Пример #1
0
void magma_ssyr2k(
    magma_uplo_t uplo, magma_trans_t trans,
    magma_int_t n, magma_int_t k,
    float alpha, float const *dA, magma_int_t lda,
                           float const *dB, magma_int_t ldb,
    float beta,           float       *dC, magma_int_t ldc )
{
    cublasSsyr2k(
        cublas_uplo_const( uplo ),
        cublas_trans_const( trans ),
        n, k,
        alpha, dA, lda,
               dB, ldb,
        beta,  dC, ldc );
}
Пример #2
0
int main( int argc, char** argv )
{
    TESTING_INIT();
    
    real_Double_t   gflops, t1, t2;
    float c_neg_one = MAGMA_S_NEG_ONE;
    magma_int_t ione = 1;
    const char trans[] = { 'N', 'C', 'T' };
    const char uplo[]  = { 'L', 'U' };
    const char diag[]  = { 'U', 'N' };
    const char side[]  = { 'L', 'R' };
    
    float  *A,  *B,  *C,   *C2, *LU;
    float *dA, *dB, *dC1, *dC2;
    float alpha = MAGMA_S_MAKE( 0.5, 0.1 );
    float beta  = MAGMA_S_MAKE( 0.7, 0.2 );
    float dalpha = 0.6;
    float dbeta  = 0.8;
    float work[1], error, total_error;
    magma_int_t ISEED[4] = {0,0,0,1};
    magma_int_t m, n, k, size, maxn, ld, info;
    magma_int_t *piv;
    magma_err_t err;
    
    magma_opts opts;
    parse_opts( argc, argv, &opts );
    
    printf( "Compares magma wrapper function to cublas function; all diffs should be exactly 0.\n\n" );
    
    total_error = 0.;
    for( int i = 0; i < opts.ntest; ++i ) {
        m = opts.msize[i];
        n = opts.nsize[i];
        k = opts.ksize[i];
        printf("=========================================================================\n");
        printf( "M %d, N %d, K %d\n", (int) m, (int) n, (int) k );
        
        // allocate matrices
        // over-allocate so they can be any combination of {m,n,k} x {m,n,k}.
        maxn = max( max( m, n ), k );
        ld = maxn;
        size = maxn*maxn;
        err = magma_malloc_cpu( (void**) &piv, maxn*sizeof(magma_int_t) );  assert( err == 0 );
        err = magma_smalloc_pinned( &A,  size );  assert( err == 0 );
        err = magma_smalloc_pinned( &B,  size );  assert( err == 0 );
        err = magma_smalloc_pinned( &C,  size );  assert( err == 0 );
        err = magma_smalloc_pinned( &C2, size );  assert( err == 0 );
        err = magma_smalloc_pinned( &LU, size );  assert( err == 0 );
        err = magma_smalloc( &dA,  size );        assert( err == 0 );
        err = magma_smalloc( &dB,  size );        assert( err == 0 );
        err = magma_smalloc( &dC1, size );        assert( err == 0 );
        err = magma_smalloc( &dC2, size );        assert( err == 0 );
        
        // initialize matrices
        size = maxn*maxn;
        lapackf77_slarnv( &ione, ISEED, &size, A  );
        lapackf77_slarnv( &ione, ISEED, &size, B  );
        lapackf77_slarnv( &ione, ISEED, &size, C  );
        
        printf( "========== Level 1 BLAS ==========\n" );
        
        // ----- test SSWAP
        // swap 2nd and 3rd columns of dA, then copy to C2 and compare with A
        assert( n >= 4 );
        magma_ssetmatrix( m, n, A, ld, dA, ld );
        magma_ssetmatrix( m, n, A, ld, dB, ld );
        magma_sswap( m, dA(0,1), 1, dA(0,2), 1 );
        magma_sswap( m, dB(0,1), 1, dB(0,2), 1 );
        
        // check results, storing diff between magma and cuda calls in C2
        cublasSaxpy( ld*n, c_neg_one, dA, 1, dB, 1 );
        magma_sgetmatrix( m, n, dB, ld, C2, ld );
        error = lapackf77_slange( "F", &m, &k, C2, &ld, work );
        total_error += error;
        printf( "sswap             diff %.2g\n", error );
        
        // ----- test ISAMAX
        // get argmax of column of A
        magma_ssetmatrix( m, k, A, ld, dA, ld );
        error = 0;
        for( int j = 0; j < k; ++j ) {
            magma_int_t i1 = magma_isamax( m, dA(0,j), 1 );
            magma_int_t i2 = cublasIsamax( m, dA(0,j), 1 );
            assert( i1 == i2 );
            error += abs( i1 - i2 );
        }
        total_error += error;
        gflops = (float)m * k / 1e9;
        printf( "isamax            diff %.2g\n", error );
        printf( "\n" );
        
        printf( "========== Level 2 BLAS ==========\n" );
        
        // ----- test SGEMV
        // c = alpha*A*b + beta*c,  with A m*n; b,c m or n-vectors
        // try no-trans/trans
        for( int ia = 0; ia < 3; ++ia ) {
            magma_ssetmatrix( m, n, A,  ld, dA,  ld );
            magma_ssetvector( maxn, B, 1, dB,  1 );
            magma_ssetvector( maxn, C, 1, dC1, 1 );
            magma_ssetvector( maxn, C, 1, dC2, 1 );
            t1 = magma_sync_wtime( 0 );
            magma_sgemv( trans[ia], m, n, alpha, dA, ld, dB, 1, beta, dC1, 1 );
            t1 = magma_sync_wtime( 0 ) - t1;
            t2 = magma_sync_wtime( 0 );
            cublasSgemv( trans[ia], m, n, alpha, dA, ld, dB, 1, beta, dC2, 1 );
            t2 = magma_sync_wtime( 0 ) - t2;
            
            // check results, storing diff between magma and cuda call in C2
            size = (trans[ia] == 'N' ? m : n);
            cublasSaxpy( size, c_neg_one, dC1, 1, dC2, 1 );
            magma_sgetvector( size, dC2, 1, C2, 1 );
            error = lapackf77_slange( "F", &size, &ione, C2, &ld, work );
            total_error += error;
            gflops = FLOPS_SGEMV( m, n ) / 1e9;
            printf( "sgemv( %c )        diff %.2g,  Gflop/s %6.2f, %6.2f\n",
                    trans[ia], error, gflops/t1, gflops/t2 );
        }
        printf( "\n" );
        
        // ----- test SSYMV
        // c = alpha*A*b + beta*c,  with A m*m symmetric; b,c m-vectors
        // try upper/lower
        for( int iu = 0; iu < 2; ++iu ) {
            magma_ssetmatrix( m, m, A, ld, dA, ld );
            magma_ssetvector( m, B, 1, dB,  1 );
            magma_ssetvector( m, C, 1, dC1, 1 );
            magma_ssetvector( m, C, 1, dC2, 1 );
            t1 = magma_sync_wtime( 0 );
            magma_ssymv( uplo[iu], m, alpha, dA, ld, dB, 1, beta, dC1, 1 );
            t1 = magma_sync_wtime( 0 ) - t1;
            t2 = magma_sync_wtime( 0 );
            cublasSsymv( uplo[iu], m, alpha, dA, ld, dB, 1, beta, dC2, 1 );
            t2 = magma_sync_wtime( 0 ) - t2;
            
            // check results, storing diff between magma and cuda call in C2
            cublasSaxpy( m, c_neg_one, dC1, 1, dC2, 1 );
            magma_sgetvector( m, dC2, 1, C2, 1 );
            error = lapackf77_slange( "F", &m, &ione, C2, &ld, work );
            total_error += error;
            gflops = FLOPS_SSYMV( m ) / 1e9;
            printf( "ssymv( %c )        diff %.2g,  Gflop/s %6.2f, %6.2f\n",
                    uplo[iu], error, gflops/t1, gflops/t2 );
        }
        printf( "\n" );
        
        // ----- test STRSV
        // solve A*c = c,  with A m*m triangular; c m-vector
        // try upper/lower, no-trans/trans, unit/non-unit diag
        // Factor A into LU to get well-conditioned triangles, else solve yields garbage.
        // Still can give garbage if solves aren't consistent with LU factors,
        // e.g., using unit diag for U, so copy lower triangle to upper triangle.
        // Also used for trsm later.
        lapackf77_slacpy( "Full", &maxn, &maxn, A, &ld, LU, &ld );
        lapackf77_sgetrf( &maxn, &maxn, LU, &ld, piv, &info );
        for( int j = 0; j < maxn; ++j ) {
            for( int i = 0; i < j; ++i ) {
                *LU(i,j) = *LU(j,i);
            }
        }
        for( int iu = 0; iu < 2; ++iu ) {
        for( int it = 0; it < 3; ++it ) {
        for( int id = 0; id < 2; ++id ) {
            magma_ssetmatrix( m, m, LU, ld, dA, ld );
            magma_ssetvector( m, C, 1, dC1, 1 );
            magma_ssetvector( m, C, 1, dC2, 1 );
            t1 = magma_sync_wtime( 0 );
            magma_strsv( uplo[iu], trans[it], diag[id], m, dA, ld, dC1, 1 );
            t1 = magma_sync_wtime( 0 ) - t1;
            t2 = magma_sync_wtime( 0 );
            cublasStrsv( uplo[iu], trans[it], diag[id], m, dA, ld, dC2, 1 );
            t2 = magma_sync_wtime( 0 ) - t2;
            
            // check results, storing diff between magma and cuda call in C2
            cublasSaxpy( m, c_neg_one, dC1, 1, dC2, 1 );
            magma_sgetvector( m, dC2, 1, C2, 1 );
            error = lapackf77_slange( "F", &m, &ione, C2, &ld, work );
            total_error += error;
            gflops = FLOPS_STRSM( MagmaLeft, m, 1 ) / 1e9;
            printf( "strsv( %c, %c, %c )  diff %.2g,  Gflop/s %6.2f, %6.2f\n",
                    uplo[iu], trans[it], diag[id], error, gflops/t1, gflops/t2 );
        }}}
        printf( "\n" );
        
        printf( "========== Level 3 BLAS ==========\n" );
        
        // ----- test SGEMM
        // C = alpha*A*B + beta*C,  with A m*k or k*m; B k*n or n*k; C m*n
        // try combinations of no-trans/trans
        for( int ia = 0; ia < 3; ++ia ) {
        for( int ib = 0; ib < 3; ++ib ) {
            bool nta = (trans[ia] == 'N');
            bool ntb = (trans[ib] == 'N');
            magma_ssetmatrix( (nta ? m : k), (nta ? m : k), A, ld, dA,  ld );
            magma_ssetmatrix( (ntb ? k : n), (ntb ? n : k), B, ld, dB,  ld );
            magma_ssetmatrix( m, n, C, ld, dC1, ld );
            magma_ssetmatrix( m, n, C, ld, dC2, ld );
            t1 = magma_sync_wtime( 0 );
            magma_sgemm( trans[ia], trans[ib], m, n, k, alpha, dA, ld, dB, ld, beta, dC1, ld );
            t1 = magma_sync_wtime( 0 ) - t1;
            t2 = magma_sync_wtime( 0 );
            cublasSgemm( trans[ia], trans[ib], m, n, k, alpha, dA, ld, dB, ld, beta, dC2, ld );
            t2 = magma_sync_wtime( 0 ) - t2;
            
            // check results, storing diff between magma and cuda call in C2
            cublasSaxpy( ld*n, c_neg_one, dC1, 1, dC2, 1 );
            magma_sgetmatrix( m, n, dC2, ld, C2, ld );
            error = lapackf77_slange( "F", &m, &n, C2, &ld, work );
            total_error += error;
            gflops = FLOPS_SGEMM( m, n, k ) / 1e9;
            printf( "sgemm( %c, %c )     diff %.2g,  Gflop/s %6.2f, %6.2f\n",
                    trans[ia], trans[ib], error, gflops/t1, gflops/t2 );
        }}
        printf( "\n" );
        
        // ----- test SSYMM
        // C = alpha*A*B + beta*C  (left)  with A m*m symmetric; B,C m*n; or
        // C = alpha*B*A + beta*C  (right) with A n*n symmetric; B,C m*n
        // try left/right, upper/lower
        for( int is = 0; is < 2; ++is ) {
        for( int iu = 0; iu < 2; ++iu ) {
            magma_ssetmatrix( m, m, A, ld, dA,  ld );
            magma_ssetmatrix( m, n, B, ld, dB,  ld );
            magma_ssetmatrix( m, n, C, ld, dC1, ld );
            magma_ssetmatrix( m, n, C, ld, dC2, ld );
            t1 = magma_sync_wtime( 0 );
            magma_ssymm( side[is], uplo[iu], m, n, alpha, dA, ld, dB, ld, beta, dC1, ld );
            t1 = magma_sync_wtime( 0 ) - t1;
            t2 = magma_sync_wtime( 0 );
            cublasSsymm( side[is], uplo[iu], m, n, alpha, dA, ld, dB, ld, beta, dC2, ld );
            t2 = magma_sync_wtime( 0 ) - t2;
            
            // check results, storing diff between magma and cuda call in C2
            cublasSaxpy( ld*n, c_neg_one, dC1, 1, dC2, 1 );
            magma_sgetmatrix( m, n, dC2, ld, C2, ld );
            error = lapackf77_slange( "F", &m, &n, C2, &ld, work );
            total_error += error;
            gflops = FLOPS_SSYMM( side[is], m, n ) / 1e9;
            printf( "ssymm( %c, %c )     diff %.2g,  Gflop/s %6.2f, %6.2f\n",
                    side[is], uplo[iu], error, gflops/t1, gflops/t2 );
        }}
        printf( "\n" );
        
        // ----- test SSYRK
        // C = alpha*A*A^H + beta*C  (no-trans) with A m*k and C m*m symmetric; or
        // C = alpha*A^H*A + beta*C  (trans)    with A k*m and C m*m symmetric
        // try upper/lower, no-trans/trans
        for( int iu = 0; iu < 2; ++iu ) {
        for( int it = 0; it < 3; ++it ) {
            magma_ssetmatrix( n, k, A, ld, dA,  ld );
            magma_ssetmatrix( n, n, C, ld, dC1, ld );
            magma_ssetmatrix( n, n, C, ld, dC2, ld );
            t1 = magma_sync_wtime( 0 );
            magma_ssyrk( uplo[iu], trans[it], n, k, dalpha, dA, ld, dbeta, dC1, ld );
            t1 = magma_sync_wtime( 0 ) - t1;
            t2 = magma_sync_wtime( 0 );
            cublasSsyrk( uplo[iu], trans[it], n, k, dalpha, dA, ld, dbeta, dC2, ld );
            t2 = magma_sync_wtime( 0 ) - t2;
            
            // check results, storing diff between magma and cuda call in C2
            cublasSaxpy( ld*n, c_neg_one, dC1, 1, dC2, 1 );
            magma_sgetmatrix( n, n, dC2, ld, C2, ld );
            error = lapackf77_slange( "F", &n, &n, C2, &ld, work );
            total_error += error;
            gflops = FLOPS_SSYRK( k, n ) / 1e9;
            printf( "ssyrk( %c, %c )     diff %.2g,  Gflop/s %6.2f, %6.2f\n",
                    uplo[iu], trans[it], error, gflops/t1, gflops/t2 );
        }}
        printf( "\n" );
        
        // ----- test SSYR2K
        // C = alpha*A*B^H + ^alpha*B*A^H + beta*C  (no-trans) with A,B n*k; C n*n symmetric; or
        // C = alpha*A^H*B + ^alpha*B^H*A + beta*C  (trans)    with A,B k*n; C n*n symmetric
        // try upper/lower, no-trans/trans
        for( int iu = 0; iu < 2; ++iu ) {
        for( int it = 0; it < 3; ++it ) {
            bool nt = (trans[it] == 'N');
            magma_ssetmatrix( (nt ? n : k), (nt ? n : k), A, ld, dA,  ld );
            magma_ssetmatrix( n, n, C, ld, dC1, ld );
            magma_ssetmatrix( n, n, C, ld, dC2, ld );
            t1 = magma_sync_wtime( 0 );
            magma_ssyr2k( uplo[iu], trans[it], n, k, alpha, dA, ld, dB, ld, dbeta, dC1, ld );
            t1 = magma_sync_wtime( 0 ) - t1;
            t2 = magma_sync_wtime( 0 );
            cublasSsyr2k( uplo[iu], trans[it], n, k, alpha, dA, ld, dB, ld, dbeta, dC2, ld );
            t2 = magma_sync_wtime( 0 ) - t2;
            
            // check results, storing diff between magma and cuda call in C2
            cublasSaxpy( ld*n, c_neg_one, dC1, 1, dC2, 1 );
            magma_sgetmatrix( n, n, dC2, ld, C2, ld );
            error = lapackf77_slange( "F", &n, &n, C2, &ld, work );
            total_error += error;
            gflops = FLOPS_SSYR2K( k, n ) / 1e9;
            printf( "ssyr2k( %c, %c )    diff %.2g,  Gflop/s %6.2f, %6.2f\n",
                    uplo[iu], trans[it], error, gflops/t1, gflops/t2 );
        }}
        printf( "\n" );
        
        // ----- test STRMM
        // C = alpha*A*C  (left)  with A m*m triangular; C m*n; or
        // C = alpha*C*A  (right) with A n*n triangular; C m*n
        // try left/right, upper/lower, no-trans/trans, unit/non-unit
        for( int is = 0; is < 2; ++is ) {
        for( int iu = 0; iu < 2; ++iu ) {
        for( int it = 0; it < 3; ++it ) {
        for( int id = 0; id < 2; ++id ) {
            bool left = (side[is] == 'L');
            magma_ssetmatrix( (left ? m : n), (left ? m : n), A, ld, dA,  ld );
            magma_ssetmatrix( m, n, C, ld, dC1, ld );
            magma_ssetmatrix( m, n, C, ld, dC2, ld );
            t1 = magma_sync_wtime( 0 );
            magma_strmm( side[is], uplo[iu], trans[it], diag[id], m, n, alpha, dA, ld, dC1, ld );
            t1 = magma_sync_wtime( 0 ) - t1;
            t2 = magma_sync_wtime( 0 );
            cublasStrmm( side[is], uplo[iu], trans[it], diag[id], m, n, alpha, dA, ld, dC2, ld );
            t2 = magma_sync_wtime( 0 ) - t2;
            
            // check results, storing diff between magma and cuda call in C2
            cublasSaxpy( ld*n, c_neg_one, dC1, 1, dC2, 1 );
            magma_sgetmatrix( m, n, dC2, ld, C2, ld );
            error = lapackf77_slange( "F", &n, &n, C2, &ld, work );
            total_error += error;
            gflops = FLOPS_STRMM( side[is], m, n ) / 1e9;
            printf( "strmm( %c, %c )     diff %.2g,  Gflop/s %6.2f, %6.2f\n",
                    uplo[iu], trans[it], error, gflops/t1, gflops/t2 );
        }}}}
        printf( "\n" );
        
        // ----- test STRSM
        // solve A*X = alpha*B  (left)  with A m*m triangular; B m*n; or
        // solve X*A = alpha*B  (right) with A n*n triangular; B m*n
        // try left/right, upper/lower, no-trans/trans, unit/non-unit
        for( int is = 0; is < 2; ++is ) {
        for( int iu = 0; iu < 2; ++iu ) {
        for( int it = 0; it < 3; ++it ) {
        for( int id = 0; id < 2; ++id ) {
            bool left = (side[is] == 'L');
            magma_ssetmatrix( (left ? m : n), (left ? m : n), LU, ld, dA,  ld );
            magma_ssetmatrix( m, n, C, ld, dC1, ld );
            magma_ssetmatrix( m, n, C, ld, dC2, ld );
            t1 = magma_sync_wtime( 0 );
            magma_strsm( side[is], uplo[iu], trans[it], diag[id], m, n, alpha, dA, ld, dC1, ld );
            t1 = magma_sync_wtime( 0 ) - t1;
            t2 = magma_sync_wtime( 0 );
            cublasStrsm( side[is], uplo[iu], trans[it], diag[id], m, n, alpha, dA, ld, dC2, ld );
            t2 = magma_sync_wtime( 0 ) - t2;
            
            // check results, storing diff between magma and cuda call in C2
            cublasSaxpy( ld*n, c_neg_one, dC1, 1, dC2, 1 );
            magma_sgetmatrix( m, n, dC2, ld, C2, ld );
            error = lapackf77_slange( "F", &n, &n, C2, &ld, work );
            total_error += error;
            gflops = FLOPS_STRSM( side[is], m, n ) / 1e9;
            printf( "strsm( %c, %c )     diff %.2g,  Gflop/s %6.2f, %6.2f\n",
                    uplo[iu], trans[it], error, gflops/t1, gflops/t2 );
        }}}}
        printf( "\n" );
        
        // cleanup
        magma_free_cpu( piv );
        magma_free_pinned( A  );
        magma_free_pinned( B  );
        magma_free_pinned( C  );
        magma_free_pinned( C2 );
        magma_free_pinned( LU );
        magma_free( dA  );
        magma_free( dB  );
        magma_free( dC1 );
        magma_free( dC2 );
    }
    
    if ( total_error != 0. ) {
        printf( "total error %.2g -- ought to be 0 -- some test failed (see above).\n",
                total_error );
    }
    else {
        printf( "all tests passed\n" );
    }
    
    TESTING_FINALIZE();
    return 0;
}