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/* ---------------------------------------------------------------------
*
* -- PBLAS 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 pzher_( F_CHAR_T UPLO, Int * N, double * ALPHA,
double * X, Int * IX, Int * JX, Int * DESCX, Int * INCX,
double * A, Int * IA, Int * JA, Int * DESCA )
#else
void pzher_( UPLO, N, ALPHA, X, IX, JX, DESCX, INCX, A, IA, JA, DESCA )
/*
* .. Scalar Arguments ..
*/
F_CHAR_T UPLO;
Int * IA, * INCX, * IX, * JA, * JX, * N;
double * ALPHA;
/*
* .. Array Arguments ..
*/
Int * DESCA, * DESCX;
double * A, * X;
#endif
{
/*
* Purpose
* =======
*
* PZHER performs the Hermitian rank 1 operation
*
* sub( A ) := alpha*sub( X )*conjg( sub( X )' ) + sub( A ),
*
* where
*
* sub( A ) denotes A(IA:IA+N-1,JA:JA+N-1), and,
*
* sub( X ) denotes X(IX,JX:JX+N-1) if INCX = M_X,
* X(IX:IX+N-1,JX) if INCX = 1 and INCX <> M_X.
*
* Alpha is a real scalar, sub( X ) is an n element subvector and
* sub( A ) is an n by n Hermitian submatrix.
*
* Notes
* =====
*
* A description vector is associated with each 2D block-cyclicly dis-
* tributed matrix. This vector stores the information required to
* establish the mapping between a matrix entry and its corresponding
* process and memory location.
*
* In the following comments, the character _ should be read as
* "of the distributed matrix". Let A be a generic term for any 2D
* block cyclicly distributed matrix. Its description vector is DESC_A:
*
* NOTATION STORED IN EXPLANATION
* ---------------- --------------- ------------------------------------
* DTYPE_A (global) DESCA[ DTYPE_ ] The descriptor type.
* CTXT_A (global) DESCA[ CTXT_ ] The BLACS context handle, indicating
* the NPROW x NPCOL BLACS process grid
* A is distributed over. The context
* itself is global, but the handle
* (the integer value) may vary.
* M_A (global) DESCA[ M_ ] The number of rows in the distribu-
* ted matrix A, M_A >= 0.
* N_A (global) DESCA[ N_ ] The number of columns in the distri-
* buted matrix A, N_A >= 0.
* IMB_A (global) DESCA[ IMB_ ] The number of rows of the upper left
* block of the matrix A, IMB_A > 0.
* INB_A (global) DESCA[ INB_ ] The number of columns of the upper
* left block of the matrix A,
* INB_A > 0.
* MB_A (global) DESCA[ MB_ ] The blocking factor used to distri-
* bute the last M_A-IMB_A rows of A,
* MB_A > 0.
* NB_A (global) DESCA[ NB_ ] The blocking factor used to distri-
* bute the last N_A-INB_A columns of
* A, NB_A > 0.
* RSRC_A (global) DESCA[ RSRC_ ] The process row over which the first
* row of the matrix A is distributed,
* NPROW > RSRC_A >= 0.
* CSRC_A (global) DESCA[ CSRC_ ] The process column over which the
* first column of A is distributed.
* NPCOL > CSRC_A >= 0.
* LLD_A (local) DESCA[ LLD_ ] The leading dimension of the local
* array storing the local blocks of
* the distributed matrix A,
* IF( Lc( 1, N_A ) > 0 )
* LLD_A >= MAX( 1, Lr( 1, M_A ) )
* ELSE
* LLD_A >= 1.
*
* Let K be the number of rows of a matrix A starting at the global in-
* dex IA,i.e, A( IA:IA+K-1, : ). Lr( IA, K ) denotes the number of rows
* that the process of row coordinate MYROW ( 0 <= MYROW < NPROW ) would
* receive if these K rows were distributed over NPROW processes. If K
* is the number of columns of a matrix A starting at the global index
* JA, i.e, A( :, JA:JA+K-1, : ), Lc( JA, K ) denotes the number of co-
* lumns that the process MYCOL ( 0 <= MYCOL < NPCOL ) would receive if
* these K columns were distributed over NPCOL processes.
*
* The values of Lr() and Lc() may be determined via a call to the func-
* tion PB_Cnumroc:
* Lr( IA, K ) = PB_Cnumroc( K, IA, IMB_A, MB_A, MYROW, RSRC_A, NPROW )
* Lc( JA, K ) = PB_Cnumroc( K, JA, INB_A, NB_A, MYCOL, CSRC_A, NPCOL )
*
* Arguments
* =========
*
* UPLO (global input) CHARACTER*1
* On entry, UPLO specifies whether the local pieces of
* the array A containing the upper or lower triangular part
* of the Hermitian submatrix sub( A ) are to be referenced as
* follows:
*
* UPLO = 'U' or 'u' Only the local pieces corresponding to
* the upper triangular part of the
* Hermitian submatrix sub( A ) are to be
* referenced,
*
* UPLO = 'L' or 'l' Only the local pieces corresponding to
* the lower triangular part of the
* Hermitian submatrix sub( A ) are to be
* referenced.
*
* N (global input) INTEGER
* On entry, N specifies the order of the submatrix sub( A ).
* N must be at least zero.
*
* ALPHA (global input) DOUBLE PRECISION
* On entry, ALPHA specifies the scalar alpha. When ALPHA is
* supplied as zero then the local entries of the array X
* corresponding to the entries of the subvector sub( X ) need
* not be set on input.
*
* X (local input) COMPLEX*16 array
* On entry, X is an array of dimension (LLD_X, Kx), where LLD_X
* is at least MAX( 1, Lr( 1, IX ) ) when INCX = M_X and
* MAX( 1, Lr( 1, IX+N-1 ) ) otherwise, and, Kx is at least
* Lc( 1, JX+N-1 ) when INCX = M_X and Lc( 1, JX ) otherwise.
* Before entry, this array contains the local entries of the
* matrix X.
*
* IX (global input) INTEGER
* On entry, IX specifies X's global row index, which points to
* the beginning of the submatrix sub( X ).
*
* JX (global input) INTEGER
* On entry, JX specifies X's global column index, which points
* to the beginning of the submatrix sub( X ).
*
* DESCX (global and local input) INTEGER array
* On entry, DESCX is an integer array of dimension DLEN_. This
* is the array descriptor for the matrix X.
*
* INCX (global input) INTEGER
* On entry, INCX specifies the global increment for the
* elements of X. Only two values of INCX are supported in
* this version, namely 1 and M_X. INCX must not be zero.
*
* A (local input/local output) COMPLEX*16 array
* On entry, A is an array of dimension (LLD_A, Ka), where Ka is
* at least Lc( 1, JA+N-1 ). Before entry, this array contains
* the local entries of the matrix A.
* Before entry with UPLO = 'U' or 'u', this array contains
* the local entries corresponding to the upper triangular part
* of the Hermitian submatrix sub( A ), and the local entries
* corresponding to the strictly lower triangular of sub( A )
* are not referenced. On exit, the upper triangular part of
* sub( A ) is overwritten by the upper triangular part of the
* updated submatrix.
* Before entry with UPLO = 'L' or 'l', this array contains
* the local entries corresponding to the lower triangular part
* of the Hermitian submatrix sub( A ), and the local entries
* corresponding to the strictly upper triangular of sub( A )
* are not referenced. On exit, the lower triangular part of
* sub( A ) is overwritten by the lower triangular part of the
* updated submatrix.
* Note that the imaginary parts of the local entries corres-
* ponding to the diagonal elements of sub( A ) need not be
* set, they are assumed to be zero, and on exit they are set
* to zero.
*
* IA (global input) INTEGER
* On entry, IA specifies A's global row index, which points to
* the beginning of the submatrix sub( A ).
*
* JA (global input) INTEGER
* On entry, JA specifies A's global column index, which points
* to the beginning of the submatrix sub( A ).
*
* DESCA (global and local input) INTEGER array
* On entry, DESCA is an integer array of dimension DLEN_. This
* is the array descriptor for the matrix A.
*
* -- Written on April 1, 1998 by
* Antoine Petitet, University of Tennessee, Knoxville 37996, USA.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Scalars ..
*/
char UploA;
Int Acol, Ai, Aii, Aimb1, Ainb1, Aj, Ajj, Akp, Akq, Ald, Amb,
Amp, Amp0, Anb, Anq, Anq0, Arow, XCfr, XCld, XRfr, XRld,
Xi, Xj, ctxt, info, ione=1, k, kb, ktmp, mycol, myrow, nb,
npcol, nprow, size, upper;
cmplx16 Calpha;
PBTYP_T * type;
/*
* .. Local Arrays ..
*/
Int Ad[DLEN_], Ad0[DLEN_], XCd0[DLEN_], XRd0[DLEN_], Xd[DLEN_];
char * Aptr = NULL, * XC = NULL, * XR = NULL;
/* ..
* .. Executable Statements ..
*
*/
upper = ( ( UploA = Mupcase( F2C_CHAR( UPLO )[0] ) ) == CUPPER );
PB_CargFtoC( *IA, *JA, DESCA, &Ai, &Aj, Ad );
PB_CargFtoC( *IX, *JX, DESCX, &Xi, &Xj, Xd );
#ifndef NO_ARGCHK
/*
* Test the input parameters
*/
Cblacs_gridinfo( ( ctxt = Xd[CTXT_] ), &nprow, &npcol, &myrow, &mycol );
if( !( info = ( ( nprow == -1 ) ? -( 701 + CTXT_ ) : 0 ) ) )
{
if( ( !upper ) && ( UploA != CLOWER ) )
{
PB_Cwarn( ctxt, __LINE__, "PZHER", "Illegal UPLO = %c\n", UploA );
info = -1;
}
PB_Cchkvec( ctxt, "PZHER", "X", *N, 2, Xi, Xj, Xd, *INCX, 7, &info );
PB_Cchkmat( ctxt, "PZHER", "A", *N, 2, *N, 2, Ai, Aj, Ad, 12, &info );
}
if( info ) { PB_Cabort( ctxt, "PZHER", info ); return; }
#endif
/*
* Quick return if possible
*/
if( ( *N == 0 ) || ( ALPHA[REAL_PART] == ZERO ) )
return;
/*
* Retrieve process grid information
*/
#ifdef NO_ARGCHK
Cblacs_gridinfo( ( ctxt = Ad[CTXT_] ), &nprow, &npcol, &myrow, &mycol );
#endif
/*
* Get type structure
*/
type = PB_Cztypeset();
/*
* Compute descriptor Ad0 for sub( A )
*/
PB_Cdescribe( *N, *N, Ai, Aj, Ad, nprow, npcol, myrow, mycol, &Aii, &Ajj,
&Ald, &Aimb1, &Ainb1, &Amb, &Anb, &Arow, &Acol, Ad0 );
/*
* Replicate sub( X ) in process rows (XR) and process columns (XC) spanned by
* sub( A )
*/
if( *INCX == Xd[M_] )
{
PB_CInV( type, NOCONJG, ROW, *N, *N, Ad0, 1, ((char *) X), Xi, Xj,
Xd, ROW, &XR, XRd0, &XRfr );
PB_CInV( type, NOCONJG, COLUMN, *N, *N, Ad0, 1, XR, 0, 0,
XRd0, ROW, &XC, XCd0, &XCfr );
}
else
{
PB_CInV( type, NOCONJG, COLUMN, *N, *N, Ad0, 1, ((char *) X), Xi, Xj,
Xd, COLUMN, &XC, XCd0, &XCfr );
PB_CInV( type, NOCONJG, ROW, *N, *N, Ad0, 1, XC, 0, 0,
XCd0, COLUMN, &XR, XRd0, &XRfr );
}
/*
* Local rank-1 update if I own some data
*/
Amp = PB_Cnumroc( *N, 0, Aimb1, Amb, myrow, Arow, nprow );
Anq = PB_Cnumroc( *N, 0, Ainb1, Anb, mycol, Acol, npcol );
if( ( Amp > 0 ) && ( Anq > 0 ) )
{
size = type->size;
Aptr = Mptr( ((char *) A), Aii, Ajj, Ald, size );
/*
* Computational partitioning size is computed as the product of the logical
* value returned by pilaenv_ and 2 * lcm( nprow, npcol ).
*/
nb = 2 * pilaenv_( &ctxt, C2F_CHAR( &type->type ) ) *
PB_Clcm( ( Arow >= 0 ? nprow : 1 ), ( Acol >= 0 ? npcol : 1 ) );
XCld = XCd0[LLD_]; XRld = XRd0[LLD_];
Calpha[REAL_PART] = ALPHA[REAL_PART];
Calpha[IMAG_PART] = ZERO;
if( upper )
{
for( k = 0; k < *N; k += nb )
{
kb = *N - k; kb = MIN( kb, nb );
Akp = PB_Cnumroc( k, 0, Aimb1, Amb, myrow, Arow, nprow );
Akq = PB_Cnumroc( k, 0, Ainb1, Anb, mycol, Acol, npcol );
Anq0 = PB_Cnumroc( kb, k, Ainb1, Anb, mycol, Acol, npcol );
if( Akp > 0 && Anq0 > 0 )
zgerc_( &Akp, &Anq0, ((char *) Calpha), XC, &ione,
Mptr( XR, 0, Akq, XRld, size ), &XRld, Mptr( Aptr, 0,
Akq, Ald, size ), &Ald );
PB_Cpsyr( type, UPPER, kb, 1, ((char *) Calpha), Mptr( XC, Akp, 0,
XCld, size ), XCld, Mptr( XR, 0, Akq, XRld, size ), XRld,
Aptr, k, k, Ad0, PB_Ctzher );
}
}
else
{
for( k = 0; k < *N; k += nb )
{
kb = *N - k; ktmp = k + ( kb = MIN( kb, nb ) );
Akp = PB_Cnumroc( k, 0, Aimb1, Amb, myrow, Arow, nprow );
Akq = PB_Cnumroc( k, 0, Ainb1, Anb, mycol, Acol, npcol );
PB_Cpsyr( type, LOWER, kb, 1, ((char *) Calpha), Mptr( XC, Akp, 0,
XCld, size ), XCld, Mptr( XR, 0, Akq, XRld, size ), XRld,
Aptr, k, k, Ad0, PB_Ctzher );
Akp = PB_Cnumroc( ktmp, 0, Aimb1, Amb, myrow, Arow, nprow );
Amp0 = Amp - Akp;
Anq0 = PB_Cnumroc( kb, k, Ainb1, Anb, mycol, Acol, npcol );
if( Amp0 > 0 && Anq0 > 0 )
zgerc_( &Amp0, &Anq0, ((char *) Calpha), Mptr( XC, Akp,
0, XCld, size ), &ione, Mptr( XR, 0, Akq, XRld, size ),
&XRld, Mptr( Aptr, Akp, Akq, Ald, size ), &Ald );
}
}
}
if( XRfr ) free( XR );
if( XCfr ) free( XC );
/*
* End of PZHER
*/
}
|
