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|
SUBROUTINE DTIM21( LINE, NSIZES, NN, NTYPES, DOTYPE, NPARMS, NNB,
$ NSHFTS, MAXBS, LDAS, TIMMIN, NOUT, ISEED, A, H,
$ Z, W, WORK, LWORK, LLWORK, IWORK, TIMES, LDT1,
$ LDT2, LDT3, OPCNTS, LDO1, LDO2, LDO3, INFO )
*
* -- LAPACK timing routine (version 3.0) --
* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
* Courant Institute, Argonne National Lab, and Rice University
* September 30, 1994
*
* .. Scalar Arguments ..
CHARACTER*80 LINE
INTEGER INFO, LDO1, LDO2, LDO3, LDT1, LDT2, LDT3,
$ LWORK, NOUT, NPARMS, NSIZES, NTYPES
DOUBLE PRECISION TIMMIN
* ..
* .. Array Arguments ..
LOGICAL DOTYPE( * ), LLWORK( * )
INTEGER ISEED( * ), IWORK( * ), LDAS( * ), MAXBS( * ),
$ NN( * ), NNB( * ), NSHFTS( * )
DOUBLE PRECISION A( * ), H( * ), OPCNTS( LDO1, LDO2, LDO3, * ),
$ TIMES( LDT1, LDT2, LDT3, * ), W( * ),
$ WORK( * ), Z( * )
* ..
*
* Purpose
* =======
*
* DTIM21 times the LAPACK routines for the DOUBLE PRECISION
* non-symmetric eigenvalue problem.
*
* For each N value in NN(1:NSIZES) and .TRUE. value in
* DOTYPE(1:NTYPES), a matrix will be generated and used to test the
* selected routines. Thus, NSIZES*(number of .TRUE. values in
* DOTYPE) matrices will be generated.
*
* Arguments
* =========
*
* LINE (input) CHARACTER*80
* On entry, LINE contains the input line which requested
* this routine. This line may contain a subroutine name,
* such as DGEHRD, indicating that only routine SGEHRD will
* be timed, or it may contain a generic name, such as DHS.
* In this case, the rest of the line is scanned for the
* first 12 non-blank characters, corresponding to the twelve
* combinations of subroutine and options:
* LAPACK:
* 1: DGEHRD
* 2: DHSEQR(JOB='E')
* 3: DHSEQR(JOB='S')
* 4: DHSEQR(JOB='I')
* 5: DTREVC(JOB='L')
* 6: DTREVC(JOB='R')
* 7: DHSEIN(JOB='L')
* 8: DHSEIN(JOB='R')
* EISPACK:
* 9: ORTHES (compare with DGEHRD)
* 10: HQR (compare w/ DHSEQR -- JOB='E')
* 11: HQR2 (compare w/ DHSEQR(JOB='I') plus DTREVC(JOB='R'))
* 12: INVIT (compare with DHSEIN)
* If a character is 'T' or 't', the corresponding routine in
* this path is timed. If the entire line is blank, all the
* routines in the path are timed.
*
* NSIZES (input) INTEGER
* The number of values of N contained in the vector NN.
*
* NN (input) INTEGER array, dimension( NSIZES )
* The values of the matrix size N to be tested. For each
* N value in the array NN, and each .TRUE. value in DOTYPE,
* a matrix A will be generated and used to test the routines.
*
* NTYPES (input) INTEGER
* The number of types in DOTYPE. Only the first MAXTYP
* elements will be examined. Exception: if NSIZES=1 and
* NTYPES=MAXTYP+1, and DOTYPE=MAXTYP*f,t, then the input
* value of A will be used.
*
* DOTYPE (input) LOGICAL
* If DOTYPE(j) is .TRUE., then a matrix of type j will be
* generated. The matrix A has the form X**(-1) T X, where
* X is orthogonal (for j=1--4) or has condition sqrt(ULP)
* (for j=5--8), and T has random O(1) entries in the upper
* triangle and:
* (j=1,5) evenly spaced entries 1, ..., ULP with random signs
* (j=2,6) geometrically spaced entries 1, ..., ULP with random
* signs
* (j=3,7) "clustered" entries 1, ULP,..., ULP with random
* signs
* (j=4,8) real or complex conjugate paired eigenvalues
* randomly chosen from ( ULP, 1 )
* on the diagonal.
*
* NPARMS (input) INTEGER
* The number of values in each of the arrays NNB, NSHFTS,
* MAXBS, and LDAS. For each matrix A generated according to
* NN and DOTYPE, tests will be run with (NB,NSHIFT,MAXB,LDA)=
* (NNB(1), NSHFTS(1), MAXBS(1), LDAS(1)),...,
* (NNB(NPARMS), NSHFTS(NPARMS), MAXBS(NPARMS), LDAS(NPARMS))
*
* NNB (input) INTEGER array, dimension( NPARMS )
* The values of the blocksize ("NB") to be tested.
*
* NSHFTS (input) INTEGER array, dimension( NPARMS )
* The values of the number of shifts ("NSHIFT") to be tested.
*
* MAXBS (input) INTEGER array, dimension( NPARMS )
* The values of "MAXB", the size of largest submatrix to be
* processed by DLAHQR (EISPACK method), to be tested.
*
* LDAS (input) INTEGER array, dimension( NPARMS )
* The values of LDA, the leading dimension of all matrices,
* to be tested.
*
* TIMMIN (input) DOUBLE PRECISION
* The minimum time a subroutine will be timed.
*
* NOUT (input) INTEGER
* If NOUT > 0 then NOUT specifies the unit number
* on which the output will be printed. If NOUT <= 0, no
* output is printed.
*
* ISEED (input/output) INTEGER array, dimension( 4 )
* The random seed used by the random number generator, used
* by the test matrix generator. It is used and updated on
* each call to DTIM21
*
* A (workspace) DOUBLE PRECISION array,
* dimension( max(NN)*max(LDAS) )
* (a) During the testing of DGEHRD, the original matrix to
* be tested.
* (b) Later, the Schur form of the original matrix.
*
* H (workspace) DOUBLE PRECISION array,
* dimension( max(NN)*max(LDAS) )
* The Hessenberg form of the original matrix.
*
* Z (workspace) DOUBLE PRECISION array,
* dimension( max(NN)*max(LDAS) )
* Various output arrays: from DGEHRD and DHSEQR, the
* orthogonal reduction matrices; from DTREVC and DHSEIN,
* the eigenvector matrices.
*
* W (workspace) DOUBLE PRECISION array,
* dimension( 2*max(LDAS) )
* Treated as an LDA x 2 matrix whose 1st column holds WR, the
* real parts of the eigenvalues, and whose 2nd column holds
* WI, the imaginary parts of the eigenvalues of A.
*
* WORK (workspace) DOUBLE PRECISION array, dimension( LWORK )
*
* LWORK (input) INTEGER
* Number of elements in WORK. It must be at least
* (a) max(NN)*( 3*max(NNB) + 2 )
* (b) max(NN)*( max(NNB+NSHFTS) + 1 )
* (c) max(NSHFTS)*( max(NSHFTS) + max(NN) )
* (d) max(MAXBS)*( max(MAXBS) + max(NN) )
* (e) ( max(NN) + 2 )**2 + max(NN)
* (f) NSIZES*NTYPES*NPARMS
*
* LLWORK (workspace) LOGICAL array, dimension( max( max(NN), NPARMS ))
*
* IWORK (workspace) INTEGER array, dimension( 2*max(NN) )
* Workspace needed for parameters IFAILL and IFAILR in call
* to DHSEIN.
*
* TIMES (output) DOUBLE PRECISION array,
* dimension (LDT1,LDT2,LDT3,NSUBS)
* TIMES(i,j,k,l) will be set to the run time (in seconds) for
* subroutine l, with N=NN(k), matrix type j, and LDA=LDAS(i),
* MAXB=MAXBS(i), NBLOCK=NNB(i), and NSHIFT=NSHFTS(i).
*
* LDT1 (input) INTEGER
* The first dimension of TIMES. LDT1 >= min( 1, NPARMS ).
*
* LDT2 (input) INTEGER
* The second dimension of TIMES. LDT2 >= min( 1, NTYPES ).
*
* LDT3 (input) INTEGER
* The third dimension of TIMES. LDT3 >= min( 1, NSIZES ).
*
* OPCNTS (output) DOUBLE PRECISION array,
* dimension (LDO1,LDO2,LDO3,NSUBS)
* OPCNTS(i,j,k,l) will be set to the number of floating-point
* operations executed by subroutine l, with N=NN(k), matrix
* type j, and LDA=LDAS(i), MAXB=MAXBS(i), NBLOCK=NNB(i), and
* NSHIFT=NSHFTS(i).
*
* LDO1 (input) INTEGER
* The first dimension of OPCNTS. LDO1 >= min( 1, NPARMS ).
*
* LDO2 (input) INTEGER
* The second dimension of OPCNTS. LDO2 >= min( 1, NTYPES ).
*
* LDO3 (input) INTEGER
* The third dimension of OPCNTS. LDO3 >= min( 1, NSIZES ).
*
* INFO (output) INTEGER
* Error flag. It will be set to zero if no error occurred.
*
* =====================================================================
*
* .. Parameters ..
INTEGER MAXTYP, NSUBS
PARAMETER ( MAXTYP = 8, NSUBS = 12 )
DOUBLE PRECISION ZERO, ONE
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
* ..
* .. Local Scalars ..
LOGICAL RUNHQR, RUNHRD, RUNORT, RUNQRE, RUNQRS
INTEGER IC, ICONDS, IINFO, IMODE, IN, IPAR, ISUB,
$ ITEMP, ITYPE, J, J1, J2, J3, J4, JC, JR, LASTL,
$ LASTNL, LDA, LDAMIN, LDH, LDT, LDW, MAXB,
$ MBMAX, MTYPES, N, NB, NBMAX, NMAX, NSBMAX,
$ NSHIFT, NSMAX
DOUBLE PRECISION CONDS, RTULP, RTULPI, S1, S2, TIME, ULP,
$ ULPINV, UNTIME
* ..
* .. Local Arrays ..
LOGICAL TIMSUB( NSUBS )
CHARACTER ADUMMA( 1 )
CHARACTER*4 PNAMES( 4 )
CHARACTER*9 SUBNAM( NSUBS )
INTEGER INPARM( NSUBS ), IOLDSD( 4 ), KCONDS( MAXTYP ),
$ KMODE( MAXTYP )
* ..
* .. External Functions ..
DOUBLE PRECISION DLAMCH, DOPLA, DSECND
EXTERNAL DLAMCH, DOPLA, DSECND
* ..
* .. External Subroutines ..
EXTERNAL ATIMIN, DGEHRD, DHSEIN, DHSEQR, DLACPY, DLASET,
$ DLATME, DPRTBE, DTREVC, HQR, HQR2, INVIT,
$ ORTHES, XLAENV
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, DBLE, MAX, MIN, SQRT
* ..
* .. Scalars in Common ..
DOUBLE PRECISION ITCNT, OPS
* ..
* .. Common blocks ..
COMMON / LATIME / OPS, ITCNT
* ..
* .. Data statements ..
DATA SUBNAM / 'DGEHRD', 'DHSEQR(E)', 'DHSEQR(S)',
$ 'DHSEQR(V)', 'DTREVC(L)', 'DTREVC(R)',
$ 'DHSEIN(L)', 'DHSEIN(R)', 'ORTHES', 'HQR',
$ 'HQR2', 'INVIT' /
DATA INPARM / 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1 /
DATA PNAMES / 'LDA', 'NB', 'NS', 'MAXB' /
DATA KMODE / 4, 3, 1, 5, 4, 3, 1, 5 /
DATA KCONDS / 4*1, 4*2 /
* ..
* .. Executable Statements ..
*
* Quick Return
*
INFO = 0
IF( NSIZES.LE.0 .OR. NTYPES.LE.0 .OR. NPARMS.LE.0 )
$ RETURN
*
* Extract the timing request from the input line.
*
CALL ATIMIN( 'DHS', LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO )
IF( INFO.NE.0 )
$ RETURN
*
* Compute Maximum Values
*
NMAX = 0
DO 10 J1 = 1, NSIZES
NMAX = MAX( NMAX, NN( J1 ) )
10 CONTINUE
*
LDAMIN = 2*MAX( 1, NMAX )
NBMAX = 0
NSMAX = 0
MBMAX = 0
NSBMAX = 0
DO 20 J1 = 1, NPARMS
LDAMIN = MIN( LDAMIN, LDAS( J1 ) )
NBMAX = MAX( NBMAX, NNB( J1 ) )
NSMAX = MAX( NSMAX, NSHFTS( J1 ) )
MBMAX = MAX( MBMAX, MAXBS( J1 ) )
NSBMAX = MAX( NSBMAX, NNB( J1 )+NSHFTS( J1 ) )
20 CONTINUE
*
* Check that N <= LDA for the input values.
*
IF( NMAX.GT.LDAMIN ) THEN
INFO = -10
WRITE( NOUT, FMT = 9999 )LINE( 1: 6 )
9999 FORMAT( 1X, A, ' timing run not attempted -- N > LDA', / )
RETURN
END IF
*
* Check LWORK
*
IF( LWORK.LT.MAX( NMAX*MAX( 3*NBMAX+2, NSBMAX+1 ),
$ NSMAX*( NSMAX+NMAX ), MBMAX*( MBMAX+NMAX ),
$ ( NMAX+1 )*( NMAX+4 ), NSIZES*NTYPES*NPARMS ) ) THEN
INFO = -19
WRITE( NOUT, FMT = 9998 )LINE( 1: 6 )
9998 FORMAT( 1X, A, ' timing run not attempted -- LWORK too small.',
$ / )
RETURN
END IF
*
* Check to see whether DGEHRD or DHSEQR must be run.
*
* RUNQRE -- if DHSEQR must be run to get eigenvalues.
* RUNQRS -- if DHSEQR must be run to get Schur form.
* RUNHRD -- if DGEHRD must be run.
*
RUNQRS = .FALSE.
RUNQRE = .FALSE.
RUNHRD = .FALSE.
IF( TIMSUB( 5 ) .OR. TIMSUB( 6 ) )
$ RUNQRS = .TRUE.
IF( ( TIMSUB( 7 ) .OR. TIMSUB( 8 ) ) )
$ RUNQRE = .TRUE.
IF( TIMSUB( 2 ) .OR. TIMSUB( 3 ) .OR. TIMSUB( 4 ) .OR. RUNQRS .OR.
$ RUNQRE )RUNHRD = .TRUE.
IF( TIMSUB( 3 ) .OR. TIMSUB( 4 ) .OR. RUNQRS )
$ RUNQRE = .FALSE.
IF( TIMSUB( 4 ) )
$ RUNQRS = .FALSE.
*
* Check to see whether ORTHES or HQR must be run.
*
* RUNHQR -- if HQR must be run to get eigenvalues.
* RUNORT -- if ORTHES must be run.
*
RUNHQR = .FALSE.
RUNORT = .FALSE.
IF( TIMSUB( 12 ) )
$ RUNHQR = .TRUE.
IF( TIMSUB( 10 ) .OR. TIMSUB( 11 ) .OR. RUNHQR )
$ RUNORT = .TRUE.
IF( TIMSUB( 10 ) .OR. TIMSUB( 11 ) )
$ RUNHQR = .FALSE.
IF( TIMSUB( 9 ) )
$ RUNORT = .FALSE.
*
* Various Constants
*
ULP = DLAMCH( 'Epsilon' )*DLAMCH( 'Base' )
ULPINV = ONE / ULP
RTULP = SQRT( ULP )
RTULPI = ONE / RTULP
*
* Zero out OPCNTS, TIMES
*
DO 60 J4 = 1, NSUBS
DO 50 J3 = 1, NSIZES
DO 40 J2 = 1, NTYPES
DO 30 J1 = 1, NPARMS
OPCNTS( J1, J2, J3, J4 ) = ZERO
TIMES( J1, J2, J3, J4 ) = ZERO
30 CONTINUE
40 CONTINUE
50 CONTINUE
60 CONTINUE
*
* Do for each value of N:
*
DO 620 IN = 1, NSIZES
*
N = NN( IN )
*
* Do for each .TRUE. value in DOTYPE:
*
MTYPES = MIN( MAXTYP, NTYPES )
IF( NTYPES.EQ.MAXTYP+1 .AND. NSIZES.EQ.1 )
$ MTYPES = NTYPES
DO 610 ITYPE = 1, MTYPES
IF( .NOT.DOTYPE( ITYPE ) )
$ GO TO 610
*
* Save random number seed for error messages
*
DO 70 J = 1, 4
IOLDSD( J ) = ISEED( J )
70 CONTINUE
*
*-----------------------------------------------------------------------
*
* Time the LAPACK Routines
*
* Generate A
*
IF( ITYPE.LE.MAXTYP ) THEN
IMODE = KMODE( ITYPE )
ICONDS = KCONDS( ITYPE )
IF( ICONDS.EQ.1 ) THEN
CONDS = ONE
ELSE
CONDS = RTULPI
END IF
ADUMMA( 1 ) = ' '
CALL DLATME( N, 'S', ISEED, WORK, IMODE, ULPINV, ONE,
$ ADUMMA, 'T', 'T', 'T', WORK( N+1 ), 4,
$ CONDS, N, N, ONE, A, N, WORK( 2*N+1 ),
$ IINFO )
END IF
*
* Time DGEHRD for each pair NNB(j), LDAS(j)
*
IF( TIMSUB( 1 ) ) THEN
DO 110 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
NB = MIN( N, NNB( IPAR ) )
*
* If this combination of (NB,LDA) has occurred before,
* just use that value.
*
LASTNL = 0
DO 80 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) .AND. NB.EQ.
$ MIN( N, NNB( J ) ) )LASTNL = J
80 CONTINUE
*
IF( LASTNL.EQ.0 ) THEN
CALL XLAENV( 1, NB )
CALL XLAENV( 2, 2 )
CALL XLAENV( 3, NB )
*
* Time DGEHRD
*
IC = 0
OPS = ZERO
S1 = DSECND( )
90 CONTINUE
CALL DLACPY( 'Full', N, N, A, N, H, LDA )
*
CALL DGEHRD( N, 1, N, H, LDA, WORK, WORK( N+1 ),
$ LWORK-N, IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 1 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
*
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 90
*
* Subtract the time used in DLACPY.
*
S1 = DSECND( )
DO 100 J = 1, IC
CALL DLACPY( 'Full', N, N, A, N, Z, LDA )
100 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 1 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 1 ) = DOPLA( 'DGEHRD', N,
$ 1, N, 0, NB )
ELSE
OPCNTS( IPAR, ITYPE, IN, 1 ) = OPCNTS( LASTNL,
$ ITYPE, IN, 1 )
TIMES( IPAR, ITYPE, IN, 1 ) = TIMES( LASTNL, ITYPE,
$ IN, 1 )
END IF
110 CONTINUE
LDH = LDA
ELSE
IF( RUNHRD ) THEN
CALL DLACPY( 'Full', N, N, A, N, H, N )
*
CALL DGEHRD( N, 1, N, H, N, WORK, WORK( N+1 ),
$ LWORK-N, IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 1 ), IINFO, N,
$ ITYPE, 0, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
LDH = N
END IF
END IF
*
* Time DHSEQR with JOB='E' for each 4-tuple
* NNB(j), NSHFTS(j), MAXBS(j), LDAS(j)
*
IF( TIMSUB( 2 ) ) THEN
DO 140 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
NB = 1
NSHIFT = NSHFTS( IPAR )
MAXB = MAXBS( IPAR )
CALL XLAENV( 4, NSHIFT )
CALL XLAENV( 8, MAXB )
*
* Time DHSEQR with JOB='E'
*
IC = 0
OPS = ZERO
S1 = DSECND( )
120 CONTINUE
CALL DLACPY( 'Full', N, N, H, LDH, A, LDA )
*
CALL DHSEQR( 'E', 'N', N, 1, N, A, LDA, W, W( LDA+1 ),
$ Z, LDA, WORK, LWORK, IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 2 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
*
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 120
*
* Subtract the time used in DLACPY.
*
S1 = DSECND( )
DO 130 J = 1, IC
CALL DLACPY( 'Full', N, N, H, LDH, Z, LDA )
130 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 2 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 2 ) = OPS / DBLE( IC )
140 CONTINUE
LDT = 0
LDW = LDA
ELSE
IF( RUNQRE ) THEN
CALL DLACPY( 'Full', N, N, H, LDH, A, N )
*
CALL DHSEQR( 'E', 'N', N, 1, N, A, N, W, W( N+1 ), Z,
$ N, WORK, LWORK, IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 2 ), IINFO, N,
$ ITYPE, 0, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
LDT = 0
LDW = N
END IF
END IF
*
* Time DHSEQR with JOB='S' for each 4-tuple
* NNB(j), NSHFTS(j), MAXBS(j), LDAS(j)
*
IF( TIMSUB( 3 ) ) THEN
DO 170 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
NSHIFT = NSHFTS( IPAR )
MAXB = MAXBS( IPAR )
NB = 1
CALL XLAENV( 4, NSHIFT )
CALL XLAENV( 8, MAXB )
*
* Time DHSEQR with JOB='S'
*
IC = 0
OPS = ZERO
S1 = DSECND( )
150 CONTINUE
CALL DLACPY( 'Full', N, N, H, LDH, A, LDA )
*
CALL DHSEQR( 'S', 'N', N, 1, N, A, LDA, W, W( LDA+1 ),
$ Z, LDA, WORK, LWORK, IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 3 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
*
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 150
*
* Subtract the time used in DLACPY.
*
S1 = DSECND( )
DO 160 J = 1, IC
CALL DLACPY( 'Full', N, N, H, LDH, Z, LDA )
160 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 3 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 3 ) = OPS / DBLE( IC )
170 CONTINUE
LDT = LDA
LDW = LDA
ELSE
IF( RUNQRS ) THEN
CALL DLACPY( 'Full', N, N, H, LDH, A, N )
*
CALL DHSEQR( 'S', 'N', N, 1, N, A, N, W, W( N+1 ), Z,
$ N, WORK, LWORK, IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 3 ), IINFO, N,
$ ITYPE, 0, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
LDT = N
LDW = N
END IF
END IF
*
* Time DHSEQR with JOB='I' for each 4-tuple
* NNB(j), NSHFTS(j), MAXBS(j), LDAS(j)
*
IF( TIMSUB( 4 ) ) THEN
DO 200 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
NSHIFT = NSHFTS( IPAR )
MAXB = MAXBS( IPAR )
NB = 1
CALL XLAENV( 4, NSHIFT )
CALL XLAENV( 8, MAXB )
*
* Time DHSEQR with JOB='I'
*
IC = 0
OPS = ZERO
S1 = DSECND( )
180 CONTINUE
CALL DLACPY( 'Full', N, N, H, LDH, A, LDA )
*
CALL DHSEQR( 'S', 'I', N, 1, N, A, LDA, W, W( LDA+1 ),
$ Z, LDA, WORK, LWORK, IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 4 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
*
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 180
*
* Subtract the time used in DLACPY.
*
S1 = DSECND( )
DO 190 J = 1, IC
CALL DLACPY( 'Full', N, N, H, LDH, Z, LDA )
190 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 4 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 4 ) = OPS / DBLE( IC )
200 CONTINUE
LDT = LDA
LDW = LDA
END IF
*
* Time DTREVC and DHSEIN with various values of LDA
*
* Select All Eigenvectors
*
DO 210 J = 1, N
LLWORK( J ) = .TRUE.
210 CONTINUE
*
DO 370 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 220 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
220 CONTINUE
*
* Time DTREVC
*
IF( ( TIMSUB( 5 ) .OR. TIMSUB( 6 ) ) .AND. LASTL.EQ.0 )
$ THEN
*
* Copy T (which is in A) if necessary to get right LDA.
*
IF( LDA.GT.LDT ) THEN
DO 240 JC = N, 1, -1
DO 230 JR = N, 1, -1
A( JR+( JC-1 )*LDA ) = A( JR+( JC-1 )*LDT )
230 CONTINUE
240 CONTINUE
ELSE IF( LDA.LT.LDT ) THEN
DO 260 JC = 1, N
DO 250 JR = 1, N
A( JR+( JC-1 )*LDA ) = A( JR+( JC-1 )*LDT )
250 CONTINUE
260 CONTINUE
END IF
LDT = LDA
*
* Time DTREVC for Left Eigenvectors
*
IF( TIMSUB( 5 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
270 CONTINUE
*
CALL DTREVC( 'L', 'A', LLWORK, N, A, LDA, Z, LDA,
$ Z, LDA, N, ITEMP, WORK, IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 5 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 270
*
TIMES( IPAR, ITYPE, IN, 5 ) = TIME / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 5 ) = OPS / DBLE( IC )
END IF
*
* Time DTREVC for Right Eigenvectors
*
IF( TIMSUB( 6 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
280 CONTINUE
CALL DTREVC( 'R', 'A', LLWORK, N, A, LDA, Z, LDA,
$ Z, LDA, N, ITEMP, WORK, IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 6 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 280
*
TIMES( IPAR, ITYPE, IN, 6 ) = TIME / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 6 ) = OPS / DBLE( IC )
END IF
ELSE
IF( TIMSUB( 5 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 5 ) = OPCNTS( LASTL,
$ ITYPE, IN, 5 )
TIMES( IPAR, ITYPE, IN, 5 ) = TIMES( LASTL, ITYPE,
$ IN, 5 )
END IF
IF( TIMSUB( 6 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 6 ) = OPCNTS( LASTL,
$ ITYPE, IN, 6 )
TIMES( IPAR, ITYPE, IN, 6 ) = TIMES( LASTL, ITYPE,
$ IN, 6 )
END IF
END IF
*
* Time DHSEIN
*
IF( ( TIMSUB( 7 ) .OR. TIMSUB( 8 ) ) .AND. LASTL.EQ.0 )
$ THEN
*
* Copy H if necessary to get right LDA.
*
IF( LDA.GT.LDH ) THEN
DO 300 JC = N, 1, -1
DO 290 JR = N, 1, -1
H( JR+( JC-1 )*LDA ) = H( JR+( JC-1 )*LDH )
290 CONTINUE
W( JC+LDA ) = W( JC+LDH )
300 CONTINUE
ELSE IF( LDA.LT.LDH ) THEN
DO 320 JC = 1, N
DO 310 JR = 1, N
H( JR+( JC-1 )*LDA ) = H( JR+( JC-1 )*LDH )
310 CONTINUE
W( JC+LDA ) = W( JC+LDH )
320 CONTINUE
END IF
LDH = LDA
*
* Copy W if necessary to get right LDA.
*
IF( LDA.GT.LDW ) THEN
DO 330 J = N, 1, -1
W( J+LDA ) = W( J+LDW )
330 CONTINUE
ELSE IF( LDA.LT.LDW ) THEN
DO 340 J = 1, N
W( J+LDA ) = W( J+LDW )
340 CONTINUE
END IF
LDW = LDA
*
* Time DHSEIN for Left Eigenvectors
*
IF( TIMSUB( 7 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
350 CONTINUE
*
CALL DHSEIN( 'L', 'Q', 'N', LLWORK, N, H, LDA, W,
$ W( LDA+1 ), Z, LDA, Z, LDA, N, ITEMP,
$ WORK, IWORK, IWORK( N+1 ), IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 7 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 350
*
TIMES( IPAR, ITYPE, IN, 7 ) = TIME / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 7 ) = OPS / DBLE( IC )
END IF
*
* Time DHSEIN for Right Eigenvectors
*
IF( TIMSUB( 8 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
360 CONTINUE
*
CALL DHSEIN( 'R', 'Q', 'N', LLWORK, N, H, LDA, W,
$ W( LDA+1 ), Z, LDA, Z, LDA, N, ITEMP,
$ WORK, IWORK, IWORK( N+1 ), IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 8 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 360
*
TIMES( IPAR, ITYPE, IN, 8 ) = TIME / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 8 ) = OPS / DBLE( IC )
END IF
ELSE
IF( TIMSUB( 7 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 7 ) = OPCNTS( LASTL,
$ ITYPE, IN, 7 )
TIMES( IPAR, ITYPE, IN, 7 ) = TIMES( LASTL, ITYPE,
$ IN, 7 )
END IF
IF( TIMSUB( 8 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 8 ) = OPCNTS( LASTL,
$ ITYPE, IN, 8 )
TIMES( IPAR, ITYPE, IN, 8 ) = TIMES( LASTL, ITYPE,
$ IN, 8 )
END IF
END IF
370 CONTINUE
*
*-----------------------------------------------------------------------
*
* Time the EISPACK Routines
*
* Restore random number seed
*
DO 380 J = 1, 4
ISEED( J ) = IOLDSD( J )
380 CONTINUE
*
* Re-generate A
*
IF( ITYPE.LE.MAXTYP ) THEN
IMODE = KMODE( ITYPE )
IF( ICONDS.EQ.1 ) THEN
CONDS = ONE
ELSE
CONDS = RTULPI
END IF
CALL DLATME( N, 'S', ISEED, WORK, IMODE, ULPINV, ONE,
$ ADUMMA, 'T', 'T', 'T', WORK( N+1 ), 4,
$ CONDS, N, N, ONE, A, N, WORK( 2*N+1 ),
$ IINFO )
END IF
*
* Time ORTHES for each LDAS(j)
*
IF( TIMSUB( 9 ) ) THEN
DO 420 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 390 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
390 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time ORTHES
*
IC = 0
OPS = ZERO
S1 = DSECND( )
*
400 CONTINUE
CALL DLACPY( 'Full', N, N, A, N, H, LDA )
*
CALL ORTHES( LDA, N, 1, N, H, WORK )
*
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 400
*
* Subtract the time used in DLACPY.
*
S1 = DSECND( )
DO 410 J = 1, IC
CALL DLACPY( 'Full', N, N, A, N, Z, LDA )
410 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
* OPS1 = ( 20*N**3 - 3*N**2 - 23*N ) / 6 - 17
*
TIMES( IPAR, ITYPE, IN, 9 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 9 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 9 ) = OPCNTS( LASTL,
$ ITYPE, IN, 9 )
TIMES( IPAR, ITYPE, IN, 9 ) = TIMES( LASTL, ITYPE,
$ IN, 9 )
END IF
LDH = LDA
420 CONTINUE
ELSE
IF( RUNORT ) THEN
CALL DLACPY( 'Full', N, N, A, N, H, N )
*
CALL ORTHES( N, N, 1, N, H, WORK )
*
LDH = N
END IF
END IF
*
* Time HQR for each LDAS(j)
*
IF( TIMSUB( 10 ) ) THEN
DO 460 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 430 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
430 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time HQR
*
IC = 0
OPS = ZERO
S1 = DSECND( )
440 CONTINUE
CALL DLACPY( 'Full', N, N, H, LDH, A, LDA )
*
CALL HQR( LDA, N, 1, N, A, W, W( LDA+1 ), IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 10 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 440
*
* Subtract the time used in DLACPY.
*
S1 = DSECND( )
DO 450 J = 1, IC
CALL DLACPY( 'Full', N, N, H, LDH, Z, LDA )
450 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 10 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 10 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 10 ) = OPCNTS( LASTL,
$ ITYPE, IN, 10 )
TIMES( IPAR, ITYPE, IN, 10 ) = TIMES( LASTL, ITYPE,
$ IN, 10 )
END IF
LDW = LDA
460 CONTINUE
ELSE
IF( RUNHQR ) THEN
CALL DLACPY( 'Full', N, N, A, N, H, N )
*
CALL HQR( N, N, 1, N, A, W, W( N+1 ), IINFO )
*
LDW = N
END IF
END IF
*
* Time HQR2 for each LDAS(j)
*
IF( TIMSUB( 11 ) ) THEN
DO 500 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 470 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
470 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time HQR2
*
IC = 0
OPS = ZERO
S1 = DSECND( )
480 CONTINUE
CALL DLACPY( 'Full', N, N, H, LDH, A, LDA )
CALL DLASET( 'Full', N, N, ZERO, ONE, Z, LDA )
*
CALL HQR2( LDA, N, 1, N, A, W, W( LDA+1 ), Z,
$ IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 11 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 480
*
* Subtract the time used in DLACPY.
*
S1 = DSECND( )
DO 490 J = 1, IC
CALL DLACPY( 'Full', N, N, H, LDH, Z, LDA )
490 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 11 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 11 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 11 ) = OPCNTS( LASTL,
$ ITYPE, IN, 11 )
TIMES( IPAR, ITYPE, IN, 11 ) = TIMES( LASTL, ITYPE,
$ IN, 11 )
END IF
LDW = LDA
500 CONTINUE
END IF
*
* Time INVIT for each LDAS(j)
*
* Select All Eigenvectors
*
DO 510 J = 1, N
LLWORK( J ) = .TRUE.
510 CONTINUE
*
IF( TIMSUB( 12 ) ) THEN
DO 600 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 520 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
520 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Copy H if necessary to get right LDA.
*
IF( LDA.GT.LDH ) THEN
DO 540 JC = N, 1, -1
DO 530 JR = N, 1, -1
H( JR+( JC-1 )*LDA ) = H( JR+( JC-1 )*
$ LDH )
530 CONTINUE
540 CONTINUE
ELSE IF( LDA.LT.LDH ) THEN
DO 560 JC = 1, N
DO 550 JR = 1, N
H( JR+( JC-1 )*LDA ) = H( JR+( JC-1 )*
$ LDH )
550 CONTINUE
560 CONTINUE
END IF
LDH = LDA
*
* Copy W if necessary to get right LDA.
*
IF( LDA.GT.LDW ) THEN
DO 570 J = N, 1, -1
W( J+LDA ) = W( J+LDW )
570 CONTINUE
ELSE IF( LDA.LT.LDW ) THEN
DO 580 J = 1, N
W( J+LDA ) = W( J+LDW )
580 CONTINUE
END IF
LDW = LDA
*
* Time INVIT for right eigenvectors.
*
IC = 0
OPS = ZERO
S1 = DSECND( )
590 CONTINUE
*
CALL INVIT( LDA, N, H, W, W( LDA+1 ), LLWORK, N,
$ ITEMP, Z, IINFO, WORK( 2*N+1 ), WORK,
$ WORK( N+1 ) )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 12 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 610
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 590
*
* TIME = TIME / DOUBLE PRECISION( IC )
* OPS1 = OPS / DOUBLE PRECISION( IC )
* OPCNTS( IPAR, ITYPE, IN, 12 ) = OPS1
* TIMES( IPAR, ITYPE, IN, 12 ) = DMFLOP( OPS1, TIME,
* $ IINFO )
*
TIMES( IPAR, ITYPE, IN, 12 ) = TIME / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 12 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 12 ) = OPCNTS( LASTL,
$ ITYPE, IN, 12 )
TIMES( IPAR, ITYPE, IN, 12 ) = TIMES( LASTL, ITYPE,
$ IN, 12 )
END IF
600 CONTINUE
END IF
*
610 CONTINUE
620 CONTINUE
*
*-----------------------------------------------------------------------
*
* Print a table of results for each timed routine.
*
ISUB = 1
IF( TIMSUB( ISUB ) ) THEN
CALL DPRTBE( SUBNAM( ISUB ), MTYPES, DOTYPE, NSIZES, NN,
$ INPARM( ISUB ), PNAMES, NPARMS, LDAS, NNB, NSHFTS,
$ MAXBS, OPCNTS( 1, 1, 1, ISUB ), LDO1, LDO2,
$ TIMES( 1, 1, 1, ISUB ), LDT1, LDT2, WORK, LLWORK,
$ NOUT )
END IF
*
DO 630 IN = 1, NPARMS
NNB( IN ) = 1
630 CONTINUE
*
DO 640 ISUB = 2, NSUBS
IF( TIMSUB( ISUB ) ) THEN
CALL DPRTBE( SUBNAM( ISUB ), MTYPES, DOTYPE, NSIZES, NN,
$ INPARM( ISUB ), PNAMES, NPARMS, LDAS, NNB,
$ NSHFTS, MAXBS, OPCNTS( 1, 1, 1, ISUB ), LDO1,
$ LDO2, TIMES( 1, 1, 1, ISUB ), LDT1, LDT2, WORK,
$ LLWORK, NOUT )
END IF
640 CONTINUE
*
RETURN
*
* End of DTIM21
*
9997 FORMAT( ' DTIM21: ', A, ' returned INFO=', I6, '.', / 9X, 'N=',
$ I6, ', ITYPE=', I6, ', IPAR=', I6, ', ISEED=(',
$ 3( I5, ',' ), I5, ')' )
*
END
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