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blas_z_v2.cpp
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/*
-- MAGMA (version 2.1.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date August 2016
@author Mark Gates
@precisions normal z -> s d c
*/
#include "magma_internal.h"
#include "error.h"
#define COMPLEX
#ifdef HAVE_CUBLAS
// =============================================================================
// Level 1 BLAS
/***************************************************************************//**
@return Index of element of vector x having max. absolute value;
\f$ \text{argmax}_i\; | real(x_i) | + | imag(x_i) | \f$.
@param[in]
n Number of elements in vector x. n >= 0.
@param[in]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx > 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_iamax
*******************************************************************************/
extern "C" magma_int_t
magma_izamax_q(
magma_int_t n,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magma_queue_t queue )
{
int result; /* not magma_int_t */
cublasIzamax( queue->cublas_handle(), int(n), dx, int(incx), &result );
return result;
}
/***************************************************************************//**
@return Index of element of vector x having min. absolute value;
\f$ \text{argmax}_i\; | real(x_i) | + | imag(x_i) | \f$.
@param[in]
n Number of elements in vector x. n >= 0.
@param[in]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx > 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_iamin
*******************************************************************************/
extern "C" magma_int_t
magma_izamin_q(
magma_int_t n,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magma_queue_t queue )
{
int result; /* not magma_int_t */
cublasIzamin( queue->cublas_handle(), int(n), dx, int(incx), &result );
return result;
}
/***************************************************************************//**
@return Sum of absolute values of vector x;
\f$ \sum_i | real(x_i) | + | imag(x_i) | \f$.
@param[in]
n Number of elements in vector x. n >= 0.
@param[in]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx > 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_asum
*******************************************************************************/
extern "C" double
magma_dzasum_q(
magma_int_t n,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magma_queue_t queue )
{
double result;
cublasDzasum( queue->cublas_handle(), int(n), dx, int(incx), &result );
return result;
}
/***************************************************************************//**
Constant times a vector plus a vector; \f$ y = \alpha x + y \f$.
@param[in]
n Number of elements in vectors x and y. n >= 0.
@param[in]
alpha Scalar \f$ \alpha \f$
@param[in]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in,out]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_axpy
*******************************************************************************/
extern "C" void
magma_zaxpy_q(
magma_int_t n,
magmaDoubleComplex alpha,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magmaDoubleComplex_ptr dy, magma_int_t incy,
magma_queue_t queue )
{
cublasZaxpy( queue->cublas_handle(), int(n), &alpha, dx, int(incx), dy, int(incy) );
}
/***************************************************************************//**
Copy vector x to vector y; \f$ y = x \f$.
@param[in]
n Number of elements in vectors x and y. n >= 0.
@param[in]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[out]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_copy
*******************************************************************************/
extern "C" void
magma_zcopy_q(
magma_int_t n,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magmaDoubleComplex_ptr dy, magma_int_t incy,
magma_queue_t queue )
{
cublasZcopy( queue->cublas_handle(), int(n), dx, int(incx), dy, int(incy) );
}
#ifdef COMPLEX
/***************************************************************************//**
@return Dot product of vectors x and y; \f$ x^H y \f$.
@param[in]
n Number of elements in vector x and y. n >= 0.
@param[in]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma__dot
*******************************************************************************/
extern "C"
magmaDoubleComplex magma_zdotc(
magma_int_t n,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magmaDoubleComplex_const_ptr dy, magma_int_t incy,
magma_queue_t queue )
{
magmaDoubleComplex result;
cublasZdotc( queue->cublas_handle(), int(n), dx, int(incx), dy, int(incy), &result );
return result;
}
#endif // COMPLEX
/***************************************************************************//**
@return Dot product (unconjugated) of vectors x and y; \f$ x^T y \f$.
@param[in]
n Number of elements in vector x and y. n >= 0.
@param[in]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma__dot
*******************************************************************************/
extern "C"
magmaDoubleComplex magma_zdotu(
magma_int_t n,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magmaDoubleComplex_const_ptr dy, magma_int_t incy,
magma_queue_t queue )
{
magmaDoubleComplex result;
cublasZdotu( queue->cublas_handle(), int(n), dx, int(incx), dy, int(incy), &result );
return result;
}
/***************************************************************************//**
@return 2-norm of vector x; \f$ \text{sqrt}( x^H x ) \f$.
Avoids unnecesary over/underflow.
@param[in]
n Number of elements in vector x and y. n >= 0.
@param[in]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx > 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_nrm2
*******************************************************************************/
extern "C" double
magma_dznrm2_q(
magma_int_t n,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magma_queue_t queue )
{
double result;
cublasDznrm2( queue->cublas_handle(), int(n), dx, int(incx), &result );
return result;
}
/***************************************************************************//**
Apply Givens plane rotation, where cos (c) is real and sin (s) is complex.
@param[in]
n Number of elements in vector x and y. n >= 0.
@param[in,out]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
On output, overwritten with c*x + s*y.
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in,out]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
On output, overwritten with -conj(s)*x + c*y.
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in]
c double. cosine.
@param[in]
s COMPLEX_16. sine. c and s define a rotation
[ c s ] where c*c + s*conj(s) = 1.
[ -conj(s) c ]
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_rot
*******************************************************************************/
extern "C" void
magma_zrot_q(
magma_int_t n,
magmaDoubleComplex_ptr dx, magma_int_t incx,
magmaDoubleComplex_ptr dy, magma_int_t incy,
double c, magmaDoubleComplex s,
magma_queue_t queue )
{
cublasZrot( queue->cublas_handle(), int(n), dx, int(incx), dy, int(incy), &c, &s );
}
#ifdef COMPLEX
/***************************************************************************//**
Apply Givens plane rotation, where cos (c) and sin (s) are real.
@param[in]
n Number of elements in vector x and y. n >= 0.
@param[in,out]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
On output, overwritten with c*x + s*y.
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in,out]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
On output, overwritten with -conj(s)*x + c*y.
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in]
c double. cosine.
@param[in]
s double. sine. c and s define a rotation
[ c s ] where c*c + s*s = 1.
[ -s c ]
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_rot
*******************************************************************************/
extern "C" void
magma_zdrot_q(
magma_int_t n,
magmaDoubleComplex_ptr dx, magma_int_t incx,
magmaDoubleComplex_ptr dy, magma_int_t incy,
double c, double s,
magma_queue_t queue )
{
cublasZdrot( queue->cublas_handle(), int(n), dx, int(incx), dy, int(incy), &c, &s );
}
#endif // COMPLEX
/***************************************************************************//**
Generate a Givens plane rotation.
The rotation annihilates the second entry of the vector, such that:
( c s ) * ( a ) = ( r )
( -s c ) ( b ) ( 0 )
where \f$ c^2 + s^2 = 1 \f$ and \f$ r = a^2 + b^2 \f$.
Further, this computes z such that
{ (sqrt(1 - z^2), z), if |z| < 1,
(c,s) = { (0, 1), if |z| = 1,
{ (1/z, sqrt(1 - z^2)), if |z| > 1.
@param[in]
a On input, entry to be modified.
On output, updated to r by applying the rotation.
@param[in,out]
b On input, entry to be annihilated.
On output, set to z.
@param[in]
c On output, cosine of rotation.
@param[in,out]
s On output, sine of rotation.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_rotg
*******************************************************************************/
extern "C" void
magma_zrotg_q(
magmaDoubleComplex *a, magmaDoubleComplex *b,
double *c, magmaDoubleComplex *s,
magma_queue_t queue )
{
cublasZrotg( queue->cublas_handle(), a, b, c, s );
}
#ifdef REAL
/***************************************************************************//**
Apply modified plane rotation.
@ingroup magma_rotm
*******************************************************************************/
extern "C" void
magma_zrotm_q(
magma_int_t n,
double *dx, magma_int_t incx,
double *dy, magma_int_t incy,
const double *param,
magma_queue_t queue )
{
cublasZrotm( queue->cublas_handle(), int(n), dx, int(incx), dy, int(incy), param );
}
#endif // REAL
#ifdef REAL
/***************************************************************************//**
Generate modified plane rotation.
@ingroup magma_rotmg
*******************************************************************************/
extern "C" void
magma_zrotmg_q(
double *d1, double *d2,
double *x1, const double *y1,
double *param,
magma_queue_t queue )
{
cublasZrotmg( queue->cublas_handle(), d1, d2, x1, y1, param );
}
#endif // REAL
/***************************************************************************//**
Scales a vector by a constant; \f$ x = \alpha x \f$.
@param[in]
n Number of elements in vector x. n >= 0.
@param[in]
alpha Scalar \f$ \alpha \f$
@param[in,out]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx > 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_scal
*******************************************************************************/
extern "C" void
magma_zscal_q(
magma_int_t n,
magmaDoubleComplex alpha,
magmaDoubleComplex_ptr dx, magma_int_t incx,
magma_queue_t queue )
{
cublasZscal( queue->cublas_handle(), int(n), &alpha, dx, int(incx) );
}
#ifdef COMPLEX
/***************************************************************************//**
Scales a vector by a real constant; \f$ x = \alpha x \f$.
@param[in]
n Number of elements in vector x. n >= 0.
@param[in]
alpha Scalar \f$ \alpha \f$ (real)
@param[in,out]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx > 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_scal
*******************************************************************************/
extern "C" void
magma_zdscal_q(
magma_int_t n,
double alpha,
magmaDoubleComplex_ptr dx, magma_int_t incx,
magma_queue_t queue )
{
cublasZdscal( queue->cublas_handle(), int(n), &alpha, dx, int(incx) );
}
#endif // COMPLEX
/***************************************************************************//**
Swap vector x and y; \f$ x <-> y \f$.
@param[in]
n Number of elements in vector x and y. n >= 0.
@param[in,out]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in,out]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_swap
*******************************************************************************/
extern "C" void
magma_zswap_q(
magma_int_t n,
magmaDoubleComplex_ptr dx, magma_int_t incx,
magmaDoubleComplex_ptr dy, magma_int_t incy,
magma_queue_t queue )
{
cublasZswap( queue->cublas_handle(), int(n), dx, int(incx), dy, int(incy) );
}
// =============================================================================
// Level 2 BLAS
/***************************************************************************//**
Perform matrix-vector product.
\f$ y = \alpha A x + \beta y \f$ (transA == MagmaNoTrans), or \n
\f$ y = \alpha A^T x + \beta y \f$ (transA == MagmaTrans), or \n
\f$ y = \alpha A^H x + \beta y \f$ (transA == MagmaConjTrans).
@param[in]
transA Operation to perform on A.
@param[in]
m Number of rows of A. m >= 0.
@param[in]
n Number of columns of A. n >= 0.
@param[in]
alpha Scalar \f$ \alpha \f$
@param[in]
dA COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,m).
The m-by-n matrix A, on GPU device.
@param[in]
ldda Leading dimension of dA.
@param[in]
dx COMPLEX_16 array on GPU device.
If transA == MagmaNoTrans, the n element vector x of dimension (1 + (n-1)*incx); \n
otherwise, the m element vector x of dimension (1 + (m-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in]
beta Scalar \f$ \beta \f$
@param[in,out]
dy COMPLEX_16 array on GPU device.
If transA == MagmaNoTrans, the m element vector y of dimension (1 + (m-1)*incy); \n
otherwise, the n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_gemv
*******************************************************************************/
extern "C" void
magma_zgemv_q(
magma_trans_t transA,
magma_int_t m, magma_int_t n,
magmaDoubleComplex alpha,
magmaDoubleComplex_const_ptr dA, magma_int_t ldda,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magmaDoubleComplex beta,
magmaDoubleComplex_ptr dy, magma_int_t incy,
magma_queue_t queue )
{
cublasZgemv(
queue->cublas_handle(),
cublas_trans_const( transA ),
int(m), int(n),
&alpha, dA, int(ldda),
dx, int(incx),
&beta, dy, int(incy) );
}
#ifdef COMPLEX
/***************************************************************************//**
Perform rank-1 update, \f$ A = \alpha x y^H + A \f$.
@param[in]
m Number of rows of A. m >= 0.
@param[in]
n Number of columns of A. n >= 0.
@param[in]
alpha Scalar \f$ \alpha \f$
@param[in]
dx COMPLEX_16 array on GPU device.
The m element vector x of dimension (1 + (m-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in,out]
dA COMPLEX_16 array on GPU device.
The m-by-n matrix A of dimension (ldda,n), ldda >= max(1,m).
@param[in]
ldda Leading dimension of dA.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_ger
*******************************************************************************/
extern "C" void
magma_zgerc_q(
magma_int_t m, magma_int_t n,
magmaDoubleComplex alpha,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magmaDoubleComplex_const_ptr dy, magma_int_t incy,
magmaDoubleComplex_ptr dA, magma_int_t ldda,
magma_queue_t queue )
{
cublasZgerc(
queue->cublas_handle(),
int(m), int(n),
&alpha, dx, int(incx),
dy, int(incy),
dA, int(ldda) );
}
#endif // COMPLEX
/***************************************************************************//**
Perform rank-1 update (unconjugated), \f$ A = \alpha x y^T + A \f$.
@param[in]
m Number of rows of A. m >= 0.
@param[in]
n Number of columns of A. n >= 0.
@param[in]
alpha Scalar \f$ \alpha \f$
@param[in]
dx COMPLEX_16 array on GPU device.
The m element vector x of dimension (1 + (m-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in,out]
dA COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,m).
The m-by-n matrix A, on GPU device.
@param[in]
ldda Leading dimension of dA.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_ger
*******************************************************************************/
extern "C" void
magma_zgeru_q(
magma_int_t m, magma_int_t n,
magmaDoubleComplex alpha,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magmaDoubleComplex_const_ptr dy, magma_int_t incy,
magmaDoubleComplex_ptr dA, magma_int_t ldda,
magma_queue_t queue )
{
cublasZgeru(
queue->cublas_handle(),
int(m), int(n),
&alpha, dx, int(incx),
dy, int(incy),
dA, int(ldda) );
}
#ifdef COMPLEX
/***************************************************************************//**
Perform Hermitian matrix-vector product, \f$ y = \alpha A x + \beta y, \f$
where \f$ A \f$ is Hermitian.
@param[in]
uplo Whether the upper or lower triangle of A is referenced.
@param[in]
n Number of rows and columns of A. n >= 0.
@param[in]
alpha Scalar \f$ \alpha \f$
@param[in]
dA COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n).
The n-by-n matrix A, on GPU device.
@param[in]
ldda Leading dimension of dA.
@param[in]
dx COMPLEX_16 array on GPU device.
The m element vector x of dimension (1 + (m-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in]
beta Scalar \f$ \beta \f$
@param[in,out]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_hemv
*******************************************************************************/
extern "C" void
magma_zhemv_q(
magma_uplo_t uplo,
magma_int_t n,
magmaDoubleComplex alpha,
magmaDoubleComplex_const_ptr dA, magma_int_t ldda,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magmaDoubleComplex beta,
magmaDoubleComplex_ptr dy, magma_int_t incy,
magma_queue_t queue )
{
cublasZhemv(
queue->cublas_handle(),
cublas_uplo_const( uplo ),
int(n),
&alpha, dA, int(ldda),
dx, int(incx),
&beta, dy, int(incy) );
}
#endif // COMPLEX
#ifdef COMPLEX
/***************************************************************************//**
Perform Hermitian rank-1 update, \f$ A = \alpha x x^H + A, \f$
where \f$ A \f$ is Hermitian.
@param[in]
uplo Whether the upper or lower triangle of A is referenced.
@param[in]
n Number of rows and columns of A. n >= 0.
@param[in]
alpha Scalar \f$ \alpha \f$
@param[in]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in,out]
dA COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n).
The n-by-n matrix A, on GPU device.
@param[in]
ldda Leading dimension of dA.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_her
*******************************************************************************/
extern "C" void
magma_zher_q(
magma_uplo_t uplo,
magma_int_t n,
double alpha,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magmaDoubleComplex_ptr dA, magma_int_t ldda,
magma_queue_t queue )
{
cublasZher(
queue->cublas_handle(),
cublas_uplo_const( uplo ),
int(n),
&alpha, dx, int(incx),
dA, int(ldda) );
}
#endif // COMPLEX
#ifdef COMPLEX
/***************************************************************************//**
Perform Hermitian rank-2 update, \f$ A = \alpha x y^H + conj(\alpha) y x^H + A, \f$
where \f$ A \f$ is Hermitian.
@param[in]
uplo Whether the upper or lower triangle of A is referenced.
@param[in]
n Number of rows and columns of A. n >= 0.
@param[in]
alpha Scalar \f$ \alpha \f$
@param[in]
dx COMPLEX_16 array on GPU device.
The n element vector x of dimension (1 + (n-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in,out]
dA COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n).
The n-by-n matrix A, on GPU device.
@param[in]
ldda Leading dimension of dA.
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magma_her2
*******************************************************************************/
extern "C" void
magma_zher2_q(
magma_uplo_t uplo,
magma_int_t n,
magmaDoubleComplex alpha,
magmaDoubleComplex_const_ptr dx, magma_int_t incx,
magmaDoubleComplex_const_ptr dy, magma_int_t incy,
magmaDoubleComplex_ptr dA, magma_int_t ldda,
magma_queue_t queue )
{
cublasZher2(
queue->cublas_handle(),
cublas_uplo_const( uplo ),
int(n),
&alpha, dx, int(incx),
dy, int(incy),
dA, int(ldda) );
}
#endif // COMPLEX
/***************************************************************************//**
Perform symmetric matrix-vector product, \f$ y = \alpha A x + \beta y, \f$
where \f$ A \f$ is symmetric.
@param[in]
uplo Whether the upper or lower triangle of A is referenced.
@param[in]
n Number of rows and columns of A. n >= 0.
@param[in]
alpha Scalar \f$ \alpha \f$
@param[in]
dA COMPLEX_16 array of dimension (ldda,n), ldda >= max(1,n).
The n-by-n matrix A, on GPU device.
@param[in]
ldda Leading dimension of dA.
@param[in]
dx COMPLEX_16 array on GPU device.
The m element vector x of dimension (1 + (m-1)*incx).
@param[in]
incx Stride between consecutive elements of dx. incx != 0.
@param[in]
beta Scalar \f$ \beta \f$
@param[in,out]
dy COMPLEX_16 array on GPU device.
The n element vector y of dimension (1 + (n-1)*incy).
@param[in]
incy Stride between consecutive elements of dy. incy != 0.
@param[in]
queue magma_queue_t