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|
PROGRAM PCHRDDRIVER
*
* -- ScaLAPACK testing driver (version 1.7) --
* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
* and University of California, Berkeley.
* March 13, 2000
*
* Purpose
* =======
*
* PCHRDDRIVER is the main test program for the COMPLEX
* ScaLAPACK HRD (Hessenberg Reduction) routines.
*
* 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 14 lines:
* 'ScaLAPACK HRD input file'
* 'PVM machine'
* 'HRD.out' output file name (if any)
* 6 device out
* 2 number of problems sizes
* 100 101 values of N
* 2 1 values of ILO
* 99 101 values of IHI
* 3 number of NB's
* 2 3 5 values of NB
* 7 number of process grids (ordered pairs of P & Q)
* 1 2 1 4 2 3 8 values of P
* 1 2 4 1 3 2 1 values of Q
* 3.0 threshold
*
* Internal Parameters
* ===================
*
* TOTMEM INTEGER, default = 2000000
* 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.
* CPLXSZ INTEGER, default = 8 bytes.
* INTGSZ and CPLXSZ indicate the length in bytes on the
* given platform for an integer and a single precision
* complex.
* MEM COMPLEX array, dimension ( TOTMEM / CPLXSZ )
*
* 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 CPLXSZ, MEMSIZ, NTESTS, TOTMEM
COMPLEX PADVAL
PARAMETER ( CPLXSZ = 8, TOTMEM = 2000000,
$ MEMSIZ = TOTMEM / CPLXSZ, NTESTS = 20,
$ PADVAL = ( -9923.0E+0, -9923.0E+0 ) )
* ..
* .. Local Scalars ..
LOGICAL CHECK
CHARACTER*6 PASSED
CHARACTER*80 OUTFILE
INTEGER I, IAM, IASEED, ICTXT, IHI, IHIP, IHLP, IHLQ,
$ ILCOL, ILO, ILROW, INFO, INLQ, IMIDPAD, IPA,
$ IPT, IPW, IPOSTPAD, IPREPAD, ITEMP, J, K,
$ KFAIL, KPASS, KSKIP, KTESTS, LCM, LCMQ, LOFF,
$ LWORK, MYCOL, MYROW, N, NB, NGRIDS, NMAT, NNB,
$ NPROCS, NOUT, NP, NPCOL, NPROW, NQ, WORKHRD,
$ WORKSIZ
REAL ANORM, FRESID, THRESH
DOUBLE PRECISION NOPS, TMFLOPS
* ..
* .. Local Arrays ..
INTEGER DESCA( DLEN_ ), IERR( 1 ), NBVAL( NTESTS ),
$ NVAL( NTESTS ), NVHI( NTESTS ), NVLO( NTESTS ),
$ PVAL( NTESTS ), QVAL( NTESTS )
DOUBLE PRECISION CTIME( 1 ), WTIME( 1 )
COMPLEX MEM( MEMSIZ )
* ..
* .. External Subroutines ..
EXTERNAL BLACS_BARRIER, BLACS_EXIT, BLACS_GET,
$ BLACS_GRIDEXIT, BLACS_GRIDINIT, BLACS_GRIDINFO,
$ DESCINIT, IGSUM2D, BLACS_PINFO, PCFILLPAD,
$ PCLAFCHK, PCGEHDRV, PCGEHRD,
$ PCHRDINFO, PCMATGEN, SLBOOT,
$ SLCOMBINE, SLTIMER
* ..
* .. External Functions ..
INTEGER ILCM, INDXG2P, NUMROC
REAL PCLANGE
EXTERNAL ILCM, INDXG2P, NUMROC, PCLANGE
* ..
* .. Intrinsic Functions ..
INTRINSIC DBLE, MAX
* ..
* .. Data statements ..
DATA KTESTS, KPASS, KFAIL, KSKIP / 4*0 /
* ..
* .. Executable Statements ..
*
* Get starting information
*
CALL BLACS_PINFO( IAM, NPROCS )
IASEED = 100
CALL PCHRDINFO( OUTFILE, NOUT, NMAT, NVAL, NVLO, NVHI, NTESTS,
$ NNB, NBVAL, 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 30 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 30
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 )
$ GOTO 30
*
DO 20 J = 1, NMAT
*
N = NVAL( J )
ILO = NVLO( J )
IHI = NVHI( J )
*
* Make sure matrix information is correct
*
IERR( 1 ) = 0
IF( N.LT.1 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9999 ) 'MATRIX', 'N', N
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 ) 'matrix'
KSKIP = KSKIP + 1
GO TO 20
END IF
*
DO 10 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 10
END IF
*
NP = NUMROC( N, NB, MYROW, 0, NPROW )
NQ = NUMROC( N, NB, MYCOL, 0, NPCOL )
IF( CHECK ) THEN
IPREPAD = MAX( NB, NP )
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, N, N, NB, NB, 0, 0, ICTXT,
$ MAX( 1, NP ) + IMIDPAD, INFO )
*
* 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 10
END IF
*
* Assign pointers into MEM for SCALAPACK arrays, A is
* allocated starting at position MEM( IPREPAD+1 )
*
IPA = IPREPAD + 1
IPT = IPA + DESCA( LLD_ )*NQ + IPOSTPAD + IPREPAD
IPW = IPT + NQ + IPOSTPAD + IPREPAD
*
* Calculate the amount of workspace required for the
* reduction
*
IHIP = NUMROC( IHI, NB, MYROW, DESCA( RSRC_ ), NPROW )
LOFF = MOD( ILO-1, NB )
ILROW = INDXG2P( ILO, NB, MYROW, DESCA( RSRC_ ), NPROW )
ILCOL = INDXG2P( ILO, NB, MYCOL, DESCA( CSRC_ ), NPCOL )
IHLP = NUMROC( IHI-ILO+LOFF+1, NB, MYROW, ILROW, NPROW )
INLQ = NUMROC( N-ILO+LOFF+1, NB, MYCOL, ILCOL, NPCOL )
LWORK = NB*( NB + MAX( IHIP+1, IHLP+INLQ ) )
WORKHRD = LWORK + IPOSTPAD
WORKSIZ = WORKHRD
*
* Figure the amount of workspace required by the check
*
IF( CHECK ) THEN
LCM = ILCM( NPROW, NPCOL )
LCMQ = LCM / NPCOL
IHLQ = NUMROC( IHI-ILO+LOFF+1, NB, MYCOL, ILCOL,
$ NPCOL )
ITEMP = NB*MAX( IHLP+INLQ, IHLQ+MAX( IHIP,
$ IHLP+NUMROC( NUMROC( IHI-ILO+LOFF+1, NB, 0, 0,
$ NPCOL ), NB, 0, 0, LCMQ ) ) )
WORKSIZ = MAX( NB*NB + NB*IHLP + ITEMP, NB * NP ) +
$ 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 ) 'Hessenberg reduction',
$ ( IPW+WORKSIZ )*CPLXSZ
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 10
END IF
*
* Generate A
*
CALL PCMATGEN( ICTXT, 'No', 'No', DESCA( M_ ),
$ DESCA( N_ ), DESCA( MB_ ), DESCA( NB_ ),
$ MEM( IPA ), DESCA( LLD_ ), DESCA( RSRC_ ),
$ DESCA( CSRC_ ),
$ IASEED, 0, NP, 0, NQ, MYROW, MYCOL,
$ NPROW, NPCOL )
*
* Need Infinity-norm of A for checking
*
IF( CHECK ) THEN
CALL PCFILLPAD( ICTXT, NP, NQ, MEM( IPA-IPREPAD ),
$ DESCA( LLD_ ), IPREPAD, IPOSTPAD,
$ PADVAL )
CALL PCFILLPAD( ICTXT, NQ, 1, MEM( IPT-IPREPAD ),
$ NQ, IPREPAD, IPOSTPAD, PADVAL )
CALL PCFILLPAD( ICTXT, WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ), WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD, PADVAL )
ANORM = PCLANGE( 'I', N, N, MEM( IPA ), 1, 1, DESCA,
$ MEM( IPW ) )
CALL PCCHEKPAD( ICTXT, 'PCLANGE', NP, NQ,
$ MEM( IPA-IPREPAD ), DESCA( LLD_ ),
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PCCHEKPAD( ICTXT, 'PCLANGE',
$ WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ), WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PCFILLPAD( ICTXT, WORKHRD-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ), WORKHRD-IPOSTPAD,
$ IPREPAD, IPOSTPAD, PADVAL )
END IF
*
CALL SLBOOT()
CALL BLACS_BARRIER( ICTXT, 'All' )
CALL SLTIMER( 1 )
*
* Reduce Hessenberg form
*
CALL PCGEHRD( N, ILO, IHI, MEM( IPA ), 1, 1, DESCA,
$ MEM( IPT ), MEM( IPW ), LWORK, INFO )
CALL SLTIMER( 1 )
*
IF( CHECK ) THEN
*
* Check for memory overwrite
*
CALL PCCHEKPAD( ICTXT, 'PCGEHRD', NP, NQ,
$ MEM( IPA-IPREPAD ), DESCA( LLD_ ),
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PCCHEKPAD( ICTXT, 'PCGEHRD', NQ, 1,
$ MEM( IPT-IPREPAD ), NQ, IPREPAD,
$ IPOSTPAD, PADVAL )
CALL PCCHEKPAD( ICTXT, 'PCGEHRD', WORKHRD-IPOSTPAD,
$ 1, MEM( IPW-IPREPAD ),
$ WORKHRD-IPOSTPAD, IPREPAD,
$ IPOSTPAD, PADVAL )
CALL PCFILLPAD( ICTXT, WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ), WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD, PADVAL )
*
* Compute fctres = ||A - Q H Q'|| / (||A||*N*eps)
*
CALL PCGEHDRV( N, ILO, IHI, MEM( IPA ), 1, 1, DESCA,
$ MEM( IPT ), MEM( IPW ) )
CALL PCLAFCHK( 'No', 'No', N, N, MEM( IPA ), 1, 1,
$ DESCA, IASEED, ANORM, FRESID,
$ MEM( IPW ) )
*
* Check for memory overwrite
*
CALL PCCHEKPAD( ICTXT, 'PCGEHDRV', NP, NQ,
$ MEM( IPA-IPREPAD ), DESCA( LLD_ ),
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PCCHEKPAD( ICTXT, 'PCGEHDRV', NQ, 1,
$ MEM( IPT-IPREPAD ), NQ, IPREPAD,
$ IPOSTPAD, PADVAL )
CALL PCCHEKPAD( ICTXT, 'PCGEHDRV',
$ WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ), WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD, PADVAL )
*
* Test residual and detect NaN result
*
IF( FRESID.LE.THRESH .AND. FRESID-FRESID.EQ.0.0E+0 )
$ THEN
KPASS = KPASS + 1
PASSED = 'PASSED'
ELSE
IF( MYROW.EQ.0 .AND. MYCOL.EQ.0 )
$ WRITE( NOUT, FMT = 9986 ) FRESID
KFAIL = KFAIL + 1
PASSED = 'FAILED'
END IF
ELSE
*
* Don't perform the checking, only the timing operation
*
KPASS = KPASS + 1
FRESID = FRESID - FRESID
PASSED = 'BYPASS'
END IF
*
* Gather max. 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
*
* HRD requires 40/3 * N^3 floating point ops. (flops)
* more precisely,
* HRD requires 16/3*(IHI-ILO)^3+8*IHI*(IHI-ILO)^2 flops
*
NOPS = DBLE( IHI-ILO )
NOPS = NOPS * NOPS *
$ ( 8.0D0*DBLE( IHI ) + (16.0D0/3.0D0)*NOPS )
NOPS = NOPS / 1.0D+6
*
* Print WALL time
*
IF( WTIME( 1 ).GT.0.0D+0 ) THEN
TMFLOPS = NOPS / WTIME( 1 )
ELSE
TMFLOPS = 0.0D+0
END IF
IF( WTIME( 1 ).GE.0.0D+0 )
$ WRITE( NOUT, FMT = 9993 ) 'WALL', N, ILO, IHI, NB,
$ NPROW, NPCOL, WTIME( 1 ), TMFLOPS, FRESID,
$ PASSED
*
* Print CPU time
*
IF( CTIME( 1 ).GT.0.0D+0 ) THEN
TMFLOPS = NOPS / CTIME( 1 )
ELSE
TMFLOPS = 0.0D+0
END IF
IF( CTIME( 1 ).GE.0.0D+0 )
$ WRITE( NOUT, FMT = 9993 ) 'CPU ', N, ILO, IHI, NB,
$ NPROW, NPCOL, CTIME( 1 ), TMFLOPS, FRESID,
$ PASSED
END IF
10 CONTINUE
20 CONTINUE
*
CALL BLACS_GRIDEXIT( ICTXT )
30 CONTINUE
*
* Print 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 N ILO IHI NB P Q HRD Time ',
$ ' MFLOPS Residual CHECK' )
9994 FORMAT( '---- ------ ------ ------ --- ----- ----- --------- ',
$ '----------- -------- ------' )
9993 FORMAT( A4, 1X, I6, 1X, I6, 1X, I6, 1X, I3, 1X, I5, 1X, I5, 1X,
$ F9.2, 1X, F11.2, 1X, F8.2, 1X, A6 )
9992 FORMAT( 'Finished', I4, ' 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( '||A - Q*H*Q''|| / (||A|| * N * eps) = ', G25.7 )
*
STOP
*
* End of PCHRDDRIVER
*
END
|
