1，简单安装Magma
1.1 下载编译 OpenBLAS
$ git clone https://github.com/OpenMathLib/OpenBLAS.git
$ cd OpenBLAS/
$ make -j DEBUG=1
$ make install PREFIX=/home/hipper/ex_magma/local_d/OpenBLAS/
1.2 下载编译 magma
$ git clone https://bitbucket.org/icl/magma.git
$ cd magma/
$ cp make.inc-examples/make.inc.openblas ./make.inc
$ vim make.inc
// # edit openblasdir to abouve
// # -O2 -> -g
$ make -jvim make.inc
2. 改写 testing_xxxqr_gpu.cpp
testing/testing_sgeqrf_gpu.cpp
运行效果：
原始代码：
/*-- MAGMA (version 2.0) --Univ. of Tennessee, KnoxvilleUniv. of California, BerkeleyUniv. of Colorado, Denver@date@generated from testing/testing_zgeqrf_gpu.cpp, normal z -> s, Mon Jul 29 01:23:15 2024
*/
// includes, system
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>// includes, project
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"/* -- Testing sgeqrf
*/
int main( int argc, char** argv)
{TESTING_CHECK( magma_init() );magma_print_environment();const float d_neg_one = MAGMA_D_NEG_ONE;const float d_one = MAGMA_D_ONE;const float c_neg_one = MAGMA_S_NEG_ONE;const float c_one = MAGMA_S_ONE;const float c_zero = MAGMA_S_ZERO;const magma_int_t ione = 1;real_Double_t gflops, gpu_perf, gpu_time, cpu_perf=0, cpu_time=0;float Anorm, error=0, error2=0;float *h_A, *h_R, *tau, *h_work, tmp[1], unused[1];magmaFloat_ptr d_A, dT;magma_int_t M, N, n2, lda, ldda, lwork, info, min_mn, nb, size;magma_int_t ISEED[4] = {0,0,0,1};magma_opts opts;opts.parse_opts( argc, argv );int status = 0;float tol = opts.tolerance * lapackf77_slamch("E");// for expert API testingmagma_device_t cdev;magma_queue_t queues[2];magma_getdevice( &cdev );magma_queue_create( cdev, &queues[0] );magma_queue_create( cdev, &queues[1] );// version 3 can do either checkif (opts.check == 1 && ( opts.version == 1 || opts.version == 4 ) ) {opts.check = 2;printf( "%% versions 1 and 4 requires check 2 (solve A*x=b)\n" );}if (opts.check == 2 && opts.version == 2) {opts.check = 1;printf( "%% version 2 requires check 1 (R - Q^H*A)\n" );}printf( "%% version %lld\n", (long long) opts.version );if ( opts.check == 1 ) {printf("%% M N CPU Gflop/s (sec) GPU Gflop/s (sec) |R - Q^H*A| |I - Q^H*Q|\n");printf("%%==============================================================================\n");}else {printf("%% M N CPU Gflop/s (sec) GPU Gflop/s (sec) |b - A*x|\n");printf("%%===============================================================\n");}for( int itest = 0; itest < opts.ntest; ++itest ) {for( int iter = 0; iter < opts.niter; ++iter ) {M = opts.msize[itest];N = opts.nsize[itest];min_mn = min( M, N );lda = M;n2 = lda*N;ldda = magma_roundup( M, opts.align ); // multiple of 32 by defaultnb = magma_get_sgeqrf_nb( M, N );gflops = FLOPS_SGEQRF( M, N ) / 1e9;// query for workspace sizelwork = -1;lapackf77_sgeqrf( &M, &N, unused, &M, unused, tmp, &lwork, &info );lwork = (magma_int_t)MAGMA_S_REAL( tmp[0] );TESTING_CHECK( magma_smalloc_cpu( &tau, min_mn ));TESTING_CHECK( magma_smalloc_cpu( &h_A, n2 ));TESTING_CHECK( magma_smalloc_cpu( &h_work, lwork ));TESTING_CHECK( magma_smalloc_pinned( &h_R, n2 ));TESTING_CHECK( magma_smalloc( &d_A, ldda*N ));if ( opts.version == 1 || opts.version == 3 || opts.version == 4 ) {size = (2*min(M, N) + magma_roundup( N, 32 ) )*nb;TESTING_CHECK( magma_smalloc( &dT, size ));magmablas_slaset( MagmaFull, size, 1, c_zero, c_zero, dT, size, opts.queue );}/* Initialize the matrix */magma_generate_matrix( opts, M, N, h_A, lda );lapackf77_slacpy( MagmaFullStr, &M, &N, h_A, &lda, h_R, &lda );magma_ssetmatrix( M, N, h_R, lda, d_A, ldda, opts.queue );/* ====================================================================Performs operation using MAGMA=================================================================== */if ( opts.version == 1 ) {// stores dT, V blocks have zeros, R blocks inverted & stored in dTgpu_time = magma_wtime();magma_sgeqrf_gpu( M, N, d_A, ldda, tau, dT, &info );gpu_time = magma_wtime() - gpu_time;}else if ( opts.version == 2 ) {// LAPACK complaint argumentsgpu_time = magma_wtime();magma_sgeqrf2_gpu( M, N, d_A, ldda, tau, &info );gpu_time = magma_wtime() - gpu_time;}#if defined(MAGMA_HAVE_CUDA) || defined(MAGMA_HAVE_HIP)else if ( opts.version == 3 ) {// stores dT, V blocks have zeros, R blocks stored in dTgpu_time = magma_wtime();magma_sgeqrf3_gpu( M, N, d_A, ldda, tau, dT, &info );gpu_time = magma_wtime() - gpu_time;}#endifelse if (opts.version == 4) {// expert API for magma_sgeqrf_gpumagma_mode_t mode = MagmaHybrid;// query workspacevoid *host_work = NULL, *device_work=NULL;magma_int_t lhwork[1] = {-1}, ldwork[1] = {-1};magma_sgeqrf_expert_gpu_work(M, N, NULL, ldda,NULL, NULL, &info,mode, nb,NULL, lhwork,NULL, ldwork, queues );// alloc workspaceif( lhwork[0] > 0 ) {magma_malloc_pinned( (void**)&host_work, lhwork[0] );}if( ldwork[0] > 0 ) {magma_malloc( (void**)&device_work, ldwork[0] );}// time actual call onlygpu_time = magma_wtime();magma_sgeqrf_expert_gpu_work(M, N, d_A, ldda, tau, dT, &info,mode, nb,host_work, lhwork, device_work, ldwork, queues );magma_queue_sync( queues[0] );magma_queue_sync( queues[1] );gpu_time = magma_wtime() - gpu_time;// free workspaceif( host_work != NULL) {magma_free_pinned( host_work );}if( device_work != NULL ) {magma_free( device_work );}}else {printf( "Unknown version %lld\n", (long long) opts.version );return -1;}gpu_perf = gflops / gpu_time;if (info != 0) {printf("magma_sgeqrf returned error %lld: %s.\n",(long long) info, magma_strerror( info ));}if ( opts.check == 1 && (opts.version == 2 || opts.version == 3) ) {if ( opts.version == 3 ) {// copy diagonal blocks of R back to Afor( int i=0; i < min_mn-nb; i += nb ) {magma_int_t ib = min( min_mn-i, nb );magmablas_slacpy( MagmaUpper, ib, ib, &dT[min_mn*nb + i*nb], nb, &d_A[ i + i*ldda ], ldda, opts.queue );}}/* =====================================================================Check the result, following zqrt01 except using the reduced Q.This works for any M,N (square, tall, wide).Only for version 2, which has LAPACK complaint output.Or for version 3, after restoring diagonal blocks of A above.=================================================================== */magma_sgetmatrix( M, N, d_A, ldda, h_R, lda, opts.queue );magma_int_t ldq = M;magma_int_t ldr = min_mn;float *Q, *R;float *work;TESTING_CHECK( magma_smalloc_cpu( &Q, ldq*min_mn )); // M by KTESTING_CHECK( magma_smalloc_cpu( &R, ldr*N )); // K by NTESTING_CHECK( magma_smalloc_cpu( &work, min_mn ));// generate M by K matrix Q, where K = min(M,N)lapackf77_slacpy( "Lower", &M, &min_mn, h_R, &lda, Q, &ldq );lapackf77_sorgqr( &M, &min_mn, &min_mn, Q, &ldq, tau, h_work, &lwork, &info );assert( info == 0 );// copy K by N matrix Rlapackf77_slaset( "Lower", &min_mn, &N, &c_zero, &c_zero, R, &ldr );lapackf77_slacpy( "Upper", &min_mn, &N, h_R, &lda, R, &ldr );// error = || R - Q^H*A || / (N * ||A||)blasf77_sgemm( "Conj", "NoTrans", &min_mn, &N, &M,&c_neg_one, Q, &ldq, h_A, &lda, &c_one, R, &ldr );Anorm = lapackf77_slange( "1", &M, &N, h_A, &lda, work );error = lapackf77_slange( "1", &min_mn, &N, R, &ldr, work );if ( N > 0 && Anorm > 0 )error /= (N*Anorm);// set R = I (K by K identity), then R = I - Q^H*Q// error = || I - Q^H*Q || / Nlapackf77_slaset( "Upper", &min_mn, &min_mn, &c_zero, &c_one, R, &ldr );blasf77_ssyrk( "Upper", "Conj", &min_mn, &M, &d_neg_one, Q, &ldq, &d_one, R, &ldr );error2 = safe_lapackf77_slansy( "1", "Upper", &min_mn, R, &ldr, work );if ( N > 0 )error2 /= N;magma_free_cpu( Q ); Q = NULL;magma_free_cpu( R ); R = NULL;magma_free_cpu( work ); work = NULL;}else if ( opts.check == 2 && M >= N && (opts.version == 1 || opts.version == 3 || opts.version == 4) ) {/* =====================================================================Check the result by solving consistent linear system, A*x = b.Only for versions 1 & 3 with M >= N.=================================================================== */magma_int_t lwork2;float *x, *b, *hwork;magmaFloat_ptr d_B;// initialize RHS, b = A*randomTESTING_CHECK( magma_smalloc_cpu( &x, N ));TESTING_CHECK( magma_smalloc_cpu( &b, M ));lapackf77_slarnv( &ione, ISEED, &N, x );blasf77_sgemv( "Notrans", &M, &N, &c_one, h_A, &lda, x, &ione, &c_zero, b, &ione );// copy to GPUTESTING_CHECK( magma_smalloc( &d_B, M ));magma_ssetvector( M, b, 1, d_B, 1, opts.queue );if ( opts.version == 1 || opts.version == 4) {// allocate hworkmagma_sgeqrs_gpu( M, N, 1,d_A, ldda, tau, dT,d_B, M, tmp, -1, &info );lwork2 = (magma_int_t)MAGMA_S_REAL( tmp[0] );TESTING_CHECK( magma_smalloc_cpu( &hwork, lwork2 ));// solve linear systemmagma_sgeqrs_gpu( M, N, 1,d_A, ldda, tau, dT,d_B, M, hwork, lwork2, &info );if (info != 0) {printf("magma_sgeqrs returned error %lld: %s.\n",(long long) info, magma_strerror( info ));}magma_free_cpu( hwork );}#if defined(MAGMA_HAVE_CUDA) || defined(MAGMA_HAVE_HIP)else if ( opts.version == 3 ) {// allocate hworkmagma_sgeqrs3_gpu( M, N, 1,d_A, ldda, tau, dT,d_B, M, tmp, -1, &info );lwork2 = (magma_int_t)MAGMA_S_REAL( tmp[0] );TESTING_CHECK( magma_smalloc_cpu( &hwork, lwork2 ));// solve linear systemmagma_sgeqrs3_gpu( M, N, 1,d_A, ldda, tau, dT,d_B, M, hwork, lwork2, &info );if (info != 0) {printf("magma_sgeqrs3 returned error %lld: %s.\n",(long long) info, magma_strerror( info ));}magma_free_cpu( hwork );}#endifelse {printf( "Unknown version %lld\n", (long long) opts.version );return -1;}magma_sgetvector( N, d_B, 1, x, 1, opts.queue );// compute r = Ax - b, saved in bblasf77_sgemv( "Notrans", &M, &N, &c_one, h_A, &lda, x, &ione, &c_neg_one, b, &ione );// compute residual |Ax - b| / (max(m,n)*|A|*|x|)float norm_x, norm_A, norm_r, work[1];norm_A = lapackf77_slange( "F", &M, &N, h_A, &lda, work );norm_r = lapackf77_slange( "F", &M, &ione, b, &M, work );norm_x = lapackf77_slange( "F", &N, &ione, x, &N, work );magma_free_cpu( x );magma_free_cpu( b );magma_free( d_B );error = norm_r / (max(M,N) * norm_A * norm_x);}/* =====================================================================Performs operation using LAPACK=================================================================== */if ( opts.lapack ) {cpu_time = magma_wtime();lapackf77_sgeqrf( &M, &N, h_A, &lda, tau, h_work, &lwork, &info );cpu_time = magma_wtime() - cpu_time;cpu_perf = gflops / cpu_time;if (info != 0) {printf("lapackf77_sgeqrf returned error %lld: %s.\n",(long long) info, magma_strerror( info ));}}/* =====================================================================Print performance and error.=================================================================== */printf("%5lld %5lld ", (long long) M, (long long) N );if ( opts.lapack ) {printf( "%7.2f (%7.2f)", cpu_perf, cpu_time );}else {printf(" --- ( --- )" );}printf( " %7.2f (%7.2f) ", gpu_perf, gpu_time );if ( opts.check == 1 ) {bool okay = (error < tol && error2 < tol);status += ! okay;printf( "%11.2e %11.2e %s\n", error, error2, (okay ? "ok" : "failed") );}else if ( opts.check == 2 ) {if ( M >= N ) {bool okay = (error < tol);status += ! okay;printf( "%10.2e %s\n", error, (okay ? "ok" : "failed") );}else {printf( "(error check only for M >= N)\n" );}}else {printf( " ---\n" );}magma_free_cpu( tau );magma_free_cpu( h_A );magma_free_cpu( h_work );magma_free_pinned( h_R );magma_free( d_A );if ( opts.version == 1 || opts.version == 3 || opts.version == 4 ) {magma_free( dT );}fflush( stdout );}if ( opts.niter > 1 ) {printf( "\n" );}}magma_queue_destroy( queues[0] );magma_queue_destroy( queues[1] );opts.cleanup();TESTING_CHECK( magma_finalize() );return status;
}
流程分析：
改写为：
testing_cusolver_sgeqrf_gpu.cpp
#include <>待补。。。
