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/* ---------------------------------------------------------------------
*
* -- PBLAS auxiliary routine (version 2.0) --
* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
* and University of California, Berkeley.
* April 1, 1998
*
* ---------------------------------------------------------------------
*/
/*
* Include files
*/
#include "../pblas.h"
#include "../PBpblas.h"
#include "../PBtools.h"
#include "../PBblacs.h"
#include "../PBblas.h"
#ifdef __STDC__
void PB_Ctzsymv( PBTYP_T * TYPE, char * SIDE, char * UPLO, int M, int N,
int K, int IOFFD, char * ALPHA, char * A, int LDA,
char * XC, int LDXC, char * XR, int LDXR, char * YC,
int LDYC, char * YR, int LDYR )
#else
void PB_Ctzsymv( TYPE, SIDE, UPLO, M, N, K, IOFFD, ALPHA, A, LDA, XC,
LDXC, XR, LDXR, YC, LDYC, YR, LDYR )
/*
* .. Scalar Arguments ..
*/
char * SIDE, * UPLO;
int IOFFD, K, LDA, LDXC, LDXR, LDYC, LDYR, M, N;
char * ALPHA;
/*
* .. Array Arguments ..
*/
PBTYP_T * TYPE;
char * A, * XC, * XR, * YC, * YR;
#endif
{
/*
* Purpose
* =======
*
* PB_Ctzsymv performs the matrix-vector operation
*
* y := alpha * A * x + y,
*
* where alpha is a scalar, x and y are n element vectors and A is an m
* by n trapezoidal symmetric or Hermitian matrix.
*
* Arguments
* =========
*
* TYPE (local input) pointer to a PBTYP_T structure
* On entry, TYPE is a pointer to a structure of type PBTYP_T,
* that contains type information (See pblas.h).
*
* SIDE (dummy) pointer to CHAR
* In this routine, SIDE is a dummy (unused) argument.
*
* UPLO (input) pointer to CHAR
* On entry, UPLO specifies which part of the matrix A is to be
* referenced as follows:
*
* UPLO = 'L' or 'l' the lower trapezoid of A is referenced,
*
* UPLO = 'U' or 'u' the upper trapezoid of A is referenced,
*
* otherwise all of the matrix A is referenced.
*
* M (input) INTEGER
* On entry, M specifies the number of rows of the matrix A. M
* must be at least zero.
*
* N (input) INTEGER
* On entry, N specifies the number of columns of the matrix A.
* N must be at least zero.
*
* K (dummy) INTEGER
* In this routine, K is a dummy (unused) argument.
*
* IOFFD (input) INTEGER
* On entry, IOFFD specifies the position of the offdiagonal de-
* limiting the upper and lower trapezoidal part of A as follows
* (see the notes below):
*
* IOFFD = 0 specifies the main diagonal A( i, i ),
* with i = 1 ... MIN( M, N ),
* IOFFD > 0 specifies the subdiagonal A( i+IOFFD, i ),
* with i = 1 ... MIN( M-IOFFD, N ),
* IOFFD < 0 specifies the superdiagonal A( i, i-IOFFD ),
* with i = 1 ... MIN( M, N+IOFFD ).
*
* ALPHA (input) pointer to CHAR
* On entry, ALPHA specifies the scalar alpha.
*
* A (input) pointer to CHAR
* On entry, A is an array of dimension (LDA,N) containing the m
* by n matrix A. Only the trapezoidal part of A determined by
* UPLO and IOFFD is referenced.
*
* LDA (input) INTEGER
* On entry, LDA specifies the leading dimension of the array A.
* LDA must be at least max( 1, M ).
*
* XC (input) pointer to CHAR
* On entry, XC is an array of dimension (LDXC,1) containing the
* m by 1 vector XC.
*
* LDXC (input) INTEGER
* On entry, LDXC specifies the leading dimension of the array
* XC. LDXC must be at least max( 1, M ).
*
* XR (input) pointer to CHAR
* On entry, XR is an array of dimension (LDXR,N) containing the
* 1 by n vector XR.
*
* LDXR (input) INTEGER
* On entry, LDXR specifies the leading dimension of the array
* XR. LDXR must be at least 1.
*
* YC (input/output) pointer to CHAR
* On entry, YC is an array of dimension (LDYC,1) containing the
* m by 1 vector YC. On exit, YC is overwritten by the partially
* updated vector y.
*
* LDYC (input) INTEGER
* On entry, LDYC specifies the leading dimension of the array
* YC. LDYC must be at least max( 1, M ).
*
* YR (input/output) pointer to CHAR
* On entry, YR is an array of dimension (LDYR,N) containing the
* 1 by n vector YR. On exit, YR is overwritten by the partially
* updated vector y.
*
* LDYR (input) INTEGER
* On entry, LDYR specifies the leading dimension of the array
* YR. LDYR must be at least 1.
*
* Notes
* =====
* N N
* ---------------------------- -----------
* | d | | |
* M | d Upper | | Upper |
* | Lower d | |d |
* | d | M | d |
* ---------------------------- | d |
* | d |
* IOFFD < 0 | Lower d |
* | d|
* N | |
* ----------- -----------
* | d Upper|
* | d | IOFFD > 0
* M | d |
* | d| N
* | Lower | ----------------------------
* | | | Upper |
* | | |d |
* | | | d |
* | | | d |
* | | |Lower d |
* ----------- ----------------------------
*
* -- Written on April 1, 1998 by
* Antoine Petitet, University of Tennessee, Knoxville 37996, USA.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Scalars ..
*/
char * one;
int i1, ione=1, j1, m1, mn, n1, size;
GEMV_T gemv;
/* ..
* .. Executable Statements ..
*
*/
if( ( M <= 0 ) || ( N <= 0 ) ) return;
if( Mupcase( UPLO[0] ) == CLOWER )
{
size = TYPE->size; one = TYPE->one; gemv = TYPE->Fgemv;
mn = MAX( 0, -IOFFD );
if( ( n1 = MIN( mn, N ) ) > 0 )
{
gemv( C2F_CHAR( NOTRAN ), &M, &n1, ALPHA, A, &LDA, XR, &LDXR, one, YC,
&ione );
gemv( C2F_CHAR( TRAN ), &M, &n1, ALPHA, A, &LDA, XC, &ione, one, YR,
&LDYR );
}
n1 = M - IOFFD;
if( ( n1 = MIN( n1, N ) - mn ) > 0 )
{
i1 = ( j1 = mn ) + IOFFD;
TYPE->Fsymv( C2F_CHAR( UPLO ), &n1, ALPHA, Mptr( A, i1, j1, LDA,
size ), &LDA, Mptr( XC, i1, 0, LDXC, size ), &ione, one,
Mptr( YC, i1, 0, LDYC, size ), &ione );
if( ( m1 = M - mn - n1 - IOFFD ) > 0 )
{
i1 += n1;
gemv( C2F_CHAR( NOTRAN ), &m1, &n1, ALPHA, Mptr( A, i1, j1, LDA,
size ), &LDA, Mptr( XR, 0, j1, LDXR, size ), &LDXR, one,
Mptr( YC, i1, 0, LDYC, size ), &ione );
gemv( C2F_CHAR( TRAN ), &m1, &n1, ALPHA, Mptr( A, i1, j1, LDA,
size ), &LDA, Mptr( XC, i1, 0, LDXC, size ), &ione, one,
Mptr( YR, 0, j1, LDYR, size ), &LDYR );
}
}
}
else if( Mupcase( UPLO[0] ) == CUPPER )
{
size = TYPE->size; one = TYPE->one; gemv = TYPE->Fgemv;
mn = M - IOFFD; mn = MIN( mn, N );
if( ( n1 = mn - MAX( 0, -IOFFD ) ) > 0 )
{
j1 = mn - n1;
if( ( m1 = MAX( 0, IOFFD ) ) > 0 )
{
gemv( C2F_CHAR( NOTRAN ), &m1, &n1, ALPHA, A, &LDA, XR, &LDXR, one,
YC, &ione );
gemv( C2F_CHAR( TRAN ), &m1, &n1, ALPHA, A, &LDA, XC, &ione, one,
YR, &LDYR );
}
TYPE->Fsymv( C2F_CHAR( UPLO ), &n1, ALPHA, Mptr( A, m1, j1, LDA,
size ), &LDA, Mptr( XC, m1, 0, LDXC, size ), &ione, one,
Mptr( YC, m1, 0, LDYC, size ), &ione );
}
if( ( n1 = N - MAX( 0, mn ) ) > 0 )
{
j1 = N - n1;
gemv( C2F_CHAR( NOTRAN ), &M, &n1, ALPHA, Mptr( A, 0, j1, LDA, size ),
&LDA, Mptr( XR, 0, j1, LDXR, size ), &LDXR, one, YC, &ione );
gemv( C2F_CHAR( TRAN ), &M, &n1, ALPHA, Mptr( A, 0, j1, LDA, size ),
&LDA, XC, &ione, one, Mptr( YR, 0, j1, LDYR, size ), &LDYR );
}
}
else
{
one = TYPE->one; gemv = TYPE->Fgemv;
gemv( C2F_CHAR( NOTRAN ), &M, &N, ALPHA, A, &LDA, XR, &LDXR, one, YC,
&ione );
gemv( C2F_CHAR( TRAN ), &M, &N, ALPHA, A, &LDA, XC, &ione, one, YR,
&LDYR );
}
/*
* End of PB_Ctzsymv
*/
}
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