Beispiel #1
0
/* ////////////////////////////////////////////////////////////////////////////
   -- Testing ssygvdx
*/
int main( int argc, char** argv)
{
    TESTING_INIT();

    /* Constants */
    const float c_zero    = MAGMA_S_ZERO;
    const float c_one     = MAGMA_S_ONE;
    const float c_neg_one = MAGMA_S_NEG_ONE;
    const magma_int_t ione = 1;
    
    /* Local variables */
    real_Double_t gpu_time;

    float *h_A, *h_R, *h_B, *h_S, *h_work;

    #ifdef COMPLEX
    float *rwork;
    magma_int_t lrwork;
    #endif

    float *w1, *w2, result[2]={0,0};
    magma_int_t *iwork;
    magma_int_t N, n2, info, lda, lwork, liwork;
    magma_int_t ISEED[4] = {0,0,0,1};
    magma_int_t status = 0;

    magma_opts opts;
    opts.parse_opts( argc, argv );
    
    float tol    = opts.tolerance * lapackf77_slamch("E");
    float tolulp = opts.tolerance * lapackf77_slamch("P");

    magma_range_t range = MagmaRangeAll;
    if (opts.fraction != 1)
        range = MagmaRangeI;

    // pass ngpu = -1 to test multi-GPU code using 1 gpu
    magma_int_t abs_ngpu = abs( opts.ngpu );
    
    printf("%% itype = %d, jobz = %s, range = %s, uplo = %s, fraction = %6.4f, ngpu = %d\n",
           int(opts.itype), lapack_vec_const(opts.jobz), lapack_range_const(range), lapack_uplo_const(opts.uplo),
           opts.fraction, int(abs_ngpu) );

    if (opts.itype == 1) {
        printf("%%   N     M   GPU Time (sec)   |AZ-BZD|   |D - D_magma|\n");
    }                                                   
    else if (opts.itype == 2) {                      
        printf("%%   N     M   GPU Time (sec)   |ABZ-ZD|   |D - D_magma|\n");
    }                                                   
    else if (opts.itype == 3) {                      
        printf("%%   N     M   GPU Time (sec)   |BAZ-ZD|   |D - D_magma|\n");
    }                                     
        printf("%%======================================================\n");
    magma_int_t threads = magma_get_parallel_numthreads();
    for( int itest = 0; itest < opts.ntest; ++itest ) {
        for( int iter = 0; iter < opts.niter; ++iter ) {
            N = opts.nsize[itest];
            lda = N;
            n2  = lda*N;
            
            // TODO: test vl-vu range
            magma_int_t m1 = 0;
            float vl = 0;
            float vu = 0;
            magma_int_t il = 0;
            magma_int_t iu = 0;
            if (opts.fraction == 0) {
                il = max( 1, magma_int_t(0.1*N) );
                iu = max( 1, magma_int_t(0.3*N) );
            }
            else {
                il = 1;
                iu = max( 1, magma_int_t(opts.fraction*N) );
            }

            magma_ssyevdx_getworksize(N, threads, (opts.jobz == MagmaVec),
                                     &lwork,
                                     #ifdef COMPLEX
                                     &lrwork,
                                     #endif
                                     &liwork);
            /* Allocate host memory for the matrix */
            TESTING_MALLOC_CPU( h_A,    float, n2 );
            TESTING_MALLOC_CPU( h_B,    float, n2 );
            TESTING_MALLOC_CPU( w1,     float, N );
            TESTING_MALLOC_CPU( w2,     float, N );
            TESTING_MALLOC_CPU( iwork,  magma_int_t, liwork );
            
            TESTING_MALLOC_PIN( h_R,    float, n2 );
            TESTING_MALLOC_PIN( h_S,    float, n2 );
            TESTING_MALLOC_PIN( h_work, float, max( lwork, N*N ));  // check needs N*N
            #ifdef COMPLEX
            TESTING_MALLOC_PIN( rwork,  float, lrwork);
            #endif

            /* Initialize the matrix */
            lapackf77_slarnv( &ione, ISEED, &n2, h_A );
            lapackf77_slarnv( &ione, ISEED, &n2, h_B );
            magma_smake_hpd( N, h_B, lda );
            magma_smake_symmetric( N, h_A, lda );

            lapackf77_slacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
            lapackf77_slacpy( MagmaFullStr, &N, &N, h_B, &lda, h_S, &lda );

            // ===================================================================
            // Performs operation using MAGMA
            // ===================================================================
            gpu_time = magma_wtime();
            if (opts.ngpu == 1) {
                magma_ssygvdx_2stage( opts.itype, opts.jobz, range, opts.uplo,
                                      N, h_R, lda, h_S, lda, vl, vu, il, iu, &m1, w1,
                                      h_work, lwork,
                                      #ifdef COMPLEX
                                      rwork, lrwork,
                                      #endif
                                      iwork, liwork,
                                      &info );
            }
            else {
                magma_ssygvdx_2stage_m( abs_ngpu, opts.itype, opts.jobz, range, opts.uplo,
                                        N, h_R, lda, h_S, lda, vl, vu, il, iu, &m1, w1,
                                        h_work, lwork,
                                        #ifdef COMPLEX
                                        rwork, lrwork,
                                        #endif
                                        iwork, liwork,
                                        &info );
            }
            gpu_time = magma_wtime() - gpu_time;
            if (info != 0) {
                printf("magma_ssygvdx_2stage returned error %d: %s.\n",
                       (int) info, magma_strerror( info ));
            }
            
            if ( opts.check ) {
                /* =====================================================================
                   Check the results following the LAPACK's [zc]hegvdx routine.
                   A x = lambda B x is solved
                   and the following 3 tests computed:
                   (1)    | A Z - B Z D | / ( |A| |Z| N )  (itype = 1)
                          | A B Z - Z D | / ( |A| |Z| N )  (itype = 2)
                          | B A Z - Z D | / ( |A| |Z| N )  (itype = 3)
                   (2)    | D(with V, magma) - D(w/o V, lapack) | / | D |
                   =================================================================== */
                #ifdef REAL
                float *rwork = h_work + N*N;
                #endif
                
                if ( opts.jobz != MagmaNoVec ) {
                    result[0] = 1.;
                    result[0] /= safe_lapackf77_slansy("1", lapack_uplo_const(opts.uplo), &N, h_A, &lda, rwork);
                    result[0] /= lapackf77_slange("1", &N, &m1, h_R, &lda, rwork);
                    
                    if (opts.itype == 1) {
                        blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &m1, &c_one, h_A, &lda, h_R, &lda, &c_zero, h_work, &N);
                        for (int i=0; i < m1; ++i)
                            blasf77_sscal(&N, &w1[i], &h_R[i*N], &ione);
                        blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &m1, &c_neg_one, h_B, &lda, h_R, &lda, &c_one, h_work, &N);
                        result[0] *= lapackf77_slange("1", &N, &m1, h_work, &N, rwork)/N;
                    }
                    else if (opts.itype == 2) {
                        blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &m1, &c_one, h_B, &lda, h_R, &lda, &c_zero, h_work, &N);
                        for (int i=0; i < m1; ++i)
                            blasf77_sscal(&N, &w1[i], &h_R[i*N], &ione);
                        blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &m1, &c_one, h_A, &lda, h_work, &N, &c_neg_one, h_R, &lda);
                        result[0] *= lapackf77_slange("1", &N, &m1, h_R, &lda, rwork)/N;
                    }
                    else if (opts.itype == 3) {
                        blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &m1, &c_one, h_A, &lda, h_R, &lda, &c_zero, h_work, &N);
                        for (int i=0; i < m1; ++i)
                            blasf77_sscal(&N, &w1[i], &h_R[i*N], &ione);
                        blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &m1, &c_one, h_B, &lda, h_work, &N, &c_neg_one, h_R, &lda);
                        result[0] *= lapackf77_slange("1", &N, &m1, h_R, &lda, rwork)/N;
                    }
                }
                
                lapackf77_slacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
                lapackf77_slacpy( MagmaFullStr, &N, &N, h_B, &lda, h_S, &lda );
                
                lapackf77_ssygvd( &opts.itype, "N", lapack_uplo_const(opts.uplo), &N,
                                  h_R, &lda, h_S, &lda, w2,
                                  h_work, &lwork,
                                  #ifdef COMPLEX
                                  rwork, &lrwork,
                                  #endif
                                  iwork, &liwork,
                                  &info );
                if (info != 0) {
                    printf("lapackf77_ssygvd returned error %d: %s.\n",
                           (int) info, magma_strerror( info ));
                }
                
                float maxw=0, diff=0;
                for (int j=0; j < m1; j++) {
                    maxw = max(maxw, fabs(w1[j]));
                    maxw = max(maxw, fabs(w2[j]));
                    diff = max(diff, fabs(w1[j] - w2[j]));
                }
                result[1] = diff / (m1*maxw);
            }
            
            /* =====================================================================
               Print execution time
               =================================================================== */
            printf("%5d %5d   %9.4f     ",
                   (int) N, (int) m1, gpu_time);
            if ( opts.check ) {
                bool okay = (result[1] < tolulp);
                if ( opts.jobz != MagmaNoVec ) {
                    okay = okay && (result[0] < tol);
                    printf("   %8.2e", result[0] );
                }
                else {
                    printf("     ---   ");
                }
                printf("        %8.2e  %s\n", result[1], (okay ? "ok" : "failed"));
                status += ! okay;
            }
            else {
                printf("     ---\n");
            }
            
            TESTING_FREE_CPU( h_A   );
            TESTING_FREE_CPU( h_B   );
            TESTING_FREE_CPU( w1    );
            TESTING_FREE_CPU( w2    );
            TESTING_FREE_CPU( iwork );
            
            TESTING_FREE_PIN( h_R );
            TESTING_FREE_PIN( h_S );
            TESTING_FREE_PIN( h_work );
            #ifdef COMPLEX
            TESTING_FREE_PIN( rwork );
            #endif
            fflush( stdout );
        }
        if ( opts.niter > 1 ) {
            printf( "\n" );
        }
    }

    opts.cleanup();
    TESTING_FINALIZE();
    return status;
}
Beispiel #2
0
/* ////////////////////////////////////////////////////////////////////////////
   -- Testing sgeqrf
*/
int main( int argc, char** argv)
{
    TESTING_INIT();

    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];
    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 );
    
    magma_int_t status = 0;
    float tol = opts.tolerance * lapackf77_slamch("E");
    
    // version 3 can do either check
    if (opts.check == 1 && opts.version == 1) {
        opts.check = 2;
        printf( "%% version 1 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 %d\n", (int) 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 default
            nb     = magma_get_sgeqrf_nb( M, N );
            gflops = FLOPS_SGEQRF( M, N ) / 1e9;
            
            // query for workspace size
            lwork = -1;
            lapackf77_sgeqrf( &M, &N, NULL, &M, NULL, tmp, &lwork, &info );
            lwork = (magma_int_t)MAGMA_S_REAL( tmp[0] );
            
            TESTING_MALLOC_CPU( tau,    float, min_mn );
            TESTING_MALLOC_CPU( h_A,    float, n2     );
            TESTING_MALLOC_CPU( h_work, float, lwork  );
            
            TESTING_MALLOC_PIN( h_R,    float, n2     );
            
            TESTING_MALLOC_DEV( d_A,    float, ldda*N );
            
            if ( opts.version == 1 || opts.version == 3 ) {
                size = (2*min(M, N) + magma_roundup( N, 32 ) )*nb;
                TESTING_MALLOC_DEV( dT, float, size );
                magmablas_slaset( MagmaFull, size, 1, c_zero, c_zero, dT, size );
            }
            
            /* Initialize the matrix */
            lapackf77_slarnv( &ione, ISEED, &n2, h_A );
            lapackf77_slacpy( MagmaFullStr, &M, &N, h_A, &lda, h_R, &lda );
            magma_ssetmatrix( M, N, h_R, lda, d_A, ldda );
            
            /* ====================================================================
               Performs operation using MAGMA
               =================================================================== */
            nb = magma_get_sgeqrf_nb( M, N );
            
            gpu_time = magma_wtime();
            if ( opts.version == 1 ) {
                // stores dT, V blocks have zeros, R blocks inverted & stored in dT
                magma_sgeqrf_gpu( M, N, d_A, ldda, tau, dT, &info );
            }
            else if ( opts.version == 2 ) {
                // LAPACK complaint arguments
                magma_sgeqrf2_gpu( M, N, d_A, ldda, tau, &info );
            }
            #ifdef HAVE_CUBLAS
            else if ( opts.version == 3 ) {
                // stores dT, V blocks have zeros, R blocks stored in dT
                magma_sgeqrf3_gpu( M, N, d_A, ldda, tau, dT, &info );
            }
            #endif
            else {
                printf( "Unknown version %d\n", (int) opts.version );
                return -1;
            }
            gpu_time = magma_wtime() - gpu_time;
            gpu_perf = gflops / gpu_time;
            if (info != 0) {
                printf("magma_sgeqrf returned error %d: %s.\n",
                       (int) 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 A
                    for( 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 );
                    }
                }
                
                /* =====================================================================
                   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 );
                
                magma_int_t ldq = M;
                magma_int_t ldr = min_mn;
                float *Q, *R;
                float *work;
                TESTING_MALLOC_CPU( Q,    float, ldq*min_mn );  // M by K
                TESTING_MALLOC_CPU( R,    float, ldr*N );       // K by N
                TESTING_MALLOC_CPU( work, float,             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 R
                lapackf77_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 || / N
                lapackf77_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;
                
                TESTING_FREE_CPU( Q    );  Q    = NULL;
                TESTING_FREE_CPU( R    );  R    = NULL;
                TESTING_FREE_CPU( work );  work = NULL;
            }
            else if ( opts.check == 2 && M >= N && (opts.version == 1 || opts.version == 3) ) {
                /* =====================================================================
                   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*random
                TESTING_MALLOC_CPU( x, float, N );
                TESTING_MALLOC_CPU( b, float, 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 GPU
                TESTING_MALLOC_DEV( d_B, float, M );
                magma_ssetvector( M, b, 1, d_B, 1 );

                if ( opts.version == 1 ) {
                    // allocate hwork
                    magma_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_MALLOC_CPU( hwork, float, lwork2 );

                    // solve linear system
                    magma_sgeqrs_gpu( M, N, 1,
                                      d_A, ldda, tau, dT,
                                      d_B, M, hwork, lwork2, &info );
                    if (info != 0) {
                        printf("magma_sgeqrs returned error %d: %s.\n",
                               (int) info, magma_strerror( info ));
                    }
                    TESTING_FREE_CPU( hwork );
                }
                #ifdef HAVE_CUBLAS
                else if ( opts.version == 3 ) {
                    // allocate hwork
                    magma_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_MALLOC_CPU( hwork, float, lwork2 );

                    // solve linear system
                    magma_sgeqrs3_gpu( M, N, 1,
                                       d_A, ldda, tau, dT,
                                       d_B, M, hwork, lwork2, &info );
                    if (info != 0) {
                        printf("magma_sgeqrs3 returned error %d: %s.\n",
                               (int) info, magma_strerror( info ));
                    }
                    TESTING_FREE_CPU( hwork );
                }
                #endif
                else {
                    printf( "Unknown version %d\n", (int) opts.version );
                    return -1;
                }
                magma_sgetvector( N, d_B, 1, x, 1 );

                // compute r = Ax - b, saved in b
                blasf77_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 );

                TESTING_FREE_CPU( x );
                TESTING_FREE_CPU( b );
                TESTING_FREE_DEV( 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 %d: %s.\n",
                           (int) info, magma_strerror( info ));
                }
            }
            
            /* =====================================================================
               Print performance and error.
               =================================================================== */
            printf("%5d %5d   ", (int) M, (int) 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" );
            }
            
            TESTING_FREE_CPU( tau    );
            TESTING_FREE_CPU( h_A    );
            TESTING_FREE_CPU( h_work );
            
            TESTING_FREE_PIN( h_R );
            
            TESTING_FREE_DEV( d_A );
            
            if ( opts.version == 1 || opts.version == 3 ) {
                TESTING_FREE_DEV( dT );
            }
            
            fflush( stdout );
        }
        if ( opts.niter > 1 ) {
            printf( "\n" );
        }
    }
    
    opts.cleanup();
    TESTING_FINALIZE();
    return status;
}
Beispiel #3
0
/* ////////////////////////////////////////////////////////////////////////////
   -- Testing ssygst
*/
int main( int argc, char** argv)
{
    TESTING_INIT();
    
    // Constants
    const float c_neg_one = MAGMA_S_NEG_ONE;
    const magma_int_t ione = 1;

    // Local variables
    real_Double_t gpu_time, cpu_time;
    float *h_A, *h_B, *h_R;
    magmaFloat_ptr d_A, d_B;
    float      Anorm, error, work[1];
    magma_int_t N, n2, lda, ldda, info;
    magma_int_t ISEED[4] = {0,0,0,1};
    magma_int_t status = 0;
    
    magma_opts opts;
    opts.parse_opts( argc, argv );
    opts.lapack |= opts.check;  // check (-c) implies lapack (-l)
    
    float tol = opts.tolerance * lapackf77_slamch("E");

    printf("%% uplo = %s\n", lapack_uplo_const(opts.uplo) );
    printf("%% itype   N   CPU time (sec)   GPU time (sec)   |R|     \n");
    printf("%%=======================================================\n");
    for( int itest = 0; itest < opts.ntest; ++itest ) {
        for( int iter = 0; iter < opts.niter; ++iter ) {
            N = opts.nsize[itest];
            lda    = N;
            ldda   = magma_roundup( lda, opts.align );
            n2     = N*lda;
            
            TESTING_MALLOC_CPU( h_A,     float, lda*N );
            TESTING_MALLOC_CPU( h_B,     float, lda*N );
            
            TESTING_MALLOC_PIN( h_R,     float, lda*N );
            
            TESTING_MALLOC_DEV( d_A,     float, ldda*N );
            TESTING_MALLOC_DEV( d_B,     float, ldda*N );
            
            /* ====================================================================
               Initialize the matrix
               =================================================================== */
            lapackf77_slarnv( &ione, ISEED, &n2, h_A );
            lapackf77_slarnv( &ione, ISEED, &n2, h_B );
            magma_smake_symmetric( N, h_A, lda );
            magma_smake_hpd(       N, h_B, lda );
            magma_spotrf( opts.uplo, N, h_B, lda, &info );
            if (info != 0) {
                printf("magma_spotrf returned error %d: %s.\n",
                       (int) info, magma_strerror( info ));
            }
            
            magma_ssetmatrix( N, N, h_A, lda, d_A, ldda, opts.queue );
            magma_ssetmatrix( N, N, h_B, lda, d_B, ldda, opts.queue );
            
            /* ====================================================================
               Performs operation using MAGMA
               =================================================================== */
            gpu_time = magma_wtime();
            magma_ssygst_gpu( opts.itype, opts.uplo, N, d_A, ldda, d_B, ldda, &info );
            gpu_time = magma_wtime() - gpu_time;
            if (info != 0) {
                printf("magma_ssygst_gpu returned error %d: %s.\n",
                       (int) info, magma_strerror( info ));
            }
            
            /* =====================================================================
               Performs operation using LAPACK
               =================================================================== */
            if ( opts.lapack ) {
                cpu_time = magma_wtime();
                lapackf77_ssygst( &opts.itype, lapack_uplo_const(opts.uplo),
                                  &N, h_A, &lda, h_B, &lda, &info );
                cpu_time = magma_wtime() - cpu_time;
                if (info != 0) {
                    printf("lapackf77_ssygst returned error %d: %s.\n",
                           (int) info, magma_strerror( info ));
                }
                
                magma_sgetmatrix( N, N, d_A, ldda, h_R, lda, opts.queue );
                
                blasf77_saxpy( &n2, &c_neg_one, h_A, &ione, h_R, &ione );
                Anorm = safe_lapackf77_slansy("f", lapack_uplo_const(opts.uplo), &N, h_A, &lda, work );
                error = safe_lapackf77_slansy("f", lapack_uplo_const(opts.uplo), &N, h_R, &lda, work )
                      / Anorm;
                
                bool okay = (error < tol);
                status += ! okay;
                printf("%3d   %5d   %7.2f          %7.2f          %8.2e   %s\n",
                       (int) opts.itype, (int) N, cpu_time, gpu_time,
                       error, (okay ? "ok" : "failed"));
            }
            else {
                printf("%3d   %5d     ---            %7.2f\n",
                       (int) opts.itype, (int) N, gpu_time );
            }
            
            TESTING_FREE_CPU( h_A );
            TESTING_FREE_CPU( h_B );
            
            TESTING_FREE_PIN( h_R );
            
            TESTING_FREE_DEV( d_A );
            TESTING_FREE_DEV( d_B );
            
            fflush( stdout );
        }
        if ( opts.niter > 1 ) {
            printf( "\n" );
        }
    }

    opts.cleanup();
    TESTING_FINALIZE();
    return status;
}