int check_factorization(int N, PLASMA_Complex32_t *A1, PLASMA_Complex32_t *A2, int LDA, int uplo)
{
float Anorm, Rnorm;
PLASMA_Complex32_t alpha;
int info_factorization;
int i,j;
float eps;
eps = LAPACKE_slamch_work('e');
PLASMA_Complex32_t *Residual = (PLASMA_Complex32_t *)malloc(N*N*sizeof(PLASMA_Complex32_t));
PLASMA_Complex32_t *L1 = (PLASMA_Complex32_t *)malloc(N*N*sizeof(PLASMA_Complex32_t));
PLASMA_Complex32_t *L2 = (PLASMA_Complex32_t *)malloc(N*N*sizeof(PLASMA_Complex32_t));
float *work = (float *)malloc(N*sizeof(float));
memset((void*)L1, 0, N*N*sizeof(PLASMA_Complex32_t));
memset((void*)L2, 0, N*N*sizeof(PLASMA_Complex32_t));
alpha= 1.0;
LAPACKE_clacpy_work(LAPACK_COL_MAJOR,' ', N, N, A1, LDA, Residual, N);
/* Dealing with L'L or U'U */
if (uplo == PlasmaUpper){
LAPACKE_clacpy_work(LAPACK_COL_MAJOR,'u', N, N, A2, LDA, L1, N);
LAPACKE_clacpy_work(LAPACK_COL_MAJOR,'u', N, N, A2, LDA, L2, N);
cblas_ctrmm(CblasColMajor, CblasLeft, CblasUpper, CblasConjTrans, CblasNonUnit, N, N, CBLAS_SADDR(alpha), L1, N, L2, N);
}
else{
LAPACKE_clacpy_work(LAPACK_COL_MAJOR,'l', N, N, A2, LDA, L1, N);
LAPACKE_clacpy_work(LAPACK_COL_MAJOR,'l', N, N, A2, LDA, L2, N);
cblas_ctrmm(CblasColMajor, CblasRight, CblasLower, CblasConjTrans, CblasNonUnit, N, N, CBLAS_SADDR(alpha), L1, N, L2, N);
}
/* Compute the Residual || A -L'L|| */
for (i = 0; i < N; i++)
for (j = 0; j < N; j++)
Residual[j*N+i] = L2[j*N+i] - Residual[j*N+i];
Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, N, Residual, N, work);
Anorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, N, A1, LDA, work);
printf("============\n");
printf("Checking the Cholesky Factorization \n");
printf("-- ||L'L-A||_oo/(||A||_oo.N.eps) = %e \n",Rnorm/(Anorm*N*eps));
if ( isnan(Rnorm/(Anorm*N*eps)) || (Rnorm/(Anorm*N*eps) > 10.0) ){
printf("-- Factorization is suspicious ! \n");
info_factorization = 1;
}
else{
printf("-- Factorization is CORRECT ! \n");
info_factorization = 0;
}
free(Residual); free(L1); free(L2); free(work);
return info_factorization;
}
static int check_solution(PLASMA_enum uplo, PLASMA_enum trans, int N, int K,
float alpha, PLASMA_Complex32_t *A, int LDA,
float beta, PLASMA_Complex32_t *Cref, PLASMA_Complex32_t *Cplasma, int LDC)
{
int info_solution;
float Anorm, Cinitnorm, Cplasmanorm, Clapacknorm, Rnorm;
float eps;
PLASMA_Complex32_t beta_const;
float result;
float *work = (float *)malloc(max(N, K)* sizeof(float));
beta_const = -1.0;
Anorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm),
(trans == PlasmaNoTrans) ? N : K,
(trans == PlasmaNoTrans) ? K : N, A, LDA, work);
Cinitnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, N, Cref, LDC, work);
Cplasmanorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, N, Cplasma, LDC, work);
cblas_cherk(CblasColMajor, (CBLAS_UPLO)uplo, (CBLAS_TRANSPOSE)trans,
N, K, (alpha), A, LDA, (beta), Cref, LDC);
Clapacknorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, N, Cref, LDC, work);
cblas_caxpy(LDC*N, CBLAS_SADDR(beta_const), Cplasma, 1, Cref, 1);
Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, N, Cref, LDC, work);
eps = LAPACKE_slamch_work('e');
printf("Rnorm %e, Anorm %e, Cinitnorm %e, Cplasmanorm %e, Clapacknorm %e\n",
Rnorm, Anorm, Cinitnorm, Cplasmanorm, Clapacknorm);
result = Rnorm / ((Anorm + Cinitnorm) * N * eps);
printf("============\n");
printf("Checking the norm of the difference against reference CHERK \n");
printf("-- ||Cplasma - Clapack||_oo/((||A||_oo+||C||_oo).N.eps) = %e \n", result);
if ( isinf(Clapacknorm) || isinf(Cplasmanorm) || isnan(result) || isinf(result) || (result > 10.0) ) {
printf("-- The solution is suspicious ! \n");
info_solution = 1;
}
else {
printf("-- The solution is CORRECT ! \n");
info_solution= 0 ;
}
free(work);
return info_solution;
}
int check_solution(int M, int N, int NRHS, PLASMA_Complex32_t *A1, int LDA, PLASMA_Complex32_t *B1, PLASMA_Complex32_t *B2, int LDB)
{
int info_solution;
float Rnorm, Anorm, Xnorm, Bnorm;
PLASMA_Complex32_t alpha, beta;
float *work = (float *)malloc(max(M, N)* sizeof(float));
float eps;
eps = LAPACKE_slamch_work('e');
alpha = 1.0;
beta = -1.0;
Anorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M, N, A1, LDA, work);
Xnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M, NRHS, B2, LDB, work);
Bnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, NRHS, B1, LDB, work);
cblas_cgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, M, NRHS, N, CBLAS_SADDR(alpha), A1, LDA, B2, LDB, CBLAS_SADDR(beta), B1, LDB);
if (M >= N) {
PLASMA_Complex32_t *Residual = (PLASMA_Complex32_t *)malloc(M*NRHS*sizeof(PLASMA_Complex32_t));
memset((void*)Residual, 0, M*NRHS*sizeof(PLASMA_Complex32_t));
cblas_cgemm(CblasColMajor, CblasConjTrans, CblasNoTrans, N, NRHS, M, CBLAS_SADDR(alpha), A1, LDA, B1, LDB, CBLAS_SADDR(beta), Residual, M);
Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M, NRHS, Residual, M, work);
free(Residual);
}
else {
PLASMA_Complex32_t *Residual = (PLASMA_Complex32_t *)malloc(N*NRHS*sizeof(PLASMA_Complex32_t));
memset((void*)Residual, 0, N*NRHS*sizeof(PLASMA_Complex32_t));
cblas_cgemm(CblasColMajor, CblasConjTrans, CblasNoTrans, N, NRHS, M, CBLAS_SADDR(alpha), A1, LDA, B1, LDB, CBLAS_SADDR(beta), Residual, N);
Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, NRHS, Residual, N, work);
free(Residual);
}
printf("============\n");
printf("Checking the Residual of the solution \n");
printf("-- ||Ax-B||_oo/((||A||_oo||x||_oo+||B||)_oo.N.eps) = %e \n",Rnorm/((Anorm*Xnorm+Bnorm)*N*eps));
if (isnan(Rnorm / ((Anorm * Xnorm + Bnorm) * N * eps)) || (Rnorm / ((Anorm * Xnorm + Bnorm) * N * eps) > 10.0) ) {
printf("-- The solution is suspicious ! \n");
info_solution = 1;
}
else {
printf("-- The solution is CORRECT ! \n");
info_solution= 0 ;
}
free(work);
return info_solution;
}
void CORE_clange(int norm, int M, int N,
PLASMA_Complex32_t *A, int LDA,
float *work, float *normA)
{
*normA = LAPACKE_clange_work(
LAPACK_COL_MAJOR,
lapack_const(norm),
M, N, A, LDA, work);
}
int check_solution(int N, int NRHS, PLASMA_Complex32_t *A1, int LDA, PLASMA_Complex32_t *B1, PLASMA_Complex32_t *B2, int LDB )
{
int info_solution;
float Rnorm, Anorm, Xnorm, Bnorm;
PLASMA_Complex32_t alpha, beta;
float *work = (float *)malloc(N*sizeof(float));
float eps;
eps = LAPACKE_slamch_work('e');
/* Initialize A1 and A2 for Symmetric Positive Matrix */
alpha = 1.0;
beta = -1.0;
Xnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, NRHS, B2, LDB, work);
Anorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, N, A1, LDA, work);
Bnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, NRHS, B1, LDB, work);
cblas_cgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, N, NRHS, N, CBLAS_SADDR(alpha), A1, LDA, B2, LDB, CBLAS_SADDR(beta), B1, LDB);
Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), N, NRHS, B1, LDB, work);
printf("============\n");
printf("Checking the Residual of the solution \n");
printf("-- ||Ax-B||_oo/((||A||_oo||x||_oo+||B||_oo).N.eps) = %e \n",Rnorm/((Anorm*Xnorm+Bnorm)*N*eps));
if (Rnorm/((Anorm*Xnorm+Bnorm)*N*eps) > 10.0){
printf("-- The solution is suspicious ! \n");
info_solution = 1;
}
else{
printf("-- The solution is CORRECT ! \n");
info_solution = 0;
}
free(work);
return info_solution;
}
void CORE_clange_quark(Quark *quark)
{
float *normA;
int norm;
int M;
int N;
PLASMA_Complex32_t *A;
int LDA;
float *work;
quark_unpack_args_7(quark, norm, M, N, A, LDA, work, normA);
*normA = LAPACKE_clange_work(
LAPACK_COL_MAJOR,
lapack_const(norm),
M, N, A, LDA, work);
}
static int check_solution(PLASMA_enum side, PLASMA_enum uplo, int M, int N,
PLASMA_Complex32_t alpha, PLASMA_Complex32_t *A, int LDA,
PLASMA_Complex32_t *B, int LDB,
PLASMA_Complex32_t beta, PLASMA_Complex32_t *Cref, PLASMA_Complex32_t *Cplasma, int LDC)
{
int info_solution, NrowA;
float Anorm, Bnorm, Cinitnorm, Cplasmanorm, Clapacknorm, Rnorm;
float eps;
PLASMA_Complex32_t beta_const;
float result;
float *work = (float *)malloc(max(M, N)* sizeof(float));
beta_const = (PLASMA_Complex32_t)-1.0;
NrowA = (side == PlasmaLeft) ? M : N;
Anorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), NrowA, NrowA, A, LDA, work);
Bnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M, N, B, LDB, work);
Cinitnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M, N, Cref, LDC, work);
Cplasmanorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M, N, Cplasma, LDC, work);
cblas_csymm(CblasColMajor, (CBLAS_SIDE)side, (CBLAS_UPLO)uplo, M, N, CBLAS_SADDR(alpha), A, LDA, B, LDB, CBLAS_SADDR(beta), Cref, LDC);
Clapacknorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M, N, Cref, LDC, work);
cblas_caxpy(LDC * N, CBLAS_SADDR(beta_const), Cplasma, 1, Cref, 1);
Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaInfNorm), M, N, Cref, LDC, work);
eps = LAPACKE_slamch_work('e');
printf("Rnorm %e, Anorm %e, Bnorm %e, Cinitnorm %e, Cplasmanorm %e, Clapacknorm %e\n",Rnorm,Anorm,Bnorm,Cinitnorm,Cplasmanorm,Clapacknorm);
result = Rnorm / ((Anorm + Bnorm + Cinitnorm) * N * eps);
printf("============\n");
printf("Checking the norm of the difference against reference CSYMM \n");
printf("-- ||Cplasma - Clapack||_oo/((||A||_oo+||B||_oo+||C||_oo).N.eps) = %e \n", result );
if ( isinf(Clapacknorm) || isinf(Cplasmanorm) || isnan(result) || isinf(result) || (result > 10.0) ) {
printf("-- The solution is suspicious ! \n");
info_solution = 1;
}
else {
printf("-- The solution is CORRECT ! \n");
info_solution= 0 ;
}
free(work);
return info_solution;
}
float LAPACKE_clange( int matrix_order, char norm, lapack_int m,
lapack_int n, const lapack_complex_float* a,
lapack_int lda )
{
lapack_int info = 0;
float res = 0.;
float* work = NULL;
if( matrix_order != LAPACK_COL_MAJOR && matrix_order != LAPACK_ROW_MAJOR ) {
LAPACKE_xerbla( "LAPACKE_clange", -1 );
return -1;
}
#ifndef LAPACK_DISABLE_NAN_CHECK
/* Optionally check input matrices for NaNs */
if( LAPACKE_cge_nancheck( matrix_order, m, n, a, lda ) ) {
return -5;
}
#endif
/* Allocate memory for working array(s) */
if( LAPACKE_lsame( norm, 'e' ) || LAPACKE_lsame( norm, 'f' ) ) {
work = (float*)LAPACKE_malloc( sizeof(float) * MAX(1,m) );
if( work == NULL ) {
info = LAPACK_WORK_MEMORY_ERROR;
goto exit_level_0;
}
}
/* Call middle-level interface */
res = LAPACKE_clange_work( matrix_order, norm, m, n, a, lda, work );
/* Release memory and exit */
if( LAPACKE_lsame( norm, 'e' ) || LAPACKE_lsame( norm, 'f' ) ) {
LAPACKE_free( work );
}
exit_level_0:
if( info == LAPACK_WORK_MEMORY_ERROR ) {
LAPACKE_xerbla( "LAPACKE_clange", info );
}
return res;
}
DLLEXPORT float c_matrix_norm(char norm, lapack_int m, lapack_int n, lapack_complex_float a[], float work[])
{
return LAPACKE_clange_work(CblasColMajor, norm, m, n, a, m, work);
}
static int
RunTest(int *iparam, float *dparam, real_Double_t *t_)
{
plasma_context_t *plasma;
Quark_Task_Flags task_flags = Quark_Task_Flags_Initializer;
PLASMA_Complex32_t *A, *AT, *A2 = NULL;
PLASMA_desc *descA;
real_Double_t t;
int *ipiv, *ipiv2 = NULL;
int i;
int nb = iparam[TIMING_NB];
int m = iparam[TIMING_N];
int n = iparam[TIMING_NRHS];
int check = iparam[TIMING_CHECK];
int lda = m;
PLASMA_sequence *sequence = NULL;
PLASMA_request request = PLASMA_REQUEST_INITIALIZER;
/* Initialize Plasma */
PLASMA_Init( iparam[TIMING_THRDNBR] );
PLASMA_Set(PLASMA_SCHEDULING_MODE, PLASMA_DYNAMIC_SCHEDULING );
PLASMA_Disable(PLASMA_AUTOTUNING);
PLASMA_Set(PLASMA_TILE_SIZE, iparam[TIMING_NB] );
PLASMA_Set(PLASMA_INNER_BLOCK_SIZE, iparam[TIMING_IB] );
/* Allocate Data */
A = (PLASMA_Complex32_t *)malloc(lda*n*sizeof(PLASMA_Complex32_t));
AT = (PLASMA_Complex32_t *)malloc(lda*n*sizeof(PLASMA_Complex32_t));
/* Check if unable to allocate memory */
if ( ( !AT ) || (! A) ) {
printf("Out of Memory \n ");
return -1;
}
/* Initialiaze Data */
LAPACKE_clarnv_work(1, ISEED, lda*n, A);
/* for(i=0; i<n; i++) { */
/* A[i*lda+i] += (float)m; */
/* } */
PLASMA_Desc_Create(&descA, AT, PlasmaComplexFloat, nb, nb, nb*nb, lda, n, 0, 0, m, n);
PLASMA_cLapack_to_Tile((void*)A, lda, descA);
/* Allocate Workspace */
ipiv = (int *)malloc( n*sizeof(int) );
/* Save AT in lapack layout for check */
if ( check ) {
A2 = (PLASMA_Complex32_t *)malloc(lda*n*sizeof(PLASMA_Complex32_t));
ipiv2 = (int *)malloc( n*sizeof(int) );
LAPACKE_clacpy_work(LAPACK_COL_MAJOR,' ', m, n, A, lda, A2, lda);
LAPACKE_cgetrf_work(LAPACK_COL_MAJOR, m, n, A2, lda, ipiv2 );
}
plasma = plasma_context_self();
PLASMA_Sequence_Create(&sequence);
QUARK_Task_Flag_Set(&task_flags, TASK_SEQUENCE, (intptr_t)sequence->quark_sequence);
QUARK_Task_Flag_Set(&task_flags, TASK_THREAD_COUNT, iparam[TIMING_THRDNBR] );
plasma_dynamic_spawn();
CORE_cgetrf_rectil_init();
t = -cWtime();
QUARK_CORE_cgetrf_rectil(plasma->quark, &task_flags,
*descA, AT, descA->mb*descA->nb, ipiv,
sequence, &request,
0, 0,
iparam[TIMING_THRDNBR]);
PLASMA_Sequence_Wait(sequence);
t += cWtime();
*t_ = t;
PLASMA_Sequence_Destroy(sequence);
/* Check the solution */
if ( check )
{
float *work = (float *)malloc(max(m,n)*sizeof(float));
PLASMA_cTile_to_Lapack(descA, (void*)A, lda);
/* Check ipiv */
for(i=0; i<n; i++)
{
if( ipiv[i] != ipiv2[i] ) {
fprintf(stderr, "\nPLASMA (ipiv[%d] = %d, A[%d] = %e) / LAPACK (ipiv[%d] = %d, A[%d] = [%e])\n",
i, ipiv[i], i, crealf(A[ i * lda + i ]),
i, ipiv2[i], i, crealf(A2[ i * lda + i ]));
break;
}
}
dparam[TIMING_ANORM] = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaMaxNorm),
m, n, A, lda, work);
dparam[TIMING_XNORM] = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaMaxNorm),
m, n, A2, lda, work);
dparam[TIMING_BNORM] = 0.0;
CORE_caxpy( m, n, -1.0, A, lda, A2, lda);
dparam[TIMING_RES] = LAPACKE_clange_work(LAPACK_COL_MAJOR, lapack_const(PlasmaMaxNorm),
m, n, A2, lda, work);
free( A2 );
free( ipiv2 );
free( work );
}
/* Deallocate Workspace */
PLASMA_Desc_Destroy(&descA);
free( A );
free( AT );
free( ipiv );
PLASMA_Finalize();
return 0;
}