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|
SUBROUTINE PZSEPRSUBTST( WKNOWN, JOBZ, RANGE, UPLO, N, VL, VU, IL,
$ IU, THRESH, ABSTOL, A, COPYA, Z, IA, JA,
$ DESCA, WIN, WNEW, IFAIL, ICLUSTR, GAP,
$ IPREPAD, IPOSTPAD, WORK, LWORK, RWORK,
$ LRWORK, LWORK1, IWORK, LIWORK, RESULT,
$ TSTNRM, QTQNRM, NOUT )
*
* -- ScaLAPACK routine (@(MODE)version *TBA*) --
* University of California, Berkeley and
* University of Tennessee, Knoxville.
* October 21, 2006
*
IMPLICIT NONE
*
* .. Scalar Arguments ..
LOGICAL WKNOWN
CHARACTER JOBZ, RANGE, UPLO
INTEGER IA, IL, IPOSTPAD, IPREPAD, IU, JA, LIWORK,
$ LWORK, LWORK1, N, NOUT, RESULT
DOUBLE PRECISION ABSTOL, QTQNRM, THRESH, TSTNRM, VL, VU
INTEGER LRWORK
* ..
* .. Array Arguments ..
INTEGER DESCA( * ), ICLUSTR( * ), IFAIL( * ),
$ IWORK( * )
COMPLEX*16 A( * ), COPYA( * ), WORK( * ), Z( * )
DOUBLE PRECISION GAP( * ), RWORK( * ), WIN( * ), WNEW( * )
* ..
*
* Purpose
* =======
*
* PZSEPRSUBTST calls PZSYEVR and then tests its output.
* If JOBZ = 'V' then the following two tests are performed:
* |AQ -QL| / (abstol + eps * norm(A) ) < N*THRESH
* |QT * Q - I| / eps < N*THRESH
* If WKNOWN then
* we check to make sure that the eigenvalues match expectations
* i.e. |WIN - WNEW(1+IPREPAD)| / (eps * |WIN|) < THRESH
* where WIN is the array of eigenvalues computed.
*
* Arguments
* =========
*
* NP = the number of rows local to a given process.
* NQ = the number of columns local to a given process.
*
* WKNOWN (global input) INTEGER
* .FALSE.: WIN does not contain the eigenvalues
* .TRUE.: WIN does contain the eigenvalues
*
* JOBZ (global input) CHARACTER*1
* Specifies whether or not to compute the eigenvectors:
* = 'N': Compute eigenvalues only.
* = 'V': Compute eigenvalues and eigenvectors.
* Must be 'V' on first call.
*
* RANGE (global input) CHARACTER*1
* = 'A': all eigenvalues will be found.
* = 'V': all eigenvalues in the interval [VL,VU]
* will be found.
* = 'I': the IL-th through IU-th eigenvalues will be found.
* Must be 'A' on first call.
*
* UPLO (global input) CHARACTER*1
* Specifies whether the upper or lower triangular part of the
* matrix A is stored:
* = 'U': Upper triangular
* = 'L': Lower triangular
*
* N (global input) INTEGER
* Size of the matrix to be tested. (global size)
*
* VL (global input) DOUBLE PRECISION
* If RANGE='V', the lower bound of the interval to be searched
* for eigenvalues. Not referenced if RANGE = 'A' or 'I'.
*
* VU (global input) DOUBLE PRECISION
* If RANGE='V', the upper bound of the interval to be searched
* for eigenvalues. Not referenced if RANGE = 'A' or 'I'.
*
* IL (global input) INTEGER
* If RANGE='I', the index (from smallest to largest) of the
* smallest eigenvalue to be returned. IL >= 1.
* Not referenced if RANGE = 'A' or 'V'.
*
* IU (global input) INTEGER
* If RANGE='I', the index (from smallest to largest) of the
* largest eigenvalue to be returned. min(IL,N) <= IU <= N.
* Not referenced if RANGE = 'A' or 'V'.
*
* THRESH (global input) DOUBLE PRECISION
* A test will count as "failed" if the "error", computed as
* described below, exceeds THRESH. Note that the error
* is scaled to be O(1), so THRESH should be a reasonably
* small multiple of 1, e.g., 100 or 250. In particular,
* it should not depend on the size of the matrix.
* It must be at least zero.
*
* ABSTOL (global input) DOUBLE PRECISION
* The absolute tolerance for the residual test.
*
* A (local workspace) COMPLEX*16 array
* global dimension (N, N), local dimension (DESCA(DLEN_), NQ)
* The test matrix, which is subsequently overwritten.
* A is distributed in a 2D-block cyclic manner over both rows
* and columns.
* A has already been padded front and back, use A(1+IPREPAD)
*
* COPYA (local input) COMPLEX*16 array, dimension(N*N)
* COPYA holds a copy of the original matrix A
* identical in both form and content to A
*
* Z (local workspace) COMPLEX*16 array, dim (N*N)
* Z is distributed in the same manner as A
* Z contains the eigenvector matrix
* Z is used as workspace by the test routines
* PZSEPCHK and PZSEPQTQ.
* Z has already been padded front and back, use Z(1+IPREPAD)
*
* IA (global input) INTEGER
* On entry, IA specifies the global row index of the submatrix
* of the global matrix A, COPYA and Z to operate on.
*
* JA (global input) INTEGER
* On entry, IA specifies the global column index of the submat
* of the global matrix A, COPYA and Z to operate on.
*
* DESCA (global/local input) INTEGER array of dimension 8
* The array descriptor for the matrix A, COPYA and Z.
*
* WIN (global input) DOUBLE PRECISION array, dimension (N)
* If .not. WKNOWN, WIN is ignored on input
* Otherwise, WIN() is taken as the standard by which the
* eigenvalues are to be compared against.
*
* WNEW (global workspace) DOUBLE PRECISION array, dimension (N)
* The computed eigenvalues.
* If JOBZ <> 'V' or RANGE <> 'A' these eigenvalues are
* compared against those in WIN().
* WNEW has already been padded front and back,
* use WNEW(1+IPREPAD)
*
* IFAIL (global output) INTEGER array, dimension (N)
* If JOBZ = 'V', then on normal exit, the first M elements of
* IFAIL are zero. If INFO > 0 on exit, then IFAIL contains the
* indices of the eigenvectors that failed to converge.
* If JOBZ = 'N', then IFAIL is not referenced.
* IFAIL has already been padded front and back,
* use IFAIL(1+IPREPAD)
*
* ICLUSTR (global workspace) integer array, dimension (2*NPROW*NPCOL)
*
* GAP (global workspace) DOUBLE PRECISION array,
* dimension (NPROW*NPCOL)
*
* WORK (local workspace) COMPLEX*16 array, dimension (LWORK)
* WORK has already been padded front and back,
* use WORK(1+IPREPAD)
*
* LWORK (local input) INTEGER
* The actual length of the array WORK after padding.
*
* RWORK (local workspace) DOUBLE PRECISION array, dimension (LRWORK)
* RWORK has already been padded front and back,
* use RWORK(1+IPREPAD)
*
* LRWORK (local input) INTEGER
* The actual length of the array RWORK after padding.
*
* LWORK1 (local input) INTEGER
* The amount of real workspace to pass to the eigensolver.
*
* IWORK (local workspace) INTEGER array, dimension (LIWORK)
* IWORK has already been padded front and back,
* use IWORK(1+IPREPAD)
*
* LIWORK (local input) INTEGER
* The length of the array IWORK after padding.
*
* RESULT (global output) INTEGER
* The result of this call.
* RESULT = -3 => This process did not participate
* RESULT = 0 => All tests passed
* RESULT = 1 => ONe or more tests failed
*
* TSTNRM (global output) DOUBLE PRECISION
* |AQ- QL| / (ABSTOL+EPS*|A|)*N
*
* QTQNRM (global output) DOUBLE PRECISION
* |QTQ -I| / N*EPS
*
* .. Parameters ..
*
INTEGER DLEN_, CTXT_, M_, N_,
$ MB_, NB_, RSRC_, CSRC_, LLD_
PARAMETER ( DLEN_ = 9,
$ CTXT_ = 2, M_ = 3, N_ = 4, MB_ = 5, NB_ = 6,
$ RSRC_ = 7, CSRC_ = 8, LLD_ = 9 )
DOUBLE PRECISION PADVAL, FIVE, NEGONE
PARAMETER ( PADVAL = 13.5285D0, FIVE = 5.0D0,
$ NEGONE = -1.0D0 )
COMPLEX*16 ZPADVAL
PARAMETER ( ZPADVAL = ( 13.989D0, 1.93D0 ) )
INTEGER IPADVAL
PARAMETER ( IPADVAL = 927 )
* ..
* .. Local Scalars ..
LOGICAL MISSLARGEST, MISSSMALLEST
INTEGER I, IAM, INDIWRK, INFO, ISIZESUBTST, ISIZEEVR,
$ ISIZETST, J, M, MAXEIGS, MAXIL, MAXIU, MAXSIZE,
$ MINIL, MQ, MYCOL, MYIL, MYROW, NCLUSTERS, NP,
$ NPCOL, NPROW, NQ, NZ, OLDIL, OLDIU, OLDNZ, RES,
$ SIZECHK, SIZEMQRLEFT, SIZEMQRRIGHT, SIZEQRF,
$ SIZEQTQ, SIZESUBTST, SIZEEVR, SIZETMS,
$ SIZETST, VALSIZE, VECSIZE
INTEGER RSIZEEVR, RSIZESUBTST, RSIZETST
DOUBLE PRECISION EPS, EPSNORMA, ERROR, MAXERROR, MAXVU,
$ MINERROR, MINVL, NORMWIN, OLDVL, OLDVU,
$ SAFMIN
* ..
* .. Local Arrays ..
INTEGER DESCZ( DLEN_ ), ISEED( 4 ), ITMP( 2 )
* ..
* .. External Functions ..
*
LOGICAL LSAME
INTEGER NUMROC
DOUBLE PRECISION PDLAMCH, PZLANHE
EXTERNAL LSAME, NUMROC, PDLAMCH, PZLANHE
* ..
* .. External Subroutines ..
EXTERNAL BLACS_GRIDINFO, DESCINIT, DGAMN2D, DGAMX2D,
$ IGAMN2D, IGAMX2D, PDCHEKPAD, PDFILLPAD,
$ PICHEKPAD, PIFILLPAD, PZCHEKPAD, PZELSET,
$ PZFILLPAD, PZHEEVR, PZLASIZEHEEVR,
$ PZLASIZESEPR, PZSEPCHK, PZSEPQTQ, SLBOOT,
$ SLTIMER, ZLACPY
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX, MIN, MOD
* ..
* .. Executable Statements ..
*
CALL PZLASIZESEPR( DESCA, IPREPAD, IPOSTPAD, SIZEMQRLEFT,
$ SIZEMQRRIGHT, SIZEQRF, SIZETMS, SIZEQTQ,
$ SIZECHK, SIZEEVR, RSIZEEVR, ISIZEEVR,
$ SIZESUBTST, RSIZESUBTST, ISIZESUBTST,
$ SIZETST, RSIZETST, ISIZETST )
*
TSTNRM = NEGONE
QTQNRM = NEGONE
EPS = PDLAMCH( DESCA( CTXT_ ), 'Eps' )
SAFMIN = PDLAMCH( DESCA( CTXT_ ), 'Safe min' )
*
NORMWIN = SAFMIN / EPS
IF( N.GE.1 )
$ NORMWIN = MAX( ABS( WIN( 1 ) ), ABS( WIN( N ) ), NORMWIN )
*
* Make sure that no information from previous calls is used
*
NZ = -13
OLDNZ = NZ
OLDIL = IL
OLDIU = IU
OLDVL = VL
OLDVU = VU
*
DO 10 I = 1, LWORK1, 1
RWORK( I+IPREPAD ) = 14.3D0
10 CONTINUE
*
DO 15 I = 1, LWORK, 1
WORK( I+IPREPAD ) = ( 15.63D0, 1.1D0 )
15 CONTINUE
*
DO 20 I = 1, LIWORK, 1
IWORK( I+IPREPAD ) = 14
20 CONTINUE
*
DO 30 I = 1, N
WNEW( I+IPREPAD ) = 3.14159D0
30 CONTINUE
*
ICLUSTR( 1+IPREPAD ) = 139
*
IF (LSAME( RANGE, 'V' ) ) THEN
* WRITE(*,*) 'VL VU = ', VL, ' ', VU
END IF
IF( LSAME( JOBZ, 'N' ) ) THEN
MAXEIGS = 0
ELSE
IF( LSAME( RANGE, 'A' ) ) THEN
MAXEIGS = N
ELSE IF( LSAME( RANGE, 'I' ) ) THEN
MAXEIGS = IU - IL + 1
ELSE
MINVL = VL - NORMWIN*FIVE*EPS - ABSTOL
MAXVU = VU + NORMWIN*FIVE*EPS + ABSTOL
* WRITE(*,*) 'MINVL = ', MINVL, ' MAXVU = ', MAXVU
* WRITE(*,*) 'WIN = ', WIN( 1 )
MINIL = 1
MAXIU = 0
DO 40 I = 1, N
IF( WIN( I ).LT.MINVL )
$ MINIL = MINIL + 1
IF( WIN( I ).LE.MAXVU )
$ MAXIU = MAXIU + 1
40 CONTINUE
*
MAXEIGS = MAXIU - MINIL + 1
END IF
END IF
*
*
CALL DESCINIT( DESCZ, DESCA( M_ ), DESCA( N_ ), DESCA( MB_ ),
$ DESCA( NB_ ), DESCA( RSRC_ ), DESCA( CSRC_ ),
$ DESCA( CTXT_ ), DESCA( LLD_ ), INFO )
*
CALL BLACS_GRIDINFO( DESCA( CTXT_ ), NPROW, NPCOL, MYROW, MYCOL )
INDIWRK = 1 + IPREPAD + NPROW*NPCOL + 1
*
IAM = 1
IF( MYROW.EQ.0 .AND. MYCOL.EQ.0 )
$ IAM = 0
*
* If this process is not involved in this test, bail out now
*
RESULT = -3
IF( MYROW.GE.NPROW .OR. MYROW.LT.0 )
$ GO TO 150
RESULT = 0
*
ISEED( 1 ) = 1
*
CALL PZLASIZEHEEVR( WKNOWN, RANGE, N, DESCA, VL, VU, IL, IU,
$ ISEED, WIN, MAXSIZE, VECSIZE, VALSIZE )
*
NP = NUMROC( N, DESCA( MB_ ), MYROW, 0, NPROW )
NQ = NUMROC( N, DESCA( NB_ ), MYCOL, 0, NPCOL )
MQ = NUMROC( MAXEIGS, DESCA( NB_ ), MYCOL, 0, NPCOL )
*
CALL ZLACPY( 'A', NP, NQ, COPYA, DESCA( LLD_ ), A( 1+IPREPAD ),
$ DESCA( LLD_ ) )
*
CALL PZFILLPAD( DESCA( CTXT_ ), NP, NQ, A, DESCA( LLD_ ), IPREPAD,
$ IPOSTPAD, ZPADVAL )
*
CALL PZFILLPAD( DESCZ( CTXT_ ), NP, MQ, Z, DESCZ( LLD_ ), IPREPAD,
$ IPOSTPAD, ZPADVAL+1.0D0 )
*
* WRITE(*,*) ' NP = ', NP, ' MQ = ', MQ, ' LDZ = ', DESCZ( LLD_ ),
* $ ' IPREPAD = ', IPREPAD, ' IPOSTPAD = ', IPOSTPAD,
* $ ' MAXEIGS = ', MAXEIGS
* WRITE(*,*) ' PADZ( 1 ) = ', Z( 1 ), ' PADZ( 2 ) = ', Z( 2 ),
* $ ' PADZ( 3 ) = ', Z( 3 ), ' PADZ( 4 ) = ', Z( 4 )
*
CALL PDFILLPAD( DESCA( CTXT_ ), N, 1, WNEW, N, IPREPAD, IPOSTPAD,
$ PADVAL+2.0D0 )
*
CALL PDFILLPAD( DESCA( CTXT_ ), NPROW*NPCOL, 1, GAP, NPROW*NPCOL,
$ IPREPAD, IPOSTPAD, PADVAL+3.0D0 )
*
CALL PDFILLPAD( DESCA( CTXT_ ), LWORK1, 1, RWORK,LWORK1, IPREPAD,
$ IPOSTPAD, PADVAL+4.0D0 )
*
CALL PIFILLPAD( DESCA( CTXT_ ), LIWORK, 1, IWORK, LIWORK, IPREPAD,
$ IPOSTPAD, IPADVAL )
*
CALL PIFILLPAD( DESCA( CTXT_ ), N, 1, IFAIL, N, IPREPAD, IPOSTPAD,
$ IPADVAL )
*
CALL PIFILLPAD( DESCA( CTXT_ ), 2*NPROW*NPCOL, 1, ICLUSTR,
$ 2*NPROW*NPCOL, IPREPAD, IPOSTPAD, IPADVAL )
*
CALL PZFILLPAD( DESCA( CTXT_ ), LWORK, 1, WORK, LWORK, IPREPAD,
$ IPOSTPAD, ZPADVAL+4.1D0 )
*
* Make sure that PZHEEVR does not cheat (i.e. use answers
* already computed.)
*
DO 60 I = 1, N, 1
DO 50 J = 1, MAXEIGS, 1
CALL PZELSET( Z( 1+IPREPAD ), I, J, DESCA,
$ ( 13.0D0, 1.34D0 ) )
50 CONTINUE
60 CONTINUE
*
* Reset and start the timer
*
CALL SLBOOT
CALL SLTIMER( 1 )
CALL SLTIMER( 6 )
*********************************
*
* Main call to PZHEEVR
*
CALL PZHEEVR( JOBZ, RANGE, UPLO, N, A( 1+IPREPAD ), IA, JA, DESCA,
$ VL, VU, IL, IU, M, NZ, WNEW( 1+IPREPAD ),
$ Z( 1+IPREPAD ), IA, JA, DESCA,
$ WORK( 1+IPREPAD ), SIZEEVR,
$ RWORK( 1+IPREPAD ), LWORK1,
$ IWORK( 1+IPREPAD ), LIWORK, INFO )
*
*********************************
*
* Stop timer
*
CALL SLTIMER( 6 )
CALL SLTIMER( 1 )
*
* Indicate that there are no unresolved clusters.
* This is necessary so that the tester
* (adapted from the one originally made for PDSYEVX)
* works correctly.
ICLUSTR( 1+IPREPAD ) = 0
*
IF( THRESH.LE.0 ) THEN
RESULT = 0
ELSE
CALL PZCHEKPAD( DESCA( CTXT_ ), 'PZHEEVR-A', NP, NQ, A,
$ DESCA( LLD_ ), IPREPAD, IPOSTPAD, ZPADVAL )
*
CALL PZCHEKPAD( DESCZ( CTXT_ ), 'PZHEEVR-Z', NP, MQ, Z,
$ DESCZ( LLD_ ), IPREPAD, IPOSTPAD,
$ ZPADVAL+1.0D0 )
*
CALL PDCHEKPAD( DESCA( CTXT_ ), 'PZHEEVR-WNEW', N, 1, WNEW, N,
$ IPREPAD, IPOSTPAD, PADVAL+2.0D0 )
*
CALL PDCHEKPAD( DESCA( CTXT_ ), 'PZHEEVR-GAP', NPROW*NPCOL, 1,
$ GAP, NPROW*NPCOL, IPREPAD, IPOSTPAD,
$ PADVAL+3.0D0 )
*
CALL PDCHEKPAD( DESCA( CTXT_ ), 'PZHEEVR-RWORK',LWORK1, 1,
$ RWORK, LWORK1, IPREPAD, IPOSTPAD,
$ PADVAL+4.0D0 )
*
CALL PZCHEKPAD( DESCA( CTXT_ ), 'PZHEEVR-WORK',LWORK, 1,
$ WORK, LWORK, IPREPAD, IPOSTPAD,
$ ZPADVAL+4.1D0 )
*
CALL PICHEKPAD( DESCA( CTXT_ ), 'PZHEEVR-IWORK', LIWORK, 1,
$ IWORK, LIWORK, IPREPAD, IPOSTPAD, IPADVAL )
*
CALL PICHEKPAD( DESCA( CTXT_ ), 'PZHEEVR-IFAIL', N, 1, IFAIL,
$ N, IPREPAD, IPOSTPAD, IPADVAL )
*
CALL PICHEKPAD( DESCA( CTXT_ ), 'PZHEEVR-ICLUSTR',
$ 2*NPROW*NPCOL, 1, ICLUSTR, 2*NPROW*NPCOL,
$ IPREPAD, IPOSTPAD, IPADVAL )
*
* If we now know the spectrum, we can potentially reduce MAXSIZE.
*
IF( LSAME( RANGE, 'A' ) ) THEN
CALL PZLASIZEHEEVR( .TRUE., RANGE, N, DESCA, VL, VU, IL, IU,
$ ISEED, WNEW( 1+IPREPAD ), MAXSIZE,
$ VECSIZE, VALSIZE )
END IF
*
* Check INFO
* Make sure that all processes return the same value of INFO
*
ITMP( 1 ) = INFO
ITMP( 2 ) = INFO
*
CALL IGAMN2D( DESCA( CTXT_ ), 'a', ' ', 1, 1, ITMP, 1, 1, 1,
$ -1, -1, 0 )
CALL IGAMX2D( DESCA( CTXT_ ), 'a', ' ', 1, 1, ITMP( 2 ), 1, 1,
$ 1, -1, -1, 0 )
*
*
IF( ITMP( 1 ).NE.ITMP( 2 ) ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = * )
$ 'Different processes return different INFO'
RESULT = 1
ELSE IF( MOD( INFO, 2 ).EQ.1 .OR. INFO.GT.7 .OR. INFO.LT.0 )
$ THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9999 )INFO
RESULT = 1
ELSE IF( MOD( INFO / 2, 2 ).EQ.1 .AND. LWORK1.GE.MAXSIZE ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 )INFO
RESULT = 1
ELSE IF( MOD( INFO / 4, 2 ).EQ.1 .AND. LWORK1.GE.VECSIZE ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9996 )INFO
RESULT = 1
END IF
*
IF( LSAME( JOBZ, 'V' ) .AND. ( ICLUSTR( 1+IPREPAD ).NE.
$ 0 ) .AND. ( MOD( INFO / 2, 2 ).NE.1 ) ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9995 )
RESULT = 1
END IF
*
* Check M
*
IF( ( M.LT.0 ) .OR. ( M.GT.N ) ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9994 )
WRITE( NOUT,*) 'M = ', M, '\n', 'N = ', N
RESULT = 1
ELSE IF( LSAME( RANGE, 'A' ) .AND. ( M.NE.N ) ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9993 )
RESULT = 1
ELSE IF( LSAME( RANGE, 'I' ) .AND. ( M.NE.IU-IL+1 ) ) THEN
IF( IAM.EQ.0 ) THEN
WRITE( NOUT, FMT = 9992 )
WRITE( NOUT,*) 'IL = ', IL, ' IU = ', IU, ' M = ', M
END IF
RESULT = 1
ELSE IF( LSAME( JOBZ, 'V' ) .AND.
$ ( .NOT.( LSAME( RANGE, 'V' ) ) ) .AND. ( M.NE.NZ ) )
$ THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9991 )
RESULT = 1
END IF
*
* Check NZ
*
IF( LSAME( JOBZ, 'V' ) ) THEN
IF( LSAME( RANGE, 'V' ) ) THEN
IF( NZ.GT.M ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9990 )
RESULT = 1
END IF
IF( NZ.LT.M .AND. MOD( INFO / 4, 2 ).NE.1 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9989 )
RESULT = 1
END IF
ELSE
IF( NZ.NE.M ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9988 )
RESULT = 1
END IF
END IF
END IF
IF( RESULT.EQ.0 ) THEN
*
* Make sure that all processes return the same # of eigenvalues
*
ITMP( 1 ) = M
ITMP( 2 ) = M
*
CALL IGAMN2D( DESCA( CTXT_ ), 'a', ' ', 1, 1, ITMP, 1, 1, 1,
$ -1, -1, 0 )
CALL IGAMX2D( DESCA( CTXT_ ), 'a', ' ', 1, 1, ITMP( 2 ), 1,
$ 1, 1, -1, -1, 0 )
*
IF( ITMP( 1 ).NE.ITMP( 2 ) ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9987 )
RESULT = 1
ELSE
*
* Ensure that different processes return the same eigenvalues
*
DO 70 I = 1, M
RWORK( I ) = WNEW( I+IPREPAD )
RWORK( I+M ) = WNEW( I+IPREPAD )
70 CONTINUE
*
CALL DGAMN2D( DESCA( CTXT_ ), 'a', ' ', M, 1, RWORK, M,
$ 1, 1, -1, -1, 0 )
CALL DGAMX2D( DESCA( CTXT_ ), 'a', ' ', M, 1,
$ RWORK( 1+M ), M, 1, 1, -1, -1, 0 )
*
DO 80 I = 1, M
IF( RESULT.EQ.0 .AND. ( ABS( RWORK( I )-RWORK( M+
$ I ) ).GT.FIVE*EPS*ABS( RWORK( I ) ) ) ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9986 )
RESULT = 1
END IF
80 CONTINUE
END IF
END IF
*
* Make sure that all processes return the same # of clusters
*
IF( LSAME( JOBZ, 'V' ) ) THEN
NCLUSTERS = 0
DO 90 I = 0, NPROW*NPCOL - 1
IF( ICLUSTR( 1+IPREPAD+2*I ).EQ.0 )
$ GO TO 100
NCLUSTERS = NCLUSTERS + 1
90 CONTINUE
100 CONTINUE
ITMP( 1 ) = NCLUSTERS
ITMP( 2 ) = NCLUSTERS
*
CALL IGAMN2D( DESCA( CTXT_ ), 'a', ' ', 1, 1, ITMP, 1, 1, 1,
$ -1, -1, 0 )
CALL IGAMX2D( DESCA( CTXT_ ), 'a', ' ', 1, 1, ITMP( 2 ), 1,
$ 1, 1, -1, -1, 0 )
*
IF( ITMP( 1 ).NE.ITMP( 2 ) ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9985 )
RESULT = 1
ELSE
*
* Make sure that different processes return the same clusters
*
DO 110 I = 1, NCLUSTERS
IWORK( INDIWRK+I ) = ICLUSTR( I+IPREPAD )
IWORK( INDIWRK+I+NCLUSTERS ) = ICLUSTR( I+IPREPAD )
110 CONTINUE
CALL IGAMN2D( DESCA( CTXT_ ), 'a', ' ', NCLUSTERS*2+1, 1,
$ IWORK( INDIWRK+1 ), NCLUSTERS*2+1, 1, 1,
$ -1, -1, 0 )
CALL IGAMX2D( DESCA( CTXT_ ), 'a', ' ', NCLUSTERS*2+1, 1,
$ IWORK( INDIWRK+1+NCLUSTERS ),
$ NCLUSTERS*2+1, 1, 1, -1, -1, 0 )
*
DO 120 I = 1, NCLUSTERS
IF( RESULT.EQ.0 .AND. IWORK( INDIWRK+I ).NE.
$ IWORK( INDIWRK+NCLUSTERS+I ) ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9984 )
RESULT = 1
END IF
120 CONTINUE
*
IF( ICLUSTR( 1+IPREPAD+NCLUSTERS*2 ).NE.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9983 )
RESULT = 1
END IF
END IF
END IF
*
CALL IGAMX2D( DESCA( CTXT_ ), 'a', ' ', 1, 1, RESULT, 1, 1, 1,
$ -1, -1, 0 )
IF( RESULT.NE.0 )
$ GO TO 150
*
* Compute eps * norm(A)
*
IF( N.EQ.0 ) THEN
EPSNORMA = EPS
ELSE
EPSNORMA = PZLANHE( 'I', UPLO, N, COPYA, IA, JA, DESCA,
$ RWORK )*EPS
END IF
*
IF( LSAME( JOBZ, 'V' ) ) THEN
*
* Perform the |A Z - Z W| test
*
CALL PDFILLPAD( DESCA( CTXT_ ), SIZECHK, 1, RWORK,SIZECHK,
$ IPREPAD, IPOSTPAD, 4.3D0 )
*
CALL PZSEPCHK( N, NZ, COPYA, IA, JA, DESCA,
$ MAX( ABSTOL+EPSNORMA, SAFMIN ), THRESH,
$ Z( 1+IPREPAD ), IA, JA, DESCZ,
$ A( 1+IPREPAD ), IA, JA, DESCA,
$ WNEW( 1+IPREPAD ), RWORK( 1+IPREPAD ),
$ SIZECHK, TSTNRM, RES )
*
CALL PDCHEKPAD( DESCA( CTXT_ ), 'PZSEPCHK-RWORK',SIZECHK, 1,
$ RWORK,SIZECHK, IPREPAD, IPOSTPAD, 4.3D0 )
*
IF( RES.NE.0 )
$ RESULT = 1
*
* Perform the |QTQ - I| test
*
CALL PDFILLPAD( DESCA( CTXT_ ), SIZEQTQ, 1,RWORK, SIZEQTQ,
$ IPREPAD, IPOSTPAD, 4.3D0 )
*
*
CALL PZSEPQTQ( N, NZ, THRESH, Z( 1+IPREPAD ), IA, JA, DESCZ,
$ A( 1+IPREPAD ), IA, JA, DESCA,
$ IWORK( 1+IPREPAD+1 ), ICLUSTR( 1+IPREPAD ),
$ GAP( 1+IPREPAD ),RWORK( IPREPAD+1 ), SIZEQTQ,
$ QTQNRM, INFO, RES )
*
CALL PDCHEKPAD( DESCA( CTXT_ ), 'PDSEPQTQ-RWORK',SIZEQTQ, 1,
$ RWORK,SIZEQTQ, IPREPAD, IPOSTPAD, 4.3D0 )
*
IF( RES.NE.0 )
$ RESULT = 1
*
IF( INFO.NE.0 ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9998 )INFO
RESULT = 1
END IF
END IF
*
* Check to make sure that the right eigenvalues have been obtained
*
IF( WKNOWN ) THEN
* Set up MYIL if necessary
MYIL = IL
*
IF( LSAME( RANGE, 'V' ) ) THEN
MYIL = 1
MINIL = 1
MAXIL = N - M + 1
ELSE
IF( LSAME( RANGE, 'A' ) ) THEN
MYIL = 1
END IF
MINIL = MYIL
MAXIL = MYIL
END IF
*
* Find the largest difference between the computed
* and expected eigenvalues
*
MINERROR = NORMWIN
*
DO 140 MYIL = MINIL, MAXIL
MAXERROR = 0
*
* Make sure that we aren't skipping any important eigenvalues
*
MISSSMALLEST = .TRUE.
IF( .NOT.LSAME( RANGE, 'V' ) .OR. ( MYIL.EQ.1 ) )
$ MISSSMALLEST = .FALSE.
IF( MISSSMALLEST .AND. ( WIN( MYIL-1 ).LT.VL+NORMWIN*
$ FIVE*THRESH*EPS ) )MISSSMALLEST = .FALSE.
MISSLARGEST = .TRUE.
IF( .NOT.LSAME( RANGE, 'V' ) .OR. ( MYIL.EQ.MAXIL ) )
$ MISSLARGEST = .FALSE.
IF( MISSLARGEST .AND. ( WIN( MYIL+M ).GT.VU-NORMWIN*FIVE*
$ THRESH*EPS ) )MISSLARGEST = .FALSE.
IF( .NOT.MISSSMALLEST ) THEN
IF( .NOT.MISSLARGEST ) THEN
*
* Make sure that the eigenvalues that we report are OK
*
DO 130 I = 1, M
* WRITE(*,*) 'WIN WNEW = ', WIN( I+MYIL-1 ),
* $ WNEW( I+IPREPAD )
ERROR = ABS( WIN( I+MYIL-1 )-WNEW( I+IPREPAD ) )
MAXERROR = MAX( MAXERROR, ERROR )
130 CONTINUE
*
MINERROR = MIN( MAXERROR, MINERROR )
END IF
END IF
140 CONTINUE
*
* If JOBZ = 'V' and RANGE='A', we might be comparing
* against our estimate of what the eigenvalues ought to
* be, rather than comparing against what was computed
* last time around, so we have to be more generous.
*
IF( LSAME( JOBZ, 'V' ) .AND. LSAME( RANGE, 'A' ) ) THEN
IF( MINERROR.GT.NORMWIN*FIVE*FIVE*THRESH*EPS ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 )MINERROR, NORMWIN
RESULT = 1
END IF
ELSE
IF( MINERROR.GT.NORMWIN*FIVE*THRESH*EPS ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9997 )MINERROR, NORMWIN
RESULT = 1
END IF
END IF
END IF
*
* Make sure that the IL, IU, VL and VU were not altered
*
IF( IL.NE.OLDIL .OR. IU.NE.OLDIU .OR. VL.NE.OLDVL .OR. VU.NE.
$ OLDVU ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9982 )
RESULT = 1
END IF
*
IF( LSAME( JOBZ, 'N' ) .AND. ( NZ.NE.OLDNZ ) ) THEN
IF( IAM.EQ.0 )
$ WRITE( NOUT, FMT = 9981 )
RESULT = 1
END IF
*
END IF
*
* All processes should report the same result
*
CALL IGAMX2D( DESCA( CTXT_ ), 'a', ' ', 1, 1, RESULT, 1, 1, 1, -1,
$ -1, 0 )
*
150 CONTINUE
*
RETURN
*
9999 FORMAT( 'PZHEEVR returned INFO=', I7 )
9998 FORMAT( 'PZSEPQTQ returned INFO=', I7 )
9997 FORMAT( 'PZSEPRSUBTST minerror =', D11.2, ' normwin=', D11.2 )
9996 FORMAT( 'PZHEEVR returned INFO=', I7,
$ ' despite adequate workspace' )
9995 FORMAT( 'ICLUSTR(1).NE.0 but mod(INFO/2,2).NE.1' )
9994 FORMAT( 'M not in the range 0 to N' )
9993 FORMAT( 'M not equal to N' )
9992 FORMAT( 'M not equal to IU-IL+1' )
9991 FORMAT( 'M not equal to NZ' )
9990 FORMAT( 'NZ > M' )
9989 FORMAT( 'NZ < M' )
9988 FORMAT( 'NZ not equal to M' )
9987 FORMAT( 'Different processes return different values for M' )
9986 FORMAT( 'Different processes return different eigenvalues' )
9985 FORMAT( 'Different processes return ',
$ 'different numbers of clusters' )
9984 FORMAT( 'Different processes return different clusters' )
9983 FORMAT( 'ICLUSTR not zero terminated' )
9982 FORMAT( 'IL, IU, VL or VU altered by PZHEEVR' )
9981 FORMAT( 'NZ altered by PZHEEVR with JOBZ=N' )
*
* End of PZSEPRSUBTST
*
END
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