inline void hbmv( const Order order, const UpLo uplo, const int n,
const int k, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* x, const int incx,
const std::complex<double> beta, std::complex<double>* y,
const int incy ) {
cblas_zhbmv( cblas_option< Order >::value, cblas_option< UpLo >::value, n,
k, &alpha, a, lda, x, incx, &beta, y, incy );
}
void
test_hbmv (void) {
const double flteps = 1e-4, dbleps = 1e-6;
{
int order = 101;
int uplo = 121;
float alpha[2] = {0.0f, 1.0f};
float beta[2] = {-0.3f, 0.1f};
int N = 3;
int k = 1;
int lda = 3;
float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f };
float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f };
int incX = -1;
float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f };
int incY = -1;
float y_expected[] = { 0.02698f, 0.521724f, -0.379354f, 1.27743f, -0.25427f, -0.043268f };
cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1086) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1086) imag");
};
};
};
{
int order = 101;
int uplo = 121;
float alpha[2] = {0.0f, 1.0f};
float beta[2] = {-0.3f, 0.1f};
int N = 3;
int k = 1;
int lda = 3;
float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f };
float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f };
int incX = -1;
float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f };
int incY = -1;
float y_expected[] = { 0.02698f, 0.521724f, -0.379354f, 1.27743f, -0.25427f, -0.043268f };
cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1087) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1087) imag");
};
};
};
{
int order = 101;
int uplo = 122;
float alpha[2] = {0.0f, 1.0f};
float beta[2] = {-0.3f, 0.1f};
int N = 3;
int k = 1;
int lda = 3;
float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f };
float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f };
int incX = -1;
float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f };
int incY = -1;
float y_expected[] = { -0.06422f, -0.016288f, 0.734206f, 0.108366f, -0.411982f, 0.347068f };
cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1088) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1088) imag");
};
};
};
{
int order = 101;
int uplo = 122;
float alpha[2] = {0.0f, 1.0f};
float beta[2] = {-0.3f, 0.1f};
int N = 3;
int k = 1;
int lda = 3;
float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f };
float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f };
int incX = -1;
float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f };
int incY = -1;
float y_expected[] = { -0.06422f, -0.016288f, 0.734206f, 0.108366f, -0.411982f, 0.347068f };
cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1089) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1089) imag");
};
};
};
{
int order = 102;
int uplo = 121;
float alpha[2] = {0.0f, 1.0f};
float beta[2] = {-0.3f, 0.1f};
int N = 3;
int k = 1;
int lda = 3;
float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f };
float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f };
int incX = -1;
float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f };
int incY = -1;
float y_expected[] = { 0.19354f, 0.056192f, 0.72585f, 0.42717f, -0.2047f, 0.405354f };
cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1090) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1090) imag");
};
};
};
{
int order = 102;
int uplo = 121;
float alpha[2] = {0.0f, 1.0f};
float beta[2] = {-0.3f, 0.1f};
int N = 3;
int k = 1;
int lda = 3;
float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f };
float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f };
int incX = -1;
float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f };
int incY = -1;
float y_expected[] = { 0.19354f, 0.056192f, 0.72585f, 0.42717f, -0.2047f, 0.405354f };
cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1091) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1091) imag");
};
};
};
{
int order = 102;
int uplo = 122;
float alpha[2] = {0.0f, 1.0f};
float beta[2] = {-0.3f, 0.1f};
int N = 3;
int k = 1;
int lda = 3;
float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f };
float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f };
int incX = -1;
float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f };
int incY = -1;
float y_expected[] = { -0.151304f, 0.471592f, -0.507714f, -0.304446f, -1.16395f, -0.299062f };
cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1092) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1092) imag");
};
};
};
{
int order = 102;
int uplo = 122;
float alpha[2] = {0.0f, 1.0f};
float beta[2] = {-0.3f, 0.1f};
int N = 3;
int k = 1;
int lda = 3;
float A[] = { 0.937f, -0.035f, 0.339f, 0.847f, 0.022f, 0.153f, -0.785f, 0.193f, -0.731f, -0.166f, -0.243f, -0.319f, 0.173f, -0.24f, 0.079f, -0.058f, 0.124f, 0.445f };
float X[] = { -0.093f, -0.103f, -0.537f, -0.151f, 0.094f, 0.954f };
int incX = -1;
float Y[] = { 0.029f, -0.391f, -0.256f, 0.031f, -0.478f, 0.098f };
int incY = -1;
float y_expected[] = { -0.151304f, 0.471592f, -0.507714f, -0.304446f, -1.16395f, -0.299062f };
cblas_chbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], flteps, "chbmv(case 1093) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], flteps, "chbmv(case 1093) imag");
};
};
};
{
int order = 101;
int uplo = 121;
double alpha[2] = {1, 0};
double beta[2] = {1, 0};
int N = 3;
int k = 1;
int lda = 3;
double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 };
double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 };
int incX = -1;
double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 };
int incY = -1;
double y_expected[] = { -0.902712, -0.524419, -0.307439, -2.167713, 1.059385, 1.104445 };
cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1094) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1094) imag");
};
};
};
{
int order = 101;
int uplo = 121;
double alpha[2] = {1, 0};
double beta[2] = {1, 0};
int N = 3;
int k = 1;
int lda = 3;
double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 };
double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 };
int incX = -1;
double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 };
int incY = -1;
double y_expected[] = { -0.902712, -0.524419, -0.307439, -2.167713, 1.059385, 1.104445 };
cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1095) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1095) imag");
};
};
};
{
int order = 101;
int uplo = 122;
double alpha[2] = {1, 0};
double beta[2] = {1, 0};
int N = 3;
int k = 1;
int lda = 3;
double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 };
double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 };
int incX = -1;
double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 };
int incY = -1;
double y_expected[] = { -0.960834, -0.558818, 1.042598, -1.102864, 0.507945, 0.11149 };
cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1096) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1096) imag");
};
};
};
{
int order = 101;
int uplo = 122;
double alpha[2] = {1, 0};
double beta[2] = {1, 0};
int N = 3;
int k = 1;
int lda = 3;
double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 };
double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 };
int incX = -1;
double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 };
int incY = -1;
double y_expected[] = { -0.960834, -0.558818, 1.042598, -1.102864, 0.507945, 0.11149 };
cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1097) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1097) imag");
};
};
};
{
int order = 102;
int uplo = 121;
double alpha[2] = {1, 0};
double beta[2] = {1, 0};
int N = 3;
int k = 1;
int lda = 3;
double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 };
double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 };
int incX = -1;
double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 };
int incY = -1;
double y_expected[] = { -1.626828, 0.003954, 0.437012, -2.365106, 0.446715, 0.16323 };
cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1098) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1098) imag");
};
};
};
{
int order = 102;
int uplo = 121;
double alpha[2] = {1, 0};
double beta[2] = {1, 0};
int N = 3;
int k = 1;
int lda = 3;
double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 };
double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 };
int incX = -1;
double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 };
int incY = -1;
double y_expected[] = { -1.626828, 0.003954, 0.437012, -2.365106, 0.446715, 0.16323 };
cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1099) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1099) imag");
};
};
};
{
int order = 102;
int uplo = 122;
double alpha[2] = {1, 0};
double beta[2] = {1, 0};
int N = 3;
int k = 1;
int lda = 3;
double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 };
double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 };
int incX = -1;
double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 };
int incY = -1;
double y_expected[] = { -0.097302, -1.204999, 1.168771, -0.822543, 0.734395, 1.379065 };
cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1100) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1100) imag");
};
};
};
{
int order = 102;
int uplo = 122;
double alpha[2] = {1, 0};
double beta[2] = {1, 0};
int N = 3;
int k = 1;
int lda = 3;
double A[] = { 0.662, 0.24, -0.311, -0.345, -0.782, 0.904, -0.842, 0.065, -0.168, -0.855, -0.692, 0.113, 0.009, -0.707, -0.981, 0.019, -0.687, 0.861 };
double X[] = { 0.873, -0.509, 0.398, 0.471, 0.214, 0.878 };
int incX = -1;
double Y[] = { -0.441, -0.781, 0.979, -0.911, 0.879, 0.807 };
int incY = -1;
double y_expected[] = { -0.097302, -1.204999, 1.168771, -0.822543, 0.734395, 1.379065 };
cblas_zhbmv(order, uplo, N, k, alpha, A, lda, X, incX, beta, Y, incY);
{
int i;
for (i = 0; i < 3; i++) {
gsl_test_rel(Y[2*i], y_expected[2*i], dbleps, "zhbmv(case 1101) real");
gsl_test_rel(Y[2*i+1], y_expected[2*i+1], dbleps, "zhbmv(case 1101) imag");
};
};
};
}
void F77_zhbmv(int *layout, char *uplow, int *n, int *k,
CBLAS_TEST_ZOMPLEX *alpha, CBLAS_TEST_ZOMPLEX *a, int *lda,
CBLAS_TEST_ZOMPLEX *x, int *incx, CBLAS_TEST_ZOMPLEX *beta,
CBLAS_TEST_ZOMPLEX *y, int *incy) {
CBLAS_TEST_ZOMPLEX *A;
int i,irow,j,jcol,LDA;
CBLAS_UPLO uplo;
get_uplo_type(uplow,&uplo);
if (*layout == TEST_ROW_MJR) {
if (uplo != CblasUpper && uplo != CblasLower )
cblas_zhbmv(CblasRowMajor, UNDEFINED, *n, *k, alpha, a, *lda, x,
*incx, beta, y, *incy );
else {
LDA = *k+2;
A =(CBLAS_TEST_ZOMPLEX*)malloc((*n+*k)*LDA*sizeof(CBLAS_TEST_ZOMPLEX));
if (uplo == CblasUpper) {
for( i=0; i<*k; i++ ) {
irow=*k-i;
jcol=(*k)-i;
for( j=jcol; j<*n; j++ ) {
A[ LDA*(j-jcol)+irow ].real=a[ (*lda)*j+i ].real;
A[ LDA*(j-jcol)+irow ].imag=a[ (*lda)*j+i ].imag;
}
}
i=*k;
irow=*k-i;
for( j=0; j<*n; j++ ) {
A[ LDA*j+irow ].real=a[ (*lda)*j+i ].real;
A[ LDA*j+irow ].imag=a[ (*lda)*j+i ].imag;
}
}
else {
i=0;
irow=*k-i;
for( j=0; j<*n; j++ ) {
A[ LDA*j+irow ].real=a[ (*lda)*j+i ].real;
A[ LDA*j+irow ].imag=a[ (*lda)*j+i ].imag;
}
for( i=1; i<*k+1; i++ ) {
irow=*k-i;
jcol=i;
for( j=jcol; j<(*n+*k); j++ ) {
A[ LDA*j+irow ].real=a[ (*lda)*(j-jcol)+i ].real;
A[ LDA*j+irow ].imag=a[ (*lda)*(j-jcol)+i ].imag;
}
}
}
cblas_zhbmv( CblasRowMajor, uplo, *n, *k, alpha, A, LDA, x, *incx,
beta, y, *incy );
free(A);
}
}
else if (*layout == TEST_COL_MJR)
cblas_zhbmv(CblasColMajor, uplo, *n, *k, alpha, a, *lda, x, *incx,
beta, y, *incy );
else
cblas_zhbmv(UNDEFINED, uplo, *n, *k, alpha, a, *lda, x, *incx,
beta, y, *incy );
}