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|
PROGRAM PZNEPDRIVER
*
* -- ScaLAPACK testing driver (version 1.7) --
* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
* and University of California, Berkeley.
* March, 2000
*
* Purpose
* =======
*
* PZNEPDRIVER is the main test program for the COMPLEX*16
* SCALAPACK NEP routines. This test driver performs a Schur
* decomposition followed by residual check of a Hessenberg matrix.
*
* 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 18 lines:
* 'SCALAPACK, Version 1.4, NEP (Nonsymmetric EigenProblem) input file'
* 'Intel iPSC/860 hypercube, gamma model.'
* 'NEP.out' output file name (if any)
* 6 device out
* 8 number of problems sizes
* 1 2 3 4 6 10 100 200 vales of N
* 3 number of NB's
* 6 20 40 values of NB
* 4 number of process grids (ordered pairs of P & Q)
* 1 2 1 4 values of P
* 1 2 4 1 values of Q
* 20.0 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.
*
* ZPLXSZ INTEGER, default = 16 bytes.
* ZPLXSZ indicate the length in bytes on the given platform
* for a double precision complex.
* MEM COMPLEX*16 array, dimension ( TOTMEM / ZPLXSZ )
*
* 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.
*
* Further Details
* ===============
*
* Contributed by Mark Fahey, March 2000.
*
* =====================================================================
*
* .. Parameters ..
INTEGER BLOCK_CYCLIC_2D, CSRC_, CTXT_, DLEN_, DT_,
$ LLD_, MB_, M_, NB_, N_, RSRC_
PARAMETER ( BLOCK_CYCLIC_2D = 1, DLEN_ = 9, DT_ = 1,
$ CTXT_ = 2, M_ = 3, N_ = 4, MB_ = 5, NB_ = 6,
$ RSRC_ = 7, CSRC_ = 8, LLD_ = 9 )
INTEGER ZPLXSZ, TOTMEM, MEMSIZ, NTESTS
PARAMETER ( ZPLXSZ = 16, TOTMEM = 200000000,
$ MEMSIZ = TOTMEM / ZPLXSZ, NTESTS = 20 )
COMPLEX*16 PADVAL, ZERO, ONE
PARAMETER ( PADVAL = ( -9923.0D+0, -9923.0D+0 ),
$ ZERO = ( 0.0D+0, 0.0D+0 ),
$ ONE = ( 1.0D+0, 0.0D+0 ) )
* ..
* .. Local Scalars ..
LOGICAL CHECK
CHARACTER*6 PASSED
CHARACTER*80 OUTFILE
INTEGER I, IAM, IASEED, ICTXT, III, IMIDPAD, INFO, IPA,
$ IPOSTPAD, IPREPAD, IPW, IPWR, IPZ, J, K, KFAIL,
$ KPASS, KSKIP, KTESTS, LDA, LDWORK, LDZ, LWORK,
$ MYCOL, MYROW, N, NB, NGRIDS, NMAT, NNB, NOUT,
$ NP, NPCOL, NPROCS, NPROW, NQ, WORKSIZ
REAL THRESH
DOUBLE PRECISION ANORM, FRESID, NOPS, QRESID, TMFLOPS, ZNORM
* ..
* .. Local Arrays ..
INTEGER DESCA( DLEN_ ), DESCZ( DLEN_ ), IDUM( 1 ),
$ IERR( 2 ), NBVAL( NTESTS ), NVAL( NTESTS ),
$ PVAL( NTESTS ), QVAL( NTESTS )
DOUBLE PRECISION CTIME( 2 ), WTIME( 2 )
COMPLEX*16 MEM( MEMSIZ )
* ..
* .. External Subroutines ..
EXTERNAL BLACS_BARRIER, BLACS_EXIT, BLACS_GET,
$ BLACS_GRIDEXIT, BLACS_GRIDINFO, BLACS_GRIDINIT,
$ BLACS_PINFO, DESCINIT, IGSUM2D, PZCHEKPAD,
$ PZFILLPAD, PZGEMM, PZLAHQR, PZLASET, PZMATGEN,
$ PZNEPFCHK, PZNEPINFO, SLBOOT, SLCOMBINE,
$ SLTIMER
* ..
* .. External Functions ..
INTEGER ILCM, NUMROC
DOUBLE PRECISION PDLAMCH, PZLANGE, PZLANHS
EXTERNAL ILCM, NUMROC, PDLAMCH, PZLANGE, PZLANHS
* ..
* .. Intrinsic Functions ..
INTRINSIC DBLE, MAX, MIN
* ..
* .. Data statements ..
DATA KFAIL, KPASS, KSKIP, KTESTS / 4*0 /
* ..
* .. Executable Statements ..
*
* Get starting information
*
CALL BLACS_PINFO( IAM, NPROCS )
IASEED = 100
CALL PZNEPINFO( OUTFILE, NOUT, NMAT, NVAL, 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 process grid loop if this case doesn't use my
* process
*
IF( MYROW.GE.NPROW .OR. MYCOL.GE.NPCOL )
$ GO TO 30
*
DO 20 J = 1, NMAT
*
N = NVAL( 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.6 ) 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
*
* Padding constants
*
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 )
IPREPAD = IPREPAD + 1000
IMIDPAD = IMIDPAD + 1000
IPOSTPAD = IPOSTPAD + 1000
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, IERR( 1 ) )
*
* Initialize the array descriptor for the matrix Z
*
CALL DESCINIT( DESCZ, N, N, NB, NB, 0, 0, ICTXT,
$ MAX( 1, NP )+IMIDPAD, IERR( 2 ) )
*
LDA = DESCA( LLD_ )
LDZ = DESCZ( LLD_ )
LDWORK = DESCZ( LLD_ )
*
* 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 10
END IF
*
* Assign pointers into MEM for SCALAPACK arrays, A is
* allocated starting at position MEM( IPREPAD+1 )
*
IPA = IPREPAD + 1
IPZ = IPA + DESCA( LLD_ )*NQ + IPOSTPAD + IPREPAD
IPWR = IPZ + DESCZ( LLD_ )*NQ + IPOSTPAD + IPREPAD
IPW = IPWR + DESCZ( LLD_ )*NQ + IPOSTPAD + IPREPAD
III = N / NB
IF( III*NB.LT.N )
$ III = III + 1
III = 7*III / ILCM( NPROW, NPCOL )
*
*
LWORK = 3*N + MAX( 2*MAX( LDA, LDZ )+2*NQ, III )
LWORK = LWORK + MAX( 2*N, ( 8*ILCM( NPROW, NPCOL )+2 )**
$ 2 )
*
IF( CHECK ) THEN
*
* Figure the amount of workspace required by the
* checking routines PZNEPFCHK and PZLANHS
*
WORKSIZ = LWORK + MAX( NP*DESCA( NB_ ),
$ DESCA( MB_ )*NQ ) + IPOSTPAD
*
ELSE
*
WORKSIZ = LWORK + 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 )'Schur reduction',
$ ( IPW+WORKSIZ )*ZPLXSZ
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 matrix Z = In
*
CALL PZLASET( 'All', N, N, ZERO, ONE, MEM( IPZ ), 1, 1,
$ DESCZ )
*
* Generate matrix A upper Hessenberg
*
CALL PZMATGEN( ICTXT, 'No transpose', 'No transpose',
$ 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 )
CALL PZLASET( 'Lower', MAX( 0, N-2 ), MAX( 0, N-2 ),
$ ZERO, ZERO, MEM( IPA ), MIN( N, 3 ), 1,
$ DESCA )
*
* Calculate inf-norm of A for residual error-checking
*
IF( CHECK ) THEN
CALL PZFILLPAD( ICTXT, NP, NQ, MEM( IPA-IPREPAD ),
$ DESCA( LLD_ ), IPREPAD, IPOSTPAD,
$ PADVAL )
CALL PZFILLPAD( ICTXT, NP, NQ, MEM( IPZ-IPREPAD ),
$ DESCZ( LLD_ ), IPREPAD, IPOSTPAD,
$ PADVAL )
CALL PZFILLPAD( ICTXT, WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ), WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD, PADVAL )
ANORM = PZLANHS( 'I', N, MEM( IPA ), 1, 1, DESCA,
$ MEM( IPW ) )
CALL PZCHEKPAD( ICTXT, 'PZLANHS', NP, NQ,
$ MEM( IPA-IPREPAD ), DESCA( LLD_ ),
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PZCHEKPAD( ICTXT, 'PZLANHS', WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ), WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD, PADVAL )
*
CALL PZFILLPAD( ICTXT, N, 1, MEM( IPWR-IPREPAD ), N,
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PZFILLPAD( ICTXT, LWORK, 1, MEM( IPW-IPREPAD ),
$ LWORK, IPREPAD, IPOSTPAD, PADVAL )
*
END IF
*
CALL SLBOOT()
CALL BLACS_BARRIER( ICTXT, 'All' )
CALL SLTIMER( 1 )
*
* Perform NEP factorization
*
CALL PZLAHQR( .TRUE., .TRUE., N, 1, N, MEM( IPA ), DESCA,
$ MEM( IPWR ), 1, N, MEM( IPZ ), DESCZ,
$ MEM( IPW ), LWORK, IDUM, 0, INFO )
*
CALL SLTIMER( 1 )
*
IF( INFO.NE.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = * )'PZLAHQR INFO=', INFO
KFAIL = KFAIL + 1
GO TO 10
END IF
*
IF( CHECK ) THEN
*
* Check for memory overwrite in NEP factorization
*
CALL PZCHEKPAD( ICTXT, 'PZLAHQR (A)', NP, NQ,
$ MEM( IPA-IPREPAD ), DESCA( LLD_ ),
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PZCHEKPAD( ICTXT, 'PZLAHQR (Z)', NP, NQ,
$ MEM( IPZ-IPREPAD ), DESCZ( LLD_ ),
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PZCHEKPAD( ICTXT, 'PZLAHQR (WR)', N, 1,
$ MEM( IPWR-IPREPAD ), N, IPREPAD,
$ IPOSTPAD, PADVAL )
CALL PZCHEKPAD( ICTXT, 'PZLAHQR (WORK)', LWORK, 1,
$ MEM( IPW-IPREPAD ), LWORK, IPREPAD,
$ IPOSTPAD, PADVAL )
*
CALL PZFILLPAD( ICTXT, WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ), WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD, PADVAL )
*
* Compute || Z * H * Z**T - H0 || / ( N*|| H0 ||*EPS )
*
CALL PZNEPFCHK( N, MEM( IPA ), 1, 1, DESCA, IASEED,
$ MEM( IPZ ), 1, 1, DESCZ, ANORM,
$ FRESID, MEM( IPW ) )
*
CALL PZCHEKPAD( ICTXT, 'PZNEPFCHK (A)', NP, NQ,
$ MEM( IPA-IPREPAD ), DESCA( LLD_ ),
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PZCHEKPAD( ICTXT, 'PZNEPFCHK (Z)', NP, NQ,
$ MEM( IPZ-IPREPAD ), DESCZ( LLD_ ),
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PZCHEKPAD( ICTXT, 'PZNEPFCHK (WORK)',
$ WORKSIZ-IPOSTPAD, 1,
$ MEM( IPW-IPREPAD ), WORKSIZ-IPOSTPAD,
$ IPREPAD, IPOSTPAD, PADVAL )
*
* Compute || (Z**T)*Z - In ||_1
*
CALL PZLASET( 'All', N, N, ZERO, ONE, MEM( IPA ), 1,
$ 1, DESCA )
CALL PZGEMM( 'Cong Tran', 'No transpose', N, N, N,
$ -ONE, MEM( IPZ ), 1, 1, DESCZ,
$ MEM( IPZ ), 1, 1, DESCZ, ONE, MEM( IPA ),
$ 1, 1, DESCA )
ZNORM = PZLANGE( '1', N, N, MEM( IPA ), 1, 1, DESCA,
$ MEM( IPW ) )
QRESID = ZNORM / ( DBLE( N )*PDLAMCH( ICTXT, 'P' ) )
*
* Test residual and detect NaN result
*
IF( ( FRESID.LE.THRESH ) .AND.
$ ( ( FRESID-FRESID ).EQ.0.0D+0 ) .AND.
$ ( QRESID.LE.THRESH ) .AND.
$ ( ( QRESID-QRESID ).EQ.0.0D+0 ) ) THEN
KPASS = KPASS + 1
PASSED = 'PASSED'
ELSE
KFAIL = KFAIL + 1
PASSED = 'FAILED'
IF( IAM.EQ.0 ) THEN
WRITE( NOUT, FMT = 9986 )FRESID
WRITE( NOUT, FMT = 9985 )QRESID
END IF
END IF
*
ELSE
*
* Don't perform the checking, only timing
*
KPASS = KPASS + 1
FRESID = FRESID - FRESID
QRESID = QRESID - QRESID
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
*
* 18 N^3 flops for PxLAHQR
*
NOPS = 18.0D+0*DBLE( N )**3
*
* Calculate total megaflops -- factorization only,
* -- 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', N, NB, 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 ', N, NB, NPROW,
$ NPCOL, CTIME( 1 ), TMFLOPS, 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 NB P Q NEP Time MFLOPS CHECK' )
9994 FORMAT( '---- ----- --- ---- ---- -------- -------- ------' )
9993 FORMAT( A4, 1X, I5, 1X, I3, 1X, I4, 1X, I4, 1X, F8.2, 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( '||H - Q*S*Q^T|| / (||H|| * N * eps) = ', G25.7 )
9985 FORMAT( '||Q^T*Q - I|| / ( N * eps ) ', G25.7 )
*
STOP
*
* End of PZNEPDRIVER
*
END
|
