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/* ---------------------------------------------------------------------
*
* Mark R. Fahey
* August 2000
* This is a slightly modified version of pzaxpy_ from ScaLAPACK 1.0
* which fixes a bug in the incx=1 and incy=1 case.
*
* ---------------------------------------------------------------------
*/
/*
* Include files
*/
#include "pblas.h"
void pzaxpy_( n, alpha, X, ix, jx, desc_X, incx, Y, iy, jy, desc_Y,
incy )
/*
* .. Scalar Arguments ..
*/
int * incx, * incy, * ix, * iy, * jx, * jy, * n;
complex16 * alpha;
/* ..
* .. Array Arguments ..
*/
int desc_X[], desc_Y[];
complex16 X[], Y[];
{
/*
* Purpose
* =======
*
* PZAXPY adds one distributed vector to another,
*
* sub( Y ) := sub( Y ) + alpha * sub( X )
*
* where 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,
*
* sub( Y ) denotes Y(IY,JY:JY+N-1) if INCY = M_Y,
* Y(IY:IY+N-1,JY) if INCY = 1 and INCY <> M_Y.
*
* Notes
* =====
*
* Each global data object is described by an associated description
* vector. This vector stores the information required to establish
* the mapping between an object element and its corresponding process
* and memory location.
*
* Let A be a generic term for any 2D block cyclicly distributed array.
* Such a global array has an associated description vector descA.
* In the following comments, the character _ should be read as
* "of the global array".
*
* NOTATION STORED IN EXPLANATION
* --------------- -------------- --------------------------------------
* DT_A (global) descA[ DT_ ] The descriptor type. In this case,
* DT_A = 1.
* CTXT_A (global) descA[ CTXT_ ] The BLACS context handle, indicating
* the BLACS process grid A is distribu-
* ted over. The context itself is glo-
* bal, but the handle (the integer
* value) may vary.
* M_A (global) descA[ M_ ] The number of rows in the global
* array A.
* N_A (global) descA[ N_ ] The number of columns in the global
* array A.
* MB_A (global) descA[ MB_ ] The blocking factor used to distribu-
* te the rows of the array.
* NB_A (global) descA[ NB_ ] The blocking factor used to distribu-
* te the columns of the array.
* RSRC_A (global) descA[ RSRC_ ] The process row over which the first
* row of the array A is distributed.
* CSRC_A (global) descA[ CSRC_ ] The process column over which the
* first column of the array A is
* distributed.
* LLD_A (local) descA[ LLD_ ] The leading dimension of the local
* array. LLD_A >= MAX(1,LOCr(M_A)).
*
* Let K be the number of rows or columns of a distributed matrix,
* and assume that its process grid has dimension p x q.
* LOCr( K ) denotes the number of elements of K that a process
* would receive if K were distributed over the p processes of its
* process column.
* Similarly, LOCc( K ) denotes the number of elements of K that a
* process would receive if K were distributed over the q processes of
* its process row.
* The values of LOCr() and LOCc() may be determined via a call to the
* ScaLAPACK tool function, NUMROC:
* LOCr( M ) = NUMROC( M, MB_A, MYROW, RSRC_A, NPROW ),
* LOCc( N ) = NUMROC( N, NB_A, MYCOL, CSRC_A, NPCOL ).
* An upper bound for these quantities may be computed by:
* LOCr( M ) <= ceil( ceil(M/MB_A)/NPROW )*MB_A
* LOCc( N ) <= ceil( ceil(N/NB_A)/NPCOL )*NB_A
*
* Because vectors may be seen as particular matrices, a distributed
* vector is considered to be a distributed matrix.
*
* If INCX = M_X and INCY = M_Y, NB_X must be equal to NB_Y, and the
* process column having the first entries of sub( Y ) must also contain
* the first entries of sub( X ). Moreover, the quantity
* MOD( JX-1, NB_X ) must be equal to MOD( JY-1, NB_Y ).
*
* If INCX = M_X, INCY = 1 and INCY <> M_Y, NB_X must be equal to MB_Y.
* Moreover, the quantity MOD( JX-1, NB_X ) must be equal to
* MOD( IY-1, MB_Y ).
*
* If INCX = 1, INCX <> M_X and INCY = M_Y, MB_X must be equal to NB_Y.
* Moreover, the quantity MOD( IX-1, MB_X ) must be equal to
* MOD( JY-1, NB_Y ).
*
* If INCX = 1, INCX <> M_X, INCY = 1 and INCY <> M_Y, MB_X must be
* equal to MB_Y, and the process row having the first entries of
* sub( Y ) must also contain the first entries of sub( X ). Moreover,
* the quantity MOD( IX-1, MB_X ) must be equal to MOD( IY-1, MB_Y ).
*
* Parameters
* ==========
*
* N (global input) pointer to INTEGER.
* The length of the distributed vectors to be added. N >= 0.
*
* ALPHA (global input) pointer to COMPLEX*16
* The scalar used to multiply each component of sub( X ).
*
* X (local input) COMPLEX*16 array containing the local
* pieces of a distributed matrix of dimension of at least
* ( (JX-1)*M_X + IX + ( N - 1 )*abs( INCX ) )
* This array contains the entries of the distributed vector
* sub( X ).
*
* IX (global input) pointer to INTEGER
* The global row index of the submatrix of the distributed
* matrix X to operate on.
*
* JX (global input) pointer to INTEGER
* The global column index of the submatrix of the distributed
* matrix X to operate on.
*
* DESCX (global and local input) INTEGER array of dimension 8.
* The array descriptor of the distributed matrix X.
*
* INCX (global input) pointer to INTEGER
* The global increment for the elements of X. Only two values
* of INCX are supported in this version, namely 1 and M_X.
*
* Y (local input/local output) COMPLEX*16 array
* containing the local pieces of a distributed matrix of
* dimension of at least
* ( (JY-1)*M_Y + IY + ( N - 1 )*abs( INCY ) )
* This array contains the entries of the distributed vector
* sub( Y ).
* On exit sub( Y ) is overwritten by sub( Y ) + alpha*sub( X ).
*
* IY (global input) pointer to INTEGER
* The global row index of the submatrix of the distributed
* matrix Y to operate on.
*
* JY (global input) pointer to INTEGER
* The global column index of the submatrix of the distributed
* matrix Y to operate on.
*
* DESCY (global and local input) INTEGER array of dimension 8.
* The array descriptor of the distributed matrix Y.
*
* INCY (global input) pointer to INTEGER
* The global increment for the elements of Y. Only two values
* of INCY are supported in this version, namely 1 and M_Y.
*
* =====================================================================
*
* .. Local Scalars ..
*/
int ictxt, info, iix, iiy, ixcol, ixrow, iycol, iyrow, jjx,
jjy, lcm, lcmp, lcmq, mycol, myrow, nn, np, np0, nprow,
npcol, nq, nq0, nz, ione=1, tmp1, wksz;
complex16 one, tmp, zero;
/* ..
* .. PBLAS Buffer ..
*/
complex16 * buff;
/* ..
* .. External Functions ..
*/
void blacs_gridinfo_();
void zgerv2d_();
void zgesd2d_();
void pbchkvect();
void pberror_();
char * getpbbuf();
F_VOID_FCT zaxpy_();
F_VOID_FCT zcopy_();
F_VOID_FCT pbztrnv_();
F_INTG_FCT ilcm_();
F_INTG_FCT numroc_();
/* ..
* .. Executable Statements ..
*
* Get grid parameters
*/
ictxt = desc_X[CTXT_];
blacs_gridinfo_( &ictxt, &nprow, &npcol, &myrow, &mycol );
/*
* Test the input parameters
*/
info = 0;
if( nprow == -1 )
info = -(600+CTXT_+1);
else
{
pbchkvect( *n, 1, *ix, *jx, desc_X, *incx, 6, &iix, &jjx,
&ixrow, &ixcol, nprow, npcol, myrow, mycol, &info );
pbchkvect( *n, 1, *iy, *jy, desc_Y, *incy, 11, &iiy, &jjy,
&iyrow, &iycol, nprow, npcol, myrow, mycol, &info );
if( info == 0 )
{
if( *n != 1 )
{
if( *incx == desc_X[M_] )
{ /* X is distributed along a process row */
if( *incy == desc_Y[M_] )
{ /* Y is distributed over a process row */
if( ( ixcol != iycol ) ||
( ( (*jx-1) % desc_X[NB_] ) !=
( (*jy-1) % desc_Y[NB_] ) ) )
info = -10;
else if( desc_Y[NB_] != desc_X[NB_] )
info = -(1100+NB_+1);
}
else if( ( *incy == 1 ) && ( *incy != desc_Y[M_] ) )
{ /* Y is distributed over a process column */
if( ( (*jx-1) % desc_X[NB_] ) != ( (*iy-1) % desc_Y[MB_] ) )
info = -9;
else if( desc_Y[MB_] != desc_X[NB_] )
info = -(1100+MB_+1);
}
else
{
info = -12;
}
}
else if( ( *incx == 1 ) && ( *incx != desc_X[M_] ) )
{ /* X is distributed along a process column */
if( *incy == desc_Y[M_] )
{ /* Y is distributed over a process row */
if( ( (*ix-1) % desc_X[MB_] ) != ( (*jy-1) % desc_Y[NB_] ) )
info = -10;
else if( desc_Y[NB_] != desc_X[MB_] )
info = -(1100+NB_+1);
}
else if( ( *incy == 1 ) && ( *incy != desc_Y[M_] ) )
{ /* Y is distributed over a process column */
if( ( ixrow != iyrow ) ||
( ( (*ix-1) % desc_X[MB_] ) !=
( (*iy-1) % desc_Y[MB_] ) ) )
info = -9;
else if( desc_Y[MB_] != desc_X[MB_] )
info = -(1100+MB_+1);
}
else
{
info = -12;
}
}
else
{
info = -7;
}
}
if( ictxt != desc_Y[CTXT_] )
info = -(1100+CTXT_+1);
}
}
if( info )
{
pberror_( &ictxt, "PZAXPY", &info );
return;
}
/*
* Quick return if possible.
*/
if( *n == 0 )
return;
/*
* y <- y + alpha * x
*/
if( *n == 1 )
{
if( ( myrow == iyrow ) && ( mycol == iycol ) )
{
if( ( myrow != ixrow ) || ( mycol != ixcol ) )
zgerv2d_( &ictxt, n, n, &tmp, n, &ixrow, &ixcol );
else
tmp = X[iix-1+(jjx-1)*desc_X[LLD_]];
zaxpy_( n, alpha, &tmp, n, &Y[iiy-1+(jjy-1)*desc_Y[LLD_]], n );
}
else if( ( myrow == ixrow ) && ( mycol == ixcol ) )
zgesd2d_( &ictxt, n, n, &X[iix-1+(jjx-1)*desc_X[LLD_]], n,
&iyrow, &iycol );
return;
}
one.re = ONE; one.im = ZERO;
zero.re = ZERO; zero.im = ZERO;
if( ( *incx == desc_X[M_] ) && ( *incy == desc_Y[M_] ) )
{ /* X and Y are both distributed over a process row */
nz = (*jx-1) % desc_Y[NB_];
nn = *n + nz;
nq = numroc_( &nn, &desc_X[NB_], &mycol, &ixcol, &npcol );
if( mycol == ixcol )
nq -= nz;
if( ixrow == iyrow )
{
if( myrow == ixrow )
zaxpy_( &nq, alpha,
&X[iix-1+(jjx-1)*desc_X[LLD_]], &desc_X[LLD_],
&Y[iiy-1+(jjy-1)*desc_Y[LLD_]], &desc_Y[LLD_] );
}
else
{
if( myrow == ixrow )
zgesd2d_( &ictxt, &ione, &nq,
&X[iix-1+(jjx-1)*desc_X[LLD_]], &desc_X[LLD_],
&iyrow, &mycol );
else if( myrow == iyrow )
{
buff = (complex16 *)getpbbuf( "PZAXPY", nq*sizeof(complex16) );
zgerv2d_( &ictxt, &nq, &ione, buff, &ione, &ixrow,
&mycol );
zaxpy_( &nq, alpha, buff, &ione,
&Y[iiy-1+(jjy-1)*desc_Y[LLD_]], &desc_Y[LLD_] );
}
}
}
else if( ( *incx == 1 ) && ( *incx != desc_X[M_] ) &&
( *incy == 1 ) && ( *incy != desc_Y[M_] ) )
{ /* X and Y are both distributed over a process column */
nz = (*ix-1) % desc_X[MB_];
nn = *n + nz;
np = numroc_( &nn, &desc_X[MB_], &myrow, &ixrow, &nprow );
if( myrow == ixrow )
np -= nz;
if( ixcol == iycol )
{
if( mycol == ixcol )
zaxpy_( &np, alpha,
&X[iix-1+(jjx-1)*desc_X[LLD_]], incx,
&Y[iiy-1+(jjy-1)*desc_Y[LLD_]], incy );
}
else
{
if( mycol == ixcol )
zgesd2d_( &ictxt, &np, &ione,
&X[iix-1+(jjx-1)*desc_X[LLD_]], &desc_X[LLD_],
&myrow, &iycol );
else if( mycol == iycol )
{
buff = (complex16 *)getpbbuf( "PZAXPY", np*sizeof(complex16) );
zgerv2d_( &ictxt, &np, &ione, buff, &ione, &myrow,
&ixcol );
zaxpy_( &np, alpha, buff, &ione,
&Y[iiy-1+(jjy-1)*desc_Y[LLD_]], incy );
}
}
}
else /* X and Y are not distributed along the same direction */
{
lcm = ilcm_( &nprow, &npcol );
if( ( *incx == 1 ) && ( *incx != desc_X[M_] ) )
{ /* X is distributed over a process column */
lcmq = lcm / npcol;
nz = (*ix-1) % desc_X[MB_];
nn = *n + nz;
np = numroc_( &nn, &desc_X[MB_], &myrow, &ixrow, &nprow );
nz = (*jy-1) % desc_Y[NB_];
nn = *n + nz;
tmp1 = nn / desc_Y[NB_];
nq0 = MYROC0( tmp1, nn, desc_Y[NB_], npcol );
tmp1 = nq0 / desc_Y[NB_];
wksz = np + MYROC0( tmp1, nq0, desc_Y[NB_], lcmq );
buff = (complex16 *)getpbbuf( "PZAXPY", wksz*sizeof(complex16) );
if( myrow == ixrow )
np -= nz;
if( mycol == ixcol )
{
zcopy_( &np, &X[iix-1+(jjx-1)*desc_X[LLD_]], incx,
buff, incx );
zscal_( &np, alpha, buff, incx );
}
pbztrnv_( &ictxt, C2F_CHAR( "C" ), C2F_CHAR( "T" ), n,
&desc_X[MB_], &nz, buff, incx, &one,
&Y[iiy-1+(jjy-1)*desc_Y[LLD_]], &desc_Y[LLD_],
&ixrow, &ixcol, &iyrow, &iycol, buff+np );
}
else /* Y is distributed over a process column */
{
lcmp = lcm / nprow;
nz = (*iy-1) % desc_Y[MB_];
nn = *n + nz;
tmp1 = nn / desc_Y[MB_];
np = numroc_( &nn, &desc_Y[MB_], &myrow, &iyrow, &nprow );
np0 = MYROC0( tmp1, nn, desc_Y[MB_], nprow );
tmp1 = np0 / desc_Y[MB_];
wksz = MYROC0( tmp1, np0, desc_Y[MB_], lcmp );
wksz = np + wksz;
buff = (complex16 *)getpbbuf( "PZAXPY", wksz*sizeof(complex16) );
pbztrnv_( &ictxt, C2F_CHAR( "R" ), C2F_CHAR( "T" ), n,
&desc_X[NB_], &nz, &X[iix-1+(jjx-1)*desc_X[LLD_]],
&desc_X[LLD_], &zero, buff, &ione, &ixrow, &ixcol,
&iyrow, &iycol, buff+np );
if( mycol == iycol )
{
if( myrow == iyrow )
np -= nz;
zaxpy_( &np, alpha, buff, &ione,
&Y[iiy-1+(jjy-1)*desc_Y[LLD_]], incy );
}
}
}
}
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