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|
PROGRAM PSLSDRIVER
*
* -- ScaLAPACK routine (version 1.7) --
* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
* and University of California, Berkeley.
* May 28, 2001
*
* Purpose
* =======
*
* PSLSDRIVER is the main test program for the REAL
* SCALAPACK (full rank) Least Squares routines. This test driver solves
* full-rank least square problems.
*
* The program must be driven by a short data file. An annotated
* example of a data file can be obtained by deleting the first 3
* characters from the following 17 lines:
* 'ScaLapack LS solve input file'
* 'Intel iPSC/860 hypercube, gamma model.'
* 'LS.out' output file name (if any)
* 6 device out
* 4 number of problems sizes
* 55 17 31 201 values of M
* 5 71 31 201 values of N
* 3 number of NB's
* 2 3 5 values of NB
* 3 number of NRHS's
* 2 3 5 values of NRHS
* 2 number of NBRHS's
* 1 2 values of NBRHS
* 7 number of process grids (ordered P & Q)
* 1 2 1 4 2 3 8 values of P
* 7 2 4 1 3 2 1 values of Q
* 3.0 threshold
*
* Internal Parameters
* ===================
*
* TOTMEM INTEGER, default = 6200000.
* TOTMEM is a machine-specific parameter indicating the
* maximum amount of available memory in bytes.
* The user should customize TOTMEM to his platform. Remember
* to leave room in memory for the operating system, the BLACS
* buffer, etc. For example, on a system with 8 MB of memory
* per process (e.g., one processor on an Intel iPSC/860), the
* parameters we use are TOTMEM=6200000 (leaving 1.8 MB for OS,
* code, BLACS buffer, etc). However, for PVM, we usually set
* TOTMEM = 2000000. Some experimenting with the maximum value
* of TOTMEM may be required.
* INTGSZ INTEGER, default = 4 bytes.
* REALSZ INTEGER, default = 4 bytes.
* INTGSZ and REALSZ indicate the length in bytes on the
* given platform for an integer and a single precision real.
* MEM REAL array, dimension ( TOTMEM / REALSZ )
* All arrays used by SCALAPACK routines are allocated from
* this array and referenced by pointers. The integer IPA,
* for example, is a pointer to the starting element of MEM for
* the matrix A.
*
* =====================================================================
*
* .. Parameters ..
INTEGER BLOCK_CYCLIC_2D, CSRC_, CTXT_, DLEN_, DTYPE_,
$ LLD_, MB_, M_, NB_, N_, RSRC_
PARAMETER ( BLOCK_CYCLIC_2D = 1, DLEN_ = 9, DTYPE_ = 1,
$ CTXT_ = 2, M_ = 3, N_ = 4, MB_ = 5, NB_ = 6,
$ RSRC_ = 7, CSRC_ = 8, LLD_ = 9 )
INTEGER MEMSIZ, NTESTS, REALSZ, TOTMEM
REAL PADVAL
REAL ONE, ZERO
PARAMETER ( REALSZ = 4, TOTMEM = 2000000,
$ MEMSIZ = TOTMEM / REALSZ, NTESTS = 20,
$ PADVAL = -9923.0E+0 )
PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 )
* ..
* .. Local Scalars ..
LOGICAL CHECK, TPSD
CHARACTER TRANS
CHARACTER*6 PASSED
CHARACTER*80 OUTFILE
INTEGER HH, I, IAM, IASEED, IBSEED, ICTXT, II, IMIDPAD,
$ INFO, IPA, IPB, IPOSTPAD, IPREPAD, IPW, IPW2,
$ IPX, ISCALE, ITRAN, ITYPE, J, JJ, K, KFAIL, KK,
$ KPASS, KSKIP, KTESTS, LCM, LCMP, LTAU, LWF,
$ LWORK, LWS, M, MNP, MNRHSP, MP, MQ, MYCOL,
$ MYROW, N, NB, NBRHS, NCOLS, NGRIDS, NMAT, NNB,
$ NNBR, NNR, NNRHSQ, NOUT, NP, NPCOL, NPROCS,
$ NPROW, NROWS, NQ, NRHS, NRHSP, NRHSQ, WORKSIZ
REAL ANORM, BNORM, SRESID, THRESH
DOUBLE PRECISION ADDFAC, ADDS, MULFAC, MULTS, NOPS, TMFLOPS
* ..
* .. Local Arrays ..
INTEGER DESCA( DLEN_ ), DESCB( DLEN_ ), DESCW( LLD_ ),
$ DESCX( DLEN_ ), IERR( 2 ), MVAL( NTESTS ),
$ NBRVAL( NTESTS ), NBVAL( NTESTS ),
$ NRVAL( NTESTS ), NVAL( NTESTS ),
$ PVAL( NTESTS ), QVAL( NTESTS )
REAL MEM( MEMSIZ ), RESULT( 2 )
DOUBLE PRECISION CTIME( 1 ), WTIME( 1 )
* ..
* .. External Subroutines ..
EXTERNAL BLACS_BARRIER, BLACS_EXIT, BLACS_GET,
$ BLACS_GRIDEXIT, BLACS_GRIDINFO, BLACS_GRIDINIT,
$ BLACS_PINFO, DESCINIT, IGSUM2D, PSCHEKPAD,
$ PSFILLPAD, PSGELS, PSGEMM, PSLACPY,
$ PSLSINFO, PSMATGEN, PSNRM2, PSSCAL,
$ PSQRT13, PSQRT16, SLBOOT, SLCOMBINE, SLTIMER
* ..
* .. External Functions ..
LOGICAL LSAME
INTEGER ICEIL, ILCM, NUMROC
REAL PSLANGE, PSQRT14, PSQRT17
EXTERNAL ICEIL, ILCM, LSAME, NUMROC, PSLANGE,
$ PSQRT14, PSQRT17
* ..
* .. Intrinsic Functions ..
INTRINSIC MAX, MIN
* ..
* .. Data Statements ..
DATA KTESTS, KPASS, KFAIL, KSKIP / 4*0 /
* ..
* .. Executable Statements ..
*
* Get starting information
*
CALL BLACS_PINFO( IAM, NPROCS )
*
IASEED = 100
IBSEED = 200
CALL PSLSINFO( OUTFILE, NOUT, NMAT, MVAL, NTESTS, NVAL,
$ NTESTS, NNB, NBVAL, NTESTS, NNR, NRVAL, NTESTS,
$ NNBR, NBRVAL, NTESTS, NGRIDS, PVAL, NTESTS, QVAL,
$ NTESTS, THRESH, MEM, IAM, NPROCS )
CHECK = ( THRESH.GE.0.0E+0 )
*
* Print headings
*
IF( IAM.EQ.0 ) THEN
WRITE( NOUT, FMT = * )
WRITE( NOUT, FMT = 9995 )
WRITE( NOUT, FMT = 9994 )
WRITE( NOUT, FMT = * )
END IF
*
* Loop over different process grids
*
DO 90 I = 1, NGRIDS
*
NPROW = PVAL( I )
NPCOL = QVAL( I )
*
* Make sure grid information is correct
*
IERR( 1 ) = 0
IF( NPROW.LT.1 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9999 ) 'GRID', 'nprow', NPROW
IERR( 1 ) = 1
ELSE IF( NPCOL.LT.1 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9999 ) 'GRID', 'npcol', NPCOL
IERR( 1 ) = 1
ELSE IF( NPROW*NPCOL.GT.NPROCS ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9998 ) NPROW*NPCOL, NPROCS
IERR( 1 ) = 1
END IF
*
IF( IERR( 1 ).GT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 ) 'grid'
KSKIP = KSKIP + 1
GO TO 90
END IF
*
* Define process grid
*
CALL BLACS_GET( -1, 0, ICTXT )
CALL BLACS_GRIDINIT( ICTXT, 'Row-major', NPROW, NPCOL )
CALL BLACS_GRIDINFO( ICTXT, NPROW, NPCOL, MYROW, MYCOL )
*
* Go to bottom of loop if this case doesn't use my process
*
IF( ( MYROW.GE.NPROW ).OR.( MYCOL.GE.NPCOL ) )
$ GO TO 90
*
DO 80 J = 1, NMAT
*
M = MVAL( J )
N = NVAL( J )
*
* Make sure matrix information is correct
*
IERR( 1 ) = 0
IF( M.LT.1 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9999 ) 'MATRIX', 'M', M
IERR( 1 ) = 1
ELSE IF( N.LT.1 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9999 ) 'MATRIX', 'N', N
IERR( 1 ) = 1
END IF
*
* Make sure no one had error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1, IERR, 1, -1, 0 )
*
IF( IERR( 1 ).GT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 ) 'matrix'
KSKIP = KSKIP + 1
GO TO 80
END IF
*
* Loop over different blocking sizes
*
DO 70 K = 1, NNB
*
NB = NBVAL( K )
*
* Make sure nb is legal
*
IERR( 1 ) = 0
IF( NB.LT.1 ) THEN
IERR( 1 ) = 1
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9999 ) 'NB', 'NB', NB
END IF
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1, IERR, 1, -1, 0 )
*
IF( IERR( 1 ).GT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 ) 'NB'
KSKIP = KSKIP + 1
GO TO 70
END IF
*
* Padding constants
*
MP = NUMROC( M, NB, MYROW, 0, NPROW )
MQ = NUMROC( M, NB, MYCOL, 0, NPCOL )
NP = NUMROC( N, NB, MYROW, 0, NPROW )
MNP = MAX( MP, NP )
NQ = NUMROC( N, NB, MYCOL, 0, NPCOL )
*
IF( CHECK ) THEN
IPREPAD = MAX( NB, MP )
IMIDPAD = NB
IPOSTPAD = MAX( NB, NQ )
ELSE
IPREPAD = 0
IMIDPAD = 0
IPOSTPAD = 0
END IF
*
* Initialize the array descriptor for the matrix A
*
CALL DESCINIT( DESCA, M, N, NB, NB, 0, 0, ICTXT,
$ MAX( 1, MP ) + IMIDPAD, IERR( 1 ) )
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1, IERR, 1, -1, 0 )
*
IF( IERR( 1 ).LT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 ) 'descriptor'
KSKIP = KSKIP + 1
GO TO 70
END IF
*
DO 60 ISCALE = 1, 3
*
ITYPE = ISCALE
*
* Assign pointers into MEM for SCALAPACK arrays, A is
* allocated starting at position MEM( IPREPAD+1 )
*
IPA = IPREPAD + 1
IPX = IPA + DESCA( LLD_ )*NQ + IPOSTPAD + IPREPAD
IPW = IPX
*
WORKSIZ = NQ + IPOSTPAD
*
* Check for adequate memory for problem size
*
IERR( 1 ) = 0
IF( ( IPW+WORKSIZ ).GT.MEMSIZ ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 ) 'MEMORY',
$ ( IPX+WORKSIZ )*REALSZ
IERR( 1 ) = 1
END IF
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1, IERR, 1, -1,
$ 0 )
*
IF( IERR( 1 ).GT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 ) 'MEMORY'
KSKIP = KSKIP + 1
GO TO 70
END IF
*
IF( CHECK ) THEN
CALL PSFILLPAD( ICTXT, MP, NQ, MEM( IPA-IPREPAD ),
$ DESCA( LLD_ ), IPREPAD, IPOSTPAD,
$ PADVAL )
CALL PSFILLPAD( ICTXT, WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ),
$ WORKSIZ-IPOSTPAD, IPREPAD,
$ IPOSTPAD, PADVAL )
END IF
*
* Generate the matrix A and calculate its 1-norm
*
CALL PSQRT13( ISCALE, M, N, MEM( IPA ), 1, 1,
$ DESCA, ANORM, IASEED, MEM( IPW ) )
*
IF( CHECK ) THEN
CALL PSCHEKPAD( ICTXT, 'PSQRT13', MP, NQ,
$ MEM( IPA-IPREPAD ), DESCA( LLD_ ),
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PSCHEKPAD( ICTXT, 'PSQRT13',
$ WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ),
$ WORKSIZ-IPOSTPAD, IPREPAD,
$ IPOSTPAD, PADVAL )
END IF
*
DO 50 ITRAN = 1, 2
*
IF( ITRAN.EQ.1 ) THEN
NROWS = M
NCOLS = N
TRANS = 'N'
TPSD = .FALSE.
ELSE
NROWS = N
NCOLS = M
TRANS = 'T'
TPSD = .TRUE.
END IF
*
* Loop over the different values for NRHS
*
DO 40 HH = 1, NNR
*
NRHS = NRVAL( HH )
*
DO 30 KK = 1, NNBR
*
NBRHS = NBRVAL( KK )
*
NRHSP = NUMROC( NRHS, NBRHS, MYROW, 0,
$ NPROW )
NRHSQ = NUMROC( NRHS, NBRHS, MYCOL, 0,
$ NPCOL )
*
* Define Array descriptor for rhs MAX(M,N)xNRHS
*
CALL DESCINIT( DESCX, MAX( M, N ), NRHS, NB,
$ NBRHS, 0, 0, ICTXT,
$ MAX( 1, MNP ) + IMIDPAD,
$ IERR( 1 ) )
IF( TPSD ) THEN
CALL DESCINIT( DESCW, M, NRHS, NB, NBRHS,
$ 0, 0, ICTXT, MAX( 1, MP ) +
$ IMIDPAD, IERR( 2 ) )
ELSE
CALL DESCINIT( DESCW, N, NRHS, NB, NBRHS,
$ 0, 0, ICTXT, MAX( 1, NP ) +
$ IMIDPAD, IERR( 2 ) )
END IF
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 2, 1, IERR,
$ 2, -1, 0 )
*
IF( IERR( 1 ).LT.0 .OR. IERR( 2 ).LT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 ) 'descriptor'
KSKIP = KSKIP + 1
GO TO 30
END IF
*
* Check for enough memory
*
IPX = IPA + DESCA( LLD_ )*NQ + IPOSTPAD +
$ IPREPAD
IPW = IPX + DESCX( LLD_ )*NRHSQ + IPOSTPAD +
$ IPREPAD
WORKSIZ = DESCW( LLD_ )*NRHSQ + IPOSTPAD
*
IERR( 1 ) = 0
IF( IPW+WORKSIZ.GT.MEMSIZ ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 ) 'Generation',
$ ( IPW+WORKSIZ )*REALSZ
IERR( 1 ) = 1
END IF
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1, IERR,
$ 1, -1, 0 )
*
IF( IERR( 1 ).GT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 ) 'MEMORY'
KSKIP = KSKIP + 1
GO TO 30
END IF
*
* Generate RHS
*
IF( TPSD ) THEN
CALL PSMATGEN( ICTXT, 'No', 'No',
$ DESCW( M_ ), DESCW( N_ ),
$ DESCW( MB_ ), DESCW( NB_ ),
$ MEM( IPW ), DESCW( LLD_ ),
$ DESCW( RSRC_ ),
$ DESCW( CSRC_ ), IBSEED, 0,
$ MP, 0, NRHSQ, MYROW, MYCOL,
$ NPROW, NPCOL )
ELSE
CALL PSMATGEN( ICTXT, 'No', 'No',
$ DESCW( M_ ), DESCW( N_ ),
$ DESCW( MB_ ), DESCW( NB_ ),
$ MEM( IPW ), DESCW( LLD_ ),
$ DESCW( RSRC_ ),
$ DESCW( CSRC_ ), IBSEED, 0,
$ NP, 0, NRHSQ, MYROW, MYCOL,
$ NPROW, NPCOL )
END IF
*
IF( CHECK ) THEN
CALL PSFILLPAD( ICTXT, MNP, NRHSQ,
$ MEM( IPX-IPREPAD ),
$ DESCX( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
IF( TPSD ) THEN
CALL PSFILLPAD( ICTXT, MP, NRHSQ,
$ MEM( IPW-IPREPAD ),
$ DESCW( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
ELSE
CALL PSFILLPAD( ICTXT, NP, NRHSQ,
$ MEM( IPW-IPREPAD ),
$ DESCW( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
END IF
END IF
*
DO 10 JJ = 1, NRHS
CALL PSNRM2( NCOLS, BNORM, MEM( IPW ), 1,
$ JJ, DESCW, 1 )
IF( BNORM.GT.ZERO )
$ CALL PSSCAL( NCOLS, ONE / BNORM,
$ MEM( IPW ), 1, JJ, DESCW,
$ 1 )
10 CONTINUE
*
CALL PSGEMM( TRANS, 'N', NROWS, NRHS, NCOLS,
$ ONE, MEM( IPA ), 1, 1, DESCA,
$ MEM( IPW ), 1, 1, DESCW, ZERO,
$ MEM( IPX ), 1, 1, DESCX )
*
IF( CHECK ) THEN
*
* check for memory overwrite
*
CALL PSCHEKPAD( ICTXT, 'Generation', MP,
$ NQ, MEM( IPA-IPREPAD ),
$ DESCA( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
CALL PSCHEKPAD( ICTXT, 'Generation', MNP,
$ NRHSQ, MEM( IPX-IPREPAD ),
$ DESCX( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
IF( TPSD ) THEN
CALL PSCHEKPAD( ICTXT, 'Generation',
$ MP, NRHSQ,
$ MEM( IPW-IPREPAD ),
$ DESCW( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
ELSE
CALL PSCHEKPAD( ICTXT, 'Generation',
$ NP, NRHSQ,
$ MEM( IPW-IPREPAD ),
$ DESCW( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
END IF
*
* Allocate space for copy of rhs
*
IPB = IPW
*
IF( TPSD ) THEN
CALL DESCINIT( DESCB, N, NRHS, NB,
$ NBRHS, 0, 0, ICTXT,
$ MAX( 1, NP ) + IMIDPAD,
$ IERR( 1 ) )
ELSE
CALL DESCINIT( DESCB, M, NRHS, NB,
$ NBRHS, 0, 0, ICTXT,
$ MAX( 1, MP ) + IMIDPAD,
$ IERR( 1 ) )
END IF
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1,
$ IERR, 1, -1, 0 )
*
IF( IERR( 1 ).LT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 )
$ 'descriptor'
KSKIP = KSKIP + 1
GO TO 30
END IF
*
IPW = IPB + DESCB( LLD_ )*NRHSQ +
$ IPOSTPAD + IPREPAD
*
END IF
*
* Calculate the amount of workspace for PSGELS
*
IF( M.GE.N ) THEN
LTAU = NUMROC( MIN(M,N), NB, MYCOL, 0,
$ NPCOL )
LWF = NB * ( MP + NQ + NB )
LWS = MAX( ( NB*( NB - 1 ) ) / 2,
$ ( MP + NRHSQ ) * NB ) + NB*NB
ELSE
LCM = ILCM( NPROW, NPCOL )
LCMP = LCM / NPROW
LTAU = NUMROC( MIN(M,N), NB, MYROW, 0,
$ NPROW )
LWF = NB * ( MP + NQ + NB )
LWS = MAX( ( NB*( NB - 1 ) ) / 2, ( NP +
$ MAX( NQ + NUMROC( NUMROC( N, NB, 0,
$ 0, NPROW ), NB, 0, 0, LCMP ),
$ NRHSQ ) ) * NB ) + NB*NB
END IF
*
LWORK = LTAU + MAX( LWF, LWS )
WORKSIZ = LWORK + IPOSTPAD
*
* Check for adequate memory for problem size
*
IERR( 1 ) = 0
IF( IPW+WORKSIZ.GT.MEMSIZ ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 ) 'solve',
$ ( IPW+WORKSIZ )*REALSZ
IERR( 1 ) = 1
END IF
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1, IERR,
$ 1, -1, 0 )
*
IF( IERR( 1 ).GT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 ) 'MEMORY'
KSKIP = KSKIP + 1
GO TO 30
END IF
*
IF( CHECK ) THEN
*
* Make the copy of the right hand side
*
CALL PSLACPY( 'All', NROWS, NRHS,
$ MEM( IPX ), 1, 1, DESCX,
$ MEM( IPB ), 1, 1, DESCB )
*
IF( TPSD ) THEN
CALL PSFILLPAD( ICTXT, NP, NRHSQ,
$ MEM( IPB-IPREPAD ),
$ DESCB( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
ELSE
CALL PSFILLPAD( ICTXT, MP, NRHSQ,
$ MEM( IPB-IPREPAD ),
$ DESCB( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
END IF
CALL PSFILLPAD( ICTXT, LWORK, 1,
$ MEM( IPW-IPREPAD ),
$ LWORK, IPREPAD,
$ IPOSTPAD, PADVAL )
END IF
*
CALL SLBOOT( )
CALL BLACS_BARRIER( ICTXT, 'All' )
CALL SLTIMER( 1 )
*
* Solve the LS or overdetermined system
*
CALL PSGELS( TRANS, M, N, NRHS, MEM( IPA ),
$ 1, 1, DESCA, MEM( IPX ), 1, 1,
$ DESCX, MEM( IPW ), LWORK, INFO )
*
CALL SLTIMER( 1 )
*
IF( CHECK ) THEN
*
* check for memory overwrite
*
CALL PSCHEKPAD( ICTXT, 'PSGELS', MP,
$ NQ, MEM( IPA-IPREPAD ),
$ DESCA( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
CALL PSCHEKPAD( ICTXT, 'PSGELS', MNP,
$ NRHSQ, MEM( IPX-IPREPAD ),
$ DESCX( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
CALL PSCHEKPAD( ICTXT, 'PSGELS', LWORK,
$ 1, MEM( IPW-IPREPAD ),
$ LWORK, IPREPAD,
$ IPOSTPAD, PADVAL )
END IF
*
* Regenerate A in place for testing and next
* iteration
*
CALL PSQRT13( ISCALE, M, N, MEM( IPA ), 1, 1,
$ DESCA, ANORM, IASEED,
$ MEM( IPW ) )
*
* check the solution to rhs
*
IF( CHECK ) THEN
*
* Am I going to call PSQRT17 ?
*
IF( ( M.GE.N .AND. ( .NOT.TPSD ) ) .OR.
$ ( M.LT.N .AND. TPSD ) ) THEN
*
* Call PSQRT17 first, A, X, and B remain
* unchanged. Solving LS system
*
* Check amount of memory for PSQRT17
*
IF( TPSD ) THEN
WORKSIZ = NP*NRHSQ + NRHSP*MQ
IPW2 = IPW + WORKSIZ
WORKSIZ = WORKSIZ +
$ MAX( NQ, MAX( MQ, NRHSQ ) ) +
$ IPOSTPAD
ELSE
WORKSIZ = MP*NRHSQ + NRHSP*NQ
IPW2 = IPW + WORKSIZ
WORKSIZ = WORKSIZ +
$ MAX( NQ, NRHSQ ) +
$ IPOSTPAD
END IF
*
* Check for adequate memory for problem
* size
*
IERR( 1 ) = 0
IF( ( IPW+WORKSIZ ).GT.MEMSIZ ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 )
$ 'MEMORY', ( IPW+WORKSIZ )*REALSZ
IERR( 1 ) = 1
END IF
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1,
$ IERR, 1, -1, 0 )
*
IF( IERR( 1 ).GT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 )
$ 'MEMORY'
KSKIP = KSKIP + 1
GO TO 30
END IF
*
CALL PSFILLPAD( ICTXT,
$ WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ),
$ WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD,
$ PADVAL )
*
RESULT( 2 ) = PSQRT17( TRANS, 1, M, N,
$ NRHS,
$ MEM( IPA ),
$ 1, 1, DESCA,
$ MEM( IPX ), 1,
$ 1, DESCX,
$ MEM( IPB ),
$ 1, 1, DESCB,
$ MEM( IPW ),
$ MEM( IPW2 ) )
SRESID = RESULT( 2 )
*
CALL PSCHEKPAD( ICTXT, 'PSQRT17',
$ MP, NQ,
$ MEM( IPA-IPREPAD ),
$ DESCA( LLD_ ),
$ IPREPAD, IPOSTPAD,
$ PADVAL )
CALL PSCHEKPAD( ICTXT, 'PSQRT17',
$ MNP, NRHSQ,
$ MEM( IPX-IPREPAD ),
$ DESCX( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
IF( TPSD ) THEN
CALL PSCHEKPAD( ICTXT, 'PSQRT17',
$ NP, NRHSQ,
$ MEM( IPB-IPREPAD ),
$ DESCB( LLD_ ),
$ IPREPAD, IPOSTPAD,
$ PADVAL )
ELSE
CALL PSCHEKPAD( ICTXT, 'PSQRT17',
$ MP, NRHSQ,
$ MEM( IPB-IPREPAD ),
$ DESCB( LLD_ ),
$ IPREPAD, IPOSTPAD,
$ PADVAL )
END IF
CALL PSCHEKPAD( ICTXT, 'PSQRT17',
$ WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ),
$ WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD,
$ PADVAL )
END IF
*
* Call PSQRT16, B will be destroyed.
*
IF( TPSD ) THEN
WORKSIZ = MP + IPOSTPAD
ELSE
WORKSIZ = NQ + IPOSTPAD
END IF
*
* Check for adequate memory for problem size
*
IERR( 1 ) = 0
IF( ( IPW+WORKSIZ ).GT.MEMSIZ ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 ) 'MEMORY',
$ ( IPW+WORKSIZ )*REALSZ
IERR( 1 ) = 1
END IF
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1,
$ IERR, 1, -1, 0 )
*
IF( IERR( 1 ).GT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 ) 'MEMORY'
KSKIP = KSKIP + 1
GO TO 30
END IF
*
CALL PSFILLPAD( ICTXT,
$ WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ),
$ WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD,
$ PADVAL )
*
CALL PSQRT16( TRANS, M, N, NRHS,
$ MEM( IPA ), 1, 1, DESCA,
$ MEM( IPX ), 1, 1, DESCX,
$ MEM( IPB ), 1, 1, DESCB,
$ MEM( IPW ), RESULT( 1 ) )
*
CALL PSCHEKPAD( ICTXT, 'PSQRT16',
$ MP, NQ,
$ MEM( IPA-IPREPAD ),
$ DESCA( LLD_ ),
$ IPREPAD, IPOSTPAD,
$ PADVAL )
CALL PSCHEKPAD( ICTXT, 'PSQRT16',
$ MNP, NRHSQ,
$ MEM( IPX-IPREPAD ),
$ DESCX( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
IF( TPSD ) THEN
CALL PSCHEKPAD( ICTXT, 'PSQRT16',
$ NP, NRHSQ,
$ MEM( IPB-IPREPAD ),
$ DESCB( LLD_ ),
$ IPREPAD, IPOSTPAD,
$ PADVAL )
ELSE
CALL PSCHEKPAD( ICTXT, 'PSQRT16',
$ MP, NRHSQ,
$ MEM( IPB-IPREPAD ),
$ DESCB( LLD_ ),
$ IPREPAD, IPOSTPAD,
$ PADVAL )
END IF
CALL PSCHEKPAD( ICTXT, 'PSQRT16',
$ WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ),
$ WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD,
$ PADVAL )
*
* Call PSQRT14
*
IF( ( M.GE.N .AND. TPSD ) .OR.
$ ( M.LT.N .AND. ( .NOT.TPSD ) ) ) THEN
*
IPW = IPB
*
IF( TPSD ) THEN
*
NNRHSQ = NUMROC( N+NRHS, NB, MYCOL,
$ 0, NPCOL )
LTAU = NUMROC( MIN( M, N+NRHS ), NB,
$ MYCOL, 0, NPCOL )
LWF = NB * ( NB + MP + NNRHSQ )
WORKSIZ = MP * NNRHSQ + LTAU + LWF +
$ IPOSTPAD
*
ELSE
*
MNRHSP = NUMROC( M+NRHS, NB, MYROW,
$ 0, NPROW )
LTAU = NUMROC( MIN( M+NRHS, N ), NB,
$ MYROW, 0, NPROW )
LWF = NB * ( NB + MNRHSP + NQ )
WORKSIZ = MNRHSP * NQ + LTAU + LWF +
$ IPOSTPAD
*
END IF
*
* Check for adequate memory for problem
* size
*
IERR( 1 ) = 0
IF( ( IPW+WORKSIZ ).GT.MEMSIZ ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 )
$ 'MEMORY', ( IPW+WORKSIZ )*REALSZ
IERR( 1 ) = 1
END IF
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1,
$ IERR, 1, -1, 0 )
*
IF( IERR( 1 ).GT.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 )
$ 'MEMORY'
KSKIP = KSKIP + 1
GO TO 30
END IF
*
CALL PSFILLPAD( ICTXT,
$ WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ),
$ WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD,
$ PADVAL )
*
* Solve underdetermined system
*
RESULT( 2 ) = PSQRT14( TRANS, M, N,
$ NRHS,
$ MEM( IPA ), 1,
$ 1, DESCA,
$ MEM( IPX ),
$ 1, 1, DESCX,
$ MEM( IPW ) )
SRESID = RESULT( 2 )
*
CALL PSCHEKPAD( ICTXT, 'PSQRT14',
$ MP, NQ,
$ MEM( IPA-IPREPAD ),
$ DESCA( LLD_ ),
$ IPREPAD, IPOSTPAD,
$ PADVAL )
CALL PSCHEKPAD( ICTXT, 'PSQRT14',
$ MNP, NRHSQ,
$ MEM( IPX-IPREPAD ),
$ DESCX( LLD_ ), IPREPAD,
$ IPOSTPAD, PADVAL )
CALL PSCHEKPAD( ICTXT, 'PSQRT14',
$ WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ),
$ WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD,
$ PADVAL )
END IF
*
* Print information about the tests that
* did not pass the threshold.
*
PASSED = 'PASSED'
DO 20 II = 1, 2
IF( ( RESULT( II ).GE.THRESH ) .AND.
$ ( RESULT( II )-RESULT( II ).EQ.0.0E+0
$ ) ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9986 )TRANS,
$ M, N, NRHS, NB, ITYPE, II,
$ RESULT( II )
KFAIL = KFAIL + 1
PASSED = 'FAILED'
ELSE
KPASS = KPASS + 1
END IF
20 CONTINUE
*
ELSE
*
* By-pass the solve check
*
KPASS = KPASS + 1
SRESID = SRESID - SRESID
PASSED = 'BYPASS'
*
END IF
*
* Gather maximum of all CPU and WALL clock
* timings
*
CALL SLCOMBINE( ICTXT, 'All', '>', 'W', 1, 1,
$ WTIME )
CALL SLCOMBINE( ICTXT, 'All', '>', 'C', 1, 1,
$ CTIME )
*
* Print results
*
IF( MYROW.EQ.0 .AND. MYCOL.EQ.0 ) THEN
ADDFAC = 1
MULFAC = 1
IF( M.GE.N ) THEN
*
* NOPS = SOPLA( 'SGEQRF', M, N, 0, 0,
* NB ) + SOPLA( 'SORMQR', M, NRHS, N,
* 0, NB )
*
MULTS = N*( ( ( 23.D0 / 6.D0 )+M+N /
$ 2.D0 )+ N*( M-N / 3.D0 ) ) +
$ N*NRHS*( 2.D0*M+2.D0-N )
ADDS = N*( ( 5.D0 / 6.D0 )+N*
$ ( 1.D0 / 2.D0+( M-N / 3.D0 ) ) )
$ + N*NRHS*( 2.D0*M+1.D0-N )
ELSE
*
* NOPS = SOPLA( 'SGELQF', M, N, 0, 0,
* NB ) + SOPLA( 'SORMLQ', M,
* NRHS, N, 0, NB )
*
MULTS = M*( ( ( 29.D0 / 6.D0 )+2.D0*N-M
$ / 2.D0 )+M*( N-M / 3.D0 ) )
$ + N*NRHS*( 2.D0*M+2.D0-N )
ADDS = M*( ( 5.D0 / 6.D0 )+M / 2.D0+M*
$ ( N-M / 3.D0 ) )
$ + N*NRHS*( 2.D0*M+1.D0-N )
END IF
NOPS = ADDFAC*ADDS + MULFAC*MULTS
*
* Calculate total megaflops, for WALL and
* CPU time, and print output
*
* Print WALL time if machine supports it
*
IF( WTIME( 1 ).GT.0.0D+0 ) THEN
TMFLOPS = NOPS / ( WTIME( 1 )*1.0D+6 )
ELSE
TMFLOPS = 0.0D+0
END IF
*
IF( WTIME( 1 ).GE.0.0D+0 )
$ WRITE( NOUT, FMT = 9993 )
$ 'WALL', TRANS, M, N, NB, NRHS,
$ NBRHS, NPROW, NPCOL, WTIME( 1 ),
$ TMFLOPS, PASSED
*
* Print CPU time if machine supports it
*
IF( CTIME( 1 ).GT.0.0D+0 ) THEN
TMFLOPS = NOPS / ( CTIME( 1 )*1.0D+6 )
ELSE
TMFLOPS = 0.0D+0
END IF
*
IF( CTIME( 1 ).GE.0.0D+0 )
$ WRITE( NOUT, FMT = 9993 )
$ 'CPU ', TRANS, M, N, NB, NRHS,
$ NBRHS, NPROW, NPCOL, CTIME( 1 ),
$ TMFLOPS, PASSED
END IF
30 CONTINUE
40 CONTINUE
50 CONTINUE
60 CONTINUE
70 CONTINUE
80 CONTINUE
CALL BLACS_GRIDEXIT( ICTXT )
90 CONTINUE
*
* Print out ending messages and close output file
*
IF( IAM.EQ.0 ) THEN
KTESTS = KPASS + KFAIL + KSKIP
WRITE( NOUT, FMT = * )
WRITE( NOUT, FMT = 9992 ) KTESTS
IF( CHECK ) THEN
WRITE( NOUT, FMT = 9991 ) KPASS
WRITE( NOUT, FMT = 9989 ) KFAIL
ELSE
WRITE( NOUT, FMT = 9990 ) KPASS
END IF
WRITE( NOUT, FMT = 9988 ) KSKIP
WRITE( NOUT, FMT = * )
WRITE( NOUT, FMT = * )
WRITE( NOUT, FMT = 9987 )
IF( NOUT.NE.6 .AND. NOUT.NE.0 )
$ CLOSE ( NOUT )
END IF
*
CALL BLACS_EXIT( 0 )
*
9999 FORMAT( 'ILLEGAL ', A6, ': ', A5, ' = ', I3,
$ '; It should be at least 1' )
9998 FORMAT( 'ILLEGAL GRID: nprow*npcol = ', I4, '. It can be at most',
$ I4 )
9997 FORMAT( 'Bad ', A6, ' parameters: going on to next test case.' )
9996 FORMAT( 'Unable to perform ', A, ': need TOTMEM of at least',
$ I11 )
9995 FORMAT( 'Time TRANS M N NB NRHS NBRHS P Q ',
$ 'LS Time MFLOPS CHECK' )
9994 FORMAT( '---- ----- ------ ------ --- ----- ----- ----- ----- ',
$ '--------- -------- ------' )
9993 FORMAT( A4, 3X, A1, 3X, I6, 1X, I6, 1X, I3, 1X, I5, 1X, I5, 1X,
$ I5, 1X, I5, 1X, F9.2, 1X, F8.2, 1X, A6 )
9992 FORMAT( 'Finished', I6, ' tests, with the following results:' )
9991 FORMAT( I5, ' tests completed and passed residual checks.' )
9990 FORMAT( I5, ' tests completed without checking.' )
9989 FORMAT( I5, ' tests completed and failed residual checks.' )
9988 FORMAT( I5, ' tests skipped because of illegal input values.' )
9987 FORMAT( 'END OF TESTS.' )
9986 FORMAT( ' TRANS=''', A1, ''', M=', I5, ', N=', I5, ', NRHS=', I4,
$ ', NB=', I4, ', type', I2, ', test(', I2, ')=', G12.5 )
*
STOP
*
* End of PSLSDRIVER
*
END
|
