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|
PROGRAM PZDTDRIVER
*
*
* -- ScaLAPACK routine (version 1.7) --
* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
* and University of California, Berkeley.
* November 15, 1997
*
* Purpose
* =======
*
* PZDTDRIVER is a test program for the
* ScaLAPACK Band Cholesky routines corresponding to the options
* indicated by ZDT. This test driver performs an
* A = L*U factorization
* and solves a linear system with the factors for 1 or more RHS.
*
* The program must be driven by a short data file.
* Here's an example file:
*'ScaLAPACK, Version 1.2, banded linear systems input file'
*'PVM.'
*'' output file name (if any)
*6 device out
*'L' define Lower or Upper
*9 number of problem sizes
*1 5 17 28 37 121 200 1023 2048 3073 values of N
*6 number of bandwidths
*1 2 4 10 31 64 values of BW
*1 number of NB's
*-1 3 4 5 values of NB (-1 for automatic choice)
*1 number of NRHS's (must be 1)
*8 values of NRHS
*1 number of NBRHS's (ignored)
*1 values of NBRHS (ignored)
*6 number of process grids
*1 2 3 4 5 7 8 15 26 47 64 values of "Number of Process Columns"
*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.
* ZPLXSZ INTEGER, default = 16 bytes.
* INTGSZ and ZPLXSZ indicate the length in bytes on the
* given platform for an integer and 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 IPB,
* for example, is a pointer to the starting element of MEM for
* the solution vector(s) B.
*
* =====================================================================
*
* Code Developer: Andrew J. Cleary, University of Tennessee.
* Current address: Lawrence Livermore National Labs.
* This version released: August, 2001.
*
* =====================================================================
*
* .. Parameters ..
INTEGER TOTMEM
PARAMETER ( TOTMEM = 3000000 )
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 )
*
DOUBLE PRECISION ZERO
INTEGER MEMSIZ, NTESTS, ZPLXSZ
COMPLEX*16 PADVAL
PARAMETER ( ZPLXSZ = 16,
$ MEMSIZ = TOTMEM / ZPLXSZ, NTESTS = 20,
$ PADVAL = ( -9923.0D+0, -9923.0D+0 ),
$ ZERO = 0.0D+0 )
INTEGER INT_ONE
PARAMETER ( INT_ONE = 1 )
* ..
* .. Local Scalars ..
LOGICAL CHECK
CHARACTER TRANS
CHARACTER*6 PASSED
CHARACTER*80 OUTFILE
INTEGER BWL, BWU, BW_NUM, FILLIN_SIZE, FREE_PTR, H, HH,
$ I, IAM, IASEED, IBSEED, ICTXT, ICTXTB,
$ IERR_TEMP, IMIDPAD, INFO, IPA, IPB, IPOSTPAD,
$ IPREPAD, IPW, IPW_SIZE, IPW_SOLVE,
$ IPW_SOLVE_SIZE, IP_DRIVER_W, IP_FILLIN, J, K,
$ KFAIL, KPASS, KSKIP, KTESTS, MYCOL, MYRHS_SIZE,
$ MYROW, N, NB, NBW, NGRIDS, NMAT, NNB, NNBR,
$ NNR, NOUT, NP, NPCOL, NPROCS, NPROCS_REAL,
$ NPROW, NQ, NRHS, N_FIRST, N_LAST, WORKSIZ
REAL THRESH
DOUBLE PRECISION ANORM, NOPS, NOPS2, SRESID, TMFLOPS,
$ TMFLOPS2
* ..
* .. Local Arrays ..
INTEGER BWLVAL( NTESTS ), BWUVAL( NTESTS ), DESCA( 7 ),
$ DESCA2D( DLEN_ ), DESCB( 7 ), DESCB2D( DLEN_ ),
$ IERR( 1 ), NBRVAL( NTESTS ), NBVAL( NTESTS ),
$ NRVAL( 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, PZBMATGEN,
$ PZCHEKPAD, PZDTINFO, PZDTLASCHK, PZDTTRF,
$ PZDTTRS, PZFILLPAD, PZMATGEN, SLBOOT,
$ SLCOMBINE, SLTIMER
* ..
* .. External Functions ..
INTEGER NUMROC
LOGICAL LSAME
DOUBLE PRECISION PZLANGE
EXTERNAL LSAME, NUMROC, PZLANGE
* ..
* .. Intrinsic Functions ..
INTRINSIC DBLE, MAX, MIN, MOD
* ..
* .. Data Statements ..
DATA KFAIL, KPASS, KSKIP, KTESTS / 4*0 /
* ..
*
*
*
* .. Executable Statements ..
*
* Get starting information
*
CALL BLACS_PINFO( IAM, NPROCS )
IASEED = 100
IBSEED = 200
*
CALL PZDTINFO( OUTFILE, NOUT, TRANS, NMAT, NVAL, NTESTS, NBW,
$ BWLVAL, BWUVAL, NTESTS, NNB, NBVAL, NTESTS, NNR,
$ NRVAL, NTESTS, NNBR, NBRVAL, NTESTS, NGRIDS, PVAL,
$ NTESTS, QVAL, NTESTS, THRESH, MEM, IAM, NPROCS )
*
CHECK = ( THRESH.GE.0.0D+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 60 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 50
END IF
*
* Define process grid
*
CALL BLACS_GET( -1, 0, ICTXT )
CALL BLACS_GRIDINIT( ICTXT, 'Row-major', NPROW, NPCOL )
*
*
* Define transpose process grid
*
CALL BLACS_GET( -1, 0, ICTXTB )
CALL BLACS_GRIDINIT( ICTXTB, 'Column-major', NPCOL, NPROW )
*
* Go to bottom of process grid loop if this case doesn't use my
* process
*
CALL BLACS_GRIDINFO( ICTXT, NPROW, NPCOL, MYROW, MYCOL )
*
IF( MYROW.LT.0 .OR. MYCOL.LT.0 ) THEN
GO TO 50
ENDIF
*
DO 40 J = 1, NMAT
*
IERR( 1 ) = 0
*
N = NVAL( J )
*
* Make sure matrix information is correct
*
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 ) 'size'
KSKIP = KSKIP + 1
GO TO 40
END IF
*
*
DO 45 BW_NUM = 1, NBW
*
IERR( 1 ) = 0
*
BWL = 1
IF( BWL.LT.1 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9999 ) 'Lower Band', 'bwl', BWL
IERR( 1 ) = 1
END IF
*
BWU = 1
IF( BWU.LT.1 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9999 ) 'Upper Band', 'bwu', BWU
IERR( 1 ) = 1
END IF
*
IF( BWL.GT.N-1 ) THEN
IF( IAM.EQ.0 ) THEN
IERR( 1 ) = 1
ENDIF
END IF
*
IF( BWU.GT.N-1 ) THEN
IF( IAM.EQ.0 ) THEN
IERR( 1 ) = 1
ENDIF
END IF
*
* Check all processes for an error
*
CALL IGSUM2D( ICTXT, 'All', ' ', 1, 1, IERR, 1,
$ -1, 0 )
*
IF( IERR( 1 ).GT.0 ) THEN
KSKIP = KSKIP + 1
GO TO 45
END IF
*
DO 30 K = 1, NNB
*
IERR( 1 ) = 0
*
NB = NBVAL( K )
IF( NB.LT.0 ) THEN
NB =( (N-(NPCOL-1)*INT_ONE-1)/NPCOL + 1 )
$ + INT_ONE
NB = MAX( NB, 2*INT_ONE )
NB = MIN( N, NB )
END IF
*
* Make sure NB is legal
*
IERR( 1 ) = 0
IF( NB.LT.MIN( 2*INT_ONE, N ) ) THEN
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
KSKIP = KSKIP + 1
GO TO 30
END IF
*
* Padding constants
*
NP = NUMROC( (3), (3),
$ MYROW, 0, NPROW )
NQ = NUMROC( N, NB, MYCOL, 0, NPCOL )
*
IF( CHECK ) THEN
IPREPAD = ((3)+10)
IMIDPAD = 10
IPOSTPAD = ((3)+10)
ELSE
IPREPAD = 0
IMIDPAD = 0
IPOSTPAD = 0
END IF
*
* Initialize the array descriptor for the matrix A
*
CALL DESCINIT( DESCA2D, N, (3),
$ NB, 1, 0, 0,
$ ICTXTB, NB+10, IERR( 1 ) )
*
* Convert this to 1D descriptor
*
DESCA( 1 ) = 501
DESCA( 3 ) = N
DESCA( 4 ) = NB
DESCA( 5 ) = 0
DESCA( 2 ) = ICTXT
DESCA( 6 ) = ((3)+10)
DESCA( 7 ) = 0
*
IERR_TEMP = IERR( 1 )
IERR( 1 ) = 0
IERR( 1 ) = MIN( IERR( 1 ), IERR_TEMP )
*
* 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
*
* Assign pointers into MEM for SCALAPACK arrays, A is
* allocated starting at position MEM( IPREPAD+1 )
*
FREE_PTR = 1
IPB = 0
*
* Save room for prepadding
FREE_PTR = FREE_PTR + IPREPAD
*
IPA = FREE_PTR
FREE_PTR = FREE_PTR + (NB+10)*(3)
$ + IPOSTPAD
*
* Add memory for fillin
* Fillin space needs to store:
* Fillin spike:
* Contribution to previous proc's diagonal block of
* reduced system:
* Off-diagonal block of reduced system:
* Diagonal block of reduced system:
*
FILLIN_SIZE =
$ (12*NPCOL+3*NB)
*
* Claim memory for fillin
*
FREE_PTR = FREE_PTR + IPREPAD
IP_FILLIN = FREE_PTR
FREE_PTR = FREE_PTR + FILLIN_SIZE
*
* Workspace needed by computational routines:
*
IPW_SIZE = 0
*
* factorization:
*
IPW_SIZE = 8*NPCOL
*
* Claim memory for IPW
*
IPW = FREE_PTR
FREE_PTR = FREE_PTR + IPW_SIZE
*
* Check for adequate memory for problem size
*
IERR( 1 ) = 0
IF( FREE_PTR.GT.MEMSIZ ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 )
$ 'divide and conquer factorization',
$ (FREE_PTR )*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 30
END IF
*
* Worksize needed for LAPRNT
WORKSIZ = MAX( ((3)+10), NB )
*
IF( CHECK ) THEN
*
* Calculate the amount of workspace required by
* the checking routines.
*
* PZLANGE
WORKSIZ = MAX( WORKSIZ, DESCA2D( NB_ ) )
*
* PZDTLASCHK
WORKSIZ = MAX( WORKSIZ,
$ MAX(5,NB)+2*NB )
END IF
*
FREE_PTR = FREE_PTR + IPREPAD
IP_DRIVER_W = FREE_PTR
FREE_PTR = FREE_PTR + WORKSIZ + IPOSTPAD
*
*
* Check for adequate memory for problem size
*
IERR( 1 ) = 0
IF( FREE_PTR.GT.MEMSIZ ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 ) 'factorization',
$ ( FREE_PTR )*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 30
END IF
*
CALL PZBMATGEN( ICTXT, 'T', 'D', BWL, BWU, N, (3), NB,
$ MEM( IPA ), NB+10, 0, 0, IASEED, MYROW,
$ MYCOL, NPROW, NPCOL )
CALL PZFILLPAD( ICTXT, NQ, NP, MEM( IPA-IPREPAD ),
$ NB+10, IPREPAD, IPOSTPAD,
$ PADVAL )
*
CALL PZFILLPAD( ICTXT, WORKSIZ, 1,
$ MEM( IP_DRIVER_W-IPREPAD ), WORKSIZ,
$ IPREPAD, IPOSTPAD, PADVAL )
*
* Calculate norm of A for residual error-checking
*
IF( CHECK ) THEN
*
ANORM = PZLANGE( 'I', N,
$ (3), MEM( IPA ), 1, 1,
$ DESCA2D, MEM( IP_DRIVER_W ) )
CALL PZCHEKPAD( ICTXT, 'PZLANGE', NQ, NP,
$ MEM( IPA-IPREPAD ), NB+10,
$ IPREPAD, IPOSTPAD, PADVAL )
CALL PZCHEKPAD( ICTXT, 'PZLANGE',
$ WORKSIZ, 1,
$ MEM( IP_DRIVER_W-IPREPAD ), WORKSIZ,
$ IPREPAD, IPOSTPAD, PADVAL )
END IF
*
*
CALL SLBOOT()
CALL BLACS_BARRIER( ICTXT, 'All' )
*
* Perform factorization
*
CALL SLTIMER( 1 )
*
CALL PZDTTRF( N, MEM( IPA+2*( NB+10 ) ),
$ MEM( IPA+1*( NB+10 ) ), MEM( IPA ), 1,
$ DESCA, MEM( IP_FILLIN ), FILLIN_SIZE,
$ MEM( IPW ), IPW_SIZE, INFO )
*
CALL SLTIMER( 1 )
*
IF( INFO.NE.0 ) THEN
IF( IAM.EQ.0 ) THEN
WRITE( NOUT, FMT = * ) 'PZDTTRF INFO=', INFO
ENDIF
KFAIL = KFAIL + 1
GO TO 30
END IF
*
IF( CHECK ) THEN
*
* Check for memory overwrite in factorization
*
CALL PZCHEKPAD( ICTXT, 'PZDTTRF', NQ,
$ NP, MEM( IPA-IPREPAD ), NB+10,
$ IPREPAD, IPOSTPAD, PADVAL )
END IF
*
*
* Loop over the different values for NRHS
*
DO 20 HH = 1, NNR
*
IERR( 1 ) = 0
*
NRHS = NRVAL( HH )
*
* Initialize Array Descriptor for rhs
*
CALL DESCINIT( DESCB2D, N, NRHS, NB, 1, 0, 0,
$ ICTXTB, NB+10, IERR( 1 ) )
*
* Convert this to 1D descriptor
*
DESCB( 1 ) = 502
DESCB( 3 ) = N
DESCB( 4 ) = NB
DESCB( 5 ) = 0
DESCB( 2 ) = ICTXT
DESCB( 6 ) = DESCB2D( LLD_ )
DESCB( 7 ) = 0
*
* reset free_ptr to reuse space for right hand sides
*
IF( IPB .GT. 0 ) THEN
FREE_PTR = IPB
ENDIF
*
FREE_PTR = FREE_PTR + IPREPAD
IPB = FREE_PTR
FREE_PTR = FREE_PTR + NRHS*DESCB2D( LLD_ )
$ + IPOSTPAD
*
* Allocate workspace for workspace in TRS routine:
*
IPW_SOLVE_SIZE = 10*NPCOL+4*NRHS
*
IPW_SOLVE = FREE_PTR
FREE_PTR = FREE_PTR + IPW_SOLVE_SIZE
*
IERR( 1 ) = 0
IF( FREE_PTR.GT.MEMSIZ ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 )'solve',
$ ( FREE_PTR )*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 15
END IF
*
MYRHS_SIZE = NUMROC( N, NB, MYCOL, 0, NPCOL )
*
* Generate RHS
*
CALL PZMATGEN(ICTXTB, 'No', 'No',
$ DESCB2D( M_ ), DESCB2D( N_ ),
$ DESCB2D( MB_ ), DESCB2D( NB_ ),
$ MEM( IPB ),
$ DESCB2D( LLD_ ), DESCB2D( RSRC_ ),
$ DESCB2D( CSRC_ ),
$ IBSEED, 0, MYRHS_SIZE, 0, NRHS, MYCOL,
$ MYROW, NPCOL, NPROW )
*
IF( CHECK ) THEN
CALL PZFILLPAD( ICTXTB, NB, NRHS,
$ MEM( IPB-IPREPAD ),
$ DESCB2D( LLD_ ),
$ IPREPAD, IPOSTPAD,
$ PADVAL )
CALL PZFILLPAD( ICTXT, WORKSIZ, 1,
$ MEM( IP_DRIVER_W-IPREPAD ),
$ WORKSIZ, IPREPAD,
$ IPOSTPAD, PADVAL )
END IF
*
*
CALL BLACS_BARRIER( ICTXT, 'All')
CALL SLTIMER( 2 )
*
* Solve linear system via factorization
*
CALL PZDTTRS( TRANS, N, NRHS,
$ MEM( IPA+2*( NB+10 ) ),
$ MEM( IPA+1*( NB+10 ) ), MEM( IPA ),
$ 1, DESCA, MEM( IPB ), 1, DESCB,
$ MEM( IP_FILLIN ), FILLIN_SIZE,
$ MEM( IPW_SOLVE ), IPW_SOLVE_SIZE,
$ INFO )
*
CALL SLTIMER( 2 )
*
IF( INFO.NE.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = * ) 'PZDTTRS INFO=', INFO
KFAIL = KFAIL + 1
PASSED = 'FAILED'
GO TO 20
END IF
*
IF( CHECK ) THEN
*
* check for memory overwrite
*
CALL PZCHEKPAD( ICTXT, 'PZDTTRS-work',
$ WORKSIZ, 1,
$ MEM( IP_DRIVER_W-IPREPAD ),
$ WORKSIZ, IPREPAD,
$ IPOSTPAD, PADVAL )
*
* check the solution to rhs
*
SRESID = ZERO
*
* Reset descriptor describing A to 1-by-P grid for
* use in banded utility routines
*
CALL DESCINIT( DESCA2D, (3), N,
$ (3), NB, 0, 0,
$ ICTXT, (3), IERR( 1 ) )
CALL PZDTLASCHK( 'N', 'D', TRANS,
$ N, BWL, BWU, NRHS,
$ MEM( IPB ), 1, 1, DESCB2D,
$ IASEED, MEM( IPA ), 1, 1, DESCA2D,
$ IBSEED, ANORM, SRESID,
$ MEM( IP_DRIVER_W ), WORKSIZ )
*
IF( IAM.EQ.0 ) THEN
IF( SRESID.GT.THRESH )
$ WRITE( NOUT, FMT = 9985 ) SRESID
END IF
*
* The second test is a NaN trap
*
IF( ( SRESID.LE.THRESH ).AND.
$ ( (SRESID-SRESID).EQ.0.0D+0 ) ) THEN
KPASS = KPASS + 1
PASSED = 'PASSED'
ELSE
KFAIL = KFAIL + 1
PASSED = 'FAILED'
END IF
*
END IF
*
15 CONTINUE
* Skipped tests jump to here to print out "SKIPPED"
*
* Gather maximum of all CPU and WALL clock timings
*
CALL SLCOMBINE( ICTXT, 'All', '>', 'W', 2, 1,
$ WTIME )
CALL SLCOMBINE( ICTXT, 'All', '>', 'C', 2, 1,
$ CTIME )
*
* Print results
*
IF( MYROW.EQ.0 .AND. MYCOL.EQ.0 ) THEN
*
NOPS = 0
NOPS2 = 0
*
N_FIRST = NB
NPROCS_REAL = ( N-1 )/NB + 1
N_LAST = MOD( N-1, NB ) + 1
*
* 2 N bwl INT_ONE + N (bwl) flops
* for LU factorization
*
NOPS = 2*(DBLE(N)*DBLE(BWL)*
$ DBLE(INT_ONE)) +
$ (DBLE(N)*DBLE(BWL))
*
* nrhs * 2 N*(bwl+INT_ONE) flops for LU solve.
*
NOPS = NOPS +
$ 2 * (DBLE(N)*(DBLE(BWL)+DBLE(INT_ONE))
$ *DBLE(NRHS))
*
* Multiply by 4 to get complex count
*
NOPS = NOPS * DBLE(4)
*
* Second calc to represent actual hardware speed
*
* 2*N_FIRST bwl*bwu Flops for LU
* factorization in proc 1
*
NOPS2 = 2*( (DBLE(N_FIRST)*
$ DBLE(BWL)*DBLE(BWU)))
*
IF ( NPROCS_REAL .GT. 1) THEN
* 8 N_LAST bwl*INT_ONE
* flops for LU and spike
* calc in last processor
*
NOPS2 = NOPS2 +
$ 8*( (DBLE(N_LAST)*DBLE(BWL)
$ *DBLE(INT_ONE)) )
ENDIF
*
IF ( NPROCS_REAL .GT. 2) THEN
* 8 NB bwl*INT_ONE flops for LU and spike
* calc in other processors
*
NOPS2 = NOPS2 + (NPROCS_REAL-2)*
$ 8*( (DBLE(NB)*DBLE(BWL)
$ *DBLE(INT_ONE)) )
ENDIF
*
* Reduced system
*
NOPS2 = NOPS2 +
$ 2*( NPROCS_REAL-1 ) *
$ ( BWL*INT_ONE*BWL/3 )
IF( NPROCS_REAL .GT. 1 ) THEN
NOPS2 = NOPS2 +
$ 2*( NPROCS_REAL-2 ) *
$ (2*BWL*INT_ONE*BWL)
ENDIF
*
* Solve stage
*
* nrhs*2 n_first*
* (bwl+INT_ONE)
* flops for L,U solve in proc 1.
*
NOPS2 = NOPS2 +
$ 2*
$ DBLE(N_FIRST)*
$ DBLE(NRHS) *
$ ( DBLE(BWL)+DBLE(INT_ONE))
*
IF ( NPROCS_REAL .GT. 1 ) THEN
*
* 2*nrhs*2 n_last
* (bwl+INT_ONE)
* flops for LU solve in other procs
*
NOPS2 = NOPS2 +
$ 4*
$ (DBLE(N_LAST)*(DBLE(BWL)+
$ DBLE(INT_ONE)))*DBLE(NRHS)
ENDIF
*
IF ( NPROCS_REAL .GT. 2 ) THEN
*
* 2*nrhs*2 NB
* (bwl+INT_ONE)
* flops for LU solve in other procs
*
NOPS2 = NOPS2 +
$ ( NPROCS_REAL-2)*2*
$ ( (DBLE(NB)*(DBLE(BWL)+
$ DBLE(INT_ONE)))*DBLE(NRHS) )
ENDIF
*
* Reduced system
*
NOPS2 = NOPS2 +
$ NRHS*( NPROCS_REAL-1)*2*(BWL*INT_ONE )
IF( NPROCS_REAL .GT. 1 ) THEN
NOPS2 = NOPS2 +
$ NRHS*( NPROCS_REAL-2 ) *
$ ( 6 * BWL*INT_ONE )
ENDIF
*
*
* Multiply by 4 to get complex count
*
NOPS2 = NOPS2 * DBLE(4)
*
* Calculate total megaflops - factorization and/or
* solve -- for WALL and CPU time, and print output
*
* Print WALL time if machine supports it
*
IF( WTIME( 1 ) + WTIME( 2 ) .GT. 0.0D+0 ) THEN
TMFLOPS = NOPS /
$ ( ( WTIME( 1 )+WTIME( 2 ) ) * 1.0D+6 )
ELSE
TMFLOPS = 0.0D+0
END IF
*
IF( WTIME( 1 )+WTIME( 2 ).GT.0.0D+0 ) THEN
TMFLOPS2 = NOPS2 /
$ ( ( WTIME( 1 )+WTIME( 2 ) ) * 1.0D+6 )
ELSE
TMFLOPS2 = 0.0D+0
END IF
*
IF( WTIME( 2 ).GE.0.0D+0 )
$ WRITE( NOUT, FMT = 9993 ) 'WALL', TRANS,
$ N,
$ BWL, BWU,
$ NB, NRHS, NPROW, NPCOL,
$ WTIME( 1 ), WTIME( 2 ), TMFLOPS,
$ TMFLOPS2, PASSED
*
* Print CPU time if machine supports it
*
IF( CTIME( 1 )+CTIME( 2 ).GT.0.0D+0 ) THEN
TMFLOPS = NOPS /
$ ( ( CTIME( 1 )+CTIME( 2 ) ) * 1.0D+6 )
ELSE
TMFLOPS = 0.0D+0
END IF
*
IF( CTIME( 1 )+CTIME( 2 ).GT.0.0D+0 ) THEN
TMFLOPS2 = NOPS2 /
$ ( ( CTIME( 1 )+CTIME( 2 ) ) * 1.0D+6 )
ELSE
TMFLOPS2 = 0.0D+0
END IF
*
IF( CTIME( 2 ).GE.0.0D+0 )
$ WRITE( NOUT, FMT = 9993 ) 'CPU ', TRANS,
$ N,
$ BWL, BWU,
$ NB, NRHS, NPROW, NPCOL,
$ CTIME( 1 ), CTIME( 2 ), TMFLOPS,
$ TMFLOPS2, PASSED
*
END IF
20 CONTINUE
*
*
30 CONTINUE
* NNB loop
*
45 CONTINUE
* BW[] loop
*
40 CONTINUE
* NMAT loop
*
CALL BLACS_GRIDEXIT( ICTXT )
CALL BLACS_GRIDEXIT( ICTXTB )
*
50 CONTINUE
* NGRIDS DROPOUT
60 CONTINUE
* NGRIDS loop
*
* 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 TR N BWL BWU NB NRHS P Q L*U Time ',
$ 'Slv Time MFLOPS MFLOP2 CHECK' )
9994 FORMAT( '---- -- ------ --- --- ---- ----- ---- ---- -------- ',
$ '-------- -------- -------- ------' )
9993 FORMAT( A4,1X,A1,2X,I6,1X,I3,1X,I3,1X,I4,1X,I5,
$ 1X,I4,1X,I4,1X,F9.3,
$ F9.4, F9.2, F9.2, 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( '||A - ', A4, '|| / (||A|| * N * eps) = ', G25.7 )
9985 FORMAT( '||Ax-b||/(||x||*||A||*eps*N) ', F25.7 )
*
STOP
*
* End of PZDTTRS_DRIVER
*
END
*
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