/* ////////////////////////////////////////////////////////////////////////////
-- Testing strmv
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gflops, cublas_perf, cublas_time, cpu_perf, cpu_time;
float cublas_error, Cnorm, work[1];
magma_int_t N;
magma_int_t Ak;
magma_int_t sizeA;
magma_int_t lda, ldda;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
float *h_A, *h_x, *h_xcublas;
magmaFloat_ptr d_A, d_x;
float c_neg_one = MAGMA_S_NEG_ONE;
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("%% If running lapack (option --lapack), CUBLAS error is computed\n"
"%% relative to CPU BLAS result.\n\n");
printf("%% uplo = %s, transA = %s, diag = %s \n",
lapack_uplo_const(opts.uplo), lapack_trans_const(opts.transA),
lapack_diag_const(opts.diag) );
printf("%% N CUBLAS Gflop/s (ms) CPU Gflop/s (ms) CUBLAS error\n");
printf("%%=================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[itest];
gflops = FLOPS_STRMM(opts.side, N, 1) / 1e9;
lda = N;
Ak = N;
ldda = magma_roundup( lda, opts.align ); // multiple of 32 by default
sizeA = lda*Ak;
TESTING_MALLOC_CPU( h_A, float, lda*Ak );
TESTING_MALLOC_CPU( h_x, float, N );
TESTING_MALLOC_CPU( h_xcublas, float, N );
TESTING_MALLOC_DEV( d_A, float, ldda*Ak );
TESTING_MALLOC_DEV( d_x, float, N );
/* Initialize the matrices */
lapackf77_slarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_slarnv( &ione, ISEED, &N, h_x );
/* =====================================================================
Performs operation using CUBLAS
=================================================================== */
magma_ssetmatrix( Ak, Ak, h_A, lda, d_A, ldda, opts.queue );
magma_ssetvector( N, h_x, 1, d_x, 1, opts.queue );
cublas_time = magma_sync_wtime( opts.queue );
#ifdef HAVE_CUBLAS
cublasStrmv( opts.handle, cublas_uplo_const(opts.uplo), cublas_trans_const(opts.transA),
cublas_diag_const(opts.diag),
N,
d_A, ldda,
d_x, 1 );
#else
magma_strmv( opts.uplo, opts.transA, opts.diag,
N,
d_A, 0, ldda,
d_x, 0, 1, opts.queue );
#endif
cublas_time = magma_sync_wtime( opts.queue ) - cublas_time;
cublas_perf = gflops / cublas_time;
magma_sgetvector( N, d_x, 1, h_xcublas, 1, opts.queue );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
blasf77_strmv( lapack_uplo_const(opts.uplo), lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&N,
h_A, &lda,
h_x, &ione );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.lapack ) {
// compute relative error for both magma & cublas, relative to lapack,
// |C_magma - C_lapack| / |C_lapack|
Cnorm = lapackf77_slange( "M", &N, &ione, h_x, &N, work );
blasf77_saxpy( &N, &c_neg_one, h_x, &ione, h_xcublas, &ione );
cublas_error = lapackf77_slange( "M", &N, &ione, h_xcublas, &N, work ) / Cnorm;
printf("%5d %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(int) N,
cublas_perf, 1000.*cublas_time,
cpu_perf, 1000.*cpu_time,
cublas_error, (cublas_error < tol ? "ok" : "failed"));
status += ! (cublas_error < tol);
}
else {
printf("%5d %7.2f (%7.2f) --- ( --- ) --- ---\n",
(int) N,
cublas_perf, 1000.*cublas_time);
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_x );
TESTING_FREE_CPU( h_xcublas );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_x );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_FINALIZE();
return status;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing strmm
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gflops, cublas_perf, cublas_time, cpu_perf, cpu_time;
float cublas_error, Cnorm, work[1];
magma_int_t M, N;
magma_int_t Ak;
magma_int_t sizeA, sizeB;
magma_int_t lda, ldb, ldda, lddb;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
float *h_A, *h_B, *h_Bcublas;
float *d_A, *d_B;
float c_neg_one = MAGMA_S_NEG_ONE;
float alpha = MAGMA_S_MAKE( 0.29, -0.86 );
magma_int_t status = 0;
magma_opts opts;
parse_opts( argc, argv, &opts );
opts.lapack |= opts.check; // check (-c) implies lapack (-l)
float tol = opts.tolerance * lapackf77_slamch("E");
printf("If running lapack (option --lapack), CUBLAS error is computed\n"
"relative to CPU BLAS result.\n\n");
printf("side = %s, uplo = %s, transA = %s, diag = %s \n",
lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag) );
printf(" M N CUBLAS Gflop/s (ms) CPU Gflop/s (ms) CUBLAS error\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];
gflops = FLOPS_STRMM(opts.side, M, N) / 1e9;
if ( opts.side == MagmaLeft ) {
lda = M;
Ak = M;
} else {
lda = N;
Ak = N;
}
ldb = M;
ldda = ((lda+31)/32)*32;
lddb = ((ldb+31)/32)*32;
sizeA = lda*Ak;
sizeB = ldb*N;
TESTING_MALLOC_CPU( h_A, float, lda*Ak );
TESTING_MALLOC_CPU( h_B, float, ldb*N );
TESTING_MALLOC_CPU( h_Bcublas, float, ldb*N );
TESTING_MALLOC_DEV( d_A, float, ldda*Ak );
TESTING_MALLOC_DEV( d_B, float, lddb*N );
/* Initialize the matrices */
lapackf77_slarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_slarnv( &ione, ISEED, &sizeB, h_B );
/* =====================================================================
Performs operation using CUBLAS
=================================================================== */
magma_ssetmatrix( Ak, Ak, h_A, lda, d_A, ldda );
magma_ssetmatrix( M, N, h_B, ldb, d_B, lddb );
// note cublas does trmm out-of-place (i.e., adds output matrix C),
// but allows C=B to do in-place.
cublas_time = magma_sync_wtime( NULL );
cublasStrmm( handle, cublas_side_const(opts.side), cublas_uplo_const(opts.uplo),
cublas_trans_const(opts.transA), cublas_diag_const(opts.diag),
M, N,
&alpha, d_A, ldda,
d_B, lddb,
d_B, lddb );
cublas_time = magma_sync_wtime( NULL ) - cublas_time;
cublas_perf = gflops / cublas_time;
magma_sgetmatrix( M, N, d_B, lddb, h_Bcublas, ldb );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
blasf77_strmm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&alpha, h_A, &lda,
h_B, &ldb );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.lapack ) {
// compute relative error for both magma & cublas, relative to lapack,
// |C_magma - C_lapack| / |C_lapack|
Cnorm = lapackf77_slange( "M", &M, &N, h_B, &ldb, work );
blasf77_saxpy( &sizeB, &c_neg_one, h_B, &ione, h_Bcublas, &ione );
cublas_error = lapackf77_slange( "M", &M, &N, h_Bcublas, &ldb, work ) / Cnorm;
printf("%5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(int) M, (int) N,
cublas_perf, 1000.*cublas_time,
cpu_perf, 1000.*cpu_time,
cublas_error, (cublas_error < tol ? "ok" : "failed"));
status += ! (cublas_error < tol);
}
else {
printf("%5d %5d %7.2f (%7.2f) --- ( --- ) --- ---\n",
(int) M, (int) N,
cublas_perf, 1000.*cublas_time);
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_B );
TESTING_FREE_CPU( h_Bcublas );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_B );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
TESTING_FINALIZE();
return status;
}
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;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing strmm
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gflops, cublas_perf, cublas_time, cpu_perf, cpu_time;
float cublas_error, Cnorm, work[1];
magma_int_t M, N;
magma_int_t Ak;
magma_int_t sizeA, sizeB;
magma_int_t lda, ldb, ldda, lddb;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
float *h_A, *h_B, *h_Bcublas;
float *d_A, *d_B;
float c_neg_one = MAGMA_S_NEG_ONE;
float alpha = MAGMA_S_MAKE( 0.29, -0.86 );
magma_opts opts;
parse_opts( argc, argv, &opts );
printf("If running lapack (option --lapack), MAGMA and CUBLAS error are both computed\n"
"relative to CPU BLAS result. Else, MAGMA error is computed relative to CUBLAS result.\n\n"
"side = %c, uplo = %c, transA = %c, diag = %c \n", opts.side, opts.uplo, opts.transA, opts.diag );
printf(" M N CUBLAS Gflop/s (ms) CPU Gflop/s (ms) CUBLAS error\n");
printf("==================================================================\n");
for( int i = 0; i < opts.ntest; ++i ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
M = opts.msize[i];
N = opts.nsize[i];
gflops = FLOPS_STRMM(opts.side, M, N) / 1e9;
if ( opts.side == MagmaLeft ) {
lda = M;
Ak = M;
} else {
lda = N;
Ak = N;
}
ldb = M;
ldda = ((lda+31)/32)*32;
lddb = ((ldb+31)/32)*32;
sizeA = lda*Ak;
sizeB = ldb*N;
TESTING_MALLOC( h_A, float, lda*Ak );
TESTING_MALLOC( h_B, float, ldb*N );
TESTING_MALLOC( h_Bcublas, float, ldb*N );
TESTING_DEVALLOC( d_A, float, ldda*Ak );
TESTING_DEVALLOC( d_B, float, lddb*N );
/* Initialize the matrices */
lapackf77_slarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_slarnv( &ione, ISEED, &sizeB, h_B );
/* =====================================================================
Performs operation using CUDA-BLAS
=================================================================== */
magma_ssetmatrix( Ak, Ak, h_A, lda, d_A, ldda );
magma_ssetmatrix( M, N, h_B, ldb, d_B, lddb );
cublas_time = magma_sync_wtime( NULL );
cublasStrmm( opts.side, opts.uplo, opts.transA, opts.diag,
M, N,
alpha, d_A, ldda,
d_B, lddb );
cublas_time = magma_sync_wtime( NULL ) - cublas_time;
cublas_perf = gflops / cublas_time;
magma_sgetmatrix( M, N, d_B, lddb, h_Bcublas, ldb );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
blasf77_strmm( &opts.side, &opts.uplo, &opts.transA, &opts.diag,
&M, &N,
&alpha, h_A, &lda,
h_B, &ldb );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.lapack ) {
// compute relative error for both magma & cublas, relative to lapack,
// |C_magma - C_lapack| / |C_lapack|
Cnorm = lapackf77_slange( "M", &M, &N, h_B, &ldb, work );
blasf77_saxpy( &sizeB, &c_neg_one, h_B, &ione, h_Bcublas, &ione );
cublas_error = lapackf77_slange( "M", &M, &N, h_Bcublas, &ldb, work ) / Cnorm;
printf("%5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %8.2e\n",
(int) M, (int) N,
cublas_perf, 1000.*cublas_time,
cpu_perf, 1000.*cpu_time,
cublas_error );
}
else {
printf("%5d %5d %7.2f (%7.2f) --- ( --- ) --- ---\n",
(int) M, (int) N,
cublas_perf, 1000.*cublas_time);
}
TESTING_FREE( h_A );
TESTING_FREE( h_B );
TESTING_FREE( h_Bcublas );
TESTING_DEVFREE( d_A );
TESTING_DEVFREE( d_B );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
TESTING_FINALIZE();
return 0;
}