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/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@generated from testing/testing_blas_z.cpp, normal z -> d, Wed Jan 22 14:40:21 2025
@author Mark Gates
These tests ensure that the MAGMA wrappers around CUBLAS calls are
correct, for example,
magma_dtrmm(...) and cublasDtrmm(...) produce /exactly/ the same results.
It tests all combinations of options (trans, uplo, ...) for each size.
*/
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
// make sure that asserts are enabled
#undef NDEBUG
#include <assert.h>
// includes, project
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"
#define A(i,j) &A[ (i) + (j)*ld ]
#define dA(i,j) &dA[ (i) + (j)*ld ]
#define dB(i,j) &dB[ (i) + (j)*ld ]
#define C2(i,j) &C2[ (i) + (j)*ld ]
#define LU(i,j) &LU[ (i) + (j)*ld ]
int main( int argc, char** argv )
{
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, t1, t2;
double c_neg_one = MAGMA_D_NEG_ONE;
magma_int_t ione = 1;
magma_trans_t trans[] = { MagmaNoTrans, MagmaConjTrans, MagmaTrans };
magma_uplo_t uplo [] = { MagmaLower, MagmaUpper };
magma_diag_t diag [] = { MagmaUnit, MagmaNonUnit };
magma_side_t side [] = { MagmaLeft, MagmaRight };
double *A, *B, *C, *C2, *LU;
magmaDouble_ptr dA, dB, dC1, dC2;
double alpha = MAGMA_D_MAKE( 0.5, 0.1 );
double beta = MAGMA_D_MAKE( 0.7, 0.2 );
double dalpha = 0.6;
double dbeta = 0.8;
double 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_opts opts;
opts.parse_opts( argc, argv );
#ifdef MAGMA_HAVE_CUDA
printf( "Compares magma wrapper function to cublas function; all diffs should be exactly 0.\n\n" );
total_error = 0.;
for( int itest = 0; itest < opts.ntest; ++itest ) {
m = opts.msize[itest];
n = opts.nsize[itest];
k = opts.ksize[itest];
printf("%%========================================================================\n");
printf( "m=%lld, n=%lld, k=%lld\n", (long long) m, (long long) n, (long long) 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 = max( 1, maxn );
size = ld*maxn;
TESTING_CHECK( magma_imalloc_cpu( &piv, maxn ));
TESTING_CHECK( magma_dmalloc_pinned( &A, size ));
TESTING_CHECK( magma_dmalloc_pinned( &B, size ));
TESTING_CHECK( magma_dmalloc_pinned( &C, size ));
TESTING_CHECK( magma_dmalloc_pinned( &C2, size ));
TESTING_CHECK( magma_dmalloc_pinned( &LU, size ));
TESTING_CHECK( magma_dmalloc( &dA, size ));
TESTING_CHECK( magma_dmalloc( &dB, size ));
TESTING_CHECK( magma_dmalloc( &dC1, size ));
TESTING_CHECK( magma_dmalloc( &dC2, size ));
// initialize matrices
size = maxn*maxn;
lapackf77_dlarnv( &ione, ISEED, &size, A );
lapackf77_dlarnv( &ione, ISEED, &size, B );
lapackf77_dlarnv( &ione, ISEED, &size, C );
printf( "%%========= Level 1 BLAS ==========\n" );
// ----- test DSWAP
// swap columns 2 and 3 of dA, then copy to C2 and compare with A
if ( n >= 3 ) {
magma_dsetmatrix( m, n, A, ld, dA, ld, opts.queue );
magma_dsetmatrix( m, n, A, ld, dB, ld, opts.queue );
magma_dswap( m, dA(0,1), 1, dA(0,2), 1, opts.queue );
magma_dswap( m, dB(0,1), 1, dB(0,2), 1, opts.queue );
// check results, storing diff between magma and cuda calls in C2
cublasDaxpy( opts.handle, int(ld*n), &c_neg_one, dA, 1, dB, 1 );
magma_dgetmatrix( m, n, dB, ld, C2, ld, opts.queue );
error = lapackf77_dlange( "F", &m, &k, C2, &ld, work );
total_error += error;
printf( "dswap diff %.2g\n", error );
}
else {
printf( "dswap skipped for n < 3\n" );
}
// ----- test IDAMAX
// get argmax of column of A
magma_dsetmatrix( m, k, A, ld, dA, ld, opts.queue );
error = 0;
for( int j = 0; j < k; ++j ) {
magma_int_t i1 = magma_idamax( m, dA(0,j), 1, opts.queue );
int i2; // not magma_int_t
cublasIdamax( opts.handle, int(m), dA(0,j), 1, &i2 );
// todo need sync here?
assert( i1 == i2 );
error += abs( i1 - i2 );
}
total_error += error;
gflops = (double)m * k / 1e9;
printf( "idamax diff %.2g\n", error );
printf( "\n" );
printf( "%%========= Level 2 BLAS ==========\n" );
// ----- test DGEMV
// 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_dsetmatrix( m, n, A, ld, dA, ld, opts.queue );
magma_dsetvector( maxn, B, 1, dB, 1, opts.queue );
magma_dsetvector( maxn, C, 1, dC1, 1, opts.queue );
magma_dsetvector( maxn, C, 1, dC2, 1, opts.queue );
t1 = magma_sync_wtime( opts.queue );
magma_dgemv( trans[ia], m, n, alpha, dA, ld, dB, 1, beta, dC1, 1, opts.queue );
t1 = magma_sync_wtime( opts.queue ) - t1;
t2 = magma_sync_wtime( opts.queue );
cublasDgemv( opts.handle, cublas_trans_const(trans[ia]),
int(m), int(n), &alpha, dA, int(ld), dB, 1, &beta, dC2, 1 );
t2 = magma_sync_wtime( opts.queue ) - t2;
// check results, storing diff between magma and cuda call in C2
size = (trans[ia] == MagmaNoTrans ? m : n);
cublasDaxpy( opts.handle, int(size), &c_neg_one, dC1, 1, dC2, 1 );
magma_dgetvector( size, dC2, 1, C2, 1, opts.queue );
error = lapackf77_dlange( "F", &size, &ione, C2, &ld, work );
total_error += error;
gflops = FLOPS_DGEMV( m, n ) / 1e9;
printf( "dgemv( %c ) diff %.2g, Gflop/s %7.2f, %7.2f\n",
lapacke_trans_const(trans[ia]), error, gflops/t1, gflops/t2 );
}
printf( "\n" );
// ----- test DSYMV
// 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_dsetmatrix( m, m, A, ld, dA, ld, opts.queue );
magma_dsetvector( m, B, 1, dB, 1, opts.queue );
magma_dsetvector( m, C, 1, dC1, 1, opts.queue );
magma_dsetvector( m, C, 1, dC2, 1, opts.queue );
t1 = magma_sync_wtime( opts.queue );
magma_dsymv( uplo[iu], m, alpha, dA, ld, dB, 1, beta, dC1, 1, opts.queue );
t1 = magma_sync_wtime( opts.queue ) - t1;
t2 = magma_sync_wtime( opts.queue );
cublasDsymv( opts.handle, cublas_uplo_const(uplo[iu]),
int(m), &alpha, dA, int(ld), dB, 1, &beta, dC2, 1 );
t2 = magma_sync_wtime( opts.queue ) - t2;
// check results, storing diff between magma and cuda call in C2
cublasDaxpy( opts.handle, int(m), &c_neg_one, dC1, 1, dC2, 1 );
magma_dgetvector( m, dC2, 1, C2, 1, opts.queue );
error = lapackf77_dlange( "F", &m, &ione, C2, &ld, work );
total_error += error;
gflops = FLOPS_DSYMV( m ) / 1e9;
printf( "dsymv( %c ) diff %.2g, Gflop/s %7.2f, %7.2f\n",
lapacke_uplo_const(uplo[iu]), error, gflops/t1, gflops/t2 );
}
printf( "\n" );
// ----- test DTRSV
// 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_dlacpy( "Full", &maxn, &maxn, A, &ld, LU, &ld );
lapackf77_dgetrf( &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_dsetmatrix( m, m, LU, ld, dA, ld, opts.queue );
magma_dsetvector( m, C, 1, dC1, 1, opts.queue );
magma_dsetvector( m, C, 1, dC2, 1, opts.queue );
t1 = magma_sync_wtime( opts.queue );
magma_dtrsv( uplo[iu], trans[it], diag[id], m, dA, ld, dC1, 1, opts.queue );
t1 = magma_sync_wtime( opts.queue ) - t1;
t2 = magma_sync_wtime( opts.queue );
cublasDtrsv( opts.handle, cublas_uplo_const(uplo[iu]), cublas_trans_const(trans[it]),
cublas_diag_const(diag[id]), int(m), dA, int(ld), dC2, 1 );
t2 = magma_sync_wtime( opts.queue ) - t2;
// check results, storing diff between magma and cuda call in C2
cublasDaxpy( opts.handle, int(m), &c_neg_one, dC1, 1, dC2, 1 );
magma_dgetvector( m, dC2, 1, C2, 1, opts.queue );
error = lapackf77_dlange( "F", &m, &ione, C2, &ld, work );
total_error += error;
gflops = FLOPS_DTRSM( MagmaLeft, m, 1 ) / 1e9;
printf( "dtrsv( %c, %c, %c ) diff %.2g, Gflop/s %7.2f, %7.2f\n",
lapacke_uplo_const(uplo[iu]), lapacke_trans_const(trans[it]), lapacke_diag_const(diag[id]),
error, gflops/t1, gflops/t2 );
}}}
printf( "\n" );
printf( "%%========= Level 3 BLAS ==========\n" );
// ----- test DGEMM
// 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] == MagmaNoTrans);
bool ntb = (trans[ib] == MagmaNoTrans);
magma_dsetmatrix( (nta ? m : k), (nta ? m : k), A, ld, dA, ld, opts.queue );
magma_dsetmatrix( (ntb ? k : n), (ntb ? n : k), B, ld, dB, ld, opts.queue );
magma_dsetmatrix( m, n, C, ld, dC1, ld, opts.queue );
magma_dsetmatrix( m, n, C, ld, dC2, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue );
magma_dgemm( trans[ia], trans[ib], m, n, k, alpha, dA, ld, dB, ld, beta, dC1, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue ) - t1;
t2 = magma_sync_wtime( opts.queue );
cublasDgemm( opts.handle, cublas_trans_const(trans[ia]), cublas_trans_const(trans[ib]),
int(m), int(n), int(k), &alpha, dA, int(ld), dB, int(ld), &beta, dC2, int(ld) );
t2 = magma_sync_wtime( opts.queue ) - t2;
// check results, storing diff between magma and cuda call in C2
cublasDaxpy( opts.handle, int(ld*n), &c_neg_one, dC1, 1, dC2, 1 );
magma_dgetmatrix( m, n, dC2, ld, C2, ld, opts.queue );
error = lapackf77_dlange( "F", &m, &n, C2, &ld, work );
total_error += error;
gflops = FLOPS_DGEMM( m, n, k ) / 1e9;
printf( "dgemm( %c, %c ) diff %.2g, Gflop/s %7.2f, %7.2f\n",
lapacke_trans_const(trans[ia]), lapacke_trans_const(trans[ib]),
error, gflops/t1, gflops/t2 );
}}
printf( "\n" );
// ----- test DSYMM
// 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_dsetmatrix( m, m, A, ld, dA, ld, opts.queue );
magma_dsetmatrix( m, n, B, ld, dB, ld, opts.queue );
magma_dsetmatrix( m, n, C, ld, dC1, ld, opts.queue );
magma_dsetmatrix( m, n, C, ld, dC2, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue );
magma_dsymm( side[is], uplo[iu], m, n, alpha, dA, ld, dB, ld, beta, dC1, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue ) - t1;
t2 = magma_sync_wtime( opts.queue );
cublasDsymm( opts.handle, cublas_side_const(side[is]), cublas_uplo_const(uplo[iu]),
int(m), int(n), &alpha, dA, int(ld), dB, int(ld), &beta, dC2, int(ld) );
t2 = magma_sync_wtime( opts.queue ) - t2;
// check results, storing diff between magma and cuda call in C2
cublasDaxpy( opts.handle, int(ld*n), &c_neg_one, dC1, 1, dC2, 1 );
magma_dgetmatrix( m, n, dC2, ld, C2, ld, opts.queue );
error = lapackf77_dlange( "F", &m, &n, C2, &ld, work );
total_error += error;
gflops = FLOPS_DSYMM( side[is], m, n ) / 1e9;
printf( "dsymm( %c, %c ) diff %.2g, Gflop/s %7.2f, %7.2f\n",
lapacke_side_const(side[is]), lapacke_uplo_const(uplo[iu]),
error, gflops/t1, gflops/t2 );
}}
printf( "\n" );
// ----- test DSYRK
// 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_dsetmatrix( n, k, A, ld, dA, ld, opts.queue );
magma_dsetmatrix( n, n, C, ld, dC1, ld, opts.queue );
magma_dsetmatrix( n, n, C, ld, dC2, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue );
magma_dsyrk( uplo[iu], trans[it], n, k, dalpha, dA, ld, dbeta, dC1, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue ) - t1;
t2 = magma_sync_wtime( opts.queue );
cublasDsyrk( opts.handle, cublas_uplo_const(uplo[iu]), cublas_trans_const(trans[it]),
int(n), int(k), &dalpha, dA, int(ld), &dbeta, dC2, int(ld) );
t2 = magma_sync_wtime( opts.queue ) - t2;
// check results, storing diff between magma and cuda call in C2
cublasDaxpy( opts.handle, int(ld*n), &c_neg_one, dC1, 1, dC2, 1 );
magma_dgetmatrix( n, n, dC2, ld, C2, ld, opts.queue );
error = lapackf77_dlange( "F", &n, &n, C2, &ld, work );
total_error += error;
gflops = FLOPS_DSYRK( k, n ) / 1e9;
printf( "dsyrk( %c, %c ) diff %.2g, Gflop/s %7.2f, %7.2f\n",
lapacke_uplo_const(uplo[iu]), lapacke_trans_const(trans[it]),
error, gflops/t1, gflops/t2 );
}}
printf( "\n" );
// ----- test DSYR2K
// 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] == MagmaNoTrans);
magma_dsetmatrix( (nt ? n : k), (nt ? n : k), A, ld, dA, ld, opts.queue );
magma_dsetmatrix( n, n, C, ld, dC1, ld, opts.queue );
magma_dsetmatrix( n, n, C, ld, dC2, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue );
magma_dsyr2k( uplo[iu], trans[it], n, k, alpha, dA, ld, dB, ld, dbeta, dC1, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue ) - t1;
t2 = magma_sync_wtime( opts.queue );
cublasDsyr2k( opts.handle, cublas_uplo_const(uplo[iu]), cublas_trans_const(trans[it]),
int(n), int(k), &alpha, dA, int(ld), dB, int(ld), &dbeta, dC2, int(ld) );
t2 = magma_sync_wtime( opts.queue ) - t2;
// check results, storing diff between magma and cuda call in C2
cublasDaxpy( opts.handle, int(ld*n), &c_neg_one, dC1, 1, dC2, 1 );
magma_dgetmatrix( n, n, dC2, ld, C2, ld, opts.queue );
error = lapackf77_dlange( "F", &n, &n, C2, &ld, work );
total_error += error;
gflops = FLOPS_DSYR2K( k, n ) / 1e9;
printf( "dsyr2k( %c, %c ) diff %.2g, Gflop/s %7.2f, %7.2f\n",
lapacke_uplo_const(uplo[iu]), lapacke_trans_const(trans[it]),
error, gflops/t1, gflops/t2 );
}}
printf( "\n" );
// ----- test DTRMM
// 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] == MagmaLeft);
magma_dsetmatrix( (left ? m : n), (left ? m : n), A, ld, dA, ld, opts.queue );
magma_dsetmatrix( m, n, C, ld, dC1, ld, opts.queue );
magma_dsetmatrix( m, n, C, ld, dC2, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue );
magma_dtrmm( side[is], uplo[iu], trans[it], diag[id], m, n, alpha, dA, ld, dC1, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue ) - t1;
// note cublas does trmm out-of-place (i.e., adds output matrix C),
// but allows C=B to do in-place.
t2 = magma_sync_wtime( opts.queue );
cublasDtrmm( opts.handle, cublas_side_const(side[is]), cublas_uplo_const(uplo[iu]),
cublas_trans_const(trans[it]), cublas_diag_const(diag[id]),
int(m), int(n), &alpha, dA, int(ld), dC2, int(ld), dC2, int(ld) );
t2 = magma_sync_wtime( opts.queue ) - t2;
// check results, storing diff between magma and cuda call in C2
cublasDaxpy( opts.handle, int(ld*n), &c_neg_one, dC1, 1, dC2, 1 );
magma_dgetmatrix( m, n, dC2, ld, C2, ld, opts.queue );
error = lapackf77_dlange( "F", &n, &n, C2, &ld, work );
total_error += error;
gflops = FLOPS_DTRMM( side[is], m, n ) / 1e9;
printf( "dtrmm( %c, %c ) diff %.2g, Gflop/s %7.2f, %7.2f\n",
lapacke_uplo_const(uplo[iu]), lapacke_trans_const(trans[it]),
error, gflops/t1, gflops/t2 );
}}}}
printf( "\n" );
// ----- test DTRSM
// 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] == MagmaLeft);
magma_dsetmatrix( (left ? m : n), (left ? m : n), LU, ld, dA, ld, opts.queue );
magma_dsetmatrix( m, n, C, ld, dC1, ld, opts.queue );
magma_dsetmatrix( m, n, C, ld, dC2, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue );
magma_dtrsm( side[is], uplo[iu], trans[it], diag[id], m, n, alpha, dA, ld, dC1, ld, opts.queue );
t1 = magma_sync_wtime( opts.queue ) - t1;
t2 = magma_sync_wtime( opts.queue );
cublasDtrsm( opts.handle, cublas_side_const(side[is]), cublas_uplo_const(uplo[iu]),
cublas_trans_const(trans[it]), cublas_diag_const(diag[id]),
int(m), int(n), &alpha, dA, int(ld), dC2, int(ld) );
t2 = magma_sync_wtime( opts.queue ) - t2;
// check results, storing diff between magma and cuda call in C2
cublasDaxpy( opts.handle, int(ld*n), &c_neg_one, dC1, 1, dC2, 1 );
magma_dgetmatrix( m, n, dC2, ld, C2, ld, opts.queue );
error = lapackf77_dlange( "F", &n, &n, C2, &ld, work );
total_error += error;
gflops = FLOPS_DTRSM( side[is], m, n ) / 1e9;
printf( "dtrsm( %c, %c ) diff %.2g, Gflop/s %7.2f, %7.2f\n",
lapacke_uplo_const(uplo[iu]), lapacke_trans_const(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 );
fflush( stdout );
}
#else
printf("Not checking for exact error==0.0, since functions may not be direct wrappers on HIP\n");
#endif
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" );
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
int status = (total_error != 0.);
return status;
}
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