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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_Ctzsyrk( PBTYP_T * TYPE, char * UPLO, int M, int N, int K,
int IOFFD, char * ALPHA, char * AC, int LDAC,
char * AR, int LDAR, char * C, int LDC )
#else
void PB_Ctzsyrk( TYPE, UPLO, M, N, K, IOFFD, ALPHA, AC, LDAC, AR, LDAR,
C, LDC )
/*
* .. Scalar Arguments ..
*/
char * UPLO;
int IOFFD, K, LDAC, LDAR, LDC, M, N;
char * ALPHA;
/*
* .. Array Arguments ..
*/
PBTYP_T * TYPE;
char * AC, * AR, * C;
#endif
{
/*
* Purpose
* =======
*
* PB_Ctzsyrk performs the trapezoidal symmetric or Hermitian rank k
* operation:
*
* C := alpha * AC * AR + C,
*
* where alpha is a scalar, AC is an m by k matrix, AR is an k by n ma-
* trix and C 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).
*
* UPLO (input) pointer to CHAR
* On entry, UPLO specifies which part of the matrix C is to be
* referenced as follows:
*
* UPLO = 'L' or 'l' the lower trapezoid of C is referenced,
*
* UPLO = 'U' or 'u' the upper trapezoid of C is referenced,
*
* otherwise all of the matrix C is referenced.
*
* M (input) INTEGER
* On entry, M specifies the number of rows of the matrix C. M
* must be at least zero.
*
* N (input) INTEGER
* On entry, N specifies the number of columns of the matrix C.
* N must be at least zero.
*
* K (input) INTEGER
* On entry, K specifies the number of columns of the matrix AC,
* and the number of rows of the matrix AR. K must be at least
* zero.
*
* IOFFD (input) INTEGER
* On entry, IOFFD specifies the position of the offdiagonal de-
* limiting the upper and lower trapezoidal part of C as follows
* (see the notes below):
*
* IOFFD = 0 specifies the main diagonal C( i, i ),
* with i = 1 ... MIN( M, N ),
* IOFFD > 0 specifies the subdiagonal C( i+IOFFD, i ),
* with i = 1 ... MIN( M-IOFFD, N ),
* IOFFD < 0 specifies the superdiagonal C( i, i-IOFFD ),
* with i = 1 ... MIN( M, N+IOFFD ).
*
* ALPHA (input) pointer to CHAR
* On entry, ALPHA specifies the scalar alpha.
*
* AC (input) pointer to CHAR
* On entry, AC is an array of dimension (LDAC,K) containing the
* m by k matrix AC.
*
* LDAC (input) INTEGER
* On entry, LDAC specifies the leading dimension of the array
* AC. LDAC must be at least max( 1, M ).
*
* AR (input) pointer to CHAR
* On entry, AR is an array of dimension (LDAR,N) containing the
* k by n matrix AR.
*
* LDAR (input) INTEGER
* On entry, LDAR specifies the leading dimension of the array
* AR. LDAR must be at least K.
*
* C (input/output) pointer to CHAR
* On entry, C is an array of dimension (LDC,N) containing the m
* by n matrix A. Only the trapezoidal part of C determined by
* UPLO and IOFFD is updated.
*
* LDC (input) INTEGER
* On entry, LDC specifies the leading dimension of the array C.
* LDC must be at least max( 1, M ).
*
* 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, j1, m1, mn, n1, size;
GEMM_T gemm;
/* ..
* .. Executable Statements ..
*
*/
if( ( M <= 0 ) || ( N <= 0 ) ) return;
if( Mupcase( UPLO[0] ) == CLOWER )
{
size = TYPE->size; one = TYPE->one; gemm = TYPE->Fgemm;
mn = MAX( 0, -IOFFD );
if( ( n1 = MIN( mn, N ) ) > 0 )
gemm( C2F_CHAR( NOTRAN ), C2F_CHAR( NOTRAN ), &M, &n1, &K, ALPHA, AC,
&LDAC, AR, &LDAR, one, C, &LDC );
if( ( n1 = MIN( M-IOFFD, N ) - mn ) > 0 )
{
i1 = ( j1 = mn ) + IOFFD;
TYPE->Fsyrk( C2F_CHAR( UPLO ), C2F_CHAR( NOTRAN ), &n1, &K, ALPHA,
Mptr( AC, i1, 0, LDAC, size ), &LDAC, one, Mptr( C, i1,
j1, LDC, size ), &LDC );
if( ( m1 = M - mn - n1 - IOFFD ) > 0 )
{
i1 += n1;
gemm( C2F_CHAR( NOTRAN ), C2F_CHAR( NOTRAN ), &m1, &n1, &K, ALPHA,
Mptr( AC, i1, 0, LDAC, size ), &LDAC, Mptr( AR, 0, j1, LDAR,
size ), &LDAR, one, Mptr( C, i1, j1, LDC, size ), &LDC );
}
}
}
else if( Mupcase( UPLO[0] ) == CUPPER )
{
size = TYPE->size; one = TYPE->one; gemm = TYPE->Fgemm;
mn = MIN( M - IOFFD, N );
if( ( n1 = mn - MAX( 0, -IOFFD ) ) > 0 )
{
j1 = mn - n1;
if( ( m1 = MAX( 0, IOFFD ) ) > 0 )
gemm( C2F_CHAR( NOTRAN ), C2F_CHAR( NOTRAN ), &m1, &n1, &K, ALPHA,
AC, &LDAC, AR, &LDAR, one, C, &LDC );
TYPE->Fsyrk( C2F_CHAR( UPLO ), C2F_CHAR( NOTRAN ), &n1, &K, ALPHA,
Mptr( AC, m1, 0, LDAC, size ), &LDAC, one, Mptr( C, m1,
j1, LDC, size ), &LDC );
}
if( ( n1 = N - MAX( 0, mn ) ) > 0 )
{
j1 = N - n1;
gemm( C2F_CHAR( NOTRAN ), C2F_CHAR( NOTRAN ), &M, &n1, &K, ALPHA, AC,
&LDAC, Mptr( AR, 0, j1, LDAR, size ), &LDAR, one, Mptr( C, 0, j1,
LDC, size ), &LDC );
}
}
else
{
TYPE->Fgemm( C2F_CHAR( NOTRAN ), C2F_CHAR( NOTRAN ), &M, &N, &K, ALPHA,
AC, &LDAC, AR, &LDAR, TYPE->one, C, &LDC );
}
/*
* End of PB_Ctzsyrk
*/
}
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