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https://github.com/paboyle/Grid.git
synced 2024-11-10 07:55:35 +00:00
Merge remote-tracking branch 'upstream/develop' into develop
This commit is contained in:
commit
11ee8a1061
@ -73,6 +73,7 @@ void GlobalSharedMemory::Init(Grid_MPI_Comm comm)
|
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WorldNodes = WorldSize/WorldShmSize;
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assert( (WorldNodes * WorldShmSize) == WorldSize );
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// FIXME: Check all WorldShmSize are the same ?
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/////////////////////////////////////////////////////////////////////
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@ -451,7 +452,8 @@ void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
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////////////////////////////////////////////////////////////////////////////////////////////
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#if defined(GRID_CUDA) ||defined(GRID_HIP) || defined(GRID_SYCL)
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#if defined(GRID_SYCL)
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//if defined(GRID_SYCL)
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#if 0
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void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
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{
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void * ShmCommBuf ;
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@ -488,7 +490,7 @@ void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
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}
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#endif
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#if defined(GRID_CUDA) ||defined(GRID_HIP)
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#if defined(GRID_CUDA) ||defined(GRID_HIP) ||defined(GRID_SYCL)
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void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
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{
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void * ShmCommBuf ;
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@ -511,8 +513,16 @@ void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
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///////////////////////////////////////////////////////////////////////////////////////////////////////////
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// Each MPI rank should allocate our own buffer
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///////////////////////////////////////////////////////////////////////////////////////////////////////////
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#ifdef GRID_SYCL_LEVEL_ZERO_IPC
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auto zeDevice = cl::sycl::get_native<cl::sycl::backend::level_zero>(theGridAccelerator->get_device());
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auto zeContext= cl::sycl::get_native<cl::sycl::backend::level_zero>(theGridAccelerator->get_context());
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ze_device_mem_alloc_desc_t zeDesc = {};
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zeMemAllocDevice(zeContext,&zeDesc,bytes,2*1024*1024,zeDevice,&ShmCommBuf);
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std::cout << WorldRank << header " SharedMemoryMPI.cc zeMemAllocDevice "<< bytes
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<< "bytes at "<< std::hex<< ShmCommBuf <<std::dec<<" for comms buffers " <<std::endl;
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#else
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ShmCommBuf = acceleratorAllocDevice(bytes);
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#endif
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if (ShmCommBuf == (void *)NULL ) {
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std::cerr << " SharedMemoryMPI.cc acceleratorAllocDevice failed NULL pointer for " << bytes<<" bytes " << std::endl;
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exit(EXIT_FAILURE);
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@ -522,8 +532,8 @@ void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
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std::cout << WorldRank << header " SharedMemoryMPI.cc acceleratorAllocDevice "<< bytes
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<< "bytes at "<< std::hex<< ShmCommBuf <<std::dec<<" for comms buffers " <<std::endl;
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}
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SharedMemoryZero(ShmCommBuf,bytes);
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// SharedMemoryZero(ShmCommBuf,bytes);
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std::cout<< "Setting up IPC"<<std::endl;
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///////////////////////////////////////////////////////////////////////////////////////////////////////////
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// Loop over ranks/gpu's on our node
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///////////////////////////////////////////////////////////////////////////////////////////////////////////
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@ -533,6 +543,23 @@ void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
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//////////////////////////////////////////////////
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// If it is me, pass around the IPC access key
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//////////////////////////////////////////////////
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#ifdef GRID_SYCL_LEVEL_ZERO_IPC
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ze_ipc_mem_handle_t handle;
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if ( r==WorldShmRank ) {
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auto err = zeMemGetIpcHandle(zeContext,ShmCommBuf,&handle);
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if ( err != ZE_RESULT_SUCCESS ) {
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std::cerr << "SharedMemoryMPI.cc zeMemGetIpcHandle failed for rank "<<r<<" "<<std::hex<<err<<std::dec<<std::endl;
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exit(EXIT_FAILURE);
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} else {
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std::cerr << "SharedMemoryMPI.cc zeMemGetIpcHandle succeeded for rank "<<r<<" "<<std::hex<<err<<std::dec<<std::endl;
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}
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std::cerr<<"Allocated IpcHandle rank "<<r<<" (hex) ";
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for(int c=0;c<ZE_MAX_IPC_HANDLE_SIZE;c++){
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std::cerr<<std::hex<<(uint32_t)((uint8_t)handle.data[c])<<std::dec;
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}
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std::cerr<<std::endl;
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}
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#endif
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#ifdef GRID_CUDA
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cudaIpcMemHandle_t handle;
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if ( r==WorldShmRank ) {
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@ -569,6 +596,25 @@ void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
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// If I am not the source, overwrite thisBuf with remote buffer
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///////////////////////////////////////////////////////////////
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void * thisBuf = ShmCommBuf;
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#ifdef GRID_SYCL_LEVEL_ZERO_IPC
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if ( r!=WorldShmRank ) {
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thisBuf = nullptr;
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std::cerr<<"Using IpcHandle rank "<<r<<" ";
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for(int c=0;c<ZE_MAX_IPC_HANDLE_SIZE;c++){
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std::cerr<<std::hex<<(uint32_t)((uint8_t)handle.data[c])<<std::dec;
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}
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std::cerr<<std::endl;
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auto err = zeMemOpenIpcHandle(zeContext,zeDevice,handle,0,&thisBuf);
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if ( err != ZE_RESULT_SUCCESS ) {
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std::cerr << "SharedMemoryMPI.cc "<<zeContext<<" "<<zeDevice<<std::endl;
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std::cerr << "SharedMemoryMPI.cc zeMemOpenIpcHandle failed for rank "<<r<<" "<<std::hex<<err<<std::dec<<std::endl;
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exit(EXIT_FAILURE);
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} else {
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std::cerr << "SharedMemoryMPI.cc zeMemOpenIpcHandle succeeded for rank "<<r<<" "<<std::hex<<err<<std::dec<<std::endl;
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}
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assert(thisBuf!=nullptr);
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}
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#endif
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#ifdef GRID_CUDA
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if ( r!=WorldShmRank ) {
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auto err = cudaIpcOpenMemHandle(&thisBuf,handle,cudaIpcMemLazyEnablePeerAccess);
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@ -844,7 +890,7 @@ void SharedMemory::SetCommunicator(Grid_MPI_Comm comm)
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}
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#endif
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SharedMemoryTest();
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//SharedMemoryTest();
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}
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//////////////////////////////////////////////////////////////////
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// On node barrier
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|
@ -171,7 +171,6 @@ void acceleratorInit(void)
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#ifdef GRID_SYCL
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cl::sycl::queue *theGridAccelerator;
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void acceleratorInit(void)
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{
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int nDevices = 1;
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@ -179,6 +178,10 @@ void acceleratorInit(void)
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cl::sycl::device selectedDevice { selector };
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theGridAccelerator = new sycl::queue (selectedDevice);
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#ifdef GRID_SYCL_LEVEL_ZERO_IPC
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zeInit(0);
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#endif
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char * localRankStr = NULL;
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int rank = 0, world_rank=0;
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#define ENV_LOCAL_RANK_OMPI "OMPI_COMM_WORLD_LOCAL_RANK"
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|
@ -39,6 +39,10 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
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#ifdef HAVE_MM_MALLOC_H
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#include <mm_malloc.h>
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#endif
|
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#ifdef __APPLE__
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// no memalign
|
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inline void *memalign(size_t align, size_t bytes) { return malloc(bytes); }
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#endif
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NAMESPACE_BEGIN(Grid);
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@ -233,6 +237,13 @@ inline int acceleratorIsCommunicable(void *ptr)
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NAMESPACE_END(Grid);
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#include <CL/sycl.hpp>
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#include <CL/sycl/usm.hpp>
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#define GRID_SYCL_LEVEL_ZERO_IPC
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#ifdef GRID_SYCL_LEVEL_ZERO_IPC
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#include <level_zero/ze_api.h>
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#include <CL/sycl/backend/level_zero.hpp>
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#endif
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NAMESPACE_BEGIN(Grid);
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extern cl::sycl::queue *theGridAccelerator;
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@ -412,6 +423,8 @@ inline void acceleratorMemSet(void *base,int value,size_t bytes) { hipMemset(bas
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#undef GRID_SIMT
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|
||||
#define accelerator
|
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#define accelerator_inline strong_inline
|
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#define accelerator_for(iterator,num,nsimd, ... ) thread_for(iterator, num, { __VA_ARGS__ });
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|
@ -56,6 +56,8 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
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static int
|
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feenableexcept (unsigned int excepts)
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{
|
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#if 0
|
||||
// Fails on Apple M1
|
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static fenv_t fenv;
|
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unsigned int new_excepts = excepts & FE_ALL_EXCEPT;
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unsigned int old_excepts; // previous masks
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@ -70,6 +72,8 @@ feenableexcept (unsigned int excepts)
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iold_excepts = (int) old_excepts;
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return ( fesetenv (&fenv) ? -1 : iold_excepts );
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#endif
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return 0;
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}
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#endif
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|
@ -1,5 +1,5 @@
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# additional include paths necessary to compile the C++ library
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SUBDIRS = Grid HMC benchmarks tests
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SUBDIRS = Grid HMC benchmarks tests examples
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include $(top_srcdir)/doxygen.inc
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|
@ -133,34 +133,30 @@ public:
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std::vector<HalfSpinColourVectorD *> xbuf(8);
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std::vector<HalfSpinColourVectorD *> rbuf(8);
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Grid.ShmBufferFreeAll();
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//Grid.ShmBufferFreeAll();
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uint64_t bytes=lat*lat*lat*Ls*sizeof(HalfSpinColourVectorD);
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for(int d=0;d<8;d++){
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xbuf[d] = (HalfSpinColourVectorD *)Grid.ShmBufferMalloc(lat*lat*lat*Ls*sizeof(HalfSpinColourVectorD));
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rbuf[d] = (HalfSpinColourVectorD *)Grid.ShmBufferMalloc(lat*lat*lat*Ls*sizeof(HalfSpinColourVectorD));
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xbuf[d] = (HalfSpinColourVectorD *)acceleratorAllocDevice(bytes);
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rbuf[d] = (HalfSpinColourVectorD *)acceleratorAllocDevice(bytes);
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// bzero((void *)xbuf[d],lat*lat*lat*Ls*sizeof(HalfSpinColourVectorD));
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// bzero((void *)rbuf[d],lat*lat*lat*Ls*sizeof(HalfSpinColourVectorD));
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}
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int bytes=lat*lat*lat*Ls*sizeof(HalfSpinColourVectorD);
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int ncomm;
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double dbytes;
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std::vector<double> times(Nloop);
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for(int i=0;i<Nloop;i++){
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double start=usecond();
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for(int dir=0;dir<8;dir++) {
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int mu =dir % 4;
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if (mpi_layout[mu]>1 ) {
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dbytes=0;
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ncomm=0;
|
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std::vector<double> times(Nloop);
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for(int i=0;i<Nloop;i++){
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thread_for(dir,8,{
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|
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double tbytes;
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int mu =dir % 4;
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|
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if (mpi_layout[mu]>1 ) {
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|
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dbytes=0;
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double start=usecond();
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int xmit_to_rank;
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int recv_from_rank;
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|
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if ( dir == mu ) {
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int comm_proc=1;
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Grid.ShiftedRanks(mu,comm_proc,xmit_to_rank,recv_from_rank);
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@ -168,40 +164,38 @@ public:
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int comm_proc = mpi_layout[mu]-1;
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Grid.ShiftedRanks(mu,comm_proc,xmit_to_rank,recv_from_rank);
|
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}
|
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tbytes= Grid.StencilSendToRecvFrom((void *)&xbuf[dir][0], xmit_to_rank,
|
||||
(void *)&rbuf[dir][0], recv_from_rank,
|
||||
bytes,dir);
|
||||
thread_critical {
|
||||
ncomm++;
|
||||
dbytes+=tbytes;
|
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}
|
||||
Grid.SendToRecvFrom((void *)&xbuf[dir][0], xmit_to_rank,
|
||||
(void *)&rbuf[dir][0], recv_from_rank,
|
||||
bytes);
|
||||
dbytes+=bytes;
|
||||
|
||||
double stop=usecond();
|
||||
t_time[i] = stop-start; // microseconds
|
||||
|
||||
}
|
||||
});
|
||||
Grid.Barrier();
|
||||
double stop=usecond();
|
||||
t_time[i] = stop-start; // microseconds
|
||||
timestat.statistics(t_time);
|
||||
|
||||
dbytes=dbytes*ppn;
|
||||
double xbytes = dbytes*0.5;
|
||||
double bidibytes = dbytes;
|
||||
|
||||
std::cout<<GridLogMessage << lat<<"\t"<<Ls<<"\t "
|
||||
<< bytes << " \t "
|
||||
<<xbytes/timestat.mean<<" \t "<< xbytes*timestat.err/(timestat.mean*timestat.mean)<< " \t "
|
||||
<<xbytes/timestat.max <<" "<< xbytes/timestat.min
|
||||
<< "\t\t"<< bidibytes/timestat.mean<< " " << bidibytes*timestat.err/(timestat.mean*timestat.mean) << " "
|
||||
<< bidibytes/timestat.max << " " << bidibytes/timestat.min << std::endl;
|
||||
}
|
||||
}
|
||||
|
||||
timestat.statistics(t_time);
|
||||
|
||||
dbytes=dbytes*ppn;
|
||||
double xbytes = dbytes*0.5;
|
||||
// double rbytes = dbytes*0.5;
|
||||
double bidibytes = dbytes;
|
||||
|
||||
std::cout<<GridLogMessage << lat<<"\t"<<Ls<<"\t "
|
||||
<< bytes << " \t "
|
||||
<<xbytes/timestat.mean<<" \t "<< xbytes*timestat.err/(timestat.mean*timestat.mean)<< " \t "
|
||||
<<xbytes/timestat.max <<" "<< xbytes/timestat.min
|
||||
<< "\t\t"<< bidibytes/timestat.mean<< " " << bidibytes*timestat.err/(timestat.mean*timestat.mean) << " "
|
||||
<< bidibytes/timestat.max << " " << bidibytes/timestat.min << std::endl;
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
for(int d=0;d<8;d++){
|
||||
acceleratorFreeDevice(xbuf[d]);
|
||||
acceleratorFreeDevice(rbuf[d]);
|
||||
}
|
||||
}
|
||||
}
|
||||
return;
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
static void Memory(void)
|
||||
@ -281,7 +275,6 @@ public:
|
||||
|
||||
|
||||
uint64_t lmax=32;
|
||||
#define NLOOP (1000*lmax*lmax*lmax*lmax/lat/lat/lat/lat)
|
||||
|
||||
GridSerialRNG sRNG; sRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
|
||||
for(int lat=8;lat<=lmax;lat+=8){
|
||||
@ -445,7 +438,7 @@ public:
|
||||
// 1344= 3*(2*8+6)*2*8 + 8*3*2*2 + 3*4*2*8
|
||||
// 1344 = Nc* (6+(Nc-1)*8)*2*Nd + Nd*Nc*2*2 + Nd*Nc*Ns*2
|
||||
// double flops=(1344.0*volume)/2;
|
||||
#if 1
|
||||
#if 0
|
||||
double fps = Nc* (6+(Nc-1)*8)*Ns*Nd + Nd*Nc*Ns + Nd*Nc*Ns*2;
|
||||
#else
|
||||
double fps = Nc* (6+(Nc-1)*8)*Ns*Nd + 2*Nd*Nc*Ns + 2*Nd*Nc*Ns*2;
|
||||
@ -716,12 +709,12 @@ int main (int argc, char ** argv)
|
||||
|
||||
if ( do_su4 ) {
|
||||
std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
|
||||
std::cout<<GridLogMessage << " Memory benchmark " <<std::endl;
|
||||
std::cout<<GridLogMessage << " SU(4) benchmark " <<std::endl;
|
||||
std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
|
||||
Benchmark::SU4();
|
||||
}
|
||||
|
||||
if ( do_comms && (NN>1) ) {
|
||||
if ( do_comms ) {
|
||||
std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
|
||||
std::cout<<GridLogMessage << " Communications benchmark " <<std::endl;
|
||||
std::cout<<GridLogMessage << "=================================================================================="<<std::endl;
|
||||
|
@ -815,6 +815,7 @@ AC_CONFIG_FILES(tests/smearing/Makefile)
|
||||
AC_CONFIG_FILES(tests/qdpxx/Makefile)
|
||||
AC_CONFIG_FILES(tests/testu01/Makefile)
|
||||
AC_CONFIG_FILES(benchmarks/Makefile)
|
||||
AC_CONFIG_FILES(examples/Makefile)
|
||||
AC_OUTPUT
|
||||
|
||||
echo ""
|
||||
|
396
examples/Example_Laplacian.cc
Normal file
396
examples/Example_Laplacian.cc
Normal file
@ -0,0 +1,396 @@
|
||||
#include <Grid/Grid.h>
|
||||
using namespace Grid;
|
||||
|
||||
/*
|
||||
/////////////////////////////////////////////////////////////////////////////////////////////
|
||||
// Grid/algorithms/SparseMatrix.h: Interface defining what I expect of a general sparse matrix, such as a Fermion action
|
||||
/////////////////////////////////////////////////////////////////////////////////////////////
|
||||
template<class Field> class SparseMatrixBase {
|
||||
public:
|
||||
virtual GridBase *Grid(void) =0;
|
||||
|
||||
virtual void M (const Field &in, Field &out)=0;
|
||||
virtual void Mdag (const Field &in, Field &out)=0;
|
||||
virtual void MdagM(const Field &in, Field &out) {
|
||||
Field tmp (in.Grid());
|
||||
M(in,tmp);
|
||||
Mdag(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;
|
||||
};
|
||||
*/
|
||||
|
||||
const std::vector<int> directions ({Xdir,Ydir,Zdir,Xdir,Ydir,Zdir});
|
||||
const std::vector<int> displacements({1,1,1,-1,-1,-1});
|
||||
|
||||
template<class Field> class FreeLaplacianCshift : public SparseMatrixBase<Field>
|
||||
{
|
||||
public:
|
||||
GridBase *grid;
|
||||
FreeLaplacianCshift(GridBase *_grid)
|
||||
{
|
||||
grid=_grid;
|
||||
};
|
||||
virtual GridBase *Grid(void) { return grid; };
|
||||
|
||||
virtual void M (const Field &in, Field &out)
|
||||
{
|
||||
out = Zero();
|
||||
for(int mu=0;mu<Nd-1;mu++) {
|
||||
out = out + Cshift(in,mu,1) + Cshift(in,mu,-1) - 2.0 * in;
|
||||
}
|
||||
};
|
||||
virtual void Mdag (const Field &in, Field &out) { M(in,out);}; // Laplacian is hermitian
|
||||
virtual void Mdiag (const Field &in, Field &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void MdirAll (const Field &in, std::vector<Field> &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
};
|
||||
|
||||
template<class Gimpl,class Field> class CovariantLaplacianCshift : public SparseMatrixBase<Field>
|
||||
{
|
||||
public:
|
||||
INHERIT_GIMPL_TYPES(Gimpl);
|
||||
|
||||
GridBase *grid;
|
||||
GaugeField U;
|
||||
|
||||
CovariantLaplacianCshift(GaugeField &_U) :
|
||||
grid(_U.Grid()),
|
||||
U(_U) { };
|
||||
|
||||
virtual GridBase *Grid(void) { return grid; };
|
||||
|
||||
virtual void M (const Field &in, Field &out)
|
||||
{
|
||||
out=Zero();
|
||||
for(int mu=0;mu<Nd-1;mu++) {
|
||||
GaugeLinkField Umu = PeekIndex<LorentzIndex>(U, mu); // NB: Inefficent
|
||||
out = out + Gimpl::CovShiftForward(Umu,mu,in);
|
||||
out = out + Gimpl::CovShiftBackward(Umu,mu,in);
|
||||
out = out - 2.0*in;
|
||||
}
|
||||
};
|
||||
virtual void Mdag (const Field &in, Field &out) { M(in,out);}; // Laplacian is hermitian
|
||||
virtual void Mdiag (const Field &in, Field &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void MdirAll (const Field &in, std::vector<Field> &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
};
|
||||
|
||||
|
||||
#define LEG_LOAD(Dir) \
|
||||
SE = st.GetEntry(ptype, Dir, ss); \
|
||||
if (SE->_is_local ) { \
|
||||
int perm= SE->_permute; \
|
||||
chi = coalescedReadPermute(in[SE->_offset],ptype,perm,lane); \
|
||||
} else { \
|
||||
chi = coalescedRead(buf[SE->_offset],lane); \
|
||||
} \
|
||||
acceleratorSynchronise();
|
||||
|
||||
template<class Field> class FreeLaplacianStencil : public SparseMatrixBase<Field>
|
||||
{
|
||||
public:
|
||||
typedef typename Field::vector_object siteObject;
|
||||
typedef CartesianStencil<siteObject, siteObject, int> StencilImpl;
|
||||
|
||||
GridBase *grid;
|
||||
StencilImpl Stencil;
|
||||
SimpleCompressor<siteObject> Compressor;
|
||||
|
||||
FreeLaplacianStencil(GridBase *_grid)
|
||||
: Stencil (_grid,6,Even,directions,displacements,0), grid(_grid)
|
||||
{ };
|
||||
|
||||
virtual GridBase *Grid(void) { return grid; };
|
||||
|
||||
virtual void M (const Field &_in, Field &_out)
|
||||
{
|
||||
|
||||
///////////////////////////////////////////////
|
||||
// Halo exchange for this geometry of stencil
|
||||
///////////////////////////////////////////////
|
||||
Stencil.HaloExchange(_in, Compressor);
|
||||
|
||||
///////////////////////////////////
|
||||
// Arithmetic expressions
|
||||
///////////////////////////////////
|
||||
|
||||
// Views; device friendly/accessible pointers
|
||||
auto st = Stencil.View(AcceleratorRead);
|
||||
auto buf = st.CommBuf();
|
||||
autoView( in , _in , AcceleratorRead);
|
||||
autoView( out , _out , AcceleratorWrite);
|
||||
|
||||
typedef typename Field::vector_object vobj;
|
||||
typedef decltype(coalescedRead(in[0])) calcObj;
|
||||
|
||||
const int Nsimd = vobj::Nsimd();
|
||||
const uint64_t NN = grid->oSites();
|
||||
|
||||
accelerator_for( ss, NN, Nsimd, {
|
||||
|
||||
StencilEntry *SE;
|
||||
|
||||
const int lane=acceleratorSIMTlane(Nsimd);
|
||||
|
||||
calcObj chi;
|
||||
calcObj res;
|
||||
int ptype;
|
||||
|
||||
res = coalescedRead(in[ss])*(-6.0);
|
||||
LEG_LOAD(0); res = res + chi;
|
||||
LEG_LOAD(1); res = res + chi;
|
||||
LEG_LOAD(2); res = res + chi;
|
||||
LEG_LOAD(3); res = res + chi;
|
||||
LEG_LOAD(4); res = res + chi;
|
||||
LEG_LOAD(5); res = res + chi;
|
||||
|
||||
coalescedWrite(out[ss], res,lane);
|
||||
|
||||
});
|
||||
};
|
||||
virtual void Mdag (const Field &in, Field &out) { M(in,out);}; // Laplacian is hermitian
|
||||
virtual void Mdiag (const Field &in, Field &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void MdirAll (const Field &in, std::vector<Field> &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
};
|
||||
|
||||
template<class Gimpl,class Field> class CovariantLaplacianStencil : public SparseMatrixBase<Field>
|
||||
{
|
||||
public:
|
||||
INHERIT_GIMPL_TYPES(Gimpl);
|
||||
|
||||
typedef typename Field::vector_object siteObject;
|
||||
|
||||
template <typename vtype> using iImplDoubledGaugeField = iVector<iScalar<iMatrix<vtype, Nc> >, Nds>;
|
||||
typedef iImplDoubledGaugeField<Simd> SiteDoubledGaugeField;
|
||||
typedef Lattice<SiteDoubledGaugeField> DoubledGaugeField;
|
||||
|
||||
typedef CartesianStencil<siteObject, siteObject, int> StencilImpl;
|
||||
|
||||
GridBase *grid;
|
||||
StencilImpl Stencil;
|
||||
SimpleCompressor<siteObject> Compressor;
|
||||
DoubledGaugeField Uds;
|
||||
CovariantLaplacianStencil(GaugeField &Umu)
|
||||
:
|
||||
grid(Umu.Grid()),
|
||||
Stencil (grid,6,Even,directions,displacements,0),
|
||||
Uds(grid)
|
||||
{
|
||||
for (int mu = 0; mu < Nd; mu++) {
|
||||
auto U = PeekIndex<LorentzIndex>(Umu, mu);
|
||||
PokeIndex<LorentzIndex>(Uds, U, mu );
|
||||
U = adj(Cshift(U, mu, -1));
|
||||
PokeIndex<LorentzIndex>(Uds, U, mu + 4);
|
||||
}
|
||||
};
|
||||
|
||||
virtual GridBase *Grid(void) { return grid; };
|
||||
|
||||
virtual void M (const Field &_in, Field &_out)
|
||||
{
|
||||
///////////////////////////////////////////////
|
||||
// Halo exchange for this geometry of stencil
|
||||
///////////////////////////////////////////////
|
||||
Stencil.HaloExchange(_in, Compressor);
|
||||
|
||||
///////////////////////////////////
|
||||
// Arithmetic expressions
|
||||
///////////////////////////////////
|
||||
auto st = Stencil.View(AcceleratorRead);
|
||||
auto buf = st.CommBuf();
|
||||
|
||||
autoView( in , _in , AcceleratorRead);
|
||||
autoView( out , _out , AcceleratorWrite);
|
||||
autoView( U , Uds , AcceleratorRead);
|
||||
|
||||
typedef typename Field::vector_object vobj;
|
||||
typedef decltype(coalescedRead(in[0])) calcObj;
|
||||
typedef decltype(coalescedRead(U[0](0))) calcLink;
|
||||
|
||||
const int Nsimd = vobj::Nsimd();
|
||||
const uint64_t NN = grid->oSites();
|
||||
|
||||
accelerator_for( ss, NN, Nsimd, {
|
||||
|
||||
StencilEntry *SE;
|
||||
|
||||
const int lane=acceleratorSIMTlane(Nsimd);
|
||||
|
||||
calcObj chi;
|
||||
calcObj res;
|
||||
calcObj Uchi;
|
||||
calcLink UU;
|
||||
int ptype;
|
||||
|
||||
res = coalescedRead(in[ss])*(-6.0);
|
||||
|
||||
#define LEG_LOAD_MULT(leg,polarisation) \
|
||||
UU = coalescedRead(U[ss](polarisation)); \
|
||||
LEG_LOAD(leg); \
|
||||
mult(&Uchi(), &UU, &chi()); \
|
||||
res = res + Uchi;
|
||||
|
||||
LEG_LOAD_MULT(0,Xp);
|
||||
LEG_LOAD_MULT(1,Yp);
|
||||
LEG_LOAD_MULT(2,Zp);
|
||||
LEG_LOAD_MULT(3,Xm);
|
||||
LEG_LOAD_MULT(4,Ym);
|
||||
LEG_LOAD_MULT(5,Zm);
|
||||
|
||||
coalescedWrite(out[ss], res,lane);
|
||||
});
|
||||
};
|
||||
virtual void Mdag (const Field &in, Field &out) { M(in,out);}; // Laplacian is hermitian
|
||||
virtual void Mdiag (const Field &in, Field &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void MdirAll (const Field &in, std::vector<Field> &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
};
|
||||
|
||||
#undef LEG_LOAD_MULT
|
||||
#undef LEG_LOAD
|
||||
|
||||
int main(int argc, char ** argv)
|
||||
{
|
||||
Grid_init(&argc, &argv);
|
||||
|
||||
typedef LatticeColourVector Field;
|
||||
|
||||
auto latt_size = GridDefaultLatt();
|
||||
auto simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
|
||||
auto mpi_layout = GridDefaultMpi();
|
||||
|
||||
GridCartesian Grid(latt_size,simd_layout,mpi_layout);
|
||||
GridParallelRNG RNG(&Grid); RNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
|
||||
|
||||
FreeLaplacianCshift<Field> FLcs(&Grid);
|
||||
FreeLaplacianStencil<Field> FLst(&Grid);
|
||||
|
||||
LatticeGaugeField U(&Grid);
|
||||
|
||||
SU<Nc>::ColdConfiguration(RNG,U);
|
||||
|
||||
std::cout << " Gauge field has norm " <<norm2(U)<<std::endl;
|
||||
|
||||
CovariantLaplacianCshift <PeriodicGimplR,Field> CLcs(U);
|
||||
CovariantLaplacianStencil<PeriodicGimplR,Field> CLst(U);
|
||||
|
||||
Field in(&Grid); gaussian(RNG,in);
|
||||
Field out_FLcs(&Grid);
|
||||
Field out_FLst(&Grid);
|
||||
Field out_CLcs(&Grid);
|
||||
Field out_CLst(&Grid);
|
||||
Field diff(&Grid);
|
||||
|
||||
////////////////////////////////////////////////////////
|
||||
// First test: in free field these should all agree
|
||||
////////////////////////////////////////////////////////
|
||||
FLcs.M(in,out_FLcs);
|
||||
FLst.M(in,out_FLst);
|
||||
CLcs.M(in,out_CLcs);
|
||||
CLst.M(in,out_CLst);
|
||||
|
||||
std:: cout << "******************************************************************" <<std::endl;
|
||||
std:: cout << " Test A: consistency of four different Laplacian implementations " <<std::endl;
|
||||
std:: cout << "******************************************************************" <<std::endl;
|
||||
std:: cout << " Input test vector " <<norm2(in)<<std::endl;
|
||||
std:: cout << "--------------------------------------------------------" <<std::endl;
|
||||
std:: cout << " Free cshift output vector " <<norm2(out_FLcs)<<std::endl;
|
||||
std:: cout << " Free stencil output vector " <<norm2(out_FLst)<<std::endl;
|
||||
std:: cout << " Cov cshift output vector " <<norm2(out_CLcs)<<std::endl;
|
||||
std:: cout << " Cov stencil output vector " <<norm2(out_CLst)<<std::endl;
|
||||
std:: cout << "--------------------------------------------------------" <<std::endl;
|
||||
|
||||
diff = out_FLcs - out_FLst;
|
||||
std:: cout << " Difference between free Cshift Laplacian and free Stencil Laplacian = " <<norm2(diff)<<std::endl;
|
||||
|
||||
diff = out_FLcs - out_CLcs;
|
||||
std:: cout << " Difference between free Cshift Laplacian and covariant Cshift Laplacian = " <<norm2(diff)<<std::endl;
|
||||
|
||||
diff = out_FLcs - out_CLst;
|
||||
std:: cout << " Difference between free Cshift Laplacian and covariant Stencil Laplacian = " <<norm2(diff)<<std::endl;
|
||||
std:: cout << "--------------------------------------------------------" <<std::endl;
|
||||
|
||||
|
||||
std:: cout << "******************************************************************" <<std::endl;
|
||||
std:: cout << " Test B: gauge covariance " <<std::endl;
|
||||
std:: cout << "******************************************************************" <<std::endl;
|
||||
|
||||
LatticeGaugeField U_GT(&Grid); // Gauge transformed field
|
||||
LatticeColourMatrix g(&Grid); // local Gauge xform matrix
|
||||
|
||||
U_GT = U;
|
||||
// Make a random xform to teh gauge field
|
||||
SU<Nc>::RandomGaugeTransform(RNG,U_GT,g); // Unit gauge
|
||||
|
||||
Field in_GT(&Grid);
|
||||
Field out_GT(&Grid);
|
||||
|
||||
Field out_CLcs_GT(&Grid);
|
||||
Field out_CLst_GT(&Grid);
|
||||
|
||||
CovariantLaplacianCshift <PeriodicGimplR,Field> CLcs_GT(U_GT);
|
||||
CovariantLaplacianStencil<PeriodicGimplR,Field> CLst_GT(U_GT);
|
||||
|
||||
in_GT = g*in;
|
||||
out_GT = g*out_FLcs;
|
||||
|
||||
// Check M^GT_xy in_GT = g(x) M_xy g^dag(y) g(y) in = g(x) out(x)
|
||||
CLcs_GT.M(in_GT,out_CLcs_GT);
|
||||
CLst_GT.M(in_GT,out_CLst_GT);
|
||||
|
||||
diff = out_CLcs_GT - out_GT;
|
||||
std:: cout << " Difference between Gauge xformed result and covariant Cshift Laplacian in xformed gauge = " <<norm2(diff)<<std::endl;
|
||||
|
||||
diff = out_CLst_GT - out_GT;
|
||||
std:: cout << " Difference between Gauge xformed result and covariant Stencil Laplacian in xformed gauge = " <<norm2(diff)<<std::endl;
|
||||
std:: cout << "--------------------------------------------------------" <<std::endl;
|
||||
|
||||
|
||||
std:: cout << "******************************************************************" <<std::endl;
|
||||
std:: cout << " Test C: compare in free Field to \"Feynman rule\" " <<std::endl;
|
||||
std:: cout << "******************************************************************" <<std::endl;
|
||||
|
||||
std::vector<int> dim_mask({1,1,1,0}); // 3d FFT
|
||||
FFT theFFT(&Grid);
|
||||
Field out(&Grid);
|
||||
Field F_out(&Grid);
|
||||
Field F_in(&Grid);
|
||||
|
||||
// FFT the random input vector
|
||||
theFFT.FFT_dim_mask(F_in,in,dim_mask,FFT::forward);
|
||||
|
||||
// Convolution theorem: multiply by Fourier representation of (discrete) Laplacian to apply diff op
|
||||
LatticeComplexD lap(&Grid); lap = Zero();
|
||||
LatticeComplexD kmu(&Grid);
|
||||
ComplexD ci(0.0,1.0);
|
||||
for(int mu=0;mu<3;mu++) {
|
||||
|
||||
RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
|
||||
|
||||
LatticeCoordinate(kmu,mu);
|
||||
kmu = TwoPiL * kmu;
|
||||
|
||||
// (e^ik_mu + e^-ik_mu - 2) = 2( cos kmu - 1) ~ 2 (1 - k_mu^2/2 -1 ) = - k_mu^2 + O(k^4)
|
||||
lap = lap + 2.0*cos(kmu) - 2.0;
|
||||
|
||||
}
|
||||
F_out = lap * F_in;
|
||||
|
||||
// Inverse FFT the result
|
||||
theFFT.FFT_dim_mask(out,F_out,dim_mask,FFT::backward);
|
||||
|
||||
std::cout<<"Fourier xformed (in) "<<norm2(F_in)<<std::endl;
|
||||
std::cout<<"Fourier xformed Laplacian x (in) "<<norm2(F_out)<<std::endl;
|
||||
|
||||
std::cout<<"Momentum space Laplacian application "<< norm2(out)<<std::endl;
|
||||
std::cout<<"Stencil Laplacian application "<< norm2(out_CLcs)<<std::endl;
|
||||
|
||||
diff = out_CLcs - out;
|
||||
std::cout<<"diff "<< norm2(diff)<<std::endl;
|
||||
|
||||
Grid_finalize();
|
||||
}
|
127
examples/Example_Laplacian_smearing.cc
Normal file
127
examples/Example_Laplacian_smearing.cc
Normal file
@ -0,0 +1,127 @@
|
||||
#include <Grid/Grid.h>
|
||||
using namespace Grid;
|
||||
|
||||
// Function used for Chebyshev smearing
|
||||
//
|
||||
Real MomentumSmearing(Real p2)
|
||||
{
|
||||
return (1 - 4.0*p2) * exp(-p2/4);
|
||||
}
|
||||
Real DistillationSmearing(Real p2)
|
||||
{
|
||||
if ( p2 > 0.5 ) return 0.0;
|
||||
else return 1.0;
|
||||
}
|
||||
|
||||
// Flip sign to make prop to p^2, not -p^2 relative to last example
|
||||
template<class Gimpl,class Field> class CovariantLaplacianCshift : public SparseMatrixBase<Field>
|
||||
{
|
||||
public:
|
||||
INHERIT_GIMPL_TYPES(Gimpl);
|
||||
|
||||
GridBase *grid;
|
||||
GaugeField U;
|
||||
|
||||
CovariantLaplacianCshift(GaugeField &_U) :
|
||||
grid(_U.Grid()),
|
||||
U(_U) { };
|
||||
|
||||
virtual GridBase *Grid(void) { return grid; };
|
||||
|
||||
virtual void M (const Field &in, Field &out)
|
||||
{
|
||||
out=Zero();
|
||||
for(int mu=0;mu<Nd-1;mu++) {
|
||||
GaugeLinkField Umu = PeekIndex<LorentzIndex>(U, mu); // NB: Inefficent
|
||||
out = out - Gimpl::CovShiftForward(Umu,mu,in);
|
||||
out = out - Gimpl::CovShiftBackward(Umu,mu,in);
|
||||
out = out + 2.0*in;
|
||||
}
|
||||
};
|
||||
virtual void Mdag (const Field &in, Field &out) { M(in,out);}; // Laplacian is hermitian
|
||||
virtual void Mdiag (const Field &in, Field &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void MdirAll (const Field &in, std::vector<Field> &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
};
|
||||
|
||||
|
||||
|
||||
int main(int argc, char ** argv)
|
||||
{
|
||||
Grid_init(&argc, &argv);
|
||||
|
||||
typedef LatticeColourVector Field;
|
||||
|
||||
auto latt_size = GridDefaultLatt();
|
||||
auto simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
|
||||
auto mpi_layout = GridDefaultMpi();
|
||||
|
||||
GridCartesian Grid(latt_size,simd_layout,mpi_layout);
|
||||
GridParallelRNG RNG(&Grid); RNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
|
||||
|
||||
|
||||
LatticeGaugeField U(&Grid);
|
||||
|
||||
SU<Nc>::ColdConfiguration(RNG,U);
|
||||
|
||||
typedef CovariantLaplacianCshift <PeriodicGimplR,Field> Laplacian_t;
|
||||
Laplacian_t Laplacian(U);
|
||||
|
||||
|
||||
ColourVector ColourKronecker;
|
||||
ColourKronecker = Zero();
|
||||
ColourKronecker()()(0) = 1.0;
|
||||
|
||||
Coordinate site({latt_size[0]/2,
|
||||
latt_size[1]/2,
|
||||
latt_size[2]/2,
|
||||
0});
|
||||
|
||||
Field kronecker(&Grid);
|
||||
kronecker = Zero();
|
||||
pokeSite(ColourKronecker,kronecker,site);
|
||||
|
||||
|
||||
Field psi(&Grid), chi(&Grid);
|
||||
|
||||
//////////////////////////////////////
|
||||
// Classic Wuppertal smearing
|
||||
//////////////////////////////////////
|
||||
|
||||
Integer Iterations = 80;
|
||||
Real width = 2.0;
|
||||
Real coeff = (width*width) / Real(4*Iterations);
|
||||
|
||||
chi=kronecker;
|
||||
// chi = (1-p^2/2N)^N kronecker
|
||||
for(int n = 0; n < Iterations; ++n) {
|
||||
Laplacian.M(chi,psi);
|
||||
chi = chi - coeff*psi;
|
||||
}
|
||||
|
||||
std::cout << " Wuppertal smeared operator is chi = \n" << chi <<std::endl;
|
||||
|
||||
/////////////////////////////////////
|
||||
// Chebyshev smearing
|
||||
/////////////////////////////////////
|
||||
RealD lo = 0.0;
|
||||
RealD hi = 12.0; // Analytic free field bound
|
||||
HermitianLinearOperator<Laplacian_t,Field> HermOp(Laplacian);
|
||||
|
||||
std::cout << " Checking spectral range of our POSITIVE definite operator \n";
|
||||
PowerMethod<Field> PM;
|
||||
PM(HermOp,kronecker);
|
||||
|
||||
// Chebyshev<Field> ChebySmear(lo,hi,20,DistillationSmearing);
|
||||
Chebyshev<Field> ChebySmear(lo,hi,20,MomentumSmearing);
|
||||
{
|
||||
std::ofstream of("chebysmear");
|
||||
ChebySmear.csv(of);
|
||||
}
|
||||
|
||||
ChebySmear(HermOp,kronecker,chi);
|
||||
|
||||
std::cout << " Chebyshev smeared operator is chi = \n" << chi <<std::endl;
|
||||
|
||||
Grid_finalize();
|
||||
}
|
129
examples/Example_Laplacian_solver.cc
Normal file
129
examples/Example_Laplacian_solver.cc
Normal file
@ -0,0 +1,129 @@
|
||||
#include <Grid/Grid.h>
|
||||
using namespace Grid;
|
||||
|
||||
template<class Field>
|
||||
void SimpleConjugateGradient(LinearOperatorBase<Field> &HPDop,const Field &b, Field &x)
|
||||
{
|
||||
RealD cp, c, alpha, d, beta, ssq, qq;
|
||||
RealD Tolerance=1.0e-10;
|
||||
int MaxIterations=10000;
|
||||
|
||||
Field p(b), mmp(b), r(b);
|
||||
|
||||
HPDop.HermOpAndNorm(x, mmp, d, beta);
|
||||
|
||||
r = b - mmp;
|
||||
p = r;
|
||||
|
||||
cp = alpha = norm2(p);
|
||||
ssq = norm2(b);
|
||||
|
||||
RealD rsq = Tolerance * Tolerance * ssq;
|
||||
|
||||
for (int k = 1; k <= MaxIterations; k++) {
|
||||
c = cp;
|
||||
|
||||
HPDop.HermOp(p, mmp);
|
||||
|
||||
d = real(innerProduct(p,mmp));
|
||||
|
||||
alpha = c / d;
|
||||
|
||||
r = r - alpha *mmp;
|
||||
cp = norm2(r);
|
||||
beta = cp / c;
|
||||
|
||||
x = x + alpha* p ;
|
||||
p = r + beta* p ;
|
||||
|
||||
std::cout << "iteration "<<k<<" cp " <<std::sqrt(cp/ssq) << std::endl;
|
||||
if (cp <= rsq) {
|
||||
return;
|
||||
}
|
||||
}
|
||||
assert(0);
|
||||
}
|
||||
|
||||
|
||||
|
||||
// Flip sign to make prop to p^2, not -p^2 relative to last example
|
||||
template<class Gimpl,class Field> class CovariantLaplacianCshift : public SparseMatrixBase<Field>
|
||||
{
|
||||
public:
|
||||
INHERIT_GIMPL_TYPES(Gimpl);
|
||||
|
||||
GridBase *grid;
|
||||
GaugeField U;
|
||||
RealD m2=1.0e-2;
|
||||
CovariantLaplacianCshift(GaugeField &_U) :
|
||||
grid(_U.Grid()),
|
||||
U(_U) { };
|
||||
|
||||
virtual GridBase *Grid(void) { return grid; };
|
||||
|
||||
virtual void M (const Field &in, Field &out)
|
||||
{
|
||||
out=Zero();
|
||||
for(int mu=0;mu<Nd-1;mu++) {
|
||||
GaugeLinkField Umu = PeekIndex<LorentzIndex>(U, mu); // NB: Inefficent
|
||||
out = out - Gimpl::CovShiftForward(Umu,mu,in);
|
||||
out = out - Gimpl::CovShiftBackward(Umu,mu,in);
|
||||
out = out + 2.0*in + m2*in;
|
||||
}
|
||||
};
|
||||
virtual void Mdag (const Field &in, Field &out) { M(in,out);}; // Laplacian is hermitian
|
||||
virtual void Mdiag (const Field &in, Field &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void MdirAll (const Field &in, std::vector<Field> &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
};
|
||||
|
||||
|
||||
|
||||
int main(int argc, char ** argv)
|
||||
{
|
||||
Grid_init(&argc, &argv);
|
||||
|
||||
typedef LatticeColourVector Field;
|
||||
|
||||
auto latt_size = GridDefaultLatt();
|
||||
auto simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
|
||||
auto mpi_layout = GridDefaultMpi();
|
||||
|
||||
GridCartesian Grid(latt_size,simd_layout,mpi_layout);
|
||||
GridParallelRNG RNG(&Grid); RNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
|
||||
|
||||
|
||||
LatticeGaugeField U(&Grid);
|
||||
|
||||
SU<Nc>::ColdConfiguration(RNG,U);
|
||||
|
||||
typedef CovariantLaplacianCshift <PeriodicGimplR,Field> Laplacian_t;
|
||||
Laplacian_t Laplacian(U);
|
||||
|
||||
|
||||
ColourVector ColourKronecker;
|
||||
ColourKronecker = Zero();
|
||||
ColourKronecker()()(0) = 1.0;
|
||||
|
||||
Coordinate site({0,0,0,0}); // Point source at origin
|
||||
|
||||
Field kronecker(&Grid);
|
||||
kronecker = Zero();
|
||||
pokeSite(ColourKronecker,kronecker,site);
|
||||
|
||||
Field psi(&Grid); psi=Zero();
|
||||
|
||||
HermitianLinearOperator<Laplacian_t,Field> HermOp(Laplacian);
|
||||
SimpleConjugateGradient(HermOp, kronecker,psi);
|
||||
|
||||
Field r(&Grid);
|
||||
Laplacian.M(psi,r);
|
||||
r=kronecker-r;
|
||||
|
||||
std::cout << "True residual "<< norm2(r) <<std::endl;
|
||||
|
||||
// Optionally print the result vector
|
||||
// std::cout << psi<<std::endl;
|
||||
|
||||
Grid_finalize();
|
||||
}
|
314
examples/Example_Mobius_spectrum.cc
Normal file
314
examples/Example_Mobius_spectrum.cc
Normal file
@ -0,0 +1,314 @@
|
||||
/*
|
||||
* Warning: This code illustrative only: not well tested, and not meant for production use
|
||||
* without regression / tests being applied
|
||||
*/
|
||||
|
||||
#include <Grid/Grid.h>
|
||||
|
||||
using namespace std;
|
||||
using namespace Grid;
|
||||
|
||||
template<class Gimpl,class Field> class CovariantLaplacianCshift : public SparseMatrixBase<Field>
|
||||
{
|
||||
public:
|
||||
INHERIT_GIMPL_TYPES(Gimpl);
|
||||
|
||||
GridBase *grid;
|
||||
GaugeField U;
|
||||
|
||||
CovariantLaplacianCshift(GaugeField &_U) :
|
||||
grid(_U.Grid()),
|
||||
U(_U) { };
|
||||
|
||||
virtual GridBase *Grid(void) { return grid; };
|
||||
|
||||
virtual void M (const Field &in, Field &out)
|
||||
{
|
||||
out=Zero();
|
||||
for(int mu=0;mu<Nd-1;mu++) {
|
||||
GaugeLinkField Umu = PeekIndex<LorentzIndex>(U, mu); // NB: Inefficent
|
||||
out = out - Gimpl::CovShiftForward(Umu,mu,in);
|
||||
out = out - Gimpl::CovShiftBackward(Umu,mu,in);
|
||||
out = out + 2.0*in;
|
||||
}
|
||||
};
|
||||
virtual void Mdag (const Field &in, Field &out) { M(in,out);}; // Laplacian is hermitian
|
||||
virtual void Mdiag (const Field &in, Field &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);}; // Unimplemented need only for multigrid
|
||||
virtual void MdirAll (const Field &in, std::vector<Field> &out) {assert(0);}; // Unimplemented need only for multigrid
|
||||
};
|
||||
|
||||
void MakePhase(Coordinate mom,LatticeComplex &phase)
|
||||
{
|
||||
GridBase *grid = phase.Grid();
|
||||
auto latt_size = grid->GlobalDimensions();
|
||||
ComplexD ci(0.0,1.0);
|
||||
phase=Zero();
|
||||
|
||||
LatticeComplex coor(phase.Grid());
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
|
||||
LatticeCoordinate(coor,mu);
|
||||
phase = phase + (TwoPiL * mom[mu]) * coor;
|
||||
}
|
||||
phase = exp(phase*ci);
|
||||
}
|
||||
void PointSource(Coordinate &coor,LatticePropagator &source)
|
||||
{
|
||||
// Coordinate coor({0,0,0,0});
|
||||
source=Zero();
|
||||
SpinColourMatrix kronecker; kronecker=1.0;
|
||||
pokeSite(kronecker,source,coor);
|
||||
}
|
||||
void Z2WallSource(GridParallelRNG &RNG,int tslice,LatticePropagator &source)
|
||||
{
|
||||
GridBase *grid = source.Grid();
|
||||
LatticeComplex noise(grid);
|
||||
LatticeComplex zz(grid); zz=Zero();
|
||||
LatticeInteger t(grid);
|
||||
|
||||
RealD nrm=1.0/sqrt(2);
|
||||
bernoulli(RNG, noise); // 0,1 50:50
|
||||
|
||||
noise = (2.*noise - Complex(1,1))*nrm;
|
||||
|
||||
LatticeCoordinate(t,Tdir);
|
||||
noise = where(t==Integer(tslice), noise, zz);
|
||||
|
||||
source = 1.0;
|
||||
source = source*noise;
|
||||
std::cout << " Z2 wall " << norm2(source) << std::endl;
|
||||
}
|
||||
template<class Field>
|
||||
void GaussianSmear(LatticeGaugeField &U,Field &unsmeared,Field &smeared)
|
||||
{
|
||||
typedef CovariantLaplacianCshift <PeriodicGimplR,Field> Laplacian_t;
|
||||
Laplacian_t Laplacian(U);
|
||||
|
||||
Integer Iterations = 40;
|
||||
Real width = 2.0;
|
||||
Real coeff = (width*width) / Real(4*Iterations);
|
||||
|
||||
Field tmp(U.Grid());
|
||||
smeared=unsmeared;
|
||||
// chi = (1-p^2/2N)^N kronecker
|
||||
for(int n = 0; n < Iterations; ++n) {
|
||||
Laplacian.M(smeared,tmp);
|
||||
smeared = smeared - coeff*tmp;
|
||||
std::cout << " smear iter " << n<<" " <<norm2(smeared)<<std::endl;
|
||||
}
|
||||
}
|
||||
void GaussianSource(Coordinate &site,LatticeGaugeField &U,LatticePropagator &source)
|
||||
{
|
||||
LatticePropagator tmp(source.Grid());
|
||||
PointSource(site,source);
|
||||
std::cout << " GaussianSource Kronecker "<< norm2(source)<<std::endl;
|
||||
tmp = source;
|
||||
GaussianSmear(U,tmp,source);
|
||||
std::cout << " GaussianSource Smeared "<< norm2(source)<<std::endl;
|
||||
}
|
||||
void GaussianWallSource(GridParallelRNG &RNG,int tslice,LatticeGaugeField &U,LatticePropagator &source)
|
||||
{
|
||||
Z2WallSource(RNG,tslice,source);
|
||||
auto tmp = source;
|
||||
GaussianSmear(U,tmp,source);
|
||||
}
|
||||
void SequentialSource(int tslice,Coordinate &mom,LatticePropagator &spectator,LatticePropagator &source)
|
||||
{
|
||||
assert(mom.size()==Nd);
|
||||
assert(mom[Tdir] == 0);
|
||||
|
||||
GridBase * grid = spectator.Grid();
|
||||
|
||||
|
||||
LatticeInteger ts(grid);
|
||||
LatticeCoordinate(ts,Tdir);
|
||||
source = Zero();
|
||||
source = where(ts==Integer(tslice),spectator,source); // Stick in a slice of the spectator, zero everywhere else
|
||||
|
||||
LatticeComplex phase(grid);
|
||||
MakePhase(mom,phase);
|
||||
|
||||
source = source *phase;
|
||||
}
|
||||
template<class Action>
|
||||
void Solve(Action &D,LatticePropagator &source,LatticePropagator &propagator)
|
||||
{
|
||||
GridBase *UGrid = D.GaugeGrid();
|
||||
GridBase *FGrid = D.FermionGrid();
|
||||
|
||||
LatticeFermion src4 (UGrid);
|
||||
LatticeFermion src5 (FGrid);
|
||||
LatticeFermion result5(FGrid);
|
||||
LatticeFermion result4(UGrid);
|
||||
|
||||
ConjugateGradient<LatticeFermion> CG(1.0e-8,100000);
|
||||
SchurRedBlackDiagMooeeSolve<LatticeFermion> schur(CG);
|
||||
ZeroGuesser<LatticeFermion> ZG; // Could be a DeflatedGuesser if have eigenvectors
|
||||
for(int s=0;s<Nd;s++){
|
||||
for(int c=0;c<Nc;c++){
|
||||
PropToFerm<Action>(src4,source,s,c);
|
||||
|
||||
D.ImportPhysicalFermionSource(src4,src5);
|
||||
|
||||
result5=Zero();
|
||||
schur(D,src5,result5,ZG);
|
||||
std::cout<<GridLogMessage
|
||||
<<"spin "<<s<<" color "<<c
|
||||
<<" norm2(src5d) " <<norm2(src5)
|
||||
<<" norm2(result5d) "<<norm2(result5)<<std::endl;
|
||||
|
||||
D.ExportPhysicalFermionSolution(result5,result4);
|
||||
|
||||
FermToProp<Action>(propagator,result4,s,c);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
class MesonFile: Serializable {
|
||||
public:
|
||||
GRID_SERIALIZABLE_CLASS_MEMBERS(MesonFile, std::vector<std::vector<Complex> >, data);
|
||||
};
|
||||
|
||||
void MesonTrace(std::string file,LatticePropagator &q1,LatticePropagator &q2,LatticeComplex &phase)
|
||||
{
|
||||
const int nchannel=4;
|
||||
Gamma::Algebra Gammas[nchannel][2] = {
|
||||
{Gamma::Algebra::Gamma5 ,Gamma::Algebra::Gamma5},
|
||||
{Gamma::Algebra::GammaTGamma5,Gamma::Algebra::GammaTGamma5},
|
||||
{Gamma::Algebra::GammaTGamma5,Gamma::Algebra::Gamma5},
|
||||
{Gamma::Algebra::Gamma5 ,Gamma::Algebra::GammaTGamma5}
|
||||
};
|
||||
|
||||
Gamma G5(Gamma::Algebra::Gamma5);
|
||||
|
||||
LatticeComplex meson_CF(q1.Grid());
|
||||
MesonFile MF;
|
||||
|
||||
for(int ch=0;ch<nchannel;ch++){
|
||||
|
||||
Gamma Gsrc(Gammas[ch][0]);
|
||||
Gamma Gsnk(Gammas[ch][1]);
|
||||
|
||||
meson_CF = trace(G5*adj(q1)*G5*Gsnk*q2*adj(Gsrc));
|
||||
|
||||
std::vector<TComplex> meson_T;
|
||||
sliceSum(meson_CF,meson_T, Tdir);
|
||||
|
||||
int nt=meson_T.size();
|
||||
|
||||
std::vector<Complex> corr(nt);
|
||||
for(int t=0;t<nt;t++){
|
||||
corr[t] = TensorRemove(meson_T[t]); // Yes this is ugly, not figured a work around
|
||||
std::cout << " channel "<<ch<<" t "<<t<<" " <<corr[t]<<std::endl;
|
||||
}
|
||||
MF.data.push_back(corr);
|
||||
}
|
||||
|
||||
{
|
||||
XmlWriter WR(file);
|
||||
write(WR,"MesonFile",MF);
|
||||
}
|
||||
}
|
||||
|
||||
int main (int argc, char ** argv)
|
||||
{
|
||||
const int Ls=8;
|
||||
|
||||
Grid_init(&argc,&argv);
|
||||
|
||||
// Double precision grids
|
||||
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
|
||||
GridDefaultSimd(Nd,vComplex::Nsimd()),
|
||||
GridDefaultMpi());
|
||||
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
|
||||
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
|
||||
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
|
||||
|
||||
//////////////////////////////////////////////////////////////////////
|
||||
// You can manage seeds however you like.
|
||||
// Recommend SeedUniqueString.
|
||||
//////////////////////////////////////////////////////////////////////
|
||||
std::vector<int> seeds4({1,2,3,4});
|
||||
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
|
||||
|
||||
LatticeGaugeField Umu(UGrid);
|
||||
std::string config;
|
||||
if( argc > 1 && argv[1][0] != '-' )
|
||||
{
|
||||
std::cout<<GridLogMessage <<"Loading configuration from "<<argv[1]<<std::endl;
|
||||
FieldMetaData header;
|
||||
NerscIO::readConfiguration(Umu, header, argv[1]);
|
||||
config=argv[1];
|
||||
}
|
||||
else
|
||||
{
|
||||
std::cout<<GridLogMessage <<"Using hot configuration"<<std::endl;
|
||||
SU<Nc>::ColdConfiguration(Umu);
|
||||
// SU<Nc>::HotConfiguration(RNG4,Umu);
|
||||
config="HotConfig";
|
||||
}
|
||||
|
||||
std::vector<RealD> masses({ 0.03,0.04,0.45} ); // u/d, s, c ??
|
||||
|
||||
int nmass = masses.size();
|
||||
|
||||
std::vector<MobiusFermionR *> FermActs;
|
||||
|
||||
std::cout<<GridLogMessage <<"======================"<<std::endl;
|
||||
std::cout<<GridLogMessage <<"MobiusFermion action as Scaled Shamir kernel"<<std::endl;
|
||||
std::cout<<GridLogMessage <<"======================"<<std::endl;
|
||||
|
||||
for(auto mass: masses) {
|
||||
|
||||
RealD M5=1.0;
|
||||
RealD b=1.5;// Scale factor b+c=2, b-c=1
|
||||
RealD c=0.5;
|
||||
|
||||
FermActs.push_back(new MobiusFermionR(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c));
|
||||
|
||||
}
|
||||
|
||||
LatticePropagator point_source(UGrid);
|
||||
LatticePropagator wall_source(UGrid);
|
||||
LatticePropagator gaussian_source(UGrid);
|
||||
|
||||
Coordinate Origin({0,0,0,0});
|
||||
PointSource (Origin,point_source);
|
||||
Z2WallSource (RNG4,0,wall_source);
|
||||
GaussianSource(Origin,Umu,gaussian_source);
|
||||
|
||||
std::vector<LatticePropagator> PointProps(nmass,UGrid);
|
||||
std::vector<LatticePropagator> GaussProps(nmass,UGrid);
|
||||
std::vector<LatticePropagator> Z2Props (nmass,UGrid);
|
||||
|
||||
for(int m=0;m<nmass;m++) {
|
||||
|
||||
Solve(*FermActs[m],point_source ,PointProps[m]);
|
||||
Solve(*FermActs[m],gaussian_source,GaussProps[m]);
|
||||
Solve(*FermActs[m],wall_source ,Z2Props[m]);
|
||||
|
||||
}
|
||||
|
||||
LatticeComplex phase(UGrid);
|
||||
Coordinate mom({0,0,0,0});
|
||||
MakePhase(mom,phase);
|
||||
|
||||
for(int m1=0 ;m1<nmass;m1++) {
|
||||
for(int m2=m1;m2<nmass;m2++) {
|
||||
std::stringstream ssp,ssg,ssz;
|
||||
|
||||
ssp<<config<< "_m" << m1 << "_m"<< m2 << "_point_meson.xml";
|
||||
ssg<<config<< "_m" << m1 << "_m"<< m2 << "_smeared_meson.xml";
|
||||
ssz<<config<< "_m" << m1 << "_m"<< m2 << "_wall_meson.xml";
|
||||
|
||||
MesonTrace(ssp.str(),PointProps[m1],PointProps[m2],phase);
|
||||
MesonTrace(ssg.str(),GaussProps[m1],GaussProps[m2],phase);
|
||||
MesonTrace(ssz.str(),Z2Props[m1],Z2Props[m2],phase);
|
||||
}}
|
||||
|
||||
Grid_finalize();
|
||||
}
|
||||
|
||||
|
||||
|
6
examples/Makefile.am
Normal file
6
examples/Makefile.am
Normal file
@ -0,0 +1,6 @@
|
||||
SUBDIRS = .
|
||||
|
||||
include Make.inc
|
||||
|
||||
|
||||
|
@ -82,3 +82,18 @@ for f in $TESTS; do
|
||||
echo >> Make.inc
|
||||
done
|
||||
cd ..
|
||||
|
||||
# examples Make.inc
|
||||
cd $home/examples/
|
||||
echo> Make.inc
|
||||
TESTS=`ls *.cc`
|
||||
TESTLIST=`echo ${TESTS} | sed s/.cc//g `
|
||||
echo bin_PROGRAMS = ${TESTLIST} > Make.inc
|
||||
echo >> Make.inc
|
||||
for f in $TESTS; do
|
||||
BNAME=`basename $f .cc`
|
||||
echo ${BNAME}_SOURCES=$f >> Make.inc
|
||||
echo ${BNAME}_LDADD='$(top_builddir)/Grid/libGrid.a'>> Make.inc
|
||||
echo >> Make.inc
|
||||
done
|
||||
cd ..
|
||||
|
Loading…
Reference in New Issue
Block a user