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ScaLAPACK
2.0.2
ScaLAPACK: Scalable Linear Algebra PACKage
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ScaLAPACK
2.0.2
ScaLAPACK: Scalable Linear Algebra PACKage
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#include "../pblas.h"#include "../PBpblas.h"#include "../PBtools.h"#include "../PBblacs.h"#include "../PBblas.h"Go to the source code of this file.
Functions/Subroutines | |
| void | PB_Cpdot11 (PBTYP_T *TYPE, int N, char *DOT, char *X, int IX, int JX, int *DESCX, int INCX, char *Y, int IY, int JY, int *DESCY, int INCY, VVDOT_T FDOT) |
| void PB_Cpdot11 | ( | PBTYP_T * | TYPE, |
| int | N, | ||
| char * | DOT, | ||
| char * | X, | ||
| int | IX, | ||
| int | JX, | ||
| int * | DESCX, | ||
| int | INCX, | ||
| char * | Y, | ||
| int | IY, | ||
| int | JY, | ||
| int * | DESCY, | ||
| int | INCY, | ||
| VVDOT_T | FDOT | ||
| ) |
Definition at line 25 of file PB_Cpdot11.c.
{
/*
* Purpose
* =======
*
* PB_Cpdot11 forms the dot product of two subvectors,
*
* DOT := sub( X )**T * sub( Y ) or DOT := sub( X )**H * sub( Y ),
*
* 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, and,
*
* 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.
*
* One subvector at least is assumed to be degenerated.
*
* 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
* =========
*
* 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).
*
* N (global input) INTEGER
* On entry, N specifies the length of the subvectors to be
* multiplied. N must be at least zero.
*
* DOT (local output) pointer to CHAR
* On exit, DOT specifies the dot product of the two subvectors
* sub( X ) and sub( Y ) only in their scope (See below for fur-
* ther details).
*
* X (local input) pointer to CHAR
* 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.
*
* Y (local input) pointer to CHAR
* On entry, Y is an array of dimension (LLD_Y, Ky), where LLD_Y
* is at least MAX( 1, Lr( 1, IY ) ) when INCY = M_Y and
* MAX( 1, Lr( 1, IY+N-1 ) ) otherwise, and, Ky is at least
* Lc( 1, JY+N-1 ) when INCY = M_Y and Lc( 1, JY ) otherwise.
* Before entry, this array contains the local entries of the
* matrix Y.
*
* IY (global input) INTEGER
* On entry, IY specifies Y's global row index, which points to
* the beginning of the submatrix sub( Y ).
*
* JY (global input) INTEGER
* On entry, JY specifies Y's global column index, which points
* to the beginning of the submatrix sub( Y ).
*
* DESCY (global and local input) INTEGER array
* On entry, DESCY is an integer array of dimension DLEN_. This
* is the array descriptor for the matrix Y.
*
* INCY (global input) INTEGER
* On entry, INCY specifies the global increment for the
* elements of Y. Only two values of INCY are supported in
* this version, namely 1 and M_Y. INCY must not be zero.
*
* FDOT (local input) pointer to a function of type VVDOT
* On entry, FDOT points to a subroutine that computes the local
* dot product of two vectors.
*
* Further Details
* ===============
*
* When the result of a vector-oriented PBLAS call is a scalar, this
* scalar is set only within the process scope which owns the vector(s)
* being operated on. Let sub( X ) be a generic term for the input vec-
* tor(s). Then, the processes owning the correct the answer is determi-
* ned as follows: if an operation involves more than one vector, the
* processes receiving the result will be the union of the following set
* of processes for each vector:
*
* If N = 1, M_X = 1 and INCX = 1, then one cannot determine if a pro-
* cess row or process column owns the vector operand, therefore only
* the process owning sub( X ) receives the correct result;
*
* If INCX = M_X, then sub( X ) is a vector distributed over a process
* row. Each process in this row receives the result;
*
* If INCX = 1, then sub( X ) is a vector distributed over a process
* column. Each process in this column receives the result;
*
* -- Written on April 1, 1998 by
* Antoine Petitet, University of Tennessee, Knoxville 37996, USA.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Scalars ..
*/
char Xscope, Yscope, * top;
int RRorCC, Xcol, Xii, XisD, XisOne, XisR, XisRow, Xjj, Xld,
Xlinc, XmyprocD, XmyprocR, XprocD, XprocR, Xrow, Ycol, Yii,
YisD, YisOne, YisR, YisRow, Yjj, YmyprocD, YmyprocR, YprocD,
YprocR, Yrow, cdst, ctxt, ione=1, mycol, myrow, npcol, nprow,
rdst;
/*
* .. Local Arrays ..
*/
int dbuf[DLEN_];
char * buf = NULL;
/* ..
* .. Executable Statements ..
*
*/
/*
* Retrieve process grid information
*/
Cblacs_gridinfo( ( ctxt = DESCX[ CTXT_ ] ), &nprow, &npcol, &myrow, &mycol );
/*
* Retrieve sub( X )'s local information: Xii, Xjj, Xrow, Xcol ...
*/
PB_Cinfog2l( IX, JX, DESCX, nprow, npcol, myrow, mycol, &Xii, &Xjj,
&Xrow, &Xcol );
if( ( XisRow = ( INCX == DESCX[ M_ ] ) ) != 0 )
{
Xld = DESCX[ LLD_ ]; Xlinc = Xld;
XprocD = Xcol; XmyprocD = mycol; XprocR = Xrow; XmyprocR = myrow;
XisR = ( ( Xrow == -1 ) || ( nprow == 1 ) );
XisD = ( ( Xcol >= 0 ) && ( npcol > 1 ) );
}
else
{
Xld = DESCX[ LLD_ ]; Xlinc = 1;
XprocD = Xrow; XmyprocD = myrow; XprocR = Xcol; XmyprocR = mycol;
XisR = ( ( Xcol == -1 ) || ( npcol == 1 ) );
XisD = ( ( Xrow >= 0 ) && ( nprow > 1 ) );
}
XisOne = ( ( N == 1 ) && ( DESCX[ M_ ] == 1 ) );
/*
* Retrieve sub( Y )'s local information: Yii, Yjj, Yrow, Ycol ...
*/
PB_Cinfog2l( IY, JY, DESCY, nprow, npcol, myrow, mycol, &Yii, &Yjj,
&Yrow, &Ycol );
if( ( YisRow = ( INCY == DESCY[ M_ ] ) ) != 0 )
{
YprocD = Ycol; YmyprocD = mycol; YprocR = Yrow; YmyprocR = myrow;
YisR = ( ( Yrow == -1 ) || ( nprow == 1 ) );
YisD = ( ( Ycol >= 0 ) && ( npcol > 1 ) );
}
else
{
YprocD = Yrow; YmyprocD = myrow; YprocR = Ycol; YmyprocR = mycol;
YisR = ( ( Ycol == -1 ) || ( npcol == 1 ) );
YisD = ( ( Yrow >= 0 ) && ( nprow > 1 ) );
}
YisOne = ( ( N == 1 ) && ( DESCY[ M_ ] == 1 ) );
/*
* Are sub( X ) and sub( Y ) both row or column vectors ?
*/
RRorCC = ( ( XisRow && YisRow ) || ( !( XisRow ) && !( YisRow ) ) );
/*
* Copy sub( Y ) in sub( X )'s scope
*/
PB_Cdescset( dbuf, 1, 1, 1, 1, 1, 1, Xrow, Xcol, ctxt, 1 );
buf = PB_Cmalloc( TYPE->size );
PB_Cpaxpby( TYPE, NOCONJG, 1, 1, TYPE->one, Y, IY, JY, DESCY, ( YisRow ?
ROW : COLUMN ), TYPE->zero, buf, 0, 0, dbuf, ( XisRow ? ROW :
COLUMN ) );
/*
* Compute the dot product in sub( X )'s scope
*/
if( XisR || ( XmyprocR == XprocR ) )
{
if( ( XisD && ( XmyprocD == XprocD ) ) || ( !XisD ) )
FDOT( &ione, DOT, Mptr( X, Xii, Xjj, Xld, TYPE->size ), &Xlinc, buf,
&ione );
if( XisD && !XisOne )
{
Xscope = ( XisRow ? CROW : CCOLUMN );
top = PB_Ctop( &ctxt, COMBINE, &Xscope, TOP_GET );
TYPE->Cgsum2d( ctxt, &Xscope, top, 1, 1, DOT, 1, -1, 0 );
}
}
if( buf ) free( buf );
/*
* sub( X ) or sub( Y ) is a degenerated vector
*/
if( XisD && XisOne )
{
/*
* Since XisOne, sub( X ) must be a row vector
*/
if( XisR )
{
/*
* sub( X ) resides in one process column ( *, XprocD )
*/
if( RRorCC )
{
/*
* sub( Y ) is a row vector as well
*/
if( YisR || YmyprocR == YprocR )
{
/*
* I am a process row owning sub( Y )
*/
if( YisD && YisOne )
{
/*
* sub( Y ) resides in a process column ( *, YprocD )
*/
if( XprocD != YprocD )
{
if( XmyprocD == XprocD )
TYPE->Cgesd2d( ctxt, 1, 1, DOT, 1, XmyprocR, YprocD );
else if( YmyprocD == YprocD )
TYPE->Cgerv2d( ctxt, 1, 1, DOT, 1, XmyprocR, XprocD );
}
}
else
{
/*
* Every process in those rows needs the answer
*/
top = PB_Ctop( &ctxt, BCAST, ROW, TOP_GET );
if( XmyprocD == XprocD )
TYPE->Cgebs2d( ctxt, ROW, top, 1, 1, DOT, 1 );
else
TYPE->Cgebr2d( ctxt, ROW, top, 1, 1, DOT, 1, XmyprocR,
XprocD );
}
}
}
else
{
/*
* sub( Y ) is a column vector
*/
if( YisR )
{
/*
* sub( Y ) resides in every process column
*/
top = PB_Ctop( &ctxt, BCAST, ROW, TOP_GET );
if( XmyprocD == XprocD )
TYPE->Cgebs2d( ctxt, ROW, top, 1, 1, DOT, 1 );
else
TYPE->Cgebr2d( ctxt, ROW, top, 1, 1, DOT, 1, XmyprocR,
XprocD );
}
else if( XprocD != YprocR )
{
/*
* sub( Y ) resides in process column YprocR
*/
if( XmyprocD == XprocD )
TYPE->Cgesd2d( ctxt, 1, 1, DOT, 1, XmyprocR, YprocR );
if( YmyprocR == YprocR )
TYPE->Cgerv2d( ctxt, 1, 1, DOT, 1, XmyprocR, XprocD );
}
}
}
else
{
/*
* sub( X ) resides in one process ( XprocR, XprocD )
*/
if( YisD && YisOne )
{
/*
* sub( Y ) resides in one process ( YprocR, YprocD ) if it is not replicated,
* and in one process column ( *, YprocD ) otherwise
*/
if( ( XprocD != YprocD ) || ( !YisR && ( XprocR != YprocR ) ) )
{
/*
* ( XprocR, XprocD ) sends DOT to ( YprocR, YprocD ) if sub( Y ) is not repli-
* cated, and to ( XprocR, YprocD ) otherwise
*/
rdst = ( YisR ? XprocR : YprocR );
if( ( XmyprocR == XprocR ) && ( XmyprocD == XprocD ) )
TYPE->Cgesd2d( ctxt, 1, 1, DOT, 1, rdst, YprocD );
if( ( YmyprocR == rdst ) && ( YmyprocD == YprocD ) )
TYPE->Cgerv2d( ctxt, 1, 1, DOT, 1, XprocR, XprocD );
}
if( YisR && ( YmyprocD == YprocD ) )
{
/*
* Broadcast DOT within process column owning sub( Y )
*/
top = PB_Ctop( &ctxt, BCAST, COLUMN, TOP_GET );
if( XmyprocR == XprocR )
TYPE->Cgebs2d( ctxt, COLUMN, top, 1, 1, DOT, 1 );
else
TYPE->Cgebr2d( ctxt, COLUMN, top, 1, 1, DOT, 1, XprocR,
YprocD );
}
}
else if( !YisR )
{
/*
* sub( Y ) resides in one process row or column
*/
if( YisRow ) { Yscope = CROW; rdst = YprocR; cdst = XprocD; }
else { Yscope = CCOLUMN; rdst = XprocR; cdst = YprocR; }
/*
* ( XprocR, XprocD ) sends DOT to ( YprocR, XprocD ) if sub( Y ) is a row
* vector and to ( XprocR, YprocR ) otherwise. If RRorCC, then YisRow and the
* send occurs iff XprocR != YprocR; Otherwise !YisRow, and the send occurs
* iff XprocD is not YprocR.
*/
if( ( RRorCC && ( XprocR != YprocR ) ) ||
( !( RRorCC ) && ( XprocD != YprocR ) ) )
{
if( ( XmyprocR == XprocR ) && ( XmyprocD == XprocD ) )
TYPE->Cgesd2d( ctxt, 1, 1, DOT, 1, rdst, cdst );
if( ( myrow == rdst ) && ( mycol == cdst ) )
TYPE->Cgerv2d( ctxt, 1, 1, DOT, 1, XprocR, XprocD );
}
/*
* Broadcast the result in sub( Y )'s scope
*/
if( ( myrow == rdst ) && ( mycol == cdst ) )
{
top = PB_Ctop( &ctxt, BCAST, &Yscope, TOP_GET );
TYPE->Cgebs2d( ctxt, &Yscope, top, 1, 1, DOT, 1 );
}
else if( ( YisRow && ( myrow == rdst ) ) ||
( !( YisRow ) && ( mycol == cdst ) ) )
{
top = PB_Ctop( &ctxt, BCAST, &Yscope, TOP_GET );
TYPE->Cgebr2d( ctxt, &Yscope, top, 1, 1, DOT, 1, rdst, cdst );
}
}
else
{
/*
* Every process in the grid needs the answer
*/
top = PB_Ctop( &ctxt, BCAST, ALL, TOP_GET );
if( ( XmyprocR == XprocR ) && ( XmyprocD == XprocD ) )
{
TYPE->Cgebs2d( ctxt, ALL, top, 1, 1, DOT, 1 );
}
else
{
TYPE->Cgebr2d( ctxt, ALL, top, 1, 1, DOT, 1, XprocR, XprocD );
}
}
}
}
else
{
/*
* If XisR, then the result has already been sent in every process of the grid
*/
if( XisR ) return;
if( RRorCC )
{
/*
* If YisD && YisOne => YisRow => XisRow, communication orthogonal to sub( X )'s
* direction: only process column YprocD is involved.
*/
if( YisD && YisOne && ( YmyprocD != YprocD ) ) return;
if( YisR )
{
/*
* YisR and sub( Y ) is // to sub( X ) => bcast orthogonal to sub( X ) direction
*/
if( XisRow )
{
top = PB_Ctop( &ctxt, BCAST, COLUMN, TOP_GET );
if( XmyprocR == XprocR )
TYPE->Cgebs2d( ctxt, COLUMN, top, 1, 1, DOT, 1 );
else
TYPE->Cgebr2d( ctxt, COLUMN, top, 1, 1, DOT, 1, XprocR,
XmyprocD );
}
else
{
top = PB_Ctop( &ctxt, BCAST, ROW, TOP_GET );
if( XmyprocR == XprocR )
TYPE->Cgebs2d( ctxt, ROW, top, 1, 1, DOT, 1 );
else
TYPE->Cgebr2d( ctxt, ROW, top, 1, 1, DOT, 1, XmyprocD,
XprocR );
}
}
else if( XprocR != YprocR )
{
/*
* Send from one column/row to another if they differ
*/
if( XisRow )
{
if( XmyprocR == XprocR )
TYPE->Cgesd2d( ctxt, 1, 1, DOT, 1, YprocR, YmyprocD );
if( YmyprocR == YprocR )
TYPE->Cgerv2d( ctxt, 1, 1, DOT, 1, XprocR, XmyprocD );
}
else
{
if( XmyprocR == XprocR )
TYPE->Cgesd2d( ctxt, 1, 1, DOT, 1, YmyprocD, YprocR );
if( YmyprocR == YprocR )
TYPE->Cgerv2d( ctxt, 1, 1, DOT, 1, XmyprocD, XprocR );
}
}
}
else
{
/*
* If XisRow then !YisRow and thus bcast result in all rows if YisR or in
* process row YprocR otherwise. If !YisD || ( YisD && !YisOne ), then result
* should be sent in the same processes because they span a row or a column of
* the grid.
*/
if( XisRow || !( YisD ) || ( YisD && !( YisOne ) ) )
{
if( YisR || YmyprocR == YprocR )
{
if( XisRow )
{
top = PB_Ctop( &ctxt, BCAST, COLUMN, TOP_GET );
if( XmyprocR == XprocR )
TYPE->Cgebs2d( ctxt, COLUMN, top, 1, 1, DOT, 1 );
else
TYPE->Cgebr2d( ctxt, COLUMN, top, 1, 1, DOT, 1, XprocR,
XmyprocD );
}
else
{
top = PB_Ctop( &ctxt, BCAST, ROW, TOP_GET );
if( XmyprocR == XprocR )
TYPE->Cgebs2d( ctxt, ROW, top, 1, 1, DOT, 1 );
else
TYPE->Cgebr2d( ctxt, ROW, top, 1, 1, DOT, 1, XmyprocD,
XprocR );
}
}
}
else if( XprocR != YprocD )
{
/*
* YisD && YisOne => YisRow => !XisRow, so the column of processes owning
* sub( X ) send the result to the column YprocD. The process rows involved
* in the operation depend on YisR.
*/
if( YisR || YmyprocR == YprocR )
{
if( XmyprocR == XprocR )
{
TYPE->Cgesd2d( ctxt, 1, 1, DOT, 1, YmyprocR, YprocD );
}
if( YmyprocD == YprocD )
{
TYPE->Cgerv2d( ctxt, 1, 1, DOT, 1, YmyprocR, XprocR );
}
}
}
}
}
/*
* End of PB_Cpdot11
*/
}
