::operator();
RealD Tolerance;
Integer MaxIterationsMshift;
Integer MaxIterations;
Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
std::vector<int> IterationsToCompleteShift; // Iterations for this shift
int verbose;
MultiShiftFunction shifts;
std::vector<RealD> TrueResidualShift;
int ReliableUpdateFreq; //number of iterations between reliable updates
GridBase* SinglePrecGrid; //Grid for single-precision fields
LinearOperatorBase<FieldF> &Linop_f; //single precision
ConjugateGradientMultiShiftMixedPrecCleanup(Integer maxit, const MultiShiftFunction &_shifts,
GridBase* _SinglePrecGrid, LinearOperatorBase<FieldF> &_Linop_f,
int _ReliableUpdateFreq) :
MaxIterationsMshift(maxit), shifts(_shifts), SinglePrecGrid(_SinglePrecGrid), Linop_f(_Linop_f), ReliableUpdateFreq(_ReliableUpdateFreq),
MaxIterations(20000)
{
verbose=1;
IterationsToCompleteShift.resize(_shifts.order);
TrueResidualShift.resize(_shifts.order);
}
void operator() (LinearOperatorBase<FieldD> &Linop, const FieldD &src, FieldD &psi)
{
GridBase *grid = src.Grid();
int nshift = shifts.order;
std::vector<FieldD> results(nshift,grid);
(*this)(Linop,src,results,psi);
}
void operator() (LinearOperatorBase<FieldD> &Linop, const FieldD &src, std::vector<FieldD> &results, FieldD &psi)
{
int nshift = shifts.order;
(*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<FieldD> &Linop_d, const FieldD &src_d, std::vector<FieldD> &psi_d)
{
GRID_TRACE("ConjugateGradientMultiShiftMixedPrecCleanup");
GridBase *DoublePrecGrid = src_d.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);
//Double precision search directions
FieldD p_d(DoublePrecGrid);
std::vector<FieldF> ps_f (nshift, SinglePrecGrid);// Search directions (single precision)
std::vector<FieldF> psi_f(nshift, SinglePrecGrid);// solutions (single precision)
FieldD tmp_d(DoublePrecGrid);
FieldD r_d(DoublePrecGrid);
FieldF r_f(SinglePrecGrid);
FieldD mmp_d(DoublePrecGrid);
assert(psi_d.size()==nshift);
assert(mass.size()==nshift);
assert(mresidual.size()==nshift);
// dynamic sized arrays on stack; 2d is a pain with vector
std::vector<RealD> bs(nshift);
std::vector<RealD> rsq(nshift);
std::vector<RealD> rsqf(nshift);
std::vector<std::array<RealD,2> > z(nshift);
std::vector<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
FieldF p_f(SinglePrecGrid);
FieldF mmp_f(SinglePrecGrid);
// 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_d);
// Handle trivial case of zero src.
if( cp == 0. ){
for(int s=0;s<nshift;s++){
psi_d[s] = Zero();
psi_f[s] = Zero();
IterationsToCompleteShift[s] = 1;
TrueResidualShift[s] = 0.;
}
return;
}
for(int s=0;s<nshift;s++){
rsq[s] = cp * mresidual[s] * mresidual[s];
rsqf[s] =rsq[s];
std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrecCleanup: shift "<< s <<" target resid "<<rsq[s]<<std::endl;
// ps_d[s] = src_d;
precisionChange(ps_f[s],src_d);
}
// r and p for primary
p_d = src_d; //primary copy --- make this a reference to ps_d to save axpys
r_d = p_d;
//MdagM+m[0]
precisionChange(p_f,p_d);
Linop_f.HermOpAndNorm(p_f,mmp_f,d,qq); // mmp = MdagM p d=real(dot(p, mmp)), qq=norm2(mmp)
precisionChange(tmp_d,mmp_f);
Linop_d.HermOpAndNorm(p_d,mmp_d,d,qq); // mmp = MdagM p d=real(dot(p, mmp)), qq=norm2(mmp)
tmp_d = tmp_d - mmp_d;
std::cout << " Testing operators match "<<norm2(mmp_d)<<" f "<<norm2(mmp_f)<<" diff "<< norm2(tmp_d)<<std::endl;
// assert(norm2(tmp_d)< 1.0e-4);
axpy(mmp_d,mass[0],p_d,mmp_d);
RealD rn = norm2(p_d);
d += rn*mass[0];
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_d,b,mmp_d,r_d);
for(int s=0;s<nshift;s++) {
axpby(psi_d[s],0.,-bs[s]*alpha[s],src_d,src_d);
precisionChange(psi_f[s],psi_d[s]);
}
///////////////////////////////////////
// Timers
///////////////////////////////////////
GridStopWatch AXPYTimer, ShiftTimer, QRTimer, MatrixTimer, SolverTimer, PrecChangeTimer, CleanupTimer;
SolverTimer.Start();
// Iteration loop
int k;
for (k=1;k<=MaxIterationsMshift;k++){
a = c /cp;
AXPYTimer.Start();
axpy(p_d,a,p_d,r_d);
AXPYTimer.Stop();
PrecChangeTimer.Start();
precisionChange(r_f, r_d);
PrecChangeTimer.Stop();
AXPYTimer.Start();
for(int s=0;s<nshift;s++){
if ( ! converged[s] ) {
if (s==0){
axpy(ps_f[s],a,ps_f[s],r_f);
} else{
RealD as =a *z[s][iz]*bs[s] /(z[s][1-iz]*b);
axpby(ps_f[s],z[s][iz],as,r_f,ps_f[s]);
}
}
}
AXPYTimer.Stop();
cp=c;
PrecChangeTimer.Start();
precisionChange(p_f, p_d); //get back single prec search direction for linop
PrecChangeTimer.Stop();
MatrixTimer.Start();
Linop_f.HermOp(p_f,mmp_f);
MatrixTimer.Stop();
PrecChangeTimer.Start();
precisionChange(mmp_d, mmp_f); // From Float to Double
PrecChangeTimer.Stop();
d=real(innerProduct(p_d,mmp_d));
axpy(mmp_d,mass[0],p_d,mmp_d);
RealD rn = norm2(p_d);
d += rn*mass[0];
bp=b;
b=-cp/d;
// Toggle the recurrence history
bs[0] = b;
iz = 1-iz;
ShiftTimer.Start();
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
}
}
ShiftTimer.Stop();
//Update single precision solutions
AXPYTimer.Start();
for(int s=0;s<nshift;s++){
int ss = s;
if( (!converged[s]) ) {
axpy(psi_f[ss],-bs[s]*alpha[s],ps_f[s],psi_f[ss]);
}
}
c = axpy_norm(r_d,b,mmp_d,r_d);
AXPYTimer.Stop();
// Convergence checks
int all_converged = 1;
for(int s=0;s<nshift;s++){
if ( (!converged[s]) ){
IterationsToCompleteShift[s] = k;
RealD css = c * z[s][iz]* z[s][iz];
if(css<rsqf[s]){
if ( ! converged[s] )
std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrecCleanup k="<<k<<" Shift "<<s<<" has converged"<<std::endl;
converged[s]=1;
} else {
all_converged=0;
}
}
}
if ( all_converged || k == MaxIterationsMshift-1){
SolverTimer.Stop();
for(int s=0;s<nshift;s++){
precisionChange(psi_d[s],psi_f[s]);
}
if ( all_converged ){
std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrecCleanup: All shifts have converged iteration "<<k<<std::endl;
std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrecCleanup: Checking solutions"<<std::endl;
} else {
std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrecCleanup: Not all shifts have converged iteration "<<k<<std::endl;
}
// Check answers
for(int s=0; s < nshift; s++) {
Linop_d.HermOpAndNorm(psi_d[s],mmp_d,d,qq);
axpy(tmp_d,mass[s],psi_d[s],mmp_d);
axpy(r_d,-alpha[s],src_d,tmp_d);
RealD rn = norm2(r_d);
RealD cn = norm2(src_d);
TrueResidualShift[s] = std::sqrt(rn/cn);
std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrecCleanup: shift["<<s<<"] true residual "<< TrueResidualShift[s] << " target " << mresidual[s] << std::endl;
//If we have not reached the desired tolerance, do a (mixed precision) CG cleanup
if(rn >= rsq[s]){
CleanupTimer.Start();
std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrecCleanup: performing cleanup step for shift " << s << std::endl;
//Setup linear operators for final cleanup
ConjugateGradientMultiShiftMixedPrecSupport::ShiftedLinop<FieldD> Linop_shift_d(Linop_d, mass[s]);
ConjugateGradientMultiShiftMixedPrecSupport::ShiftedLinop<FieldF> Linop_shift_f(Linop_f, mass[s]);
MixedPrecisionConjugateGradient<FieldD,FieldF> cg(mresidual[s], MaxIterations, MaxIterations, SinglePrecGrid, Linop_shift_f, Linop_shift_d);
cg(src_d, psi_d[s]);
TrueResidualShift[s] = cg.TrueResidual;
CleanupTimer.Stop();
}
}
std::cout << GridLogMessage << "ConjugateGradientMultiShiftMixedPrecCleanup: Time Breakdown for body"<<std::endl;
std::cout << GridLogMessage << "\tSolver " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\t\tAXPY " << AXPYTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\t\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\t\tShift " << ShiftTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\t\tPrecision Change " << PrecChangeTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tFinal Cleanup " << CleanupTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tSolver+Cleanup " << SolverTimer.Elapsed() + CleanupTimer.Elapsed() << std::endl;
IterationsToComplete = k;
return;
}
}
std::cout<<GridLogMessage<<"CG multi shift did not converge"<<std::endl;
assert(0);
}
};
NAMESPACE_END(Grid);

View File

@ -1,416 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/ConjugateGradientMultiShift.h
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: Christopher Kelly <ckelly@bnl.gov>
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 */
#ifndef GRID_CONJUGATE_GRADIENT_MULTI_SHIFT_MIXEDPREC_H
#define GRID_CONJUGATE_GRADIENT_MULTI_SHIFT_MIXEDPREC_H
NAMESPACE_BEGIN(Grid);
//CK 2020: A variant of the multi-shift conjugate gradient with the matrix multiplication in single precision.
//The residual is stored in single precision, but the search directions and solution are stored in double precision.
//Every update_freq iterations the residual is corrected in double precision.
//For safety the a final regular CG is applied to clean up if necessary
//Linop to add shift to input linop, used in cleanup CG
namespace ConjugateGradientMultiShiftMixedPrecSupport{
template<typename Field>
class ShiftedLinop: public LinearOperatorBase<Field>{
public:
LinearOperatorBase<Field> &linop_base;
RealD shift;
ShiftedLinop(LinearOperatorBase<Field> &_linop_base, RealD _shift): linop_base(_linop_base), shift(_shift){}
void OpDiag (const Field &in, Field &out){ assert(0); }
void OpDir (const Field &in, Field &out,int dir,int disp){ assert(0); }
void OpDirAll (const Field &in, std::vector<Field> &out){ assert(0); }
void Op (const Field &in, Field &out){ assert(0); }
void AdjOp (const Field &in, Field &out){ assert(0); }
void HermOp(const Field &in, Field &out){
linop_base.HermOp(in, out);
axpy(out, shift, in, out);
}
void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
HermOp(in,out);
ComplexD dot = innerProduct(in,out);
n1=real(dot);
n2=norm2(out);
}
};
};
template<class FieldD, class FieldF,
typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0>
class ConjugateGradientMultiShiftMixedPrec : public OperatorMultiFunction<FieldD>,
public OperatorFunction<FieldD>
{
public:
using OperatorFunction<FieldD>::operator();
RealD Tolerance;
Integer MaxIterationsMshift;
Integer MaxIterations;
Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
std::vector<int> IterationsToCompleteShift; // Iterations for this shift
int verbose;
MultiShiftFunction shifts;
std::vector<RealD> TrueResidualShift;
int ReliableUpdateFreq; //number of iterations between reliable updates
GridBase* SinglePrecGrid; //Grid for single-precision fields
LinearOperatorBase<FieldF> &Linop_f; //single precision
ConjugateGradientMultiShiftMixedPrec(Integer maxit, const MultiShiftFunction &_shifts,
GridBase* _SinglePrecGrid, LinearOperatorBase<FieldF> &_Linop_f,
int _ReliableUpdateFreq) :
MaxIterationsMshift(maxit), shifts(_shifts), SinglePrecGrid(_SinglePrecGrid), Linop_f(_Linop_f), ReliableUpdateFreq(_ReliableUpdateFreq),
MaxIterations(20000)
{
verbose=1;
IterationsToCompleteShift.resize(_shifts.order);
TrueResidualShift.resize(_shifts.order);
}
void operator() (LinearOperatorBase<FieldD> &Linop, const FieldD &src, FieldD &psi)
{
GridBase *grid = src.Grid();
int nshift = shifts.order;
std::vector<FieldD> results(nshift,grid);
(*this)(Linop,src,results,psi);
}
void operator() (LinearOperatorBase<FieldD> &Linop, const FieldD &src, std::vector<FieldD> &results, FieldD &psi)
{
int nshift = shifts.order;
(*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<FieldD> &Linop_d, const FieldD &src_d, std::vector<FieldD> &psi_d)
{
GRID_TRACE("ConjugateGradientMultiShiftMixedPrec");
GridBase *DoublePrecGrid = src_d.Grid();
precisionChangeWorkspace pc_wk_s_to_d(DoublePrecGrid,SinglePrecGrid);
precisionChangeWorkspace pc_wk_d_to_s(SinglePrecGrid,DoublePrecGrid);
////////////////////////////////////////////////////////////////////////
// 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);
//Double precision search directions
FieldD p_d(DoublePrecGrid);
std::vector<FieldD> ps_d(nshift, DoublePrecGrid);// Search directions (double precision)
FieldD tmp_d(DoublePrecGrid);
FieldD r_d(DoublePrecGrid);
FieldD mmp_d(DoublePrecGrid);
assert(psi_d.size()==nshift);
assert(mass.size()==nshift);
assert(mresidual.size()==nshift);
// dynamic sized arrays on stack; 2d is a pain with vector
std::vector<RealD> bs(nshift);
std::vector<RealD> rsq(nshift);
std::vector<RealD> rsqf(nshift);
std::vector<std::array<RealD,2> > z(nshift);
std::vector<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
FieldF p_f(SinglePrecGrid);
FieldF mmp_f(SinglePrecGrid);
// 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_d);
// Handle trivial case of zero src.
if( cp == 0. ){
for(int s=0;s<nshift;s++){
psi_d[s] = Zero();
IterationsToCompleteShift[s] = 1;
TrueResidualShift[s] = 0.;
}
return;
}
for(int s=0;s<nshift;s++){
rsq[s] = cp * mresidual[s] * mresidual[s];
rsqf[s] =rsq[s];
std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrec: shift "<< s <<" target resid "<<rsq[s]<<std::endl;
ps_d[s] = src_d;
}
// r and p for primary
p_d = src_d; //primary copy --- make this a reference to ps_d to save axpys
r_d = p_d;
//MdagM+m[0]
precisionChange(p_f, p_d, pc_wk_d_to_s);
Linop_f.HermOpAndNorm(p_f,mmp_f,d,qq); // mmp = MdagM p d=real(dot(p, mmp)), qq=norm2(mmp)
precisionChange(tmp_d, mmp_f, pc_wk_s_to_d);
Linop_d.HermOpAndNorm(p_d,mmp_d,d,qq); // mmp = MdagM p d=real(dot(p, mmp)), qq=norm2(mmp)
tmp_d = tmp_d - mmp_d;
std::cout << " Testing operators match "<<norm2(mmp_d)<<" f "<<norm2(mmp_f)<<" diff "<< norm2(tmp_d)<<std::endl;
assert(norm2(tmp_d)< 1.0);
axpy(mmp_d,mass[0],p_d,mmp_d);
RealD rn = norm2(p_d);
d += rn*mass[0];
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_d,b,mmp_d,r_d);
for(int s=0;s<nshift;s++) {
axpby(psi_d[s],0.,-bs[s]*alpha[s],src_d,src_d);
}
///////////////////////////////////////
// Timers
///////////////////////////////////////
GridStopWatch AXPYTimer, ShiftTimer, QRTimer, MatrixTimer, SolverTimer, PrecChangeTimer, CleanupTimer;
SolverTimer.Start();
// Iteration loop
int k;
for (k=1;k<=MaxIterationsMshift;k++){
a = c /cp;
AXPYTimer.Start();
axpy(p_d,a,p_d,r_d);
for(int s=0;s<nshift;s++){
if ( ! converged[s] ) {
if (s==0){
axpy(ps_d[s],a,ps_d[s],r_d);
} else{
RealD as =a *z[s][iz]*bs[s] /(z[s][1-iz]*b);
axpby(ps_d[s],z[s][iz],as,r_d,ps_d[s]);
}
}
}
AXPYTimer.Stop();
PrecChangeTimer.Start();
precisionChange(p_f, p_d, pc_wk_d_to_s); //get back single prec search direction for linop
PrecChangeTimer.Stop();
cp=c;
MatrixTimer.Start();
Linop_f.HermOp(p_f,mmp_f);
MatrixTimer.Stop();
PrecChangeTimer.Start();
precisionChange(mmp_d, mmp_f, pc_wk_s_to_d); // From Float to Double
PrecChangeTimer.Stop();
AXPYTimer.Start();
d=real(innerProduct(p_d,mmp_d));
axpy(mmp_d,mass[0],p_d,mmp_d);
AXPYTimer.Stop();
RealD rn = norm2(p_d);
d += rn*mass[0];
bp=b;
b=-cp/d;
// Toggle the recurrence history
bs[0] = b;
iz = 1-iz;
ShiftTimer.Start();
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
}
}
ShiftTimer.Stop();
//Update double precision solutions
AXPYTimer.Start();
for(int s=0;s<nshift;s++){
int ss = s;
if( (!converged[s]) ) {
axpy(psi_d[ss],-bs[s]*alpha[s],ps_d[s],psi_d[ss]);
}
}
//Perform reliable update if necessary; otherwise update residual from single-prec mmp
c = axpy_norm(r_d,b,mmp_d,r_d);
AXPYTimer.Stop();
if(k % ReliableUpdateFreq == 0){
RealD c_old = c;
//Replace r with true residual
MatrixTimer.Start();
Linop_d.HermOp(psi_d[0],mmp_d);
MatrixTimer.Stop();
AXPYTimer.Start();
axpy(mmp_d,mass[0],psi_d[0],mmp_d);
c = axpy_norm(r_d, -1.0, mmp_d, src_d);
AXPYTimer.Stop();
std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrec k="<<k<< ", replaced |r|^2 = "<<c_old <<" with |r|^2 = "<<c<<std::endl;
}
// Convergence checks
int all_converged = 1;
for(int s=0;s<nshift;s++){
if ( (!converged[s]) ){
IterationsToCompleteShift[s] = k;
RealD css = c * z[s][iz]* z[s][iz];
if(css<rsqf[s]){
if ( ! converged[s] )
std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrec k="<<k<<" Shift "<<s<<" has converged"<<std::endl;
converged[s]=1;
} else {
all_converged=0;
}
}
}
if ( all_converged || k == MaxIterationsMshift-1){
SolverTimer.Stop();
if ( all_converged ){
std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrec: All shifts have converged iteration "<<k<<std::endl;
std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrec: Checking solutions"<<std::endl;
} else {
std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrec: Not all shifts have converged iteration "<<k<<std::endl;
}
// Check answers
for(int s=0; s < nshift; s++) {
Linop_d.HermOpAndNorm(psi_d[s],mmp_d,d,qq);
axpy(tmp_d,mass[s],psi_d[s],mmp_d);
axpy(r_d,-alpha[s],src_d,tmp_d);
RealD rn = norm2(r_d);
RealD cn = norm2(src_d);
TrueResidualShift[s] = std::sqrt(rn/cn);
std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrec: shift["<<s<<"] true residual "<< TrueResidualShift[s] << " target " << mresidual[s] << std::endl;
//If we have not reached the desired tolerance, do a (mixed precision) CG cleanup
if(rn >= rsq[s]){
CleanupTimer.Start();
std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrec: performing cleanup step for shift " << s << std::endl;
//Setup linear operators for final cleanup
ConjugateGradientMultiShiftMixedPrecSupport::ShiftedLinop<FieldD> Linop_shift_d(Linop_d, mass[s]);
ConjugateGradientMultiShiftMixedPrecSupport::ShiftedLinop<FieldF> Linop_shift_f(Linop_f, mass[s]);
MixedPrecisionConjugateGradient<FieldD,FieldF> cg(mresidual[s], MaxIterations, MaxIterations, SinglePrecGrid, Linop_shift_f, Linop_shift_d);
cg(src_d, psi_d[s]);
TrueResidualShift[s] = cg.TrueResidual;
CleanupTimer.Stop();
}
}
std::cout << GridLogMessage << "ConjugateGradientMultiShiftMixedPrec: Time Breakdown for body"<<std::endl;
std::cout << GridLogMessage << "\tSolver " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\t\tAXPY " << AXPYTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\t\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\t\tShift " << ShiftTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\t\tPrecision Change " << PrecChangeTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tFinal Cleanup " << CleanupTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tSolver+Cleanup " << SolverTimer.Elapsed() + CleanupTimer.Elapsed() << std::endl;
IterationsToComplete = k;
return;
}
}
std::cout<<GridLogMessage<<"CG multi shift did not converge"<<std::endl;
assert(0);
}
};
NAMESPACE_END(Grid);
#endif

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,255 +23,234 @@ Author: Christopher Kelly <ckelly@phys.columbia.edu>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_CONJUGATE_GRADIENT_RELIABLE_UPDATE_H #ifndef GRID_CONJUGATE_GRADIENT_RELIABLE_UPDATE_H
#define GRID_CONJUGATE_GRADIENT_RELIABLE_UPDATE_H #define GRID_CONJUGATE_GRADIENT_RELIABLE_UPDATE_H
NAMESPACE_BEGIN(Grid); namespace Grid {
template<class FieldD,class FieldF, template<class FieldD,class FieldF, typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0>
typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0, class ConjugateGradientReliableUpdate : public LinearFunction<FieldD> {
typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> public:
class ConjugateGradientReliableUpdate : public LinearFunction<FieldD> { bool ErrorOnNoConverge; // throw an assert when the CG fails to converge.
public: // Defaults true.
bool ErrorOnNoConverge; // throw an assert when the CG fails to converge. RealD Tolerance;
// Defaults true. Integer MaxIterations;
RealD Tolerance; Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
Integer MaxIterations; Integer ReliableUpdatesPerformed;
Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
Integer ReliableUpdatesPerformed;
bool DoFinalCleanup; //Final DP cleanup, defaults to true bool DoFinalCleanup; //Final DP cleanup, defaults to true
Integer IterationsToCleanup; //Final DP cleanup step iterations Integer IterationsToCleanup; //Final DP cleanup step iterations
LinearOperatorBase<FieldF> &Linop_f; LinearOperatorBase<FieldF> &Linop_f;
LinearOperatorBase<FieldD> &Linop_d; LinearOperatorBase<FieldD> &Linop_d;
GridBase* SinglePrecGrid; GridBase* SinglePrecGrid;
RealD Delta; //reliable update parameter. A reliable update is performed when the residual drops by a factor of Delta relative to its value at the last update RealD Delta; //reliable update parameter
//Optional ability to switch to a different linear operator once the tolerance reaches a certain point. Useful for single/half -> single/single //Optional ability to switch to a different linear operator once the tolerance reaches a certain point. Useful for single/half -> single/single
LinearOperatorBase<FieldF> *Linop_fallback; LinearOperatorBase<FieldF> *Linop_fallback;
RealD fallback_transition_tol; RealD fallback_transition_tol;
ConjugateGradientReliableUpdate(RealD tol, Integer maxit, RealD _delta, GridBase* _sp_grid, LinearOperatorBase<FieldF> &_Linop_f, LinearOperatorBase<FieldD> &_Linop_d, bool err_on_no_conv = true) ConjugateGradientReliableUpdate(RealD tol, Integer maxit, RealD _delta, GridBase* _sp_grid, LinearOperatorBase<FieldF> &_Linop_f, LinearOperatorBase<FieldD> &_Linop_d, bool err_on_no_conv = true)
: Tolerance(tol), : Tolerance(tol),
MaxIterations(maxit), MaxIterations(maxit),
Delta(_delta), Delta(_delta),
Linop_f(_Linop_f), Linop_f(_Linop_f),
Linop_d(_Linop_d), Linop_d(_Linop_d),
SinglePrecGrid(_sp_grid), SinglePrecGrid(_sp_grid),
ErrorOnNoConverge(err_on_no_conv), ErrorOnNoConverge(err_on_no_conv),
DoFinalCleanup(true), DoFinalCleanup(true),
Linop_fallback(NULL) Linop_fallback(NULL)
{ {};
assert(Delta > 0. && Delta < 1. && "Expect 0 < Delta < 1");
};
void setFallbackLinop(LinearOperatorBase<FieldF> &_Linop_fallback, const RealD _fallback_transition_tol){ void setFallbackLinop(LinearOperatorBase<FieldF> &_Linop_fallback, const RealD _fallback_transition_tol){
Linop_fallback = &_Linop_fallback; Linop_fallback = &_Linop_fallback;
fallback_transition_tol = _fallback_transition_tol; fallback_transition_tol = _fallback_transition_tol;
}
void operator()(const FieldD &src, FieldD &psi) {
GRID_TRACE("ConjugateGradientReliableUpdate");
LinearOperatorBase<FieldF> *Linop_f_use = &Linop_f;
bool using_fallback = false;
psi.Checkerboard() = src.Checkerboard();
conformable(psi, src);
RealD cp, c, a, d, b, ssq, qq, b_pred;
FieldD p(src);
FieldD mmp(src);
FieldD r(src);
// Initial residual computation & set up
RealD guess = norm2(psi);
assert(std::isnan(guess) == 0);
Linop_d.HermOpAndNorm(psi, mmp, d, b);
r = src - mmp;
p = r;
a = norm2(p);
cp = a;
ssq = norm2(src);
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: guess " << guess << std::endl;
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: src " << ssq << std::endl;
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: mp " << d << std::endl;
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: mmp " << b << std::endl;
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: cp,r " << cp << std::endl;
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: p " << a << std::endl;
RealD rsq = Tolerance * Tolerance * ssq;
// Check if guess is really REALLY good :)
if (cp <= rsq) {
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate guess was REALLY good\n";
std::cout << GridLogMessage << "\tComputed residual " << std::sqrt(cp / ssq)<<std::endl;
return;
} }
//Single prec initialization
precisionChangeWorkspace pc_wk_sp_to_dp(src.Grid(), SinglePrecGrid);
precisionChangeWorkspace pc_wk_dp_to_sp(SinglePrecGrid, src.Grid());
FieldF r_f(SinglePrecGrid); void operator()(const FieldD &src, FieldD &psi) {
r_f.Checkerboard() = r.Checkerboard(); LinearOperatorBase<FieldF> *Linop_f_use = &Linop_f;
precisionChange(r_f, r, pc_wk_dp_to_sp); bool using_fallback = false;
psi.checkerboard = src.checkerboard;
conformable(psi, src);
FieldF psi_f(r_f); RealD cp, c, a, d, b, ssq, qq, b_pred;
psi_f = Zero();
FieldF p_f(r_f); FieldD p(src);
FieldF mmp_f(r_f); FieldD mmp(src);
FieldD r(src);
RealD MaxResidSinceLastRelUp = cp; //initial residual // Initial residual computation & set up
RealD guess = norm2(psi);
assert(std::isnan(guess) == 0);
std::cout << GridLogIterative << std::setprecision(4) Linop_d.HermOpAndNorm(psi, mmp, d, b);
<< "ConjugateGradient: k=0 residual " << cp << " target " << rsq << std::endl;
GridStopWatch LinalgTimer;
GridStopWatch MatrixTimer;
GridStopWatch SolverTimer;
GridStopWatch PrecChangeTimer;
SolverTimer.Start(); r = src - mmp;
int k = 0; p = r;
int l = 0;
for (k = 1; k <= MaxIterations; k++) {
c = cp;
MatrixTimer.Start(); a = norm2(p);
Linop_f_use->HermOpAndNorm(p_f, mmp_f, d, qq); cp = a;
MatrixTimer.Stop(); ssq = norm2(src);
LinalgTimer.Start(); std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: guess " << guess << std::endl;
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: src " << ssq << std::endl;
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: mp " << d << std::endl;
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: mmp " << b << std::endl;
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: cp,r " << cp << std::endl;
std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: p " << a << std::endl;
a = c / d; RealD rsq = Tolerance * Tolerance * ssq;
b_pred = a * (a * qq - d) / c;
cp = axpy_norm(r_f, -a, mmp_f, r_f); // Check if guess is really REALLY good :)
b = cp / c;
// Fuse these loops ; should be really easy
psi_f = a * p_f + psi_f;
//p_f = p_f * b + r_f;
LinalgTimer.Stop();
std::cout << GridLogIterative << "ConjugateGradientReliableUpdate: Iteration " << k
<< " residual " << cp << " target " << rsq << std::endl;
std::cout << GridLogDebug << "a = "<< a << " b_pred = "<< b_pred << " b = "<< b << std::endl;
std::cout << GridLogDebug << "qq = "<< qq << " d = "<< d << " c = "<< c << std::endl;
if(cp > MaxResidSinceLastRelUp){
std::cout << GridLogIterative << "ConjugateGradientReliableUpdate: updating MaxResidSinceLastRelUp : " << MaxResidSinceLastRelUp << " -> " << cp << std::endl;
MaxResidSinceLastRelUp = cp;
}
// Stopping condition
if (cp <= rsq) { if (cp <= rsq) {
//Although not written in the paper, I assume that I have to add on the final solution std::cout << GridLogMessage << "ConjugateGradientReliableUpdate guess was REALLY good\n";
PrecChangeTimer.Start(); std::cout << GridLogMessage << "\tComputed residual " << sqrt(cp / ssq)<<std::endl;
precisionChange(mmp, psi_f, pc_wk_sp_to_dp);
PrecChangeTimer.Stop();
psi = psi + mmp;
SolverTimer.Stop();
Linop_d.HermOpAndNorm(psi, mmp, d, qq);
p = mmp - src;
RealD srcnorm = std::sqrt(norm2(src));
RealD resnorm = std::sqrt(norm2(p));
RealD true_residual = resnorm / srcnorm;
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate Converged on iteration " << k << " after " << l << " reliable updates" << std::endl;
std::cout << GridLogMessage << "\tComputed residual " << std::sqrt(cp / ssq)<<std::endl;
std::cout << GridLogMessage << "\tTrue residual " << true_residual<<std::endl;
std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
std::cout << GridLogMessage << "Time breakdown "<<std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tLinalg " << LinalgTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tPrecChange " << PrecChangeTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tPrecChange avg time " << PrecChangeTimer.Elapsed()/(2*l+1) <<std::endl;
IterationsToComplete = k;
ReliableUpdatesPerformed = l;
if(DoFinalCleanup){
//Do a final CG to cleanup
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate performing final cleanup.\n";
ConjugateGradient<FieldD> CG(Tolerance,MaxIterations);
CG.ErrorOnNoConverge = ErrorOnNoConverge;
CG(Linop_d,src,psi);
IterationsToCleanup = CG.IterationsToComplete;
}
else if (ErrorOnNoConverge) assert(true_residual / Tolerance < 10000.0);
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate complete.\n";
return; return;
} }
else if(cp < Delta * MaxResidSinceLastRelUp) { //reliable update
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate " //Single prec initialization
<< cp << "(residual) < " << Delta << "(Delta) * " << MaxResidSinceLastRelUp << "(MaxResidSinceLastRelUp) on iteration " << k << " : performing reliable update\n"; FieldF r_f(SinglePrecGrid);
PrecChangeTimer.Start(); r_f.checkerboard = r.checkerboard;
precisionChange(mmp, psi_f, pc_wk_sp_to_dp); precisionChange(r_f, r);
PrecChangeTimer.Stop();
psi = psi + mmp; FieldF psi_f(r_f);
psi_f = zero;
FieldF p_f(r_f);
FieldF mmp_f(r_f);
RealD MaxResidSinceLastRelUp = cp; //initial residual
std::cout << GridLogIterative << std::setprecision(4)
<< "ConjugateGradient: k=0 residual " << cp << " target " << rsq << std::endl;
GridStopWatch LinalgTimer;
GridStopWatch MatrixTimer;
GridStopWatch SolverTimer;
SolverTimer.Start();
int k = 0;
int l = 0;
for (k = 1; k <= MaxIterations; k++) {
c = cp;
MatrixTimer.Start(); MatrixTimer.Start();
Linop_d.HermOpAndNorm(psi, mmp, d, qq); Linop_f_use->HermOpAndNorm(p_f, mmp_f, d, qq);
MatrixTimer.Stop(); MatrixTimer.Stop();
LinalgTimer.Start();
a = c / d;
b_pred = a * (a * qq - d) / c;
cp = axpy_norm(r_f, -a, mmp_f, r_f);
b = cp / c;
// Fuse these loops ; should be really easy
psi_f = a * p_f + psi_f;
//p_f = p_f * b + r_f;
LinalgTimer.Stop();
std::cout << GridLogIterative << "ConjugateGradientReliableUpdate: Iteration " << k
<< " residual " << cp << " target " << rsq << std::endl;
std::cout << GridLogDebug << "a = "<< a << " b_pred = "<< b_pred << " b = "<< b << std::endl;
std::cout << GridLogDebug << "qq = "<< qq << " d = "<< d << " c = "<< c << std::endl;
if(cp > MaxResidSinceLastRelUp){
std::cout << GridLogIterative << "ConjugateGradientReliableUpdate: updating MaxResidSinceLastRelUp : " << MaxResidSinceLastRelUp << " -> " << cp << std::endl;
MaxResidSinceLastRelUp = cp;
}
// Stopping condition
if (cp <= rsq) {
//Although not written in the paper, I assume that I have to add on the final solution
precisionChange(mmp, psi_f);
psi = psi + mmp;
r = src - mmp;
SolverTimer.Stop();
Linop_d.HermOpAndNorm(psi, mmp, d, qq);
p = mmp - src;
psi_f = Zero(); RealD srcnorm = sqrt(norm2(src));
PrecChangeTimer.Start(); RealD resnorm = sqrt(norm2(p));
precisionChange(r_f, r, pc_wk_dp_to_sp); RealD true_residual = resnorm / srcnorm;
PrecChangeTimer.Stop();
cp = norm2(r);
MaxResidSinceLastRelUp = cp;
b = cp/c; std::cout << GridLogMessage << "ConjugateGradientReliableUpdate Converged on iteration " << k << " after " << l << " reliable updates" << std::endl;
std::cout << GridLogMessage << "\tComputed residual " << sqrt(cp / ssq)<<std::endl;
std::cout << GridLogMessage << "\tTrue residual " << true_residual<<std::endl;
std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
std::cout << GridLogMessage << "Time breakdown "<<std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tLinalg " << LinalgTimer.Elapsed() <<std::endl;
IterationsToComplete = k;
ReliableUpdatesPerformed = l;
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate new residual " << cp << std::endl; if(DoFinalCleanup){
//Do a final CG to cleanup
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate performing final cleanup.\n";
ConjugateGradient<FieldD> CG(Tolerance,MaxIterations);
CG.ErrorOnNoConverge = ErrorOnNoConverge;
CG(Linop_d,src,psi);
IterationsToCleanup = CG.IterationsToComplete;
}
else if (ErrorOnNoConverge) assert(true_residual / Tolerance < 10000.0);
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate complete.\n";
return;
}
else if(cp < Delta * MaxResidSinceLastRelUp) { //reliable update
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate "
<< cp << "(residual) < " << Delta << "(Delta) * " << MaxResidSinceLastRelUp << "(MaxResidSinceLastRelUp) on iteration " << k << " : performing reliable update\n";
precisionChange(mmp, psi_f);
psi = psi + mmp;
Linop_d.HermOpAndNorm(psi, mmp, d, qq);
r = src - mmp;
psi_f = zero;
precisionChange(r_f, r);
cp = norm2(r);
MaxResidSinceLastRelUp = cp;
b = cp/c;
l = l+1; std::cout << GridLogMessage << "ConjugateGradientReliableUpdate new residual " << cp << std::endl;
}
l = l+1;
}
p_f = p_f * b + r_f; //update search vector after reliable update appears to help convergence p_f = p_f * b + r_f; //update search vector after reliable update appears to help convergence
if(!using_fallback && Linop_fallback != NULL && cp < fallback_transition_tol){ if(!using_fallback && Linop_fallback != NULL && cp < fallback_transition_tol){
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate switching to fallback linear operator on iteration " << k << " at residual " << cp << std::endl; std::cout << GridLogMessage << "ConjugateGradientReliableUpdate switching to fallback linear operator on iteration " << k << " at residual " << cp << std::endl;
Linop_f_use = Linop_fallback; Linop_f_use = Linop_fallback;
using_fallback = true; using_fallback = true;
} }
} }
std::cout << GridLogMessage << "ConjugateGradientReliableUpdate did NOT converge" std::cout << GridLogMessage << "ConjugateGradientReliableUpdate did NOT converge"
<< std::endl; << std::endl;
if (ErrorOnNoConverge) assert(0); if (ErrorOnNoConverge) assert(0);
IterationsToComplete = k; IterationsToComplete = k;
ReliableUpdatesPerformed = l; ReliableUpdatesPerformed = l;
} }
};
}; };
NAMESPACE_END(Grid);
#endif #endif

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -24,90 +24,88 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_CONJUGATE_RESIDUAL_H #ifndef GRID_CONJUGATE_RESIDUAL_H
#define GRID_CONJUGATE_RESIDUAL_H #define GRID_CONJUGATE_RESIDUAL_H
NAMESPACE_BEGIN(Grid); namespace Grid {
///////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////
// Base classes for iterative processes based on operators // Base classes for iterative processes based on operators
// single input vec, single output vec. // single input vec, single output vec.
///////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////
template<class Field> template<class Field>
class ConjugateResidual : public OperatorFunction<Field> { class ConjugateResidual : public OperatorFunction<Field> {
public: public:
using OperatorFunction<Field>::operator(); RealD Tolerance;
Integer MaxIterations;
int verbose;
RealD Tolerance; ConjugateResidual(RealD tol,Integer maxit) : Tolerance(tol), MaxIterations(maxit) {
Integer MaxIterations; verbose=0;
int verbose; };
ConjugateResidual(RealD tol,Integer maxit) : Tolerance(tol), MaxIterations(maxit) { void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
verbose=0;
};
void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){ RealD a, b, c, d;
RealD cp, ssq,rsq;
RealD a, b; // c, d;
RealD cp, ssq,rsq;
RealD rAr, rAAr, rArp; RealD rAr, rAAr, rArp;
RealD pAp, pAAp; RealD pAp, pAAp;
GridBase *grid = src.Grid(); GridBase *grid = src._grid;
psi=Zero(); psi=zero;
Field r(grid), p(grid), Ap(grid), Ar(grid); Field r(grid), p(grid), Ap(grid), Ar(grid);
r=src; r=src;
p=src; p=src;
Linop.HermOpAndNorm(p,Ap,pAp,pAAp);
Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
cp =norm2(r);
ssq=norm2(src);
rsq=Tolerance*Tolerance*ssq;
if (verbose) std::cout<<GridLogMessage<<"ConjugateResidual: iteration " <<0<<" residual "<<cp<< " target"<< rsq<<std::endl;
for(int k=1;k<MaxIterations;k++){
a = rAr/pAAp;
axpy(psi,a,p,psi);
cp = axpy_norm(r,-a,Ap,r);
rArp=rAr;
Linop.HermOpAndNorm(p,Ap,pAp,pAAp);
Linop.HermOpAndNorm(r,Ar,rAr,rAAr); Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
b =rAr/rArp; cp =norm2(r);
ssq=norm2(src);
axpy(p,b,p,r); rsq=Tolerance*Tolerance*ssq;
pAAp=axpy_norm(Ap,b,Ap,Ar);
if (verbose) std::cout<<GridLogMessage<<"ConjugateResidual: iteration " <<0<<" residual "<<cp<< " target"<< rsq<<std::endl;
if(verbose) std::cout<<GridLogMessage<<"ConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
for(int k=1;k<MaxIterations;k++){
a = rAr/pAAp;
axpy(psi,a,p,psi);
cp = axpy_norm(r,-a,Ap,r);
rArp=rAr;
Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
b =rAr/rArp;
axpy(p,b,p,r);
pAAp=axpy_norm(Ap,b,Ap,Ar);
if(verbose) std::cout<<GridLogMessage<<"ConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
if(cp<rsq) {
Linop.HermOp(psi,Ap);
axpy(r,-1.0,src,Ap);
RealD true_resid = norm2(r)/ssq;
std::cout<<GridLogMessage<<"ConjugateResidual: Converged on iteration " <<k
<< " computed residual "<<sqrt(cp/ssq)
<< " true residual "<<sqrt(true_resid)
<< " target " <<Tolerance <<std::endl;
return;
}
if(cp<rsq) {
Linop.HermOp(psi,Ap);
axpy(r,-1.0,src,Ap);
RealD true_resid = norm2(r)/ssq;
std::cout<<GridLogMessage<<"ConjugateResidual: Converged on iteration " <<k
<< " computed residual "<<std::sqrt(cp/ssq)
<< " true residual "<<std::sqrt(true_resid)
<< " target " <<Tolerance <<std::endl;
return;
} }
std::cout<<GridLogMessage<<"ConjugateResidual did NOT converge"<<std::endl;
assert(0);
} }
};
std::cout<<GridLogMessage<<"ConjugateResidual did NOT converge"<<std::endl; }
assert(0);
}
};
NAMESPACE_END(Grid);
#endif #endif

View File

@ -33,19 +33,12 @@ namespace Grid {
template<class Field> template<class Field>
class ZeroGuesser: public LinearFunction<Field> { class ZeroGuesser: public LinearFunction<Field> {
public: public:
using LinearFunction<Field>::operator(); virtual void operator()(const Field &src, Field &guess) { guess = zero; };
virtual void operator()(const Field &src, Field &guess) { guess = Zero(); };
};
template<class Field>
class DoNothingGuesser: public LinearFunction<Field> {
public:
using LinearFunction<Field>::operator();
virtual void operator()(const Field &src, Field &guess) { };
}; };
template<class Field> template<class Field>
class SourceGuesser: public LinearFunction<Field> { class SourceGuesser: public LinearFunction<Field> {
public: public:
using LinearFunction<Field>::operator();
virtual void operator()(const Field &src, Field &guess) { guess = src; }; virtual void operator()(const Field &src, Field &guess) { guess = src; };
}; };
@ -57,29 +50,20 @@ class DeflatedGuesser: public LinearFunction<Field> {
private: private:
const std::vector<Field> &evec; const std::vector<Field> &evec;
const std::vector<RealD> &eval; const std::vector<RealD> &eval;
const unsigned int N;
public: public:
using LinearFunction<Field>::operator();
DeflatedGuesser(const std::vector<Field> & _evec,const std::vector<RealD> & _eval) DeflatedGuesser(const std::vector<Field> & _evec,const std::vector<RealD> & _eval) : evec(_evec), eval(_eval) {};
: DeflatedGuesser(_evec, _eval, _evec.size())
{}
DeflatedGuesser(const std::vector<Field> & _evec, const std::vector<RealD> & _eval, const unsigned int _N)
: evec(_evec), eval(_eval), N(_N)
{
assert(evec.size()==eval.size());
assert(N <= evec.size());
}
virtual void operator()(const Field &src,Field &guess) { virtual void operator()(const Field &src,Field &guess) {
guess = Zero(); guess = zero;
assert(evec.size()==eval.size());
auto N = evec.size();
for (int i=0;i<N;i++) { for (int i=0;i<N;i++) {
const Field& tmp = evec[i]; const Field& tmp = evec[i];
axpy(guess,TensorRemove(innerProduct(tmp,src)) / eval[i],tmp,guess); axpy(guess,TensorRemove(innerProduct(tmp,src)) / eval[i],tmp,guess);
} }
guess.Checkerboard() = src.Checkerboard(); guess.checkerboard = src.checkerboard;
} }
}; };
@ -91,7 +75,6 @@ private:
const std::vector<RealD> &eval_coarse; const std::vector<RealD> &eval_coarse;
public: public:
using LinearFunction<FineField>::operator();
LocalCoherenceDeflatedGuesser(const std::vector<FineField> &_subspace, LocalCoherenceDeflatedGuesser(const std::vector<FineField> &_subspace,
const std::vector<CoarseField> &_evec_coarse, const std::vector<CoarseField> &_evec_coarse,
const std::vector<RealD> &_eval_coarse) const std::vector<RealD> &_eval_coarse)
@ -103,53 +86,17 @@ public:
void operator()(const FineField &src,FineField &guess) { void operator()(const FineField &src,FineField &guess) {
int N = (int)evec_coarse.size(); int N = (int)evec_coarse.size();
CoarseField src_coarse(evec_coarse[0].Grid()); CoarseField src_coarse(evec_coarse[0]._grid);
CoarseField guess_coarse(evec_coarse[0].Grid()); guess_coarse = Zero(); CoarseField guess_coarse(evec_coarse[0]._grid); guess_coarse = zero;
blockProject(src_coarse,src,subspace); blockProject(src_coarse,src,subspace);
for (int i=0;i<N;i++) { for (int i=0;i<N;i++) {
const CoarseField & tmp = evec_coarse[i]; const CoarseField & tmp = evec_coarse[i];
axpy(guess_coarse,TensorRemove(innerProduct(tmp,src_coarse)) / eval_coarse[i],tmp,guess_coarse); axpy(guess_coarse,TensorRemove(innerProduct(tmp,src_coarse)) / eval_coarse[i],tmp,guess_coarse);
} }
blockPromote(guess_coarse,guess,subspace); blockPromote(guess_coarse,guess,subspace);
guess.Checkerboard() = src.Checkerboard(); guess.checkerboard = src.checkerboard;
};
void operator()(const std::vector<FineField> &src,std::vector<FineField> &guess) {
int Nevec = (int)evec_coarse.size();
int Nsrc = (int)src.size();
// make temp variables
std::vector<CoarseField> src_coarse(Nsrc,evec_coarse[0].Grid());
std::vector<CoarseField> guess_coarse(Nsrc,evec_coarse[0].Grid());
//Preporcessing
std::cout << GridLogMessage << "Start BlockProject for loop" << std::endl;
for (int j=0;j<Nsrc;j++)
{
guess_coarse[j] = Zero();
std::cout << GridLogMessage << "BlockProject iter: " << j << std::endl;
blockProject(src_coarse[j],src[j],subspace);
}
//deflation set up for eigen vector batchsize 1 and source batch size equal number of sources
std::cout << GridLogMessage << "Start ProjectAccum for loop" << std::endl;
for (int i=0;i<Nevec;i++)
{
std::cout << GridLogMessage << "ProjectAccum Nvec: " << i << std::endl;
const CoarseField & tmp = evec_coarse[i];
for (int j=0;j<Nsrc;j++)
{
axpy(guess_coarse[j],TensorRemove(innerProduct(tmp,src_coarse[j])) / eval_coarse[i],tmp,guess_coarse[j]);
}
}
//postprocessing
std::cout << GridLogMessage << "Start BlockPromote for loop" << std::endl;
for (int j=0;j<Nsrc;j++)
{
std::cout << GridLogMessage << "BlockProject iter: " << j << std::endl;
blockPromote(guess_coarse[j],guess[j],subspace);
guess[j].Checkerboard() = src[j].Checkerboard();
}
};
}; };
};

View File

@ -1,258 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/FlexibleCommunicationAvoidingGeneralisedMinimalResidual.h
Copyright (C) 2015
Author: Daniel Richtmann <daniel.richtmann@ur.de>
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 */
#ifndef GRID_FLEXIBLE_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
#define GRID_FLEXIBLE_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
namespace Grid {
template<class Field>
class FlexibleCommunicationAvoidingGeneralisedMinimalResidual : public OperatorFunction<Field> {
public:
using OperatorFunction<Field>::operator();
bool ErrorOnNoConverge; // Throw an assert when FCAGMRES fails to converge,
// defaults to true
RealD Tolerance;
Integer MaxIterations;
Integer RestartLength;
Integer MaxNumberOfRestarts;
Integer IterationCount; // Number of iterations the FCAGMRES took to finish,
// filled in upon completion
GridStopWatch MatrixTimer;
GridStopWatch PrecTimer;
GridStopWatch LinalgTimer;
GridStopWatch QrTimer;
GridStopWatch CompSolutionTimer;
Eigen::MatrixXcd H;
std::vector<ComplexD> y;
std::vector<ComplexD> gamma;
std::vector<ComplexD> c;
std::vector<ComplexD> s;
LinearFunction<Field> &Preconditioner;
FlexibleCommunicationAvoidingGeneralisedMinimalResidual(RealD tol,
Integer maxit,
LinearFunction<Field> &Prec,
Integer restart_length,
bool err_on_no_conv = true)
: Tolerance(tol)
, MaxIterations(maxit)
, RestartLength(restart_length)
, MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
, ErrorOnNoConverge(err_on_no_conv)
, H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
, y(RestartLength + 1, 0.)
, gamma(RestartLength + 1, 0.)
, c(RestartLength + 1, 0.)
, s(RestartLength + 1, 0.)
, Preconditioner(Prec) {};
void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
std::cout << GridLogWarning << "This algorithm currently doesn't differ from regular FGMRES" << std::endl;
psi.Checkerboard() = src.Checkerboard();
conformable(psi, src);
RealD guess = norm2(psi);
assert(std::isnan(guess) == 0);
RealD cp;
RealD ssq = norm2(src);
RealD rsq = Tolerance * Tolerance * ssq;
Field r(src.Grid());
std::cout << std::setprecision(4) << std::scientific;
std::cout << GridLogIterative << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual: guess " << guess << std::endl;
std::cout << GridLogIterative << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual: src " << ssq << std::endl;
PrecTimer.Reset();
MatrixTimer.Reset();
LinalgTimer.Reset();
QrTimer.Reset();
CompSolutionTimer.Reset();
GridStopWatch SolverTimer;
SolverTimer.Start();
IterationCount = 0;
for (int k=0; k<MaxNumberOfRestarts; k++) {
cp = outerLoopBody(LinOp, src, psi, rsq);
// Stopping condition
if (cp <= rsq) {
SolverTimer.Stop();
LinOp.Op(psi,r);
axpy(r,-1.0,src,r);
RealD srcnorm = sqrt(ssq);
RealD resnorm = sqrt(norm2(r));
RealD true_residual = resnorm / srcnorm;
std::cout << GridLogMessage << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual: Converged on iteration " << IterationCount
<< " computed residual " << sqrt(cp / ssq)
<< " true residual " << true_residual
<< " target " << Tolerance << std::endl;
std::cout << GridLogMessage << "FCAGMRES Time elapsed: Total " << SolverTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "FCAGMRES Time elapsed: Precon " << PrecTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "FCAGMRES Time elapsed: Matrix " << MatrixTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "FCAGMRES Time elapsed: Linalg " << LinalgTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "FCAGMRES Time elapsed: QR " << QrTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "FCAGMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
return;
}
}
std::cout << GridLogMessage << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual did NOT converge" << std::endl;
if (ErrorOnNoConverge)
assert(0);
}
RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
RealD cp = 0;
Field w(src.Grid());
Field r(src.Grid());
// these should probably be made class members so that they are only allocated once, not in every restart
std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
std::vector<Field> z(RestartLength + 1, src.Grid()); for (auto &elem : z) elem = Zero();
MatrixTimer.Start();
LinOp.Op(psi, w);
MatrixTimer.Stop();
LinalgTimer.Start();
r = src - w;
gamma[0] = sqrt(norm2(r));
v[0] = (1. / gamma[0]) * r;
LinalgTimer.Stop();
for (int i=0; i<RestartLength; i++) {
IterationCount++;
arnoldiStep(LinOp, v, z, w, i);
qrUpdate(i);
cp = norm(gamma[i+1]);
std::cout << GridLogIterative << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual: Iteration " << IterationCount
<< " residual " << cp << " target " << rsq << std::endl;
if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
computeSolution(z, psi, i);
return cp;
}
}
assert(0); // Never reached
return cp;
}
void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, std::vector<Field> &z, Field &w, int iter) {
PrecTimer.Start();
Preconditioner(v[iter], z[iter]);
PrecTimer.Stop();
MatrixTimer.Start();
LinOp.Op(z[iter], w);
MatrixTimer.Stop();
LinalgTimer.Start();
for (int i = 0; i <= iter; ++i) {
H(iter, i) = innerProduct(v[i], w);
w = w - ComplexD(H(iter, i)) * v[i];
}
H(iter, iter + 1) = sqrt(norm2(w));
v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
LinalgTimer.Stop();
}
void qrUpdate(int iter) {
QrTimer.Start();
for (int i = 0; i < iter ; ++i) {
auto tmp = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
H(iter, i) = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
H(iter, i + 1) = tmp;
}
// Compute new Givens Rotation
auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
c[iter] = H(iter, iter) / nu;
s[iter] = H(iter, iter + 1) / nu;
// Apply new Givens rotation
H(iter, iter) = nu;
H(iter, iter + 1) = 0.;
gamma[iter + 1] = -s[iter] * gamma[iter];
gamma[iter] = conjugate(c[iter]) * gamma[iter];
QrTimer.Stop();
}
void computeSolution(std::vector<Field> const &z, Field &psi, int iter) {
CompSolutionTimer.Start();
for (int i = iter; i >= 0; i--) {
y[i] = gamma[i];
for (int k = i + 1; k <= iter; k++)
y[i] = y[i] - ComplexD(H(k, i)) * y[k];
y[i] = y[i] / ComplexD(H(i, i));
}
for (int i = 0; i <= iter; i++)
psi = psi + z[i] * y[i];
CompSolutionTimer.Stop();
}
};
}
#endif

View File

@ -1,256 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/FlexibleGeneralisedMinimalResidual.h
Copyright (C) 2015
Author: Daniel Richtmann <daniel.richtmann@ur.de>
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 */
#ifndef GRID_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
#define GRID_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
namespace Grid {
template<class Field>
class FlexibleGeneralisedMinimalResidual : public OperatorFunction<Field> {
public:
using OperatorFunction<Field>::operator();
bool ErrorOnNoConverge; // Throw an assert when FGMRES fails to converge,
// defaults to true
RealD Tolerance;
Integer MaxIterations;
Integer RestartLength;
Integer MaxNumberOfRestarts;
Integer IterationCount; // Number of iterations the FGMRES took to finish,
// filled in upon completion
GridStopWatch MatrixTimer;
GridStopWatch PrecTimer;
GridStopWatch LinalgTimer;
GridStopWatch QrTimer;
GridStopWatch CompSolutionTimer;
Eigen::MatrixXcd H;
std::vector<ComplexD> y;
std::vector<ComplexD> gamma;
std::vector<ComplexD> c;
std::vector<ComplexD> s;
LinearFunction<Field> &Preconditioner;
FlexibleGeneralisedMinimalResidual(RealD tol,
Integer maxit,
LinearFunction<Field> &Prec,
Integer restart_length,
bool err_on_no_conv = true)
: Tolerance(tol)
, MaxIterations(maxit)
, RestartLength(restart_length)
, MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
, ErrorOnNoConverge(err_on_no_conv)
, H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
, y(RestartLength + 1, 0.)
, gamma(RestartLength + 1, 0.)
, c(RestartLength + 1, 0.)
, s(RestartLength + 1, 0.)
, Preconditioner(Prec) {};
void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
psi.Checkerboard() = src.Checkerboard();
conformable(psi, src);
RealD guess = norm2(psi);
assert(std::isnan(guess) == 0);
RealD cp;
RealD ssq = norm2(src);
RealD rsq = Tolerance * Tolerance * ssq;
Field r(src.Grid());
std::cout << std::setprecision(4) << std::scientific;
std::cout << GridLogIterative << "FlexibleGeneralisedMinimalResidual: guess " << guess << std::endl;
std::cout << GridLogIterative << "FlexibleGeneralisedMinimalResidual: src " << ssq << std::endl;
PrecTimer.Reset();
MatrixTimer.Reset();
LinalgTimer.Reset();
QrTimer.Reset();
CompSolutionTimer.Reset();
GridStopWatch SolverTimer;
SolverTimer.Start();
IterationCount = 0;
for (int k=0; k<MaxNumberOfRestarts; k++) {
cp = outerLoopBody(LinOp, src, psi, rsq);
// Stopping condition
if (cp <= rsq) {
SolverTimer.Stop();
LinOp.Op(psi,r);
axpy(r,-1.0,src,r);
RealD srcnorm = sqrt(ssq);
RealD resnorm = sqrt(norm2(r));
RealD true_residual = resnorm / srcnorm;
std::cout << GridLogMessage << "FlexibleGeneralisedMinimalResidual: Converged on iteration " << IterationCount
<< " computed residual " << sqrt(cp / ssq)
<< " true residual " << true_residual
<< " target " << Tolerance << std::endl;
std::cout << GridLogMessage << "FGMRES Time elapsed: Total " << SolverTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "FGMRES Time elapsed: Precon " << PrecTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "FGMRES Time elapsed: Matrix " << MatrixTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "FGMRES Time elapsed: Linalg " << LinalgTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "FGMRES Time elapsed: QR " << QrTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "FGMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
return;
}
}
std::cout << GridLogMessage << "FlexibleGeneralisedMinimalResidual did NOT converge" << std::endl;
if (ErrorOnNoConverge)
assert(0);
}
RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
RealD cp = 0;
Field w(src.Grid());
Field r(src.Grid());
// these should probably be made class members so that they are only allocated once, not in every restart
std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
std::vector<Field> z(RestartLength + 1, src.Grid()); for (auto &elem : z) elem = Zero();
MatrixTimer.Start();
LinOp.Op(psi, w);
MatrixTimer.Stop();
LinalgTimer.Start();
r = src - w;
gamma[0] = sqrt(norm2(r));
v[0] = (1. / gamma[0]) * r;
LinalgTimer.Stop();
for (int i=0; i<RestartLength; i++) {
IterationCount++;
arnoldiStep(LinOp, v, z, w, i);
qrUpdate(i);
cp = norm(gamma[i+1]);
std::cout << GridLogIterative << "FlexibleGeneralisedMinimalResidual: Iteration " << IterationCount
<< " residual " << cp << " target " << rsq << std::endl;
if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
computeSolution(z, psi, i);
return cp;
}
}
assert(0); // Never reached
return cp;
}
void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, std::vector<Field> &z, Field &w, int iter) {
PrecTimer.Start();
Preconditioner(v[iter], z[iter]);
PrecTimer.Stop();
MatrixTimer.Start();
LinOp.Op(z[iter], w);
MatrixTimer.Stop();
LinalgTimer.Start();
for (int i = 0; i <= iter; ++i) {
H(iter, i) = innerProduct(v[i], w);
w = w - ComplexD(H(iter, i)) * v[i];
}
H(iter, iter + 1) = sqrt(norm2(w));
v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
LinalgTimer.Stop();
}
void qrUpdate(int iter) {
QrTimer.Start();
for (int i = 0; i < iter ; ++i) {
auto tmp = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
H(iter, i) = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
H(iter, i + 1) = tmp;
}
// Compute new Givens Rotation
auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
c[iter] = H(iter, iter) / nu;
s[iter] = H(iter, iter + 1) / nu;
// Apply new Givens rotation
H(iter, iter) = nu;
H(iter, iter + 1) = 0.;
gamma[iter + 1] = -s[iter] * gamma[iter];
gamma[iter] = conjugate(c[iter]) * gamma[iter];
QrTimer.Stop();
}
void computeSolution(std::vector<Field> const &z, Field &psi, int iter) {
CompSolutionTimer.Start();
for (int i = iter; i >= 0; i--) {
y[i] = gamma[i];
for (int k = i + 1; k <= iter; k++)
y[i] = y[i] - ComplexD(H(k, i)) * y[k];
y[i] = y[i] / ComplexD(H(i, i));
}
for (int i = 0; i <= iter; i++)
psi = psi + z[i] * y[i];
CompSolutionTimer.Stop();
}
};
}
#endif

View File

@ -1,244 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/GeneralisedMinimalResidual.h
Copyright (C) 2015
Author: Daniel Richtmann <daniel.richtmann@ur.de>
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 */
#ifndef GRID_GENERALISED_MINIMAL_RESIDUAL_H
#define GRID_GENERALISED_MINIMAL_RESIDUAL_H
namespace Grid {
template<class Field>
class GeneralisedMinimalResidual : public OperatorFunction<Field> {
public:
using OperatorFunction<Field>::operator();
bool ErrorOnNoConverge; // Throw an assert when GMRES fails to converge,
// defaults to true
RealD Tolerance;
Integer MaxIterations;
Integer RestartLength;
Integer MaxNumberOfRestarts;
Integer IterationCount; // Number of iterations the GMRES took to finish,
// filled in upon completion
GridStopWatch MatrixTimer;
GridStopWatch LinalgTimer;
GridStopWatch QrTimer;
GridStopWatch CompSolutionTimer;
Eigen::MatrixXcd H;
std::vector<ComplexD> y;
std::vector<ComplexD> gamma;
std::vector<ComplexD> c;
std::vector<ComplexD> s;
GeneralisedMinimalResidual(RealD tol,
Integer maxit,
Integer restart_length,
bool err_on_no_conv = true)
: Tolerance(tol)
, MaxIterations(maxit)
, RestartLength(restart_length)
, MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
, ErrorOnNoConverge(err_on_no_conv)
, H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
, y(RestartLength + 1, 0.)
, gamma(RestartLength + 1, 0.)
, c(RestartLength + 1, 0.)
, s(RestartLength + 1, 0.) {};
void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
psi.Checkerboard() = src.Checkerboard();
conformable(psi, src);
RealD guess = norm2(psi);
assert(std::isnan(guess) == 0);
RealD cp;
RealD ssq = norm2(src);
RealD rsq = Tolerance * Tolerance * ssq;
Field r(src.Grid());
std::cout << std::setprecision(4) << std::scientific;
std::cout << GridLogIterative << "GeneralisedMinimalResidual: guess " << guess << std::endl;
std::cout << GridLogIterative << "GeneralisedMinimalResidual: src " << ssq << std::endl;
MatrixTimer.Reset();
LinalgTimer.Reset();
QrTimer.Reset();
CompSolutionTimer.Reset();
GridStopWatch SolverTimer;
SolverTimer.Start();
IterationCount = 0;
for (int k=0; k<MaxNumberOfRestarts; k++) {
cp = outerLoopBody(LinOp, src, psi, rsq);
// Stopping condition
if (cp <= rsq) {
SolverTimer.Stop();
LinOp.Op(psi,r);
axpy(r,-1.0,src,r);
RealD srcnorm = sqrt(ssq);
RealD resnorm = sqrt(norm2(r));
RealD true_residual = resnorm / srcnorm;
std::cout << GridLogMessage << "GeneralisedMinimalResidual: Converged on iteration " << IterationCount
<< " computed residual " << sqrt(cp / ssq)
<< " true residual " << true_residual
<< " target " << Tolerance << std::endl;
std::cout << GridLogMessage << "GMRES Time elapsed: Total " << SolverTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "GMRES Time elapsed: Matrix " << MatrixTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "GMRES Time elapsed: Linalg " << LinalgTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "GMRES Time elapsed: QR " << QrTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "GMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
return;
}
}
std::cout << GridLogMessage << "GeneralisedMinimalResidual did NOT converge" << std::endl;
if (ErrorOnNoConverge)
assert(0);
}
RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
RealD cp = 0;
Field w(src.Grid());
Field r(src.Grid());
// this should probably be made a class member so that it is only allocated once, not in every restart
std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
MatrixTimer.Start();
LinOp.Op(psi, w);
MatrixTimer.Stop();
LinalgTimer.Start();
r = src - w;
gamma[0] = sqrt(norm2(r));
v[0] = (1. / gamma[0]) * r;
LinalgTimer.Stop();
for (int i=0; i<RestartLength; i++) {
IterationCount++;
arnoldiStep(LinOp, v, w, i);
qrUpdate(i);
cp = norm(gamma[i+1]);
std::cout << GridLogIterative << "GeneralisedMinimalResidual: Iteration " << IterationCount
<< " residual " << cp << " target " << rsq << std::endl;
if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
computeSolution(v, psi, i);
return cp;
}
}
assert(0); // Never reached
return cp;
}
void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, Field &w, int iter) {
MatrixTimer.Start();
LinOp.Op(v[iter], w);
MatrixTimer.Stop();
LinalgTimer.Start();
for (int i = 0; i <= iter; ++i) {
H(iter, i) = innerProduct(v[i], w);
w = w - ComplexD(H(iter, i)) * v[i];
}
H(iter, iter + 1) = sqrt(norm2(w));
v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
LinalgTimer.Stop();
}
void qrUpdate(int iter) {
QrTimer.Start();
for (int i = 0; i < iter ; ++i) {
auto tmp = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
H(iter, i) = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
H(iter, i + 1) = tmp;
}
// Compute new Givens Rotation
auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
c[iter] = H(iter, iter) / nu;
s[iter] = H(iter, iter + 1) / nu;
// Apply new Givens rotation
H(iter, iter) = nu;
H(iter, iter + 1) = 0.;
gamma[iter + 1] = -s[iter] * gamma[iter];
gamma[iter] = conjugate(c[iter]) * gamma[iter];
QrTimer.Stop();
}
void computeSolution(std::vector<Field> const &v, Field &psi, int iter) {
CompSolutionTimer.Start();
for (int i = iter; i >= 0; i--) {
y[i] = gamma[i];
for (int k = i + 1; k <= iter; k++)
y[i] = y[i] - ComplexD(H(k, i)) * y[k];
y[i] = y[i] / ComplexD(H(i, i));
}
for (int i = 0; i <= iter; i++)
psi = psi + v[i] * y[i];
CompSolutionTimer.Stop();
}
};
}
#endif

File diff suppressed because it is too large Load Diff

View File

@ -35,7 +35,120 @@ Author: Christoph Lehner <clehner@bnl.gov>
//#include <zlib.h> //#include <zlib.h>
#include <sys/stat.h> #include <sys/stat.h>
NAMESPACE_BEGIN(Grid); namespace Grid {
////////////////////////////////////////////////////////
// Move following 100 LOC to lattice/Lattice_basis.h
////////////////////////////////////////////////////////
template<class Field>
void basisOrthogonalize(std::vector<Field> &basis,Field &w,int k)
{
for(int j=0; j<k; ++j){
auto ip = innerProduct(basis[j],w);
w = w - ip*basis[j];
}
}
template<class Field>
void basisRotate(std::vector<Field> &basis,Eigen::MatrixXd& Qt,int j0, int j1, int k0,int k1,int Nm)
{
typedef typename Field::vector_object vobj;
GridBase* grid = basis[0]._grid;
parallel_region
{
std::vector < vobj , commAllocator<vobj> > B(Nm); // Thread private
parallel_for_internal(int ss=0;ss < grid->oSites();ss++){
for(int j=j0; j<j1; ++j) B[j]=0.;
for(int j=j0; j<j1; ++j){
for(int k=k0; k<k1; ++k){
B[j] +=Qt(j,k) * basis[k]._odata[ss];
}
}
for(int j=j0; j<j1; ++j){
basis[j]._odata[ss] = B[j];
}
}
}
}
// Extract a single rotated vector
template<class Field>
void basisRotateJ(Field &result,std::vector<Field> &basis,Eigen::MatrixXd& Qt,int j, int k0,int k1,int Nm)
{
typedef typename Field::vector_object vobj;
GridBase* grid = basis[0]._grid;
result.checkerboard = basis[0].checkerboard;
parallel_for(int ss=0;ss < grid->oSites();ss++){
vobj B = zero;
for(int k=k0; k<k1; ++k){
B +=Qt(j,k) * basis[k]._odata[ss];
}
result._odata[ss] = B;
}
}
template<class Field>
void basisReorderInPlace(std::vector<Field> &_v,std::vector<RealD>& sort_vals, std::vector<int>& idx)
{
int vlen = idx.size();
assert(vlen>=1);
assert(vlen<=sort_vals.size());
assert(vlen<=_v.size());
for (size_t i=0;i<vlen;i++) {
if (idx[i] != i) {
//////////////////////////////////////
// idx[i] is a table of desired sources giving a permutation.
// Swap v[i] with v[idx[i]].
// Find j>i for which _vnew[j] = _vold[i],
// track the move idx[j] => idx[i]
// track the move idx[i] => i
//////////////////////////////////////
size_t j;
for (j=i;j<idx.size();j++)
if (idx[j]==i)
break;
assert(idx[i] > i); assert(j!=idx.size()); assert(idx[j]==i);
std::swap(_v[i]._odata,_v[idx[i]]._odata); // should use vector move constructor, no data copy
std::swap(sort_vals[i],sort_vals[idx[i]]);
idx[j] = idx[i];
idx[i] = i;
}
}
}
inline std::vector<int> basisSortGetIndex(std::vector<RealD>& sort_vals)
{
std::vector<int> idx(sort_vals.size());
std::iota(idx.begin(), idx.end(), 0);
// sort indexes based on comparing values in v
std::sort(idx.begin(), idx.end(), [&sort_vals](int i1, int i2) {
return ::fabs(sort_vals[i1]) < ::fabs(sort_vals[i2]);
});
return idx;
}
template<class Field>
void basisSortInPlace(std::vector<Field> & _v,std::vector<RealD>& sort_vals, bool reverse)
{
std::vector<int> idx = basisSortGetIndex(sort_vals);
if (reverse)
std::reverse(idx.begin(), idx.end());
basisReorderInPlace(_v,sort_vals,idx);
}
///////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////
// Implicitly restarted lanczos // Implicitly restarted lanczos
@ -79,16 +192,14 @@ template<class Field> class ImplicitlyRestartedLanczosHermOpTester : public Imp
RealD vv = norm2(v) / ::pow(evalMaxApprox,2.0); RealD vv = norm2(v) / ::pow(evalMaxApprox,2.0);
std::cout.precision(13); std::cout.precision(13);
int conv=0;
if( (vv<eresid*eresid) ) conv = 1;
std::cout<<GridLogIRL << "[" << std::setw(3)<<j<<"] " std::cout<<GridLogIRL << "[" << std::setw(3)<<j<<"] "
<<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")" <<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")"
<<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
<<" target " << eresid*eresid << " conv " <<conv
<<std::endl; <<std::endl;
int conv=0;
if( (vv<eresid*eresid) ) conv = 1;
return conv; return conv;
} }
}; };
@ -148,7 +259,7 @@ public:
RealD _eresid, // resid in lmdue deficit RealD _eresid, // resid in lmdue deficit
int _MaxIter, // Max iterations int _MaxIter, // Max iterations
RealD _betastp=0.0, // if beta(k) < betastp: converged RealD _betastp=0.0, // if beta(k) < betastp: converged
int _MinRestart=0, int _orth_period = 1, int _MinRestart=1, int _orth_period = 1,
IRLdiagonalisation _diagonalisation= IRLdiagonaliseWithEigen) : IRLdiagonalisation _diagonalisation= IRLdiagonaliseWithEigen) :
SimpleTester(HermOp), _PolyOp(PolyOp), _HermOp(HermOp), _Tester(Tester), SimpleTester(HermOp), _PolyOp(PolyOp), _HermOp(HermOp), _Tester(Tester),
Nstop(_Nstop) , Nk(_Nk), Nm(_Nm), Nstop(_Nstop) , Nk(_Nk), Nm(_Nm),
@ -164,7 +275,7 @@ public:
RealD _eresid, // resid in lmdue deficit RealD _eresid, // resid in lmdue deficit
int _MaxIter, // Max iterations int _MaxIter, // Max iterations
RealD _betastp=0.0, // if beta(k) < betastp: converged RealD _betastp=0.0, // if beta(k) < betastp: converged
int _MinRestart=0, int _orth_period = 1, int _MinRestart=1, int _orth_period = 1,
IRLdiagonalisation _diagonalisation= IRLdiagonaliseWithEigen) : IRLdiagonalisation _diagonalisation= IRLdiagonaliseWithEigen) :
SimpleTester(HermOp), _PolyOp(PolyOp), _HermOp(HermOp), _Tester(SimpleTester), SimpleTester(HermOp), _PolyOp(PolyOp), _HermOp(HermOp), _Tester(SimpleTester),
Nstop(_Nstop) , Nk(_Nk), Nm(_Nm), Nstop(_Nstop) , Nk(_Nk), Nm(_Nm),
@ -178,7 +289,7 @@ public:
template<typename T> static RealD normalise(T& v) template<typename T> static RealD normalise(T& v)
{ {
RealD nn = norm2(v); RealD nn = norm2(v);
nn = std::sqrt(nn); nn = sqrt(nn);
v = v * (1.0/nn); v = v * (1.0/nn);
return nn; return nn;
} }
@ -210,10 +321,10 @@ until convergence
*/ */
void calc(std::vector<RealD>& eval, std::vector<Field>& evec, const Field& src, int& Nconv, bool reverse=false) void calc(std::vector<RealD>& eval, std::vector<Field>& evec, const Field& src, int& Nconv, bool reverse=false)
{ {
GridBase *grid = src.Grid(); GridBase *grid = src._grid;
assert(grid == evec[0].Grid()); assert(grid == evec[0]._grid);
// GridLogIRL.TimingMode(1); GridLogIRL.TimingMode(1);
std::cout << GridLogIRL <<"**************************************************************************"<< std::endl; std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
std::cout << GridLogIRL <<" ImplicitlyRestartedLanczos::calc() starting iteration 0 / "<< MaxIter<< std::endl; std::cout << GridLogIRL <<" ImplicitlyRestartedLanczos::calc() starting iteration 0 / "<< MaxIter<< std::endl;
std::cout << GridLogIRL <<"**************************************************************************"<< std::endl; std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
@ -238,25 +349,20 @@ until convergence
{ {
auto src_n = src; auto src_n = src;
auto tmp = src; auto tmp = src;
std::cout << GridLogIRL << " IRL source norm " << norm2(src) << std::endl;
const int _MAX_ITER_IRL_MEVAPP_ = 50; const int _MAX_ITER_IRL_MEVAPP_ = 50;
for (int i=0;i<_MAX_ITER_IRL_MEVAPP_;i++) { for (int i=0;i<_MAX_ITER_IRL_MEVAPP_;i++) {
normalise(src_n); normalise(src_n);
_HermOp(src_n,tmp); _HermOp(src_n,tmp);
// std::cout << GridLogMessage<< tmp<<std::endl; exit(0); RealD vnum = real(innerProduct(src_n,tmp)); // HermOp.
// std::cout << GridLogIRL << " _HermOp " << norm2(tmp) << std::endl;
// RealD vnum = real(innerProduct(src_n,tmp)); // HermOp.
RealD vnum = real(innerProduct(tmp,tmp)); // HermOp^2.
RealD vden = norm2(src_n); RealD vden = norm2(src_n);
RealD na = std::sqrt(vnum/vden); RealD na = vnum/vden;
if (fabs(evalMaxApprox/na - 1.0) < 0.0001) if (fabs(evalMaxApprox/na - 1.0) < 0.05)
i=_MAX_ITER_IRL_MEVAPP_; i=_MAX_ITER_IRL_MEVAPP_;
evalMaxApprox = na; evalMaxApprox = na;
std::cout << GridLogIRL << " Approximation of largest eigenvalue: " << evalMaxApprox << std::endl; std::cout << GridLogIRL << " Approximation of largest eigenvalue: " << evalMaxApprox << std::endl;
src_n = tmp; src_n = tmp;
} }
} }
std::cout << GridLogIRL << " Final evalMaxApprox " << evalMaxApprox << std::endl;
std::vector<RealD> lme(Nm); std::vector<RealD> lme(Nm);
std::vector<RealD> lme2(Nm); std::vector<RealD> lme2(Nm);
@ -340,7 +446,7 @@ until convergence
assert(k2<Nm); assert(k2<Nm); assert(k1>0); assert(k2<Nm); assert(k2<Nm); assert(k1>0);
basisRotate(evec,Qt,k1-1,k2+1,0,Nm,Nm); /// big constraint on the basis basisRotate(evec,Qt,k1-1,k2+1,0,Nm,Nm); /// big constraint on the basis
std::cout<<GridLogIRL <<"basisRotated by Qt *"<<k1-1<<","<<k2+1<<")"<<std::endl; std::cout<<GridLogIRL <<"basisRotated by Qt"<<std::endl;
//////////////////////////////////////////////////// ////////////////////////////////////////////////////
// Compressed vector f and beta(k2) // Compressed vector f and beta(k2)
@ -348,7 +454,7 @@ until convergence
f *= Qt(k2-1,Nm-1); f *= Qt(k2-1,Nm-1);
f += lme[k2-1] * evec[k2]; f += lme[k2-1] * evec[k2];
beta_k = norm2(f); beta_k = norm2(f);
beta_k = std::sqrt(beta_k); beta_k = sqrt(beta_k);
std::cout<<GridLogIRL<<" beta(k) = "<<beta_k<<std::endl; std::cout<<GridLogIRL<<" beta(k) = "<<beta_k<<std::endl;
RealD betar = 1.0/beta_k; RealD betar = 1.0/beta_k;
@ -371,7 +477,7 @@ until convergence
std::cout << GridLogIRL << "Test convergence: rotate subset of vectors to test convergence " << std::endl; std::cout << GridLogIRL << "Test convergence: rotate subset of vectors to test convergence " << std::endl;
Field B(grid); B.Checkerboard() = evec[0].Checkerboard(); Field B(grid); B.checkerboard = evec[0].checkerboard;
// power of two search pattern; not every evalue in eval2 is assessed. // power of two search pattern; not every evalue in eval2 is assessed.
int allconv =1; int allconv =1;
@ -409,7 +515,7 @@ until convergence
converged: converged:
{ {
Field B(grid); B.Checkerboard() = evec[0].Checkerboard(); Field B(grid); B.checkerboard = evec[0].checkerboard;
basisRotate(evec,Qt,0,Nk,0,Nk,Nm); basisRotate(evec,Qt,0,Nk,0,Nk,Nm);
std::cout << GridLogIRL << " Rotated basis"<<std::endl; std::cout << GridLogIRL << " Rotated basis"<<std::endl;
Nconv=0; Nconv=0;
@ -423,15 +529,14 @@ until convergence
} }
} }
if ( Nconv < Nstop ) { if ( Nconv < Nstop )
std::cout << GridLogIRL << "Nconv ("<<Nconv<<") < Nstop ("<<Nstop<<")"<<std::endl; std::cout << GridLogIRL << "Nconv ("<<Nconv<<") < Nstop ("<<Nstop<<")"<<std::endl;
std::cout << GridLogIRL << "returning Nstop vectors, the last "<< Nstop-Nconv << "of which might meet convergence criterion only approximately" <<std::endl;
}
eval=eval2; eval=eval2;
//Keep only converged //Keep only converged
eval.resize(Nstop);// was Nconv eval.resize(Nconv);// Nstop?
evec.resize(Nstop,grid);// was Nconv evec.resize(Nconv,grid);// Nstop?
basisSortInPlace(evec,eval,reverse); basisSortInPlace(evec,eval,reverse);
} }
@ -449,11 +554,11 @@ until convergence
/* Saad PP. 195 /* Saad PP. 195
1. Choose an initial vector v1 of 2-norm unity. Set β1 ≡ 0, v0 ≡ 0 1. Choose an initial vector v1 of 2-norm unity. Set β1 ≡ 0, v0 ≡ 0
2. For k = 1,2,...,m Do: 2. For k = 1,2,...,m Do:
3. wk:=Avk - b_k v_{k-1} 3. wk:=Avkβkv_{k1}
4. ak:=(wk,vk) // 4. αk:=(wk,vk) //
5. wk:=wk-akvk // wk orthog vk 5. wk:=wkαkvk // wk orthog vk
6. bk+1 := ||wk||_2. If b_k+1 = 0 then Stop 6. βk+1 := ∥wk∥2. If βk+1 = 0 then Stop
7. vk+1 := wk/b_k+1 7. vk+1 := wk/βk+1
8. EndDo 8. EndDo
*/ */
void step(std::vector<RealD>& lmd, void step(std::vector<RealD>& lmd,
@ -461,7 +566,6 @@ until convergence
std::vector<Field>& evec, std::vector<Field>& evec,
Field& w,int Nm,int k) Field& w,int Nm,int k)
{ {
std::cout<<GridLogDebug << "Lanczos step " <<k<<std::endl;
const RealD tiny = 1.0e-20; const RealD tiny = 1.0e-20;
assert( k< Nm ); assert( k< Nm );
@ -469,33 +573,31 @@ until convergence
Field& evec_k = evec[k]; Field& evec_k = evec[k];
_PolyOp(evec_k,w); std::cout<<GridLogDebug << "PolyOp" <<std::endl; _PolyOp(evec_k,w); std::cout<<GridLogIRL << "PolyOp" <<std::endl;
if(k>0) w -= lme[k-1] * evec[k-1]; if(k>0) w -= lme[k-1] * evec[k-1];
ComplexD zalph = innerProduct(evec_k,w); ComplexD zalph = innerProduct(evec_k,w); // 4. αk:=(wk,vk)
RealD alph = real(zalph); RealD alph = real(zalph);
w = w - alph * evec_k; w = w - alph * evec_k;// 5. wk:=wkαkvk
RealD beta = normalise(w); RealD beta = normalise(w); // 6. βk+1 := ∥wk∥2. If βk+1 = 0 then Stop
// 7. vk+1 := wk/βk+1
lmd[k] = alph; lmd[k] = alph;
lme[k] = beta; lme[k] = beta;
if ( (k>0) && ( (k % orth_period) == 0 )) { if (k>0 && k % orth_period == 0) {
std::cout<<GridLogDebug << "Orthogonalising " <<k<<std::endl;
orthogonalize(w,evec,k); // orthonormalise orthogonalize(w,evec,k); // orthonormalise
std::cout<<GridLogDebug << "Orthogonalised " <<k<<std::endl; std::cout<<GridLogIRL << "Orthogonalised " <<std::endl;
} }
if(k < Nm-1) evec[k+1] = w; if(k < Nm-1) evec[k+1] = w;
std::cout<<GridLogIRL << "Lanczos step alpha[" << k << "] = " << zalph << " beta[" << k << "] = "<<beta<<std::endl; std::cout<<GridLogIRL << "alpha[" << k << "] = " << zalph << " beta[" << k << "] = "<<beta<<std::endl;
if ( beta < tiny ) if ( beta < tiny )
std::cout<<GridLogIRL << " beta is tiny "<<beta<<std::endl; std::cout<<GridLogIRL << " beta is tiny "<<beta<<std::endl;
std::cout<<GridLogDebug << "Lanczos step complete " <<k<<std::endl;
} }
void diagonalize_Eigen(std::vector<RealD>& lmd, std::vector<RealD>& lme, void diagonalize_Eigen(std::vector<RealD>& lmd, std::vector<RealD>& lme,
@ -705,7 +807,7 @@ void diagonalize_QR(std::vector<RealD>& lmd, std::vector<RealD>& lme,
// determination of 2x2 leading submatrix // determination of 2x2 leading submatrix
RealD dsub = lmd[kmax-1]-lmd[kmax-2]; RealD dsub = lmd[kmax-1]-lmd[kmax-2];
RealD dd = std::sqrt(dsub*dsub + 4.0*lme[kmax-2]*lme[kmax-2]); RealD dd = sqrt(dsub*dsub + 4.0*lme[kmax-2]*lme[kmax-2]);
RealD Dsh = 0.5*(lmd[kmax-2]+lmd[kmax-1] +dd*(dsub/fabs(dsub))); RealD Dsh = 0.5*(lmd[kmax-2]+lmd[kmax-1] +dd*(dsub/fabs(dsub)));
// (Dsh: shift) // (Dsh: shift)
@ -736,6 +838,5 @@ void diagonalize_QR(std::vector<RealD>& lmd, std::vector<RealD>& lme,
abort(); abort();
} }
}; };
}
NAMESPACE_END(Grid);
#endif #endif

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -24,15 +24,16 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_LOCAL_COHERENCE_IRL_H #ifndef GRID_LOCAL_COHERENCE_IRL_H
#define GRID_LOCAL_COHERENCE_IRL_H #define GRID_LOCAL_COHERENCE_IRL_H
NAMESPACE_BEGIN(Grid); namespace Grid {
struct LanczosParams : Serializable { struct LanczosParams : Serializable {
public: public:
GRID_SERIALIZABLE_CLASS_MEMBERS(LanczosParams, GRID_SERIALIZABLE_CLASS_MEMBERS(LanczosParams,
ChebyParams, Cheby,/*Chebyshev*/ ChebyParams, Cheby,/*Chebyshev*/
int, Nstop, /*Vecs in Lanczos must converge Nstop < Nk < Nm*/ int, Nstop, /*Vecs in Lanczos must converge Nstop < Nk < Nm*/
@ -44,9 +45,8 @@ public:
int, MinRes); // Must restart int, MinRes); // Must restart
}; };
//This class is the input parameter class for some testing programs
struct LocalCoherenceLanczosParams : Serializable { struct LocalCoherenceLanczosParams : Serializable {
public: public:
GRID_SERIALIZABLE_CLASS_MEMBERS(LocalCoherenceLanczosParams, GRID_SERIALIZABLE_CLASS_MEMBERS(LocalCoherenceLanczosParams,
bool, saveEvecs, bool, saveEvecs,
bool, doFine, bool, doFine,
@ -59,7 +59,7 @@ public:
RealD , coarse_relax_tol, RealD , coarse_relax_tol,
std::vector<int>, blockSize, std::vector<int>, blockSize,
std::string, config, std::string, config,
std::vector < ComplexD >, omega, std::vector < std::complex<double> >, omega,
RealD, mass, RealD, mass,
RealD, M5); RealD, M5);
}; };
@ -68,7 +68,6 @@ public:
template<class Fobj,class CComplex,int nbasis> template<class Fobj,class CComplex,int nbasis>
class ProjectedHermOp : public LinearFunction<Lattice<iVector<CComplex,nbasis > > > { class ProjectedHermOp : public LinearFunction<Lattice<iVector<CComplex,nbasis > > > {
public: public:
using LinearFunction<Lattice<iVector<CComplex,nbasis > > >::operator();
typedef iVector<CComplex,nbasis > CoarseSiteVector; typedef iVector<CComplex,nbasis > CoarseSiteVector;
typedef Lattice<CoarseSiteVector> CoarseField; typedef Lattice<CoarseSiteVector> CoarseField;
typedef Lattice<CComplex> CoarseScalar; // used for inner products on fine field typedef Lattice<CComplex> CoarseScalar; // used for inner products on fine field
@ -84,14 +83,14 @@ public:
}; };
void operator()(const CoarseField& in, CoarseField& out) { void operator()(const CoarseField& in, CoarseField& out) {
GridBase *FineGrid = subspace[0].Grid(); GridBase *FineGrid = subspace[0]._grid;
int checkerboard = subspace[0].Checkerboard(); int checkerboard = subspace[0].checkerboard;
FineField fin (FineGrid); fin.Checkerboard()= checkerboard; FineField fin (FineGrid); fin.checkerboard= checkerboard;
FineField fout(FineGrid); fout.Checkerboard() = checkerboard; FineField fout(FineGrid); fout.checkerboard = checkerboard;
blockPromote(in,fin,subspace); std::cout<<GridLogIRL<<"ProjectedHermop : Promote to fine"<<std::endl; blockPromote(in,fin,subspace); std::cout<<GridLogIRL<<"ProjectedHermop : Promote to fine"<<std::endl;
_Linop.HermOp(fin,fout); std::cout<<GridLogIRL<<"ProjectedHermop : HermOp (fine) "<<std::endl; _Linop.HermOp(fin,fout); std::cout<<GridLogIRL<<"ProjectedHermop : HermOp (fine) "<<std::endl;
blockProject(out,fout,subspace); std::cout<<GridLogIRL<<"ProjectedHermop : Project to coarse "<<std::endl; blockProject(out,fout,subspace); std::cout<<GridLogIRL<<"ProjectedHermop : Project to coarse "<<std::endl;
} }
}; };
@ -99,7 +98,6 @@ public:
template<class Fobj,class CComplex,int nbasis> template<class Fobj,class CComplex,int nbasis>
class ProjectedFunctionHermOp : public LinearFunction<Lattice<iVector<CComplex,nbasis > > > { class ProjectedFunctionHermOp : public LinearFunction<Lattice<iVector<CComplex,nbasis > > > {
public: public:
using LinearFunction<Lattice<iVector<CComplex,nbasis > > >::operator();
typedef iVector<CComplex,nbasis > CoarseSiteVector; typedef iVector<CComplex,nbasis > CoarseSiteVector;
typedef Lattice<CoarseSiteVector> CoarseField; typedef Lattice<CoarseSiteVector> CoarseField;
typedef Lattice<CComplex> CoarseScalar; // used for inner products on fine field typedef Lattice<CComplex> CoarseScalar; // used for inner products on fine field
@ -119,12 +117,12 @@ public:
{ }; { };
void operator()(const CoarseField& in, CoarseField& out) { void operator()(const CoarseField& in, CoarseField& out) {
GridBase *FineGrid = subspace[0]._grid;
int checkerboard = subspace[0].checkerboard;
GridBase *FineGrid = subspace[0].Grid(); FineField fin (FineGrid); fin.checkerboard =checkerboard;
int checkerboard = subspace[0].Checkerboard(); FineField fout(FineGrid);fout.checkerboard =checkerboard;
FineField fin (FineGrid); fin.Checkerboard() =checkerboard;
FineField fout(FineGrid);fout.Checkerboard() =checkerboard;
blockPromote(in,fin,subspace); std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Promote to fine"<<std::endl; blockPromote(in,fin,subspace); std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Promote to fine"<<std::endl;
_poly(_Linop,fin,fout); std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Poly "<<std::endl; _poly(_Linop,fin,fout); std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Poly "<<std::endl;
@ -135,7 +133,7 @@ public:
template<class Fobj,class CComplex,int nbasis> template<class Fobj,class CComplex,int nbasis>
class ImplicitlyRestartedLanczosSmoothedTester : public ImplicitlyRestartedLanczosTester<Lattice<iVector<CComplex,nbasis > > > class ImplicitlyRestartedLanczosSmoothedTester : public ImplicitlyRestartedLanczosTester<Lattice<iVector<CComplex,nbasis > > >
{ {
public: public:
typedef iVector<CComplex,nbasis > CoarseSiteVector; typedef iVector<CComplex,nbasis > CoarseSiteVector;
typedef Lattice<CoarseSiteVector> CoarseField; typedef Lattice<CoarseSiteVector> CoarseField;
typedef Lattice<CComplex> CoarseScalar; // used for inner products on fine field typedef Lattice<CComplex> CoarseScalar; // used for inner products on fine field
@ -144,26 +142,18 @@ public:
LinearFunction<CoarseField> & _Poly; LinearFunction<CoarseField> & _Poly;
OperatorFunction<FineField> & _smoother; OperatorFunction<FineField> & _smoother;
LinearOperatorBase<FineField> &_Linop; LinearOperatorBase<FineField> &_Linop;
RealD _coarse_relax_tol; RealD _coarse_relax_tol;
std::vector<FineField> &_subspace; std::vector<FineField> &_subspace;
int _largestEvalIdxForReport; //The convergence of the LCL is based on the evals of the coarse grid operator, not those of the underlying fine grid operator
//As a result we do not know what the eval range of the fine operator is until the very end, making tuning the Cheby bounds very difficult
//To work around this issue, every restart we separately reconstruct the fine operator eval for the lowest and highest evec and print these
//out alongside the evals of the coarse operator. To do so we need to know the index of the largest eval (i.e. Nstop-1)
//NOTE: If largestEvalIdxForReport=-1 (default) then this is not performed
ImplicitlyRestartedLanczosSmoothedTester(LinearFunction<CoarseField> &Poly, ImplicitlyRestartedLanczosSmoothedTester(LinearFunction<CoarseField> &Poly,
OperatorFunction<FineField> &smoother, OperatorFunction<FineField> &smoother,
LinearOperatorBase<FineField> &Linop, LinearOperatorBase<FineField> &Linop,
std::vector<FineField> &subspace, std::vector<FineField> &subspace,
RealD coarse_relax_tol=5.0e3, RealD coarse_relax_tol=5.0e3)
int largestEvalIdxForReport=-1)
: _smoother(smoother), _Linop(Linop), _Poly(Poly), _subspace(subspace), : _smoother(smoother), _Linop(Linop), _Poly(Poly), _subspace(subspace),
_coarse_relax_tol(coarse_relax_tol), _largestEvalIdxForReport(largestEvalIdxForReport) _coarse_relax_tol(coarse_relax_tol)
{ }; { };
//evalMaxApprox: approximation of largest eval of the fine Chebyshev operator (suitably wrapped by block projection)
int TestConvergence(int j,RealD eresid,CoarseField &B, RealD &eval,RealD evalMaxApprox) int TestConvergence(int j,RealD eresid,CoarseField &B, RealD &eval,RealD evalMaxApprox)
{ {
CoarseField v(B); CoarseField v(B);
@ -186,30 +176,16 @@ public:
<<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
<<std::endl; <<std::endl;
if(_largestEvalIdxForReport != -1 && (j==0 || j==_largestEvalIdxForReport)){
std::cout<<GridLogIRL << "Estimating true eval of fine grid operator for eval idx " << j << std::endl;
RealD tmp_eval;
ReconstructEval(j,eresid,B,tmp_eval,1.0); //don't use evalMaxApprox of coarse operator! (cf below)
}
int conv=0; int conv=0;
if( (vv<eresid*eresid) ) conv = 1; if( (vv<eresid*eresid) ) conv = 1;
return conv; return conv;
} }
int ReconstructEval(int j,RealD eresid,CoarseField &B, RealD &eval,RealD evalMaxApprox)
//This function is called at the end of the coarse grid Lanczos. It promotes the coarse eigenvector 'B' to the fine grid,
//applies a smoother to the result then computes the computes the *fine grid* eigenvalue (output as 'eval').
//evalMaxApprox should be the approximation of the largest eval of the fine Hermop. However when this function is called by IRL it actually passes the largest eval of the *Chebyshev* operator (as this is the max approx used for the TestConvergence above)
//As the largest eval of the Chebyshev is typically several orders of magnitude larger this makes the convergence test pass even when it should not.
//We therefore ignore evalMaxApprox here and use a value of 1.0 (note this value is already used by TestCoarse)
int ReconstructEval(int j,RealD eresid,CoarseField &B, RealD &eval,RealD evalMaxApprox)
{ {
evalMaxApprox = 1.0; //cf above GridBase *FineGrid = _subspace[0]._grid;
GridBase *FineGrid = _subspace[0].Grid(); int checkerboard = _subspace[0].checkerboard;
int checkerboard = _subspace[0].Checkerboard(); FineField fB(FineGrid);fB.checkerboard =checkerboard;
FineField fB(FineGrid);fB.Checkerboard() =checkerboard; FineField fv(FineGrid);fv.checkerboard =checkerboard;
FineField fv(FineGrid);fv.Checkerboard() =checkerboard;
blockPromote(B,fv,_subspace); blockPromote(B,fv,_subspace);
@ -224,13 +200,13 @@ public:
eval = vnum/vden; eval = vnum/vden;
fv -= eval*fB; fv -= eval*fB;
RealD vv = norm2(fv) / ::pow(evalMaxApprox,2.0); RealD vv = norm2(fv) / ::pow(evalMaxApprox,2.0);
if ( j > nbasis ) eresid = eresid*_coarse_relax_tol;
std::cout.precision(13); std::cout.precision(13);
std::cout<<GridLogIRL << "[" << std::setw(3)<<j<<"] " std::cout<<GridLogIRL << "[" << std::setw(3)<<j<<"] "
<<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")" <<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")"
<<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv << " target " << eresid*eresid <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
<<std::endl; <<std::endl;
if ( j > nbasis ) eresid = eresid*_coarse_relax_tol;
if( (vv<eresid*eresid) ) return 1; if( (vv<eresid*eresid) ) return 1;
return 0; return 0;
} }
@ -308,10 +284,6 @@ public:
evals_coarse.resize(0); evals_coarse.resize(0);
}; };
//The block inner product is the inner product on the fine grid locally summed over the blocks
//to give a Lattice<Scalar> on the coarse grid. This function orthnormalizes the fine-grid subspace
//vectors under the block inner product. This step must be performed after computing the fine grid
//eigenvectors and before computing the coarse grid eigenvectors.
void Orthogonalise(void ) { void Orthogonalise(void ) {
CoarseScalar InnerProd(_CoarseGrid); CoarseScalar InnerProd(_CoarseGrid);
std::cout << GridLogMessage <<" Gramm-Schmidt pass 1"<<std::endl; std::cout << GridLogMessage <<" Gramm-Schmidt pass 1"<<std::endl;
@ -333,11 +305,11 @@ public:
int Nk = nbasis; int Nk = nbasis;
subspace.resize(Nk,_FineGrid); subspace.resize(Nk,_FineGrid);
subspace[0]=1.0; subspace[0]=1.0;
subspace[0].Checkerboard()=_checkerboard; subspace[0].checkerboard=_checkerboard;
normalise(subspace[0]); normalise(subspace[0]);
PlainHermOp<FineField> Op(_FineOp); PlainHermOp<FineField> Op(_FineOp);
for(int k=1;k<Nk;k++){ for(int k=1;k<Nk;k++){
subspace[k].Checkerboard()=_checkerboard; subspace[k].checkerboard=_checkerboard;
Op(subspace[k-1],subspace[k]); Op(subspace[k-1],subspace[k]);
normalise(subspace[k]); normalise(subspace[k]);
} }
@ -355,8 +327,6 @@ public:
} }
} }
//While this method serves to check the coarse eigenvectors, it also recomputes the eigenvalues from the smoothed reconstructed eigenvectors
//hence the smoother can be tuned after running the coarse Lanczos by using a different smoother here
void testCoarse(RealD resid,ChebyParams cheby_smooth,RealD relax) void testCoarse(RealD resid,ChebyParams cheby_smooth,RealD relax)
{ {
assert(evals_fine.size() == nbasis); assert(evals_fine.size() == nbasis);
@ -390,11 +360,7 @@ public:
ImplicitlyRestartedLanczos<FineField> IRL(ChebyOp,Op,Nstop,Nk,Nm,resid,MaxIt,betastp,MinRes); ImplicitlyRestartedLanczos<FineField> IRL(ChebyOp,Op,Nstop,Nk,Nm,resid,MaxIt,betastp,MinRes);
FineField src(_FineGrid); FineField src(_FineGrid); src=1.0; src.checkerboard = _checkerboard;
typedef typename FineField::scalar_type Scalar;
// src=1.0;
src=Scalar(1.0);
src.Checkerboard() = _checkerboard;
int Nconv; int Nconv;
IRL.calc(evals_fine,subspace,src,Nconv,false); IRL.calc(evals_fine,subspace,src,Nconv,false);
@ -405,31 +371,25 @@ public:
evals_fine.resize(nbasis); evals_fine.resize(nbasis);
subspace.resize(nbasis,_FineGrid); subspace.resize(nbasis,_FineGrid);
} }
//cheby_op: Parameters of the fine grid Chebyshev polynomial used for the Lanczos acceleration
//cheby_smooth: Parameters of a separate Chebyshev polynomial used after the Lanczos has completed to smooth out high frequency noise in the reconstructed fine grid eigenvectors prior to computing the eigenvalue
//relax: Reconstructed eigenvectors (post smoothing) are naturally not as precise as true eigenvectors. This factor acts as a multiplier on the stopping condition when determining whether the results satisfy the user provided stopping condition
void calcCoarse(ChebyParams cheby_op,ChebyParams cheby_smooth,RealD relax, void calcCoarse(ChebyParams cheby_op,ChebyParams cheby_smooth,RealD relax,
int Nstop, int Nk, int Nm,RealD resid, int Nstop, int Nk, int Nm,RealD resid,
RealD MaxIt, RealD betastp, int MinRes) RealD MaxIt, RealD betastp, int MinRes)
{ {
Chebyshev<FineField> Cheby(cheby_op); //Chebyshev of fine operator on fine grid Chebyshev<FineField> Cheby(cheby_op);
ProjectedHermOp<Fobj,CComplex,nbasis> Op(_FineOp,subspace); //Fine operator on coarse grid with intermediate fine grid conversion ProjectedHermOp<Fobj,CComplex,nbasis> Op(_FineOp,subspace);
ProjectedFunctionHermOp<Fobj,CComplex,nbasis> ChebyOp (Cheby,_FineOp,subspace); //Chebyshev of fine operator on coarse grid with intermediate fine grid conversion ProjectedFunctionHermOp<Fobj,CComplex,nbasis> ChebyOp (Cheby,_FineOp,subspace);
////////////////////////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////////////////////////////
// create a smoother and see if we can get a cheap convergence test and smooth inside the IRL // create a smoother and see if we can get a cheap convergence test and smooth inside the IRL
////////////////////////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////////////////////////////
Chebyshev<FineField> ChebySmooth(cheby_smooth); //lower order Chebyshev of fine operator on fine grid used to smooth regenerated eigenvectors Chebyshev<FineField> ChebySmooth(cheby_smooth);
ImplicitlyRestartedLanczosSmoothedTester<Fobj,CComplex,nbasis> ChebySmoothTester(ChebyOp,ChebySmooth,_FineOp,subspace,relax,Nstop-1); ImplicitlyRestartedLanczosSmoothedTester<Fobj,CComplex,nbasis> ChebySmoothTester(ChebyOp,ChebySmooth,_FineOp,subspace,relax);
evals_coarse.resize(Nm); evals_coarse.resize(Nm);
evec_coarse.resize(Nm,_CoarseGrid); evec_coarse.resize(Nm,_CoarseGrid);
CoarseField src(_CoarseGrid); src=1.0; CoarseField src(_CoarseGrid); src=1.0;
//Note the "tester" here is also responsible for generating the fine grid eigenvalues which are output into the "evals_coarse" array
ImplicitlyRestartedLanczos<CoarseField> IRL(ChebyOp,ChebyOp,ChebySmoothTester,Nstop,Nk,Nm,resid,MaxIt,betastp,MinRes); ImplicitlyRestartedLanczos<CoarseField> IRL(ChebyOp,ChebyOp,ChebySmoothTester,Nstop,Nk,Nm,resid,MaxIt,betastp,MinRes);
int Nconv=0; int Nconv=0;
IRL.calc(evals_coarse,evec_coarse,src,Nconv,false); IRL.calc(evals_coarse,evec_coarse,src,Nconv,false);
@ -440,15 +400,7 @@ public:
std::cout << i << " Coarse eval = " << evals_coarse[i] << std::endl; std::cout << i << " Coarse eval = " << evals_coarse[i] << std::endl;
} }
} }
//Get the fine eigenvector 'i' by reconstruction
void getFineEvecEval(FineField &evec, RealD &eval, const int i) const{
blockPromote(evec_coarse[i],evec,subspace);
eval = evals_coarse[i];
}
}; };
NAMESPACE_END(Grid); }
#endif #endif

View File

@ -1,157 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/MinimalResidual.h
Copyright (C) 2015
Author: Daniel Richtmann <daniel.richtmann@ur.de>
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 */
#ifndef GRID_MINIMAL_RESIDUAL_H
#define GRID_MINIMAL_RESIDUAL_H
namespace Grid {
template<class Field> class MinimalResidual : public OperatorFunction<Field> {
public:
using OperatorFunction<Field>::operator();
bool ErrorOnNoConverge; // throw an assert when the MR fails to converge.
// Defaults true.
RealD Tolerance;
Integer MaxIterations;
RealD overRelaxParam;
Integer IterationsToComplete; // Number of iterations the MR took to finish.
// Filled in upon completion
MinimalResidual(RealD tol, Integer maxit, Real ovrelparam = 1.0, bool err_on_no_conv = true)
: Tolerance(tol), MaxIterations(maxit), overRelaxParam(ovrelparam), ErrorOnNoConverge(err_on_no_conv){};
void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) {
psi.Checkerboard() = src.Checkerboard();
conformable(psi, src);
ComplexD a, c;
RealD d;
Field Mr(src);
Field r(src);
// Initial residual computation & set up
RealD guess = norm2(psi);
assert(std::isnan(guess) == 0);
RealD ssq = norm2(src);
RealD rsq = Tolerance * Tolerance * ssq;
Linop.Op(psi, Mr);
r = src - Mr;
RealD cp = norm2(r);
std::cout << std::setprecision(4) << std::scientific;
std::cout << GridLogIterative << "MinimalResidual: guess " << guess << std::endl;
std::cout << GridLogIterative << "MinimalResidual: src " << ssq << std::endl;
std::cout << GridLogIterative << "MinimalResidual: cp,r " << cp << std::endl;
if (cp <= rsq) {
return;
}
std::cout << GridLogIterative << "MinimalResidual: k=0 residual " << cp << " target " << rsq << std::endl;
GridStopWatch LinalgTimer;
GridStopWatch MatrixTimer;
GridStopWatch SolverTimer;
SolverTimer.Start();
int k;
for (k = 1; k <= MaxIterations; k++) {
MatrixTimer.Start();
Linop.Op(r, Mr);
MatrixTimer.Stop();
LinalgTimer.Start();
c = innerProduct(Mr, r);
d = norm2(Mr);
a = c / d;
a = a * overRelaxParam;
psi = psi + r * a;
r = r - Mr * a;
cp = norm2(r);
LinalgTimer.Stop();
std::cout << GridLogIterative << "MinimalResidual: Iteration " << k
<< " residual " << cp << " target " << rsq << std::endl;
std::cout << GridLogDebug << "a = " << a << " c = " << c << " d = " << d << std::endl;
// Stopping condition
if (cp <= rsq) {
SolverTimer.Stop();
Linop.Op(psi, Mr);
r = src - Mr;
RealD srcnorm = sqrt(ssq);
RealD resnorm = sqrt(norm2(r));
RealD true_residual = resnorm / srcnorm;
std::cout << GridLogMessage << "MinimalResidual Converged on iteration " << k
<< " computed residual " << sqrt(cp / ssq)
<< " true residual " << true_residual
<< " target " << Tolerance << std::endl;
std::cout << GridLogMessage << "MR Time elapsed: Total " << SolverTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "MR Time elapsed: Matrix " << MatrixTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "MR Time elapsed: Linalg " << LinalgTimer.Elapsed() << std::endl;
if (ErrorOnNoConverge)
assert(true_residual / Tolerance < 10000.0);
IterationsToComplete = k;
return;
}
}
std::cout << GridLogMessage << "MinimalResidual did NOT converge"
<< std::endl;
if (ErrorOnNoConverge)
assert(0);
IterationsToComplete = k;
}
};
} // namespace Grid
#endif

View File

@ -1,276 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/MixedPrecisionFlexibleGeneralisedMinimalResidual.h
Copyright (C) 2015
Author: Daniel Richtmann <daniel.richtmann@ur.de>
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 */
#ifndef GRID_MIXED_PRECISION_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
#define GRID_MIXED_PRECISION_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
namespace Grid {
template<class FieldD, class FieldF, typename std::enable_if<getPrecision<FieldD>::value == 2, int>::type = 0, typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0>
class MixedPrecisionFlexibleGeneralisedMinimalResidual : public OperatorFunction<FieldD> {
public:
using OperatorFunction<FieldD>::operator();
bool ErrorOnNoConverge; // Throw an assert when MPFGMRES fails to converge,
// defaults to true
RealD Tolerance;
Integer MaxIterations;
Integer RestartLength;
Integer MaxNumberOfRestarts;
Integer IterationCount; // Number of iterations the MPFGMRES took to finish,
// filled in upon completion
GridStopWatch MatrixTimer;
GridStopWatch PrecTimer;
GridStopWatch LinalgTimer;
GridStopWatch QrTimer;
GridStopWatch CompSolutionTimer;
GridStopWatch ChangePrecTimer;
Eigen::MatrixXcd H;
std::vector<ComplexD> y;
std::vector<ComplexD> gamma;
std::vector<ComplexD> c;
std::vector<ComplexD> s;
GridBase* SinglePrecGrid;
LinearFunction<FieldF> &Preconditioner;
MixedPrecisionFlexibleGeneralisedMinimalResidual(RealD tol,
Integer maxit,
GridBase * sp_grid,
LinearFunction<FieldF> &Prec,
Integer restart_length,
bool err_on_no_conv = true)
: Tolerance(tol)
, MaxIterations(maxit)
, RestartLength(restart_length)
, MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
, ErrorOnNoConverge(err_on_no_conv)
, H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
, y(RestartLength + 1, 0.)
, gamma(RestartLength + 1, 0.)
, c(RestartLength + 1, 0.)
, s(RestartLength + 1, 0.)
, SinglePrecGrid(sp_grid)
, Preconditioner(Prec) {};
void operator()(LinearOperatorBase<FieldD> &LinOp, const FieldD &src, FieldD &psi) {
psi.Checkerboard() = src.Checkerboard();
conformable(psi, src);
RealD guess = norm2(psi);
assert(std::isnan(guess) == 0);
RealD cp;
RealD ssq = norm2(src);
RealD rsq = Tolerance * Tolerance * ssq;
FieldD r(src.Grid());
std::cout << std::setprecision(4) << std::scientific;
std::cout << GridLogIterative << "MPFGMRES: guess " << guess << std::endl;
std::cout << GridLogIterative << "MPFGMRES: src " << ssq << std::endl;
PrecTimer.Reset();
MatrixTimer.Reset();
LinalgTimer.Reset();
QrTimer.Reset();
CompSolutionTimer.Reset();
ChangePrecTimer.Reset();
GridStopWatch SolverTimer;
SolverTimer.Start();
IterationCount = 0;
for (int k=0; k<MaxNumberOfRestarts; k++) {
cp = outerLoopBody(LinOp, src, psi, rsq);
// Stopping condition
if (cp <= rsq) {
SolverTimer.Stop();
LinOp.Op(psi,r);
axpy(r,-1.0,src,r);
RealD srcnorm = sqrt(ssq);
RealD resnorm = sqrt(norm2(r));
RealD true_residual = resnorm / srcnorm;
std::cout << GridLogMessage << "MPFGMRES: Converged on iteration " << IterationCount
<< " computed residual " << sqrt(cp / ssq)
<< " true residual " << true_residual
<< " target " << Tolerance << std::endl;
std::cout << GridLogMessage << "MPFGMRES Time elapsed: Total " << SolverTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "MPFGMRES Time elapsed: Precon " << PrecTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "MPFGMRES Time elapsed: Matrix " << MatrixTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "MPFGMRES Time elapsed: Linalg " << LinalgTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "MPFGMRES Time elapsed: QR " << QrTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "MPFGMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
std::cout << GridLogMessage << "MPFGMRES Time elapsed: PrecChange " << ChangePrecTimer.Elapsed() << std::endl;
return;
}
}
std::cout << GridLogMessage << "MPFGMRES did NOT converge" << std::endl;
if (ErrorOnNoConverge)
assert(0);
}
RealD outerLoopBody(LinearOperatorBase<FieldD> &LinOp, const FieldD &src, FieldD &psi, RealD rsq) {
RealD cp = 0;
FieldD w(src.Grid());
FieldD r(src.Grid());
// these should probably be made class members so that they are only allocated once, not in every restart
std::vector<FieldD> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
std::vector<FieldD> z(RestartLength + 1, src.Grid()); for (auto &elem : z) elem = Zero();
MatrixTimer.Start();
LinOp.Op(psi, w);
MatrixTimer.Stop();
LinalgTimer.Start();
r = src - w;
gamma[0] = sqrt(norm2(r));
v[0] = (1. / gamma[0]) * r;
LinalgTimer.Stop();
for (int i=0; i<RestartLength; i++) {
IterationCount++;
arnoldiStep(LinOp, v, z, w, i);
qrUpdate(i);
cp = norm(gamma[i+1]);
std::cout << GridLogIterative << "MPFGMRES: Iteration " << IterationCount
<< " residual " << cp << " target " << rsq << std::endl;
if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
computeSolution(z, psi, i);
return cp;
}
}
assert(0); // Never reached
return cp;
}
void arnoldiStep(LinearOperatorBase<FieldD> &LinOp, std::vector<FieldD> &v, std::vector<FieldD> &z, FieldD &w, int iter) {
FieldF v_f(SinglePrecGrid);
FieldF z_f(SinglePrecGrid);
ChangePrecTimer.Start();
precisionChange(v_f, v[iter]);
precisionChange(z_f, z[iter]);
ChangePrecTimer.Stop();
PrecTimer.Start();
Preconditioner(v_f, z_f);
PrecTimer.Stop();
ChangePrecTimer.Start();
precisionChange(z[iter], z_f);
ChangePrecTimer.Stop();
MatrixTimer.Start();
LinOp.Op(z[iter], w);
MatrixTimer.Stop();
LinalgTimer.Start();
for (int i = 0; i <= iter; ++i) {
H(iter, i) = innerProduct(v[i], w);
w = w - ComplexD(H(iter, i)) * v[i];
}
H(iter, iter + 1) = sqrt(norm2(w));
v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
LinalgTimer.Stop();
}
void qrUpdate(int iter) {
QrTimer.Start();
for (int i = 0; i < iter ; ++i) {
auto tmp = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
H(iter, i) = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
H(iter, i + 1) = tmp;
}
// Compute new Givens Rotation
auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
c[iter] = H(iter, iter) / nu;
s[iter] = H(iter, iter + 1) / nu;
// Apply new Givens rotation
H(iter, iter) = nu;
H(iter, iter + 1) = 0.;
gamma[iter + 1] = -s[iter] * gamma[iter];
gamma[iter] = conjugate(c[iter]) * gamma[iter];
QrTimer.Stop();
}
void computeSolution(std::vector<FieldD> const &z, FieldD &psi, int iter) {
CompSolutionTimer.Start();
for (int i = iter; i >= 0; i--) {
y[i] = gamma[i];
for (int k = i + 1; k <= iter; k++)
y[i] = y[i] - ComplexD(H(k, i)) * y[k];
y[i] = y[i] / ComplexD(H(i, i));
}
for (int i = 0; i <= iter; i++)
psi = psi + z[i] * y[i];
CompSolutionTimer.Stop();
}
};
}
#endif

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@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,116 +23,38 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_NORMAL_EQUATIONS_H #ifndef GRID_NORMAL_EQUATIONS_H
#define GRID_NORMAL_EQUATIONS_H #define GRID_NORMAL_EQUATIONS_H
NAMESPACE_BEGIN(Grid); namespace Grid {
/////////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////////
// Take a matrix and form an NE solver calling a Herm solver // Take a matrix and form an NE solver calling a Herm solver
/////////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class NormalEquations : public LinearFunction<Field>{ template<class Field> class NormalEquations : public OperatorFunction<Field>{
private: private:
SparseMatrixBase<Field> & _Matrix; SparseMatrixBase<Field> & _Matrix;
OperatorFunction<Field> & _HermitianSolver; OperatorFunction<Field> & _HermitianSolver;
LinearFunction<Field> & _Guess;
public:
///////////////////////////////////////////////////// public:
// Wrap the usual normal equations trick
/////////////////////////////////////////////////////
NormalEquations(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver,
LinearFunction<Field> &Guess)
: _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {};
void operator() (const Field &in, Field &out){ /////////////////////////////////////////////////////
// Wrap the usual normal equations trick
/////////////////////////////////////////////////////
NormalEquations(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver)
: _Matrix(Matrix), _HermitianSolver(HermitianSolver) {};
void operator() (const Field &in, Field &out){
Field src(in.Grid()); Field src(in._grid);
Field tmp(in.Grid());
MdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(_Matrix); _Matrix.Mdag(in,src);
_Matrix.Mdag(in,src); _HermitianSolver(src,out); // Mdag M out = Mdag in
_Guess(src,out);
_HermitianSolver(MdagMOp,src,out); // Mdag M out = Mdag in
}
};
template<class Field> class NormalResidual : public LinearFunction<Field>{
private:
SparseMatrixBase<Field> & _Matrix;
OperatorFunction<Field> & _HermitianSolver;
LinearFunction<Field> & _Guess;
public:
/////////////////////////////////////////////////////
// Wrap the usual normal equations trick
/////////////////////////////////////////////////////
NormalResidual(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver,
LinearFunction<Field> &Guess)
: _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {};
void operator() (const Field &in, Field &out){
Field res(in.Grid()); }
Field tmp(in.Grid()); };
MMdagLinearOperator<SparseMatrixBase<Field>,Field> MMdagOp(_Matrix); }
_Guess(in,res);
_HermitianSolver(MMdagOp,in,res); // M Mdag res = in ;
_Matrix.Mdag(res,out); // out = Mdag res
}
};
template<class Field> class HPDSolver : public LinearFunction<Field> {
private:
LinearOperatorBase<Field> & _Matrix;
OperatorFunction<Field> & _HermitianSolver;
LinearFunction<Field> & _Guess;
public:
/////////////////////////////////////////////////////
// Wrap the usual normal equations trick
/////////////////////////////////////////////////////
HPDSolver(LinearOperatorBase<Field> &Matrix,
OperatorFunction<Field> &HermitianSolver,
LinearFunction<Field> &Guess)
: _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {};
void operator() (const Field &in, Field &out){
_Guess(in,out);
_HermitianSolver(_Matrix,in,out); //M out = in
}
};
template<class Field> class MdagMSolver : public LinearFunction<Field> {
private:
SparseMatrixBase<Field> & _Matrix;
OperatorFunction<Field> & _HermitianSolver;
LinearFunction<Field> & _Guess;
public:
/////////////////////////////////////////////////////
// Wrap the usual normal equations trick
/////////////////////////////////////////////////////
MdagMSolver(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver,
LinearFunction<Field> &Guess)
: _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {};
void operator() (const Field &in, Field &out){
MdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(_Matrix);
_Guess(in,out);
_HermitianSolver(MdagMOp,in,out); // Mdag M out = Mdag in
}
};
NAMESPACE_END(Grid);
#endif #endif

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@ -1,46 +0,0 @@
#pragma once
namespace Grid {
template<class Field> class PowerMethod
{
public:
template<typename T> static RealD normalise(T& v)
{
RealD nn = norm2(v);
nn = sqrt(nn);
v = v * (1.0/nn);
return nn;
}
RealD operator()(LinearOperatorBase<Field> &HermOp, const Field &src)
{
GridBase *grid = src.Grid();
// quickly get an idea of the largest eigenvalue to more properly normalize the residuum
RealD evalMaxApprox = 0.0;
auto src_n = src;
auto tmp = src;
const int _MAX_ITER_EST_ = 200;
for (int i=0;i<_MAX_ITER_EST_;i++) {
normalise(src_n);
HermOp.HermOp(src_n,tmp);
RealD vnum = real(innerProduct(src_n,tmp)); // HermOp.
RealD vden = norm2(src_n);
RealD na = vnum/vden;
std::cout << GridLogMessage << "PowerMethod: Current approximation of largest eigenvalue " << na << std::endl;
// if ( (fabs(evalMaxApprox/na - 1.0) < 0.0001) || (i==_MAX_ITER_EST_-1) ) {
// evalMaxApprox = na;
// return evalMaxApprox;
// }
evalMaxApprox = na;
src_n = tmp;
}
std::cout << GridLogMessage << " Approximation of largest eigenvalue: " << evalMaxApprox << std::endl;
return evalMaxApprox;
}
};
}

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@ -1,76 +0,0 @@
#pragma once
namespace Grid {
class Band
{
RealD lo, hi;
public:
Band(RealD _lo,RealD _hi)
{
lo=_lo;
hi=_hi;
}
RealD operator() (RealD x){
if ( x>lo && x<hi ){
return 1.0;
} else {
return 0.0;
}
}
};
class PowerSpectrum
{
public:
template<typename T> static RealD normalise(T& v)
{
RealD nn = norm2(v);
nn = sqrt(nn);
v = v * (1.0/nn);
return nn;
}
std::vector<RealD> ranges;
std::vector<int> order;
PowerSpectrum( std::vector<RealD> &bins, std::vector<int> &_order ) : ranges(bins), order(_order) { };
template<class Field>
RealD operator()(LinearOperatorBase<Field> &HermOp, const Field &src)
{
GridBase *grid = src.Grid();
int N=ranges.size();
RealD hi = ranges[N-1];
RealD lo_band = 0.0;
RealD hi_band;
RealD nn=norm2(src);
RealD ss=0.0;
Field tmp = src;
for(int b=0;b<N;b++){
hi_band = ranges[b];
Band Notch(lo_band,hi_band);
Chebyshev<Field> polynomial;
polynomial.Init(0.0,hi,order[b],Notch);
polynomial.JacksonSmooth();
polynomial(HermOp,src,tmp) ;
RealD p=norm2(tmp);
ss=ss+p;
std::cout << GridLogMessage << " PowerSpectrum Band["<<lo_band<<","<<hi_band<<"] power "<<norm2(tmp)/nn<<std::endl;
lo_band=hi_band;
}
std::cout << GridLogMessage << " PowerSpectrum total power "<<ss/nn<<std::endl;
std::cout << GridLogMessage << " PowerSpectrum total power (unnormalised) "<<nn<<std::endl;
return 0;
};
};
}

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@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,97 +23,97 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_PREC_CONJUGATE_RESIDUAL_H #ifndef GRID_PREC_CONJUGATE_RESIDUAL_H
#define GRID_PREC_CONJUGATE_RESIDUAL_H #define GRID_PREC_CONJUGATE_RESIDUAL_H
NAMESPACE_BEGIN(Grid); namespace Grid {
///////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////
// Base classes for iterative processes based on operators // Base classes for iterative processes based on operators
// single input vec, single output vec. // single input vec, single output vec.
///////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////
template<class Field> template<class Field>
class PrecConjugateResidual : public OperatorFunction<Field> { class PrecConjugateResidual : public OperatorFunction<Field> {
public: public:
RealD Tolerance; RealD Tolerance;
Integer MaxIterations; Integer MaxIterations;
int verbose; int verbose;
LinearFunction<Field> &Preconditioner; LinearFunction<Field> &Preconditioner;
PrecConjugateResidual(RealD tol,Integer maxit,LinearFunction<Field> &Prec) : Tolerance(tol), MaxIterations(maxit), Preconditioner(Prec) PrecConjugateResidual(RealD tol,Integer maxit,LinearFunction<Field> &Prec) : Tolerance(tol), MaxIterations(maxit), Preconditioner(Prec)
{ {
verbose=1; verbose=1;
}; };
void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){ void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
RealD a, b, c, d; RealD a, b, c, d;
RealD cp, ssq,rsq; RealD cp, ssq,rsq;
RealD rAr, rAAr, rArp; RealD rAr, rAAr, rArp;
RealD pAp, pAAp; RealD pAp, pAAp;
GridBase *grid = src.Grid(); GridBase *grid = src._grid;
Field r(grid), p(grid), Ap(grid), Ar(grid), z(grid); Field r(grid), p(grid), Ap(grid), Ar(grid), z(grid);
psi=zero; psi=zero;
r = src; r = src;
Preconditioner(r,p); Preconditioner(r,p);
Linop.HermOpAndNorm(p,Ap,pAp,pAAp); Linop.HermOpAndNorm(p,Ap,pAp,pAAp);
Ar=Ap; Ar=Ap;
rAr=pAp; rAr=pAp;
rAAr=pAAp; rAAr=pAAp;
cp =norm2(r); cp =norm2(r);
ssq=norm2(src); ssq=norm2(src);
rsq=Tolerance*Tolerance*ssq; rsq=Tolerance*Tolerance*ssq;
if (verbose) std::cout<<GridLogMessage<<"PrecConjugateResidual: iteration " <<0<<" residual "<<cp<< " target"<< rsq<<std::endl; if (verbose) std::cout<<GridLogMessage<<"PrecConjugateResidual: iteration " <<0<<" residual "<<cp<< " target"<< rsq<<std::endl;
for(int k=0;k<MaxIterations;k++){ for(int k=0;k<MaxIterations;k++){
Preconditioner(Ap,z); Preconditioner(Ap,z);
RealD rq= real(innerProduct(Ap,z)); RealD rq= real(innerProduct(Ap,z));
a = rAr/rq; a = rAr/rq;
axpy(psi,a,p,psi); axpy(psi,a,p,psi);
cp = axpy_norm(r,-a,z,r); cp = axpy_norm(r,-a,z,r);
rArp=rAr; rArp=rAr;
Linop.HermOpAndNorm(r,Ar,rAr,rAAr); Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
b =rAr/rArp; b =rAr/rArp;
axpy(p,b,p,r); axpy(p,b,p,r);
pAAp=axpy_norm(Ap,b,Ap,Ar); pAAp=axpy_norm(Ap,b,Ap,Ar);
if(verbose) std::cout<<GridLogMessage<<"PrecConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl; if(verbose) std::cout<<GridLogMessage<<"PrecConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
if(cp<rsq) {
Linop.HermOp(psi,Ap);
axpy(r,-1.0,src,Ap);
RealD true_resid = norm2(r)/ssq;
std::cout<<GridLogMessage<<"PrecConjugateResidual: Converged on iteration " <<k
<< " computed residual "<<sqrt(cp/ssq)
<< " true residual "<<sqrt(true_resid)
<< " target " <<Tolerance <<std::endl;
return;
}
if(cp<rsq) {
Linop.HermOp(psi,Ap);
axpy(r,-1.0,src,Ap);
RealD true_resid = norm2(r)/ssq;
std::cout<<GridLogMessage<<"PrecConjugateResidual: Converged on iteration " <<k
<< " computed residual "<<sqrt(cp/ssq)
<< " true residual "<<sqrt(true_resid)
<< " target " <<Tolerance <<std::endl;
return;
} }
std::cout<<GridLogMessage<<"PrecConjugateResidual did NOT converge"<<std::endl;
assert(0);
} }
};
std::cout<<GridLogMessage<<"PrecConjugateResidual did NOT converge"<<std::endl; }
assert(0);
}
};
NAMESPACE_END(Grid);
#endif #endif

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@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -24,8 +24,8 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_PREC_GCR_H #ifndef GRID_PREC_GCR_H
#define GRID_PREC_GCR_H #define GRID_PREC_GCR_H
@ -36,204 +36,195 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
//NB. Likely not original reference since they are focussing on a preconditioner variant. //NB. Likely not original reference since they are focussing on a preconditioner variant.
// but VPGCR was nicely written up in their paper // but VPGCR was nicely written up in their paper
/////////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////////
NAMESPACE_BEGIN(Grid); namespace Grid {
#define GCRLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level<<" " template<class Field>
class PrecGeneralisedConjugateResidual : public OperatorFunction<Field> {
public:
RealD Tolerance;
Integer MaxIterations;
int verbose;
int mmax;
int nstep;
int steps;
GridStopWatch PrecTimer;
GridStopWatch MatTimer;
GridStopWatch LinalgTimer;
template<class Field> LinearFunction<Field> &Preconditioner;
class PrecGeneralisedConjugateResidual : public LinearFunction<Field> {
public:
using LinearFunction<Field>::operator();
RealD Tolerance;
Integer MaxIterations;
int verbose;
int mmax;
int nstep;
int steps;
int level;
GridStopWatch PrecTimer;
GridStopWatch MatTimer;
GridStopWatch LinalgTimer;
LinearFunction<Field> &Preconditioner; PrecGeneralisedConjugateResidual(RealD tol,Integer maxit,LinearFunction<Field> &Prec,int _mmax,int _nstep) :
LinearOperatorBase<Field> &Linop; Tolerance(tol),
MaxIterations(maxit),
Preconditioner(Prec),
mmax(_mmax),
nstep(_nstep)
{
verbose=1;
};
void Level(int lv) { level=lv; }; void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
PrecGeneralisedConjugateResidual(RealD tol,Integer maxit,LinearOperatorBase<Field> &_Linop,LinearFunction<Field> &Prec,int _mmax,int _nstep) : psi=zero;
Tolerance(tol), RealD cp, ssq,rsq;
MaxIterations(maxit), ssq=norm2(src);
Linop(_Linop), rsq=Tolerance*Tolerance*ssq;
Preconditioner(Prec),
mmax(_mmax),
nstep(_nstep)
{
level=1;
verbose=1;
};
void operator() (const Field &src, Field &psi){
psi=Zero();
RealD cp, ssq,rsq;
ssq=norm2(src);
rsq=Tolerance*Tolerance*ssq;
Field r(src.Grid()); Field r(src._grid);
PrecTimer.Reset(); PrecTimer.Reset();
MatTimer.Reset(); MatTimer.Reset();
LinalgTimer.Reset(); LinalgTimer.Reset();
GridStopWatch SolverTimer; GridStopWatch SolverTimer;
SolverTimer.Start(); SolverTimer.Start();
steps=0; steps=0;
for(int k=0;k<MaxIterations;k++){ for(int k=0;k<MaxIterations;k++){
cp=GCRnStep(src,psi,rsq); cp=GCRnStep(Linop,src,psi,rsq);
GCRLogLevel <<"PGCR("<<mmax<<","<<nstep<<") "<< steps <<" steps cp = "<<cp<<" target "<<rsq <<std::endl; std::cout<<GridLogMessage<<"VPGCR("<<mmax<<","<<nstep<<") "<< steps <<" steps cp = "<<cp<<std::endl;
if(cp<rsq) { if(cp<rsq) {
SolverTimer.Stop(); SolverTimer.Stop();
Linop.HermOp(psi,r); Linop.HermOp(psi,r);
axpy(r,-1.0,src,r); axpy(r,-1.0,src,r);
RealD tr = norm2(r); RealD tr = norm2(r);
GCRLogLevel<<"PGCR: Converged on iteration " <<steps std::cout<<GridLogMessage<<"PrecGeneralisedConjugateResidual: Converged on iteration " <<steps
<< " computed residual "<<sqrt(cp/ssq) << " computed residual "<<sqrt(cp/ssq)
<< " true residual " <<sqrt(tr/ssq) << " true residual " <<sqrt(tr/ssq)
<< " target " <<Tolerance <<std::endl; << " target " <<Tolerance <<std::endl;
std::cout<<GridLogMessage<<"VPGCR Time elapsed: Total "<< SolverTimer.Elapsed() <<std::endl;
std::cout<<GridLogMessage<<"VPGCR Time elapsed: Precon "<< PrecTimer.Elapsed() <<std::endl;
std::cout<<GridLogMessage<<"VPGCR Time elapsed: Matrix "<< MatTimer.Elapsed() <<std::endl;
std::cout<<GridLogMessage<<"VPGCR Time elapsed: Linalg "<< LinalgTimer.Elapsed() <<std::endl;
return;
}
GCRLogLevel<<"PGCR Time elapsed: Total "<< SolverTimer.Elapsed() <<std::endl;
/*
GCRLogLevel<<"PGCR Time elapsed: Precon "<< PrecTimer.Elapsed() <<std::endl;
GCRLogLevel<<"PGCR Time elapsed: Matrix "<< MatTimer.Elapsed() <<std::endl;
GCRLogLevel<<"PGCR Time elapsed: Linalg "<< LinalgTimer.Elapsed() <<std::endl;
*/
return;
} }
std::cout<<GridLogMessage<<"Variable Preconditioned GCR did not converge"<<std::endl;
assert(0);
} }
GCRLogLevel<<"Variable Preconditioned GCR did not converge"<<std::endl;
// assert(0);
}
RealD GCRnStep(const Field &src, Field &psi,RealD rsq){ RealD GCRnStep(LinearOperatorBase<Field> &Linop,const Field &src, Field &psi,RealD rsq){
RealD cp; RealD cp;
RealD a, b; RealD a, b, c, d;
RealD zAz, zAAz; RealD zAz, zAAz;
RealD rq; RealD rAq, rq;
GridBase *grid = src.Grid(); GridBase *grid = src._grid;
Field r(grid); Field r(grid);
Field z(grid); Field z(grid);
Field tmp(grid); Field tmp(grid);
Field ttmp(grid); Field ttmp(grid);
Field Az(grid); Field Az(grid);
//////////////////////////////// ////////////////////////////////
// history for flexible orthog // history for flexible orthog
//////////////////////////////// ////////////////////////////////
std::vector<Field> q(mmax,grid); std::vector<Field> q(mmax,grid);
std::vector<Field> p(mmax,grid); std::vector<Field> p(mmax,grid);
std::vector<RealD> qq(mmax); std::vector<RealD> qq(mmax);
GCRLogLevel<< "PGCR nStep("<<nstep<<")"<<std::endl; //////////////////////////////////
// initial guess x0 is taken as nonzero.
////////////////////////////////// // r0=src-A x0 = src
// initial guess x0 is taken as nonzero. //////////////////////////////////
// r0=src-A x0 = src MatTimer.Start();
////////////////////////////////// Linop.HermOpAndNorm(psi,Az,zAz,zAAz);
MatTimer.Start(); MatTimer.Stop();
Linop.HermOpAndNorm(psi,Az,zAz,zAAz); r=src-Az;
MatTimer.Stop();
/////////////////////
// p = Prec(r)
LinalgTimer.Start(); /////////////////////
r=src-Az;
LinalgTimer.Stop();
GCRLogLevel<< "PGCR true residual r = src - A psi "<<norm2(r) <<std::endl;
/////////////////////
// p = Prec(r)
/////////////////////
PrecTimer.Start();
Preconditioner(r,z);
PrecTimer.Stop();
MatTimer.Start();
Linop.HermOpAndNorm(z,Az,zAz,zAAz);
MatTimer.Stop();
LinalgTimer.Start();
//p[0],q[0],qq[0]
p[0]= z;
q[0]= Az;
qq[0]= zAAz;
cp =norm2(r);
LinalgTimer.Stop();
for(int k=0;k<nstep;k++){
steps++;
int kp = k+1;
int peri_k = k %mmax;
int peri_kp= kp%mmax;
LinalgTimer.Start();
rq= real(innerProduct(r,q[peri_k])); // what if rAr not real?
a = rq/qq[peri_k];
axpy(psi,a,p[peri_k],psi);
cp = axpy_norm(r,-a,q[peri_k],r);
LinalgTimer.Stop();
GCRLogLevel<< "PGCR step["<<steps<<"] resid " << cp << " target " <<rsq<<std::endl;
if((k==nstep-1)||(cp<rsq)){
return cp;
}
PrecTimer.Start(); PrecTimer.Start();
Preconditioner(r,z);// solve Az = r Preconditioner(r,z);
PrecTimer.Stop(); PrecTimer.Stop();
MatTimer.Start(); MatTimer.Start();
Linop.HermOpAndNorm(z,Az,zAz,zAAz); Linop.HermOp(z,tmp);
MatTimer.Stop(); MatTimer.Stop();
LinalgTimer.Start(); ttmp=tmp;
tmp=tmp-r;
q[peri_kp]=Az; /*
p[peri_kp]=z; std::cout<<GridLogMessage<<r<<std::endl;
std::cout<<GridLogMessage<<z<<std::endl;
std::cout<<GridLogMessage<<ttmp<<std::endl;
std::cout<<GridLogMessage<<tmp<<std::endl;
*/
int northog = ((kp)>(mmax-1))?(mmax-1):(kp); // if more than mmax done, we orthog all mmax history. MatTimer.Start();
for(int back=0;back<northog;back++){ Linop.HermOpAndNorm(z,Az,zAz,zAAz);
MatTimer.Stop();
int peri_back=(k-back)%mmax; assert((k-back)>=0); //p[0],q[0],qq[0]
p[0]= z;
q[0]= Az;
qq[0]= zAAz;
cp =norm2(r);
for(int k=0;k<nstep;k++){
steps++;
int kp = k+1;
int peri_k = k %mmax;
int peri_kp= kp%mmax;
rq= real(innerProduct(r,q[peri_k])); // what if rAr not real?
a = rq/qq[peri_k];
axpy(psi,a,p[peri_k],psi);
cp = axpy_norm(r,-a,q[peri_k],r);
if((k==nstep-1)||(cp<rsq)){
return cp;
}
std::cout<<GridLogMessage<< " VPGCR_step["<<steps<<"] resid " <<sqrt(cp/rsq)<<std::endl;
PrecTimer.Start();
Preconditioner(r,z);// solve Az = r
PrecTimer.Stop();
MatTimer.Start();
Linop.HermOpAndNorm(z,Az,zAz,zAAz);
Linop.HermOp(z,tmp);
MatTimer.Stop();
tmp=tmp-r;
std::cout<<GridLogMessage<< " Preconditioner resid " <<sqrt(norm2(tmp)/norm2(r))<<std::endl;
q[peri_kp]=Az;
p[peri_kp]=z;
int northog = ((kp)>(mmax-1))?(mmax-1):(kp); // if more than mmax done, we orthog all mmax history.
for(int back=0;back<northog;back++){
int peri_back=(k-back)%mmax; assert((k-back)>=0);
b=-real(innerProduct(q[peri_back],Az))/qq[peri_back];
p[peri_kp]=p[peri_kp]+b*p[peri_back];
q[peri_kp]=q[peri_kp]+b*q[peri_back];
}
qq[peri_kp]=norm2(q[peri_kp]); // could use axpy_norm
b=-real(innerProduct(q[peri_back],Az))/qq[peri_back];
p[peri_kp]=p[peri_kp]+b*p[peri_back];
q[peri_kp]=q[peri_kp]+b*q[peri_back];
} }
qq[peri_kp]=norm2(q[peri_kp]); // could use axpy_norm assert(0); // never reached
LinalgTimer.Stop(); return cp;
} }
assert(0); // never reached };
return cp; }
}
};
NAMESPACE_END(Grid);
#endif #endif

View File

@ -1,242 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/iterative/PrecGeneralisedConjugateResidual.h
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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 */
#ifndef GRID_PREC_GCR_NON_HERM_H
#define GRID_PREC_GCR_NON_HERM_H
///////////////////////////////////////////////////////////////////////////////////////////////////////
//VPGCR Abe and Zhang, 2005.
//INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
//Computing and Information Volume 2, Number 2, Pages 147-161
//NB. Likely not original reference since they are focussing on a preconditioner variant.
// but VPGCR was nicely written up in their paper
///////////////////////////////////////////////////////////////////////////////////////////////////////
NAMESPACE_BEGIN(Grid);
#define GCRLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level<<" "
template<class Field>
class PrecGeneralisedConjugateResidualNonHermitian : public LinearFunction<Field> {
public:
using LinearFunction<Field>::operator();
RealD Tolerance;
Integer MaxIterations;
int verbose;
int mmax;
int nstep;
int steps;
int level;
GridStopWatch PrecTimer;
GridStopWatch MatTimer;
GridStopWatch LinalgTimer;
LinearFunction<Field> &Preconditioner;
LinearOperatorBase<Field> &Linop;
void Level(int lv) { level=lv; };
PrecGeneralisedConjugateResidualNonHermitian(RealD tol,Integer maxit,LinearOperatorBase<Field> &_Linop,LinearFunction<Field> &Prec,int _mmax,int _nstep) :
Tolerance(tol),
MaxIterations(maxit),
Linop(_Linop),
Preconditioner(Prec),
mmax(_mmax),
nstep(_nstep)
{
level=1;
verbose=1;
};
void operator() (const Field &src, Field &psi){
// psi=Zero();
RealD cp, ssq,rsq;
ssq=norm2(src);
rsq=Tolerance*Tolerance*ssq;
Field r(src.Grid());
PrecTimer.Reset();
MatTimer.Reset();
LinalgTimer.Reset();
GridStopWatch SolverTimer;
SolverTimer.Start();
steps=0;
for(int k=0;k<MaxIterations;k++){
cp=GCRnStep(src,psi,rsq);
GCRLogLevel <<"PGCR("<<mmax<<","<<nstep<<") "<< steps <<" steps cp = "<<cp<<" target "<<rsq <<std::endl;
if(cp<rsq) {
SolverTimer.Stop();
Linop.Op(psi,r);
axpy(r,-1.0,src,r);
RealD tr = norm2(r);
GCRLogLevel<<"PGCR: Converged on iteration " <<steps
<< " computed residual "<<sqrt(cp/ssq)
<< " true residual " <<sqrt(tr/ssq)
<< " target " <<Tolerance <<std::endl;
GCRLogLevel<<"PGCR Time elapsed: Total "<< SolverTimer.Elapsed() <<std::endl;
return;
}
}
GCRLogLevel<<"Variable Preconditioned GCR did not converge"<<std::endl;
// assert(0);
}
RealD GCRnStep(const Field &src, Field &psi,RealD rsq){
RealD cp;
ComplexD a, b;
// ComplexD zAz;
RealD zAAz;
ComplexD rq;
GridBase *grid = src.Grid();
Field r(grid);
Field z(grid);
Field tmp(grid);
Field ttmp(grid);
Field Az(grid);
////////////////////////////////
// history for flexible orthog
////////////////////////////////
std::vector<Field> q(mmax,grid);
std::vector<Field> p(mmax,grid);
std::vector<RealD> qq(mmax);
GCRLogLevel<< "PGCR nStep("<<nstep<<")"<<std::endl;
//////////////////////////////////
// initial guess x0 is taken as nonzero.
// r0=src-A x0 = src
//////////////////////////////////
MatTimer.Start();
Linop.Op(psi,Az);
// zAz = innerProduct(Az,psi);
zAAz= norm2(Az);
MatTimer.Stop();
LinalgTimer.Start();
r=src-Az;
LinalgTimer.Stop();
GCRLogLevel<< "PGCR true residual r = src - A psi "<<norm2(r) <<std::endl;
/////////////////////
// p = Prec(r)
/////////////////////
PrecTimer.Start();
Preconditioner(r,z);
PrecTimer.Stop();
MatTimer.Start();
Linop.Op(z,Az);
MatTimer.Stop();
LinalgTimer.Start();
// zAz = innerProduct(Az,psi);
zAAz= norm2(Az);
//p[0],q[0],qq[0]
p[0]= z;
q[0]= Az;
qq[0]= zAAz;
cp =norm2(r);
LinalgTimer.Stop();
for(int k=0;k<nstep;k++){
steps++;
int kp = k+1;
int peri_k = k %mmax;
int peri_kp= kp%mmax;
LinalgTimer.Start();
rq= innerProduct(q[peri_k],r); // what if rAr not real?
a = rq/qq[peri_k];
axpy(psi,a,p[peri_k],psi);
cp = axpy_norm(r,-a,q[peri_k],r);
LinalgTimer.Stop();
GCRLogLevel<< "PGCR step["<<steps<<"] resid " << cp << " target " <<rsq<<std::endl;
if((k==nstep-1)||(cp<rsq)){
return cp;
}
PrecTimer.Start();
Preconditioner(r,z);// solve Az = r
PrecTimer.Stop();
MatTimer.Start();
Linop.Op(z,Az);
MatTimer.Stop();
// zAz = innerProduct(Az,psi);
zAAz= norm2(Az);
LinalgTimer.Start();
q[peri_kp]=Az;
p[peri_kp]=z;
int northog = ((kp)>(mmax-1))?(mmax-1):(kp); // if more than mmax done, we orthog all mmax history.
for(int back=0;back<northog;back++){
int peri_back=(k-back)%mmax; assert((k-back)>=0);
b=-real(innerProduct(q[peri_back],Az))/qq[peri_back];
p[peri_kp]=p[peri_kp]+b*p[peri_back];
q[peri_kp]=q[peri_kp]+b*q[peri_back];
}
qq[peri_kp]=norm2(q[peri_kp]); // could use axpy_norm
LinalgTimer.Stop();
}
assert(0); // never reached
return cp;
}
};
NAMESPACE_END(Grid);
#endif

View File

@ -1,371 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithmsf/iterative/QuasiMinimalResidual.h
Copyright (C) 2019
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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
NAMESPACE_BEGIN(Grid);
template<class Field>
RealD innerG5ProductReal(Field &l, Field &r)
{
Gamma G5(Gamma::Algebra::Gamma5);
Field tmp(l.Grid());
// tmp = G5*r;
G5R5(tmp,r);
ComplexD ip =innerProduct(l,tmp);
std::cout << "innerProductRealG5R5 "<<ip<<std::endl;
return ip.real();
}
template<class Field>
class QuasiMinimalResidual : public OperatorFunction<Field> {
public:
using OperatorFunction<Field>::operator();
bool ErrorOnNoConverge;
RealD Tolerance;
Integer MaxIterations;
Integer IterationCount;
QuasiMinimalResidual(RealD tol,
Integer maxit,
bool err_on_no_conv = true)
: Tolerance(tol)
, MaxIterations(maxit)
, ErrorOnNoConverge(err_on_no_conv)
{};
#if 1
void operator()(LinearOperatorBase<Field> &LinOp, const Field &b, Field &x)
{
RealD resid;
IterationCount=0;
RealD rho, rho_1, xi, gamma, gamma_1, theta, theta_1;
RealD eta, delta, ep, beta;
GridBase *Grid = b.Grid();
Field r(Grid), d(Grid), s(Grid);
Field v(Grid), w(Grid), y(Grid), z(Grid);
Field v_tld(Grid), w_tld(Grid), y_tld(Grid), z_tld(Grid);
Field p(Grid), q(Grid), p_tld(Grid);
Real normb = norm2(b);
LinOp.Op(x,r); r = b - r;
assert(normb> 0.0);
resid = norm2(r)/normb;
if (resid <= Tolerance) {
return;
}
v_tld = r;
y = v_tld;
rho = norm2(y);
// Take Gamma5 conjugate
// Gamma G5(Gamma::Algebra::Gamma5);
// G5R5(w_tld,r);
// w_tld = G5* v_tld;
w_tld=v_tld;
z = w_tld;
xi = norm2(z);
gamma = 1.0;
eta = -1.0;
theta = 0.0;
for (int i = 1; i <= MaxIterations; i++) {
// Breakdown tests
assert( rho != 0.0);
assert( xi != 0.0);
v = (1. / rho) * v_tld;
y = (1. / rho) * y;
w = (1. / xi) * w_tld;
z = (1. / xi) * z;
ComplexD Zdelta = innerProduct(z, y); // Complex?
std::cout << "Zdelta "<<Zdelta<<std::endl;
delta = Zdelta.real();
y_tld = y;
z_tld = z;
if (i > 1) {
p = y_tld - (xi * delta / ep) * p;
q = z_tld - (rho * delta / ep) * q;
} else {
p = y_tld;
q = z_tld;
}
LinOp.Op(p,p_tld); // p_tld = A * p;
ComplexD Zep = innerProduct(q, p_tld);
ep=Zep.real();
std::cout << "Zep "<<Zep <<std::endl;
// Complex Audit
assert(abs(ep)>0);
beta = ep / delta;
assert(abs(beta)>0);
v_tld = p_tld - beta * v;
y = v_tld;
rho_1 = rho;
rho = norm2(y);
LinOp.AdjOp(q,w_tld);
w_tld = w_tld - beta * w;
z = w_tld;
xi = norm2(z);
gamma_1 = gamma;
theta_1 = theta;
theta = rho / (gamma_1 * beta);
gamma = 1.0 / sqrt(1.0 + theta * theta);
std::cout << "theta "<<theta<<std::endl;
std::cout << "gamma "<<gamma<<std::endl;
assert(abs(gamma)> 0.0);
eta = -eta * rho_1 * gamma* gamma / (beta * gamma_1 * gamma_1);
if (i > 1) {
d = eta * p + (theta_1 * theta_1 * gamma * gamma) * d;
s = eta * p_tld + (theta_1 * theta_1 * gamma * gamma) * s;
} else {
d = eta * p;
s = eta * p_tld;
}
x =x+d; // update approximation vector
r =r-s; // compute residual
if ((resid = norm2(r) / normb) <= Tolerance) {
return;
}
std::cout << "Iteration "<<i<<" resid " << resid<<std::endl;
}
assert(0);
return; // no convergence
}
#else
// QMRg5 SMP thesis
void operator()(LinearOperatorBase<Field> &LinOp, const Field &b, Field &x)
{
// Real scalars
GridBase *grid = b.Grid();
Field r(grid);
Field p_m(grid), p_m_minus_1(grid), p_m_minus_2(grid);
Field v_m(grid), v_m_minus_1(grid), v_m_plus_1(grid);
Field tmp(grid);
RealD w;
RealD z1, z2;
RealD delta_m, delta_m_minus_1;
RealD c_m_plus_1, c_m, c_m_minus_1;
RealD s_m_plus_1, s_m, s_m_minus_1;
RealD alpha, beta, gamma, epsilon;
RealD mu, nu, rho, theta, xi, chi;
RealD mod2r, mod2b;
RealD tau2, target2;
mod2b=norm2(b);
/////////////////////////
// Initial residual
/////////////////////////
LinOp.Op(x,tmp);
r = b - tmp;
/////////////////////////
// \mu = \rho = |r_0|
/////////////////////////
mod2r = norm2(r);
rho = sqrt( mod2r);
mu=rho;
std::cout << "QuasiMinimalResidual rho "<< rho<<std::endl;
/////////////////////////
// Zero negative history
/////////////////////////
v_m_plus_1 = Zero();
v_m_minus_1 = Zero();
p_m_minus_1 = Zero();
p_m_minus_2 = Zero();
// v0
v_m = (1.0/rho)*r;
/////////////////////////
// Initial coeffs
/////////////////////////
delta_m_minus_1 = 1.0;
c_m_minus_1 = 1.0;
c_m = 1.0;
s_m_minus_1 = 0.0;
s_m = 0.0;
/////////////////////////
// Set up convergence check
/////////////////////////
tau2 = mod2r;
target2 = mod2b * Tolerance*Tolerance;
for(int iter = 0 ; iter < MaxIterations; iter++){
/////////////////////////
// \delta_m = (v_m, \gamma_5 v_m)
/////////////////////////
delta_m = innerG5ProductReal(v_m,v_m);
std::cout << "QuasiMinimalResidual delta_m "<< delta_m<<std::endl;
/////////////////////////
// tmp = A v_m
/////////////////////////
LinOp.Op(v_m,tmp);
/////////////////////////
// \alpha = (v_m, \gamma_5 temp) / \delta_m
/////////////////////////
alpha = innerG5ProductReal(v_m,tmp);
alpha = alpha/delta_m ;
std::cout << "QuasiMinimalResidual alpha "<< alpha<<std::endl;
/////////////////////////
// \beta = \rho \delta_m / \delta_{m-1}
/////////////////////////
beta = rho * delta_m / delta_m_minus_1;
std::cout << "QuasiMinimalResidual beta "<< beta<<std::endl;
/////////////////////////
// \tilde{v}_{m+1} = temp - \alpha v_m - \beta v_{m-1}
/////////////////////////
v_m_plus_1 = tmp - alpha*v_m - beta*v_m_minus_1;
///////////////////////////////
// \rho = || \tilde{v}_{m+1} ||
///////////////////////////////
rho = sqrt( norm2(v_m_plus_1) );
std::cout << "QuasiMinimalResidual rho "<< rho<<std::endl;
///////////////////////////////
// v_{m+1} = \tilde{v}_{m+1}
///////////////////////////////
v_m_plus_1 = (1.0 / rho) * v_m_plus_1;
////////////////////////////////
// QMR recurrence coefficients.
////////////////////////////////
theta = s_m_minus_1 * beta;
gamma = c_m_minus_1 * beta;
epsilon = c_m * gamma + s_m * alpha;
xi = -s_m * gamma + c_m * alpha;
nu = sqrt( xi*xi + rho*rho );
c_m_plus_1 = fabs(xi) / nu;
if ( xi == 0.0 ) {
s_m_plus_1 = 1.0;
} else {
s_m_plus_1 = c_m_plus_1 * rho / xi;
}
chi = c_m_plus_1 * xi + s_m_plus_1 * rho;
std::cout << "QuasiMinimalResidual coeffs "<< theta <<" "<<gamma<<" "<< epsilon<<" "<< xi<<" "<< nu<<std::endl;
std::cout << "QuasiMinimalResidual coeffs "<< chi <<std::endl;
////////////////////////////////
//p_m=(v_m - \epsilon p_{m-1} - \theta p_{m-2}) / \chi
////////////////////////////////
p_m = (1.0/chi) * v_m - (epsilon/chi) * p_m_minus_1 - (theta/chi) * p_m_minus_2;
////////////////////////////////////////////////////////////////
// \psi = \psi + c_{m+1} \mu p_m
////////////////////////////////////////////////////////////////
x = x + ( c_m_plus_1 * mu ) * p_m;
////////////////////////////////////////
//
////////////////////////////////////////
mu = -s_m_plus_1 * mu;
delta_m_minus_1 = delta_m;
c_m_minus_1 = c_m;
c_m = c_m_plus_1;
s_m_minus_1 = s_m;
s_m = s_m_plus_1;
////////////////////////////////////
// Could use pointer swizzle games.
////////////////////////////////////
v_m_minus_1 = v_m;
v_m = v_m_plus_1;
p_m_minus_2 = p_m_minus_1;
p_m_minus_1 = p_m;
/////////////////////////////////////
// Convergence checks
/////////////////////////////////////
z1 = RealD(iter+1.0);
z2 = z1 + 1.0;
tau2 = tau2 *( z2 / z1 ) * s_m * s_m;
std::cout << " QuasiMinimumResidual iteration "<< iter<<std::endl;
std::cout << " QuasiMinimumResidual tau bound "<< tau2<<std::endl;
// Compute true residual
mod2r = tau2;
if ( 1 || (tau2 < (100.0 * target2)) ) {
LinOp.Op(x,tmp);
r = b - tmp;
mod2r = norm2(r);
std::cout << " QuasiMinimumResidual true residual is "<< mod2r<<std::endl;
}
if ( mod2r < target2 ) {
std::cout << " QuasiMinimumResidual has converged"<<std::endl;
return;
}
}
}
#endif
};
NAMESPACE_END(Grid);

View File

@ -27,7 +27,51 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
/* END LEGAL */ /* END LEGAL */
#pragma once #pragma once
NAMESPACE_BEGIN(Grid); namespace Grid {
namespace QCD {
template<class Field>
class PauliVillarsSolverUnprec
{
public:
ConjugateGradient<Field> & CG;
PauliVillarsSolverUnprec( ConjugateGradient<Field> &_CG) : CG(_CG){};
template<class Matrix>
void operator() (Matrix &_Matrix,const Field &src,Field &sol)
{
RealD m = _Matrix.Mass();
Field A (_Matrix.FermionGrid());
MdagMLinearOperator<Matrix,Field> HermOp(_Matrix);
_Matrix.SetMass(1.0);
_Matrix.Mdag(src,A);
CG(HermOp,A,sol);
_Matrix.SetMass(m);
};
};
template<class Field>
class PauliVillarsSolverRBprec
{
public:
ConjugateGradient<Field> & CG;
PauliVillarsSolverRBprec( ConjugateGradient<Field> &_CG) : CG(_CG){};
template<class Matrix>
void operator() (Matrix &_Matrix,const Field &src,Field &sol)
{
RealD m = _Matrix.Mass();
Field A (_Matrix.FermionGrid());
_Matrix.SetMass(1.0);
SchurRedBlackDiagMooeeSolve<Field> SchurSolver(CG);
SchurSolver(_Matrix,src,sol);
_Matrix.SetMass(m);
};
};
template<class Field,class PVinverter> class Reconstruct5DfromPhysical { template<class Field,class PVinverter> class Reconstruct5DfromPhysical {
private: private:
@ -41,12 +85,20 @@ template<class Field,class PVinverter> class Reconstruct5DfromPhysical {
// of the Mobius exact AMA corrections. // of the Mobius exact AMA corrections.
// //
// TODO : understand absence of contact term in eqns in Hantao's thesis // TODO : understand absence of contact term in eqns in Hantao's thesis
// sol4 is contact term subtracted, but thesis & Brower's paper suggests not. // sol4 is contact term subtracted.
// //
// Step 1: Localise PV inverse in a routine. [DONE] // Options
// a) Defect correction approach:
// 1) Compute defect from current soln (initially guess).
// This is ...... outerToInner check !!!!
// 2) Deflated Zmobius solve to get 4d soln
// Ensure deflation is working
// 3) Refine 5d Outer using the inner 4d delta soln
//
// Step 1: localise PV inverse in a routine. [DONE]
// Step 2: Schur based PV inverse [DONE] // Step 2: Schur based PV inverse [DONE]
// Step 3: Fourier accelerated PV inverse [DONE] // Step 3: Fourier accelerated PV inverse
// // Step 4:
///////////////////////////////////////////////////// /////////////////////////////////////////////////////
Reconstruct5DfromPhysical(PVinverter &_PauliVillarsSolver) Reconstruct5DfromPhysical(PVinverter &_PauliVillarsSolver)
@ -130,5 +182,5 @@ template<class Field,class PVinverter> class Reconstruct5DfromPhysical {
} }
}; };
NAMESPACE_END(Grid); }
}

View File

@ -87,25 +87,228 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
namespace Grid { namespace Grid {
/////////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////////
// Use base class to share code // Take a matrix and form a Red Black solver calling a Herm solver
// Use of RB info prevents making SchurRedBlackSolve conform to standard interface
/////////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////////
// Now make the norm reflect extra factor of Mee
template<class Field> class SchurRedBlackStaggeredSolve {
private:
OperatorFunction<Field> & _HermitianRBSolver;
int CBfactorise;
bool subGuess;
public:
/////////////////////////////////////////////////////
// Wrap the usual normal equations Schur trick
/////////////////////////////////////////////////////
SchurRedBlackStaggeredSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false) :
_HermitianRBSolver(HermitianRBSolver)
{
CBfactorise=0;
subtractGuess(initSubGuess);
};
void subtractGuess(const bool initSubGuess)
{
subGuess = initSubGuess;
}
bool isSubtractGuess(void)
{
return subGuess;
}
template<class Matrix>
void operator() (Matrix & _Matrix,const Field &in, Field &out){
ZeroGuesser<Field> guess;
(*this)(_Matrix,in,out,guess);
}
template<class Matrix, class Guesser>
void operator() (Matrix & _Matrix,const Field &in, Field &out, Guesser &guess){
// FIXME CGdiagonalMee not implemented virtual function
// FIXME use CBfactorise to control schur decomp
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
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);
std::cout << GridLogMessage << " SchurRedBlackStaggeredSolve " <<std::endl;
pickCheckerboard(Even,src_e,in);
pickCheckerboard(Odd ,src_o,in);
pickCheckerboard(Even,sol_e,out);
pickCheckerboard(Odd ,sol_o,out);
std::cout << GridLogMessage << " SchurRedBlackStaggeredSolve checkerboards picked" <<std::endl;
/////////////////////////////////////////////////////
// src_o = (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_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);
//src_o = tmp; assert(src_o.checkerboard ==Odd);
_Matrix.Mooee(tmp,src_o); // Extra factor of "m" in source from dumb choice of matrix norm.
//////////////////////////////////////////////////////////////
// Call the red-black solver
//////////////////////////////////////////////////////////////
std::cout<<GridLogMessage << "SchurRedBlackStaggeredSolver calling the Mpc solver" <<std::endl;
guess(src_o, sol_o);
Mtmp = sol_o;
_HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
std::cout<<GridLogMessage << "SchurRedBlackStaggeredSolver called the Mpc solver" <<std::endl;
// Fionn A2A boolean behavioural control
if (subGuess) sol_o = sol_o-Mtmp;
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_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);
std::cout<<GridLogMessage << "SchurRedBlackStaggeredSolver reconstructed other CB" <<std::endl;
setCheckerboard(out,sol_e); assert( sol_e.checkerboard ==Even);
setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
std::cout<<GridLogMessage << "SchurRedBlackStaggeredSolver inserted solution" <<std::endl;
// Verify the unprec residual
if ( ! subGuess ) {
_Matrix.M(out,resid);
resid = resid-in;
RealD ns = norm2(in);
RealD nr = norm2(resid);
std::cout<<GridLogMessage << "SchurRedBlackStaggered solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
} else {
std::cout << GridLogMessage << "Guess subtracted after solve." << std::endl;
}
}
};
template<class Field> using SchurRedBlackStagSolve = SchurRedBlackStaggeredSolve<Field>;
/////////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////////
// Take a matrix and form a Red Black solver calling a Herm solver // Take a matrix and form a Red Black solver calling a Herm solver
// Use of RB info prevents making SchurRedBlackSolve conform to standard interface // Use of RB info prevents making SchurRedBlackSolve conform to standard interface
/////////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SchurRedBlackBase { template<class Field> class SchurRedBlackDiagMooeeSolve {
protected: private:
typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
OperatorFunction<Field> & _HermitianRBSolver; OperatorFunction<Field> & _HermitianRBSolver;
int CBfactorise; int CBfactorise;
bool subGuess; bool subGuess;
bool useSolnAsInitGuess; // if true user-supplied solution vector is used as initial guess for solver
public: public:
SchurRedBlackBase(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false, /////////////////////////////////////////////////////
const bool _solnAsInitGuess = false) : // Wrap the usual normal equations Schur trick
_HermitianRBSolver(HermitianRBSolver), /////////////////////////////////////////////////////
useSolnAsInitGuess(_solnAsInitGuess) SchurRedBlackDiagMooeeSolve(OperatorFunction<Field> &HermitianRBSolver,int cb=0, const bool initSubGuess = false) : _HermitianRBSolver(HermitianRBSolver)
{
CBfactorise=cb;
subtractGuess(initSubGuess);
};
void subtractGuess(const bool initSubGuess)
{
subGuess = initSubGuess;
}
bool isSubtractGuess(void)
{
return subGuess;
}
template<class Matrix>
void operator() (Matrix & _Matrix,const Field &in, Field &out){
ZeroGuesser<Field> guess;
(*this)(_Matrix,in,out,guess);
}
template<class Matrix, class Guesser>
void operator() (Matrix & _Matrix,const Field &in, Field &out,Guesser &guess){
// FIXME CGdiagonalMee not implemented virtual function
// FIXME use CBfactorise to control schur decomp
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
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);
pickCheckerboard(Even,sol_e,out);
pickCheckerboard(Odd ,sol_o,out);
/////////////////////////////////////////////////////
// src_o = Mdag * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_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);
// get the right MpcDag
_HermOpEO.MpcDag(tmp,src_o); assert(src_o.checkerboard ==Odd);
//////////////////////////////////////////////////////////////
// Call the red-black solver
//////////////////////////////////////////////////////////////
std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
guess(src_o,sol_o);
Mtmp = sol_o;
_HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
// Fionn A2A boolean behavioural control
if (subGuess) sol_o = sol_o-Mtmp;
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_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); assert( sol_e.checkerboard ==Even);
setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
// Verify the unprec residual
if ( ! subGuess ) {
_Matrix.M(out,resid);
resid = resid-in;
RealD ns = norm2(in);
RealD nr = norm2(resid);
std::cout<<GridLogMessage << "SchurRedBlackDiagMooee solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
} else {
std::cout << GridLogMessage << "Guess subtracted after solve." << std::endl;
}
}
};
///////////////////////////////////////////////////////////////////////////////////////////////////////
// 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 SchurRedBlackDiagTwoSolve {
private:
OperatorFunction<Field> & _HermitianRBSolver;
int CBfactorise;
bool subGuess;
public:
/////////////////////////////////////////////////////
// Wrap the usual normal equations Schur trick
/////////////////////////////////////////////////////
SchurRedBlackDiagTwoSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false) :
_HermitianRBSolver(HermitianRBSolver)
{ {
CBfactorise = 0; CBfactorise = 0;
subtractGuess(initSubGuess); subtractGuess(initSubGuess);
@ -119,120 +322,12 @@ namespace Grid {
return subGuess; return subGuess;
} }
///////////////////////////////////////////////////////////// template<class Matrix>
// Shared code
/////////////////////////////////////////////////////////////
void operator() (Matrix & _Matrix,const Field &in, Field &out){ void operator() (Matrix & _Matrix,const Field &in, Field &out){
ZeroGuesser<Field> guess; ZeroGuesser<Field> guess;
(*this)(_Matrix,in,out,guess); (*this)(_Matrix,in,out,guess);
} }
void operator()(Matrix &_Matrix, const std::vector<Field> &in, std::vector<Field> &out) template<class Matrix,class Guesser>
{
ZeroGuesser<Field> guess;
(*this)(_Matrix,in,out,guess);
}
void RedBlackSource(Matrix &_Matrix, const std::vector<Field> &in, std::vector<Field> &src_o)
{
GridBase *grid = _Matrix.RedBlackGrid();
Field tmp(grid);
int nblock = in.size();
for(int b=0;b<nblock;b++){
RedBlackSource(_Matrix,in[b],tmp,src_o[b]);
}
}
// James can write his own deflated guesser
// with optimised code for the inner products
// RedBlackSolveSplitGrid();
// RedBlackSolve(_Matrix,src_o,sol_o);
void RedBlackSolution(Matrix &_Matrix, const std::vector<Field> &in, const std::vector<Field> &sol_o, std::vector<Field> &out)
{
GridBase *grid = _Matrix.RedBlackGrid();
Field tmp(grid);
int nblock = in.size();
for(int b=0;b<nblock;b++) {
pickCheckerboard(Even,tmp,in[b]);
RedBlackSolution(_Matrix,sol_o[b],tmp,out[b]);
}
}
template<class Guesser>
void operator()(Matrix &_Matrix, const std::vector<Field> &in, std::vector<Field> &out,Guesser &guess)
{
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
int nblock = in.size();
std::vector<Field> src_o(nblock,grid);
std::vector<Field> sol_o(nblock,grid);
std::vector<Field> guess_save;
Field resid(fgrid);
Field tmp(grid);
////////////////////////////////////////////////
// Prepare RedBlack source
////////////////////////////////////////////////
RedBlackSource(_Matrix,in,src_o);
// for(int b=0;b<nblock;b++){
// RedBlackSource(_Matrix,in[b],tmp,src_o[b]);
// }
////////////////////////////////////////////////
// Make the guesses
////////////////////////////////////////////////
if ( subGuess ) guess_save.resize(nblock,grid);
if(useSolnAsInitGuess) {
for(int b=0;b<nblock;b++){
pickCheckerboard(Odd, sol_o[b], out[b]);
}
} else {
guess(src_o, sol_o);
}
if ( subGuess ) {
for(int b=0;b<nblock;b++){
guess_save[b] = sol_o[b];
}
}
//////////////////////////////////////////////////////////////
// Call the block solver
//////////////////////////////////////////////////////////////
std::cout<<GridLogMessage << "SchurRedBlackBase calling the solver for "<<nblock<<" RHS" <<std::endl;
RedBlackSolve(_Matrix,src_o,sol_o);
////////////////////////////////////////////////
// A2A boolean behavioural control & reconstruct other checkerboard
////////////////////////////////////////////////
for(int b=0;b<nblock;b++) {
if (subGuess) sol_o[b] = sol_o[b] - guess_save[b];
///////// Needs even source //////////////
pickCheckerboard(Even,tmp,in[b]);
RedBlackSolution(_Matrix,sol_o[b],tmp,out[b]);
/////////////////////////////////////////////////
// Check unprec residual if possible
/////////////////////////////////////////////////
if ( ! subGuess ) {
_Matrix.M(out[b],resid);
resid = resid-in[b];
RealD ns = norm2(in[b]);
RealD nr = norm2(resid);
std::cout<<GridLogMessage<< "SchurRedBlackBase solver true unprec resid["<<b<<"] "<<std::sqrt(nr/ns) << std::endl;
} else {
std::cout<<GridLogMessage<< "SchurRedBlackBase Guess subtracted after solve["<<b<<"] " << std::endl;
}
}
}
template<class Guesser>
void operator() (Matrix & _Matrix,const Field &in, Field &out,Guesser &guess){ void operator() (Matrix & _Matrix,const Field &in, Field &out,Guesser &guess){
// FIXME CGdiagonalMee not implemented virtual function // FIXME CGdiagonalMee not implemented virtual function
@ -240,42 +335,52 @@ namespace Grid {
GridBase *grid = _Matrix.RedBlackGrid(); GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid(); GridBase *fgrid= _Matrix.Grid();
Field resid(fgrid); SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
Field src_o(grid);
Field src_e(grid); Field src_e(grid);
Field src_o(grid);
Field sol_e(grid);
Field sol_o(grid); Field sol_o(grid);
Field tmp(grid);
Field Mtmp(grid);
Field resid(fgrid);
//////////////////////////////////////////////// pickCheckerboard(Even,src_e,in);
// RedBlack source pickCheckerboard(Odd ,src_o,in);
//////////////////////////////////////////////// pickCheckerboard(Even,sol_e,out);
RedBlackSource(_Matrix,in,src_e,src_o); pickCheckerboard(Odd ,sol_o,out);
/////////////////////////////////////////////////////
// src_o = Mdag * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_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);
//////////////////////////////// // get the right MpcDag
// Construct the guess _HermOpEO.MpcDag(tmp,src_o); assert(src_o.checkerboard ==Odd);
////////////////////////////////
if(useSolnAsInitGuess) {
pickCheckerboard(Odd, sol_o, out);
} else {
guess(src_o,sol_o);
}
Field guess_save(grid);
guess_save = sol_o;
////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////
// Call the red-black solver // Call the red-black solver
////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////
RedBlackSolve(_Matrix,src_o,sol_o); std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
// _HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
//////////////////////////////////////////////// guess(src_o,tmp);
Mtmp = tmp;
_HermitianRBSolver(_HermOpEO,src_o,tmp); assert(tmp.checkerboard==Odd);
// Fionn A2A boolean behavioural control // Fionn A2A boolean behavioural control
//////////////////////////////////////////////// if (subGuess) tmp = tmp-Mtmp;
if (subGuess) sol_o= sol_o-guess_save; _Matrix.MooeeInv(tmp,sol_o); assert( sol_o.checkerboard ==Odd);
/////////////////////////////////////////////////// ///////////////////////////////////////////////////
// RedBlack solution needs the even source // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
/////////////////////////////////////////////////// ///////////////////////////////////////////////////
RedBlackSolution(_Matrix,sol_o,src_e,out); _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); assert( sol_e.checkerboard ==Even);
setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
// Verify the unprec residual // Verify the unprec residual
if ( ! subGuess ) { if ( ! subGuess ) {
@ -284,449 +389,115 @@ namespace Grid {
RealD ns = norm2(in); RealD ns = norm2(in);
RealD nr = norm2(resid); RealD nr = norm2(resid);
std::cout<<GridLogMessage << "SchurRedBlackBase solver true unprec resid "<< std::sqrt(nr/ns) << std::endl; std::cout<<GridLogMessage << "SchurRedBlackDiagTwo solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
} else { } else {
std::cout << GridLogMessage << "SchurRedBlackBase Guess subtracted after solve." << std::endl; std::cout << GridLogMessage << "Guess subtracted after solve." << std::endl;
} }
} }
/////////////////////////////////////////////////////////////
// Override in derived.
/////////////////////////////////////////////////////////////
virtual void RedBlackSource (Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o) =0;
virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol) =0;
virtual void RedBlackSolve (Matrix & _Matrix,const Field &src_o, Field &sol_o) =0;
virtual void RedBlackSolve (Matrix & _Matrix,const std::vector<Field> &src_o, std::vector<Field> &sol_o)=0;
}; };
///////////////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SchurRedBlackStaggeredSolve : public SchurRedBlackBase<Field> { // 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 SchurRedBlackDiagTwoMixed {
private:
LinearFunction<Field> & _HermitianRBSolver;
int CBfactorise;
bool subGuess;
public: public:
typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
SchurRedBlackStaggeredSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
const bool _solnAsInitGuess = false)
: SchurRedBlackBase<Field> (HermitianRBSolver,initSubGuess,_solnAsInitGuess)
{
}
//////////////////////////////////////////////////////
// Override RedBlack specialisation
//////////////////////////////////////////////////////
virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
{
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
Field tmp(grid);
Field Mtmp(grid);
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd ,src_o,src);
/////////////////////////////////////////////////////
// src_o = (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_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.Mooee(tmp,src_o); // Extra factor of "m" in source from dumb choice of matrix norm.
}
virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e_c,Field &sol)
{
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
Field tmp(grid);
Field sol_e(grid);
Field src_e(grid);
src_e = src_e_c; // Const correctness
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_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(sol,sol_e); assert( sol_e.Checkerboard() ==Even);
setCheckerboard(sol,sol_o); assert( sol_o.Checkerboard() ==Odd );
}
virtual void RedBlackSolve (Matrix & _Matrix,const Field &src_o, Field &sol_o)
{
SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.Checkerboard()==Odd);
};
virtual void RedBlackSolve (Matrix & _Matrix,const std::vector<Field> &src_o, std::vector<Field> &sol_o)
{
SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);
}
};
template<class Field> using SchurRedBlackStagSolve = SchurRedBlackStaggeredSolve<Field>;
///////////////////////////////////////////////////////////////////////////////////////////////////////
// Site diagonal has Mooee on it.
///////////////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SchurRedBlackDiagMooeeSolve : public SchurRedBlackBase<Field> {
public:
typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
SchurRedBlackDiagMooeeSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
const bool _solnAsInitGuess = false)
: SchurRedBlackBase<Field> (HermitianRBSolver,initSubGuess,_solnAsInitGuess) {};
//////////////////////////////////////////////////////
// Override RedBlack specialisation
//////////////////////////////////////////////////////
virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
{
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
Field tmp(grid);
Field Mtmp(grid);
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd ,src_o,src);
/////////////////////////////////////////////////////
// src_o = Mdag * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_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);
// get the right MpcDag
SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
_HermOpEO.MpcDag(tmp,src_o); assert(src_o.Checkerboard() ==Odd);
}
virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol)
{
GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid();
Field tmp(grid);
Field sol_e(grid);
Field src_e_i(grid);
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_Matrix.Meooe(sol_o,tmp); assert( tmp.Checkerboard() ==Even);
src_e_i = src_e-tmp; assert( src_e_i.Checkerboard() ==Even);
_Matrix.MooeeInv(src_e_i,sol_e); assert( sol_e.Checkerboard() ==Even);
setCheckerboard(sol,sol_e); assert( sol_e.Checkerboard() ==Even);
setCheckerboard(sol,sol_o); assert( sol_o.Checkerboard() ==Odd );
}
virtual void RedBlackSolve (Matrix & _Matrix,const Field &src_o, Field &sol_o)
{
SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.Checkerboard()==Odd);
};
virtual void RedBlackSolve (Matrix & _Matrix,const std::vector<Field> &src_o, std::vector<Field> &sol_o)
{
SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);
}
};
template<class Field> class NonHermitianSchurRedBlackDiagMooeeSolve : public SchurRedBlackBase<Field>
{
public:
typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
NonHermitianSchurRedBlackDiagMooeeSolve(OperatorFunction<Field>& RBSolver, const bool initSubGuess = false,
const bool _solnAsInitGuess = false)
: SchurRedBlackBase<Field>(RBSolver, initSubGuess, _solnAsInitGuess) {};
//////////////////////////////////////////////////////
// Override RedBlack specialisation
//////////////////////////////////////////////////////
virtual void RedBlackSource(Matrix& _Matrix, const Field& src, Field& src_e, Field& src_o)
{
GridBase* grid = _Matrix.RedBlackGrid();
GridBase* fgrid = _Matrix.Grid();
Field tmp(grid);
Field Mtmp(grid);
pickCheckerboard(Even, src_e, src);
pickCheckerboard(Odd , src_o, src);
/////////////////////////////////////////////////////
// src_o = Mdag * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_Matrix.MooeeInv(src_e, tmp); assert( tmp.Checkerboard() == Even );
_Matrix.Meooe (tmp, Mtmp); assert( Mtmp.Checkerboard() == Odd );
src_o -= Mtmp; assert( src_o.Checkerboard() == Odd );
}
virtual void RedBlackSolution(Matrix& _Matrix, const Field& sol_o, const Field& src_e, Field& sol)
{
GridBase* grid = _Matrix.RedBlackGrid();
GridBase* fgrid = _Matrix.Grid();
Field tmp(grid);
Field sol_e(grid);
Field src_e_i(grid);
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_Matrix.Meooe(sol_o, tmp); assert( tmp.Checkerboard() == Even );
src_e_i = src_e - tmp; assert( src_e_i.Checkerboard() == Even );
_Matrix.MooeeInv(src_e_i, sol_e); assert( sol_e.Checkerboard() == Even );
setCheckerboard(sol, sol_e); assert( sol_e.Checkerboard() == Even );
setCheckerboard(sol, sol_o); assert( sol_o.Checkerboard() == Odd );
}
virtual void RedBlackSolve(Matrix& _Matrix, const Field& src_o, Field& sol_o)
{
NonHermitianSchurDiagMooeeOperator<Matrix,Field> _OpEO(_Matrix);
this->_HermitianRBSolver(_OpEO, src_o, sol_o); assert(sol_o.Checkerboard() == Odd);
}
virtual void RedBlackSolve(Matrix& _Matrix, const std::vector<Field>& src_o, std::vector<Field>& sol_o)
{
NonHermitianSchurDiagMooeeOperator<Matrix,Field> _OpEO(_Matrix);
this->_HermitianRBSolver(_OpEO, src_o, sol_o);
}
};
///////////////////////////////////////////////////////////////////////////////////////////////////////
// Site diagonal is identity, left preconditioned by Mee^inv
// ( 1 - Mee^inv Meo Moo^inv Moe ) phi = Mee_inv ( Mee - Meo Moo^inv Moe Mee^inv ) phi = Mee_inv eta
//
// Solve:
// ( 1 - Mee^inv Meo Moo^inv Moe )^dag ( 1 - Mee^inv Meo Moo^inv Moe ) phi = ( 1 - Mee^inv Meo Moo^inv Moe )^dag Mee_inv eta
//
// Old notation e<->o
//
// Left precon by Moo^-1
// b) (Doo^{dag} M_oo^-dag) (Moo^-1 Doo) psi_o = [ (D_oo)^dag M_oo^-dag ] Moo^-1 L^{-1} eta_o
// eta_o' = (D_oo)^dag M_oo^-dag Moo^-1 (eta_o - Moe Mee^{-1} eta_e)
///////////////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SchurRedBlackDiagOneSolve : public SchurRedBlackBase<Field> {
public:
typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
///////////////////////////////////////////////////// /////////////////////////////////////////////////////
// Wrap the usual normal equations Schur trick // Wrap the usual normal equations Schur trick
///////////////////////////////////////////////////// /////////////////////////////////////////////////////
SchurRedBlackDiagOneSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false, SchurRedBlackDiagTwoMixed(LinearFunction<Field> &HermitianRBSolver, const bool initSubGuess = false) :
const bool _solnAsInitGuess = false) _HermitianRBSolver(HermitianRBSolver)
: SchurRedBlackBase<Field>(HermitianRBSolver,initSubGuess,_solnAsInitGuess) {}; {
CBfactorise=0;
virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o) subtractGuess(initSubGuess);
};
void subtractGuess(const bool initSubGuess)
{ {
GridBase *grid = _Matrix.RedBlackGrid(); subGuess = initSubGuess;
GridBase *fgrid= _Matrix.Grid(); }
bool isSubtractGuess(void)
SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix); {
return subGuess;
Field tmp(grid);
Field Mtmp(grid);
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd ,src_o,src);
/////////////////////////////////////////////////////
// src_o = Mpcdag *MooeeInv * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_Matrix.MooeeInv(src_e,tmp); assert( tmp.Checkerboard() ==Even);
_Matrix.Meooe (tmp,Mtmp); assert( Mtmp.Checkerboard() ==Odd);
Mtmp=src_o-Mtmp;
_Matrix.MooeeInv(Mtmp,tmp); assert( tmp.Checkerboard() ==Odd);
// get the right MpcDag
_HermOpEO.MpcDag(tmp,src_o); assert(src_o.Checkerboard() ==Odd);
} }
virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol) template<class Matrix>
{ void operator() (Matrix & _Matrix,const Field &in, Field &out){
GridBase *grid = _Matrix.RedBlackGrid(); ZeroGuesser<Field> guess;
GridBase *fgrid= _Matrix.Grid(); (*this)(_Matrix,in,out,guess);
Field tmp(grid);
Field sol_e(grid);
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_Matrix.Meooe(sol_o,tmp); assert( tmp.Checkerboard() ==Even);
tmp = src_e-tmp; assert( src_e.Checkerboard() ==Even);
_Matrix.MooeeInv(tmp,sol_e); assert( sol_e.Checkerboard() ==Even);
setCheckerboard(sol,sol_e); assert( sol_e.Checkerboard() ==Even);
setCheckerboard(sol,sol_o); assert( sol_o.Checkerboard() ==Odd );
};
virtual void RedBlackSolve (Matrix & _Matrix,const Field &src_o, Field &sol_o)
{
SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);
};
virtual void RedBlackSolve (Matrix & _Matrix,const std::vector<Field> &src_o, std::vector<Field> &sol_o)
{
SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);
} }
}; template<class Matrix, class Guesser>
void operator() (Matrix & _Matrix,const Field &in, Field &out,Guesser &guess){
/////////////////////////////////////////////////////////////////////////////////////////////////////// // FIXME CGdiagonalMee not implemented virtual function
// Site diagonal is identity, right preconditioned by Mee^inv // FIXME use CBfactorise to control schur decomp
// ( 1 - Meo Moo^inv Moe Mee^inv ) phi =( 1 - Meo Moo^inv Moe Mee^inv ) Mee psi = = eta = eta
//=> psi = MeeInv phi
///////////////////////////////////////////////////////////////////////////////////////////////////////
template<class Field> class SchurRedBlackDiagTwoSolve : public SchurRedBlackBase<Field> {
public:
typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
/////////////////////////////////////////////////////
// Wrap the usual normal equations Schur trick
/////////////////////////////////////////////////////
SchurRedBlackDiagTwoSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
const bool _solnAsInitGuess = false)
: SchurRedBlackBase<Field>(HermitianRBSolver,initSubGuess,_solnAsInitGuess) {};
virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
{
GridBase *grid = _Matrix.RedBlackGrid(); GridBase *grid = _Matrix.RedBlackGrid();
GridBase *fgrid= _Matrix.Grid(); GridBase *fgrid= _Matrix.Grid();
SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix); SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
Field src_e(grid);
Field src_o(grid);
Field sol_e(grid);
Field sol_o(grid);
Field tmp(grid); Field tmp(grid);
Field Mtmp(grid); Field Mtmp(grid);
Field resid(fgrid);
pickCheckerboard(Even,src_e,src); pickCheckerboard(Even,src_e,in);
pickCheckerboard(Odd ,src_o,src); pickCheckerboard(Odd ,src_o,in);
pickCheckerboard(Even,sol_e,out);
pickCheckerboard(Odd ,sol_o,out);
///////////////////////////////////////////////////// /////////////////////////////////////////////////////
// src_o = Mdag * (source_o - Moe MeeInv source_e) // src_o = Mdag * (source_o - Moe MeeInv source_e)
///////////////////////////////////////////////////// /////////////////////////////////////////////////////
_Matrix.MooeeInv(src_e,tmp); assert( tmp.Checkerboard() ==Even); _Matrix.MooeeInv(src_e,tmp); assert( tmp.checkerboard ==Even);
_Matrix.Meooe (tmp,Mtmp); assert( Mtmp.Checkerboard() ==Odd); _Matrix.Meooe (tmp,Mtmp); assert( Mtmp.checkerboard ==Odd);
tmp=src_o-Mtmp; assert( tmp.Checkerboard() ==Odd); tmp=src_o-Mtmp; assert( tmp.checkerboard ==Odd);
// get the right MpcDag // get the right MpcDag
_HermOpEO.MpcDag(tmp,src_o); assert(src_o.Checkerboard() ==Odd); _HermOpEO.MpcDag(tmp,src_o); assert(src_o.checkerboard ==Odd);
}
virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol) //////////////////////////////////////////////////////////////
{ // Call the red-black solver
GridBase *grid = _Matrix.RedBlackGrid(); //////////////////////////////////////////////////////////////
GridBase *fgrid= _Matrix.Grid(); std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
// _HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
Field sol_o_i(grid); // _HermitianRBSolver(_HermOpEO,src_o,tmp); assert(tmp.checkerboard==Odd);
Field tmp(grid); guess(src_o,tmp);
Field sol_e(grid); Mtmp = tmp;
_HermitianRBSolver(_HermOpEO,src_o,tmp); assert(tmp.checkerboard==Odd);
//////////////////////////////////////////////// // Fionn A2A boolean behavioural control
// MooeeInv due to pecond if (subGuess) tmp = tmp-Mtmp;
//////////////////////////////////////////////// _Matrix.MooeeInv(tmp,sol_o); assert( sol_o.checkerboard ==Odd);
_Matrix.MooeeInv(sol_o,tmp);
sol_o_i = tmp;
/////////////////////////////////////////////////// ///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )... // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
/////////////////////////////////////////////////// ///////////////////////////////////////////////////
_Matrix.Meooe(sol_o_i,tmp); assert( tmp.Checkerboard() ==Even); _Matrix.Meooe(sol_o,tmp); assert( tmp.checkerboard ==Even);
tmp = src_e-tmp; assert( src_e.Checkerboard() ==Even); src_e = src_e-tmp; assert( src_e.checkerboard ==Even);
_Matrix.MooeeInv(tmp,sol_e); assert( sol_e.Checkerboard() ==Even); _Matrix.MooeeInv(src_e,sol_e); assert( sol_e.checkerboard ==Even);
setCheckerboard(sol,sol_e); assert( sol_e.Checkerboard() ==Even); setCheckerboard(out,sol_e); assert( sol_e.checkerboard ==Even);
setCheckerboard(sol,sol_o_i); assert( sol_o_i.Checkerboard() ==Odd ); setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
};
virtual void RedBlackSolve (Matrix & _Matrix,const Field &src_o, Field &sol_o) // Verify the unprec residual
{ if ( ! subGuess ) {
SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix); _Matrix.M(out,resid);
this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); resid = resid-in;
}; RealD ns = norm2(in);
virtual void RedBlackSolve (Matrix & _Matrix,const std::vector<Field> &src_o, std::vector<Field> &sol_o) RealD nr = norm2(resid);
{
SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix); std::cout << GridLogMessage << "SchurRedBlackDiagTwo solver true unprec resid " << std::sqrt(nr / ns) << " nr " << nr << " ns " << ns << std::endl;
this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); } else {
} std::cout << GridLogMessage << "Guess subtracted after solve." << std::endl;
}
}
}; };
template<class Field> class NonHermitianSchurRedBlackDiagTwoSolve : public SchurRedBlackBase<Field>
{
public:
typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
/////////////////////////////////////////////////////
// Wrap the usual normal equations Schur trick
/////////////////////////////////////////////////////
NonHermitianSchurRedBlackDiagTwoSolve(OperatorFunction<Field>& RBSolver, const bool initSubGuess = false,
const bool _solnAsInitGuess = false)
: SchurRedBlackBase<Field>(RBSolver, initSubGuess, _solnAsInitGuess) {};
virtual void RedBlackSource(Matrix& _Matrix, const Field& src, Field& src_e, Field& src_o)
{
GridBase* grid = _Matrix.RedBlackGrid();
GridBase* fgrid = _Matrix.Grid();
Field tmp(grid);
Field Mtmp(grid);
pickCheckerboard(Even, src_e, src);
pickCheckerboard(Odd , src_o, src);
/////////////////////////////////////////////////////
// src_o = Mdag * (source_o - Moe MeeInv source_e)
/////////////////////////////////////////////////////
_Matrix.MooeeInv(src_e, tmp); assert( tmp.Checkerboard() == Even );
_Matrix.Meooe (tmp, Mtmp); assert( Mtmp.Checkerboard() == Odd );
src_o -= Mtmp; assert( src_o.Checkerboard() == Odd );
}
virtual void RedBlackSolution(Matrix& _Matrix, const Field& sol_o, const Field& src_e, Field& sol)
{
GridBase* grid = _Matrix.RedBlackGrid();
GridBase* fgrid = _Matrix.Grid();
Field sol_o_i(grid);
Field tmp(grid);
Field sol_e(grid);
////////////////////////////////////////////////
// MooeeInv due to pecond
////////////////////////////////////////////////
_Matrix.MooeeInv(sol_o, tmp);
sol_o_i = tmp;
///////////////////////////////////////////////////
// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
///////////////////////////////////////////////////
_Matrix.Meooe(sol_o_i, tmp); assert( tmp.Checkerboard() == Even );
tmp = src_e - tmp; assert( src_e.Checkerboard() == Even );
_Matrix.MooeeInv(tmp, sol_e); assert( sol_e.Checkerboard() == Even );
setCheckerboard(sol, sol_e); assert( sol_e.Checkerboard() == Even );
setCheckerboard(sol, sol_o_i); assert( sol_o_i.Checkerboard() == Odd );
};
virtual void RedBlackSolve(Matrix& _Matrix, const Field& src_o, Field& sol_o)
{
NonHermitianSchurDiagTwoOperator<Matrix,Field> _OpEO(_Matrix);
this->_HermitianRBSolver(_OpEO, src_o, sol_o);
};
virtual void RedBlackSolve(Matrix& _Matrix, const std::vector<Field>& src_o, std::vector<Field>& sol_o)
{
NonHermitianSchurDiagTwoOperator<Matrix,Field> _OpEO(_Matrix);
this->_HermitianRBSolver(_OpEO, src_o, sol_o);
}
};
} }
#endif #endif

View File

@ -1,608 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/Aggregates.h
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
Author: paboyle <paboyle@ph.ed.ac.uk>
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
#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h>
NAMESPACE_BEGIN(Grid);
inline RealD AggregatePowerLaw(RealD x)
{
// return std::pow(x,-4);
// return std::pow(x,-3);
return std::pow(x,-5);
}
template<class Fobj,class CComplex,int nbasis>
class Aggregation {
public:
constexpr int Nbasis(void) { return nbasis; };
typedef iVector<CComplex,nbasis > siteVector;
typedef Lattice<siteVector> CoarseVector;
typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
typedef Lattice< CComplex > CoarseScalar; // used for inner products on fine field
typedef Lattice<Fobj > FineField;
GridBase *CoarseGrid;
GridBase *FineGrid;
std::vector<Lattice<Fobj> > subspace;
int checkerboard;
int Checkerboard(void){return checkerboard;}
Aggregation(GridBase *_CoarseGrid,GridBase *_FineGrid,int _checkerboard) :
CoarseGrid(_CoarseGrid),
FineGrid(_FineGrid),
subspace(nbasis,_FineGrid),
checkerboard(_checkerboard)
{
};
void Orthogonalise(void){
CoarseScalar InnerProd(CoarseGrid);
// std::cout << GridLogMessage <<" Block Gramm-Schmidt pass 1"<<std::endl;
blockOrthogonalise(InnerProd,subspace);
}
void ProjectToSubspace(CoarseVector &CoarseVec,const FineField &FineVec){
blockProject(CoarseVec,FineVec,subspace);
}
void PromoteFromSubspace(const CoarseVector &CoarseVec,FineField &FineVec){
FineVec.Checkerboard() = subspace[0].Checkerboard();
blockPromote(CoarseVec,FineVec,subspace);
}
virtual void CreateSubspaceRandom(GridParallelRNG &RNG) {
int nn=nbasis;
RealD scale;
FineField noise(FineGrid);
for(int b=0;b<nn;b++){
subspace[b] = Zero();
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
subspace[b] = noise;
}
}
virtual void CreateSubspace(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis)
{
RealD scale;
ConjugateGradient<FineField> CG(1.0e-3,400,false);
FineField noise(FineGrid);
FineField Mn(FineGrid);
for(int b=0;b<nn;b++){
subspace[b] = Zero();
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise ["<<b<<"] <n|MdagM|n> "<<norm2(Mn)<<std::endl;
for(int i=0;i<4;i++){
CG(hermop,noise,subspace[b]);
noise = subspace[b];
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
}
hermop.Op(noise,Mn); std::cout<<GridLogMessage << "filtered["<<b<<"] <f|MdagM|f> "<<norm2(Mn)<<std::endl;
subspace[b] = noise;
}
}
virtual void CreateSubspaceGCR(GridParallelRNG &RNG,LinearOperatorBase<FineField> &DiracOp,int nn=nbasis)
{
RealD scale;
TrivialPrecon<FineField> simple_fine;
PrecGeneralisedConjugateResidualNonHermitian<FineField> GCR(0.001,30,DiracOp,simple_fine,12,12);
FineField noise(FineGrid);
FineField src(FineGrid);
FineField guess(FineGrid);
FineField Mn(FineGrid);
for(int b=0;b<nn;b++){
subspace[b] = Zero();
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
DiracOp.Op(noise,Mn); std::cout<<GridLogMessage << "noise ["<<b<<"] <n|Op|n> "<<innerProduct(noise,Mn)<<std::endl;
for(int i=0;i<2;i++){
// void operator() (const Field &src, Field &psi){
#if 1
std::cout << GridLogMessage << " inverting on noise "<<std::endl;
src = noise;
guess=Zero();
GCR(src,guess);
subspace[b] = guess;
#else
std::cout << GridLogMessage << " inverting on zero "<<std::endl;
src=Zero();
guess = noise;
GCR(src,guess);
subspace[b] = guess;
#endif
noise = subspace[b];
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
}
DiracOp.Op(noise,Mn); std::cout<<GridLogMessage << "filtered["<<b<<"] <f|Op|f> "<<innerProduct(noise,Mn)<<std::endl;
subspace[b] = noise;
}
}
////////////////////////////////////////////////////////////////////////////////////////////////
// World of possibilities here. But have tried quite a lot of experiments (250+ jobs run on Summit)
// and this is the best I found
////////////////////////////////////////////////////////////////////////////////////////////////
virtual void CreateSubspaceChebyshev(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,
int nn,
double hi,
double lo,
int orderfilter,
int ordermin,
int orderstep,
double filterlo
) {
RealD scale;
FineField noise(FineGrid);
FineField Mn(FineGrid);
FineField tmp(FineGrid);
// New normalised noise
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
std::cout << GridLogMessage<<" Chebyshev subspace pass-1 : ord "<<orderfilter<<" ["<<lo<<","<<hi<<"]"<<std::endl;
std::cout << GridLogMessage<<" Chebyshev subspace pass-2 : nbasis"<<nn<<" min "
<<ordermin<<" step "<<orderstep
<<" lo"<<filterlo<<std::endl;
// Initial matrix element
hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
int b =0;
{
ComplexD ip;
// Filter
Chebyshev<FineField> Cheb(lo,hi,orderfilter);
Cheb(hermop,noise,Mn);
// normalise
scale = std::pow(norm2(Mn),-0.5); Mn=Mn*scale;
subspace[b] = Mn;
hermop.Op(Mn,tmp);
ip= innerProduct(Mn,tmp);
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|Op|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
hermop.AdjOp(Mn,tmp);
ip = innerProduct(Mn,tmp);
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|AdjOp|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
b++;
}
// Generate a full sequence of Chebyshevs
{
lo=filterlo;
noise=Mn;
FineField T0(FineGrid); T0 = noise;
FineField T1(FineGrid);
FineField T2(FineGrid);
FineField y(FineGrid);
FineField *Tnm = &T0;
FineField *Tn = &T1;
FineField *Tnp = &T2;
// Tn=T1 = (xscale M + mscale)in
RealD xscale = 2.0/(hi-lo);
RealD mscale = -(hi+lo)/(hi-lo);
hermop.HermOp(T0,y);
T1=y*xscale+noise*mscale;
for(int n=2;n<=ordermin+orderstep*(nn-2);n++){
hermop.HermOp(*Tn,y);
autoView( y_v , y, AcceleratorWrite);
autoView( Tn_v , (*Tn), AcceleratorWrite);
autoView( Tnp_v , (*Tnp), AcceleratorWrite);
autoView( Tnm_v , (*Tnm), AcceleratorWrite);
const int Nsimd = CComplex::Nsimd();
accelerator_for(ss, FineGrid->oSites(), Nsimd, {
coalescedWrite(y_v[ss],xscale*y_v(ss)+mscale*Tn_v(ss));
coalescedWrite(Tnp_v[ss],2.0*y_v(ss)-Tnm_v(ss));
});
// Possible more fine grained control is needed than a linear sweep,
// but huge productivity gain if this is simple algorithm and not a tunable
int m =1;
if ( n>=ordermin ) m=n-ordermin;
if ( (m%orderstep)==0 ) {
Mn=*Tnp;
scale = std::pow(norm2(Mn),-0.5); Mn=Mn*scale;
subspace[b] = Mn;
ComplexD ip;
hermop.Op(Mn,tmp);
ip= innerProduct(Mn,tmp);
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|Op|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
hermop.AdjOp(Mn,tmp);
ip = innerProduct(Mn,tmp);
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|AdjOp|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
b++;
}
// Cycle pointers to avoid copies
FineField *swizzle = Tnm;
Tnm =Tn;
Tn =Tnp;
Tnp =swizzle;
}
}
assert(b==nn);
}
virtual void CreateSubspacePolyCheby(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,
int nn,
double hi,
double lo1,
int orderfilter,
double lo2,
int orderstep)
{
RealD scale;
FineField noise(FineGrid);
FineField Mn(FineGrid);
FineField tmp(FineGrid);
// New normalised noise
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
std::cout << GridLogMessage<<" CreateSubspacePolyCheby "<<std::endl;
// Initial matrix element
hermop.Op(noise,Mn);
std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
int b =0;
{
// Filter
std::cout << GridLogMessage << "Cheby "<<lo1<<","<<hi<<" "<<orderstep<<std::endl;
Chebyshev<FineField> Cheb(lo1,hi,orderfilter);
Cheb(hermop,noise,Mn);
// normalise
scale = std::pow(norm2(Mn),-0.5); Mn=Mn*scale;
subspace[b] = Mn;
hermop.Op(Mn,tmp);
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|n> "<<norm2(Mn)<<std::endl;
}
// Generate a full sequence of Chebyshevs
for(int n=1;n<nn;n++){
std::cout << GridLogMessage << "Cheby "<<lo2<<","<<hi<<" "<<orderstep<<std::endl;
Chebyshev<FineField> Cheb(lo2,hi,orderstep);
Cheb(hermop,subspace[n-1],Mn);
for(int m=0;m<n;m++){
ComplexD c = innerProduct(subspace[m],Mn);
Mn = Mn - c*subspace[m];
}
// normalise
scale = std::pow(norm2(Mn),-0.5);
Mn=Mn*scale;
subspace[n]=Mn;
hermop.Op(Mn,tmp);
std::cout<<GridLogMessage << "filt ["<<n<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
std::cout<<GridLogMessage << "filt ["<<n<<"] <n|n> "<<norm2(Mn)<<std::endl;
}
}
virtual void CreateSubspaceChebyshev(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,
int nn,
double hi,
double lo,
int orderfilter
) {
RealD scale;
FineField noise(FineGrid);
FineField Mn(FineGrid);
FineField tmp(FineGrid);
// New normalised noise
std::cout << GridLogMessage<<" Chebyshev subspace pure noise : ord "<<orderfilter<<" ["<<lo<<","<<hi<<"]"<<std::endl;
std::cout << GridLogMessage<<" Chebyshev subspace pure noise : nbasis "<<nn<<std::endl;
for(int b =0;b<nbasis;b++)
{
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
// Initial matrix element
hermop.Op(noise,Mn);
if(b==0) std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
// Filter
Chebyshev<FineField> Cheb(lo,hi,orderfilter);
Cheb(hermop,noise,Mn);
scale = std::pow(norm2(Mn),-0.5); Mn=Mn*scale;
// Refine
Chebyshev<FineField> PowerLaw(lo,hi,1000,AggregatePowerLaw);
noise = Mn;
PowerLaw(hermop,noise,Mn);
scale = std::pow(norm2(Mn),-0.5); Mn=Mn*scale;
// normalise
subspace[b] = Mn;
hermop.Op(Mn,tmp);
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
}
}
virtual void CreateSubspaceChebyshevPowerLaw(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,
int nn,
double hi,
int orderfilter
) {
RealD scale;
FineField noise(FineGrid);
FineField Mn(FineGrid);
FineField tmp(FineGrid);
// New normalised noise
std::cout << GridLogMessage<<" Chebyshev subspace pure noise : ord "<<orderfilter<<" [0,"<<hi<<"]"<<std::endl;
std::cout << GridLogMessage<<" Chebyshev subspace pure noise : nbasis "<<nn<<std::endl;
for(int b =0;b<nbasis;b++)
{
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
// Initial matrix element
hermop.Op(noise,Mn);
if(b==0) std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
// Filter
Chebyshev<FineField> Cheb(0.0,hi,orderfilter,AggregatePowerLaw);
Cheb(hermop,noise,Mn);
// normalise
scale = std::pow(norm2(Mn),-0.5); Mn=Mn*scale;
subspace[b] = Mn;
hermop.Op(Mn,tmp);
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
}
}
virtual void CreateSubspaceChebyshevNew(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,
double hi
) {
RealD scale;
FineField noise(FineGrid);
FineField Mn(FineGrid);
FineField tmp(FineGrid);
// New normalised noise
for(int b =0;b<nbasis;b++)
{
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
// Initial matrix element
hermop.Op(noise,Mn);
if(b==0) std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
// Filter
//#opt2(x) = acheb(x,3,90,300)* acheb(x,1,90,50) * acheb(x,0.5,90,200) * acheb(x,0.05,90,400) * acheb(x,0.01,90,1500)
/*266
Chebyshev<FineField> Cheb1(3.0,hi,300);
Chebyshev<FineField> Cheb2(1.0,hi,50);
Chebyshev<FineField> Cheb3(0.5,hi,300);
Chebyshev<FineField> Cheb4(0.05,hi,500);
Chebyshev<FineField> Cheb5(0.01,hi,2000);
*/
/* 242 */
/*
Chebyshev<FineField> Cheb3(0.1,hi,300);
Chebyshev<FineField> Cheb2(0.02,hi,1000);
Chebyshev<FineField> Cheb1(0.003,hi,2000);
8?
*/
/* How many??
*/
Chebyshev<FineField> Cheb2(0.001,hi,2500); // 169 iters on HDCG after refine
Chebyshev<FineField> Cheb1(0.02,hi,600);
// Chebyshev<FineField> Cheb2(0.001,hi,1500);
// Chebyshev<FineField> Cheb1(0.02,hi,600);
Cheb1(hermop,noise,Mn); scale = std::pow(norm2(Mn),-0.5); noise=Mn*scale;
hermop.Op(noise,tmp); std::cout<<GridLogMessage << "Cheb1 <n|MdagM|n> "<<norm2(tmp)<<std::endl;
Cheb2(hermop,noise,Mn); scale = std::pow(norm2(Mn),-0.5); noise=Mn*scale;
hermop.Op(noise,tmp); std::cout<<GridLogMessage << "Cheb2 <n|MdagM|n> "<<norm2(tmp)<<std::endl;
// Cheb3(hermop,noise,Mn); scale = std::pow(norm2(Mn),-0.5); noise=Mn*scale;
// hermop.Op(noise,tmp); std::cout<<GridLogMessage << "Cheb3 <n|MdagM|n> "<<norm2(tmp)<<std::endl;
// Cheb4(hermop,noise,Mn); scale = std::pow(norm2(Mn),-0.5); noise=Mn*scale;
// hermop.Op(noise,tmp); std::cout<<GridLogMessage << "Cheb4 <n|MdagM|n> "<<norm2(tmp)<<std::endl;
// Cheb5(hermop,noise,Mn); scale = std::pow(norm2(Mn),-0.5); noise=Mn*scale;
// hermop.Op(noise,tmp); std::cout<<GridLogMessage << "Cheb5 <n|MdagM|n> "<<norm2(tmp)<<std::endl;
subspace[b] = noise;
hermop.Op(subspace[b],tmp);
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<< " norm " << norm2(noise)<<std::endl;
}
}
virtual void CreateSubspaceMultishift(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,
double Lo,double tol,int maxit)
{
RealD scale;
FineField noise(FineGrid);
FineField Mn(FineGrid);
FineField tmp(FineGrid);
// New normalised noise
std::cout << GridLogMessage<<" Multishift subspace : Lo "<<Lo<<std::endl;
// Filter
// [ 1/6(x+Lo) - 1/2(x+2Lo) + 1/2(x+3Lo) -1/6(x+4Lo) = Lo^3 /[ (x+1Lo)(x+2Lo)(x+3Lo)(x+4Lo) ]
//
// 1/(x+Lo) - 1/(x+2 Lo)
double epsilon = Lo/3;
std::vector<RealD> alpha({1.0/6.0,-1.0/2.0,1.0/2.0,-1.0/6.0});
std::vector<RealD> shifts({Lo,Lo+epsilon,Lo+2*epsilon,Lo+3*epsilon});
std::vector<RealD> tols({tol,tol,tol,tol});
std::cout << "sizes "<<alpha.size()<<" "<<shifts.size()<<" "<<tols.size()<<std::endl;
MultiShiftFunction msf(4,0.0,95.0);
std::cout << "msf constructed "<<std::endl;
msf.poles=shifts;
msf.residues=alpha;
msf.tolerances=tols;
msf.norm=0.0;
msf.order=alpha.size();
ConjugateGradientMultiShift<FineField> MSCG(maxit,msf);
for(int b =0;b<nbasis;b++)
{
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
// Initial matrix element
hermop.Op(noise,Mn);
if(b==0) std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
MSCG(hermop,noise,Mn);
scale = std::pow(norm2(Mn),-0.5); Mn=Mn*scale;
subspace[b] = Mn;
hermop.Op(Mn,tmp);
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
}
}
virtual void RefineSubspace(LinearOperatorBase<FineField> &hermop,
double Lo,double tol,int maxit)
{
FineField tmp(FineGrid);
for(int b =0;b<nbasis;b++)
{
ConjugateGradient<FineField> CGsloppy(tol,maxit,false);
ShiftedHermOpLinearOperator<FineField> ShiftedFineHermOp(hermop,Lo);
tmp=Zero();
CGsloppy(hermop,subspace[b],tmp);
RealD scale = std::pow(norm2(tmp),-0.5); tmp=tmp*scale;
subspace[b]=tmp;
hermop.Op(subspace[b],tmp);
std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
}
}
virtual void RefineSubspaceHDCG(LinearOperatorBase<FineField> &hermop,
TwoLevelADEF2mrhs<FineField,CoarseVector> & theHDCG,
int nrhs)
{
std::vector<FineField> src_mrhs(nrhs,FineGrid);
std::vector<FineField> res_mrhs(nrhs,FineGrid);
FineField tmp(FineGrid);
for(int b =0;b<nbasis;b+=nrhs)
{
tmp = subspace[b];
RealD scale = std::pow(norm2(tmp),-0.5); tmp=tmp*scale;
subspace[b] =tmp;
hermop.Op(subspace[b],tmp);
std::cout<<GridLogMessage << "before filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
for(int r=0;r<MIN(nbasis-b,nrhs);r++){
src_mrhs[r] = subspace[b+r];
}
for(int r=0;r<nrhs;r++){
res_mrhs[r] = Zero();
}
theHDCG(src_mrhs,res_mrhs);
for(int r=0;r<MIN(nbasis-b,nrhs);r++){
tmp = res_mrhs[r];
RealD scale = std::pow(norm2(tmp),-0.5); tmp=tmp*scale;
subspace[b+r]=tmp;
}
hermop.Op(subspace[b],tmp);
std::cout<<GridLogMessage << "after filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
}
}
};
NAMESPACE_END(Grid);

View File

@ -1,837 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/CoarsenedMatrix.h
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
Author: paboyle <paboyle@ph.ed.ac.uk>
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 */
#ifndef GRID_ALGORITHM_COARSENED_MATRIX_H
#define GRID_ALGORITHM_COARSENED_MATRIX_H
#include <Grid/qcd/QCD.h> // needed for Dagger(Yes|No), Inverse(Yes|No)
NAMESPACE_BEGIN(Grid);
template<class vobj,class CComplex>
inline void blockMaskedInnerProduct(Lattice<CComplex> &CoarseInner,
const Lattice<decltype(innerProduct(vobj(),vobj()))> &FineMask,
const Lattice<vobj> &fineX,
const Lattice<vobj> &fineY)
{
typedef decltype(innerProduct(vobj(),vobj())) dotp;
GridBase *coarse(CoarseInner.Grid());
GridBase *fine (fineX.Grid());
Lattice<dotp> fine_inner(fine); fine_inner.Checkerboard() = fineX.Checkerboard();
Lattice<dotp> fine_inner_msk(fine);
// Multiply could be fused with innerProduct
// Single block sum kernel could do both masks.
fine_inner = localInnerProduct(fineX,fineY);
mult(fine_inner_msk, fine_inner,FineMask);
blockSum(CoarseInner,fine_inner_msk);
}
// Fine Object == (per site) type of fine field
// nbasis == number of deflation vectors
template<class Fobj,class CComplex,int nbasis>
class CoarsenedMatrix : public CheckerBoardedSparseMatrixBase<Lattice<iVector<CComplex,nbasis > > > {
public:
typedef iVector<CComplex,nbasis > siteVector;
typedef Lattice<CComplex > CoarseComplexField;
typedef Lattice<siteVector> CoarseVector;
typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
typedef iMatrix<CComplex,nbasis > Cobj;
typedef Lattice< CComplex > CoarseScalar; // used for inner products on fine field
typedef Lattice<Fobj > FineField;
typedef CoarseVector FermionField;
// enrich interface, use default implementation as in FermionOperator ///////
void Dminus(CoarseVector const& in, CoarseVector& out) { out = in; }
void DminusDag(CoarseVector const& in, CoarseVector& out) { out = in; }
void ImportPhysicalFermionSource(CoarseVector const& input, CoarseVector& imported) { imported = input; }
void ImportUnphysicalFermion(CoarseVector const& input, CoarseVector& imported) { imported = input; }
void ExportPhysicalFermionSolution(CoarseVector const& solution, CoarseVector& exported) { exported = solution; };
void ExportPhysicalFermionSource(CoarseVector const& solution, CoarseVector& exported) { exported = solution; };
////////////////////
// Data members
////////////////////
Geometry geom;
GridBase * _grid;
GridBase* _cbgrid;
int hermitian;
CartesianStencil<siteVector,siteVector,DefaultImplParams> Stencil;
CartesianStencil<siteVector,siteVector,DefaultImplParams> StencilEven;
CartesianStencil<siteVector,siteVector,DefaultImplParams> StencilOdd;
std::vector<CoarseMatrix> A;
std::vector<CoarseMatrix> Aeven;
std::vector<CoarseMatrix> Aodd;
CoarseMatrix AselfInv;
CoarseMatrix AselfInvEven;
CoarseMatrix AselfInvOdd;
deviceVector<RealD> dag_factor;
///////////////////////
// Interface
///////////////////////
GridBase * Grid(void) { return _grid; }; // this is all the linalg routines need to know
GridBase * RedBlackGrid() { return _cbgrid; };
int ConstEE() { return 0; }
void M (const CoarseVector &in, CoarseVector &out)
{
conformable(_grid,in.Grid());
conformable(in.Grid(),out.Grid());
out.Checkerboard() = in.Checkerboard();
SimpleCompressor<siteVector> compressor;
Stencil.HaloExchange(in,compressor);
autoView( in_v , in, AcceleratorRead);
autoView( out_v , out, AcceleratorWrite);
autoView( Stencil_v , Stencil, AcceleratorRead);
int npoint = geom.npoint;
typedef LatticeView<Cobj> Aview;
deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
hostVector<Aview> hAcceleratorViewContainer(geom.npoint);
for(int p=0;p<geom.npoint;p++) {
hAcceleratorViewContainer[p] = A[p].View(AcceleratorRead);
acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
}
Aview *Aview_p = & AcceleratorViewContainer[0];
const int Nsimd = CComplex::Nsimd();
typedef decltype(coalescedRead(in_v[0])) calcVector;
typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
int osites=Grid()->oSites();
accelerator_for(sss, Grid()->oSites()*nbasis, Nsimd, {
int ss = sss/nbasis;
int b = sss%nbasis;
calcComplex res = Zero();
calcVector nbr;
int ptype;
StencilEntry *SE;
for(int point=0;point<npoint;point++){
SE=Stencil_v.GetEntry(ptype,point,ss);
if(SE->_is_local) {
nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
} else {
nbr = coalescedRead(Stencil_v.CommBuf()[SE->_offset]);
}
acceleratorSynchronise();
for(int bb=0;bb<nbasis;bb++) {
res = res + coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
}
}
coalescedWrite(out_v[ss](b),res);
});
for(int p=0;p<geom.npoint;p++) hAcceleratorViewContainer[p].ViewClose();
};
void Mdag (const CoarseVector &in, CoarseVector &out)
{
if(hermitian) {
// corresponds to Petrov-Galerkin coarsening
return M(in,out);
} else {
// corresponds to Galerkin coarsening
return MdagNonHermitian(in, out);
}
};
void MdagNonHermitian(const CoarseVector &in, CoarseVector &out)
{
conformable(_grid,in.Grid());
conformable(in.Grid(),out.Grid());
out.Checkerboard() = in.Checkerboard();
SimpleCompressor<siteVector> compressor;
Stencil.HaloExchange(in,compressor);
autoView( in_v , in, AcceleratorRead);
autoView( out_v , out, AcceleratorWrite);
autoView( Stencil_v , Stencil, AcceleratorRead);
int npoint = geom.npoint;
typedef LatticeView<Cobj> Aview;
deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
hostVector<Aview> hAcceleratorViewContainer(geom.npoint);
for(int p=0;p<geom.npoint;p++) {
hAcceleratorViewContainer[p] = A[p].View(AcceleratorRead);
acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
}
Aview *Aview_p = & AcceleratorViewContainer[0];
const int Nsimd = CComplex::Nsimd();
typedef decltype(coalescedRead(in_v[0])) calcVector;
typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
int osites=Grid()->oSites();
deviceVector<int> points(geom.npoint);
for(int p=0; p<geom.npoint; p++) {
acceleratorPut(points[p],geom.points_dagger[p]);
}
auto points_p = &points[0];
RealD* dag_factor_p = &dag_factor[0];
accelerator_for(sss, Grid()->oSites()*nbasis, Nsimd, {
int ss = sss/nbasis;
int b = sss%nbasis;
calcComplex res = Zero();
calcVector nbr;
int ptype;
StencilEntry *SE;
for(int p=0;p<npoint;p++){
int point = points_p[p];
SE=Stencil_v.GetEntry(ptype,point,ss);
if(SE->_is_local) {
nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
} else {
nbr = coalescedRead(Stencil_v.CommBuf()[SE->_offset]);
}
acceleratorSynchronise();
for(int bb=0;bb<nbasis;bb++) {
res = res + dag_factor_p[b*nbasis+bb]*coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
}
}
coalescedWrite(out_v[ss](b),res);
});
for(int p=0;p<geom.npoint;p++) hAcceleratorViewContainer[p].ViewClose();
}
void MdirComms(const CoarseVector &in)
{
SimpleCompressor<siteVector> compressor;
Stencil.HaloExchange(in,compressor);
}
void MdirCalc(const CoarseVector &in, CoarseVector &out, int point)
{
conformable(_grid,in.Grid());
conformable(_grid,out.Grid());
out.Checkerboard() = in.Checkerboard();
typedef LatticeView<Cobj> Aview;
deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
hostVector<Aview> hAcceleratorViewContainer(geom.npoint);
for(int p=0;p<geom.npoint;p++) {
hAcceleratorViewContainer[p] = A[p].View(AcceleratorRead);
acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
}
Aview *Aview_p = & AcceleratorViewContainer[0];
autoView( out_v , out, AcceleratorWrite);
autoView( in_v , in, AcceleratorRead);
autoView( Stencil_v , Stencil, AcceleratorRead);
const int Nsimd = CComplex::Nsimd();
typedef decltype(coalescedRead(in_v[0])) calcVector;
typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
accelerator_for(sss, Grid()->oSites()*nbasis, Nsimd, {
int ss = sss/nbasis;
int b = sss%nbasis;
calcComplex res = Zero();
calcVector nbr;
int ptype;
StencilEntry *SE;
SE=Stencil_v.GetEntry(ptype,point,ss);
if(SE->_is_local) {
nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
} else {
nbr = coalescedRead(Stencil_v.CommBuf()[SE->_offset]);
}
acceleratorSynchronise();
for(int bb=0;bb<nbasis;bb++) {
res = res + coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
}
coalescedWrite(out_v[ss](b),res);
});
for(int p=0;p<geom.npoint;p++) hAcceleratorViewContainer[p].ViewClose();
}
void MdirAll(const CoarseVector &in,std::vector<CoarseVector> &out)
{
this->MdirComms(in);
int ndir=geom.npoint-1;
if ((out.size()!=ndir)&&(out.size()!=ndir+1)) {
std::cout <<"MdirAll out size "<< out.size()<<std::endl;
std::cout <<"MdirAll ndir "<< ndir<<std::endl;
assert(0);
}
for(int p=0;p<ndir;p++){
MdirCalc(in,out[p],p);
}
};
void Mdir(const CoarseVector &in, CoarseVector &out, int dir, int disp){
this->MdirComms(in);
MdirCalc(in,out,geom.point(dir,disp));
};
void Mdiag(const CoarseVector &in, CoarseVector &out)
{
int point=geom.npoint-1;
MdirCalc(in, out, point); // No comms
};
void Mooee(const CoarseVector &in, CoarseVector &out) {
MooeeInternal(in, out, DaggerNo, InverseNo);
}
void MooeeInv(const CoarseVector &in, CoarseVector &out) {
MooeeInternal(in, out, DaggerNo, InverseYes);
}
void MooeeDag(const CoarseVector &in, CoarseVector &out) {
MooeeInternal(in, out, DaggerYes, InverseNo);
}
void MooeeInvDag(const CoarseVector &in, CoarseVector &out) {
MooeeInternal(in, out, DaggerYes, InverseYes);
}
void Meooe(const CoarseVector &in, CoarseVector &out) {
if(in.Checkerboard() == Odd) {
DhopEO(in, out, DaggerNo);
} else {
DhopOE(in, out, DaggerNo);
}
}
void MeooeDag(const CoarseVector &in, CoarseVector &out) {
if(in.Checkerboard() == Odd) {
DhopEO(in, out, DaggerYes);
} else {
DhopOE(in, out, DaggerYes);
}
}
void Dhop(const CoarseVector &in, CoarseVector &out, int dag) {
conformable(in.Grid(), _grid); // verifies full grid
conformable(in.Grid(), out.Grid());
out.Checkerboard() = in.Checkerboard();
DhopInternal(Stencil, A, in, out, dag);
}
void DhopOE(const CoarseVector &in, CoarseVector &out, int dag) {
conformable(in.Grid(), _cbgrid); // verifies half grid
conformable(in.Grid(), out.Grid()); // drops the cb check
assert(in.Checkerboard() == Even);
out.Checkerboard() = Odd;
DhopInternal(StencilEven, Aodd, in, out, dag);
}
void DhopEO(const CoarseVector &in, CoarseVector &out, int dag) {
conformable(in.Grid(), _cbgrid); // verifies half grid
conformable(in.Grid(), out.Grid()); // drops the cb check
assert(in.Checkerboard() == Odd);
out.Checkerboard() = Even;
DhopInternal(StencilOdd, Aeven, in, out, dag);
}
void MooeeInternal(const CoarseVector &in, CoarseVector &out, int dag, int inv) {
out.Checkerboard() = in.Checkerboard();
assert(in.Checkerboard() == Odd || in.Checkerboard() == Even);
CoarseMatrix *Aself = nullptr;
if(in.Grid()->_isCheckerBoarded) {
if(in.Checkerboard() == Odd) {
Aself = (inv) ? &AselfInvOdd : &Aodd[geom.npoint-1];
DselfInternal(StencilOdd, *Aself, in, out, dag);
} else {
Aself = (inv) ? &AselfInvEven : &Aeven[geom.npoint-1];
DselfInternal(StencilEven, *Aself, in, out, dag);
}
} else {
Aself = (inv) ? &AselfInv : &A[geom.npoint-1];
DselfInternal(Stencil, *Aself, in, out, dag);
}
assert(Aself != nullptr);
}
void DselfInternal(CartesianStencil<siteVector,siteVector,DefaultImplParams> &st, CoarseMatrix &a,
const CoarseVector &in, CoarseVector &out, int dag) {
int point = geom.npoint-1;
autoView( out_v, out, AcceleratorWrite);
autoView( in_v, in, AcceleratorRead);
autoView( st_v, st, AcceleratorRead);
autoView( a_v, a, AcceleratorRead);
const int Nsimd = CComplex::Nsimd();
typedef decltype(coalescedRead(in_v[0])) calcVector;
typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
RealD* dag_factor_p = &dag_factor[0];
if(dag) {
accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
int ss = sss/nbasis;
int b = sss%nbasis;
calcComplex res = Zero();
calcVector nbr;
int ptype;
StencilEntry *SE;
SE=st_v.GetEntry(ptype,point,ss);
if(SE->_is_local) {
nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
} else {
nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
}
acceleratorSynchronise();
for(int bb=0;bb<nbasis;bb++) {
res = res + dag_factor_p[b*nbasis+bb]*coalescedRead(a_v[ss](b,bb))*nbr(bb);
}
coalescedWrite(out_v[ss](b),res);
});
} else {
accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
int ss = sss/nbasis;
int b = sss%nbasis;
calcComplex res = Zero();
calcVector nbr;
int ptype;
StencilEntry *SE;
SE=st_v.GetEntry(ptype,point,ss);
if(SE->_is_local) {
nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
} else {
nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
}
acceleratorSynchronise();
for(int bb=0;bb<nbasis;bb++) {
res = res + coalescedRead(a_v[ss](b,bb))*nbr(bb);
}
coalescedWrite(out_v[ss](b),res);
});
}
}
void DhopInternal(CartesianStencil<siteVector,siteVector,DefaultImplParams> &st, std::vector<CoarseMatrix> &a,
const CoarseVector &in, CoarseVector &out, int dag) {
SimpleCompressor<siteVector> compressor;
st.HaloExchange(in,compressor);
autoView( in_v, in, AcceleratorRead);
autoView( out_v, out, AcceleratorWrite);
autoView( st_v , st, AcceleratorRead);
typedef LatticeView<Cobj> Aview;
// determine in what order we need the points
int npoint = geom.npoint-1;
deviceVector<int> points(npoint);
for(int p=0; p<npoint; p++) {
int val = (dag && !hermitian) ? geom.points_dagger[p] : p;
acceleratorPut(points[p], val);
}
auto points_p = &points[0];
deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
hostVector<Aview> hAcceleratorViewContainer(geom.npoint);
for(int p=0;p<geom.npoint;p++) {
hAcceleratorViewContainer[p] = a[p].View(AcceleratorRead);
acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
}
Aview *Aview_p = & AcceleratorViewContainer[0];
const int Nsimd = CComplex::Nsimd();
typedef decltype(coalescedRead(in_v[0])) calcVector;
typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
RealD* dag_factor_p = &dag_factor[0];
if(dag) {
accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
int ss = sss/nbasis;
int b = sss%nbasis;
calcComplex res = Zero();
calcVector nbr;
int ptype;
StencilEntry *SE;
for(int p=0;p<npoint;p++){
int point = points_p[p];
SE=st_v.GetEntry(ptype,point,ss);
if(SE->_is_local) {
nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
} else {
nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
}
acceleratorSynchronise();
for(int bb=0;bb<nbasis;bb++) {
res = res + dag_factor_p[b*nbasis+bb]*coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
}
}
coalescedWrite(out_v[ss](b),res);
});
} else {
accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
int ss = sss/nbasis;
int b = sss%nbasis;
calcComplex res = Zero();
calcVector nbr;
int ptype;
StencilEntry *SE;
for(int p=0;p<npoint;p++){
int point = points_p[p];
SE=st_v.GetEntry(ptype,point,ss);
if(SE->_is_local) {
nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
} else {
nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
}
acceleratorSynchronise();
for(int bb=0;bb<nbasis;bb++) {
res = res + coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
}
}
coalescedWrite(out_v[ss](b),res);
});
}
for(int p=0;p<npoint;p++) hAcceleratorViewContainer[p].ViewClose();
}
CoarsenedMatrix(GridCartesian &CoarseGrid, int hermitian_=0) :
_grid(&CoarseGrid),
_cbgrid(new GridRedBlackCartesian(&CoarseGrid)),
geom(CoarseGrid._ndimension),
hermitian(hermitian_),
Stencil(&CoarseGrid,geom.npoint,Even,geom.directions,geom.displacements),
StencilEven(_cbgrid,geom.npoint,Even,geom.directions,geom.displacements),
StencilOdd(_cbgrid,geom.npoint,Odd,geom.directions,geom.displacements),
A(geom.npoint,&CoarseGrid),
Aeven(geom.npoint,_cbgrid),
Aodd(geom.npoint,_cbgrid),
AselfInv(&CoarseGrid),
AselfInvEven(_cbgrid),
AselfInvOdd(_cbgrid),
dag_factor(nbasis*nbasis)
{
fillFactor();
};
CoarsenedMatrix(GridCartesian &CoarseGrid, GridRedBlackCartesian &CoarseRBGrid, int hermitian_=0) :
_grid(&CoarseGrid),
_cbgrid(&CoarseRBGrid),
geom(CoarseGrid._ndimension),
hermitian(hermitian_),
Stencil(&CoarseGrid,geom.npoint,Even,geom.directions,geom.displacements),
StencilEven(&CoarseRBGrid,geom.npoint,Even,geom.directions,geom.displacements),
StencilOdd(&CoarseRBGrid,geom.npoint,Odd,geom.directions,geom.displacements),
A(geom.npoint,&CoarseGrid),
Aeven(geom.npoint,&CoarseRBGrid),
Aodd(geom.npoint,&CoarseRBGrid),
AselfInv(&CoarseGrid),
AselfInvEven(&CoarseRBGrid),
AselfInvOdd(&CoarseRBGrid),
dag_factor(nbasis*nbasis)
{
fillFactor();
};
void fillFactor() {
Eigen::MatrixXd dag_factor_eigen = Eigen::MatrixXd::Ones(nbasis, nbasis);
if(!hermitian) {
const int nb = nbasis/2;
dag_factor_eigen.block(0,nb,nb,nb) *= -1.0;
dag_factor_eigen.block(nb,0,nb,nb) *= -1.0;
}
// GPU readable prefactor
std::vector<RealD> h_dag_factor(nbasis*nbasis);
thread_for(i, nbasis*nbasis, {
int j = i/nbasis;
int k = i%nbasis;
h_dag_factor[i] = dag_factor_eigen(j, k);
});
acceleratorCopyToDevice(&h_dag_factor[0],&dag_factor[0],dag_factor.size()*sizeof(RealD));
}
void CoarsenOperator(GridBase *FineGrid,LinearOperatorBase<Lattice<Fobj> > &linop,
Aggregation<Fobj,CComplex,nbasis> & Subspace)
{
typedef Lattice<typename Fobj::tensor_reduced> FineComplexField;
typedef typename Fobj::scalar_type scalar_type;
std::cout << GridLogMessage<< "CoarsenMatrix "<< std::endl;
FineComplexField one(FineGrid); one=scalar_type(1.0,0.0);
FineComplexField zero(FineGrid); zero=scalar_type(0.0,0.0);
std::vector<FineComplexField> masks(geom.npoint,FineGrid);
FineComplexField imask(FineGrid); // contributions from within this block
FineComplexField omask(FineGrid); // contributions from outwith this block
FineComplexField evenmask(FineGrid);
FineComplexField oddmask(FineGrid);
FineField phi(FineGrid);
FineField tmp(FineGrid);
FineField zz(FineGrid); zz=Zero();
FineField Mphi(FineGrid);
FineField Mphie(FineGrid);
FineField Mphio(FineGrid);
std::vector<FineField> Mphi_p(geom.npoint,FineGrid);
Lattice<iScalar<vInteger> > coor (FineGrid);
Lattice<iScalar<vInteger> > bcoor(FineGrid);
Lattice<iScalar<vInteger> > bcb (FineGrid); bcb = Zero();
CoarseVector iProj(Grid());
CoarseVector oProj(Grid());
CoarseVector SelfProj(Grid());
CoarseComplexField iZProj(Grid());
CoarseComplexField oZProj(Grid());
CoarseScalar InnerProd(Grid());
std::cout << GridLogMessage<< "CoarsenMatrix Orthog "<< std::endl;
// Orthogonalise the subblocks over the basis
blockOrthogonalise(InnerProd,Subspace.subspace);
// Compute the matrix elements of linop between this orthonormal
// set of vectors.
std::cout << GridLogMessage<< "CoarsenMatrix masks "<< std::endl;
int self_stencil=-1;
for(int p=0;p<geom.npoint;p++)
{
int dir = geom.directions[p];
int disp = geom.displacements[p];
A[p]=Zero();
if( geom.displacements[p]==0){
self_stencil=p;
}
Integer block=(FineGrid->_rdimensions[dir])/(Grid()->_rdimensions[dir]);
LatticeCoordinate(coor,dir);
///////////////////////////////////////////////////////
// Work out even and odd block checkerboarding for fast diagonal term
///////////////////////////////////////////////////////
if ( disp==1 ) {
bcb = bcb + div(coor,block);
}
if ( disp==0 ) {
masks[p]= Zero();
} else if ( disp==1 ) {
masks[p] = where(mod(coor,block)==(block-1),one,zero);
} else if ( disp==-1 ) {
masks[p] = where(mod(coor,block)==(Integer)0,one,zero);
}
}
evenmask = where(mod(bcb,2)==(Integer)0,one,zero);
oddmask = one-evenmask;
assert(self_stencil!=-1);
for(int i=0;i<nbasis;i++){
phi=Subspace.subspace[i];
std::cout << GridLogMessage<< "CoarsenMatrix vector "<<i << std::endl;
linop.OpDirAll(phi,Mphi_p);
linop.OpDiag (phi,Mphi_p[geom.npoint-1]);
for(int p=0;p<geom.npoint;p++){
Mphi = Mphi_p[p];
int dir = geom.directions[p];
int disp = geom.displacements[p];
if ( (disp==-1) || (!hermitian ) ) {
////////////////////////////////////////////////////////////////////////
// Pick out contributions coming from this cell and neighbour cell
////////////////////////////////////////////////////////////////////////
omask = masks[p];
imask = one-omask;
for(int j=0;j<nbasis;j++){
blockMaskedInnerProduct(oZProj,omask,Subspace.subspace[j],Mphi);
autoView( iZProj_v , iZProj, AcceleratorRead) ;
autoView( oZProj_v , oZProj, AcceleratorRead) ;
autoView( A_p , A[p], AcceleratorWrite);
autoView( A_self , A[self_stencil], AcceleratorWrite);
accelerator_for(ss, Grid()->oSites(), Fobj::Nsimd(),{ coalescedWrite(A_p[ss](j,i),oZProj_v(ss)); });
if ( hermitian && (disp==-1) ) {
for(int pp=0;pp<geom.npoint;pp++){// Find the opposite link and set <j|A|i> = <i|A|j>*
int dirp = geom.directions[pp];
int dispp = geom.displacements[pp];
if ( (dirp==dir) && (dispp==1) ){
auto sft = conjugate(Cshift(oZProj,dir,1));
autoView( sft_v , sft , AcceleratorWrite);
autoView( A_pp , A[pp], AcceleratorWrite);
accelerator_for(ss, Grid()->oSites(), Fobj::Nsimd(),{ coalescedWrite(A_pp[ss](i,j),sft_v(ss)); });
}
}
}
}
}
}
///////////////////////////////////////////
// Faster alternate self coupling.. use hermiticity to save 2x
///////////////////////////////////////////
{
mult(tmp,phi,evenmask); linop.Op(tmp,Mphie);
mult(tmp,phi,oddmask ); linop.Op(tmp,Mphio);
{
autoView( tmp_ , tmp, AcceleratorWrite);
autoView( evenmask_ , evenmask, AcceleratorRead);
autoView( oddmask_ , oddmask, AcceleratorRead);
autoView( Mphie_ , Mphie, AcceleratorRead);
autoView( Mphio_ , Mphio, AcceleratorRead);
accelerator_for(ss, FineGrid->oSites(), Fobj::Nsimd(),{
coalescedWrite(tmp_[ss],evenmask_(ss)*Mphie_(ss) + oddmask_(ss)*Mphio_(ss));
});
}
blockProject(SelfProj,tmp,Subspace.subspace);
autoView( SelfProj_ , SelfProj, AcceleratorRead);
autoView( A_self , A[self_stencil], AcceleratorWrite);
accelerator_for(ss, Grid()->oSites(), Fobj::Nsimd(),{
for(int j=0;j<nbasis;j++){
coalescedWrite(A_self[ss](j,i), SelfProj_(ss)(j));
}
});
}
}
if(hermitian) {
std::cout << GridLogMessage << " ForceHermitian, new code "<<std::endl;
}
InvertSelfStencilLink(); std::cout << GridLogMessage << "Coarse self link inverted" << std::endl;
FillHalfCbs(); std::cout << GridLogMessage << "Coarse half checkerboards filled" << std::endl;
}
void InvertSelfStencilLink() {
std::cout << GridLogDebug << "CoarsenedMatrix::InvertSelfStencilLink" << std::endl;
int localVolume = Grid()->lSites();
typedef typename Cobj::scalar_object scalar_object;
autoView(Aself_v, A[geom.npoint-1], CpuRead);
autoView(AselfInv_v, AselfInv, CpuWrite);
thread_for(site, localVolume, { // NOTE: Not able to bring this to GPU because of Eigen + peek/poke
Eigen::MatrixXcd selfLinkEigen = Eigen::MatrixXcd::Zero(nbasis, nbasis);
Eigen::MatrixXcd selfLinkInvEigen = Eigen::MatrixXcd::Zero(nbasis, nbasis);
scalar_object selfLink = Zero();
scalar_object selfLinkInv = Zero();
Coordinate lcoor;
Grid()->LocalIndexToLocalCoor(site, lcoor);
peekLocalSite(selfLink, Aself_v, lcoor);
for (int i = 0; i < nbasis; ++i)
for (int j = 0; j < nbasis; ++j)
selfLinkEigen(i, j) = static_cast<ComplexD>(TensorRemove(selfLink(i, j)));
selfLinkInvEigen = selfLinkEigen.inverse();
for(int i = 0; i < nbasis; ++i)
for(int j = 0; j < nbasis; ++j)
selfLinkInv(i, j) = selfLinkInvEigen(i, j);
pokeLocalSite(selfLinkInv, AselfInv_v, lcoor);
});
}
void FillHalfCbs() {
std::cout << GridLogDebug << "CoarsenedMatrix::FillHalfCbs" << std::endl;
for(int p = 0; p < geom.npoint; ++p) {
pickCheckerboard(Even, Aeven[p], A[p]);
pickCheckerboard(Odd, Aodd[p], A[p]);
}
pickCheckerboard(Even, AselfInvEven, AselfInv);
pickCheckerboard(Odd, AselfInvOdd, AselfInv);
}
};
NAMESPACE_END(Grid);
#endif

View File

@ -1,629 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/GeneralCoarsenedMatrix.h
Copyright (C) 2015
Author: Peter Boyle <pboyle@bnl.gov>
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
#include <Grid/qcd/QCD.h> // needed for Dagger(Yes|No), Inverse(Yes|No)
#include <Grid/lattice/PaddedCell.h>
#include <Grid/stencil/GeneralLocalStencil.h>
NAMESPACE_BEGIN(Grid);
// Fine Object == (per site) type of fine field
// nbasis == number of deflation vectors
template<class Fobj,class CComplex,int nbasis>
class GeneralCoarsenedMatrix : public SparseMatrixBase<Lattice<iVector<CComplex,nbasis > > > {
public:
typedef GeneralCoarsenedMatrix<Fobj,CComplex,nbasis> GeneralCoarseOp;
typedef iVector<CComplex,nbasis > siteVector;
typedef iMatrix<CComplex,nbasis > siteMatrix;
typedef Lattice<iScalar<CComplex> > CoarseComplexField;
typedef Lattice<siteVector> CoarseVector;
typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
typedef iMatrix<CComplex,nbasis > Cobj;
typedef iVector<CComplex,nbasis > Cvec;
typedef Lattice< CComplex > CoarseScalar; // used for inner products on fine field
typedef Lattice<Fobj > FineField;
typedef Lattice<CComplex > FineComplexField;
typedef CoarseVector Field;
////////////////////
// Data members
////////////////////
int hermitian;
GridBase * _FineGrid;
GridCartesian * _CoarseGrid;
NonLocalStencilGeometry &geom;
PaddedCell Cell;
GeneralLocalStencil Stencil;
std::vector<CoarseMatrix> _A;
std::vector<CoarseMatrix> _Adag;
std::vector<CoarseVector> MultTemporaries;
///////////////////////
// Interface
///////////////////////
GridBase * Grid(void) { return _CoarseGrid; }; // this is all the linalg routines need to know
GridBase * FineGrid(void) { return _FineGrid; }; // this is all the linalg routines need to know
GridCartesian * CoarseGrid(void) { return _CoarseGrid; }; // this is all the linalg routines need to know
/* void ShiftMatrix(RealD shift)
{
int Nd=_FineGrid->Nd();
Coordinate zero_shift(Nd,0);
for(int p=0;p<geom.npoint;p++){
if ( zero_shift==geom.shifts[p] ) {
_A[p] = _A[p]+shift;
// _Adag[p] = _Adag[p]+shift;
}
}
}
void ProjectNearestNeighbour(RealD shift, GeneralCoarseOp &CopyMe)
{
int nfound=0;
std::cout << GridLogMessage <<"GeneralCoarsenedMatrix::ProjectNearestNeighbour "<< CopyMe._A[0].Grid()<<std::endl;
for(int p=0;p<geom.npoint;p++){
for(int pp=0;pp<CopyMe.geom.npoint;pp++){
// Search for the same relative shift
// Avoids brutal handling of Grid pointers
if ( CopyMe.geom.shifts[pp]==geom.shifts[p] ) {
_A[p] = CopyMe.Cell.Extract(CopyMe._A[pp]);
// _Adag[p] = CopyMe.Cell.Extract(CopyMe._Adag[pp]);
nfound++;
}
}
}
assert(nfound==geom.npoint);
ExchangeCoarseLinks();
}
*/
GeneralCoarsenedMatrix(NonLocalStencilGeometry &_geom,GridBase *FineGrid, GridCartesian * CoarseGrid)
: geom(_geom),
_FineGrid(FineGrid),
_CoarseGrid(CoarseGrid),
hermitian(1),
Cell(_geom.Depth(),_CoarseGrid),
Stencil(Cell.grids.back(),geom.shifts)
{
{
int npoint = _geom.npoint;
}
_A.resize(geom.npoint,CoarseGrid);
// _Adag.resize(geom.npoint,CoarseGrid);
}
void M (const CoarseVector &in, CoarseVector &out)
{
Mult(_A,in,out);
}
void Mdag (const CoarseVector &in, CoarseVector &out)
{
assert(hermitian);
Mult(_A,in,out);
// if ( hermitian ) M(in,out);
// else Mult(_Adag,in,out);
}
void Mult (std::vector<CoarseMatrix> &A,const CoarseVector &in, CoarseVector &out)
{
RealD tviews=0; RealD ttot=0; RealD tmult=0; RealD texch=0; RealD text=0; RealD ttemps=0; RealD tcopy=0;
RealD tmult2=0;
ttot=-usecond();
conformable(CoarseGrid(),in.Grid());
conformable(in.Grid(),out.Grid());
out.Checkerboard() = in.Checkerboard();
CoarseVector tin=in;
texch-=usecond();
CoarseVector pin = Cell.ExchangePeriodic(tin);
texch+=usecond();
CoarseVector pout(pin.Grid());
int npoint = geom.npoint;
typedef LatticeView<Cobj> Aview;
typedef LatticeView<Cvec> Vview;
const int Nsimd = CComplex::Nsimd();
int64_t osites=pin.Grid()->oSites();
RealD flops = 1.0* npoint * nbasis * nbasis * 8.0 * osites * CComplex::Nsimd();
RealD bytes = 1.0*osites*sizeof(siteMatrix)*npoint
+ 2.0*osites*sizeof(siteVector)*npoint;
{
tviews-=usecond();
autoView( in_v , pin, AcceleratorRead);
autoView( out_v , pout, AcceleratorWriteDiscard);
autoView( Stencil_v , Stencil, AcceleratorRead);
tviews+=usecond();
// Static and prereserve to keep UVM region live and not resized across multiple calls
ttemps-=usecond();
MultTemporaries.resize(npoint,pin.Grid());
ttemps+=usecond();
std::vector<Aview> AcceleratorViewContainer_h;
std::vector<Vview> AcceleratorVecViewContainer_h;
tviews-=usecond();
for(int p=0;p<npoint;p++) {
AcceleratorViewContainer_h.push_back( A[p].View(AcceleratorRead));
AcceleratorVecViewContainer_h.push_back(MultTemporaries[p].View(AcceleratorWrite));
}
tviews+=usecond();
static deviceVector<Aview> AcceleratorViewContainer; AcceleratorViewContainer.resize(npoint);
static deviceVector<Vview> AcceleratorVecViewContainer; AcceleratorVecViewContainer.resize(npoint);
auto Aview_p = &AcceleratorViewContainer[0];
auto Vview_p = &AcceleratorVecViewContainer[0];
tcopy-=usecond();
acceleratorCopyToDevice(&AcceleratorViewContainer_h[0],&AcceleratorViewContainer[0],npoint *sizeof(Aview));
acceleratorCopyToDevice(&AcceleratorVecViewContainer_h[0],&AcceleratorVecViewContainer[0],npoint *sizeof(Vview));
tcopy+=usecond();
tmult-=usecond();
accelerator_for(spb, osites*nbasis*npoint, Nsimd, {
typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
int32_t ss = spb/(nbasis*npoint);
int32_t bp = spb%(nbasis*npoint);
int32_t point= bp/nbasis;
int32_t b = bp%nbasis;
auto SE = Stencil_v.GetEntry(point,ss);
auto nbr = coalescedReadGeneralPermute(in_v[SE->_offset],SE->_permute,Nd);
auto res = coalescedRead(Aview_p[point][ss](0,b))*nbr(0);
for(int bb=1;bb<nbasis;bb++) {
res = res + coalescedRead(Aview_p[point][ss](bb,b))*nbr(bb);
}
coalescedWrite(Vview_p[point][ss](b),res);
});
tmult2-=usecond();
accelerator_for(sb, osites*nbasis, Nsimd, {
int ss = sb/nbasis;
int b = sb%nbasis;
auto res = coalescedRead(Vview_p[0][ss](b));
for(int point=1;point<npoint;point++){
res = res + coalescedRead(Vview_p[point][ss](b));
}
coalescedWrite(out_v[ss](b),res);
});
tmult2+=usecond();
tmult+=usecond();
for(int p=0;p<npoint;p++) {
AcceleratorViewContainer_h[p].ViewClose();
AcceleratorVecViewContainer_h[p].ViewClose();
}
}
text-=usecond();
out = Cell.Extract(pout);
text+=usecond();
ttot+=usecond();
std::cout << GridLogPerformance<<"Coarse 1rhs Mult Aviews "<<tviews<<" us"<<std::endl;
std::cout << GridLogPerformance<<"Coarse Mult exch "<<texch<<" us"<<std::endl;
std::cout << GridLogPerformance<<"Coarse Mult mult "<<tmult<<" us"<<std::endl;
std::cout << GridLogPerformance<<" of which mult2 "<<tmult2<<" us"<<std::endl;
std::cout << GridLogPerformance<<"Coarse Mult ext "<<text<<" us"<<std::endl;
std::cout << GridLogPerformance<<"Coarse Mult temps "<<ttemps<<" us"<<std::endl;
std::cout << GridLogPerformance<<"Coarse Mult copy "<<tcopy<<" us"<<std::endl;
std::cout << GridLogPerformance<<"Coarse Mult tot "<<ttot<<" us"<<std::endl;
// std::cout << GridLogPerformance<<std::endl;
std::cout << GridLogPerformance<<"Coarse Kernel flops "<< flops<<std::endl;
std::cout << GridLogPerformance<<"Coarse Kernel flop/s "<< flops/tmult<<" mflop/s"<<std::endl;
std::cout << GridLogPerformance<<"Coarse Kernel bytes/s "<< bytes/tmult<<" MB/s"<<std::endl;
std::cout << GridLogPerformance<<"Coarse overall flops/s "<< flops/ttot<<" mflop/s"<<std::endl;
std::cout << GridLogPerformance<<"Coarse total bytes "<< bytes/1e6<<" MB"<<std::endl;
};
void PopulateAdag(void)
{
for(int64_t bidx=0;bidx<CoarseGrid()->gSites() ;bidx++){
Coordinate bcoor;
CoarseGrid()->GlobalIndexToGlobalCoor(bidx,bcoor);
for(int p=0;p<geom.npoint;p++){
Coordinate scoor = bcoor;
for(int mu=0;mu<bcoor.size();mu++){
int L = CoarseGrid()->GlobalDimensions()[mu];
scoor[mu] = (bcoor[mu] - geom.shifts[p][mu] + L) % L; // Modulo arithmetic
}
// Flip to poke/peekLocalSite and not too bad
auto link = peekSite(_A[p],scoor);
int pp = geom.Reverse(p);
pokeSite(adj(link),_Adag[pp],bcoor);
}
}
}
/////////////////////////////////////////////////////////////
//
// A) Only reduced flops option is to use a padded cell of depth 4
// and apply MpcDagMpc in the padded cell.
//
// Makes for ONE application of MpcDagMpc per vector instead of 30 or 80.
// With the effective cell size around (B+8)^4 perhaps 12^4/4^4 ratio
// Cost is 81x more, same as stencil size.
//
// But: can eliminate comms and do as local dirichlet.
//
// Local exchange gauge field once.
// Apply to all vectors, local only computation.
// Must exchange ghost subcells in reverse process of PaddedCell to take inner products
//
// B) Can reduce cost: pad by 1, apply Deo (4^4+6^4+8^4+8^4 )/ (4x 4^4)
// pad by 2, apply Doe
// pad by 3, apply Deo
// then break out 8x directions; cost is ~10x MpcDagMpc per vector
//
// => almost factor of 10 in setup cost, excluding data rearrangement
//
// Intermediates -- ignore the corner terms, leave approximate and force Hermitian
// Intermediates -- pad by 2 and apply 1+8+24 = 33 times.
/////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////
// BFM HDCG style approach: Solve a system of equations to get Aij
//////////////////////////////////////////////////////////
/*
* Here, k,l index which possible shift within the 3^Nd "ball" connected by MdagM.
*
* conj(phases[block]) proj[k][ block*Nvec+j ] = \sum_ball e^{i q_k . delta} < phi_{block,j} | MdagM | phi_{(block+delta),i} >
* = \sum_ball e^{iqk.delta} A_ji
*
* Must invert matrix M_k,l = e^[i q_k . delta_l]
*
* Where q_k = delta_k . (2*M_PI/global_nb[mu])
*/
#if 0
void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
Aggregation<Fobj,CComplex,nbasis> & Subspace)
{
std::cout << GridLogMessage<< "GeneralCoarsenMatrix "<< std::endl;
GridBase *grid = FineGrid();
RealD tproj=0.0;
RealD teigen=0.0;
RealD tmat=0.0;
RealD tphase=0.0;
RealD tinv=0.0;
/////////////////////////////////////////////////////////////
// Orthogonalise the subblocks over the basis
/////////////////////////////////////////////////////////////
CoarseScalar InnerProd(CoarseGrid());
blockOrthogonalise(InnerProd,Subspace.subspace);
const int npoint = geom.npoint;
Coordinate clatt = CoarseGrid()->GlobalDimensions();
int Nd = CoarseGrid()->Nd();
/*
* Here, k,l index which possible momentum/shift within the N-points connected by MdagM.
* Matrix index i is mapped to this shift via
* geom.shifts[i]
*
* conj(pha[block]) proj[k (which mom)][j (basis vec cpt)][block]
* = \sum_{l in ball} e^{i q_k . delta_l} < phi_{block,j} | MdagM | phi_{(block+delta_l),i} >
* = \sum_{l in ball} e^{iqk.delta_l} A_ji^{b.b+l}
* = M_{kl} A_ji^{b.b+l}
*
* Must assemble and invert matrix M_k,l = e^[i q_k . delta_l]
*
* Where q_k = delta_k . (2*M_PI/global_nb[mu])
*
* Then A{ji}^{b,b+l} = M^{-1}_{lm} ComputeProj_{m,b,i,j}
*/
teigen-=usecond();
Eigen::MatrixXcd Mkl = Eigen::MatrixXcd::Zero(npoint,npoint);
Eigen::MatrixXcd invMkl = Eigen::MatrixXcd::Zero(npoint,npoint);
ComplexD ci(0.0,1.0);
for(int k=0;k<npoint;k++){ // Loop over momenta
for(int l=0;l<npoint;l++){ // Loop over nbr relative
ComplexD phase(0.0,0.0);
for(int mu=0;mu<Nd;mu++){
RealD TwoPiL = M_PI * 2.0/ clatt[mu];
phase=phase+TwoPiL*geom.shifts[k][mu]*geom.shifts[l][mu];
}
phase=exp(phase*ci);
Mkl(k,l) = phase;
}
}
invMkl = Mkl.inverse();
teigen+=usecond();
///////////////////////////////////////////////////////////////////////
// Now compute the matrix elements of linop between the orthonormal
// set of vectors.
///////////////////////////////////////////////////////////////////////
FineField phaV(grid); // Phased block basis vector
FineField MphaV(grid);// Matrix applied
CoarseVector coarseInner(CoarseGrid());
std::vector<CoarseVector> ComputeProj(npoint,CoarseGrid());
std::vector<CoarseVector> FT(npoint,CoarseGrid());
for(int i=0;i<nbasis;i++){// Loop over basis vectors
std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<"/"<<nbasis<< std::endl;
for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
/////////////////////////////////////////////////////
// Stick a phase on every block
/////////////////////////////////////////////////////
tphase-=usecond();
CoarseComplexField coor(CoarseGrid());
CoarseComplexField pha(CoarseGrid()); pha=Zero();
for(int mu=0;mu<Nd;mu++){
LatticeCoordinate(coor,mu);
RealD TwoPiL = M_PI * 2.0/ clatt[mu];
pha = pha + (TwoPiL * geom.shifts[p][mu]) * coor;
}
pha =exp(pha*ci);
phaV=Zero();
blockZAXPY(phaV,pha,Subspace.subspace[i],phaV);
tphase+=usecond();
/////////////////////////////////////////////////////////////////////
// Multiple phased subspace vector by matrix and project to subspace
// Remove local bulk phase to leave relative phases
/////////////////////////////////////////////////////////////////////
tmat-=usecond();
linop.Op(phaV,MphaV);
tmat+=usecond();
tproj-=usecond();
blockProject(coarseInner,MphaV,Subspace.subspace);
coarseInner = conjugate(pha) * coarseInner;
ComputeProj[p] = coarseInner;
tproj+=usecond();
}
tinv-=usecond();
for(int k=0;k<npoint;k++){
FT[k] = Zero();
for(int l=0;l<npoint;l++){
FT[k]= FT[k]+ invMkl(l,k)*ComputeProj[l];
}
int osites=CoarseGrid()->oSites();
autoView( A_v , _A[k], AcceleratorWrite);
autoView( FT_v , FT[k], AcceleratorRead);
accelerator_for(sss, osites, 1, {
for(int j=0;j<nbasis;j++){
A_v[sss](i,j) = FT_v[sss](j);
}
});
}
tinv+=usecond();
}
// Only needed if nonhermitian
if ( ! hermitian ) {
// std::cout << GridLogMessage<<"PopulateAdag "<<std::endl;
// PopulateAdag();
}
// Need to write something to populate Adag from A
ExchangeCoarseLinks();
std::cout << GridLogMessage<<"CoarsenOperator eigen "<<teigen<<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator phase "<<tphase<<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator mat "<<tmat <<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator proj "<<tproj<<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator inv "<<tinv<<" us"<<std::endl;
}
#else
//////////////////////////////////////////////////////////////////////
// Galerkin projection of matrix
//////////////////////////////////////////////////////////////////////
void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
Aggregation<Fobj,CComplex,nbasis> & Subspace)
{
CoarsenOperator(linop,Subspace,Subspace);
}
//////////////////////////////////////////////////////////////////////
// Petrov - Galerkin projection of matrix
//////////////////////////////////////////////////////////////////////
void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
Aggregation<Fobj,CComplex,nbasis> & U,
Aggregation<Fobj,CComplex,nbasis> & V)
{
std::cout << GridLogMessage<< "GeneralCoarsenMatrix "<< std::endl;
GridBase *grid = FineGrid();
RealD tproj=0.0;
RealD teigen=0.0;
RealD tmat=0.0;
RealD tphase=0.0;
RealD tphaseBZ=0.0;
RealD tinv=0.0;
/////////////////////////////////////////////////////////////
// Orthogonalise the subblocks over the basis
/////////////////////////////////////////////////////////////
CoarseScalar InnerProd(CoarseGrid());
blockOrthogonalise(InnerProd,V.subspace);
blockOrthogonalise(InnerProd,U.subspace);
const int npoint = geom.npoint;
Coordinate clatt = CoarseGrid()->GlobalDimensions();
int Nd = CoarseGrid()->Nd();
/*
* Here, k,l index which possible momentum/shift within the N-points connected by MdagM.
* Matrix index i is mapped to this shift via
* geom.shifts[i]
*
* conj(pha[block]) proj[k (which mom)][j (basis vec cpt)][block]
* = \sum_{l in ball} e^{i q_k . delta_l} < phi_{block,j} | MdagM | phi_{(block+delta_l),i} >
* = \sum_{l in ball} e^{iqk.delta_l} A_ji^{b.b+l}
* = M_{kl} A_ji^{b.b+l}
*
* Must assemble and invert matrix M_k,l = e^[i q_k . delta_l]
*
* Where q_k = delta_k . (2*M_PI/global_nb[mu])
*
* Then A{ji}^{b,b+l} = M^{-1}_{lm} ComputeProj_{m,b,i,j}
*/
teigen-=usecond();
Eigen::MatrixXcd Mkl = Eigen::MatrixXcd::Zero(npoint,npoint);
Eigen::MatrixXcd invMkl = Eigen::MatrixXcd::Zero(npoint,npoint);
ComplexD ci(0.0,1.0);
for(int k=0;k<npoint;k++){ // Loop over momenta
for(int l=0;l<npoint;l++){ // Loop over nbr relative
ComplexD phase(0.0,0.0);
for(int mu=0;mu<Nd;mu++){
RealD TwoPiL = M_PI * 2.0/ clatt[mu];
phase=phase+TwoPiL*geom.shifts[k][mu]*geom.shifts[l][mu];
}
phase=exp(phase*ci);
Mkl(k,l) = phase;
}
}
invMkl = Mkl.inverse();
teigen+=usecond();
///////////////////////////////////////////////////////////////////////
// Now compute the matrix elements of linop between the orthonormal
// set of vectors.
///////////////////////////////////////////////////////////////////////
FineField phaV(grid); // Phased block basis vector
FineField MphaV(grid);// Matrix applied
std::vector<FineComplexField> phaF(npoint,grid);
std::vector<CoarseComplexField> pha(npoint,CoarseGrid());
CoarseVector coarseInner(CoarseGrid());
typedef typename CComplex::scalar_type SComplex;
FineComplexField one(grid); one=SComplex(1.0);
FineComplexField zz(grid); zz = Zero();
tphase=-usecond();
for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
/////////////////////////////////////////////////////
// Stick a phase on every block
/////////////////////////////////////////////////////
CoarseComplexField coor(CoarseGrid());
pha[p]=Zero();
for(int mu=0;mu<Nd;mu++){
LatticeCoordinate(coor,mu);
RealD TwoPiL = M_PI * 2.0/ clatt[mu];
pha[p] = pha[p] + (TwoPiL * geom.shifts[p][mu]) * coor;
}
pha[p] =exp(pha[p]*ci);
blockZAXPY(phaF[p],pha[p],one,zz);
}
tphase+=usecond();
std::vector<CoarseVector> ComputeProj(npoint,CoarseGrid());
std::vector<CoarseVector> FT(npoint,CoarseGrid());
for(int i=0;i<nbasis;i++){// Loop over basis vectors
std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<"/"<<nbasis<< std::endl;
for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
tphaseBZ-=usecond();
phaV = phaF[p]*V.subspace[i];
tphaseBZ+=usecond();
/////////////////////////////////////////////////////////////////////
// Multiple phased subspace vector by matrix and project to subspace
// Remove local bulk phase to leave relative phases
/////////////////////////////////////////////////////////////////////
tmat-=usecond();
linop.Op(phaV,MphaV);
tmat+=usecond();
// std::cout << i << " " <<p << " MphaV "<<norm2(MphaV)<<" "<<norm2(phaV)<<std::endl;
tproj-=usecond();
blockProject(coarseInner,MphaV,U.subspace);
coarseInner = conjugate(pha[p]) * coarseInner;
ComputeProj[p] = coarseInner;
tproj+=usecond();
// std::cout << i << " " <<p << " ComputeProj "<<norm2(ComputeProj[p])<<std::endl;
}
tinv-=usecond();
for(int k=0;k<npoint;k++){
FT[k] = Zero();
for(int l=0;l<npoint;l++){
FT[k]= FT[k]+ invMkl(l,k)*ComputeProj[l];
}
int osites=CoarseGrid()->oSites();
autoView( A_v , _A[k], AcceleratorWrite);
autoView( FT_v , FT[k], AcceleratorRead);
accelerator_for(sss, osites, 1, {
for(int j=0;j<nbasis;j++){
A_v[sss](i,j) = FT_v[sss](j);
}
});
}
tinv+=usecond();
}
// Only needed if nonhermitian
if ( ! hermitian ) {
// std::cout << GridLogMessage<<"PopulateAdag "<<std::endl;
// PopulateAdag();
}
for(int p=0;p<geom.npoint;p++){
std::cout << " _A["<<p<<"] "<<norm2(_A[p])<<std::endl;
}
// Need to write something to populate Adag from A
ExchangeCoarseLinks();
std::cout << GridLogMessage<<"CoarsenOperator eigen "<<teigen<<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator phase "<<tphase<<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator phaseBZ "<<tphaseBZ<<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator mat "<<tmat <<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator proj "<<tproj<<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator inv "<<tinv<<" us"<<std::endl;
}
#endif
void ExchangeCoarseLinks(void){
for(int p=0;p<geom.npoint;p++){
_A[p] = Cell.ExchangePeriodic(_A[p]);
// _Adag[p]= Cell.ExchangePeriodic(_Adag[p]);
}
}
virtual void Mdiag (const Field &in, Field &out){ assert(0);};
virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);};
virtual void MdirAll (const Field &in, std::vector<Field> &out){assert(0);};
};
NAMESPACE_END(Grid);

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@ -1,729 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/GeneralCoarsenedMatrixMultiRHS.h
Copyright (C) 2015
Author: Peter Boyle <pboyle@bnl.gov>
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
NAMESPACE_BEGIN(Grid);
// Fine Object == (per site) type of fine field
// nbasis == number of deflation vectors
template<class Fobj,class CComplex,int nbasis>
class MultiGeneralCoarsenedMatrix : public SparseMatrixBase<Lattice<iVector<CComplex,nbasis > > > {
public:
typedef typename CComplex::scalar_object SComplex;
typedef GeneralCoarsenedMatrix<Fobj,CComplex,nbasis> GeneralCoarseOp;
typedef MultiGeneralCoarsenedMatrix<Fobj,CComplex,nbasis> MultiGeneralCoarseOp;
typedef iVector<CComplex,nbasis > siteVector;
typedef iMatrix<CComplex,nbasis > siteMatrix;
typedef iVector<SComplex,nbasis > calcVector;
typedef iMatrix<SComplex,nbasis > calcMatrix;
typedef Lattice<iScalar<CComplex> > CoarseComplexField;
typedef Lattice<siteVector> CoarseVector;
typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
typedef iMatrix<CComplex,nbasis > Cobj;
typedef iVector<CComplex,nbasis > Cvec;
typedef Lattice< CComplex > CoarseScalar; // used for inner products on fine field
typedef Lattice<Fobj > FineField;
typedef Lattice<CComplex > FineComplexField;
typedef CoarseVector Field;
////////////////////
// Data members
////////////////////
GridCartesian * _CoarseGridMulti;
NonLocalStencilGeometry geom;
NonLocalStencilGeometry geom_srhs;
PaddedCell Cell;
GeneralLocalStencil Stencil;
deviceVector<calcVector> BLAS_B;
deviceVector<calcVector> BLAS_C;
std::vector<deviceVector<calcMatrix> > BLAS_A;
std::vector<deviceVector<ComplexD *> > BLAS_AP;
std::vector<deviceVector<ComplexD *> > BLAS_BP;
deviceVector<ComplexD *> BLAS_CP;
///////////////////////
// Interface
///////////////////////
GridBase * Grid(void) { return _CoarseGridMulti; }; // this is all the linalg routines need to know
GridCartesian * CoarseGrid(void) { return _CoarseGridMulti; }; // this is all the linalg routines need to know
// Can be used to do I/O on the operator matrices externally
void SetMatrix (int p,CoarseMatrix & A)
{
assert(A.size()==geom_srhs.npoint);
GridtoBLAS(A[p],BLAS_A[p]);
}
void GetMatrix (int p,CoarseMatrix & A)
{
assert(A.size()==geom_srhs.npoint);
BLAStoGrid(A[p],BLAS_A[p]);
}
void CopyMatrix (GeneralCoarseOp &_Op)
{
for(int p=0;p<geom.npoint;p++){
auto Aup = _Op.Cell.Extract(_Op._A[p]);
//Unpadded
GridtoBLAS(Aup,BLAS_A[p]);
}
}
/*
void CheckMatrix (GeneralCoarseOp &_Op)
{
std::cout <<"************* Checking the little direc operator mRHS"<<std::endl;
for(int p=0;p<geom.npoint;p++){
//Unpadded
auto Aup = _Op.Cell.Extract(_Op._A[p]);
auto Ack = Aup;
BLAStoGrid(Ack,BLAS_A[p]);
std::cout << p<<" Ack "<<norm2(Ack)<<std::endl;
std::cout << p<<" Aup "<<norm2(Aup)<<std::endl;
}
std::cout <<"************* "<<std::endl;
}
*/
MultiGeneralCoarsenedMatrix(NonLocalStencilGeometry &_geom,GridCartesian *CoarseGridMulti) :
_CoarseGridMulti(CoarseGridMulti),
geom_srhs(_geom),
geom(_CoarseGridMulti,_geom.hops,_geom.skip+1),
Cell(geom.Depth(),_CoarseGridMulti),
Stencil(Cell.grids.back(),geom.shifts) // padded cell stencil
{
int32_t padded_sites = Cell.grids.back()->lSites();
int32_t unpadded_sites = CoarseGridMulti->lSites();
int32_t nrhs = CoarseGridMulti->FullDimensions()[0]; // # RHS
int32_t orhs = nrhs/CComplex::Nsimd();
padded_sites = padded_sites/nrhs;
unpadded_sites = unpadded_sites/nrhs;
/////////////////////////////////////////////////
// Device data vector storage
/////////////////////////////////////////////////
BLAS_A.resize(geom.npoint);
for(int p=0;p<geom.npoint;p++){
BLAS_A[p].resize (unpadded_sites); // no ghost zone, npoint elements
}
BLAS_B.resize(nrhs *padded_sites); // includes ghost zone
BLAS_C.resize(nrhs *unpadded_sites); // no ghost zone
BLAS_AP.resize(geom.npoint);
BLAS_BP.resize(geom.npoint);
for(int p=0;p<geom.npoint;p++){
BLAS_AP[p].resize(unpadded_sites);
BLAS_BP[p].resize(unpadded_sites);
}
BLAS_CP.resize(unpadded_sites);
/////////////////////////////////////////////////
// Pointers to data
/////////////////////////////////////////////////
// Site identity mapping for A
for(int p=0;p<geom.npoint;p++){
for(int ss=0;ss<unpadded_sites;ss++){
ComplexD *ptr = (ComplexD *)&BLAS_A[p][ss];
acceleratorPut(BLAS_AP[p][ss],ptr);
}
}
// Site identity mapping for C
for(int ss=0;ss<unpadded_sites;ss++){
ComplexD *ptr = (ComplexD *)&BLAS_C[ss*nrhs];
acceleratorPut(BLAS_CP[ss],ptr);
}
// Neighbour table is more complicated
int32_t j=0; // Interior point counter (unpadded)
for(int32_t s=0;s<padded_sites;s++){ // 4 volume, padded
int ghost_zone=0;
for(int32_t point = 0 ; point < geom.npoint; point++){
int i=s*orhs*geom.npoint+point;
if( Stencil._entries[i]._wrap ) { // stencil is indexed by the oSite of the CoarseGridMulti, hence orhs factor
ghost_zone=1; // If general stencil wrapped in any direction, wrap=1
}
}
if( ghost_zone==0) {
for(int32_t point = 0 ; point < geom.npoint; point++){
int i=s*orhs*geom.npoint+point;
int32_t nbr = Stencil._entries[i]._offset*CComplex::Nsimd(); // oSite -> lSite
assert(nbr<BLAS_B.size());
ComplexD * ptr = (ComplexD *)&BLAS_B[nbr];
acceleratorPut(BLAS_BP[point][j],ptr); // neighbour indexing in ghost zone volume
}
j++;
}
}
assert(j==unpadded_sites);
}
template<class vobj> void GridtoBLAS(const Lattice<vobj> &from,deviceVector<typename vobj::scalar_object> &to)
{
typedef typename vobj::scalar_object sobj;
typedef typename vobj::scalar_type scalar_type;
typedef typename vobj::vector_type vector_type;
GridBase *Fg = from.Grid();
assert(!Fg->_isCheckerBoarded);
int nd = Fg->_ndimension;
to.resize(Fg->lSites());
Coordinate LocalLatt = Fg->LocalDimensions();
size_t nsite = 1;
for(int i=0;i<nd;i++) nsite *= LocalLatt[i];
////////////////////////////////////////////////////////////////////////////////////////////////
// do the index calc on the GPU
////////////////////////////////////////////////////////////////////////////////////////////////
Coordinate f_ostride = Fg->_ostride;
Coordinate f_istride = Fg->_istride;
Coordinate f_rdimensions = Fg->_rdimensions;
autoView(from_v,from,AcceleratorRead);
auto to_v = &to[0];
const int words=sizeof(vobj)/sizeof(vector_type);
accelerator_for(idx,nsite,1,{
Coordinate from_coor, base;
Lexicographic::CoorFromIndex(base,idx,LocalLatt);
for(int i=0;i<nd;i++){
from_coor[i] = base[i];
}
int from_oidx = 0; for(int d=0;d<nd;d++) from_oidx+=f_ostride[d]*(from_coor[d]%f_rdimensions[d]);
int from_lane = 0; for(int d=0;d<nd;d++) from_lane+=f_istride[d]*(from_coor[d]/f_rdimensions[d]);
const vector_type* from = (const vector_type *)&from_v[from_oidx];
scalar_type* to = (scalar_type *)&to_v[idx];
scalar_type stmp;
for(int w=0;w<words;w++){
stmp = getlane(from[w], from_lane);
to[w] = stmp;
}
});
}
template<class vobj> void BLAStoGrid(Lattice<vobj> &grid,deviceVector<typename vobj::scalar_object> &in)
{
typedef typename vobj::scalar_object sobj;
typedef typename vobj::scalar_type scalar_type;
typedef typename vobj::vector_type vector_type;
GridBase *Tg = grid.Grid();
assert(!Tg->_isCheckerBoarded);
int nd = Tg->_ndimension;
assert(in.size()==Tg->lSites());
Coordinate LocalLatt = Tg->LocalDimensions();
size_t nsite = 1;
for(int i=0;i<nd;i++) nsite *= LocalLatt[i];
////////////////////////////////////////////////////////////////////////////////////////////////
// do the index calc on the GPU
////////////////////////////////////////////////////////////////////////////////////////////////
Coordinate t_ostride = Tg->_ostride;
Coordinate t_istride = Tg->_istride;
Coordinate t_rdimensions = Tg->_rdimensions;
autoView(to_v,grid,AcceleratorWrite);
auto from_v = &in[0];
const int words=sizeof(vobj)/sizeof(vector_type);
accelerator_for(idx,nsite,1,{
Coordinate to_coor, base;
Lexicographic::CoorFromIndex(base,idx,LocalLatt);
for(int i=0;i<nd;i++){
to_coor[i] = base[i];
}
int to_oidx = 0; for(int d=0;d<nd;d++) to_oidx+=t_ostride[d]*(to_coor[d]%t_rdimensions[d]);
int to_lane = 0; for(int d=0;d<nd;d++) to_lane+=t_istride[d]*(to_coor[d]/t_rdimensions[d]);
vector_type* to = (vector_type *)&to_v[to_oidx];
scalar_type* from = (scalar_type *)&from_v[idx];
scalar_type stmp;
for(int w=0;w<words;w++){
stmp=from[w];
putlane(to[w], stmp, to_lane);
}
});
}
void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
Aggregation<Fobj,CComplex,nbasis> & Subspace,
GridBase *CoarseGrid)
{
#if 0
std::cout << GridLogMessage<< "GeneralCoarsenMatrixMrhs "<< std::endl;
GridBase *grid = Subspace.FineGrid;
/////////////////////////////////////////////////////////////
// Orthogonalise the subblocks over the basis
/////////////////////////////////////////////////////////////
CoarseScalar InnerProd(CoarseGrid);
blockOrthogonalise(InnerProd,Subspace.subspace);
const int npoint = geom_srhs.npoint;
Coordinate clatt = CoarseGrid->GlobalDimensions();
int Nd = CoarseGrid->Nd();
/*
* Here, k,l index which possible momentum/shift within the N-points connected by MdagM.
* Matrix index i is mapped to this shift via
* geom.shifts[i]
*
* conj(pha[block]) proj[k (which mom)][j (basis vec cpt)][block]
* = \sum_{l in ball} e^{i q_k . delta_l} < phi_{block,j} | MdagM | phi_{(block+delta_l),i} >
* = \sum_{l in ball} e^{iqk.delta_l} A_ji^{b.b+l}
* = M_{kl} A_ji^{b.b+l}
*
* Must assemble and invert matrix M_k,l = e^[i q_k . delta_l]
*
* Where q_k = delta_k . (2*M_PI/global_nb[mu])
*
* Then A{ji}^{b,b+l} = M^{-1}_{lm} ComputeProj_{m,b,i,j}
*/
Eigen::MatrixXcd Mkl = Eigen::MatrixXcd::Zero(npoint,npoint);
Eigen::MatrixXcd invMkl = Eigen::MatrixXcd::Zero(npoint,npoint);
ComplexD ci(0.0,1.0);
for(int k=0;k<npoint;k++){ // Loop over momenta
for(int l=0;l<npoint;l++){ // Loop over nbr relative
ComplexD phase(0.0,0.0);
for(int mu=0;mu<Nd;mu++){
RealD TwoPiL = M_PI * 2.0/ clatt[mu];
phase=phase+TwoPiL*geom_srhs.shifts[k][mu]*geom_srhs.shifts[l][mu];
}
phase=exp(phase*ci);
Mkl(k,l) = phase;
}
}
invMkl = Mkl.inverse();
///////////////////////////////////////////////////////////////////////
// Now compute the matrix elements of linop between the orthonormal
// set of vectors.
///////////////////////////////////////////////////////////////////////
FineField phaV(grid); // Phased block basis vector
FineField MphaV(grid);// Matrix applied
std::vector<FineComplexField> phaF(npoint,grid);
std::vector<CoarseComplexField> pha(npoint,CoarseGrid);
CoarseVector coarseInner(CoarseGrid);
typedef typename CComplex::scalar_type SComplex;
FineComplexField one(grid); one=SComplex(1.0);
FineComplexField zz(grid); zz = Zero();
for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
/////////////////////////////////////////////////////
// Stick a phase on every block
/////////////////////////////////////////////////////
CoarseComplexField coor(CoarseGrid);
pha[p]=Zero();
for(int mu=0;mu<Nd;mu++){
LatticeCoordinate(coor,mu);
RealD TwoPiL = M_PI * 2.0/ clatt[mu];
pha[p] = pha[p] + (TwoPiL * geom_srhs.shifts[p][mu]) * coor;
}
pha[p] =exp(pha[p]*ci);
blockZAXPY(phaF[p],pha[p],one,zz);
}
// Could save on temporary storage here
std::vector<CoarseMatrix> _A;
_A.resize(geom_srhs.npoint,CoarseGrid);
std::vector<CoarseVector> ComputeProj(npoint,CoarseGrid);
CoarseVector FT(CoarseGrid);
for(int i=0;i<nbasis;i++){// Loop over basis vectors
std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<"/"<<nbasis<< std::endl;
for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
phaV = phaF[p]*Subspace.subspace[i];
/////////////////////////////////////////////////////////////////////
// Multiple phased subspace vector by matrix and project to subspace
// Remove local bulk phase to leave relative phases
/////////////////////////////////////////////////////////////////////
linop.Op(phaV,MphaV);
// Fixme, could use batched block projector here
blockProject(coarseInner,MphaV,Subspace.subspace);
coarseInner = conjugate(pha[p]) * coarseInner;
ComputeProj[p] = coarseInner;
}
// Could do this with a block promote or similar BLAS call via the MultiRHSBlockProjector with a const matrix.
for(int k=0;k<npoint;k++){
FT = Zero();
for(int l=0;l<npoint;l++){
FT= FT+ invMkl(l,k)*ComputeProj[l];
}
int osites=CoarseGrid->oSites();
autoView( A_v , _A[k], AcceleratorWrite);
autoView( FT_v , FT, AcceleratorRead);
accelerator_for(sss, osites, 1, {
for(int j=0;j<nbasis;j++){
A_v[sss](i,j) = FT_v[sss](j);
}
});
}
}
// Only needed if nonhermitian
// if ( ! hermitian ) {
// std::cout << GridLogMessage<<"PopulateAdag "<<std::endl;
// PopulateAdag();
// }
// Need to write something to populate Adag from A
for(int p=0;p<geom_srhs.npoint;p++){
GridtoBLAS(_A[p],BLAS_A[p]);
}
/*
Grid : Message : 11698.730546 s : CoarsenOperator eigen 1334 us
Grid : Message : 11698.730563 s : CoarsenOperator phase 34729 us
Grid : Message : 11698.730565 s : CoarsenOperator phaseBZ 2423814 us
Grid : Message : 11698.730566 s : CoarsenOperator mat 127890998 us
Grid : Message : 11698.730567 s : CoarsenOperator proj 515840840 us
Grid : Message : 11698.730568 s : CoarsenOperator inv 103948313 us
Takes 600s to compute matrix elements, DOMINATED by the block project.
Easy to speed up with the batched block project.
Store npoint vectors, get npoint x Nbasis block projection, and 81 fold faster.
// Block project below taks to 240s
Grid : Message : 328.193418 s : CoarsenOperator phase 38338 us
Grid : Message : 328.193434 s : CoarsenOperator phaseBZ 1711226 us
Grid : Message : 328.193436 s : CoarsenOperator mat 122213270 us
//Grid : Message : 328.193438 s : CoarsenOperator proj 1181154 us <-- this is mistimed
//Grid : Message : 11698.730568 s : CoarsenOperator inv 103948313 us <-- Cut this ~10x if lucky by loop fusion
*/
#else
RealD tproj=0.0;
RealD tmat=0.0;
RealD tphase=0.0;
RealD tphaseBZ=0.0;
RealD tinv=0.0;
std::cout << GridLogMessage<< "GeneralCoarsenMatrixMrhs "<< std::endl;
GridBase *grid = Subspace.FineGrid;
/////////////////////////////////////////////////////////////
// Orthogonalise the subblocks over the basis
/////////////////////////////////////////////////////////////
CoarseScalar InnerProd(CoarseGrid);
blockOrthogonalise(InnerProd,Subspace.subspace);
MultiRHSBlockProject<Lattice<Fobj> > Projector;
Projector.Allocate(nbasis,grid,CoarseGrid);
Projector.ImportBasis(Subspace.subspace);
const int npoint = geom_srhs.npoint;
Coordinate clatt = CoarseGrid->GlobalDimensions();
int Nd = CoarseGrid->Nd();
/*
* Here, k,l index which possible momentum/shift within the N-points connected by MdagM.
* Matrix index i is mapped to this shift via
* geom.shifts[i]
*
* conj(pha[block]) proj[k (which mom)][j (basis vec cpt)][block]
* = \sum_{l in ball} e^{i q_k . delta_l} < phi_{block,j} | MdagM | phi_{(block+delta_l),i} >
* = \sum_{l in ball} e^{iqk.delta_l} A_ji^{b.b+l}
* = M_{kl} A_ji^{b.b+l}
*
* Must assemble and invert matrix M_k,l = e^[i q_k . delta_l]
*
* Where q_k = delta_k . (2*M_PI/global_nb[mu])
*
* Then A{ji}^{b,b+l} = M^{-1}_{lm} ComputeProj_{m,b,i,j}
*/
Eigen::MatrixXcd Mkl = Eigen::MatrixXcd::Zero(npoint,npoint);
Eigen::MatrixXcd invMkl = Eigen::MatrixXcd::Zero(npoint,npoint);
ComplexD ci(0.0,1.0);
for(int k=0;k<npoint;k++){ // Loop over momenta
for(int l=0;l<npoint;l++){ // Loop over nbr relative
ComplexD phase(0.0,0.0);
for(int mu=0;mu<Nd;mu++){
RealD TwoPiL = M_PI * 2.0/ clatt[mu];
phase=phase+TwoPiL*geom_srhs.shifts[k][mu]*geom_srhs.shifts[l][mu];
}
phase=exp(phase*ci);
Mkl(k,l) = phase;
}
}
invMkl = Mkl.inverse();
///////////////////////////////////////////////////////////////////////
// Now compute the matrix elements of linop between the orthonormal
// set of vectors.
///////////////////////////////////////////////////////////////////////
FineField phaV(grid); // Phased block basis vector
FineField MphaV(grid);// Matrix applied
std::vector<FineComplexField> phaF(npoint,grid);
std::vector<CoarseComplexField> pha(npoint,CoarseGrid);
CoarseVector coarseInner(CoarseGrid);
tphase=-usecond();
typedef typename CComplex::scalar_type SComplex;
FineComplexField one(grid); one=SComplex(1.0);
FineComplexField zz(grid); zz = Zero();
for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
/////////////////////////////////////////////////////
// Stick a phase on every block
/////////////////////////////////////////////////////
CoarseComplexField coor(CoarseGrid);
pha[p]=Zero();
for(int mu=0;mu<Nd;mu++){
LatticeCoordinate(coor,mu);
RealD TwoPiL = M_PI * 2.0/ clatt[mu];
pha[p] = pha[p] + (TwoPiL * geom_srhs.shifts[p][mu]) * coor;
}
pha[p] =exp(pha[p]*ci);
blockZAXPY(phaF[p],pha[p],one,zz);
}
tphase+=usecond();
// Could save on temporary storage here
std::vector<CoarseMatrix> _A;
_A.resize(geom_srhs.npoint,CoarseGrid);
// Count use small chunks than npoint == 81 and save memory
int batch = 9;
std::vector<FineField> _MphaV(batch,grid);
std::vector<CoarseVector> TmpProj(batch,CoarseGrid);
std::vector<CoarseVector> ComputeProj(npoint,CoarseGrid);
CoarseVector FT(CoarseGrid);
for(int i=0;i<nbasis;i++){// Loop over basis vectors
std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<"/"<<nbasis<< std::endl;
// std::cout << GridLogMessage << " phasing the fine vector "<<std::endl;
// Fixme : do this in batches
for(int p=0;p<npoint;p+=batch){ // Loop over momenta in npoint
for(int b=0;b<MIN(batch,npoint-p);b++){
tphaseBZ-=usecond();
phaV = phaF[p+b]*Subspace.subspace[i];
tphaseBZ+=usecond();
/////////////////////////////////////////////////////////////////////
// Multiple phased subspace vector by matrix and project to subspace
// Remove local bulk phase to leave relative phases
/////////////////////////////////////////////////////////////////////
// Memory footprint was an issue
tmat-=usecond();
linop.Op(phaV,MphaV);
_MphaV[b] = MphaV;
tmat+=usecond();
}
// std::cout << GridLogMessage << " Calling block project "<<std::endl;
tproj-=usecond();
Projector.blockProject(_MphaV,TmpProj);
tproj+=usecond();
// std::cout << GridLogMessage << " conj phasing the coarse vectors "<<std::endl;
for(int b=0;b<MIN(batch,npoint-p);b++){
ComputeProj[p+b] = conjugate(pha[p+b])*TmpProj[b];
}
}
// Could do this with a block promote or similar BLAS call via the MultiRHSBlockProjector with a const matrix.
// std::cout << GridLogMessage << " Starting FT inv "<<std::endl;
tinv-=usecond();
for(int k=0;k<npoint;k++){
FT = Zero();
// 81 kernel calls as many ComputeProj vectors
// Could fuse with a vector of views, but ugly
// Could unroll the expression and run fewer kernels -- much more attractive
// Could also do non blocking.
#if 0
for(int l=0;l<npoint;l++){
FT= FT+ invMkl(l,k)*ComputeProj[l];
}
#else
const int radix = 9;
int ll;
for(ll=0;ll+radix-1<npoint;ll+=radix){
// When ll = npoint-radix, ll+radix-1 = npoint-1, and we do it all.
FT = FT
+ invMkl(ll+0,k)*ComputeProj[ll+0]
+ invMkl(ll+1,k)*ComputeProj[ll+1]
+ invMkl(ll+2,k)*ComputeProj[ll+2]
+ invMkl(ll+3,k)*ComputeProj[ll+3]
+ invMkl(ll+4,k)*ComputeProj[ll+4]
+ invMkl(ll+5,k)*ComputeProj[ll+5]
+ invMkl(ll+6,k)*ComputeProj[ll+6]
+ invMkl(ll+7,k)*ComputeProj[ll+7]
+ invMkl(ll+8,k)*ComputeProj[ll+8];
}
for(int l=ll;l<npoint;l++){
FT= FT+ invMkl(l,k)*ComputeProj[l];
}
#endif
// 1 kernel call -- must be cheaper
int osites=CoarseGrid->oSites();
autoView( A_v , _A[k], AcceleratorWrite);
autoView( FT_v , FT, AcceleratorRead);
accelerator_for(sss, osites, 1, {
for(int j=0;j<nbasis;j++){
A_v[sss](i,j) = FT_v[sss](j);
}
});
}
tinv+=usecond();
}
// Only needed if nonhermitian
// if ( ! hermitian ) {
// std::cout << GridLogMessage<<"PopulateAdag "<<std::endl;
// PopulateAdag();
// }
// Need to write something to populate Adag from A
// std::cout << GridLogMessage << " Calling GridtoBLAS "<<std::endl;
for(int p=0;p<geom_srhs.npoint;p++){
GridtoBLAS(_A[p],BLAS_A[p]);
}
std::cout << GridLogMessage<<"CoarsenOperator phase "<<tphase<<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator phaseBZ "<<tphaseBZ<<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator mat "<<tmat <<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator proj "<<tproj<<" us"<<std::endl;
std::cout << GridLogMessage<<"CoarsenOperator inv "<<tinv<<" us"<<std::endl;
#endif
}
void Mdag(const CoarseVector &in, CoarseVector &out)
{
this->M(in,out);
}
void M (const CoarseVector &in, CoarseVector &out)
{
// std::cout << GridLogMessage << "New Mrhs coarse"<<std::endl;
conformable(CoarseGrid(),in.Grid());
conformable(in.Grid(),out.Grid());
out.Checkerboard() = in.Checkerboard();
RealD t_tot;
RealD t_exch;
RealD t_GtoB;
RealD t_BtoG;
RealD t_mult;
t_tot=-usecond();
CoarseVector tin=in;
t_exch=-usecond();
CoarseVector pin = Cell.ExchangePeriodic(tin); //padded input
t_exch+=usecond();
CoarseVector pout(pin.Grid());
int npoint = geom.npoint;
typedef calcMatrix* Aview;
typedef LatticeView<Cvec> Vview;
const int Nsimd = CComplex::Nsimd();
int64_t nrhs =pin.Grid()->GlobalDimensions()[0];
assert(nrhs>=1);
RealD flops,bytes;
int64_t osites=in.Grid()->oSites(); // unpadded
int64_t unpadded_vol = CoarseGrid()->lSites()/nrhs;
flops = 1.0* npoint * nbasis * nbasis * 8.0 * osites * CComplex::Nsimd();
bytes = 1.0*osites*sizeof(siteMatrix)*npoint/pin.Grid()->GlobalDimensions()[0]
+ 2.0*osites*sizeof(siteVector)*npoint;
t_GtoB=-usecond();
GridtoBLAS(pin,BLAS_B);
t_GtoB+=usecond();
GridBLAS BLAS;
t_mult=-usecond();
for(int p=0;p<geom.npoint;p++){
RealD c = 1.0;
if (p==0) c = 0.0;
ComplexD beta(c);
BLAS.gemmBatched(nbasis,nrhs,nbasis,
ComplexD(1.0),
BLAS_AP[p],
BLAS_BP[p],
ComplexD(c),
BLAS_CP);
}
BLAS.synchronise();
t_mult+=usecond();
t_BtoG=-usecond();
BLAStoGrid(out,BLAS_C);
t_BtoG+=usecond();
t_tot+=usecond();
/*
std::cout << GridLogMessage << "New Mrhs coarse DONE "<<std::endl;
std::cout << GridLogMessage<<"Coarse Mult exch "<<t_exch<<" us"<<std::endl;
std::cout << GridLogMessage<<"Coarse Mult mult "<<t_mult<<" us"<<std::endl;
std::cout << GridLogMessage<<"Coarse Mult GtoB "<<t_GtoB<<" us"<<std::endl;
std::cout << GridLogMessage<<"Coarse Mult BtoG "<<t_BtoG<<" us"<<std::endl;
std::cout << GridLogMessage<<"Coarse Mult tot "<<t_tot<<" us"<<std::endl;
*/
// std::cout << GridLogMessage<<std::endl;
// std::cout << GridLogMessage<<"Coarse Kernel flops "<< flops<<std::endl;
// std::cout << GridLogMessage<<"Coarse Kernel flop/s "<< flops/t_mult<<" mflop/s"<<std::endl;
// std::cout << GridLogMessage<<"Coarse Kernel bytes/s "<< bytes/t_mult/1000<<" GB/s"<<std::endl;
// std::cout << GridLogMessage<<"Coarse overall flops/s "<< flops/t_tot<<" mflop/s"<<std::endl;
// std::cout << GridLogMessage<<"Coarse total bytes "<< bytes/1e6<<" MB"<<std::endl;
};
virtual void Mdiag (const Field &in, Field &out){ assert(0);};
virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);};
virtual void MdirAll (const Field &in, std::vector<Field> &out){assert(0);};
};
NAMESPACE_END(Grid);

View File

@ -1,238 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/GeneralCoarsenedMatrix.h
Copyright (C) 2015
Author: Peter Boyle <pboyle@bnl.gov>
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
NAMESPACE_BEGIN(Grid);
/////////////////////////////////////////////////////////////////
// Geometry class in cartesian case
/////////////////////////////////////////////////////////////////
class Geometry {
public:
int npoint;
int base;
std::vector<int> directions ;
std::vector<int> displacements;
std::vector<int> points_dagger;
Geometry(int _d) {
base = (_d==5) ? 1:0;
// make coarse grid stencil for 4d , not 5d
if ( _d==5 ) _d=4;
npoint = 2*_d+1;
directions.resize(npoint);
displacements.resize(npoint);
points_dagger.resize(npoint);
for(int d=0;d<_d;d++){
directions[d ] = d+base;
directions[d+_d] = d+base;
displacements[d ] = +1;
displacements[d+_d]= -1;
points_dagger[d ] = d+_d;
points_dagger[d+_d] = d;
}
directions [2*_d]=0;
displacements[2*_d]=0;
points_dagger[2*_d]=2*_d;
}
int point(int dir, int disp) {
assert(disp == -1 || disp == 0 || disp == 1);
assert(base+0 <= dir && dir < base+4);
// directions faster index = new indexing
// 4d (base = 0):
// point 0 1 2 3 4 5 6 7 8
// dir 0 1 2 3 0 1 2 3 0
// disp +1 +1 +1 +1 -1 -1 -1 -1 0
// 5d (base = 1):
// point 0 1 2 3 4 5 6 7 8
// dir 1 2 3 4 1 2 3 4 0
// disp +1 +1 +1 +1 -1 -1 -1 -1 0
// displacements faster index = old indexing
// 4d (base = 0):
// point 0 1 2 3 4 5 6 7 8
// dir 0 0 1 1 2 2 3 3 0
// disp +1 -1 +1 -1 +1 -1 +1 -1 0
// 5d (base = 1):
// point 0 1 2 3 4 5 6 7 8
// dir 1 1 2 2 3 3 4 4 0
// disp +1 -1 +1 -1 +1 -1 +1 -1 0
if(dir == 0 and disp == 0)
return 8;
else // New indexing
return (1 - disp) / 2 * 4 + dir - base;
// else // Old indexing
// return (4 * (dir - base) + 1 - disp) / 2;
}
};
/////////////////////////////////////////////////////////////////
// Less local equivalent of Geometry class in cartesian case
/////////////////////////////////////////////////////////////////
class NonLocalStencilGeometry {
public:
// int depth;
int skip;
int hops;
int npoint;
std::vector<Coordinate> shifts;
Coordinate stencil_size;
Coordinate stencil_lo;
Coordinate stencil_hi;
GridCartesian *grid;
GridCartesian *Grid() {return grid;};
int Depth(void){return 1;}; // Ghost zone depth
int Hops(void){return hops;}; // # of hops=> level of corner fill in in stencil
int DimSkip(void){return skip;};
virtual ~NonLocalStencilGeometry() {};
int Reverse(int point)
{
int Nd = Grid()->Nd();
Coordinate shft = shifts[point];
Coordinate rev(Nd);
for(int mu=0;mu<Nd;mu++) rev[mu]= -shft[mu];
for(int p=0;p<npoint;p++){
if(rev==shifts[p]){
return p;
}
}
assert(0);
return -1;
}
void BuildShifts(void)
{
this->shifts.resize(0);
int Nd = this->grid->Nd();
int dd = this->DimSkip();
for(int s0=this->stencil_lo[dd+0];s0<=this->stencil_hi[dd+0];s0++){
for(int s1=this->stencil_lo[dd+1];s1<=this->stencil_hi[dd+1];s1++){
for(int s2=this->stencil_lo[dd+2];s2<=this->stencil_hi[dd+2];s2++){
for(int s3=this->stencil_lo[dd+3];s3<=this->stencil_hi[dd+3];s3++){
Coordinate sft(Nd,0);
sft[dd+0] = s0;
sft[dd+1] = s1;
sft[dd+2] = s2;
sft[dd+3] = s3;
int nhops = abs(s0)+abs(s1)+abs(s2)+abs(s3);
if(nhops<=this->hops) this->shifts.push_back(sft);
}}}}
this->npoint = this->shifts.size();
std::cout << GridLogMessage << "NonLocalStencilGeometry has "<< this->npoint << " terms in stencil "<<std::endl;
}
NonLocalStencilGeometry(GridCartesian *_coarse_grid,int _hops,int _skip) : grid(_coarse_grid), hops(_hops), skip(_skip)
{
Coordinate latt = grid->GlobalDimensions();
stencil_size.resize(grid->Nd());
stencil_lo.resize(grid->Nd());
stencil_hi.resize(grid->Nd());
for(int d=0;d<grid->Nd();d++){
if ( latt[d] == 1 ) {
stencil_lo[d] = 0;
stencil_hi[d] = 0;
stencil_size[d]= 1;
} else if ( latt[d] == 2 ) {
stencil_lo[d] = -1;
stencil_hi[d] = 0;
stencil_size[d]= 2;
} else if ( latt[d] > 2 ) {
stencil_lo[d] = -1;
stencil_hi[d] = 1;
stencil_size[d]= 3;
}
}
this->BuildShifts();
};
};
// Need to worry about red-black now
class NonLocalStencilGeometry4D : public NonLocalStencilGeometry {
public:
virtual int DerivedDimSkip(void) { return 0;};
NonLocalStencilGeometry4D(GridCartesian *Coarse,int _hops) : NonLocalStencilGeometry(Coarse,_hops,0) { };
virtual ~NonLocalStencilGeometry4D() {};
};
class NonLocalStencilGeometry5D : public NonLocalStencilGeometry {
public:
virtual int DerivedDimSkip(void) { return 1; };
NonLocalStencilGeometry5D(GridCartesian *Coarse,int _hops) : NonLocalStencilGeometry(Coarse,_hops,1) { };
virtual ~NonLocalStencilGeometry5D() {};
};
/*
* Bunch of different options classes
*/
class NextToNextToNextToNearestStencilGeometry4D : public NonLocalStencilGeometry4D {
public:
NextToNextToNextToNearestStencilGeometry4D(GridCartesian *Coarse) : NonLocalStencilGeometry4D(Coarse,4)
{
};
};
class NextToNextToNextToNearestStencilGeometry5D : public NonLocalStencilGeometry5D {
public:
NextToNextToNextToNearestStencilGeometry5D(GridCartesian *Coarse) : NonLocalStencilGeometry5D(Coarse,4)
{
};
};
class NextToNearestStencilGeometry4D : public NonLocalStencilGeometry4D {
public:
NextToNearestStencilGeometry4D(GridCartesian *Coarse) : NonLocalStencilGeometry4D(Coarse,2)
{
};
};
class NextToNearestStencilGeometry5D : public NonLocalStencilGeometry5D {
public:
NextToNearestStencilGeometry5D(GridCartesian *Coarse) : NonLocalStencilGeometry5D(Coarse,2)
{
};
};
class NearestStencilGeometry4D : public NonLocalStencilGeometry4D {
public:
NearestStencilGeometry4D(GridCartesian *Coarse) : NonLocalStencilGeometry4D(Coarse,1)
{
};
};
class NearestStencilGeometry5D : public NonLocalStencilGeometry5D {
public:
NearestStencilGeometry5D(GridCartesian *Coarse) : NonLocalStencilGeometry5D(Coarse,1)
{
};
};
NAMESPACE_END(Grid);

View File

@ -1,34 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: Grid/algorithms/multigrid/MultiGrid.h
Copyright (C) 2023
Author: Peter Boyle <pboyle@bnl.gov>
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
#include <Grid/algorithms/multigrid/Aggregates.h>
#include <Grid/algorithms/multigrid/Geometry.h>
#include <Grid/algorithms/multigrid/CoarsenedMatrix.h>
#include <Grid/algorithms/multigrid/GeneralCoarsenedMatrix.h>
#include <Grid/algorithms/multigrid/GeneralCoarsenedMatrixMultiRHS.h>

View File

@ -1,11 +1,70 @@
#include <Grid/GridCore.h> #include <Grid/GridCore.h>
#include <fcntl.h> #include <fcntl.h>
NAMESPACE_BEGIN(Grid); namespace Grid {
MemoryStats *MemoryProfiler::stats = nullptr; MemoryStats *MemoryProfiler::stats = nullptr;
bool MemoryProfiler::debug = false; bool MemoryProfiler::debug = false;
int PointerCache::victim;
PointerCache::PointerCacheEntry PointerCache::Entries[PointerCache::Ncache];
void *PointerCache::Insert(void *ptr,size_t bytes) {
if (bytes < 4096 ) return ptr;
#ifdef GRID_OMP
assert(omp_in_parallel()==0);
#endif
void * ret = NULL;
int v = -1;
for(int e=0;e<Ncache;e++) {
if ( Entries[e].valid==0 ) {
v=e;
break;
}
}
if ( v==-1 ) {
v=victim;
victim = (victim+1)%Ncache;
}
if ( Entries[v].valid ) {
ret = Entries[v].address;
Entries[v].valid = 0;
Entries[v].address = NULL;
Entries[v].bytes = 0;
}
Entries[v].address=ptr;
Entries[v].bytes =bytes;
Entries[v].valid =1;
return ret;
}
void *PointerCache::Lookup(size_t bytes) {
if (bytes < 4096 ) return NULL;
#ifdef _OPENMP
assert(omp_in_parallel()==0);
#endif
for(int e=0;e<Ncache;e++){
if ( Entries[e].valid && ( Entries[e].bytes == bytes ) ) {
Entries[e].valid = 0;
return Entries[e].address;
}
}
return NULL;
}
void check_huge_pages(void *Buf,uint64_t BYTES) void check_huge_pages(void *Buf,uint64_t BYTES)
{ {
#ifdef __linux__ #ifdef __linux__
@ -15,10 +74,10 @@ void check_huge_pages(void *Buf,uint64_t BYTES)
uint64_t virt_pfn = (uint64_t)Buf / page_size; uint64_t virt_pfn = (uint64_t)Buf / page_size;
off_t offset = sizeof(uint64_t) * virt_pfn; off_t offset = sizeof(uint64_t) * virt_pfn;
uint64_t npages = (BYTES + page_size-1) / page_size; uint64_t npages = (BYTES + page_size-1) / page_size;
std::vector<uint64_t> pagedata(npages); uint64_t pagedata[npages];
uint64_t ret = lseek(fd, offset, SEEK_SET); uint64_t ret = lseek(fd, offset, SEEK_SET);
assert(ret == offset); assert(ret == offset);
ret = ::read(fd, &pagedata[0], sizeof(uint64_t)*npages); ret = ::read(fd, pagedata, sizeof(uint64_t)*npages);
assert(ret == sizeof(uint64_t) * npages); assert(ret == sizeof(uint64_t) * npages);
int nhugepages = npages / 512; int nhugepages = npages / 512;
int n4ktotal, nnothuge; int n4ktotal, nnothuge;
@ -31,7 +90,7 @@ void check_huge_pages(void *Buf,uint64_t BYTES)
++n4ktotal; ++n4ktotal;
if (pageaddr != baseaddr + j * page_size) if (pageaddr != baseaddr + j * page_size)
++nnothuge; ++nnothuge;
} }
} }
int rank = CartesianCommunicator::RankWorld(); int rank = CartesianCommunicator::RankWorld();
printf("rank %d Allocated %d 4k pages, %d not in huge pages\n", rank, n4ktotal, nnothuge); printf("rank %d Allocated %d 4k pages, %d not in huge pages\n", rank, n4ktotal, nnothuge);
@ -47,21 +106,20 @@ std::string sizeString(const size_t bytes)
double count = bytes; double count = bytes;
while (count >= 1024 && s < 7) while (count >= 1024 && s < 7)
{ {
s++; s++;
count /= 1024; count /= 1024;
} }
if (count - floor(count) == 0.0) if (count - floor(count) == 0.0)
{ {
snprintf(buf, bufSize, "%d %sB", (int)count, suffixes[s]); snprintf(buf, bufSize, "%d %sB", (int)count, suffixes[s]);
} }
else else
{ {
snprintf(buf, bufSize, "%.1f %sB", count, suffixes[s]); snprintf(buf, bufSize, "%.1f %sB", count, suffixes[s]);
} }
return std::string(buf); return std::string(buf);
} }
NAMESPACE_END(Grid); }

View File

@ -24,11 +24,109 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#pragma once #ifndef GRID_ALIGNED_ALLOCATOR_H
#define GRID_ALIGNED_ALLOCATOR_H
NAMESPACE_BEGIN(Grid); #ifdef HAVE_MALLOC_MALLOC_H
#include <malloc/malloc.h>
#endif
#ifdef HAVE_MALLOC_H
#include <malloc.h>
#endif
#ifdef HAVE_MM_MALLOC_H
#include <mm_malloc.h>
#endif
namespace Grid {
class PointerCache {
private:
static const int Ncache=8;
static int victim;
typedef struct {
void *address;
size_t bytes;
int valid;
} PointerCacheEntry;
static PointerCacheEntry Entries[Ncache];
public:
static void *Insert(void *ptr,size_t bytes) ;
static void *Lookup(size_t bytes) ;
};
std::string sizeString(size_t bytes);
struct MemoryStats
{
size_t totalAllocated{0}, maxAllocated{0},
currentlyAllocated{0}, totalFreed{0};
};
class MemoryProfiler
{
public:
static MemoryStats *stats;
static bool debug;
};
#define memString(bytes) std::to_string(bytes) + " (" + sizeString(bytes) + ")"
#define profilerDebugPrint \
if (MemoryProfiler::stats)\
{\
auto s = MemoryProfiler::stats;\
std::cout << GridLogDebug << "[Memory debug] Stats " << MemoryProfiler::stats << std::endl;\
std::cout << GridLogDebug << "[Memory debug] total : " << memString(s->totalAllocated) \
<< std::endl;\
std::cout << GridLogDebug << "[Memory debug] max : " << memString(s->maxAllocated) \
<< std::endl;\
std::cout << GridLogDebug << "[Memory debug] current: " << memString(s->currentlyAllocated) \
<< std::endl;\
std::cout << GridLogDebug << "[Memory debug] freed : " << memString(s->totalFreed) \
<< std::endl;\
}
#define profilerAllocate(bytes)\
if (MemoryProfiler::stats)\
{\
auto s = MemoryProfiler::stats;\
s->totalAllocated += (bytes);\
s->currentlyAllocated += (bytes);\
s->maxAllocated = std::max(s->maxAllocated, s->currentlyAllocated);\
}\
if (MemoryProfiler::debug)\
{\
std::cout << GridLogDebug << "[Memory debug] allocating " << memString(bytes) << std::endl;\
profilerDebugPrint;\
}
#define profilerFree(bytes)\
if (MemoryProfiler::stats)\
{\
auto s = MemoryProfiler::stats;\
s->totalFreed += (bytes);\
s->currentlyAllocated -= (bytes);\
}\
if (MemoryProfiler::debug)\
{\
std::cout << GridLogDebug << "[Memory debug] freeing " << memString(bytes) << std::endl;\
profilerDebugPrint;\
}
void check_huge_pages(void *Buf,uint64_t BYTES);
////////////////////////////////////////////////////////////////////
// A lattice of something, but assume the something is SIMDized.
////////////////////////////////////////////////////////////////////
template<typename _Tp> template<typename _Tp>
class alignedAllocator { class alignedAllocator {
@ -53,22 +151,46 @@ public:
{ {
size_type bytes = __n*sizeof(_Tp); size_type bytes = __n*sizeof(_Tp);
profilerAllocate(bytes); profilerAllocate(bytes);
_Tp *ptr = (_Tp*) MemoryManager::CpuAllocate(bytes);
if ( (_Tp*)ptr == (_Tp *) NULL ) { _Tp *ptr = (_Tp *) PointerCache::Lookup(bytes);
printf("Grid CPU Allocator got NULL for %lu bytes\n",(unsigned long) bytes ); // if ( ptr != NULL )
// std::cout << "alignedAllocator "<<__n << " cache hit "<< std::hex << ptr <<std::dec <<std::endl;
//////////////////
// Hack 2MB align; could make option probably doesn't need configurability
//////////////////
//define GRID_ALLOC_ALIGN (128)
#define GRID_ALLOC_ALIGN (2*1024*1024)
#ifdef HAVE_MM_MALLOC_H
if ( ptr == (_Tp *) NULL ) ptr = (_Tp *) _mm_malloc(bytes,GRID_ALLOC_ALIGN);
#else
if ( ptr == (_Tp *) NULL ) ptr = (_Tp *) memalign(GRID_ALLOC_ALIGN,bytes);
#endif
// std::cout << "alignedAllocator " << std::hex << ptr <<std::dec <<std::endl;
// First touch optimise in threaded loop
uint8_t *cp = (uint8_t *)ptr;
#ifdef GRID_OMP
#pragma omp parallel for
#endif
for(size_type n=0;n<bytes;n+=4096){
cp[n]=0;
} }
assert( ( (_Tp*)ptr != (_Tp *)NULL ) );
return ptr; return ptr;
} }
void deallocate(pointer __p, size_type __n) void deallocate(pointer __p, size_type __n) {
{
size_type bytes = __n * sizeof(_Tp); size_type bytes = __n * sizeof(_Tp);
profilerFree(bytes);
MemoryManager::CpuFree((void *)__p,bytes);
}
// FIXME: hack for the copy constructor: it must be avoided to avoid single thread loop profilerFree(bytes);
pointer __freeme = (pointer)PointerCache::Insert((void *)__p,bytes);
#ifdef HAVE_MM_MALLOC_H
if ( __freeme ) _mm_free((void *)__freeme);
#else
if ( __freeme ) free((void *)__freeme);
#endif
}
void construct(pointer __p, const _Tp& __val) { }; void construct(pointer __p, const _Tp& __val) { };
void construct(pointer __p) { }; void construct(pointer __p) { };
void destroy(pointer __p) { }; void destroy(pointer __p) { };
@ -76,11 +198,21 @@ public:
template<typename _Tp> inline bool operator==(const alignedAllocator<_Tp>&, const alignedAllocator<_Tp>&){ return true; } template<typename _Tp> inline bool operator==(const alignedAllocator<_Tp>&, const alignedAllocator<_Tp>&){ return true; }
template<typename _Tp> inline bool operator!=(const alignedAllocator<_Tp>&, const alignedAllocator<_Tp>&){ return false; } template<typename _Tp> inline bool operator!=(const alignedAllocator<_Tp>&, const alignedAllocator<_Tp>&){ return false; }
////////////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////////////////////
// Unified virtual memory // MPI3 : comms must use shm region
////////////////////////////////////////////////////////////////////////////////////// // SHMEM: comms must use symmetric heap
//////////////////////////////////////////////////////////////////////////////////////////
#ifdef GRID_COMMS_SHMEM
extern "C" {
#include <mpp/shmem.h>
extern void * shmem_align(size_t, size_t);
extern void shmem_free(void *);
}
#define PARANOID_SYMMETRIC_HEAP
#endif
template<typename _Tp> template<typename _Tp>
class uvmAllocator { class commAllocator {
public: public:
typedef std::size_t size_type; typedef std::size_t size_type;
typedef std::ptrdiff_t difference_type; typedef std::ptrdiff_t difference_type;
@ -90,133 +222,94 @@ public:
typedef const _Tp& const_reference; typedef const _Tp& const_reference;
typedef _Tp value_type; typedef _Tp value_type;
template<typename _Tp1> struct rebind { typedef uvmAllocator<_Tp1> other; }; template<typename _Tp1> struct rebind { typedef commAllocator<_Tp1> other; };
uvmAllocator() throw() { } commAllocator() throw() { }
uvmAllocator(const uvmAllocator&) throw() { } commAllocator(const commAllocator&) throw() { }
template<typename _Tp1> uvmAllocator(const uvmAllocator<_Tp1>&) throw() { } template<typename _Tp1> commAllocator(const commAllocator<_Tp1>&) throw() { }
~uvmAllocator() throw() { } ~commAllocator() throw() { }
pointer address(reference __x) const { return &__x; } pointer address(reference __x) const { return &__x; }
size_type max_size() const throw() { return size_t(-1) / sizeof(_Tp); } size_type max_size() const throw() { return size_t(-1) / sizeof(_Tp); }
#ifdef GRID_COMMS_SHMEM
pointer allocate(size_type __n, const void* _p= 0) pointer allocate(size_type __n, const void* _p= 0)
{ {
size_type bytes = __n*sizeof(_Tp); size_type bytes = __n*sizeof(_Tp);
profilerAllocate(bytes); profilerAllocate(bytes);
_Tp *ptr = (_Tp*) MemoryManager::SharedAllocate(bytes); #ifdef CRAY
if ( (_Tp*)ptr == (_Tp *) NULL ) { _Tp *ptr = (_Tp *) shmem_align(bytes,64);
printf("Grid Shared Allocator got NULL for %lu bytes\n",(unsigned long) bytes ); #else
_Tp *ptr = (_Tp *) shmem_align(64,bytes);
#endif
#ifdef PARANOID_SYMMETRIC_HEAP
static void * bcast;
static long psync[_SHMEM_REDUCE_SYNC_SIZE];
bcast = (void *) ptr;
shmem_broadcast32((void *)&bcast,(void *)&bcast,sizeof(void *)/4,0,0,0,shmem_n_pes(),psync);
if ( bcast != ptr ) {
std::printf("inconsistent alloc pe %d %lx %lx \n",shmem_my_pe(),bcast,ptr);std::fflush(stdout);
// BACKTRACEFILE();
exit(0);
} }
assert( ( (_Tp*)ptr != (_Tp *)NULL ) ); assert( bcast == (void *) ptr);
#endif
return ptr; return ptr;
} }
void deallocate(pointer __p, size_type __n) {
void deallocate(pointer __p, size_type __n)
{
size_type bytes = __n * sizeof(_Tp);
profilerFree(bytes);
MemoryManager::SharedFree((void *)__p,bytes);
}
void construct(pointer __p, const _Tp& __val) { new((void *)__p) _Tp(__val); };
void construct(pointer __p) { };
void destroy(pointer __p) { };
};
template<typename _Tp> inline bool operator==(const uvmAllocator<_Tp>&, const uvmAllocator<_Tp>&){ return true; }
template<typename _Tp> inline bool operator!=(const uvmAllocator<_Tp>&, const uvmAllocator<_Tp>&){ return false; }
////////////////////////////////////////////////////////////////////////////////
// Device memory
////////////////////////////////////////////////////////////////////////////////
template<typename _Tp>
class devAllocator {
public:
typedef std::size_t size_type;
typedef std::ptrdiff_t difference_type;
typedef _Tp* pointer;
typedef const _Tp* const_pointer;
typedef _Tp& reference;
typedef const _Tp& const_reference;
typedef _Tp value_type;
template<typename _Tp1> struct rebind { typedef devAllocator<_Tp1> other; };
devAllocator() throw() { }
devAllocator(const devAllocator&) throw() { }
template<typename _Tp1> devAllocator(const devAllocator<_Tp1>&) throw() { }
~devAllocator() throw() { }
pointer address(reference __x) const { return &__x; }
size_type max_size() const throw() { return size_t(-1) / sizeof(_Tp); }
pointer allocate(size_type __n, const void* _p= 0)
{
size_type bytes = __n*sizeof(_Tp); size_type bytes = __n*sizeof(_Tp);
profilerFree(bytes);
shmem_free((void *)__p);
}
#else
pointer allocate(size_type __n, const void* _p= 0)
{
size_type bytes = __n*sizeof(_Tp);
profilerAllocate(bytes); profilerAllocate(bytes);
_Tp *ptr = (_Tp*) MemoryManager::AcceleratorAllocate(bytes); #ifdef HAVE_MM_MALLOC_H
if ( (_Tp*)ptr == (_Tp *) NULL ) { _Tp * ptr = (_Tp *) _mm_malloc(bytes, GRID_ALLOC_ALIGN);
printf("Grid Device Allocator got NULL for %lu bytes\n",(unsigned long) bytes ); #else
_Tp * ptr = (_Tp *) memalign(GRID_ALLOC_ALIGN, bytes);
#endif
uint8_t *cp = (uint8_t *)ptr;
if ( ptr ) {
// One touch per 4k page, static OMP loop to catch same loop order
#ifdef GRID_OMP
#pragma omp parallel for schedule(static)
#endif
for(size_type n=0;n<bytes;n+=4096){
cp[n]=0;
}
} }
assert( ( (_Tp*)ptr != (_Tp *)NULL ) );
return ptr; return ptr;
} }
void deallocate(pointer __p, size_type __n) {
size_type bytes = __n*sizeof(_Tp);
void deallocate(pointer __p, size_type __n)
{
size_type bytes = __n * sizeof(_Tp);
profilerFree(bytes); profilerFree(bytes);
MemoryManager::AcceleratorFree((void *)__p,bytes); #ifdef HAVE_MM_MALLOC_H
_mm_free((void *)__p);
#else
free((void *)__p);
#endif
} }
#endif
void construct(pointer __p, const _Tp& __val) { }; void construct(pointer __p, const _Tp& __val) { };
void construct(pointer __p) { }; void construct(pointer __p) { };
void destroy(pointer __p) { }; void destroy(pointer __p) { };
}; };
template<typename _Tp> inline bool operator==(const devAllocator<_Tp>&, const devAllocator<_Tp>&){ return true; } template<typename _Tp> inline bool operator==(const commAllocator<_Tp>&, const commAllocator<_Tp>&){ return true; }
template<typename _Tp> inline bool operator!=(const devAllocator<_Tp>&, const devAllocator<_Tp>&){ return false; } template<typename _Tp> inline bool operator!=(const commAllocator<_Tp>&, const commAllocator<_Tp>&){ return false; }
//////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////
// Template typedefs // Template typedefs
//////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////
template<class T> using hostVector = std::vector<T,alignedAllocator<T> >; // Needs autoview template<class T> using Vector = std::vector<T,alignedAllocator<T> >;
template<class T> using Vector = std::vector<T,uvmAllocator<T> >; // Really want to deprecate template<class T> using commVector = std::vector<T,commAllocator<T> >;
template<class T> using uvmVector = std::vector<T,uvmAllocator<T> >; // auto migrating page template<class T> using Matrix = std::vector<std::vector<T,alignedAllocator<T> > >;
template<class T> using deviceVector = std::vector<T,devAllocator<T> >; // device vector
}; // namespace Grid
/* #endif
template<class T> class vecView
{
protected:
T * data;
uint64_t size;
ViewMode mode;
void * cpu_ptr;
public:
// Rvalue accessor
accelerator_inline T & operator[](size_t i) const { return this->data[i]; };
vecView(Vector<T> &refer_to_me,ViewMode _mode)
{
cpu_ptr = &refer_to_me[0];
size = refer_to_me.size();
mode = _mode;
data =(T *) MemoryManager::ViewOpen(cpu_ptr,
size*sizeof(T),
mode,
AdviseDefault);
}
void ViewClose(void)
{ // Inform the manager
MemoryManager::ViewClose(this->cpu_ptr,this->mode);
}
};
template<class T> vecView<T> VectorView(Vector<T> &vec,ViewMode _mode)
{
vecView<T> ret(vec,_mode); // does the open
return ret; // must be closed
}
#define autoVecView(v_v,v,mode) \
auto v_v = VectorView(v,mode); \
ViewCloser<decltype(v_v)> _autoView##v_v(v_v);
*/
NAMESPACE_END(Grid);

View File

@ -1,4 +0,0 @@
#pragma once
#include <Grid/allocator/MemoryStats.h>
#include <Grid/allocator/MemoryManager.h>
#include <Grid/allocator/AlignedAllocator.h>

View File

@ -1,362 +0,0 @@
#include <Grid/GridCore.h>
NAMESPACE_BEGIN(Grid);
/*Allocation types, saying which pointer cache should be used*/
#define Cpu (0)
#define CpuHuge (1)
#define CpuSmall (2)
#define Acc (3)
#define AccHuge (4)
#define AccSmall (5)
#define Shared (6)
#define SharedHuge (7)
#define SharedSmall (8)
#undef GRID_MM_VERBOSE
uint64_t total_shared;
uint64_t total_device;
uint64_t total_host;;
#if defined(__has_feature)
#if __has_feature(leak_sanitizer)
#define ASAN_LEAK_CHECK
#endif
#endif
#ifdef ASAN_LEAK_CHECK
#include <sanitizer/asan_interface.h>
#include <sanitizer/common_interface_defs.h>
#include <sanitizer/lsan_interface.h>
#define LEAK_CHECK(A) { __lsan_do_recoverable_leak_check(); }
#else
#define LEAK_CHECK(A) { }
#endif
void MemoryManager::DisplayMallinfo(void)
{
#ifdef __linux__
struct mallinfo mi; // really want mallinfo2, but glibc version isn't uniform
mi = mallinfo();
std::cout << "MemoryManager: Total non-mmapped bytes (arena): "<< (size_t)mi.arena<<std::endl;
std::cout << "MemoryManager: # of free chunks (ordblks): "<< (size_t)mi.ordblks<<std::endl;
std::cout << "MemoryManager: # of free fastbin blocks (smblks): "<< (size_t)mi.smblks<<std::endl;
std::cout << "MemoryManager: # of mapped regions (hblks): "<< (size_t)mi.hblks<<std::endl;
std::cout << "MemoryManager: Bytes in mapped regions (hblkhd): "<< (size_t)mi.hblkhd<<std::endl;
std::cout << "MemoryManager: Max. total allocated space (usmblks): "<< (size_t)mi.usmblks<<std::endl;
std::cout << "MemoryManager: Free bytes held in fastbins (fsmblks): "<< (size_t)mi.fsmblks<<std::endl;
std::cout << "MemoryManager: Total allocated space (uordblks): "<< (size_t)mi.uordblks<<std::endl;
std::cout << "MemoryManager: Total free space (fordblks): "<< (size_t)mi.fordblks<<std::endl;
std::cout << "MemoryManager: Topmost releasable block (keepcost): "<< (size_t)mi.keepcost<<std::endl;
#endif
LEAK_CHECK();
}
void MemoryManager::PrintBytes(void)
{
std::cout << " MemoryManager : ------------------------------------ "<<std::endl;
std::cout << " MemoryManager : PrintBytes "<<std::endl;
std::cout << " MemoryManager : ------------------------------------ "<<std::endl;
std::cout << " MemoryManager : "<<(total_shared>>20)<<" shared Mbytes "<<std::endl;
std::cout << " MemoryManager : "<<(total_device>>20)<<" accelerator Mbytes "<<std::endl;
std::cout << " MemoryManager : "<<(total_host>>20) <<" cpu Mbytes "<<std::endl;
uint64_t cacheBytes;
cacheBytes = CacheBytes[Cpu];
std::cout << " MemoryManager : "<<(cacheBytes>>20) <<" cpu cache Mbytes "<<std::endl;
cacheBytes = CacheBytes[Acc];
std::cout << " MemoryManager : "<<(cacheBytes>>20) <<" acc cache Mbytes "<<std::endl;
cacheBytes = CacheBytes[Shared];
std::cout << " MemoryManager : "<<(cacheBytes>>20) <<" shared cache Mbytes "<<std::endl;
#ifdef GRID_CUDA
cuda_mem();
#endif
DisplayMallinfo();
}
uint64_t MemoryManager::DeviceCacheBytes() { return CacheBytes[Acc] + CacheBytes[AccHuge] + CacheBytes[AccSmall]; }
uint64_t MemoryManager::HostCacheBytes() { return CacheBytes[Cpu] + CacheBytes[CpuHuge] + CacheBytes[CpuSmall]; }
//////////////////////////////////////////////////////////////////////
// Data tables for recently freed pooiniter caches
//////////////////////////////////////////////////////////////////////
MemoryManager::AllocationCacheEntry MemoryManager::Entries[MemoryManager::NallocType][MemoryManager::NallocCacheMax];
int MemoryManager::Victim[MemoryManager::NallocType];
int MemoryManager::Ncache[MemoryManager::NallocType] = { 2, 0, 8, 8, 0, 16, 8, 0, 16 };
uint64_t MemoryManager::CacheBytes[MemoryManager::NallocType];
//////////////////////////////////////////////////////////////////////
// Actual allocation and deallocation utils
//////////////////////////////////////////////////////////////////////
void *MemoryManager::AcceleratorAllocate(size_t bytes)
{
total_device+=bytes;
void *ptr = (void *) Lookup(bytes,Acc);
if ( ptr == (void *) NULL ) {
ptr = (void *) acceleratorAllocDevice(bytes);
}
#ifdef GRID_MM_VERBOSE
std::cout <<"AcceleratorAllocate "<<std::endl;
PrintBytes();
#endif
return ptr;
}
void MemoryManager::AcceleratorFree (void *ptr,size_t bytes)
{
total_device-=bytes;
void *__freeme = Insert(ptr,bytes,Acc);
if ( __freeme ) {
acceleratorFreeDevice(__freeme);
}
#ifdef GRID_MM_VERBOSE
std::cout <<"AcceleratorFree "<<std::endl;
PrintBytes();
#endif
}
void *MemoryManager::SharedAllocate(size_t bytes)
{
total_shared+=bytes;
void *ptr = (void *) Lookup(bytes,Shared);
if ( ptr == (void *) NULL ) {
ptr = (void *) acceleratorAllocShared(bytes);
}
#ifdef GRID_MM_VERBOSE
std::cout <<"SharedAllocate "<<std::endl;
PrintBytes();
#endif
return ptr;
}
void MemoryManager::SharedFree (void *ptr,size_t bytes)
{
total_shared-=bytes;
void *__freeme = Insert(ptr,bytes,Shared);
if ( __freeme ) {
acceleratorFreeShared(__freeme);
}
#ifdef GRID_MM_VERBOSE
std::cout <<"SharedFree "<<std::endl;
PrintBytes();
#endif
}
#ifdef GRID_UVM
void *MemoryManager::CpuAllocate(size_t bytes)
{
total_host+=bytes;
void *ptr = (void *) Lookup(bytes,Cpu);
if ( ptr == (void *) NULL ) {
ptr = (void *) acceleratorAllocShared(bytes);
}
#ifdef GRID_MM_VERBOSE
std::cout <<"CpuAllocate "<<std::endl;
PrintBytes();
#endif
return ptr;
}
void MemoryManager::CpuFree (void *_ptr,size_t bytes)
{
total_host-=bytes;
NotifyDeletion(_ptr);
void *__freeme = Insert(_ptr,bytes,Cpu);
if ( __freeme ) {
acceleratorFreeShared(__freeme);
}
#ifdef GRID_MM_VERBOSE
std::cout <<"CpuFree "<<std::endl;
PrintBytes();
#endif
}
#else
void *MemoryManager::CpuAllocate(size_t bytes)
{
total_host+=bytes;
void *ptr = (void *) Lookup(bytes,Cpu);
if ( ptr == (void *) NULL ) {
ptr = (void *) acceleratorAllocCpu(bytes);
}
#ifdef GRID_MM_VERBOSE
std::cout <<"CpuAllocate "<<std::endl;
PrintBytes();
#endif
return ptr;
}
void MemoryManager::CpuFree (void *_ptr,size_t bytes)
{
total_host-=bytes;
NotifyDeletion(_ptr);
void *__freeme = Insert(_ptr,bytes,Cpu);
if ( __freeme ) {
acceleratorFreeCpu(__freeme);
}
#ifdef GRID_MM_VERBOSE
std::cout <<"CpuFree "<<std::endl;
PrintBytes();
#endif
}
#endif
//////////////////////////////////////////
// call only once
//////////////////////////////////////////
void MemoryManager::Init(void)
{
char * str;
int Nc;
str= getenv("GRID_ALLOC_NCACHE_LARGE");
if ( str ) {
Nc = atoi(str);
if ( (Nc>=0) && (Nc < NallocCacheMax)) {
Ncache[Cpu]=Nc;
Ncache[Acc]=Nc;
Ncache[Shared]=Nc;
}
}
str= getenv("GRID_ALLOC_NCACHE_HUGE");
if ( str ) {
Nc = atoi(str);
if ( (Nc>=0) && (Nc < NallocCacheMax)) {
Ncache[CpuHuge]=Nc;
Ncache[AccHuge]=Nc;
Ncache[SharedHuge]=Nc;
}
}
str= getenv("GRID_ALLOC_NCACHE_SMALL");
if ( str ) {
Nc = atoi(str);
if ( (Nc>=0) && (Nc < NallocCacheMax)) {
Ncache[CpuSmall]=Nc;
Ncache[AccSmall]=Nc;
Ncache[SharedSmall]=Nc;
}
}
}
void MemoryManager::InitMessage(void) {
#ifndef GRID_UVM
std::cout << GridLogMessage << "MemoryManager Cache "<< MemoryManager::DeviceMaxBytes <<" bytes "<<std::endl;
#endif
std::cout << GridLogMessage<< "MemoryManager::Init() setting up"<<std::endl;
#ifdef ALLOCATION_CACHE
std::cout << GridLogMessage<< "MemoryManager::Init() cache pool for recent host allocations: SMALL "<<Ncache[CpuSmall]<<" LARGE "<<Ncache[Cpu]<<" HUGE "<<Ncache[CpuHuge]<<std::endl;
std::cout << GridLogMessage<< "MemoryManager::Init() cache pool for recent device allocations: SMALL "<<Ncache[AccSmall]<<" LARGE "<<Ncache[Acc]<<" Huge "<<Ncache[AccHuge]<<std::endl;
std::cout << GridLogMessage<< "MemoryManager::Init() cache pool for recent shared allocations: SMALL "<<Ncache[SharedSmall]<<" LARGE "<<Ncache[Shared]<<" Huge "<<Ncache[SharedHuge]<<std::endl;
#endif
#ifdef GRID_UVM
std::cout << GridLogMessage<< "MemoryManager::Init() Unified memory space"<<std::endl;
#ifdef GRID_CUDA
std::cout << GridLogMessage<< "MemoryManager::Init() Using cudaMallocManaged"<<std::endl;
#endif
#ifdef GRID_HIP
std::cout << GridLogMessage<< "MemoryManager::Init() Using hipMallocManaged"<<std::endl;
#endif
#ifdef GRID_SYCL
std::cout << GridLogMessage<< "MemoryManager::Init() Using SYCL malloc_shared"<<std::endl;
#endif
#else
std::cout << GridLogMessage<< "MemoryManager::Init() Non unified: Caching accelerator data in dedicated memory"<<std::endl;
#ifdef GRID_CUDA
std::cout << GridLogMessage<< "MemoryManager::Init() Using cudaMalloc"<<std::endl;
#endif
#ifdef GRID_HIP
std::cout << GridLogMessage<< "MemoryManager::Init() Using hipMalloc"<<std::endl;
#endif
#ifdef GRID_SYCL
std::cout << GridLogMessage<< "MemoryManager::Init() Using SYCL malloc_device"<<std::endl;
#endif
#endif
}
void *MemoryManager::Insert(void *ptr,size_t bytes,int type)
{
#ifdef ALLOCATION_CACHE
int cache;
if (bytes < GRID_ALLOC_SMALL_LIMIT) cache = type + 2;
else if (bytes >= GRID_ALLOC_HUGE_LIMIT) cache = type + 1;
else cache = type;
return Insert(ptr,bytes,Entries[cache],Ncache[cache],Victim[cache],CacheBytes[cache]);
#else
return ptr;
#endif
}
void *MemoryManager::Insert(void *ptr,size_t bytes,AllocationCacheEntry *entries,int ncache,int &victim, uint64_t &cacheBytes)
{
#ifdef GRID_OMP
assert(omp_in_parallel()==0);
#endif
if (ncache == 0) return ptr;
void * ret = NULL;
int v = -1;
for(int e=0;e<ncache;e++) {
if ( entries[e].valid==0 ) {
v=e;
break;
}
}
if ( v==-1 ) {
v=victim;
victim = (victim+1)%ncache;
}
if ( entries[v].valid ) {
ret = entries[v].address;
cacheBytes -= entries[v].bytes;
entries[v].valid = 0;
entries[v].address = NULL;
entries[v].bytes = 0;
}
entries[v].address=ptr;
entries[v].bytes =bytes;
entries[v].valid =1;
cacheBytes += bytes;
return ret;
}
void *MemoryManager::Lookup(size_t bytes,int type)
{
#ifdef ALLOCATION_CACHE
int cache;
if (bytes < GRID_ALLOC_SMALL_LIMIT) cache = type + 2;
else if (bytes >= GRID_ALLOC_HUGE_LIMIT) cache = type + 1;
else cache = type;
return Lookup(bytes,Entries[cache],Ncache[cache],CacheBytes[cache]);
#else
return NULL;
#endif
}
void *MemoryManager::Lookup(size_t bytes,AllocationCacheEntry *entries,int ncache,uint64_t & cacheBytes)
{
#ifdef GRID_OMP
assert(omp_in_parallel()==0);
#endif
for(int e=0;e<ncache;e++){
if ( entries[e].valid && ( entries[e].bytes == bytes ) ) {
entries[e].valid = 0;
cacheBytes -= entries[e].bytes;
return entries[e].address;
}
}
return NULL;
}
NAMESPACE_END(Grid);

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@ -1,227 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/MemoryManager.h
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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
#include <list>
#include <unordered_map>
NAMESPACE_BEGIN(Grid);
// Move control to configure.ac and Config.h?
#define GRID_ALLOC_SMALL_LIMIT (4096)
#define GRID_ALLOC_HUGE_LIMIT (2147483648)
#define STRINGIFY(x) #x
#define TOSTRING(x) STRINGIFY(x)
#define FILE_LINE __FILE__ ":" TOSTRING(__LINE__)
#define AUDIT(a) MemoryManager::Audit(FILE_LINE)
/*Pinning pages is costly*/
////////////////////////////////////////////////////////////////////////////
// Advise the LatticeAccelerator class
////////////////////////////////////////////////////////////////////////////
enum ViewAdvise {
AdviseDefault = 0x0, // Regular data
AdviseInfrequentUse = 0x1 // Advise that the data is used infrequently. This can
// significantly influence performance of bulk storage.
// AdviseTransient = 0x2, // Data will mostly be read. On some architectures
// enables read-only copies of memory to be kept on
// host and device.
// AdviseAcceleratorWriteDiscard = 0x4 // Field will be written in entirety on device
};
////////////////////////////////////////////////////////////////////////////
// View Access Mode
////////////////////////////////////////////////////////////////////////////
enum ViewMode {
AcceleratorRead = 0x01,
AcceleratorWrite = 0x02,
AcceleratorWriteDiscard = 0x04,
CpuRead = 0x08,
CpuWrite = 0x10,
CpuWriteDiscard = 0x10 // same for now
};
struct MemoryStatus {
uint64_t DeviceBytes;
uint64_t DeviceLRUBytes;
uint64_t DeviceMaxBytes;
uint64_t HostToDeviceBytes;
uint64_t DeviceToHostBytes;
uint64_t HostToDeviceXfer;
uint64_t DeviceToHostXfer;
uint64_t DeviceEvictions;
uint64_t DeviceDestroy;
uint64_t DeviceAllocCacheBytes;
uint64_t HostAllocCacheBytes;
};
class MemoryManager {
private:
////////////////////////////////////////////////////////////
// For caching recently freed allocations
////////////////////////////////////////////////////////////
typedef struct {
void *address;
size_t bytes;
int valid;
} AllocationCacheEntry;
static const int NallocCacheMax=128;
static const int NallocType=9;
static AllocationCacheEntry Entries[NallocType][NallocCacheMax];
static int Victim[NallocType];
static int Ncache[NallocType];
static uint64_t CacheBytes[NallocType];
/////////////////////////////////////////////////
// Free pool
/////////////////////////////////////////////////
static void *Insert(void *ptr,size_t bytes,int type) ;
static void *Lookup(size_t bytes,int type) ;
static void *Insert(void *ptr,size_t bytes,AllocationCacheEntry *entries,int ncache,int &victim,uint64_t &cbytes) ;
static void *Lookup(size_t bytes,AllocationCacheEntry *entries,int ncache,uint64_t &cbytes) ;
public:
static void PrintBytes(void);
static void Audit(std::string s);
static void Init(void);
static void InitMessage(void);
static void *AcceleratorAllocate(size_t bytes);
static void AcceleratorFree (void *ptr,size_t bytes);
static void *SharedAllocate(size_t bytes);
static void SharedFree (void *ptr,size_t bytes);
static void *CpuAllocate(size_t bytes);
static void CpuFree (void *ptr,size_t bytes);
////////////////////////////////////////////////////////
// Footprint tracking
////////////////////////////////////////////////////////
static uint64_t DeviceBytes;
static uint64_t DeviceLRUBytes;
static uint64_t DeviceMaxBytes;
static uint64_t HostToDeviceBytes;
static uint64_t DeviceToHostBytes;
static uint64_t HostToDeviceXfer;
static uint64_t DeviceToHostXfer;
static uint64_t DeviceEvictions;
static uint64_t DeviceDestroy;
static uint64_t DeviceCacheBytes();
static uint64_t HostCacheBytes();
static MemoryStatus GetFootprint(void) {
MemoryStatus stat;
stat.DeviceBytes = DeviceBytes;
stat.DeviceLRUBytes = DeviceLRUBytes;
stat.DeviceMaxBytes = DeviceMaxBytes;
stat.HostToDeviceBytes = HostToDeviceBytes;
stat.DeviceToHostBytes = DeviceToHostBytes;
stat.HostToDeviceXfer = HostToDeviceXfer;
stat.DeviceToHostXfer = DeviceToHostXfer;
stat.DeviceEvictions = DeviceEvictions;
stat.DeviceDestroy = DeviceDestroy;
stat.DeviceAllocCacheBytes = DeviceCacheBytes();
stat.HostAllocCacheBytes = HostCacheBytes();
return stat;
};
private:
#ifndef GRID_UVM
//////////////////////////////////////////////////////////////////////
// Data tables for ViewCache
//////////////////////////////////////////////////////////////////////
typedef std::list<uint64_t> LRU_t;
typedef typename LRU_t::iterator LRUiterator;
typedef struct {
int LRU_valid;
LRUiterator LRU_entry;
uint64_t CpuPtr;
uint64_t AccPtr;
size_t bytes;
uint32_t transient;
uint32_t state;
uint32_t accLock;
uint32_t cpuLock;
} AcceleratorViewEntry;
typedef std::unordered_map<uint64_t,AcceleratorViewEntry> AccViewTable_t;
typedef typename AccViewTable_t::iterator AccViewTableIterator ;
static AccViewTable_t AccViewTable;
static LRU_t LRU;
/////////////////////////////////////////////////
// Device motion
/////////////////////////////////////////////////
static void Create(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
static void EvictVictims(uint64_t bytes); // Frees up <bytes>
static void Evict(AcceleratorViewEntry &AccCache);
static void Flush(AcceleratorViewEntry &AccCache);
static void Clone(AcceleratorViewEntry &AccCache);
static void AccDiscard(AcceleratorViewEntry &AccCache);
static void CpuDiscard(AcceleratorViewEntry &AccCache);
// static void LRUupdate(AcceleratorViewEntry &AccCache);
static void LRUinsert(AcceleratorViewEntry &AccCache);
static void LRUremove(AcceleratorViewEntry &AccCache);
// manage entries in the table
static int EntryPresent(uint64_t CpuPtr);
static void EntryCreate(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
static void EntryErase (uint64_t CpuPtr);
static AccViewTableIterator EntryLookup(uint64_t CpuPtr);
static void EntrySet (uint64_t CpuPtr,AcceleratorViewEntry &entry);
static void AcceleratorViewClose(uint64_t AccPtr);
static uint64_t AcceleratorViewOpen(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
static void CpuViewClose(uint64_t Ptr);
static uint64_t CpuViewOpen(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
#endif
public:
static void DisplayMallinfo(void);
static void NotifyDeletion(void * CpuPtr);
static void Print(void);
static void PrintAll(void);
static void PrintState( void* CpuPtr);
static int isOpen (void* CpuPtr);
static void ViewClose(void* CpuPtr,ViewMode mode);
static void *ViewOpen (void* CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
};
NAMESPACE_END(Grid);

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@ -1,606 +0,0 @@
#include <Grid/GridCore.h>
#ifndef GRID_UVM
NAMESPACE_BEGIN(Grid);
#define MAXLINE 512
static char print_buffer [ MAXLINE ];
#define mprintf(...) snprintf (print_buffer,MAXLINE, __VA_ARGS__ ); std::cout << GridLogMemory << print_buffer << std::endl;
#define dprintf(...) snprintf (print_buffer,MAXLINE, __VA_ARGS__ ); std::cout << GridLogDebug << print_buffer << std::endl;
//#define dprintf(...)
//#define mprintf(...)
////////////////////////////////////////////////////////////
// For caching copies of data on device
////////////////////////////////////////////////////////////
MemoryManager::AccViewTable_t MemoryManager::AccViewTable;
MemoryManager::LRU_t MemoryManager::LRU;
////////////////////////////////////////////////////////
// Footprint tracking
////////////////////////////////////////////////////////
uint64_t MemoryManager::DeviceBytes;
uint64_t MemoryManager::DeviceLRUBytes;
uint64_t MemoryManager::DeviceMaxBytes = 1024*1024*128;
uint64_t MemoryManager::HostToDeviceBytes;
uint64_t MemoryManager::DeviceToHostBytes;
uint64_t MemoryManager::HostToDeviceXfer;
uint64_t MemoryManager::DeviceToHostXfer;
uint64_t MemoryManager::DeviceEvictions;
uint64_t MemoryManager::DeviceDestroy;
////////////////////////////////////
// Priority ordering for unlocked entries
// Empty
// CpuDirty
// Consistent
// AccDirty
////////////////////////////////////
#define Empty (0x0) /*Entry unoccupied */
#define CpuDirty (0x1) /*CPU copy is golden, Acc buffer MAY not be allocated*/
#define Consistent (0x2) /*ACC copy AND CPU copy are valid */
#define AccDirty (0x4) /*ACC copy is golden */
#define EvictNext (0x8) /*Priority for eviction*/
/////////////////////////////////////////////////
// Mechanics of data table maintenance
/////////////////////////////////////////////////
int MemoryManager::EntryPresent(uint64_t CpuPtr)
{
if(AccViewTable.empty()) return 0;
auto count = AccViewTable.count(CpuPtr); assert((count==0)||(count==1));
return count;
}
void MemoryManager::EntryCreate(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint)
{
assert(!EntryPresent(CpuPtr));
AcceleratorViewEntry AccCache;
AccCache.CpuPtr = CpuPtr;
AccCache.AccPtr = (uint64_t)NULL;
AccCache.bytes = bytes;
AccCache.state = CpuDirty;
AccCache.LRU_valid=0;
AccCache.transient=0;
AccCache.accLock=0;
AccCache.cpuLock=0;
AccViewTable[CpuPtr] = AccCache;
}
MemoryManager::AccViewTableIterator MemoryManager::EntryLookup(uint64_t CpuPtr)
{
assert(EntryPresent(CpuPtr));
auto AccCacheIterator = AccViewTable.find(CpuPtr);
assert(AccCacheIterator!=AccViewTable.end());
return AccCacheIterator;
}
void MemoryManager::EntryErase(uint64_t CpuPtr)
{
auto AccCache = EntryLookup(CpuPtr);
AccViewTable.erase(CpuPtr);
}
void MemoryManager::LRUinsert(AcceleratorViewEntry &AccCache)
{
assert(AccCache.LRU_valid==0);
if (AccCache.transient) {
LRU.push_back(AccCache.CpuPtr);
AccCache.LRU_entry = --LRU.end();
} else {
LRU.push_front(AccCache.CpuPtr);
AccCache.LRU_entry = LRU.begin();
}
AccCache.LRU_valid = 1;
DeviceLRUBytes+=AccCache.bytes;
}
void MemoryManager::LRUremove(AcceleratorViewEntry &AccCache)
{
assert(AccCache.LRU_valid==1);
LRU.erase(AccCache.LRU_entry);
AccCache.LRU_valid = 0;
DeviceLRUBytes-=AccCache.bytes;
}
/////////////////////////////////////////////////
// Accelerator cache motion & consistency logic
/////////////////////////////////////////////////
void MemoryManager::AccDiscard(AcceleratorViewEntry &AccCache)
{
///////////////////////////////////////////////////////////
// Remove from Accelerator, remove entry, without flush
// Cannot be locked. If allocated Must be in LRU pool.
///////////////////////////////////////////////////////////
assert(AccCache.state!=Empty);
dprintf("MemoryManager: Discard(%lx) %lx",(uint64_t)AccCache.CpuPtr,(uint64_t)AccCache.AccPtr);
assert(AccCache.accLock==0);
assert(AccCache.cpuLock==0);
assert(AccCache.CpuPtr!=(uint64_t)NULL);
if(AccCache.AccPtr) {
AcceleratorFree((void *)AccCache.AccPtr,AccCache.bytes);
DeviceDestroy++;
DeviceBytes -=AccCache.bytes;
LRUremove(AccCache);
AccCache.AccPtr=(uint64_t) NULL;
dprintf("MemoryManager: Free(%lx) LRU %ld Total %ld",(uint64_t)AccCache.AccPtr,DeviceLRUBytes,DeviceBytes);
}
uint64_t CpuPtr = AccCache.CpuPtr;
EntryErase(CpuPtr);
}
void MemoryManager::Evict(AcceleratorViewEntry &AccCache)
{
///////////////////////////////////////////////////////////////////////////
// Make CPU consistent, remove from Accelerator, remove from LRU, LEAVE CPU only entry
// Cannot be acclocked. If allocated must be in LRU pool.
//
// Nov 2022... Felix issue: Allocating two CpuPtrs, can have an entry in LRU-q with CPUlock.
// and require to evict the AccPtr copy. Eviction was a mistake in CpuViewOpen
// but there is a weakness where CpuLock entries are attempted for erase
// Take these OUT LRU queue when CPU locked?
// Cannot take out the table as cpuLock data is important.
///////////////////////////////////////////////////////////////////////////
assert(AccCache.state!=Empty);
mprintf("MemoryManager: Evict CpuPtr %lx AccPtr %lx cpuLock %ld accLock %ld",
(uint64_t)AccCache.CpuPtr,(uint64_t)AccCache.AccPtr,
(uint64_t)AccCache.cpuLock,(uint64_t)AccCache.accLock);
if (AccCache.accLock!=0) return;
if (AccCache.cpuLock!=0) return;
if(AccCache.state==AccDirty) {
Flush(AccCache);
}
if(AccCache.AccPtr) {
AcceleratorFree((void *)AccCache.AccPtr,AccCache.bytes);
LRUremove(AccCache);
AccCache.AccPtr=(uint64_t)NULL;
AccCache.state=CpuDirty; // CPU primary now
DeviceBytes -=AccCache.bytes;
dprintf("MemoryManager: Free(AccPtr %lx) footprint now %ld ",(uint64_t)AccCache.AccPtr,DeviceBytes);
}
// uint64_t CpuPtr = AccCache.CpuPtr;
DeviceEvictions++;
// EntryErase(CpuPtr);
}
void MemoryManager::Flush(AcceleratorViewEntry &AccCache)
{
assert(AccCache.state==AccDirty);
assert(AccCache.cpuLock==0);
assert(AccCache.accLock==0);
assert(AccCache.AccPtr!=(uint64_t)NULL);
assert(AccCache.CpuPtr!=(uint64_t)NULL);
acceleratorCopyFromDevice((void *)AccCache.AccPtr,(void *)AccCache.CpuPtr,AccCache.bytes);
mprintf("MemoryManager: acceleratorCopyFromDevice Flush size %ld AccPtr %lx -> CpuPtr %lx",(uint64_t)AccCache.bytes,(uint64_t)AccCache.AccPtr,(uint64_t)AccCache.CpuPtr); fflush(stdout);
DeviceToHostBytes+=AccCache.bytes;
DeviceToHostXfer++;
AccCache.state=Consistent;
}
void MemoryManager::Clone(AcceleratorViewEntry &AccCache)
{
assert(AccCache.state==CpuDirty);
assert(AccCache.cpuLock==0);
assert(AccCache.accLock==0);
assert(AccCache.CpuPtr!=(uint64_t)NULL);
if(AccCache.AccPtr==(uint64_t)NULL){
AccCache.AccPtr=(uint64_t)AcceleratorAllocate(AccCache.bytes);
DeviceBytes+=AccCache.bytes;
}
mprintf("MemoryManager: acceleratorCopyToDevice Clone size %ld AccPtr %lx <- CpuPtr %lx",
(uint64_t)AccCache.bytes,
(uint64_t)AccCache.AccPtr,(uint64_t)AccCache.CpuPtr); fflush(stdout);
acceleratorCopyToDevice((void *)AccCache.CpuPtr,(void *)AccCache.AccPtr,AccCache.bytes);
HostToDeviceBytes+=AccCache.bytes;
HostToDeviceXfer++;
AccCache.state=Consistent;
}
void MemoryManager::CpuDiscard(AcceleratorViewEntry &AccCache)
{
assert(AccCache.state!=Empty);
assert(AccCache.cpuLock==0);
assert(AccCache.accLock==0);
assert(AccCache.CpuPtr!=(uint64_t)NULL);
if(AccCache.AccPtr==(uint64_t)NULL){
AccCache.AccPtr=(uint64_t)AcceleratorAllocate(AccCache.bytes);
DeviceBytes+=AccCache.bytes;
}
AccCache.state=AccDirty;
}
/////////////////////////////////////////////////////////////////////////////////
// View management
/////////////////////////////////////////////////////////////////////////////////
void MemoryManager::ViewClose(void* Ptr,ViewMode mode)
{
if( (mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard) ){
dprintf("AcceleratorViewClose %lx",(uint64_t)Ptr);
AcceleratorViewClose((uint64_t)Ptr);
} else if( (mode==CpuRead)||(mode==CpuWrite)){
CpuViewClose((uint64_t)Ptr);
} else {
assert(0);
}
}
void *MemoryManager::ViewOpen(void* _CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint)
{
uint64_t CpuPtr = (uint64_t)_CpuPtr;
if( (mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard) ){
dprintf("AcceleratorViewOpen %lx",(uint64_t)CpuPtr);
return (void *) AcceleratorViewOpen(CpuPtr,bytes,mode,hint);
} else if( (mode==CpuRead)||(mode==CpuWrite)){
return (void *)CpuViewOpen(CpuPtr,bytes,mode,hint);
} else {
assert(0);
return NULL;
}
}
void MemoryManager::EvictVictims(uint64_t bytes)
{
if(bytes>=DeviceMaxBytes) {
printf("EvictVictims bytes %ld DeviceMaxBytes %ld\n",bytes,DeviceMaxBytes);
}
assert(bytes<DeviceMaxBytes);
while(bytes+DeviceLRUBytes > DeviceMaxBytes){
if ( DeviceLRUBytes > 0){
assert(LRU.size()>0);
uint64_t victim = LRU.back(); // From the LRU
auto AccCacheIterator = EntryLookup(victim);
auto & AccCache = AccCacheIterator->second;
Evict(AccCache);
} else {
return;
}
}
}
uint64_t MemoryManager::AcceleratorViewOpen(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint)
{
////////////////////////////////////////////////////////////////////////////
// Find if present, otherwise get or force an empty
////////////////////////////////////////////////////////////////////////////
if ( EntryPresent(CpuPtr)==0 ){
EntryCreate(CpuPtr,bytes,mode,hint);
}
auto AccCacheIterator = EntryLookup(CpuPtr);
auto & AccCache = AccCacheIterator->second;
if (!AccCache.AccPtr) {
EvictVictims(bytes);
}
assert((mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard));
assert(AccCache.cpuLock==0); // Programming error
if(AccCache.state!=Empty) {
dprintf("ViewOpen found entry %lx %lx : sizes %ld %ld accLock %ld",
(uint64_t)AccCache.CpuPtr,
(uint64_t)CpuPtr,
(uint64_t)AccCache.bytes,
(uint64_t)bytes,
(uint64_t)AccCache.accLock);
assert(AccCache.CpuPtr == CpuPtr);
assert(AccCache.bytes ==bytes);
}
/*
* State transitions and actions
*
* Action State StateNext Flush Clone
*
* AccRead Empty Consistent - Y
* AccWrite Empty AccDirty - Y
* AccRead CpuDirty Consistent - Y
* AccWrite CpuDirty AccDirty - Y
* AccRead Consistent Consistent - -
* AccWrite Consistent AccDirty - -
* AccRead AccDirty AccDirty - -
* AccWrite AccDirty AccDirty - -
*/
if(AccCache.state==Empty) {
assert(AccCache.LRU_valid==0);
AccCache.CpuPtr = CpuPtr;
AccCache.AccPtr = (uint64_t)NULL;
AccCache.bytes = bytes;
AccCache.state = CpuDirty; // Cpu starts primary
if(mode==AcceleratorWriteDiscard){
CpuDiscard(AccCache);
AccCache.state = AccDirty; // Empty + AcceleratorWrite=> AccDirty
} else if(mode==AcceleratorWrite){
Clone(AccCache);
AccCache.state = AccDirty; // Empty + AcceleratorWrite=> AccDirty
} else {
Clone(AccCache);
AccCache.state = Consistent; // Empty + AccRead => Consistent
}
AccCache.accLock= 1;
dprintf("Copied Empty entry into device accLock= %d",AccCache.accLock);
} else if(AccCache.state==CpuDirty ){
if(mode==AcceleratorWriteDiscard) {
CpuDiscard(AccCache);
AccCache.state = AccDirty; // CpuDirty + AcceleratorWrite=> AccDirty
} else if(mode==AcceleratorWrite) {
Clone(AccCache);
AccCache.state = AccDirty; // CpuDirty + AcceleratorWrite=> AccDirty
} else {
Clone(AccCache);
AccCache.state = Consistent; // CpuDirty + AccRead => Consistent
}
AccCache.accLock++;
dprintf("CpuDirty entry into device ++accLock= %d",AccCache.accLock);
} else if(AccCache.state==Consistent) {
if((mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard))
AccCache.state = AccDirty; // Consistent + AcceleratorWrite=> AccDirty
else
AccCache.state = Consistent; // Consistent + AccRead => Consistent
AccCache.accLock++;
dprintf("Consistent entry into device ++accLock= %d",AccCache.accLock);
} else if(AccCache.state==AccDirty) {
if((mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard))
AccCache.state = AccDirty; // AccDirty + AcceleratorWrite=> AccDirty
else
AccCache.state = AccDirty; // AccDirty + AccRead => AccDirty
AccCache.accLock++;
dprintf("AccDirty entry ++accLock= %d",AccCache.accLock);
} else {
assert(0);
}
assert(AccCache.accLock>0);
// If view is opened on device must remove from LRU
if(AccCache.LRU_valid==1){
// must possibly remove from LRU as now locked on GPU
dprintf("AccCache entry removed from LRU ");
LRUremove(AccCache);
}
int transient =hint;
AccCache.transient= transient? EvictNext : 0;
return AccCache.AccPtr;
}
////////////////////////////////////
// look up & decrement lock count
////////////////////////////////////
void MemoryManager::AcceleratorViewClose(uint64_t CpuPtr)
{
auto AccCacheIterator = EntryLookup(CpuPtr);
auto & AccCache = AccCacheIterator->second;
assert(AccCache.cpuLock==0);
assert(AccCache.accLock>0);
AccCache.accLock--;
// Move to LRU queue if not locked and close on device
if(AccCache.accLock==0) {
dprintf("AccleratorViewClose %lx AccLock decremented to %ld move to LRU queue",(uint64_t)CpuPtr,(uint64_t)AccCache.accLock);
LRUinsert(AccCache);
} else {
dprintf("AccleratorViewClose %lx AccLock decremented to %ld",(uint64_t)CpuPtr,(uint64_t)AccCache.accLock);
}
}
void MemoryManager::CpuViewClose(uint64_t CpuPtr)
{
auto AccCacheIterator = EntryLookup(CpuPtr);
auto & AccCache = AccCacheIterator->second;
assert(AccCache.cpuLock>0);
assert(AccCache.accLock==0);
AccCache.cpuLock--;
}
/*
* Action State StateNext Flush Clone
*
* CpuRead Empty CpuDirty - -
* CpuWrite Empty CpuDirty - -
* CpuRead CpuDirty CpuDirty - -
* CpuWrite CpuDirty CpuDirty - -
* CpuRead Consistent Consistent - -
* CpuWrite Consistent CpuDirty - -
* CpuRead AccDirty Consistent Y -
* CpuWrite AccDirty CpuDirty Y -
*/
uint64_t MemoryManager::CpuViewOpen(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise transient)
{
////////////////////////////////////////////////////////////////////////////
// Find if present, otherwise get or force an empty
////////////////////////////////////////////////////////////////////////////
if ( EntryPresent(CpuPtr)==0 ){
EntryCreate(CpuPtr,bytes,mode,transient);
}
auto AccCacheIterator = EntryLookup(CpuPtr);
auto & AccCache = AccCacheIterator->second;
// CPU doesn't need to free space
// if (!AccCache.AccPtr) {
// EvictVictims(bytes);
// }
assert((mode==CpuRead)||(mode==CpuWrite));
assert(AccCache.accLock==0); // Programming error
if(AccCache.state!=Empty) {
assert(AccCache.CpuPtr == CpuPtr);
assert(AccCache.bytes==bytes);
}
if(AccCache.state==Empty) {
AccCache.CpuPtr = CpuPtr;
AccCache.AccPtr = (uint64_t)NULL;
AccCache.bytes = bytes;
AccCache.state = CpuDirty; // Empty + CpuRead/CpuWrite => CpuDirty
AccCache.accLock= 0;
AccCache.cpuLock= 1;
} else if(AccCache.state==CpuDirty ){
// AccPtr dont care, deferred allocate
AccCache.state = CpuDirty; // CpuDirty +CpuRead/CpuWrite => CpuDirty
AccCache.cpuLock++;
} else if(AccCache.state==Consistent) {
assert(AccCache.AccPtr != (uint64_t)NULL);
if(mode==CpuWrite)
AccCache.state = CpuDirty; // Consistent +CpuWrite => CpuDirty
else
AccCache.state = Consistent; // Consistent +CpuRead => Consistent
AccCache.cpuLock++;
} else if(AccCache.state==AccDirty) {
assert(AccCache.AccPtr != (uint64_t)NULL);
Flush(AccCache);
if(mode==CpuWrite) AccCache.state = CpuDirty; // AccDirty +CpuWrite => CpuDirty, Flush
else AccCache.state = Consistent; // AccDirty +CpuRead => Consistent, Flush
AccCache.cpuLock++;
} else {
assert(0); // should be unreachable
}
AccCache.transient= transient? EvictNext : 0;
return AccCache.CpuPtr;
}
void MemoryManager::NotifyDeletion(void *_ptr)
{
// Look up in ViewCache
uint64_t ptr = (uint64_t)_ptr;
if(EntryPresent(ptr)) {
auto e = EntryLookup(ptr);
AccDiscard(e->second);
}
}
void MemoryManager::Print(void)
{
PrintBytes();
std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
std::cout << GridLogMessage << "Memory Manager " << std::endl;
std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
std::cout << GridLogMessage << DeviceBytes << " bytes allocated on device " << std::endl;
std::cout << GridLogMessage << DeviceLRUBytes<< " bytes evictable on device " << std::endl;
std::cout << GridLogMessage << DeviceMaxBytes<< " bytes max on device " << std::endl;
std::cout << GridLogMessage << HostToDeviceXfer << " transfers to device " << std::endl;
std::cout << GridLogMessage << DeviceToHostXfer << " transfers from device " << std::endl;
std::cout << GridLogMessage << HostToDeviceBytes<< " bytes transfered to device " << std::endl;
std::cout << GridLogMessage << DeviceToHostBytes<< " bytes transfered from device " << std::endl;
std::cout << GridLogMessage << DeviceEvictions << " Evictions from device " << std::endl;
std::cout << GridLogMessage << DeviceDestroy << " Destroyed vectors on device " << std::endl;
std::cout << GridLogMessage << AccViewTable.size()<< " vectors " << LRU.size()<<" evictable"<< std::endl;
acceleratorMem();
std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
}
void MemoryManager::PrintAll(void)
{
Print();
std::cout << GridLogMessage << std::endl;
std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
std::cout << GridLogMessage << "CpuAddr\t\tAccAddr\t\tState\t\tcpuLock\taccLock\tLRU_valid "<<std::endl;
std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
for(auto it=AccViewTable.begin();it!=AccViewTable.end();it++){
auto &AccCache = it->second;
std::string str;
if ( AccCache.state==Empty ) str = std::string("Empty");
if ( AccCache.state==CpuDirty ) str = std::string("CpuDirty");
if ( AccCache.state==AccDirty ) str = std::string("AccDirty");
if ( AccCache.state==Consistent)str = std::string("Consistent");
std::cout << GridLogMessage << "0x"<<std::hex<<AccCache.CpuPtr<<std::dec
<< "\t0x"<<std::hex<<AccCache.AccPtr<<std::dec<<"\t" <<str
<< "\t" << AccCache.cpuLock
<< "\t" << AccCache.accLock
<< "\t" << AccCache.LRU_valid<<std::endl;
}
std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
};
int MemoryManager::isOpen (void* _CpuPtr)
{
uint64_t CpuPtr = (uint64_t)_CpuPtr;
if ( EntryPresent(CpuPtr) ){
auto AccCacheIterator = EntryLookup(CpuPtr);
auto & AccCache = AccCacheIterator->second;
return AccCache.cpuLock+AccCache.accLock;
} else {
return 0;
}
}
void MemoryManager::Audit(std::string s)
{
uint64_t CpuBytes=0;
uint64_t AccBytes=0;
uint64_t LruBytes1=0;
uint64_t LruBytes2=0;
uint64_t LruCnt=0;
std::cout << " Memory Manager::Audit() from "<<s<<std::endl;
for(auto it=LRU.begin();it!=LRU.end();it++){
uint64_t cpuPtr = *it;
assert(EntryPresent(cpuPtr));
auto AccCacheIterator = EntryLookup(cpuPtr);
auto & AccCache = AccCacheIterator->second;
LruBytes2+=AccCache.bytes;
assert(AccCache.LRU_valid==1);
assert(AccCache.LRU_entry==it);
}
std::cout << " Memory Manager::Audit() LRU queue matches table entries "<<std::endl;
for(auto it=AccViewTable.begin();it!=AccViewTable.end();it++){
auto &AccCache = it->second;
std::string str;
if ( AccCache.state==Empty ) str = std::string("Empty");
if ( AccCache.state==CpuDirty ) str = std::string("CpuDirty");
if ( AccCache.state==AccDirty ) str = std::string("AccDirty");
if ( AccCache.state==Consistent)str = std::string("Consistent");
CpuBytes+=AccCache.bytes;
if( AccCache.AccPtr ) AccBytes+=AccCache.bytes;
if( AccCache.LRU_valid ) LruBytes1+=AccCache.bytes;
if( AccCache.LRU_valid ) LruCnt++;
if ( AccCache.cpuLock || AccCache.accLock ) {
assert(AccCache.LRU_valid==0);
std::cout << GridLogError << s<< "\n\t 0x"<<std::hex<<AccCache.CpuPtr<<std::dec
<< "\t0x"<<std::hex<<AccCache.AccPtr<<std::dec<<"\t" <<str
<< "\t cpuLock " << AccCache.cpuLock
<< "\t accLock " << AccCache.accLock
<< "\t LRUvalid " << AccCache.LRU_valid<<std::endl;
}
assert( AccCache.cpuLock== 0 ) ;
assert( AccCache.accLock== 0 ) ;
}
std::cout << " Memory Manager::Audit() no locked table entries "<<std::endl;
assert(LruBytes1==LruBytes2);
assert(LruBytes1==DeviceLRUBytes);
std::cout << " Memory Manager::Audit() evictable bytes matches sum over table "<<std::endl;
assert(AccBytes==DeviceBytes);
std::cout << " Memory Manager::Audit() device bytes matches sum over table "<<std::endl;
assert(LruCnt == LRU.size());
std::cout << " Memory Manager::Audit() LRU entry count matches "<<std::endl;
}
void MemoryManager::PrintState(void* _CpuPtr)
{
uint64_t CpuPtr = (uint64_t)_CpuPtr;
if ( EntryPresent(CpuPtr) ){
auto AccCacheIterator = EntryLookup(CpuPtr);
auto & AccCache = AccCacheIterator->second;
std::string str;
if ( AccCache.state==Empty ) str = std::string("Empty");
if ( AccCache.state==CpuDirty ) str = std::string("CpuDirty");
if ( AccCache.state==AccDirty ) str = std::string("AccDirty");
if ( AccCache.state==Consistent)str = std::string("Consistent");
if ( AccCache.state==EvictNext) str = std::string("EvictNext");
std::cout << GridLogMessage << "CpuAddr\t\tAccAddr\t\tState\t\tcpuLock\taccLock\tLRU_valid "<<std::endl;
std::cout << GridLogMessage << "\tx"<<std::hex<<AccCache.CpuPtr<<std::dec
<< "\tx"<<std::hex<<AccCache.AccPtr<<std::dec<<"\t" <<str
<< "\t" << AccCache.cpuLock
<< "\t" << AccCache.accLock
<< "\t" << AccCache.LRU_valid<<std::endl;
} else {
std::cout << GridLogMessage << "No Entry in AccCache table." << std::endl;
}
}
NAMESPACE_END(Grid);
#endif

View File

@ -1,31 +0,0 @@
#include <Grid/GridCore.h>
#ifdef GRID_UVM
NAMESPACE_BEGIN(Grid);
/////////////////////////////////////////////////////////////////////////////////
// View management is 1:1 address space mapping
/////////////////////////////////////////////////////////////////////////////////
uint64_t MemoryManager::DeviceBytes;
uint64_t MemoryManager::DeviceLRUBytes;
uint64_t MemoryManager::DeviceMaxBytes = 1024*1024*128;
uint64_t MemoryManager::HostToDeviceBytes;
uint64_t MemoryManager::DeviceToHostBytes;
uint64_t MemoryManager::HostToDeviceXfer;
uint64_t MemoryManager::DeviceToHostXfer;
uint64_t MemoryManager::DeviceEvictions;
uint64_t MemoryManager::DeviceDestroy;
void MemoryManager::Audit(std::string s){};
void MemoryManager::ViewClose(void* AccPtr,ViewMode mode){};
void *MemoryManager::ViewOpen(void* CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint){ return CpuPtr; };
int MemoryManager::isOpen (void* CpuPtr) { return 0;}
void MemoryManager::PrintState(void* CpuPtr)
{
std::cout << GridLogMessage << "Host<->Device memory movement not currently managed by Grid." << std::endl;
};
void MemoryManager::Print(void){};
void MemoryManager::PrintAll(void){};
void MemoryManager::NotifyDeletion(void *ptr){};
NAMESPACE_END(Grid);
#endif

View File

@ -1,95 +0,0 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/MemoryStats.h
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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
NAMESPACE_BEGIN(Grid);
std::string sizeString(size_t bytes);
struct MemoryStats
{
size_t totalAllocated{0}, maxAllocated{0},
currentlyAllocated{0}, totalFreed{0};
};
class MemoryProfiler
{
public:
static MemoryStats *stats;
static bool debug;
};
#define memString(bytes) std::to_string(bytes) + " (" + sizeString(bytes) + ")"
#define profilerDebugPrint \
if (MemoryProfiler::stats) \
{ \
auto s = MemoryProfiler::stats; \
std::cout << GridLogDebug << "[Memory debug] Stats " << MemoryProfiler::stats << std::endl; \
std::cout << GridLogDebug << "[Memory debug] total : " << memString(s->totalAllocated) \
<< std::endl; \
std::cout << GridLogDebug << "[Memory debug] max : " << memString(s->maxAllocated) \
<< std::endl; \
std::cout << GridLogDebug << "[Memory debug] current: " << memString(s->currentlyAllocated) \
<< std::endl; \
std::cout << GridLogDebug << "[Memory debug] freed : " << memString(s->totalFreed) \
<< std::endl; \
}
#define profilerAllocate(bytes) \
if (MemoryProfiler::stats) \
{ \
auto s = MemoryProfiler::stats; \
s->totalAllocated += (bytes); \
s->currentlyAllocated += (bytes); \
s->maxAllocated = std::max(s->maxAllocated, s->currentlyAllocated); \
} \
if (MemoryProfiler::debug) \
{ \
std::cout << GridLogDebug << "[Memory debug] allocating " << memString(bytes) << std::endl; \
profilerDebugPrint; \
}
#define profilerFree(bytes) \
if (MemoryProfiler::stats) \
{ \
auto s = MemoryProfiler::stats; \
s->totalFreed += (bytes); \
s->currentlyAllocated -= (bytes); \
} \
if (MemoryProfiler::debug) \
{ \
std::cout << GridLogDebug << "[Memory debug] freeing " << memString(bytes) << std::endl; \
profilerDebugPrint; \
}
void check_huge_pages(void *Buf,uint64_t BYTES);
NAMESPACE_END(Grid);

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,8 +23,8 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_CARTESIAN_H #ifndef GRID_CARTESIAN_H
#define GRID_CARTESIAN_H #define GRID_CARTESIAN_H

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -25,268 +25,268 @@
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_CARTESIAN_BASE_H #ifndef GRID_CARTESIAN_BASE_H
#define GRID_CARTESIAN_BASE_H #define GRID_CARTESIAN_BASE_H
NAMESPACE_BEGIN(Grid);
////////////////////////////////////////////////////////////////////// namespace Grid{
// Commicator provides information on the processor grid
////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////
// unsigned long _ndimension; // Commicator provides information on the processor grid
// Coordinate _processors; // processor grid //////////////////////////////////////////////////////////////////////
// int _processor; // linear processor rank // unsigned long _ndimension;
// Coordinate _processor_coor; // linear processor rank // std::vector<int> _processors; // processor grid
////////////////////////////////////////////////////////////////////// // int _processor; // linear processor rank
class GridBase : public CartesianCommunicator , public GridThread { // std::vector<int> _processor_coor; // linear processor rank
//////////////////////////////////////////////////////////////////////
class GridBase : public CartesianCommunicator , public GridThread {
public: public:
int dummy; int dummy;
// Give Lattice access // Give Lattice access
template<class object> friend class Lattice; template<class object> friend class Lattice;
GridBase(const Coordinate & processor_grid) : CartesianCommunicator(processor_grid) { LocallyPeriodic=0;}; GridBase(const std::vector<int> & processor_grid) : CartesianCommunicator(processor_grid) {};
GridBase(const std::vector<int> & processor_grid,
const CartesianCommunicator &parent,
int &split_rank)
: CartesianCommunicator(processor_grid,parent,split_rank) {};
GridBase(const std::vector<int> & processor_grid,
const CartesianCommunicator &parent)
: CartesianCommunicator(processor_grid,parent,dummy) {};
GridBase(const Coordinate & processor_grid, virtual ~GridBase() = default;
const CartesianCommunicator &parent,
int &split_rank)
: CartesianCommunicator(processor_grid,parent,split_rank) {LocallyPeriodic=0;};
GridBase(const Coordinate & processor_grid,
const CartesianCommunicator &parent)
: CartesianCommunicator(processor_grid,parent,dummy) {LocallyPeriodic=0;};
virtual ~GridBase() = default; // Physics Grid information.
std::vector<int> _simd_layout;// Which dimensions get relayed out over simd lanes.
std::vector<int> _fdimensions;// (full) Global dimensions of array prior to cb removal
std::vector<int> _gdimensions;// Global dimensions of array after cb removal
std::vector<int> _ldimensions;// local dimensions of array with processor images removed
std::vector<int> _rdimensions;// Reduced local dimensions with simd lane images and processor images removed
std::vector<int> _ostride; // Outer stride for each dimension
std::vector<int> _istride; // Inner stride i.e. within simd lane
int _osites; // _isites*_osites = product(dimensions).
int _isites;
int _fsites; // _isites*_osites = product(dimensions).
int _gsites;
std::vector<int> _slice_block;// subslice information
std::vector<int> _slice_stride;
std::vector<int> _slice_nblock;
// Physics Grid information. std::vector<int> _lstart; // local start of array in gcoors _processor_coor[d]*_ldimensions[d]
Coordinate _simd_layout;// Which dimensions get relayed out over simd lanes. std::vector<int> _lend ; // local end of array in gcoors _processor_coor[d]*_ldimensions[d]+_ldimensions_[d]-1
Coordinate _fdimensions;// (full) Global dimensions of array prior to cb removal
Coordinate _gdimensions;// Global dimensions of array after cb removal
Coordinate _ldimensions;// local dimensions of array with processor images removed
Coordinate _rdimensions;// Reduced local dimensions with simd lane images and processor images removed
Coordinate _ostride; // Outer stride for each dimension
Coordinate _istride; // Inner stride i.e. within simd lane
int _osites; // _isites*_osites = product(dimensions).
int _isites;
int64_t _fsites; // _isites*_osites = product(dimensions).
int64_t _gsites;
Coordinate _slice_block;// subslice information
Coordinate _slice_stride;
Coordinate _slice_nblock;
Coordinate _lstart; // local start of array in gcoors _processor_coor[d]*_ldimensions[d] bool _isCheckerBoarded;
Coordinate _lend ; // local end of array in gcoors _processor_coor[d]*_ldimensions[d]+_ldimensions_[d]-1
bool _isCheckerBoarded;
int LocallyPeriodic;
Coordinate _checker_dim_mask;
int _checker_dim;
public: public:
//////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////
// Checkerboarding interface is virtual and overridden by // Checkerboarding interface is virtual and overridden by
// GridCartesian / GridRedBlackCartesian // GridCartesian / GridRedBlackCartesian
//////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////
virtual int CheckerBoarded(int dim) =0; virtual int CheckerBoarded(int dim)=0;
virtual int CheckerBoard(const Coordinate &site)=0; virtual int CheckerBoard(const std::vector<int> &site)=0;
virtual int CheckerBoardDestination(int source_cb,int shift,int dim)=0; virtual int CheckerBoardDestination(int source_cb,int shift,int dim)=0;
virtual int CheckerBoardShift(int source_cb,int dim,int shift,int osite)=0; virtual int CheckerBoardShift(int source_cb,int dim,int shift,int osite)=0;
virtual int CheckerBoardShiftForCB(int source_cb,int dim,int shift,int cb)=0; virtual int CheckerBoardShiftForCB(int source_cb,int dim,int shift,int cb)=0;
virtual int CheckerBoardFromOindex (int Oindex)=0; virtual int CheckerBoardFromOindex (int Oindex)=0;
virtual int CheckerBoardFromOindexTable (int Oindex)=0; virtual int CheckerBoardFromOindexTable (int Oindex)=0;
////////////////////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////////////////////////
// Local layout calculations // Local layout calculations
////////////////////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////////////////////////
// These routines are key. Subdivide the linearised cartesian index into // These routines are key. Subdivide the linearised cartesian index into
// "inner" index identifying which simd lane of object<vFcomplex> is associated with coord // "inner" index identifying which simd lane of object<vFcomplex> is associated with coord
// "outer" index identifying which element of _odata in class "Lattice" is associated with coord. // "outer" index identifying which element of _odata in class "Lattice" is associated with coord.
// //
// Compared to, say, Blitz++ we simply need to store BOTH an inner stride and an outer // Compared to, say, Blitz++ we simply need to store BOTH an inner stride and an outer
// stride per dimension. The cost of evaluating the indexing information is doubled for an n-dimensional // stride per dimension. The cost of evaluating the indexing information is doubled for an n-dimensional
// coordinate. Note, however, for data parallel operations the "inner" indexing cost is not paid and all // coordinate. Note, however, for data parallel operations the "inner" indexing cost is not paid and all
// lanes are operated upon simultaneously. // lanes are operated upon simultaneously.
virtual int oIndex(Coordinate &coor) virtual int oIndex(std::vector<int> &coor)
{ {
int idx=0; int idx=0;
// Works with either global or local coordinates // Works with either global or local coordinates
for(int d=0;d<_ndimension;d++) idx+=_ostride[d]*(coor[d]%_rdimensions[d]); for(int d=0;d<_ndimension;d++) idx+=_ostride[d]*(coor[d]%_rdimensions[d]);
return idx; return idx;
} }
virtual int iIndex(Coordinate &lcoor) virtual int iIndex(std::vector<int> &lcoor)
{ {
int idx=0; int idx=0;
for(int d=0;d<_ndimension;d++) idx+=_istride[d]*(lcoor[d]/_rdimensions[d]); for(int d=0;d<_ndimension;d++) idx+=_istride[d]*(lcoor[d]/_rdimensions[d]);
return idx; return idx;
} }
inline int oIndexReduced(Coordinate &ocoor) inline int oIndexReduced(std::vector<int> &ocoor)
{ {
int idx=0; int idx=0;
// ocoor is already reduced so can eliminate the modulo operation // ocoor is already reduced so can eliminate the modulo operation
// for fast indexing and inline the routine // for fast indexing and inline the routine
for(int d=0;d<_ndimension;d++) idx+=_ostride[d]*ocoor[d]; for(int d=0;d<_ndimension;d++) idx+=_ostride[d]*ocoor[d];
return idx; return idx;
} }
inline void oCoorFromOindex (Coordinate& coor,int Oindex){ inline void oCoorFromOindex (std::vector<int>& coor,int Oindex){
Lexicographic::CoorFromIndex(coor,Oindex,_rdimensions); Lexicographic::CoorFromIndex(coor,Oindex,_rdimensions);
} }
inline void InOutCoorToLocalCoor (Coordinate &ocoor, Coordinate &icoor, Coordinate &lcoor) { inline void InOutCoorToLocalCoor (std::vector<int> &ocoor, std::vector<int> &icoor, std::vector<int> &lcoor) {
lcoor.resize(_ndimension); lcoor.resize(_ndimension);
for (int d = 0; d < _ndimension; d++) for (int d = 0; d < _ndimension; d++)
lcoor[d] = ocoor[d] + _rdimensions[d] * icoor[d]; lcoor[d] = ocoor[d] + _rdimensions[d] * icoor[d];
} }
////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////
// SIMD lane addressing // SIMD lane addressing
////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////
inline void iCoorFromIindex(Coordinate &coor,int lane) inline void iCoorFromIindex(std::vector<int> &coor,int lane)
{ {
Lexicographic::CoorFromIndex(coor,lane,_simd_layout); Lexicographic::CoorFromIndex(coor,lane,_simd_layout);
} }
inline int PermuteDim(int dimension){ inline int PermuteDim(int dimension){
return _simd_layout[dimension]>1; return _simd_layout[dimension]>1;
} }
inline int PermuteType(int dimension){ inline int PermuteType(int dimension){
int permute_type=0; int permute_type=0;
// //
// Best way to encode this would be to present a mask // FIXME:
// for which simd dimensions are rotated, and the rotation //
// size. If there is only one simd dimension rotated, this is just // Best way to encode this would be to present a mask
// a permute. // for which simd dimensions are rotated, and the rotation
// // size. If there is only one simd dimension rotated, this is just
// Cases: PermuteType == 1,2,4,8 // a permute.
// Distance should be either 0,1,2.. //
// // Cases: PermuteType == 1,2,4,8
if ( _simd_layout[dimension] > 2 ) { // Distance should be either 0,1,2..
for(int d=0;d<_ndimension;d++){ //
if ( d != dimension ) assert ( (_simd_layout[d]==1) ); if ( _simd_layout[dimension] > 2 ) {
for(int d=0;d<_ndimension;d++){
if ( d != dimension ) assert ( (_simd_layout[d]==1) );
}
permute_type = RotateBit; // How to specify distance; this is not just direction.
return permute_type;
}
for(int d=_ndimension-1;d>dimension;d--){
if (_simd_layout[d]>1 ) permute_type++;
} }
permute_type = RotateBit; // How to specify distance; this is not just direction.
return permute_type; return permute_type;
} }
////////////////////////////////////////////////////////////////
// Array sizing queries
////////////////////////////////////////////////////////////////
for(int d=_ndimension-1;d>dimension;d--){ inline int iSites(void) const { return _isites; };
if (_simd_layout[d]>1 ) permute_type++; inline int Nsimd(void) const { return _isites; };// Synonymous with iSites
inline int oSites(void) const { return _osites; };
inline int lSites(void) const { return _isites*_osites; };
inline int gSites(void) const { return _isites*_osites*_Nprocessors; };
inline int Nd (void) const { return _ndimension;};
inline const std::vector<int> LocalStarts(void) { return _lstart; };
inline const std::vector<int> &FullDimensions(void) { return _fdimensions;};
inline const std::vector<int> &GlobalDimensions(void) { return _gdimensions;};
inline const std::vector<int> &LocalDimensions(void) { return _ldimensions;};
inline const std::vector<int> &VirtualLocalDimensions(void) { return _ldimensions;};
////////////////////////////////////////////////////////////////
// Utility to print the full decomposition details
////////////////////////////////////////////////////////////////
void show_decomposition(){
std::cout << GridLogMessage << "\tFull Dimensions : " << _fdimensions << std::endl;
std::cout << GridLogMessage << "\tSIMD layout : " << _simd_layout << std::endl;
std::cout << GridLogMessage << "\tGlobal Dimensions : " << _gdimensions << std::endl;
std::cout << GridLogMessage << "\tLocal Dimensions : " << _ldimensions << std::endl;
std::cout << GridLogMessage << "\tReduced Dimensions : " << _rdimensions << std::endl;
std::cout << GridLogMessage << "\tOuter strides : " << _ostride << std::endl;
std::cout << GridLogMessage << "\tInner strides : " << _istride << std::endl;
std::cout << GridLogMessage << "\tiSites : " << _isites << std::endl;
std::cout << GridLogMessage << "\toSites : " << _osites << std::endl;
std::cout << GridLogMessage << "\tlSites : " << lSites() << std::endl;
std::cout << GridLogMessage << "\tgSites : " << gSites() << std::endl;
std::cout << GridLogMessage << "\tNd : " << _ndimension << std::endl;
}
////////////////////////////////////////////////////////////////
// Global addressing
////////////////////////////////////////////////////////////////
void GlobalIndexToGlobalCoor(int gidx,std::vector<int> &gcoor){
assert(gidx< gSites());
Lexicographic::CoorFromIndex(gcoor,gidx,_gdimensions);
} }
return permute_type; void LocalIndexToLocalCoor(int lidx,std::vector<int> &lcoor){
} assert(lidx<lSites());
//////////////////////////////////////////////////////////////// Lexicographic::CoorFromIndex(lcoor,lidx,_ldimensions);
// Array sizing queries
////////////////////////////////////////////////////////////////
inline int iSites(void) const { return _isites; };
inline int Nsimd(void) const { return _isites; };// Synonymous with iSites
inline int oSites(void) const { return _osites; };
inline int lSites(void) const { return _isites*_osites; };
inline int64_t gSites(void) const { return (int64_t)_isites*(int64_t)_osites*(int64_t)_Nprocessors; };
inline int Nd (void) const { return _ndimension;};
inline const Coordinate LocalStarts(void) { return _lstart; };
inline const Coordinate &FullDimensions(void) { return _fdimensions;};
inline const Coordinate &GlobalDimensions(void) { return _gdimensions;};
inline const Coordinate &LocalDimensions(void) { return _ldimensions;};
inline const Coordinate &VirtualLocalDimensions(void) { return _ldimensions;};
////////////////////////////////////////////////////////////////
// Utility to print the full decomposition details
////////////////////////////////////////////////////////////////
void show_decomposition(){
std::cout << GridLogMessage << "\tFull Dimensions : " << _fdimensions << std::endl;
std::cout << GridLogMessage << "\tSIMD layout : " << _simd_layout << std::endl;
std::cout << GridLogMessage << "\tGlobal Dimensions : " << _gdimensions << std::endl;
std::cout << GridLogMessage << "\tLocal Dimensions : " << _ldimensions << std::endl;
std::cout << GridLogMessage << "\tReduced Dimensions : " << _rdimensions << std::endl;
std::cout << GridLogMessage << "\tOuter strides : " << _ostride << std::endl;
std::cout << GridLogMessage << "\tInner strides : " << _istride << std::endl;
std::cout << GridLogMessage << "\tiSites : " << _isites << std::endl;
std::cout << GridLogMessage << "\toSites : " << _osites << std::endl;
std::cout << GridLogMessage << "\tlSites : " << lSites() << std::endl;
std::cout << GridLogMessage << "\tgSites : " << gSites() << std::endl;
std::cout << GridLogMessage << "\tNd : " << _ndimension << std::endl;
}
////////////////////////////////////////////////////////////////
// Global addressing
////////////////////////////////////////////////////////////////
void GlobalIndexToGlobalCoor(int64_t gidx,Coordinate &gcoor){
assert(gidx< gSites());
Lexicographic::CoorFromIndex(gcoor,gidx,_gdimensions);
}
void LocalIndexToLocalCoor(int lidx,Coordinate &lcoor){
assert(lidx<lSites());
Lexicographic::CoorFromIndex(lcoor,lidx,_ldimensions);
}
void GlobalCoorToGlobalIndex(const Coordinate & gcoor,int64_t & gidx){
gidx=0;
int mult=1;
for(int mu=0;mu<_ndimension;mu++) {
gidx+=mult*gcoor[mu];
mult*=_gdimensions[mu];
} }
} void GlobalCoorToGlobalIndex(const std::vector<int> & gcoor,int & gidx){
void GlobalCoorToProcessorCoorLocalCoor(Coordinate &pcoor,Coordinate &lcoor,const Coordinate &gcoor) gidx=0;
{ int mult=1;
pcoor.resize(_ndimension); for(int mu=0;mu<_ndimension;mu++) {
lcoor.resize(_ndimension); gidx+=mult*gcoor[mu];
for(int mu=0;mu<_ndimension;mu++){ mult*=_gdimensions[mu];
int _fld = _fdimensions[mu]/_processors[mu]; }
pcoor[mu] = gcoor[mu]/_fld;
lcoor[mu] = gcoor[mu]%_fld;
} }
} void GlobalCoorToProcessorCoorLocalCoor(std::vector<int> &pcoor,std::vector<int> &lcoor,const std::vector<int> &gcoor)
void GlobalCoorToRankIndex(int &rank, int &o_idx, int &i_idx ,const Coordinate &gcoor) {
{ pcoor.resize(_ndimension);
Coordinate pcoor; lcoor.resize(_ndimension);
Coordinate lcoor; for(int mu=0;mu<_ndimension;mu++){
GlobalCoorToProcessorCoorLocalCoor(pcoor,lcoor,gcoor); int _fld = _fdimensions[mu]/_processors[mu];
rank = RankFromProcessorCoor(pcoor); pcoor[mu] = gcoor[mu]/_fld;
/* lcoor[mu] = gcoor[mu]%_fld;
Coordinate cblcoor(lcoor); }
}
void GlobalCoorToRankIndex(int &rank, int &o_idx, int &i_idx ,const std::vector<int> &gcoor)
{
std::vector<int> pcoor;
std::vector<int> lcoor;
GlobalCoorToProcessorCoorLocalCoor(pcoor,lcoor,gcoor);
rank = RankFromProcessorCoor(pcoor);
/*
std::vector<int> cblcoor(lcoor);
for(int d=0;d<cblcoor.size();d++){ for(int d=0;d<cblcoor.size();d++){
if( this->CheckerBoarded(d) ) { if( this->CheckerBoarded(d) ) {
cblcoor[d] = lcoor[d]/2; cblcoor[d] = lcoor[d]/2;
}
} }
} */
*/ i_idx= iIndex(lcoor);
i_idx= iIndex(lcoor); o_idx= oIndex(lcoor);
o_idx= oIndex(lcoor); }
}
void RankIndexToGlobalCoor(int rank, int o_idx, int i_idx , std::vector<int> &gcoor)
void RankIndexToGlobalCoor(int rank, int o_idx, int i_idx , Coordinate &gcoor) {
{ gcoor.resize(_ndimension);
gcoor.resize(_ndimension); std::vector<int> coor(_ndimension);
Coordinate coor(_ndimension);
ProcessorCoorFromRank(rank,coor);
ProcessorCoorFromRank(rank,coor); for(int mu=0;mu<_ndimension;mu++) gcoor[mu] = _ldimensions[mu]*coor[mu];
for(int mu=0;mu<_ndimension;mu++) gcoor[mu] = _ldimensions[mu]*coor[mu];
iCoorFromIindex(coor,i_idx);
iCoorFromIindex(coor,i_idx); for(int mu=0;mu<_ndimension;mu++) gcoor[mu] += _rdimensions[mu]*coor[mu];
for(int mu=0;mu<_ndimension;mu++) gcoor[mu] += _rdimensions[mu]*coor[mu];
oCoorFromOindex (coor,o_idx);
oCoorFromOindex (coor,o_idx); for(int mu=0;mu<_ndimension;mu++) gcoor[mu] += coor[mu];
for(int mu=0;mu<_ndimension;mu++) gcoor[mu] += coor[mu];
}
} void RankIndexCbToFullGlobalCoor(int rank, int o_idx, int i_idx, int cb,std::vector<int> &fcoor)
void RankIndexCbToFullGlobalCoor(int rank, int o_idx, int i_idx, int cb,Coordinate &fcoor) {
{ RankIndexToGlobalCoor(rank,o_idx,i_idx ,fcoor);
RankIndexToGlobalCoor(rank,o_idx,i_idx ,fcoor); if(CheckerBoarded(0)){
if(CheckerBoarded(0)){ fcoor[0] = fcoor[0]*2+cb;
fcoor[0] = fcoor[0]*2+cb; }
}
void ProcessorCoorLocalCoorToGlobalCoor(std::vector<int> &Pcoor,std::vector<int> &Lcoor,std::vector<int> &gcoor)
{
gcoor.resize(_ndimension);
for(int mu=0;mu<_ndimension;mu++) gcoor[mu] = Pcoor[mu]*_ldimensions[mu]+Lcoor[mu];
} }
}
void ProcessorCoorLocalCoorToGlobalCoor(Coordinate &Pcoor,Coordinate &Lcoor,Coordinate &gcoor)
{
gcoor.resize(_ndimension);
for(int mu=0;mu<_ndimension;mu++) gcoor[mu] = Pcoor[mu]*_ldimensions[mu]+Lcoor[mu];
}
}; };
NAMESPACE_END(Grid);
}
#endif #endif

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,102 +23,98 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_CARTESIAN_FULL_H #ifndef GRID_CARTESIAN_FULL_H
#define GRID_CARTESIAN_FULL_H #define GRID_CARTESIAN_FULL_H
NAMESPACE_BEGIN(Grid); namespace Grid{
///////////////////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////////////////////
// Grid Support. // Grid Support.
///////////////////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////////////////////
class GridCartesian: public GridBase { class GridCartesian: public GridBase {
public: public:
int dummy; int dummy;
// Coordinate _checker_dim_mask; virtual int CheckerBoardFromOindexTable (int Oindex) {
virtual int CheckerBoardFromOindexTable (int Oindex) { return 0;
return 0; }
} virtual int CheckerBoardFromOindex (int Oindex)
virtual int CheckerBoardFromOindex (int Oindex) {
{ return 0;
return 0; }
} virtual int CheckerBoarded(int dim){
virtual int CheckerBoarded(int dim) { return 0;
return 0; }
} virtual int CheckerBoard(const std::vector<int> &site){
virtual int CheckerBoard(const Coordinate &site){ return 0;
return 0; }
} virtual int CheckerBoardDestination(int cb,int shift,int dim){
virtual int CheckerBoardDestination(int cb,int shift,int dim){ return 0;
return 0; }
} virtual int CheckerBoardShiftForCB(int source_cb,int dim,int shift, int ocb){
virtual int CheckerBoardShiftForCB(int source_cb,int dim,int shift, int ocb){ return shift;
return shift; }
} virtual int CheckerBoardShift(int source_cb,int dim,int shift, int osite){
virtual int CheckerBoardShift(int source_cb,int dim,int shift, int osite){ return shift;
return shift; }
} /////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////// // Constructor takes a parent grid and possibly subdivides communicator.
// Constructor takes a parent grid and possibly subdivides communicator. /////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////// GridCartesian(const std::vector<int> &dimensions,
GridCartesian(const Coordinate &dimensions, const std::vector<int> &simd_layout,
const Coordinate &simd_layout, const std::vector<int> &processor_grid,
const Coordinate &processor_grid, const GridCartesian &parent) : GridBase(processor_grid,parent,dummy)
const GridCartesian &parent) : GridBase(processor_grid,parent,dummy) {
{ Init(dimensions,simd_layout,processor_grid);
Init(dimensions,simd_layout,processor_grid); }
} GridCartesian(const std::vector<int> &dimensions,
GridCartesian(const Coordinate &dimensions, const std::vector<int> &simd_layout,
const Coordinate &simd_layout, const std::vector<int> &processor_grid,
const Coordinate &processor_grid, const GridCartesian &parent,int &split_rank) : GridBase(processor_grid,parent,split_rank)
const GridCartesian &parent,int &split_rank) : GridBase(processor_grid,parent,split_rank) {
{ Init(dimensions,simd_layout,processor_grid);
Init(dimensions,simd_layout,processor_grid); }
} /////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////// // Construct from comm world
// Construct from comm world /////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////// GridCartesian(const std::vector<int> &dimensions,
GridCartesian(const Coordinate &dimensions, const std::vector<int> &simd_layout,
const Coordinate &simd_layout, const std::vector<int> &processor_grid) : GridBase(processor_grid)
const Coordinate &processor_grid) : GridBase(processor_grid) {
{ Init(dimensions,simd_layout,processor_grid);
Init(dimensions,simd_layout,processor_grid); }
}
virtual ~GridCartesian() = default; virtual ~GridCartesian() = default;
void Init(const Coordinate &dimensions, void Init(const std::vector<int> &dimensions,
const Coordinate &simd_layout, const std::vector<int> &simd_layout,
const Coordinate &processor_grid) const std::vector<int> &processor_grid)
{ {
/////////////////////// ///////////////////////
// Grid information // Grid information
/////////////////////// ///////////////////////
_isCheckerBoarded = false; _isCheckerBoarded = false;
_ndimension = dimensions.size(); _ndimension = dimensions.size();
_fdimensions.resize(_ndimension); _fdimensions.resize(_ndimension);
_gdimensions.resize(_ndimension); _gdimensions.resize(_ndimension);
_ldimensions.resize(_ndimension); _ldimensions.resize(_ndimension);
_rdimensions.resize(_ndimension); _rdimensions.resize(_ndimension);
_simd_layout.resize(_ndimension); _simd_layout.resize(_ndimension);
_checker_dim_mask.resize(_ndimension);; _lstart.resize(_ndimension);
_checker_dim = -1; _lend.resize(_ndimension);
_lstart.resize(_ndimension);
_lend.resize(_ndimension);
_ostride.resize(_ndimension); _ostride.resize(_ndimension);
_istride.resize(_ndimension); _istride.resize(_ndimension);
_fsites = _gsites = _osites = _isites = 1; _fsites = _gsites = _osites = _isites = 1;
for (int d = 0; d < _ndimension; d++) for (int d = 0; d < _ndimension; d++)
{ {
_checker_dim_mask[d]=0;
_fdimensions[d] = dimensions[d]; // Global dimensions _fdimensions[d] = dimensions[d]; // Global dimensions
_gdimensions[d] = _fdimensions[d]; // Global dimensions _gdimensions[d] = _fdimensions[d]; // Global dimensions
_simd_layout[d] = simd_layout[d]; _simd_layout[d] = simd_layout[d];
@ -140,30 +136,30 @@ public:
// Addressing support // Addressing support
if (d == 0) if (d == 0)
{ {
_ostride[d] = 1; _ostride[d] = 1;
_istride[d] = 1; _istride[d] = 1;
} }
else else
{ {
_ostride[d] = _ostride[d - 1] * _rdimensions[d - 1]; _ostride[d] = _ostride[d - 1] * _rdimensions[d - 1];
_istride[d] = _istride[d - 1] * _simd_layout[d - 1]; _istride[d] = _istride[d - 1] * _simd_layout[d - 1];
} }
} }
/////////////////////// ///////////////////////
// subplane information // subplane information
/////////////////////// ///////////////////////
_slice_block.resize(_ndimension); _slice_block.resize(_ndimension);
_slice_stride.resize(_ndimension); _slice_stride.resize(_ndimension);
_slice_nblock.resize(_ndimension); _slice_nblock.resize(_ndimension);
int block = 1; int block = 1;
int nblock = 1; int nblock = 1;
for (int d = 0; d < _ndimension; d++) for (int d = 0; d < _ndimension; d++)
nblock *= _rdimensions[d]; nblock *= _rdimensions[d];
for (int d = 0; d < _ndimension; d++) for (int d = 0; d < _ndimension; d++)
{ {
nblock /= _rdimensions[d]; nblock /= _rdimensions[d];
_slice_block[d] = block; _slice_block[d] = block;
@ -171,9 +167,8 @@ public:
_slice_nblock[d] = nblock; _slice_nblock[d] = nblock;
block = block * _rdimensions[d]; block = block * _rdimensions[d];
} }
}; };
}; };
}
NAMESPACE_END(Grid);
#endif #endif

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -24,164 +24,178 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_CARTESIAN_RED_BLACK_H #ifndef GRID_CARTESIAN_RED_BLACK_H
#define GRID_CARTESIAN_RED_BLACK_H #define GRID_CARTESIAN_RED_BLACK_H
NAMESPACE_BEGIN(Grid);
static const int CbRed =0; namespace Grid {
static const int CbBlack=1;
static const int Even =CbRed;
static const int Odd =CbBlack;
accelerator_inline int RedBlackCheckerBoardFromOindex (int oindex,const Coordinate &rdim,const Coordinate &chk_dim_msk)
{
int nd=rdim.size();
Coordinate coor(nd);
Lexicographic::CoorFromIndex(coor,oindex,rdim);
int linear=0;
for(int d=0;d<nd;d++){
if(chk_dim_msk[d])
linear=linear+coor[d];
}
return (linear&0x1);
}
static const int CbRed =0;
static const int CbBlack=1;
static const int Even =CbRed;
static const int Odd =CbBlack;
// Specialise this for red black grids storing half the data like a chess board. // Specialise this for red black grids storing half the data like a chess board.
class GridRedBlackCartesian : public GridBase class GridRedBlackCartesian : public GridBase
{ {
public: public:
// Coordinate _checker_dim_mask; std::vector<int> _checker_dim_mask;
// int _checker_dim; int _checker_dim;
std::vector<int> _checker_board; std::vector<int> _checker_board;
virtual int isCheckerBoarded(void) const { return 1; }; virtual int CheckerBoarded(int dim){
virtual int CheckerBoarded(int dim){ if( dim==_checker_dim) return 1;
if( dim==_checker_dim) return 1; else return 0;
else return 0; }
} virtual int CheckerBoard(const std::vector<int> &site){
virtual int CheckerBoard(const Coordinate &site){ int linear=0;
int linear=0; assert(site.size()==_ndimension);
assert(site.size()==_ndimension); for(int d=0;d<_ndimension;d++){
for(int d=0;d<_ndimension;d++){ if(_checker_dim_mask[d])
if(_checker_dim_mask[d]) linear=linear+site[d];
linear=linear+site[d]; }
return (linear&0x1);
} }
return (linear&0x1);
}
// Depending on the cb of site, we toggle source cb.
// for block #b, element #e = (b, e)
// we need
virtual int CheckerBoardShiftForCB(int source_cb,int dim,int shift,int ocb){
if(dim != _checker_dim) return shift;
int fulldim =_fdimensions[dim]; // Depending on the cb of site, we toggle source cb.
shift = (shift+fulldim)%fulldim; // for block #b, element #e = (b, e)
// we need
virtual int CheckerBoardShiftForCB(int source_cb,int dim,int shift,int ocb){
if(dim != _checker_dim) return shift;
// Probably faster with table lookup; int fulldim =_fdimensions[dim];
// or by looping over x,y,z and multiply rather than computing checkerboard. shift = (shift+fulldim)%fulldim;
// Probably faster with table lookup;
// or by looping over x,y,z and multiply rather than computing checkerboard.
if ( (source_cb+ocb)&1 ) { if ( (source_cb+ocb)&1 ) {
return (shift)/2; return (shift)/2;
} else { } else {
return (shift+1)/2; return (shift+1)/2;
}
} }
} virtual int CheckerBoardFromOindexTable (int Oindex) {
virtual int CheckerBoardFromOindexTable (int Oindex) { return _checker_board[Oindex];
return _checker_board[Oindex]; }
} virtual int CheckerBoardFromOindex (int Oindex)
virtual int CheckerBoardFromOindex (int Oindex) {
{ std::vector<int> ocoor;
Coordinate ocoor; oCoorFromOindex(ocoor,Oindex);
oCoorFromOindex(ocoor,Oindex); return CheckerBoard(ocoor);
return CheckerBoard(ocoor); }
} virtual int CheckerBoardShift(int source_cb,int dim,int shift,int osite){
virtual int CheckerBoardShift(int source_cb,int dim,int shift,int osite){
if(dim != _checker_dim) return shift; if(dim != _checker_dim) return shift;
int ocb=CheckerBoardFromOindex(osite); int ocb=CheckerBoardFromOindex(osite);
return CheckerBoardShiftForCB(source_cb,dim,shift,ocb); return CheckerBoardShiftForCB(source_cb,dim,shift,ocb);
} }
virtual int CheckerBoardDestination(int source_cb,int shift,int dim){ virtual int CheckerBoardDestination(int source_cb,int shift,int dim){
if ( _checker_dim_mask[dim] ) { if ( _checker_dim_mask[dim] ) {
// If _fdimensions[checker_dim] is odd, then shifting by 1 in other dims // If _fdimensions[checker_dim] is odd, then shifting by 1 in other dims
// does NOT cause a parity hop. // does NOT cause a parity hop.
int add=(dim==_checker_dim) ? 0 : _fdimensions[_checker_dim]; int add=(dim==_checker_dim) ? 0 : _fdimensions[_checker_dim];
if ( (shift+add) &0x1) { if ( (shift+add) &0x1) {
return 1-source_cb; return 1-source_cb;
} else {
return source_cb;
}
} else { } else {
return source_cb; return source_cb;
} }
} else { };
return source_cb;
////////////////////////////////////////////////////////////
// Create Redblack from original grid; require full grid pointer ?
////////////////////////////////////////////////////////////
GridRedBlackCartesian(const GridBase *base) : GridBase(base->_processors,*base)
{
int dims = base->_ndimension;
std::vector<int> checker_dim_mask(dims,1);
int checker_dim = 0;
Init(base->_fdimensions,base->_simd_layout,base->_processors,checker_dim_mask,checker_dim);
};
////////////////////////////////////////////////////////////
// Create redblack from original grid, with non-trivial checker dim mask
////////////////////////////////////////////////////////////
GridRedBlackCartesian(const GridBase *base,
const std::vector<int> &checker_dim_mask,
int checker_dim
) : GridBase(base->_processors,*base)
{
Init(base->_fdimensions,base->_simd_layout,base->_processors,checker_dim_mask,checker_dim) ;
} }
};
//////////////////////////////////////////////////////////// virtual ~GridRedBlackCartesian() = default;
// Create Redblack from original grid; require full grid pointer ? #if 0
//////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////
GridRedBlackCartesian(const GridBase *base) : GridBase(base->_processors,*base) // Create redblack grid ;; deprecate these. Should not
{ // need direct creation of redblack without a full grid to base on
int dims = base->_ndimension; ////////////////////////////////////////////////////////////
Coordinate checker_dim_mask(dims,1); GridRedBlackCartesian(const GridBase *base,
int checker_dim = 0; const std::vector<int> &dimensions,
Init(base->_fdimensions,base->_simd_layout,base->_processors,checker_dim_mask,checker_dim); const std::vector<int> &simd_layout,
}; const std::vector<int> &processor_grid,
const std::vector<int> &checker_dim_mask,
int checker_dim
) : GridBase(processor_grid,*base)
{
Init(dimensions,simd_layout,processor_grid,checker_dim_mask,checker_dim);
}
//////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////
// Create redblack from original grid, with non-trivial checker dim mask // Create redblack grid
//////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////
GridRedBlackCartesian(const GridBase *base, GridRedBlackCartesian(const GridBase *base,
const Coordinate &checker_dim_mask, const std::vector<int> &dimensions,
int checker_dim const std::vector<int> &simd_layout,
) : GridBase(base->_processors,*base) const std::vector<int> &processor_grid) : GridBase(processor_grid,*base)
{ {
Init(base->_fdimensions,base->_simd_layout,base->_processors,checker_dim_mask,checker_dim) ; std::vector<int> checker_dim_mask(dimensions.size(),1);
} int checker_dim = 0;
Init(dimensions,simd_layout,processor_grid,checker_dim_mask,checker_dim);
virtual ~GridRedBlackCartesian() = default; }
#endif
void Init(const Coordinate &dimensions, void Init(const std::vector<int> &dimensions,
const Coordinate &simd_layout, const std::vector<int> &simd_layout,
const Coordinate &processor_grid, const std::vector<int> &processor_grid,
const Coordinate &checker_dim_mask, const std::vector<int> &checker_dim_mask,
int checker_dim) int checker_dim)
{ {
_isCheckerBoarded = true; _isCheckerBoarded = true;
_checker_dim = checker_dim; _checker_dim = checker_dim;
assert(checker_dim_mask[checker_dim] == 1); assert(checker_dim_mask[checker_dim] == 1);
_ndimension = dimensions.size(); _ndimension = dimensions.size();
assert(checker_dim_mask.size() == _ndimension); assert(checker_dim_mask.size() == _ndimension);
assert(processor_grid.size() == _ndimension); assert(processor_grid.size() == _ndimension);
assert(simd_layout.size() == _ndimension); assert(simd_layout.size() == _ndimension);
_fdimensions.resize(_ndimension); _fdimensions.resize(_ndimension);
_gdimensions.resize(_ndimension); _gdimensions.resize(_ndimension);
_ldimensions.resize(_ndimension); _ldimensions.resize(_ndimension);
_rdimensions.resize(_ndimension); _rdimensions.resize(_ndimension);
_simd_layout.resize(_ndimension); _simd_layout.resize(_ndimension);
_lstart.resize(_ndimension); _lstart.resize(_ndimension);
_lend.resize(_ndimension); _lend.resize(_ndimension);
_ostride.resize(_ndimension); _ostride.resize(_ndimension);
_istride.resize(_ndimension); _istride.resize(_ndimension);
_fsites = _gsites = _osites = _isites = 1; _fsites = _gsites = _osites = _isites = 1;
_checker_dim_mask = checker_dim_mask; _checker_dim_mask = checker_dim_mask;
for (int d = 0; d < _ndimension; d++) for (int d = 0; d < _ndimension; d++)
{ {
_fdimensions[d] = dimensions[d]; _fdimensions[d] = dimensions[d];
_gdimensions[d] = _fdimensions[d]; _gdimensions[d] = _fdimensions[d];
@ -189,11 +203,11 @@ public:
_gsites = _gsites * _gdimensions[d]; _gsites = _gsites * _gdimensions[d];
if (d == _checker_dim) if (d == _checker_dim)
{ {
assert((_gdimensions[d] & 0x1) == 0); assert((_gdimensions[d] & 0x1) == 0);
_gdimensions[d] = _gdimensions[d] / 2; // Remove a checkerboard _gdimensions[d] = _gdimensions[d] / 2; // Remove a checkerboard
_gsites /= 2; _gsites /= 2;
} }
_ldimensions[d] = _gdimensions[d] / _processors[d]; _ldimensions[d] = _gdimensions[d] / _processors[d];
assert(_ldimensions[d] * _processors[d] == _gdimensions[d]); assert(_ldimensions[d] * _processors[d] == _gdimensions[d]);
_lstart[d] = _processor_coor[d] * _ldimensions[d]; _lstart[d] = _processor_coor[d] * _ldimensions[d];
@ -208,42 +222,42 @@ public:
// all elements of a simd vector must have same checkerboard. // all elements of a simd vector must have same checkerboard.
// If Ls vectorised, this must still be the case; e.g. dwf rb5d // If Ls vectorised, this must still be the case; e.g. dwf rb5d
if (_simd_layout[d] > 1) if (_simd_layout[d] > 1)
{ {
if (checker_dim_mask[d]) if (checker_dim_mask[d])
{ {
assert((_rdimensions[d] & 0x1) == 0); assert((_rdimensions[d] & 0x1) == 0);
} }
} }
_osites *= _rdimensions[d]; _osites *= _rdimensions[d];
_isites *= _simd_layout[d]; _isites *= _simd_layout[d];
// Addressing support // Addressing support
if (d == 0) if (d == 0)
{ {
_ostride[d] = 1; _ostride[d] = 1;
_istride[d] = 1; _istride[d] = 1;
} }
else else
{ {
_ostride[d] = _ostride[d - 1] * _rdimensions[d - 1]; _ostride[d] = _ostride[d - 1] * _rdimensions[d - 1];
_istride[d] = _istride[d - 1] * _simd_layout[d - 1]; _istride[d] = _istride[d - 1] * _simd_layout[d - 1];
} }
} }
//////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////
// subplane information // subplane information
//////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////
_slice_block.resize(_ndimension); _slice_block.resize(_ndimension);
_slice_stride.resize(_ndimension); _slice_stride.resize(_ndimension);
_slice_nblock.resize(_ndimension); _slice_nblock.resize(_ndimension);
int block = 1; int block = 1;
int nblock = 1; int nblock = 1;
for (int d = 0; d < _ndimension; d++) for (int d = 0; d < _ndimension; d++)
nblock *= _rdimensions[d]; nblock *= _rdimensions[d];
for (int d = 0; d < _ndimension; d++) for (int d = 0; d < _ndimension; d++)
{ {
nblock /= _rdimensions[d]; nblock /= _rdimensions[d];
_slice_block[d] = block; _slice_block[d] = block;
@ -252,55 +266,55 @@ public:
block = block * _rdimensions[d]; block = block * _rdimensions[d];
} }
//////////////////////////////////////////////// ////////////////////////////////////////////////
// Create a checkerboard lookup table // Create a checkerboard lookup table
//////////////////////////////////////////////// ////////////////////////////////////////////////
int rvol = 1; int rvol = 1;
for (int d = 0; d < _ndimension; d++) for (int d = 0; d < _ndimension; d++)
{ {
rvol = rvol * _rdimensions[d]; rvol = rvol * _rdimensions[d];
} }
_checker_board.resize(rvol); _checker_board.resize(rvol);
for (int osite = 0; osite < _osites; osite++) for (int osite = 0; osite < _osites; osite++)
{ {
_checker_board[osite] = CheckerBoardFromOindex(osite); _checker_board[osite] = CheckerBoardFromOindex(osite);
} }
}; };
protected: protected:
virtual int oIndex(Coordinate &coor) virtual int oIndex(std::vector<int> &coor)
{ {
int idx = 0; int idx = 0;
for (int d = 0; d < _ndimension; d++) for (int d = 0; d < _ndimension; d++)
{ {
if (d == _checker_dim) if (d == _checker_dim)
{ {
idx += _ostride[d] * ((coor[d] / 2) % _rdimensions[d]); idx += _ostride[d] * ((coor[d] / 2) % _rdimensions[d]);
} }
else else
{ {
idx += _ostride[d] * (coor[d] % _rdimensions[d]); idx += _ostride[d] * (coor[d] % _rdimensions[d]);
} }
} }
return idx; return idx;
}; };
virtual int iIndex(Coordinate &lcoor) virtual int iIndex(std::vector<int> &lcoor)
{ {
int idx = 0; int idx = 0;
for (int d = 0; d < _ndimension; d++) for (int d = 0; d < _ndimension; d++)
{ {
if (d == _checker_dim) if (d == _checker_dim)
{ {
idx += _istride[d] * (lcoor[d] / (2 * _rdimensions[d])); idx += _istride[d] * (lcoor[d] / (2 * _rdimensions[d]));
} }
else else
{ {
idx += _istride[d] * (lcoor[d] / _rdimensions[d]); idx += _istride[d] * (lcoor[d] / _rdimensions[d]);
} }
} }
return idx; return idx;
} }
}; };
NAMESPACE_END(Grid); }
#endif #endif

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,12 +23,11 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_COMMUNICATOR_H #ifndef GRID_COMMUNICATOR_H
#define GRID_COMMUNICATOR_H #define GRID_COMMUNICATOR_H
#include <Grid/util/Coordinate.h>
#include <Grid/communicator/SharedMemory.h> #include <Grid/communicator/SharedMemory.h>
#include <Grid/communicator/Communicator_base.h> #include <Grid/communicator/Communicator_base.h>

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,17 +23,15 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#include <Grid/GridCore.h> #include <Grid/GridCore.h>
#include <fcntl.h> #include <fcntl.h>
#include <unistd.h> #include <unistd.h>
#include <limits.h> #include <limits.h>
#include <sys/mman.h> #include <sys/mman.h>
NAMESPACE_BEGIN(Grid); namespace Grid {
bool Stencil_force_mpi = true;
/////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////
// Info that is setup once and indept of cartesian layout // Info that is setup once and indept of cartesian layout
@ -49,42 +47,30 @@ int CartesianCommunicator::Dimensions(void) { return
int CartesianCommunicator::IsBoss(void) { return _processor==0; }; int CartesianCommunicator::IsBoss(void) { return _processor==0; };
int CartesianCommunicator::BossRank(void) { return 0; }; int CartesianCommunicator::BossRank(void) { return 0; };
int CartesianCommunicator::ThisRank(void) { return _processor; }; int CartesianCommunicator::ThisRank(void) { return _processor; };
const Coordinate & CartesianCommunicator::ThisProcessorCoor(void) { return _processor_coor; }; const std::vector<int> & CartesianCommunicator::ThisProcessorCoor(void) { return _processor_coor; };
const Coordinate & CartesianCommunicator::ProcessorGrid(void) { return _processors; }; const std::vector<int> & CartesianCommunicator::ProcessorGrid(void) { return _processors; };
int CartesianCommunicator::ProcessorCount(void) { return _Nprocessors; }; int CartesianCommunicator::ProcessorCount(void) { return _Nprocessors; };
//////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////
// very VERY rarely (Log, serial RNG) we need world without a grid // very VERY rarely (Log, serial RNG) we need world without a grid
//////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////
#ifdef USE_GRID_REDUCTION
void CartesianCommunicator::GlobalSum(ComplexF &c)
{
GlobalSumP2P(c);
}
void CartesianCommunicator::GlobalSum(ComplexD &c)
{
GlobalSumP2P(c);
}
#else
void CartesianCommunicator::GlobalSum(ComplexF &c) void CartesianCommunicator::GlobalSum(ComplexF &c)
{ {
GlobalSumVector((float *)&c,2); GlobalSumVector((float *)&c,2);
} }
void CartesianCommunicator::GlobalSum(ComplexD &c)
{
GlobalSumVector((double *)&c,2);
}
#endif
void CartesianCommunicator::GlobalSumVector(ComplexF *c,int N) void CartesianCommunicator::GlobalSumVector(ComplexF *c,int N)
{ {
GlobalSumVector((float *)c,2*N); GlobalSumVector((float *)c,2*N);
} }
void CartesianCommunicator::GlobalSum(ComplexD &c)
{
GlobalSumVector((double *)&c,2);
}
void CartesianCommunicator::GlobalSumVector(ComplexD *c,int N) void CartesianCommunicator::GlobalSumVector(ComplexD *c,int N)
{ {
GlobalSumVector((double *)c,2*N); GlobalSumVector((double *)c,2*N);
} }
NAMESPACE_END(Grid); }

View File

@ -1,4 +1,5 @@
/*************************************************************************************
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,8 +24,8 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#ifndef GRID_COMMUNICATOR_BASE_H #ifndef GRID_COMMUNICATOR_BASE_H
#define GRID_COMMUNICATOR_BASE_H #define GRID_COMMUNICATOR_BASE_H
@ -33,11 +34,7 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
/////////////////////////////////// ///////////////////////////////////
#include <Grid/communicator/SharedMemory.h> #include <Grid/communicator/SharedMemory.h>
#define NVLINK_GET namespace Grid {
NAMESPACE_BEGIN(Grid);
extern bool Stencil_force_mpi ;
class CartesianCommunicator : public SharedMemory { class CartesianCommunicator : public SharedMemory {
@ -55,11 +52,10 @@ public:
// Communicator should know nothing of the physics grid, only processor grid. // Communicator should know nothing of the physics grid, only processor grid.
//////////////////////////////////////////// ////////////////////////////////////////////
int _Nprocessors; // How many in all int _Nprocessors; // How many in all
std::vector<int> _processors; // Which dimensions get relayed out over processors lanes.
int _processor; // linear processor rank int _processor; // linear processor rank
std::vector<int> _processor_coor; // linear processor coordinate
unsigned long _ndimension; unsigned long _ndimension;
Coordinate _shm_processors; // Which dimensions get relayed out over processors lanes.
Coordinate _processors; // Which dimensions get relayed out over processors lanes.
Coordinate _processor_coor; // linear processor coordinate
static Grid_MPI_Comm communicator_world; static Grid_MPI_Comm communicator_world;
Grid_MPI_Comm communicator; Grid_MPI_Comm communicator;
std::vector<Grid_MPI_Comm> communicator_halo; std::vector<Grid_MPI_Comm> communicator_halo;
@ -73,139 +69,101 @@ public:
// Constructors to sub-divide a parent communicator // Constructors to sub-divide a parent communicator
// and default to comm world // and default to comm world
//////////////////////////////////////////////// ////////////////////////////////////////////////
CartesianCommunicator(const Coordinate &processors,const CartesianCommunicator &parent,int &srank); CartesianCommunicator(const std::vector<int> &processors,const CartesianCommunicator &parent,int &srank);
CartesianCommunicator(const Coordinate &pdimensions_in); CartesianCommunicator(const std::vector<int> &pdimensions_in);
virtual ~CartesianCommunicator(); virtual ~CartesianCommunicator();
private: private:
//////////////////////////////////////////////// ////////////////////////////////////////////////
// Private initialise from an MPI communicator // Private initialise from an MPI communicator
// Can use after an MPI_Comm_split, but hidden from user so private // Can use after an MPI_Comm_split, but hidden from user so private
//////////////////////////////////////////////// ////////////////////////////////////////////////
void InitFromMPICommunicator(const Coordinate &processors, Grid_MPI_Comm communicator_base); void InitFromMPICommunicator(const std::vector<int> &processors, Grid_MPI_Comm communicator_base);
public:
public:
//////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////
// Wraps MPI_Cart routines, or implements equivalent on other impls // Wraps MPI_Cart routines, or implements equivalent on other impls
//////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////
void ShiftedRanks(int dim,int shift,int & source, int & dest); void ShiftedRanks(int dim,int shift,int & source, int & dest);
int RankFromProcessorCoor(Coordinate &coor); int RankFromProcessorCoor(std::vector<int> &coor);
void ProcessorCoorFromRank(int rank,Coordinate &coor); void ProcessorCoorFromRank(int rank,std::vector<int> &coor);
int Dimensions(void) ; int Dimensions(void) ;
int IsBoss(void) ; int IsBoss(void) ;
int BossRank(void) ; int BossRank(void) ;
int ThisRank(void) ; int ThisRank(void) ;
const Coordinate & ThisProcessorCoor(void) ; const std::vector<int> & ThisProcessorCoor(void) ;
const Coordinate & ShmGrid(void) { return _shm_processors; } ; const std::vector<int> & ProcessorGrid(void) ;
const Coordinate & ProcessorGrid(void) ; int ProcessorCount(void) ;
int ProcessorCount(void) ;
//////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////
// very VERY rarely (Log, serial RNG) we need world without a grid // very VERY rarely (Log, serial RNG) we need world without a grid
//////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////
static int RankWorld(void) ; static int RankWorld(void) ;
static void BroadcastWorld(int root,void* data, int bytes); static void BroadcastWorld(int root,void* data, int bytes);
static void BarrierWorld(void);
//////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////
// Reduction // Reduction
//////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////
void GlobalMax(RealD &);
void GlobalMax(RealF &);
void GlobalSum(RealF &); void GlobalSum(RealF &);
void GlobalSumVector(RealF *,int N); void GlobalSumVector(RealF *,int N);
void GlobalSum(RealD &); void GlobalSum(RealD &);
void GlobalSumVector(RealD *,int N); void GlobalSumVector(RealD *,int N);
void GlobalSum(uint32_t &); void GlobalSum(uint32_t &);
void GlobalSum(uint64_t &); void GlobalSum(uint64_t &);
void GlobalSumVector(uint64_t*,int N);
void GlobalSum(ComplexF &c); void GlobalSum(ComplexF &c);
void GlobalSumVector(ComplexF *c,int N); void GlobalSumVector(ComplexF *c,int N);
void GlobalSum(ComplexD &c); void GlobalSum(ComplexD &c);
void GlobalSumVector(ComplexD *c,int N); void GlobalSumVector(ComplexD *c,int N);
void GlobalXOR(uint32_t &); void GlobalXOR(uint32_t &);
void GlobalXOR(uint64_t &); void GlobalXOR(uint64_t &);
template<class obj> void GlobalSumP2P(obj &o)
{
std::vector<obj> column;
obj accum = o;
int source,dest;
for(int d=0;d<_ndimension;d++){
column.resize(_processors[d]);
column[0] = accum;
std::vector<MpiCommsRequest_t> list;
for(int p=1;p<_processors[d];p++){
ShiftedRanks(d,p,source,dest);
SendToRecvFromBegin(list,
&column[0],
dest,
&column[p],
source,
sizeof(obj),d*100+p);
}
if (!list.empty()) // avoid triggering assert in comms == none
CommsComplete(list);
for(int p=1;p<_processors[d];p++){
accum = accum + column[p];
}
}
Broadcast(0,accum);
o=accum;
}
template<class obj> void GlobalSum(obj &o){ template<class obj> void GlobalSum(obj &o){
typedef typename obj::scalar_type scalar_type; typedef typename obj::scalar_type scalar_type;
int words = sizeof(obj)/sizeof(scalar_type); int words = sizeof(obj)/sizeof(scalar_type);
scalar_type * ptr = (scalar_type *)& o; // Safe alias scalar_type * ptr = (scalar_type *)& o;
GlobalSumVector(ptr,words); GlobalSumVector(ptr,words);
} }
//////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////
// Face exchange, buffer swap in translational invariant way // Face exchange, buffer swap in translational invariant way
//////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////
void CommsComplete(std::vector<MpiCommsRequest_t> &list);
void SendToRecvFromBegin(std::vector<MpiCommsRequest_t> &list,
void *xmit,
int dest,
void *recv,
int from,
int bytes,int dir);
void SendToRecvFrom(void *xmit, void SendToRecvFrom(void *xmit,
int xmit_to_rank, int xmit_to_rank,
void *recv, void *recv,
int recv_from_rank, int recv_from_rank,
int bytes); int bytes);
void SendRecvPacket(void *xmit,
void *recv,
int xmit_to_rank,
int recv_from_rank,
int bytes);
void SendToRecvFromBegin(std::vector<CommsRequest_t> &list,
void *xmit,
int xmit_to_rank,
void *recv,
int recv_from_rank,
int bytes);
void SendToRecvFromComplete(std::vector<CommsRequest_t> &waitall);
double StencilSendToRecvFrom(void *xmit, double StencilSendToRecvFrom(void *xmit,
int xmit_to_rank,int do_xmit, int xmit_to_rank,
void *recv, void *recv,
int recv_from_rank,int do_recv, int recv_from_rank,
int bytes,int dir); int bytes,int dir);
double StencilSendToRecvFromPrepare(std::vector<CommsRequest_t> &list,
void *xmit,
int xmit_to_rank,int do_xmit,
void *recv,
int recv_from_rank,int do_recv,
int xbytes,int rbytes,int dir);
// Could do a PollHtoD and have a CommsMerge dependence
void StencilSendToRecvFromPollDtoH (std::vector<CommsRequest_t> &list);
void StencilSendToRecvFromPollIRecv(std::vector<CommsRequest_t> &list);
double StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list, double StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
void *xmit, void *xmit,
int xmit_to_rank,int do_xmit, int xmit_to_rank,
void *recv, void *recv,
int recv_from_rank,int do_recv, int recv_from_rank,
int xbytes,int rbytes,int dir); int bytes,int dir);
void StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &waitall,int i); void StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &waitall,int i);
@ -239,12 +197,11 @@ public:
void AllToAll(void *in,void *out,uint64_t words ,uint64_t bytes); void AllToAll(void *in,void *out,uint64_t words ,uint64_t bytes);
template<class obj> void Broadcast(int root,obj &data) template<class obj> void Broadcast(int root,obj &data)
{ {
Broadcast(root,(void *)&data,sizeof(data)); Broadcast(root,(void *)&data,sizeof(data));
} };
}; };
}
NAMESPACE_END(Grid);
#endif #endif

View File

@ -1,6 +1,6 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/communicator/Communicator_mpi.cc Source file: ./lib/communicator/Communicator_mpi.cc
@ -23,20 +23,19 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#include <Grid/GridCore.h> #include <Grid/GridCore.h>
#include <Grid/communicator/SharedMemory.h> #include <Grid/communicator/SharedMemory.h>
NAMESPACE_BEGIN(Grid); namespace Grid {
Grid_MPI_Comm CartesianCommunicator::communicator_world; Grid_MPI_Comm CartesianCommunicator::communicator_world;
//////////////////////////////////////////// ////////////////////////////////////////////
// First initialise of comms system // First initialise of comms system
//////////////////////////////////////////// ////////////////////////////////////////////
void CartesianCommunicator::Init(int *argc, char ***argv) void CartesianCommunicator::Init(int *argc, char ***argv)
{ {
int flag; int flag;
@ -44,35 +43,22 @@ void CartesianCommunicator::Init(int *argc, char ***argv)
MPI_Initialized(&flag); // needed to coexist with other libs apparently MPI_Initialized(&flag); // needed to coexist with other libs apparently
if ( !flag ) { if ( !flag ) {
#ifndef GRID_COMMS_THREADS
nCommThreads=1;
// wrong results here too
// For now: comms-overlap leads to wrong results in Benchmark_wilson even on single node MPI runs
// other comms schemes are ok
MPI_Init_thread(argc,argv,MPI_THREAD_SERIALIZED,&provided);
#else
MPI_Init_thread(argc,argv,MPI_THREAD_MULTIPLE,&provided); MPI_Init_thread(argc,argv,MPI_THREAD_MULTIPLE,&provided);
#endif
//If only 1 comms thread we require any threading mode other than SINGLE, but for multiple comms threads we need MULTIPLE //If only 1 comms thread we require any threading mode other than SINGLE, but for multiple comms threads we need MULTIPLE
if( (nCommThreads == 1) && (provided == MPI_THREAD_SINGLE) ) { if( (nCommThreads == 1 && provided == MPI_THREAD_SINGLE) ||
(nCommThreads > 1 && provided != MPI_THREAD_MULTIPLE) )
assert(0); assert(0);
}
if( (nCommThreads > 1) && (provided != MPI_THREAD_MULTIPLE) ) {
assert(0);
}
} }
Grid_quiesce_nodes();
// Never clean up as done once. // Never clean up as done once.
MPI_Comm_dup (MPI_COMM_WORLD,&communicator_world); MPI_Comm_dup (MPI_COMM_WORLD,&communicator_world);
Grid_quiesce_nodes();
GlobalSharedMemory::Init(communicator_world); GlobalSharedMemory::Init(communicator_world);
GlobalSharedMemory::SharedMemoryAllocate( GlobalSharedMemory::SharedMemoryAllocate(
GlobalSharedMemory::MAX_MPI_SHM_BYTES, GlobalSharedMemory::MAX_MPI_SHM_BYTES,
GlobalSharedMemory::Hugepages); GlobalSharedMemory::Hugepages);
Grid_unquiesce_nodes();
} }
/////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////
@ -83,14 +69,14 @@ void CartesianCommunicator::ShiftedRanks(int dim,int shift,int &source,int &dest
int ierr=MPI_Cart_shift(communicator,dim,shift,&source,&dest); int ierr=MPI_Cart_shift(communicator,dim,shift,&source,&dest);
assert(ierr==0); assert(ierr==0);
} }
int CartesianCommunicator::RankFromProcessorCoor(Coordinate &coor) int CartesianCommunicator::RankFromProcessorCoor(std::vector<int> &coor)
{ {
int rank; int rank;
int ierr=MPI_Cart_rank (communicator, &coor[0], &rank); int ierr=MPI_Cart_rank (communicator, &coor[0], &rank);
assert(ierr==0); assert(ierr==0);
return rank; return rank;
} }
void CartesianCommunicator::ProcessorCoorFromRank(int rank, Coordinate &coor) void CartesianCommunicator::ProcessorCoorFromRank(int rank, std::vector<int> &coor)
{ {
coor.resize(_ndimension); coor.resize(_ndimension);
int ierr=MPI_Cart_coords (communicator, rank, _ndimension,&coor[0]); int ierr=MPI_Cart_coords (communicator, rank, _ndimension,&coor[0]);
@ -100,14 +86,14 @@ void CartesianCommunicator::ProcessorCoorFromRank(int rank, Coordinate &coor)
//////////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////////
// Initialises from communicator_world // Initialises from communicator_world
//////////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////////
CartesianCommunicator::CartesianCommunicator(const Coordinate &processors) CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors)
{ {
MPI_Comm optimal_comm; MPI_Comm optimal_comm;
//////////////////////////////////////////////////// ////////////////////////////////////////////////////
// Remap using the shared memory optimising routine // Remap using the shared memory optimising routine
// The remap creates a comm which must be freed // The remap creates a comm which must be freed
//////////////////////////////////////////////////// ////////////////////////////////////////////////////
GlobalSharedMemory::OptimalCommunicator (processors,optimal_comm,_shm_processors); GlobalSharedMemory::OptimalCommunicator (processors,optimal_comm);
InitFromMPICommunicator(processors,optimal_comm); InitFromMPICommunicator(processors,optimal_comm);
SetCommunicator(optimal_comm); SetCommunicator(optimal_comm);
/////////////////////////////////////////////////// ///////////////////////////////////////////////////
@ -119,27 +105,29 @@ CartesianCommunicator::CartesianCommunicator(const Coordinate &processors)
////////////////////////////////// //////////////////////////////////
// Try to subdivide communicator // Try to subdivide communicator
////////////////////////////////// //////////////////////////////////
CartesianCommunicator::CartesianCommunicator(const Coordinate &processors,const CartesianCommunicator &parent,int &srank) CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors,const CartesianCommunicator &parent,int &srank)
{ {
_ndimension = processors.size(); assert(_ndimension>=1); _ndimension = processors.size();
int parent_ndimension = parent._ndimension; assert(_ndimension >= parent._ndimension); int parent_ndimension = parent._ndimension; assert(_ndimension >= parent._ndimension);
Coordinate parent_processor_coor(_ndimension,0); std::vector<int> parent_processor_coor(_ndimension,0);
Coordinate parent_processors (_ndimension,1); std::vector<int> parent_processors (_ndimension,1);
Coordinate shm_processors (_ndimension,1);
// Can make 5d grid from 4d etc... // Can make 5d grid from 4d etc...
int pad = _ndimension-parent_ndimension; int pad = _ndimension-parent_ndimension;
for(int d=0;d<parent_ndimension;d++){ for(int d=0;d<parent_ndimension;d++){
parent_processor_coor[pad+d]=parent._processor_coor[d]; parent_processor_coor[pad+d]=parent._processor_coor[d];
parent_processors [pad+d]=parent._processors[d]; parent_processors [pad+d]=parent._processors[d];
shm_processors [pad+d]=parent._shm_processors[d];
} }
////////////////////////////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////////////////////////////////
// split the communicator // split the communicator
////////////////////////////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////////////////////////////////
// int Nparent = parent._processors ; // int Nparent = parent._processors ;
// std::cout << " splitting from communicator "<<parent.communicator <<std::endl;
int Nparent; int Nparent;
MPI_Comm_size(parent.communicator,&Nparent); MPI_Comm_size(parent.communicator,&Nparent);
// std::cout << " Parent size "<<Nparent <<std::endl;
int childsize=1; int childsize=1;
for(int d=0;d<processors.size();d++) { for(int d=0;d<processors.size();d++) {
@ -148,25 +136,56 @@ CartesianCommunicator::CartesianCommunicator(const Coordinate &processors,const
int Nchild = Nparent/childsize; int Nchild = Nparent/childsize;
assert (childsize * Nchild == Nparent); assert (childsize * Nchild == Nparent);
Coordinate ccoor(_ndimension); // coor within subcommunicator // std::cout << " child size "<<childsize <<std::endl;
Coordinate scoor(_ndimension); // coor of split within parent
Coordinate ssize(_ndimension); // coor of split within parent std::vector<int> ccoor(_ndimension); // coor within subcommunicator
std::vector<int> scoor(_ndimension); // coor of split within parent
std::vector<int> ssize(_ndimension); // coor of split within parent
for(int d=0;d<_ndimension;d++){ for(int d=0;d<_ndimension;d++){
ccoor[d] = parent_processor_coor[d] % processors[d]; ccoor[d] = parent_processor_coor[d] % processors[d];
scoor[d] = parent_processor_coor[d] / processors[d]; scoor[d] = parent_processor_coor[d] / processors[d];
ssize[d] = parent_processors[d] / processors[d]; ssize[d] = parent_processors[d] / processors[d];
if ( processors[d] < shm_processors[d] ) shm_processors[d] = processors[d]; // subnode splitting.
} }
// rank within subcomm ; srank is rank of subcomm within blocks of subcomms // rank within subcomm ; srank is rank of subcomm within blocks of subcomms
int crank; int crank;
// Mpi uses the reverse Lexico convention to us; so reversed routines called // Mpi uses the reverse Lexico convention to us; so reversed routines called
Lexicographic::IndexFromCoorReversed(ccoor,crank,processors); // processors is the split grid dimensions Lexicographic::IndexFromCoorReversed(ccoor,crank,processors); // processors is the split grid dimensions
Lexicographic::IndexFromCoorReversed(scoor,srank,ssize); // ssize is the number of split grids Lexicographic::IndexFromCoorReversed(scoor,srank,ssize); // ssize is the number of split grids
MPI_Comm comm_split; MPI_Comm comm_split;
if ( Nchild > 1 ) { if ( Nchild > 1 ) {
if(0){
std::cout << GridLogMessage<<"Child communicator of "<< std::hex << parent.communicator << std::dec<<std::endl;
std::cout << GridLogMessage<<" parent grid["<< parent._ndimension<<"] ";
for(int d=0;d<parent._ndimension;d++) std::cout << parent._processors[d] << " ";
std::cout<<std::endl;
std::cout << GridLogMessage<<" child grid["<< _ndimension <<"] ";
for(int d=0;d<processors.size();d++) std::cout << processors[d] << " ";
std::cout<<std::endl;
std::cout << GridLogMessage<<" old rank "<< parent._processor<<" coor ["<< parent._ndimension <<"] ";
for(int d=0;d<parent._ndimension;d++) std::cout << parent._processor_coor[d] << " ";
std::cout<<std::endl;
std::cout << GridLogMessage<<" new split "<< srank<<" scoor ["<< _ndimension <<"] ";
for(int d=0;d<processors.size();d++) std::cout << scoor[d] << " ";
std::cout<<std::endl;
std::cout << GridLogMessage<<" new rank "<< crank<<" coor ["<< _ndimension <<"] ";
for(int d=0;d<processors.size();d++) std::cout << ccoor[d] << " ";
std::cout<<std::endl;
//////////////////////////////////////////////////////////////////////////////////////////////////////
// Declare victory
//////////////////////////////////////////////////////////////////////////////////////////////////////
std::cout << GridLogMessage<<"Divided communicator "<< parent._Nprocessors<<" into "
<< Nchild <<" communicators with " << childsize << " ranks"<<std::endl;
std::cout << " Split communicator " <<comm_split <<std::endl;
}
//////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////
// Split the communicator // Split the communicator
@ -189,13 +208,13 @@ CartesianCommunicator::CartesianCommunicator(const Coordinate &processors,const
// Take the right SHM buffers // Take the right SHM buffers
////////////////////////////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////////////////////////////////
SetCommunicator(comm_split); SetCommunicator(comm_split);
/////////////////////////////////////////////// ///////////////////////////////////////////////
// Free the temp communicator // Free the temp communicator
/////////////////////////////////////////////// ///////////////////////////////////////////////
MPI_Comm_free(&comm_split); MPI_Comm_free(&comm_split);
if(0){ if(0){
std::cout << " ndim " <<_ndimension<<" " << parent._ndimension << std::endl; std::cout << " ndim " <<_ndimension<<" " << parent._ndimension << std::endl;
for(int d=0;d<processors.size();d++){ for(int d=0;d<processors.size();d++){
std::cout << d<< " " << _processor_coor[d] <<" " << ccoor[d]<<std::endl; std::cout << d<< " " << _processor_coor[d] <<" " << ccoor[d]<<std::endl;
@ -206,7 +225,7 @@ CartesianCommunicator::CartesianCommunicator(const Coordinate &processors,const
} }
} }
void CartesianCommunicator::InitFromMPICommunicator(const Coordinate &processors, MPI_Comm communicator_base) void CartesianCommunicator::InitFromMPICommunicator(const std::vector<int> &processors, MPI_Comm communicator_base)
{ {
//////////////////////////////////////////////////// ////////////////////////////////////////////////////
// Creates communicator, and the communicator_halo // Creates communicator, and the communicator_halo
@ -223,7 +242,7 @@ void CartesianCommunicator::InitFromMPICommunicator(const Coordinate &processors
_Nprocessors*=_processors[i]; _Nprocessors*=_processors[i];
} }
Coordinate periodic(_ndimension,1); std::vector<int> periodic(_ndimension,1);
MPI_Cart_create(communicator_base, _ndimension,&_processors[0],&periodic[0],0,&communicator); MPI_Cart_create(communicator_base, _ndimension,&_processors[0],&periodic[0],0,&communicator);
MPI_Comm_rank(communicator,&_processor); MPI_Comm_rank(communicator,&_processor);
MPI_Cart_coords(communicator,_processor,_ndimension,&_processor_coor[0]); MPI_Cart_coords(communicator,_processor,_ndimension,&_processor_coor[0]);
@ -256,27 +275,8 @@ CartesianCommunicator::~CartesianCommunicator()
for(int i=0;i<communicator_halo.size();i++){ for(int i=0;i<communicator_halo.size();i++){
MPI_Comm_free(&communicator_halo[i]); MPI_Comm_free(&communicator_halo[i]);
} }
} }
} }
#ifdef USE_GRID_REDUCTION
void CartesianCommunicator::GlobalSum(float &f){
CartesianCommunicator::GlobalSumP2P(f);
}
void CartesianCommunicator::GlobalSum(double &d)
{
CartesianCommunicator::GlobalSumP2P(d);
}
#else
void CartesianCommunicator::GlobalSum(float &f){
int ierr=MPI_Allreduce(MPI_IN_PLACE,&f,1,MPI_FLOAT,MPI_SUM,communicator);
assert(ierr==0);
}
void CartesianCommunicator::GlobalSum(double &d)
{
int ierr = MPI_Allreduce(MPI_IN_PLACE,&d,1,MPI_DOUBLE,MPI_SUM,communicator);
assert(ierr==0);
}
#endif
void CartesianCommunicator::GlobalSum(uint32_t &u){ void CartesianCommunicator::GlobalSum(uint32_t &u){
int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT32_T,MPI_SUM,communicator); int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT32_T,MPI_SUM,communicator);
assert(ierr==0); assert(ierr==0);
@ -285,10 +285,6 @@ void CartesianCommunicator::GlobalSum(uint64_t &u){
int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT64_T,MPI_SUM,communicator); int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT64_T,MPI_SUM,communicator);
assert(ierr==0); assert(ierr==0);
} }
void CartesianCommunicator::GlobalSumVector(uint64_t* u,int N){
int ierr=MPI_Allreduce(MPI_IN_PLACE,u,N,MPI_UINT64_T,MPI_SUM,communicator);
assert(ierr==0);
}
void CartesianCommunicator::GlobalXOR(uint32_t &u){ void CartesianCommunicator::GlobalXOR(uint32_t &u){
int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT32_T,MPI_BXOR,communicator); int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT32_T,MPI_BXOR,communicator);
assert(ierr==0); assert(ierr==0);
@ -297,14 +293,8 @@ void CartesianCommunicator::GlobalXOR(uint64_t &u){
int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT64_T,MPI_BXOR,communicator); int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT64_T,MPI_BXOR,communicator);
assert(ierr==0); assert(ierr==0);
} }
void CartesianCommunicator::GlobalMax(float &f) void CartesianCommunicator::GlobalSum(float &f){
{ int ierr=MPI_Allreduce(MPI_IN_PLACE,&f,1,MPI_FLOAT,MPI_SUM,communicator);
int ierr=MPI_Allreduce(MPI_IN_PLACE,&f,1,MPI_FLOAT,MPI_MAX,communicator);
assert(ierr==0);
}
void CartesianCommunicator::GlobalMax(double &d)
{
int ierr = MPI_Allreduce(MPI_IN_PLACE,&d,1,MPI_DOUBLE,MPI_MAX,communicator);
assert(ierr==0); assert(ierr==0);
} }
void CartesianCommunicator::GlobalSumVector(float *f,int N) void CartesianCommunicator::GlobalSumVector(float *f,int N)
@ -312,49 +302,16 @@ void CartesianCommunicator::GlobalSumVector(float *f,int N)
int ierr=MPI_Allreduce(MPI_IN_PLACE,f,N,MPI_FLOAT,MPI_SUM,communicator); int ierr=MPI_Allreduce(MPI_IN_PLACE,f,N,MPI_FLOAT,MPI_SUM,communicator);
assert(ierr==0); assert(ierr==0);
} }
void CartesianCommunicator::GlobalSum(double &d)
{
int ierr = MPI_Allreduce(MPI_IN_PLACE,&d,1,MPI_DOUBLE,MPI_SUM,communicator);
assert(ierr==0);
}
void CartesianCommunicator::GlobalSumVector(double *d,int N) void CartesianCommunicator::GlobalSumVector(double *d,int N)
{ {
int ierr = MPI_Allreduce(MPI_IN_PLACE,d,N,MPI_DOUBLE,MPI_SUM,communicator); int ierr = MPI_Allreduce(MPI_IN_PLACE,d,N,MPI_DOUBLE,MPI_SUM,communicator);
assert(ierr==0); assert(ierr==0);
} }
void CartesianCommunicator::SendToRecvFromBegin(std::vector<MpiCommsRequest_t> &list,
void *xmit,
int dest,
void *recv,
int from,
int bytes,int dir)
{
MPI_Request xrq;
MPI_Request rrq;
assert(dest != _processor);
assert(from != _processor);
int tag;
tag= dir+from*32;
int ierr=MPI_Irecv(recv, bytes, MPI_CHAR,from,tag,communicator,&rrq);
assert(ierr==0);
list.push_back(rrq);
tag= dir+_processor*32;
ierr =MPI_Isend(xmit, bytes, MPI_CHAR,dest,tag,communicator,&xrq);
assert(ierr==0);
list.push_back(xrq);
}
void CartesianCommunicator::CommsComplete(std::vector<MpiCommsRequest_t> &list)
{
int nreq=list.size();
if (nreq==0) return;
std::vector<MPI_Status> status(nreq);
int ierr = MPI_Waitall(nreq,&list[0],&status[0]);
assert(ierr==0);
list.resize(0);
}
// Basic Halo comms primitive // Basic Halo comms primitive
void CartesianCommunicator::SendToRecvFrom(void *xmit, void CartesianCommunicator::SendToRecvFrom(void *xmit,
int dest, int dest,
@ -362,58 +319,81 @@ void CartesianCommunicator::SendToRecvFrom(void *xmit,
int from, int from,
int bytes) int bytes)
{ {
std::vector<MpiCommsRequest_t> reqs(0); std::vector<CommsRequest_t> reqs(0);
// unsigned long xcrc = crc32(0L, Z_NULL, 0);
// unsigned long rcrc = crc32(0L, Z_NULL, 0);
// xcrc = crc32(xcrc,(unsigned char *)xmit,bytes);
SendToRecvFromBegin(reqs,xmit,dest,recv,from,bytes);
SendToRecvFromComplete(reqs);
// rcrc = crc32(rcrc,(unsigned char *)recv,bytes);
// printf("proc %d SendToRecvFrom %d bytes %lx %lx\n",_processor,bytes,xcrc,rcrc);
}
void CartesianCommunicator::SendRecvPacket(void *xmit,
void *recv,
int sender,
int receiver,
int bytes)
{
MPI_Status stat;
assert(sender != receiver);
int tag = sender;
if ( _processor == sender ) {
MPI_Send(xmit, bytes, MPI_CHAR,receiver,tag,communicator);
}
if ( _processor == receiver ) {
MPI_Recv(recv, bytes, MPI_CHAR,sender,tag,communicator,&stat);
}
}
// Basic Halo comms primitive
void CartesianCommunicator::SendToRecvFromBegin(std::vector<CommsRequest_t> &list,
void *xmit,
int dest,
void *recv,
int from,
int bytes)
{
int myrank = _processor; int myrank = _processor;
int ierr; int ierr;
// Enforce no UVM in comms, device or host OK if ( CommunicatorPolicy == CommunicatorPolicyConcurrent ) {
assert(acceleratorIsCommunicable(xmit)); MPI_Request xrq;
assert(acceleratorIsCommunicable(recv)); MPI_Request rrq;
// Give the CPU to MPI immediately; can use threads to overlap optionally
// printf("proc %d SendToRecvFrom %d bytes Sendrecv \n",_processor,bytes);
ierr=MPI_Sendrecv(xmit,bytes,MPI_CHAR,dest,myrank,
recv,bytes,MPI_CHAR,from, from,
communicator,MPI_STATUS_IGNORE);
assert(ierr==0);
ierr =MPI_Irecv(recv, bytes, MPI_CHAR,from,from,communicator,&rrq);
ierr|=MPI_Isend(xmit, bytes, MPI_CHAR,dest,_processor,communicator,&xrq);
assert(ierr==0);
list.push_back(xrq);
list.push_back(rrq);
} else {
// Give the CPU to MPI immediately; can use threads to overlap optionally
ierr=MPI_Sendrecv(xmit,bytes,MPI_CHAR,dest,myrank,
recv,bytes,MPI_CHAR,from, from,
communicator,MPI_STATUS_IGNORE);
assert(ierr==0);
}
} }
// Basic Halo comms primitive
double CartesianCommunicator::StencilSendToRecvFrom( void *xmit, double CartesianCommunicator::StencilSendToRecvFrom( void *xmit,
int dest, int dox, int dest,
void *recv, void *recv,
int from, int dor, int from,
int bytes,int dir) int bytes,int dir)
{ {
std::vector<CommsRequest_t> list; std::vector<CommsRequest_t> list;
double offbytes = StencilSendToRecvFromPrepare(list,xmit,dest,dox,recv,from,dor,bytes,bytes,dir); double offbytes = StencilSendToRecvFromBegin(list,xmit,dest,recv,from,bytes,dir);
offbytes += StencilSendToRecvFromBegin(list,xmit,dest,dox,recv,from,dor,bytes,bytes,dir);
StencilSendToRecvFromComplete(list,dir); StencilSendToRecvFromComplete(list,dir);
return offbytes; return offbytes;
} }
#ifdef ACCELERATOR_AWARE_MPI
void CartesianCommunicator::StencilSendToRecvFromPollIRecv(std::vector<CommsRequest_t> &list) {};
void CartesianCommunicator::StencilSendToRecvFromPollDtoH(std::vector<CommsRequest_t> &list) {};
double CartesianCommunicator::StencilSendToRecvFromPrepare(std::vector<CommsRequest_t> &list,
void *xmit,
int dest,int dox,
void *recv,
int from,int dor,
int xbytes,int rbytes,int dir)
{
return 0.0; // Do nothing -- no preparation required
}
double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list, double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
void *xmit, void *xmit,
int dest,int dox, int dest,
void *recv, void *recv,
int from,int dor, int from,
int xbytes,int rbytes,int dir) int bytes,int dir)
{ {
int ncomm =communicator_halo.size(); int ncomm =communicator_halo.size();
int commdir=dir%ncomm; int commdir=dir%ncomm;
MPI_Request xrq; MPI_Request xrq;
@ -428,377 +408,46 @@ double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsReques
assert(from != _processor); assert(from != _processor);
assert(gme == ShmRank); assert(gme == ShmRank);
double off_node_bytes=0.0; double off_node_bytes=0.0;
int tag;
if ( dor ) {
if ( (gfrom ==MPI_UNDEFINED) || Stencil_force_mpi ) {
tag= dir+from*32;
ierr=MPI_Irecv(recv, rbytes, MPI_CHAR,from,tag,communicator_halo[commdir],&rrq);
assert(ierr==0);
list.push_back(rrq);
off_node_bytes+=rbytes;
}
#ifdef NVLINK_GET
else {
void *shm = (void *) this->ShmBufferTranslate(from,xmit);
assert(shm!=NULL);
acceleratorCopyDeviceToDeviceAsynch(shm,recv,rbytes);
}
#endif
}
// This is a NVLINK PUT
if (dox) {
if ( (gdest == MPI_UNDEFINED) || Stencil_force_mpi ) {
tag= dir+_processor*32;
ierr =MPI_Isend(xmit, xbytes, MPI_CHAR,dest,tag,communicator_halo[commdir],&xrq);
assert(ierr==0);
list.push_back(xrq);
off_node_bytes+=xbytes;
} else {
#ifndef NVLINK_GET
void *shm = (void *) this->ShmBufferTranslate(dest,recv);
assert(shm!=NULL);
acceleratorCopyDeviceToDeviceAsynch(xmit,shm,xbytes);
#endif
}
}
return off_node_bytes;
}
void CartesianCommunicator::StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &list,int dir) if ( gfrom ==MPI_UNDEFINED) {
{ ierr=MPI_Irecv(recv, bytes, MPI_CHAR,from,from,communicator_halo[commdir],&rrq);
int nreq=list.size();
/*finishes Get/Put*/
acceleratorCopySynchronise();
if (nreq==0) return;
std::vector<MPI_Status> status(nreq);
int ierr = MPI_Waitall(nreq,&list[0],&status[0]);
assert(ierr==0);
list.resize(0);
this->StencilBarrier();
}
#else /* NOT ... ACCELERATOR_AWARE_MPI */
///////////////////////////////////////////
// Pipeline mode through host memory
///////////////////////////////////////////
/*
* In prepare (phase 1):
* PHASE 1: (prepare)
* - post MPI receive buffers asynch
* - post device - host send buffer transfer asynch
* PHASE 2: (Begin)
* - complete all copies
* - post MPI send asynch
* - post device - device transfers
* PHASE 3: (Complete)
* - MPI_waitall
* - host-device transfers
*
*********************************
* NB could split this further:
*--------------------------------
* PHASE 1: (Prepare)
* - post MPI receive buffers asynch
* - post device - host send buffer transfer asynch
* PHASE 2: (BeginInterNode)
* - complete all copies
* - post MPI send asynch
* PHASE 3: (BeginIntraNode)
* - post device - device transfers
* PHASE 4: (Complete)
* - MPI_waitall
* - host-device transfers asynch
* - (complete all copies)
*/
double CartesianCommunicator::StencilSendToRecvFromPrepare(std::vector<CommsRequest_t> &list,
void *xmit,
int dest,int dox,
void *recv,
int from,int dor,
int xbytes,int rbytes,int dir)
{
/*
* Bring sequence from Stencil.h down to lower level.
* Assume using XeLink is ok
*/
int ncomm =communicator_halo.size();
int commdir=dir%ncomm;
MPI_Request xrq;
MPI_Request rrq;
int ierr;
int gdest = ShmRanks[dest];
int gfrom = ShmRanks[from];
int gme = ShmRanks[_processor];
assert(dest != _processor);
assert(from != _processor);
assert(gme == ShmRank);
double off_node_bytes=0.0;
int tag;
void * host_recv = NULL;
void * host_xmit = NULL;
/*
* PHASE 1: (Prepare)
* - post MPI receive buffers asynch
* - post device - host send buffer transfer asynch
*/
if ( dor ) {
if ( (gfrom ==MPI_UNDEFINED) || Stencil_force_mpi ) {
tag= dir+from*32;
host_recv = this->HostBufferMalloc(rbytes);
ierr=MPI_Irecv(host_recv, rbytes, MPI_CHAR,from,tag,communicator_halo[commdir],&rrq);
assert(ierr==0);
CommsRequest_t srq;
srq.PacketType = InterNodeRecv;
srq.bytes = rbytes;
srq.req = rrq;
srq.host_buf = host_recv;
srq.device_buf = recv;
list.push_back(srq);
off_node_bytes+=rbytes;
}
}
if (dox) {
if ( (gdest == MPI_UNDEFINED) || Stencil_force_mpi ) {
tag= dir+_processor*32;
host_xmit = this->HostBufferMalloc(xbytes);
CommsRequest_t srq;
srq.ev = acceleratorCopyFromDeviceAsynch(xmit, host_xmit,xbytes); // Make this Asynch
// ierr =MPI_Isend(host_xmit, xbytes, MPI_CHAR,dest,tag,communicator_halo[commdir],&xrq);
// assert(ierr==0);
// off_node_bytes+=xbytes;
srq.PacketType = InterNodeXmit;
srq.bytes = xbytes;
// srq.req = xrq;
srq.host_buf = host_xmit;
srq.device_buf = xmit;
srq.tag = tag;
srq.dest = dest;
srq.commdir = commdir;
list.push_back(srq);
}
}
return off_node_bytes;
}
/*
* In the interest of better pipelining, poll for completion on each DtoH and
* start MPI_ISend in the meantime
*/
void CartesianCommunicator::StencilSendToRecvFromPollIRecv(std::vector<CommsRequest_t> &list)
{
int pending = 0;
do {
pending = 0;
for(int idx = 0; idx<list.size();idx++){
if ( list[idx].PacketType==InterNodeRecv ) {
int flag = 0;
MPI_Status status;
int ierr = MPI_Test(&list[idx].req,&flag,&status);
assert(ierr==0);
if ( flag ) {
// std::cout << " PollIrecv "<<idx<<" flag "<<flag<<std::endl;
acceleratorCopyToDeviceAsynch(list[idx].host_buf,list[idx].device_buf,list[idx].bytes);
list[idx].PacketType=InterNodeReceiveHtoD;
} else {
pending ++;
}
}
}
// std::cout << " PollIrecv "<<pending<<" pending requests"<<std::endl;
} while ( pending );
}
void CartesianCommunicator::StencilSendToRecvFromPollDtoH(std::vector<CommsRequest_t> &list)
{
int pending = 0;
do {
pending = 0;
for(int idx = 0; idx<list.size();idx++){
if ( list[idx].PacketType==InterNodeXmit ) {
if ( acceleratorEventIsComplete(list[idx].ev) ) {
void *host_xmit = list[idx].host_buf;
uint32_t xbytes = list[idx].bytes;
int dest = list[idx].dest;
int tag = list[idx].tag;
int commdir = list[idx].commdir;
///////////////////
// Send packet
///////////////////
// std::cout << " DtoH is complete for index "<<idx<<" calling MPI_Isend "<<std::endl;
MPI_Request xrq;
int ierr =MPI_Isend(host_xmit, xbytes, MPI_CHAR,dest,tag,communicator_halo[commdir],&xrq);
assert(ierr==0);
list[idx].req = xrq; // Update the MPI request in the list
list[idx].PacketType=InterNodeXmitISend;
} else {
// not done, so return to polling loop
pending++;
}
}
}
} while (pending);
}
double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
void *xmit,
int dest,int dox,
void *recv,
int from,int dor,
int xbytes,int rbytes,int dir)
{
int ncomm =communicator_halo.size();
int commdir=dir%ncomm;
MPI_Request xrq;
MPI_Request rrq;
int ierr;
int gdest = ShmRanks[dest];
int gfrom = ShmRanks[from];
int gme = ShmRanks[_processor];
assert(dest != _processor);
assert(from != _processor);
assert(gme == ShmRank);
double off_node_bytes=0.0;
int tag;
void * host_xmit = NULL;
////////////////////////////////
// Receives already posted
// Copies already started
////////////////////////////////
/*
* PHASE 2: (Begin)
* - complete all copies
* - post MPI send asynch
*/
#ifdef NVLINK_GET
if ( dor ) {
if ( ! ( (gfrom ==MPI_UNDEFINED) || Stencil_force_mpi ) ) {
// Intranode
void *shm = (void *) this->ShmBufferTranslate(from,xmit);
assert(shm!=NULL);
CommsRequest_t srq;
srq.ev = acceleratorCopyDeviceToDeviceAsynch(shm,recv,rbytes);
srq.PacketType = IntraNodeRecv;
srq.bytes = xbytes;
// srq.req = xrq;
srq.host_buf = NULL;
srq.device_buf = xmit;
srq.tag = -1;
srq.dest = dest;
srq.commdir = dir;
list.push_back(srq);
}
}
#else
if (dox) {
if ( !( (gdest == MPI_UNDEFINED) || Stencil_force_mpi ) ) {
// Intranode
void *shm = (void *) this->ShmBufferTranslate(dest,recv);
assert(shm!=NULL);
CommsRequest_t srq;
srq.ev = acceleratorCopyDeviceToDeviceAsynch(xmit,shm,xbytes);
srq.PacketType = IntraNodeXmit;
srq.bytes = xbytes;
// srq.req = xrq;
srq.host_buf = NULL;
srq.device_buf = xmit;
srq.tag = -1;
srq.dest = dest;
srq.commdir = dir;
list.push_back(srq);
}
}
#endif
return off_node_bytes;
}
void CartesianCommunicator::StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &list,int dir)
{
acceleratorCopySynchronise(); // Complete all pending copy transfers D2D
std::vector<MPI_Status> status;
std::vector<MPI_Request> MpiRequests;
for(int r=0;r<list.size();r++){
// Must check each Send buf is clear to reuse
if ( list[r].PacketType == InterNodeXmitISend ) MpiRequests.push_back(list[r].req);
// if ( list[r].PacketType == InterNodeRecv ) MpiRequests.push_back(list[r].req); // Already "Test" passed
}
int nreq=MpiRequests.size();
if (nreq>0) {
status.resize(MpiRequests.size());
int ierr = MPI_Waitall(MpiRequests.size(),&MpiRequests[0],&status[0]); // Sends are guaranteed in order. No harm in not completing.
assert(ierr==0); assert(ierr==0);
list.push_back(rrq);
off_node_bytes+=bytes;
} }
// for(int r=0;r<nreq;r++){
// if ( list[r].PacketType==InterNodeRecv ) {
// acceleratorCopyToDeviceAsynch(list[r].host_buf,list[r].device_buf,list[r].bytes);
// }
// }
list.resize(0); // Delete the list
this->HostBufferFreeAll(); // Clean up the buffer allocs
#ifndef NVLINK_GET
this->StencilBarrier(); // if PUT must check our nbrs have filled our receive buffers.
#endif
}
#endif
////////////////////////////////////////////
// END PIPELINE MODE / NO CUDA AWARE MPI
////////////////////////////////////////////
if ( gdest == MPI_UNDEFINED ) {
ierr =MPI_Isend(xmit, bytes, MPI_CHAR,dest,_processor,communicator_halo[commdir],&xrq);
assert(ierr==0);
list.push_back(xrq);
off_node_bytes+=bytes;
}
if ( CommunicatorPolicy == CommunicatorPolicySequential ) {
this->StencilSendToRecvFromComplete(list,dir);
}
return off_node_bytes;
}
void CartesianCommunicator::StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &waitall,int dir)
{
SendToRecvFromComplete(waitall);
}
void CartesianCommunicator::StencilBarrier(void) void CartesianCommunicator::StencilBarrier(void)
{ {
MPI_Barrier (ShmComm); MPI_Barrier (ShmComm);
} }
//void CartesianCommunicator::SendToRecvFromComplete(std::vector<CommsRequest_t> &list) void CartesianCommunicator::SendToRecvFromComplete(std::vector<CommsRequest_t> &list)
//{ {
//} int nreq=list.size();
if (nreq==0) return;
std::vector<MPI_Status> status(nreq);
int ierr = MPI_Waitall(nreq,&list[0],&status[0]);
assert(ierr==0);
list.resize(0);
}
void CartesianCommunicator::Barrier(void) void CartesianCommunicator::Barrier(void)
{ {
int ierr = MPI_Barrier(communicator); int ierr = MPI_Barrier(communicator);
@ -813,15 +462,11 @@ void CartesianCommunicator::Broadcast(int root,void* data, int bytes)
communicator); communicator);
assert(ierr==0); assert(ierr==0);
} }
int CartesianCommunicator::RankWorld(void){ int CartesianCommunicator::RankWorld(void){
int r; int r;
MPI_Comm_rank(communicator_world,&r); MPI_Comm_rank(communicator_world,&r);
return r; return r;
} }
void CartesianCommunicator::BarrierWorld(void){
int ierr = MPI_Barrier(communicator_world);
assert(ierr==0);
}
void CartesianCommunicator::BroadcastWorld(int root,void* data, int bytes) void CartesianCommunicator::BroadcastWorld(int root,void* data, int bytes)
{ {
int ierr= MPI_Bcast(data, int ierr= MPI_Bcast(data,
@ -834,7 +479,7 @@ void CartesianCommunicator::BroadcastWorld(int root,void* data, int bytes)
void CartesianCommunicator::AllToAll(int dim,void *in,void *out,uint64_t words,uint64_t bytes) void CartesianCommunicator::AllToAll(int dim,void *in,void *out,uint64_t words,uint64_t bytes)
{ {
Coordinate row(_ndimension,1); std::vector<int> row(_ndimension,1);
assert(dim>=0 && dim<_ndimension); assert(dim>=0 && dim<_ndimension);
// Split the communicator // Split the communicator
@ -851,7 +496,7 @@ void CartesianCommunicator::AllToAll(void *in,void *out,uint64_t words,uint64_t
// When 24*4 bytes multiples get 50x 10^9 >>> 2x10^9 Y2K bug. // When 24*4 bytes multiples get 50x 10^9 >>> 2x10^9 Y2K bug.
// (Turns up on 32^3 x 64 Gparity too) // (Turns up on 32^3 x 64 Gparity too)
MPI_Datatype object; MPI_Datatype object;
int iwords; int iwords;
int ibytes; int ibytes;
iwords = words; iwords = words;
ibytes = bytes; ibytes = bytes;
@ -863,4 +508,7 @@ void CartesianCommunicator::AllToAll(void *in,void *out,uint64_t words,uint64_t
MPI_Type_free(&object); MPI_Type_free(&object);
} }
NAMESPACE_END(Grid);
}

View File

@ -1,4 +1,4 @@
/************************************************************************************* /*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid Grid physics library, www.github.com/paboyle/Grid
@ -23,11 +23,11 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
#include <Grid/GridCore.h> #include <Grid/GridCore.h>
NAMESPACE_BEGIN(Grid); namespace Grid {
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
// Info that is setup once and indept of cartesian layout // Info that is setup once and indept of cartesian layout
@ -38,23 +38,21 @@ void CartesianCommunicator::Init(int *argc, char *** arv)
{ {
GlobalSharedMemory::Init(communicator_world); GlobalSharedMemory::Init(communicator_world);
GlobalSharedMemory::SharedMemoryAllocate( GlobalSharedMemory::SharedMemoryAllocate(
GlobalSharedMemory::MAX_MPI_SHM_BYTES, GlobalSharedMemory::MAX_MPI_SHM_BYTES,
GlobalSharedMemory::Hugepages); GlobalSharedMemory::Hugepages);
} }
CartesianCommunicator::CartesianCommunicator(const Coordinate &processors,const CartesianCommunicator &parent,int &srank) CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors,const CartesianCommunicator &parent,int &srank)
: CartesianCommunicator(processors) : CartesianCommunicator(processors)
{ {
_shm_processors = Coordinate(processors.size(),1);
srank=0; srank=0;
SetCommunicator(communicator_world); SetCommunicator(communicator_world);
} }
CartesianCommunicator::CartesianCommunicator(const Coordinate &processors) CartesianCommunicator::CartesianCommunicator(const std::vector<int> &processors)
{ {
_shm_processors = Coordinate(processors.size(),1);
_processors = processors; _processors = processors;
_ndimension = processors.size(); assert(_ndimension>=1); _ndimension = processors.size();
_processor_coor.resize(_ndimension); _processor_coor.resize(_ndimension);
// Require 1^N processor grid for fake // Require 1^N processor grid for fake
@ -69,18 +67,24 @@ CartesianCommunicator::CartesianCommunicator(const Coordinate &processors)
CartesianCommunicator::~CartesianCommunicator(){} CartesianCommunicator::~CartesianCommunicator(){}
void CartesianCommunicator::GlobalMax(float &){}
void CartesianCommunicator::GlobalMax(double &){}
void CartesianCommunicator::GlobalSum(float &){} void CartesianCommunicator::GlobalSum(float &){}
void CartesianCommunicator::GlobalSumVector(float *,int N){} void CartesianCommunicator::GlobalSumVector(float *,int N){}
void CartesianCommunicator::GlobalSum(double &){} void CartesianCommunicator::GlobalSum(double &){}
void CartesianCommunicator::GlobalSumVector(double *,int N){}
void CartesianCommunicator::GlobalSum(uint32_t &){} void CartesianCommunicator::GlobalSum(uint32_t &){}
void CartesianCommunicator::GlobalSum(uint64_t &){} void CartesianCommunicator::GlobalSum(uint64_t &){}
void CartesianCommunicator::GlobalSumVector(uint64_t *,int N){} void CartesianCommunicator::GlobalSumVector(double *,int N){}
void CartesianCommunicator::GlobalXOR(uint32_t &){} void CartesianCommunicator::GlobalXOR(uint32_t &){}
void CartesianCommunicator::GlobalXOR(uint64_t &){} void CartesianCommunicator::GlobalXOR(uint64_t &){}
void CartesianCommunicator::SendRecvPacket(void *xmit,
void *recv,
int xmit_to_rank,
int recv_from_rank,
int bytes)
{
assert(0);
}
// Basic Halo comms primitive -- should never call in single node // Basic Halo comms primitive -- should never call in single node
void CartesianCommunicator::SendToRecvFrom(void *xmit, void CartesianCommunicator::SendToRecvFrom(void *xmit,
@ -91,17 +95,20 @@ void CartesianCommunicator::SendToRecvFrom(void *xmit,
{ {
assert(0); assert(0);
} }
void CartesianCommunicator::CommsComplete(std::vector<CommsRequest_t> &list){ assert(list.size()==0);}
void CartesianCommunicator::SendToRecvFromBegin(std::vector<CommsRequest_t> &list, void CartesianCommunicator::SendToRecvFromBegin(std::vector<CommsRequest_t> &list,
void *xmit, void *xmit,
int dest, int dest,
void *recv, void *recv,
int from, int from,
int bytes,int dir) int bytes)
{ {
assert(0); assert(0);
} }
void CartesianCommunicator::SendToRecvFromComplete(std::vector<CommsRequest_t> &list)
{
assert(0);
}
void CartesianCommunicator::AllToAll(int dim,void *in,void *out,uint64_t words,uint64_t bytes) void CartesianCommunicator::AllToAll(int dim,void *in,void *out,uint64_t words,uint64_t bytes)
{ {
bcopy(in,out,bytes*words); bcopy(in,out,bytes*words);
@ -115,9 +122,8 @@ int CartesianCommunicator::RankWorld(void){return 0;}
void CartesianCommunicator::Barrier(void){} void CartesianCommunicator::Barrier(void){}
void CartesianCommunicator::Broadcast(int root,void* data, int bytes) {} void CartesianCommunicator::Broadcast(int root,void* data, int bytes) {}
void CartesianCommunicator::BroadcastWorld(int root,void* data, int bytes) { } void CartesianCommunicator::BroadcastWorld(int root,void* data, int bytes) { }
void CartesianCommunicator::BarrierWorld(void) { } int CartesianCommunicator::RankFromProcessorCoor(std::vector<int> &coor) { return 0;}
int CartesianCommunicator::RankFromProcessorCoor(Coordinate &coor) { return 0;} void CartesianCommunicator::ProcessorCoorFromRank(int rank, std::vector<int> &coor){ coor = _processor_coor; }
void CartesianCommunicator::ProcessorCoorFromRank(int rank, Coordinate &coor){ coor = _processor_coor; }
void CartesianCommunicator::ShiftedRanks(int dim,int shift,int &source,int &dest) void CartesianCommunicator::ShiftedRanks(int dim,int shift,int &source,int &dest)
{ {
source =0; source =0;
@ -125,39 +131,35 @@ void CartesianCommunicator::ShiftedRanks(int dim,int shift,int &source,int &dest
} }
double CartesianCommunicator::StencilSendToRecvFrom( void *xmit, double CartesianCommunicator::StencilSendToRecvFrom( void *xmit,
int xmit_to_rank,int dox, int xmit_to_rank,
void *recv, void *recv,
int recv_from_rank,int dor, int recv_from_rank,
int bytes, int dir) int bytes, int dir)
{ {
std::vector<CommsRequest_t> list;
// Discard the "dir"
SendToRecvFromBegin (list,xmit,xmit_to_rank,recv,recv_from_rank,bytes);
SendToRecvFromComplete(list);
return 2.0*bytes; return 2.0*bytes;
} }
void CartesianCommunicator::StencilSendToRecvFromPollIRecv(std::vector<CommsRequest_t> &list) {};
void CartesianCommunicator::StencilSendToRecvFromPollDtoH(std::vector<CommsRequest_t> &list) {};
double CartesianCommunicator::StencilSendToRecvFromPrepare(std::vector<CommsRequest_t> &list,
void *xmit,
int xmit_to_rank,int dox,
void *recv,
int recv_from_rank,int dor,
int xbytes,int rbytes, int dir)
{
return 0.0;
}
double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list, double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
void *xmit, void *xmit,
int xmit_to_rank,int dox, int xmit_to_rank,
void *recv, void *recv,
int recv_from_rank,int dor, int recv_from_rank,
int xbytes,int rbytes, int dir) int bytes, int dir)
{ {
return xbytes+rbytes; // Discard the "dir"
SendToRecvFromBegin(list,xmit,xmit_to_rank,recv,recv_from_rank,bytes);
return 2.0*bytes;
} }
void CartesianCommunicator::StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &waitall,int dir) void CartesianCommunicator::StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &waitall,int dir)
{ {
SendToRecvFromComplete(waitall);
} }
void CartesianCommunicator::StencilBarrier(void){}; void CartesianCommunicator::StencilBarrier(void){};
NAMESPACE_END(Grid);
}

View File

@ -28,11 +28,10 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
#include <Grid/GridCore.h> #include <Grid/GridCore.h>
NAMESPACE_BEGIN(Grid); namespace Grid {
// static data // static data
int GlobalSharedMemory::HPEhypercube = 1;
uint64_t GlobalSharedMemory::MAX_MPI_SHM_BYTES = 1024LL*1024LL*1024LL; uint64_t GlobalSharedMemory::MAX_MPI_SHM_BYTES = 1024LL*1024LL*1024LL;
int GlobalSharedMemory::Hugepages = 0; int GlobalSharedMemory::Hugepages = 0;
int GlobalSharedMemory::_ShmSetup; int GlobalSharedMemory::_ShmSetup;
@ -40,9 +39,6 @@ int GlobalSharedMemory::_ShmAlloc;
uint64_t GlobalSharedMemory::_ShmAllocBytes; uint64_t GlobalSharedMemory::_ShmAllocBytes;
std::vector<void *> GlobalSharedMemory::WorldShmCommBufs; std::vector<void *> GlobalSharedMemory::WorldShmCommBufs;
#ifndef ACCELERATOR_AWARE_MPI
void * GlobalSharedMemory::HostCommBuf;
#endif
Grid_MPI_Comm GlobalSharedMemory::WorldShmComm; Grid_MPI_Comm GlobalSharedMemory::WorldShmComm;
int GlobalSharedMemory::WorldShmRank; int GlobalSharedMemory::WorldShmRank;
@ -69,26 +65,6 @@ void GlobalSharedMemory::SharedMemoryFree(void)
///////////////////////////////// /////////////////////////////////
// Alloc, free shmem region // Alloc, free shmem region
///////////////////////////////// /////////////////////////////////
#ifndef ACCELERATOR_AWARE_MPI
void *SharedMemory::HostBufferMalloc(size_t bytes){
void *ptr = (void *)host_heap_top;
host_heap_top += bytes;
host_heap_bytes+= bytes;
if (host_heap_bytes >= host_heap_size) {
std::cout<< " HostBufferMalloc exceeded heap size -- try increasing with --shm <MB> flag" <<std::endl;
std::cout<< " Parameter specified in units of MB (megabytes) " <<std::endl;
std::cout<< " Current alloc is " << (bytes/(1024*1024)) <<"MB"<<std::endl;
std::cout<< " Current bytes is " << (host_heap_bytes/(1024*1024)) <<"MB"<<std::endl;
std::cout<< " Current heap is " << (host_heap_size/(1024*1024)) <<"MB"<<std::endl;
assert(host_heap_bytes<host_heap_size);
}
return ptr;
}
void SharedMemory::HostBufferFreeAll(void) {
host_heap_top =(size_t)HostCommBuf;
host_heap_bytes=0;
}
#endif
void *SharedMemory::ShmBufferMalloc(size_t bytes){ void *SharedMemory::ShmBufferMalloc(size_t bytes){
// bytes = (bytes+sizeof(vRealD))&(~(sizeof(vRealD)-1));// align up bytes // bytes = (bytes+sizeof(vRealD))&(~(sizeof(vRealD)-1));// align up bytes
void *ptr = (void *)heap_top; void *ptr = (void *)heap_top;
@ -97,12 +73,9 @@ void *SharedMemory::ShmBufferMalloc(size_t bytes){
if (heap_bytes >= heap_size) { if (heap_bytes >= heap_size) {
std::cout<< " ShmBufferMalloc exceeded shared heap size -- try increasing with --shm <MB> flag" <<std::endl; std::cout<< " ShmBufferMalloc exceeded shared heap size -- try increasing with --shm <MB> flag" <<std::endl;
std::cout<< " Parameter specified in units of MB (megabytes) " <<std::endl; std::cout<< " Parameter specified in units of MB (megabytes) " <<std::endl;
std::cout<< " Current alloc is " << (bytes/(1024*1024)) <<"MB"<<std::endl; std::cout<< " Current value is " << (heap_size/(1024*1024)) <<std::endl;
std::cout<< " Current bytes is " << (heap_bytes/(1024*1024)) <<"MB"<<std::endl;
std::cout<< " Current heap is " << (heap_size/(1024*1024)) <<"MB"<<std::endl;
assert(heap_bytes<heap_size); assert(heap_bytes<heap_size);
} }
//std::cerr << "ShmBufferMalloc "<<std::hex<< ptr<<" - "<<((uint64_t)ptr+bytes)<<std::dec<<std::endl;
return ptr; return ptr;
} }
void SharedMemory::ShmBufferFreeAll(void) { void SharedMemory::ShmBufferFreeAll(void) {
@ -111,62 +84,9 @@ void SharedMemory::ShmBufferFreeAll(void) {
} }
void *SharedMemory::ShmBufferSelf(void) void *SharedMemory::ShmBufferSelf(void)
{ {
//std::cerr << "ShmBufferSelf "<<ShmRank<<" "<<std::hex<< ShmCommBufs[ShmRank] <<std::dec<<std::endl;
return ShmCommBufs[ShmRank]; return ShmCommBufs[ShmRank];
} }
static inline int divides(int a,int b)
{
return ( b == ( (b/a)*a ) );
} }
void GlobalSharedMemory::GetShmDims(const Coordinate &WorldDims,Coordinate &ShmDims)
{
////////////////////////////////////////////////////////////////
// Allow user to configure through environment variable
////////////////////////////////////////////////////////////////
char* str = getenv(("GRID_SHM_DIMS_" + std::to_string(ShmDims.size())).c_str());
if ( str ) {
std::vector<int> IntShmDims;
GridCmdOptionIntVector(std::string(str),IntShmDims);
assert(IntShmDims.size() == WorldDims.size());
long ShmSize = 1;
for (int dim=0;dim<WorldDims.size();dim++) {
ShmSize *= (ShmDims[dim] = IntShmDims[dim]);
assert(divides(ShmDims[dim],WorldDims[dim]));
}
assert(ShmSize == WorldShmSize);
return;
}
////////////////////////////////////////////////////////////////
// Powers of 2,3,5 only in prime decomposition for now
////////////////////////////////////////////////////////////////
int ndimension = WorldDims.size();
ShmDims=Coordinate(ndimension,1);
std::vector<int> primes({2,3,5});
int dim = 0;
int last_dim = ndimension - 1;
int AutoShmSize = 1;
while(AutoShmSize != WorldShmSize) {
int p;
for(p=0;p<primes.size();p++) {
int prime=primes[p];
if ( divides(prime,WorldDims[dim]/ShmDims[dim])
&& divides(prime,WorldShmSize/AutoShmSize) ) {
AutoShmSize*=prime;
ShmDims[dim]*=prime;
last_dim = dim;
break;
}
}
if (p == primes.size() && last_dim == dim) {
std::cerr << "GlobalSharedMemory::GetShmDims failed" << std::endl;
exit(EXIT_FAILURE);
}
dim=(dim+1) %ndimension;
}
}
NAMESPACE_END(Grid);

View File

@ -25,6 +25,18 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
See the full license in the file "LICENSE" in the top level distribution directory See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/ *************************************************************************************/
/* END LEGAL */ /* END LEGAL */
// TODO
// 1) move includes into SharedMemory.cc
//
// 2) split shared memory into a) optimal communicator creation from comm world
//
// b) shared memory buffers container
// -- static globally shared; init once
// -- per instance set of buffers.
//
#pragma once #pragma once
#include <Grid/GridCore.h> #include <Grid/GridCore.h>
@ -41,65 +53,30 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
#include <sys/shm.h> #include <sys/shm.h>
#include <sys/mman.h> #include <sys/mman.h>
#include <zlib.h> #include <zlib.h>
#ifdef HAVE_NUMAIF_H
NAMESPACE_BEGIN(Grid); #include <numaif.h>
#if defined (GRID_COMMS_MPI3)
typedef MPI_Comm Grid_MPI_Comm;
typedef MPI_Request MpiCommsRequest_t;
#ifdef ACCELERATOR_AWARE_MPI
typedef MPI_Request CommsRequest_t;
#else
/*
* Enable state transitions as each packet flows.
*/
enum PacketType_t {
FaceGather,
InterNodeXmit,
InterNodeRecv,
IntraNodeXmit,
IntraNodeRecv,
InterNodeXmitISend,
InterNodeReceiveHtoD
};
/*
*Package arguments needed for various actions along packet flow
*/
typedef struct {
PacketType_t PacketType;
void *host_buf;
void *device_buf;
int dest;
int tag;
int commdir;
unsigned long bytes;
acceleratorEvent_t ev;
MpiCommsRequest_t req;
} CommsRequest_t;
#endif #endif
namespace Grid {
#if defined (GRID_COMMS_MPI3)
typedef MPI_Comm Grid_MPI_Comm;
typedef MPI_Request CommsRequest_t;
#else #else
typedef int MpiCommsRequest_t; typedef int CommsRequest_t;
typedef int CommsRequest_t; typedef int Grid_MPI_Comm;
typedef int Grid_MPI_Comm;
#endif #endif
class GlobalSharedMemory { class GlobalSharedMemory {
private: private:
static const int MAXLOG2RANKSPERNODE = 16; static const int MAXLOG2RANKSPERNODE = 16;
// Init once lock on the buffer allocation // Init once lock on the buffer allocation
static int _ShmSetup; static int _ShmSetup;
static int _ShmAlloc; static int _ShmAlloc;
static uint64_t _ShmAllocBytes; static uint64_t _ShmAllocBytes;
public: public:
///////////////////////////////////////
// HPE 8600 hypercube optimisation
///////////////////////////////////////
static int HPEhypercube;
static int ShmSetup(void) { return _ShmSetup; } static int ShmSetup(void) { return _ShmSetup; }
static int ShmAlloc(void) { return _ShmAlloc; } static int ShmAlloc(void) { return _ShmAlloc; }
static uint64_t ShmAllocBytes(void) { return _ShmAllocBytes; } static uint64_t ShmAllocBytes(void) { return _ShmAllocBytes; }
@ -107,9 +84,7 @@ public:
static int Hugepages; static int Hugepages;
static std::vector<void *> WorldShmCommBufs; static std::vector<void *> WorldShmCommBufs;
#ifndef ACCELERATOR_AWARE_MPI
static void *HostCommBuf;
#endif
static Grid_MPI_Comm WorldComm; static Grid_MPI_Comm WorldComm;
static int WorldRank; static int WorldRank;
static int WorldSize; static int WorldSize;
@ -127,18 +102,12 @@ public:
// Create an optimal reordered communicator that makes MPI_Cart_create get it right // Create an optimal reordered communicator that makes MPI_Cart_create get it right
////////////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////////////////
static void Init(Grid_MPI_Comm comm); // Typically MPI_COMM_WORLD static void Init(Grid_MPI_Comm comm); // Typically MPI_COMM_WORLD
// Turns MPI_COMM_WORLD into right layout for Cartesian static void OptimalCommunicator(const std::vector<int> &processors,Grid_MPI_Comm & optimal_comm); // Turns MPI_COMM_WORLD into right layout for Cartesian
static void OptimalCommunicator (const Coordinate &processors,Grid_MPI_Comm & optimal_comm,Coordinate &ShmDims);
static void OptimalCommunicatorHypercube (const Coordinate &processors,Grid_MPI_Comm & optimal_comm,Coordinate &ShmDims);
static void OptimalCommunicatorSharedMemory(const Coordinate &processors,Grid_MPI_Comm & optimal_comm,Coordinate &ShmDims);
static void GetShmDims(const Coordinate &WorldDims,Coordinate &ShmDims);
/////////////////////////////////////////////////// ///////////////////////////////////////////////////
// Provide shared memory facilities off comm world // Provide shared memory facilities off comm world
/////////////////////////////////////////////////// ///////////////////////////////////////////////////
static void SharedMemoryAllocate(uint64_t bytes, int flags); static void SharedMemoryAllocate(uint64_t bytes, int flags);
static void SharedMemoryFree(void); static void SharedMemoryFree(void);
// static void SharedMemoryCopy(void *dest,void *src,size_t bytes);
static void SharedMemoryZero(void *dest,size_t bytes);
}; };
@ -147,21 +116,14 @@ public:
////////////////////////////// //////////////////////////////
class SharedMemory class SharedMemory
{ {
private: private:
static const int MAXLOG2RANKSPERNODE = 16; static const int MAXLOG2RANKSPERNODE = 16;
size_t heap_top; size_t heap_top;
size_t heap_bytes; size_t heap_bytes;
size_t heap_size; size_t heap_size;
#ifndef ACCELERATOR_AWARE_MPI protected:
size_t host_heap_top; // set in free all
size_t host_heap_bytes;// set in free all
void *HostCommBuf; // set in SetCommunicator
size_t host_heap_size; // set in SetCommunicator
#endif
protected:
Grid_MPI_Comm ShmComm; // for barriers Grid_MPI_Comm ShmComm; // for barriers
int ShmRank; int ShmRank;
@ -169,7 +131,7 @@ protected:
std::vector<void *> ShmCommBufs; std::vector<void *> ShmCommBufs;
std::vector<int> ShmRanks;// Mapping comm ranks to Shm ranks std::vector<int> ShmRanks;// Mapping comm ranks to Shm ranks
public: public:
SharedMemory() {}; SharedMemory() {};
~SharedMemory(); ~SharedMemory();
/////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////
@ -186,16 +148,12 @@ public:
// Call on any instance // Call on any instance
/////////////////////////////////////////////////// ///////////////////////////////////////////////////
void SharedMemoryTest(void); void SharedMemoryTest(void);
void *ShmBufferSelf(void); void *ShmBufferSelf(void);
void *ShmBuffer (int rank); void *ShmBuffer (int rank);
void *ShmBufferTranslate(int rank,void * local_p); void *ShmBufferTranslate(int rank,void * local_p);
void *ShmBufferMalloc(size_t bytes); void *ShmBufferMalloc(size_t bytes);
void ShmBufferFreeAll(void) ; void ShmBufferFreeAll(void) ;
#ifndef ACCELERATOR_AWARE_MPI
void *HostBufferMalloc(size_t bytes);
void HostBufferFreeAll(void);
#endif
////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////
// Make info on Nodes & ranks and Shared memory available // Make info on Nodes & ranks and Shared memory available
////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////
@ -204,5 +162,4 @@ public:
}; };
NAMESPACE_END(Grid); }

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