void F77_cherk(int *layout, char *uplow, char *transp, int *n, int *k,
float *alpha, CBLAS_TEST_COMPLEX *a, int *lda,
float *beta, CBLAS_TEST_COMPLEX *c, int *ldc ) {
int i,j,LDA,LDC;
CBLAS_TEST_COMPLEX *A, *C;
CBLAS_UPLO uplo;
CBLAS_TRANSPOSE trans;
get_uplo_type(uplow,&uplo);
get_transpose_type(transp,&trans);
if (*layout == TEST_ROW_MJR) {
if (trans == CblasNoTrans) {
LDA = *k+1;
A=(CBLAS_TEST_COMPLEX* )malloc((*n)*LDA*sizeof(CBLAS_TEST_COMPLEX ) );
for( i=0; i<*n; i++ )
for( j=0; j<*k; j++ ) {
A[i*LDA+j].real=a[j*(*lda)+i].real;
A[i*LDA+j].imag=a[j*(*lda)+i].imag;
}
}
else{
LDA = *n+1;
A=(CBLAS_TEST_COMPLEX* )malloc((*k)*LDA*sizeof(CBLAS_TEST_COMPLEX ) );
for( i=0; i<*k; i++ )
for( j=0; j<*n; j++ ) {
A[i*LDA+j].real=a[j*(*lda)+i].real;
A[i*LDA+j].imag=a[j*(*lda)+i].imag;
}
}
LDC = *n+1;
C=(CBLAS_TEST_COMPLEX* )malloc((*n)*LDC*sizeof(CBLAS_TEST_COMPLEX ) );
for( i=0; i<*n; i++ )
for( j=0; j<*n; j++ ) {
C[i*LDC+j].real=c[j*(*ldc)+i].real;
C[i*LDC+j].imag=c[j*(*ldc)+i].imag;
}
cblas_cherk(CblasRowMajor, uplo, trans, *n, *k, *alpha, A, LDA, *beta,
C, LDC );
for( j=0; j<*n; j++ )
for( i=0; i<*n; i++ ) {
c[j*(*ldc)+i].real=C[i*LDC+j].real;
c[j*(*ldc)+i].imag=C[i*LDC+j].imag;
}
free(A);
free(C);
}
else if (*layout == TEST_COL_MJR)
cblas_cherk(CblasColMajor, uplo, trans, *n, *k, *alpha, a, *lda, *beta,
c, *ldc );
else
cblas_cherk(UNDEFINED, uplo, trans, *n, *k, *alpha, a, *lda, *beta,
c, *ldc );
}
inline void herk( const Order order, const UpLo uplo, const Trans trans,
const int n, const int k, const float alpha,
const std::complex<float>* a, const int lda, const float beta,
std::complex<float>* c, const int ldc ) {
cblas_cherk( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, beta, c, ldc );
}
static int check_orthogonality(int M, int N, int LDQ, PLASMA_Complex32_t *Q, float eps)
{
float alpha, beta;
float normQ;
int info_ortho;
int i;
int minMN = min(M, N);
float *work = (float *)malloc(minMN*sizeof(float));
alpha = 1.0;
beta = -1.0;
/* Build the idendity matrix USE DLASET?*/
PLASMA_Complex32_t *Id = (PLASMA_Complex32_t *) malloc(minMN*minMN*sizeof(PLASMA_Complex32_t));
memset((void*)Id, 0, minMN*minMN*sizeof(PLASMA_Complex32_t));
for (i = 0; i < minMN; i++)
Id[i*minMN+i] = (PLASMA_Complex32_t)1.0;
/* Perform Id - Q'Q */
if (M >= N)
cblas_cherk(CblasColMajor, CblasUpper, CblasConjTrans, N, M, alpha, Q, LDQ, beta, Id, N);
else
cblas_cherk(CblasColMajor, CblasUpper, CblasNoTrans, M, N, alpha, Q, LDQ, beta, Id, M);
BLAS_csy_norm( blas_colmajor, blas_inf_norm, blas_upper, minMN, Id, minMN, &normQ );
printf("============\n");
printf("Checking the orthogonality of Q \n");
printf("||Id-Q'*Q||_oo / (N*eps) = %e \n", normQ/(minMN*eps));
if ( isnan(normQ / (minMN * eps)) || isinf(normQ / (minMN * eps)) || (normQ / (minMN * eps) > 60.0) ) {
printf("-- Orthogonality is suspicious ! \n");
info_ortho=1;
}
else {
printf("-- Orthogonality is CORRECT ! \n");
info_ortho=0;
}
free(work); free(Id);
return info_ortho;
}
inline
void herk (CBLAS_ORDER const Order, CBLAS_UPLO const Uplo,
CBLAS_TRANSPOSE const Trans, int const N, int const K,
float alpha, traits::complex_f const* A, int const lda,
float beta, traits::complex_f* C, int const ldc)
{
cblas_cherk (Order, Uplo, Trans, N, K,
alpha, static_cast<void const*> (A), lda,
beta, static_cast<void*> (C), ldc);
}
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;
}
void wrapper_cblas_cherk(const enum CBLAS_ORDER Order, const enum CBLAS_UPLO Uplo, const enum CBLAS_TRANSPOSE Trans,
const int N, const int K, const float alpha,
const void *A, const int lda, const float beta, void *C, const int ldc)
{
cblas_cherk(Order, Uplo, Trans, N, K, alpha, A, lda, beta, C, ldc);
}
void
test_herk (void) {
const double flteps = 1e-4, dbleps = 1e-6;
{
int order = 101;
int uplo = 121;
int trans = 111;
int N = 2;
int K = 1;
float alpha = 0.0f;
float beta = 0.1f;
float A[] = { -0.617f, 0.179f, -0.626f, 0.334f };
int lda = 1;
float C[] = { 0.346f, -0.903f, 0.022f, -0.839f, -0.715f, 0.049f, -0.338f, 0.149f };
int ldc = 2;
float C_expected[] = { 0.0346f, 0.0f, 0.0022f, -0.0839f, -0.715f, 0.049f, -0.0338f, 0.0f };
cblas_cherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], flteps, "cherk(case 1598) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], flteps, "cherk(case 1598) imag");
};
};
};
{
int order = 102;
int uplo = 121;
int trans = 111;
int N = 2;
int K = 1;
float alpha = 0.0f;
float beta = 0.1f;
float A[] = { -0.356f, -0.308f, 0.493f, -0.351f };
int lda = 2;
float C[] = { -0.898f, -0.905f, 0.002f, -0.219f, 0.881f, 0.879f, 0.275f, -0.351f };
int ldc = 2;
float C_expected[] = { -0.0898f, 0.0f, 0.002f, -0.219f, 0.0881f, 0.0879f, 0.0275f, 0.0f };
cblas_cherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], flteps, "cherk(case 1599) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], flteps, "cherk(case 1599) imag");
};
};
};
{
int order = 101;
int uplo = 121;
int trans = 113;
int N = 2;
int K = 1;
float alpha = 0.1f;
float beta = 1.0f;
float A[] = { -0.103f, -0.951f, -0.601f, -0.041f };
int lda = 2;
float C[] = { -0.918f, -0.018f, 0.991f, -0.789f, -0.698f, -0.067f, 0.956f, -0.599f };
int ldc = 2;
float C_expected[] = { -0.826499f, 0.0f, 1.00109f, -0.845733f, -0.698f, -0.067f, 0.992288f, 0.0f };
cblas_cherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], flteps, "cherk(case 1600) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], flteps, "cherk(case 1600) imag");
};
};
};
{
int order = 102;
int uplo = 121;
int trans = 113;
int N = 2;
int K = 1;
float alpha = 0.1f;
float beta = 1.0f;
float A[] = { -0.237f, 0.925f, -0.904f, -0.091f };
int lda = 1;
float C[] = { -0.572f, 0.915f, 0.398f, 0.222f, 0.016f, 0.288f, -0.078f, -0.507f };
int ldc = 2;
float C_expected[] = { -0.480821f, 0.0f, 0.398f, 0.222f, 0.0290073f, 0.373777f, 0.0045497f, 0.0f };
cblas_cherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], flteps, "cherk(case 1601) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], flteps, "cherk(case 1601) imag");
};
};
};
{
int order = 101;
int uplo = 122;
int trans = 111;
int N = 2;
int K = 1;
float alpha = -0.3f;
float beta = 0.0f;
float A[] = { 0.963f, -0.23f, -0.435f, 0.289f };
int lda = 1;
float C[] = { 0.282f, -0.272f, -0.516f, -0.594f, -0.001f, 0.155f, -0.39f, -0.354f };
int ldc = 2;
float C_expected[] = { -0.294081f, 0.0f, -0.516f, -0.594f, 0.145613f, -0.0534771f, -0.0818238f, 0.0f };
cblas_cherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], flteps, "cherk(case 1602) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], flteps, "cherk(case 1602) imag");
};
};
};
{
int order = 102;
int uplo = 122;
int trans = 111;
int N = 2;
int K = 1;
float alpha = -0.3f;
float beta = 0.0f;
float A[] = { 0.674f, 0.1f, -0.098f, 0.552f };
int lda = 2;
float C[] = { 0.089f, -0.523f, -0.551f, 0.618f, 0.67f, 0.247f, 0.975f, -0.714f };
int ldc = 2;
float C_expected[] = { -0.139283f, 0.0f, 0.0032556f, -0.114554f, 0.67f, 0.247f, -0.0942924f, 0.0f };
cblas_cherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], flteps, "cherk(case 1603) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], flteps, "cherk(case 1603) imag");
};
};
};
{
int order = 101;
int uplo = 122;
int trans = 113;
int N = 2;
int K = 1;
float alpha = 1.0f;
float beta = 0.1f;
float A[] = { 0.033f, -0.864f, 0.168f, 0.524f };
int lda = 2;
float C[] = { 0.788f, 0.016f, -0.436f, 0.749f, -0.89f, -0.87f, 0.421f, -0.203f };
int ldc = 2;
float C_expected[] = { 0.826385f, 0.0f, -0.436f, 0.749f, -0.536192f, -0.249444f, 0.3449f, 0.0f };
cblas_cherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], flteps, "cherk(case 1604) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], flteps, "cherk(case 1604) imag");
};
};
};
{
int order = 102;
int uplo = 122;
int trans = 113;
int N = 2;
int K = 1;
float alpha = 1.0f;
float beta = 0.1f;
float A[] = { 0.957f, -0.079f, 0.935f, 0.232f };
int lda = 1;
float C[] = { -0.744f, -0.061f, 0.195f, -0.574f, 0.551f, 0.478f, -0.337f, 0.1f };
int ldc = 2;
float C_expected[] = { 0.84769f, 0.0f, 0.895967f, -0.353289f, 0.551f, 0.478f, 0.894349f, 0.0f };
cblas_cherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], flteps, "cherk(case 1605) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], flteps, "cherk(case 1605) imag");
};
};
};
{
int order = 101;
int uplo = 121;
int trans = 111;
int N = 2;
int K = 1;
double alpha = 1;
double beta = 1;
double A[] = { 0.934, 0.664, 0.426, 0.263 };
int lda = 1;
double C[] = { 0.251, -0.97, 0.76, -0.349, 0.152, -0.899, -0.17, 0.707 };
int ldc = 2;
double C_expected[] = { 1.564252, 0.0, 1.332516, -0.311778, 0.152, -0.899, 0.080645, 0.0 };
cblas_zherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], dbleps, "zherk(case 1606) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], dbleps, "zherk(case 1606) imag");
};
};
};
{
int order = 102;
int uplo = 121;
int trans = 111;
int N = 2;
int K = 1;
double alpha = 1;
double beta = 1;
double A[] = { 0.16, 0.464, -0.623, 0.776 };
int lda = 2;
double C[] = { 0.771, -0.449, 0.776, 0.112, -0.134, 0.317, 0.547, -0.551 };
int ldc = 2;
double C_expected[] = { 1.011896, 0.0, 0.776, 0.112, 0.126384, -0.096232, 1.537305, 0.0 };
cblas_zherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], dbleps, "zherk(case 1607) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], dbleps, "zherk(case 1607) imag");
};
};
};
{
int order = 101;
int uplo = 121;
int trans = 113;
int N = 2;
int K = 1;
double alpha = 0.1;
double beta = 1;
double A[] = { 0.787, 0.057, -0.49, 0.47 };
int lda = 2;
double C[] = { -0.758, 0.912, 0.992, -0.356, 0.584, 0.806, 0.965, 0.674 };
int ldc = 2;
double C_expected[] = { -0.6957382, 0.0, 0.956116, -0.316218, 0.584, 0.806, 1.0111, 0.0 };
cblas_zherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], dbleps, "zherk(case 1608) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], dbleps, "zherk(case 1608) imag");
};
};
};
{
int order = 102;
int uplo = 121;
int trans = 113;
int N = 2;
int K = 1;
double alpha = 0.1;
double beta = 1;
double A[] = { 0.961, -0.384, 0.165, 0.395 };
int lda = 1;
double C[] = { -0.186, 0.404, -0.873, 0.09, -0.451, -0.972, -0.203, -0.304 };
int ldc = 2;
double C_expected[] = { -0.0789023, 0.0, -0.873, 0.09, -0.4503115, -0.9277045, -0.184675, 0.0 };
cblas_zherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], dbleps, "zherk(case 1609) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], dbleps, "zherk(case 1609) imag");
};
};
};
{
int order = 101;
int uplo = 122;
int trans = 111;
int N = 2;
int K = 1;
double alpha = 0;
double beta = -0.3;
double A[] = { 0.04, 0.608, 0.21, -0.44 };
int lda = 1;
double C[] = { 0.285, -0.943, 0.581, -0.56, 0.112, 0.529, 0.16, -0.913 };
int ldc = 2;
double C_expected[] = { -0.0855, 0.0, 0.581, -0.56, -0.0336, -0.1587, -0.048, 0.0 };
cblas_zherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], dbleps, "zherk(case 1610) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], dbleps, "zherk(case 1610) imag");
};
};
};
{
int order = 102;
int uplo = 122;
int trans = 111;
int N = 2;
int K = 1;
double alpha = 0;
double beta = -0.3;
double A[] = { -0.984, -0.398, -0.379, 0.919 };
int lda = 2;
double C[] = { -0.44, -0.087, 0.156, -0.945, -0.943, -0.355, 0.577, 0.053 };
int ldc = 2;
double C_expected[] = { 0.132, 0.0, -0.0468, 0.2835, -0.943, -0.355, -0.1731, 0.0 };
cblas_zherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], dbleps, "zherk(case 1611) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], dbleps, "zherk(case 1611) imag");
};
};
};
{
int order = 101;
int uplo = 122;
int trans = 113;
int N = 2;
int K = 1;
double alpha = 1;
double beta = -1;
double A[] = { 0.269, -0.428, -0.029, 0.964 };
int lda = 2;
double C[] = { 0.473, -0.932, -0.689, -0.072, -0.952, -0.862, 0.001, 0.282 };
int ldc = 2;
double C_expected[] = { -0.217455, 0.0, -0.689, -0.072, 0.531607, 0.615096, 0.929137, 0.0 };
cblas_zherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], dbleps, "zherk(case 1612) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], dbleps, "zherk(case 1612) imag");
};
};
};
{
int order = 102;
int uplo = 122;
int trans = 113;
int N = 2;
int K = 1;
double alpha = 1;
double beta = -1;
double A[] = { -0.303, -0.037, -0.411, -0.243 };
int lda = 1;
double C[] = { 0.652, -0.227, -0.849, 0.87, -0.051, -0.535, 0.418, -0.681 };
int ldc = 2;
double C_expected[] = { -0.558822, 0.0, 0.982524, -0.928422, -0.051, -0.535, -0.19003, 0.0 };
cblas_zherk(order, uplo, trans, N, K, alpha, A, lda, beta, C, ldc);
{
int i;
for (i = 0; i < 4; i++) {
gsl_test_rel(C[2*i], C_expected[2*i], dbleps, "zherk(case 1613) real");
gsl_test_rel(C[2*i+1], C_expected[2*i+1], dbleps, "zherk(case 1613) imag");
};
};
};
}