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|
***********************************************************************
* Test program for ScaLAPACK-style routine PSHSEQR *
***********************************************************************
*
* Contributor: Robert Granat and Meiyue Shao
* This version is of Feb 2011.
*
PROGRAM PSHSEQRDRIVER
*
* Declarations
*
IMPLICIT NONE
* ...Parameters...
LOGICAL BALANCE, COMPHESS, COMPRESI,
$ COMPORTH
LOGICAL DEBUG, PRN, TIMESTEPS, BARR,
$ UNI_LAPACK
INTEGER SLV_MIN, SLV_MAX
PARAMETER ( DEBUG = .FALSE.,
$ PRN = .FALSE.,
$ TIMESTEPS = .TRUE.,
$ COMPHESS = .TRUE.,
$ COMPRESI = .TRUE.,
$ COMPORTH = .TRUE.,
$ BALANCE = .TRUE.,
$ BARR = .FALSE.,
* Solver: 1-PSLAQR1, 2-PSHSEQR.
$ SLV_MIN = 2, SLV_MAX = 2,
$ UNI_LAPACK = .TRUE. )
INTEGER N, NB, ARSRC, ACSRC
PARAMETER (
* Problem size.
$ N = 500, NB = 50,
* What processor should hold the first element in A?
$ ARSRC = 0, ACSRC = 0 )
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 DPALLOC, INTALLC
INTEGER DPSIZ, INTSZ, NOUT, IZERO
PARAMETER ( DPSIZ = 8, DPALLOC = 8 000 000,
$ INTALLC = 8 000 000,
$ NOUT = 6, IZERO = 0)
#ifdef TEST_INT64
PARAMETER ( INTSZ = 8 )
#else
PARAMETER ( INTSZ = 4 )
#endif
REAL ZERO, ONE, TWO
PARAMETER ( ZERO = 0.0, ONE = 1.0, TWO = 2.0 )
*
* ...Local Scalars...
INTEGER ICTXT, IAM, NPROW, NPCOL, MYROW, MYCOL,
$ SYS_NPROCS, NPROCS, AROWS, ACOLS, TEMP_ICTXT
INTEGER THREADS
INTEGER INFO, KTOP, KBOT, ILO, IHI, I
INTEGER IPA, IPACPY, IPQ, WR1, WI1, WR2, WI2, IPW1,
$ IPW2, IPIW
INTEGER TOTIT, SWEEPS, TOTNS, HESS
REAL EPS, THRESH
DOUBLE PRECISION STAMP, TOTTIME, T_BA, T_GEN, T_HS, T_SCH, T_QR,
$ T_RES, ITPEREIG, SWPSPEIG, NSPEIG, SPEEDUP,
$ EFFICIENCY
REAL RNORM, ANORM, R1, ORTH, O1, O2, DPDUM, ELEM1,
$ ELEM2, ELEM3, EDIFF
INTEGER SOLVER
CHARACTER*6 PASSED
*
* ...Local Arrays...
INTEGER DESCA( DLEN_ ), DESCQ( DLEN_ ), DESCVEC( DLEN_ )
REAL SCALE( N )
REAL, ALLOCATABLE :: MEM(:)
INTEGER, ALLOCATABLE :: IMEM(:)
*
* ...Intrinsic Functions...
INTRINSIC INT, FLOAT, SQRT, MAX, MIN
*
* ...External Functions...
INTEGER NUMROC
REAL PSLAMCH, PSLANGE
DOUBLE PRECISION MPI_WTIME
EXTERNAL BLACS_PINFO, BLACS_GET, BLACS_GRIDINIT,
$ BLACS_GRIDINFO, BLACS_GRIDEXIT, BLACS_EXIT
EXTERNAL NUMROC, PSLAMCH, PSLASET, PSGEHRD, PSLANGE
EXTERNAL SGEBAL, SGEHRD
EXTERNAL MPI_WTIME
EXTERNAL PSGEBAL
EXTERNAL PSMATGEN2
*
* ...Executable statements...
*
CALL BLACS_PINFO( IAM, SYS_NPROCS )
NPROW = INT( SQRT( FLOAT(SYS_NPROCS) ) )
NPCOL = SYS_NPROCS / NPROW
CALL BLACS_GET( 0, 0, ICTXT )
CALL BLACS_GRIDINIT( ICTXT, '2D', NPROW, NPCOL )
CALL BLACS_GRIDINFO( ICTXT, NPROW, NPCOL, MYROW, MYCOL )
c print*, iam, ictxt, myrow, mycol
c IF ( ( MYROW.GE.NPROW ) .OR. ( MYCOL.GE.NPCOL ) ) GO TO 777
IF ( ICTXT.LT.0 ) GO TO 777
*
* Read out the number of underlying threads and set stack size in
* kilobytes.
*
THRESH = 30.0
TOTTIME = MPI_WTIME()
T_GEN = 0.0D+00
T_RES = 0.0D+00
T_SCH = 0.0D+00
*
* Allocate and Init memory with zeros.
*
INFO = 0
ALLOCATE ( MEM( DPALLOC ), STAT = INFO )
IF( INFO.NE.0 ) THEN
WRITE(*,*) '% Could not allocate MEM. INFO = ', INFO
GO TO 777
END IF
ALLOCATE ( IMEM( INTALLC ), STAT = INFO )
IF( INFO.NE.0 ) THEN
WRITE(*,*) '% Could not allocate IMEM. INFO = ', INFO
GO TO 777
END IF
MEM( 1:DPALLOC ) = ZERO
IMEM( 1:INTALLC ) = IZERO
*
* Get machine epsilon.
*
EPS = PSLAMCH( ICTXT, 'Epsilon' )
*
* Print welcoming message.
*
IF( IAM.EQ.0 ) THEN
WRITE(*,*)
WRITE(*,*) 'ScaLAPACK Test for PSHSEQR'
WRITE(*,*)
WRITE(*,*) 'epsilon = ', EPS
WRITE(*,*) 'threshold = ', THRESH
WRITE(*,*)
WRITE(*,*) 'Residual and Orthogonality Residual computed by:'
WRITE(*,*)
WRITE(*,*) 'Residual = ',
$ ' || T - Q^T*A*Q ||_F / ( ||A||_F * eps * sqrt(N) )'
WRITE(*,*)
WRITE(*,*) 'Orthogonality = ',
$ ' MAX( || I - Q^T*Q ||_F, || I - Q*Q^T ||_F ) / ',
$ ' (eps * N)'
WRITE(*,*)
WRITE(*,*)
$ 'Test passes if both residuals are less then threshold'
WRITE( NOUT, * )
WRITE( NOUT, FMT = 9995 )
WRITE( NOUT, FMT = 9994 )
END IF
*
* Loop over problem parameters.
*
DO KTOP = 1, 1
DO KBOT = N, N
DO SOLVER = SLV_MAX, SLV_MIN, -1
*
* Set INFO to zero for this run.
*
INFO = 0
NPROCS = NPROW*NPCOL
TEMP_ICTXT = ICTXT
*
* Count the number of rows and columns of current problem
* for the current block sizes and grid properties.
*
STAMP = MPI_WTIME()
AROWS = NUMROC( N, NB, MYROW, 0, NPROW )
ACOLS = NUMROC( N, NB, MYCOL, 0, NPCOL )
*
* Set up matrix descriptors.
*
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': Set up descriptors...'
IF( BARR ) CALL BLACS_BARRIER(ICTXT, 'A')
CALL DESCINIT( DESCA, N, N, NB, NB, MIN(ARSRC,NPROW-1),
$ MIN(NPCOL-1,ACSRC), TEMP_ICTXT, MAX(1, AROWS), INFO )
IF ( INFO.NE.0 ) THEN
WRITE(*,*) "% DESCINIT DESCA failed, INFO =", INFO
GO TO 999
END IF
CALL DESCINIT( DESCQ, N, N, NB, NB, MIN(ARSRC,NPROW-1),
$ MIN(NPCOL-1,ACSRC), TEMP_ICTXT, MAX(1, AROWS), INFO )
IF ( INFO.NE.0 ) THEN
WRITE(*,*) "% DESCINIT DESCQ failed, INFO =", INFO
GO TO 999
END IF
CALL DESCINIT( DESCVEC, N, 1, N, 1, MIN(ARSRC,NPROW-1),
$ MIN(NPCOL-1,ACSRC), TEMP_ICTXT, N, INFO )
IF ( INFO.NE.0 ) THEN
WRITE(*,*) "% DESCINIT DESCVEC failed, INFO =", INFO
GO TO 999
END IF
*
* Assign pointer for ScaLAPACK arrays - first set DP memory.
*
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': Assign pointers...'
IPA = 1
IPACPY = IPA + DESCA( LLD_ ) * ACOLS
IPQ = IPACPY + DESCA( LLD_ ) * ACOLS
WR1 = IPQ + DESCQ( LLD_ ) * ACOLS
WI1 = WR1 + N
WR2 = WI1 + N
WI2 = WR2 + N
IPW1 = WI2 + N
IPW2 = IPW1 + DESCA( LLD_ ) * ACOLS
IF( DEBUG ) WRITE(*,*) '% (IPW2,DPALLOC):', IPW2, DPALLOC
* PRINT*, '%', IPA, IPACPY, IPQ, WR1, WI1, WR2, WI2, IPW1, IPW2
IF( IPW2+DESCA(LLD_)*ACOLS .GT. DPALLOC+1 ) THEN
WRITE(*,*) '% Not enough DP memory!'
GO TO 999
END IF
*
* Then set integer memory pointers.
*
IPIW = 1
*
* Generate testproblem.
*
IF( BARR ) CALL BLACS_BARRIER(ICTXT, 'A')
CALL PSLASET( 'All over', N, N, ZERO, ONE, MEM(IPQ), 1, 1,
$ DESCQ )
CALL PSMATGEN2( TEMP_ICTXT, 'Random', 'NoDiagDominant',
$ N, N, NB, NB, MEM(IPA), DESCA( LLD_ ), 0, 0, 7, 0,
$ AROWS, 0, ACOLS, MYROW, MYCOL, NPROW, NPCOL )
IF( .NOT. COMPHESS ) THEN
CALL PSLASET( 'Lower triangular', N-2, N-2, ZERO, ZERO,
$ MEM(IPA), 3, 1, DESCA )
CALL PSLASET( 'All over', N, N, ZERO, ONE, MEM(IPQ),
$ 1, 1, DESCQ )
IF( KTOP.GT.1 )
$ CALL PSLASET( 'Lower triangular', KTOP-1, KTOP-1,
$ ZERO, ZERO, MEM(IPA), 2, 1, DESCQ )
IF( KBOT.LT.N )
$ CALL PSLASET( 'Lower triangular', N-KBOT, N-KBOT,
$ ZERO, ZERO, MEM(IPA), KBOT+1, KBOT, DESCQ )
END IF
*
* Do balancing if general matrix.
*
IF( BARR ) CALL BLACS_BARRIER(ICTXT, 'A')
T_BA = MPI_WTIME()
IF( COMPHESS .AND. BALANCE ) THEN
IF( NPROCS.EQ.1 .AND. SOLVER.NE.2 .AND. UNI_LAPACK ) THEN
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': == dgebal =='
CALL SGEBAL( 'Both', N, MEM(IPA), DESCA(LLD_), ILO,
$ IHI, SCALE, INFO )
IF ( INFO.NE.0 ) THEN
WRITE(*,*) "% SGEBAL failed, INFO =", INFO
GO TO 999
END IF
ELSE
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': == pdgebal =='
CALL PSGEBAL( 'Both', N, MEM(IPA), DESCA, ILO, IHI,
$ SCALE, INFO )
IF ( INFO.NE.0 ) THEN
WRITE(*,*) "% PSGEBAL failed, INFO =", INFO
GO TO 999
END IF
END IF
ELSEIF( COMPHESS ) THEN
ILO = 1
IHI = N
ELSE
ILO = KTOP
IHI = KBOT
END IF
T_BA = MPI_WTIME() - T_BA
c IF( TIMESTEPS.AND.IAM.EQ.0 ) WRITE(*,*)
c $ ' %%% Balancing took in seconds:',T_BA
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': ILO,IHI=',ILO,IHI
*
* Make a copy of A.
*
IF( BARR ) CALL BLACS_BARRIER(ICTXT, 'A')
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': Copy matrix A'
CALL PSLACPY( 'All', N, N, MEM(IPA), 1, 1, DESCA, MEM(IPACPY),
$ 1, 1, DESCA )
*
* Print matrices to screen in debugging mode.
*
IF( PRN )
$ CALL PSLAPRNT( N, N, MEM(IPACPY), 1, 1, DESCA, 0, 0,
$ 'A', NOUT, MEM(IPW1) )
T_GEN = T_GEN + MPI_WTIME() - STAMP - T_BA
c IF( TIMESTEPS.AND.IAM.EQ.0 ) WRITE(*,*)
c $ ' %%% Generation took in seconds:',T_GEN
*
* Only compute the Hessenberg form if necessary.
*
T_HS = MPI_WTIME()
IF( .NOT. COMPHESS ) GO TO 30
*
* Reduce A to Hessenberg form.
*
IF( BARR ) CALL BLACS_BARRIER(ICTXT, 'A')
IF( DEBUG ) WRITE(*,*) '% #', IAM,
$ ': Reduce to Hessenberg form...N=',N, ILO,IHI
* PRINT*, '% PSGEHRD: IPW2,MEM(IPW2)', IPW2, MEM(IPW2)
IF( NPROCS.EQ.1 .AND. SOLVER.NE.2 .AND. UNI_LAPACK ) THEN
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': == dgehrd =='
CALL SGEHRD( N, ILO, IHI, MEM(IPA), DESCA(LLD_),
$ MEM(IPW1), MEM(IPW2), -1, INFO )
IF (DPALLOC-IPW2.LT.MEM(IPW2)) THEN
WRITE(*,*) "% Not enough memory for SGEHRD"
GO TO 999
END IF
CALL SGEHRD( N, ILO, IHI, MEM(IPA), DESCA(LLD_),
$ MEM(IPW1), MEM(IPW2), DPALLOC-IPW2, INFO )
IF ( INFO.NE.0 ) THEN
WRITE(*,*) "% SGEHRD failed, INFO =", INFO
GO TO 999
END IF
ELSE
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': == pdgehrd =='
CALL PSGEHRD( N, ILO, IHI, MEM(IPA), 1, 1, DESCA, MEM(IPW1),
$ MEM(IPW2), -1, INFO )
IF (DPALLOC-IPW2.LT.MEM(IPW2)) THEN
WRITE(*,*) "% Not enough memory for PSGEHRD"
GO TO 999
END IF
CALL PSGEHRD( N, ILO, IHI, MEM(IPA), 1, 1, DESCA, MEM(IPW1),
$ MEM(IPW2), DPALLOC-IPW2, INFO )
IF ( INFO.NE.0 ) THEN
WRITE(*,*) "% PSGEHRD failed, INFO =", INFO
GO TO 999
END IF
END IF
*
* Form Q explicitly.
*
IF( BARR ) CALL BLACS_BARRIER(ICTXT, 'A')
IF( DEBUG ) WRITE(*,*) '% #', IAM, ':Form Q explicitly'
* PRINT*, '% PSORMHR: IPW2,MEM(IPW2)', IPW2, MEM(IPW2)
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': == pdormhr =='
CALL PSORMHR( 'L', 'N', N, N, ILO, IHI, MEM(IPA), 1, 1,
$ DESCA, MEM(IPW1), MEM(IPQ), 1, 1, DESCQ, MEM(IPW2),
$ -1, INFO )
IF (DPALLOC-IPW2.LT.MEM(IPW2)) THEN
WRITE(*,*) "% Not enough memory for PSORMHR"
GO TO 999
END IF
CALL PSORMHR( 'L', 'N', N, N, ILO, IHI, MEM(IPA), 1, 1,
$ DESCA, MEM(IPW1), MEM(IPQ), 1, 1, DESCQ, MEM(IPW2),
$ DPALLOC-IPW2, INFO )
IF ( INFO.NE.0 ) THEN
WRITE(*,*) "% PSORMHR failed, INFO =", INFO
GO TO 999
END IF
*
* Extract the upper Hessenberg part of A.
*
CALL PSLASET( 'Lower triangular', N-2, N-2, ZERO, ZERO,
$ MEM(IPA), 3, 1, DESCA )
*
* Print reduced matrix A in debugging mode.
*
IF( PRN ) THEN
CALL PSLAPRNT( N, N, MEM(IPA), 1, 1, DESCA, 0, 0, 'H', NOUT,
$ MEM(IPW1) )
CALL PSLAPRNT( N, N, MEM(IPQ), 1, 1, DESCQ, 0, 0, 'Q', NOUT,
$ MEM(IPW1) )
END IF
*
30 CONTINUE
T_HS = MPI_WTIME() - T_HS
c IF( TIMESTEPS.AND.IAM.EQ.0 ) WRITE(*,*)
c $ ' %%% Hessenberg took in seconds:',T_HS
*
* Compute the real Schur form of the Hessenberg matrix A.
*
IF( BARR ) CALL BLACS_BARRIER(ICTXT, 'A')
T_QR = MPI_WTIME()
IF( SOLVER.EQ.1 ) THEN
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': == pdlaqr1 =='
* PRINT*, '% PSLAQR1: IPW1,MEM(IPW1)', IPW1, MEM(IPW1)
CALL PSLAQR1( .TRUE., .TRUE., N, ILO, IHI, MEM(IPA), DESCA,
$ MEM(WR1), MEM(WI1), ILO, IHI, MEM(IPQ), DESCQ,
$ MEM(IPW1), -1, IMEM, -1, INFO )
IF (DPALLOC-IPW1.LT.MEM(IPW1)) THEN
WRITE(*,*) "% Not enough DP memory for PSLAQR1"
GO TO 999
END IF
IF (INTALLC.LT.IMEM(1)) THEN
WRITE(*,*) "% Not enough INT memory for PSLAQR1"
GO TO 999
END IF
CALL PSLAQR1( .TRUE., .TRUE., N, ILO, IHI, MEM(IPA), DESCA,
$ MEM(WR1), MEM(WI1), ILO, IHI, MEM(IPQ), DESCQ,
$ MEM(IPW1), DPALLOC-IPW1+1, IMEM, INTALLC, INFO )
IF (INFO.NE.0) THEN
WRITE(*,*) "% PSLAQR1: INFO =", INFO
END IF
ELSEIF( SOLVER.EQ.2 ) THEN
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': == pdhseqr =='
* PRINT*, '% PSHSEQR: IPW1,MEM(IPW1)', IPW1, MEM(IPW1)
IF( BARR ) CALL BLACS_BARRIER(ICTXT, 'A')
CALL PSHSEQR( 'Schur', 'Vectors', N, ILO, IHI, MEM(IPA),
$ DESCA, MEM(WR2), MEM(WI2), MEM(IPQ), DESCQ, MEM(IPW1),
$ -1, IMEM, -1, INFO )
IF( BARR ) CALL BLACS_BARRIER(ICTXT, 'A')
IF (DPALLOC-IPW1.LT.MEM(IPW1)) THEN
WRITE(*,*) "% Not enough DP memory for PSHSEQR"
GO TO 999
END IF
IF (INTALLC.LT.IMEM(1)) THEN
WRITE(*,*) "% Not enough INT memory for PSHSEQR"
GO TO 999
END IF
IF( BARR ) CALL BLACS_BARRIER(ICTXT, 'A')
CALL PSHSEQR( 'Schur', 'Vectors', N, ILO, IHI, MEM(IPA),
$ DESCA, MEM(WR2), MEM(WI2), MEM(IPQ), DESCQ, MEM(IPW1),
$ DPALLOC-IPW1+1, IMEM, INTALLC, INFO )
IF (INFO.NE.0) THEN
WRITE(*,*) "% PSHSEQR: INFO =", INFO
END IF
ELSE
WRITE(*,*) '% ERROR: Illegal SOLVER number!'
GO TO 999
END IF
T_QR = MPI_WTIME() - T_QR
c IF( TIMESTEPS.AND.IAM.EQ.0 ) WRITE(*,*)
c $ ' %%% QR-algorithm took in seconds:',T_QR
T_SCH = T_SCH + T_QR + T_HS + T_BA
* TOTIT = IMEM(1)
* SWEEPS = IMEM(2)
* TOTNS = IMEM(3)
ITPEREIG = FLOAT(TOTIT) / FLOAT(N)
SWPSPEIG = FLOAT(SWEEPS) / FLOAT(N)
NSPEIG = FLOAT(TOTNS) / FLOAT(N)
*
* Print reduced matrix A in debugging mode.
*
IF( PRN ) THEN
CALL PSLAPRNT( N, N, MEM(IPA), 1, 1, DESCA, 0, 0, 'T',
$ NOUT, MEM(IPW1) )
CALL PSLAPRNT( N, N, MEM(IPQ), 1, 1, DESCQ, 0, 0, 'Z',
$ NOUT, MEM(IPW1) )
END IF
*
* Check that returned Schur form is really a quasi-triangular
* matrix.
*
HESS = 0
DO I = 1, N-1
IF( I.GT.1 ) THEN
CALL PSELGET( 'All', '1-Tree', ELEM1, MEM(IPA), I, I-1,
$ DESCA )
ELSE
ELEM1 = ZERO
END IF
CALL PSELGET( 'All', '1-Tree', ELEM2, MEM(IPA), I+1, I,
$ DESCA )
IF( I.LT.N-1 ) THEN
CALL PSELGET( 'All', '1-Tree', ELEM3, MEM(IPA), I+2, I+1,
$ DESCA )
ELSE
ELEM3 = ZERO
END IF
IF( ELEM2.NE.ZERO .AND. ABS(ELEM1)+ABS(ELEM2)+ABS(ELEM3).GT.
$ ABS(ELEM2) ) HESS = HESS + 1
END DO
*
* Compute residual norms and other results:
*
* 1) RNORM = || T - Q'*A*Q ||_F / ||A||_F
* 2) ORTH = MAX( || I - Q'*Q ||_F, || I - Q*Q' ||_F ) /
* (epsilon*N)
*
STAMP = MPI_WTIME()
IF( COMPRESI ) THEN
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': Compute residuals 1'
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': pdgemm 3'
CALL PSGEMM( 'N', 'N', N, N, N, ONE, MEM(IPACPY), 1, 1,
$ DESCA, MEM(IPQ), 1, 1, DESCQ, ZERO, MEM(IPW1), 1, 1,
$ DESCA )
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': pdgemm 4'
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': N=',N
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': DESCA=',DESCA(1:DLEN_)
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': DESCQ=',DESCQ(1:DLEN_)
CALL PSGEMM( 'T', 'N', N, N, N, -ONE, MEM(IPQ), 1, 1,
$ DESCQ, MEM(IPW1), 1, 1, DESCA, ONE, MEM(IPA), 1, 1,
$ DESCA )
R1 = PSLANGE( 'Frobenius', N, N, MEM(IPA), 1, 1, DESCA,
$ DPDUM )
ANORM = PSLANGE( 'Frobenius', N, N, MEM(IPACPY), 1, 1,
$ DESCA, DPDUM )
IF( ANORM.GT.ZERO )THEN
RNORM = R1 / (ANORM*EPS*SQRT(FLOAT(N)))
ELSE
RNORM = R1
END IF
ELSE
RNORM = 0.0D0
END IF
*
IF( COMPORTH ) THEN
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': Compute residuals 2'
CALL PSLASET( 'All', N, N, ZERO, ONE, MEM(IPW1), 1, 1,
$ DESCQ )
CALL PSLACPY( 'All', N, N, MEM(IPQ), 1, 1, DESCQ, MEM(IPW2),
$ 1, 1, DESCQ )
CALL PSGEMM( 'T', 'N', N, N, N, -ONE, MEM(IPQ), 1, 1, DESCQ,
$ MEM(IPW2), 1, 1, DESCQ, ONE, MEM(IPW1), 1, 1, DESCQ )
O1 = PSLANGE( 'Frobenius', N, N, MEM(IPW1), 1, 1, DESCQ,
$ DPDUM )
CALL PSLASET( 'All', N, N, ZERO, ONE, MEM(IPW1), 1, 1,
$ DESCQ )
CALL PSGEMM( 'N', 'T', N, N, N, -ONE, MEM(IPQ), 1, 1, DESCQ,
$ MEM(IPW2), 1, 1, DESCQ, ONE, MEM(IPW1), 1, 1, DESCQ )
O2 = PSLANGE( 'Frobenius', N, N, MEM(IPW1), 1, 1, DESCQ,
$ DPDUM )
ORTH = MAX(O1,O2) / (EPS*FLOAT(N))
ELSE
ORTH = 0.0D0
END IF
*
T_RES = T_RES + MPI_WTIME() - STAMP
c IF( TIMESTEPS.AND.IAM.EQ.0 ) WRITE(*,*)
c $ ' %%% Residuals took in seconds:',T_RES
TOTTIME = MPI_WTIME() - TOTTIME
c IF( IAM.EQ.0 ) WRITE(*,*)
c $ ' %%% Total execution time in seconds:', TOTTIME
*
*
* Print results to screen.
*
IF( (ORTH.GT.THRESH).OR.(RNORM.GT.THRESH) ) THEN
PASSED = 'FAILED'
ELSE
PASSED = 'PASSED'
END IF
IF( DEBUG ) WRITE(*,*) '% #', IAM, ': Print results...'
IF( IAM.EQ.0 ) THEN
WRITE( NOUT, FMT = 9993 ) N, NB, NPROW, NPCOL, T_QR, PASSED
END IF
CALL BLACS_BARRIER( ICTXT, 'All' )
END DO
END DO
END DO
999 CONTINUE
*
* Deallocate MEM and IMEM.
*
DEALLOCATE( MEM, IMEM )
*
CALL BLACS_GRIDEXIT( ICTXT )
*
777 CONTINUE
*
CALL BLACS_EXIT( 0 )
*
* Format specifications.
*
6666 FORMAT(A2,A3,A6,A4,A5,A6,A3,A3,A3,A9,A9,A9,A8,A8,A9,A9,A9,A9,A9,
$ A9,A9,A9,A9,A9,A9,A5,A5,A8,A5,A5)
7777 FORMAT(A2,I3,I6,I4,I5,I6,I3,I3,I3,F9.2,F9.2,F9.2,F8.2,F8.2,F9.2,
$ F9.2,F9.2,F9.2,F9.2,F9.2,F9.2,F9.2,E9.2,E9.2,E9.2,I5,I5,
$ F8.4,I5,I5,A2)
9995 FORMAT( ' N NB P Q QR Time CHECK' )
9994 FORMAT( '----- --- ---- ---- -------- ------' )
9993 FORMAT( I5, 1X, I3, 1X, I4, 1X, I4, 1X, F8.2, 1X, A6 )
*
END
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