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SUBROUTINE DTIM22( LINE, NSIZES, NN, NTYPES, DOTYPE, NPARMS, NNB,
$ LDAS, TIMMIN, NOUT, ISEED, A, D, E, E2, Z, Z1,
$ 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
* February 20, 2000
*
* .. 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( * ), NN( * ),
$ NNB( * )
DOUBLE PRECISION A( * ), D( * ), E( * ), E2( * ),
$ OPCNTS( LDO1, LDO2, LDO3, * ),
$ TIMES( LDT1, LDT2, LDT3, * ), WORK( * ),
$ Z( * ), Z1( * )
* ..
*
* Purpose
* =======
*
* DTIM22 times the LAPACK routines for the real 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 DSYTRD, indicating that only routine SSYTRD will
* be timed, or it may contain a generic name, such as DST.
* In this case, the rest of the line is scanned for the
* first 23 non-blank characters, corresponding to the eight
* combinations of subroutine and options:
* LAPACK:
* 1: DSYTRD
* 2: DORGTR
* 3: DORMTR
* 4: DSTEQR(VECT='N')
* 5: DSTEQR(VECT='V')
* 6: DSTERF
* 7: DPTEQR(VECT='N')
* 8: DPTEQR(VECT='V')
* 9: DSTEBZ(RANGE='I')
* 10: DSTEBZ(RANGE='V')
* 11: DSTEIN
* 12: DSTEDC(COMPQ='N')
* 13: DSTEDC(COMPQ='I')
* 14: DSTEDC(COMPQ='V')
* 15: DSTEGR(COMPQ='N')
* 16: DSTEGR(COMPQ='V')
* EISPACK:
* 17: TRED1 (compare with DSYTRD)
* 18: IMTQL1 (compare w/ DSTEQR -- VECT='N')
* 19: IMTQL2 (compare w/ DSTEQR -- VECT='V')
* 20: TQLRAT (compare with DSTERF)
* 21: TRIDIB (compare with DSTEBZ -- RANGE='I')
* 22: BISECT (compare with DSTEBZ -- RANGE='V')
* 23: TINVIT (compare with DSTEIN)
* 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) D X, where
* X is orthogonal and D is diagonal with:
* (j=1) evenly spaced entries 1, ..., ULP with random signs.
* (j=2) geometrically spaced entries 1, ..., ULP with random
* signs.
* (j=3) "clustered" entries 1, ULP,..., ULP with random
* signs.
* (j=4) entries randomly chosen from ( ULP, 1 ).
*
* NPARMS (input) INTEGER
* The number of values in each of the arrays NNB and LDAS.
* For each matrix A generated according to NN and DOTYPE,
* tests will be run with (NB,LDA)=
* (NNB(1),LDAS(1)),...,(NNB(NPARMS), LDAS(NPARMS))
*
* NNB (input) INTEGER array, dimension( NPARMS )
* The values of the blocksize ("NB") 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 DTIM22
*
* A (workspace) DOUBLE PRECISION array,
* dimension( max(NN)*max(LDAS) )
* The original matrix to be tested.
*
* D (workspace) DOUBLE PRECISION array,
* dimension( max(NN) )
* The diagonal of the tridiagonal generated by DSYTRD/TRED1.
*
* E (workspace) DOUBLE PRECISION array,
* dimension( max(NN) )
* The off-diagonal of the tridiagonal generated by
* DSYTRD/TRED1.
*
* E2 (workspace) DOUBLE PRECISION array,
* dimension( max(NN) )
* The square of the off-diagonal of the tridiagonal generated
* by TRED1. (Used by TQLRAT.)
*
* Z (workspace) DOUBLE PRECISION array,
* dimension( max(NN)*max(LDAS) )
* Various output arrays.
*
* WORK (workspace) DOUBLE PRECISION array, dimension( LWORK )
*
* LWORK (input) INTEGER
* Number of elements in WORK. It must be at least
* (a) max( (NNB + 2 )*LDAS )
* (b) max( 5*LDAS )
* (c) NSIZES*NTYPES*NPARMS
* (d) 2*LDAS + 1 + 3*maxNN + 2*maxNN*log2(maxNN) + 3*maxNN**2
* where maxNN = maximum matrix dimension in NN
* log2(x) = smallest integer power of 2 .ge. x
*
* LLWORK (workspace) LOGICAL array of dimension( NPARMS ),
*
* IWORK (workspace) INTEGER array of dimension
* 6 + 6*maxNN + 5*maxNN*log2(maxNN)
*
* 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),
* NBLOCK=NNB(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), NBLOCK=NNB(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 = 4, NSUBS = 23 )
DOUBLE PRECISION ZERO, ONE, TWO
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0, TWO = 2.0D0 )
* ..
* .. Local Scalars ..
LOGICAL RUNTR1, RUNTRD
CHARACTER UPLO
INTEGER I, IC, IINFO, IL, ILWORK, IMODE, IN, INFSOK,
$ IPAR, ISUB, ITYPE, IU, J, J1, J2, J3, J4,
$ LASTL, LDA, LGN, LIWEDC, LIWEVR, LWEDC, LWEVR,
$ M, M11, MM, MMM, MTYPES, N, NANSOK, NB, NSPLIT
DOUBLE PRECISION ABSTOL, EPS1, RLB, RUB, S1, S2, TIME, ULP,
$ ULPINV, UNTIME, VL, VU
* ..
* .. Local Arrays ..
LOGICAL TIMSUB( NSUBS )
CHARACTER*4 PNAMES( 4 )
CHARACTER*9 SUBNAM( NSUBS )
INTEGER IDUMMA( 1 ), INPARM( NSUBS ), IOLDSD( 4 ),
$ KMODE( MAXTYP )
* ..
* .. External Functions ..
INTEGER ILAENV
DOUBLE PRECISION DLAMCH, DOPLA, DSECND, DOPLA2
EXTERNAL DLAMCH, DOPLA, DSECND, DOPLA2, ILAENV
* ..
* .. External Subroutines ..
EXTERNAL ATIMIN, BISECT, DCOPY, DLACPY, DLASET, DLATMS,
$ DORGTR, DORMTR, DPRTBE, DPTEQR, DSTEBZ, DSTEDC,
$ DSTEGR, DSTEIN, DSTEQR, DSTERF, DSYTRD, IMTQL1,
$ IMTQL2, TINVIT, TQLRAT, TRED1, TRIDIB, XLAENV
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, DBLE, INT, LOG, MAX, MIN
* ..
* .. Common blocks ..
COMMON / LATIME / OPS, ITCNT
* ..
* .. Scalars in Common ..
DOUBLE PRECISION ITCNT, OPS
* ..
* .. Data statements ..
DATA SUBNAM / 'DSYTRD', 'DORGTR', 'DORMTR',
$ 'DSTEQR(N)', 'DSTEQR(V)', 'DSTERF',
$ 'DPTEQR(N)', 'DPTEQR(V)', 'DSTEBZ(I)',
$ 'DSTEBZ(V)', 'DSTEIN', 'DSTEDC(N)',
$ 'DSTEDC(I)', 'DSTEDC(V)', 'DSTEGR(N)',
$ 'DSTEGR(V)', 'TRED1', 'IMTQL1', 'IMTQL2',
$ 'TQLRAT', 'TRIDIB', 'BISECT', 'TINVIT' /
DATA INPARM / 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
$ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 /
DATA PNAMES / 'LDA', 'NB', 'bad1', 'bad2' /
DATA KMODE / 4, 3, 1, 5 /
* ..
* .. Executable Statements ..
*
*
* Extract the timing request from the input line.
*
CALL ATIMIN( 'DST', LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO )
*
* Disable timing of DSTEGR if we're non-IEEE-754 compliant.
*
NANSOK = ILAENV( 10, 'DSTEGR', ' ', 0, 0, 0, 0 )
INFSOK = ILAENV( 11, 'DSTEGR', ' ', 0, 0, 0, 0 )
IF( NANSOK.NE.1 .OR. INFSOK.NE.1 ) THEN
TIMSUB(15) = .FALSE.
TIMSUB(16) = .FALSE.
END IF
*
IF( INFO.NE.0 )
$ RETURN
*
* Check that N <= LDA for the input values.
*
DO 20 J2 = 1, NSIZES
DO 10 J1 = 1, NPARMS
IF( NN( J2 ).GT.LDAS( J1 ) ) THEN
INFO = -8
WRITE( NOUT, FMT = 9999 )LINE( 1: 6 )
9999 FORMAT( 1X, A, ' timing run not attempted -- N > LDA',
$ / )
RETURN
END IF
10 CONTINUE
20 CONTINUE
*
* Check LWORK
*
ILWORK = NSIZES*NPARMS*NTYPES
DO 30 J1 = 1, NPARMS
ILWORK = MAX( ILWORK, 5*LDAS( J1 ),
$ ( NNB( J1 )+2 )*LDAS( J1 ) )
30 CONTINUE
IF( ILWORK.GT.LWORK ) THEN
INFO = -18
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 DSYTRD must be run.
*
* RUNTRD -- if DSYTRD must be run.
*
RUNTRD = .FALSE.
IF( TIMSUB( 4 ) .OR. TIMSUB( 5 ) .OR. TIMSUB( 6 ) .OR.
$ TIMSUB( 7 ) .OR. TIMSUB( 8 ) .OR. TIMSUB( 9 ) .OR.
$ TIMSUB( 10 ) .OR. TIMSUB( 11 ) .OR. TIMSUB( 12 ) .OR.
$ TIMSUB( 13 ) .OR. TIMSUB( 14 ) .OR. TIMSUB( 15 ) .OR.
$ TIMSUB( 16 ) )RUNTRD = .TRUE.
*
* Check to see whether TRED1 must be run.
*
* RUNTR1 -- if TRED1 must be run.
*
RUNTR1 = .FALSE.
IF( TIMSUB( 17 ) .OR. TIMSUB( 18 ) .OR. TIMSUB( 19 ) .OR.
$ TIMSUB( 20 ) .OR. TIMSUB( 21 ) .OR. TIMSUB( 22 ) .OR.
$ TIMSUB( 23 ) )RUNTR1 = .TRUE.
*
* Various Constants
*
ULP = DLAMCH( 'Epsilon' )*DLAMCH( 'Base' )
ULPINV = ONE / ULP
CALL XLAENV( 9, 25 )
*
* Zero out OPCNTS, TIMES
*
DO 70 J4 = 1, NSUBS
DO 60 J3 = 1, NSIZES
DO 50 J2 = 1, NTYPES
DO 40 J1 = 1, NPARMS
OPCNTS( J1, J2, J3, J4 ) = ZERO
TIMES( J1, J2, J3, J4 ) = ZERO
40 CONTINUE
50 CONTINUE
60 CONTINUE
70 CONTINUE
*
* Do for each value of N:
*
DO 940 IN = 1, NSIZES
*
N = NN( IN )
IF( N.GT.0 ) THEN
LGN = INT( LOG( DBLE( N ) ) / LOG( TWO ) )
IF( 2**LGN.LT.N )
$ LGN = LGN + 1
IF( 2**LGN.LT.N )
$ LGN = LGN + 1
LWEDC = 1 + 4*N + 2*N*LGN + 3*N**2
LIWEDC = 6 + 6*N + 5*N*LGN
LWEVR = 18*N
LIWEVR = 10*N
ELSE
LWEDC = 8
LIWEDC = 12
LWEVR = 1
LIWEVR = 1
END IF
*
* Do for each .TRUE. value in DOTYPE:
*
MTYPES = MIN( MAXTYP, NTYPES )
IF( NTYPES.EQ.MAXTYP+1 .AND. NSIZES.EQ.1 )
$ MTYPES = NTYPES
DO 930 ITYPE = 1, MTYPES
IF( .NOT.DOTYPE( ITYPE ) )
$ GO TO 930
*
* Save random number seed for error messages
*
DO 80 J = 1, 4
IOLDSD( J ) = ISEED( J )
80 CONTINUE
*
*-----------------------------------------------------------------------
*
* Time the LAPACK Routines
*
* Generate A
*
UPLO = 'L'
IF( ITYPE.LE.MAXTYP ) THEN
IMODE = KMODE( ITYPE )
CALL DLATMS( N, N, 'S', ISEED, 'S', WORK, IMODE, ULPINV,
$ ONE, N, N, UPLO, A, N, WORK( N+1 ), IINFO )
END IF
*
* Time DSYTRD for each pair NNB(j), LDAS(j)
*
IF( TIMSUB( 1 ) ) THEN
DO 110 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
NB = MIN( N, NNB( IPAR ) )
CALL XLAENV( 1, NB )
CALL XLAENV( 2, 2 )
CALL XLAENV( 3, NB )
*
* Time DSYTRD
*
IC = 0
OPS = ZERO
S1 = DSECND( )
90 CONTINUE
CALL DLACPY( UPLO, N, N, A, N, Z, LDA )
CALL DSYTRD( UPLO, N, Z, LDA, D, E, 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 590
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( UPLO, 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( 'DSYTRD', N, 0,
$ 0, 0, NB )
110 CONTINUE
ELSE
IF( RUNTRD ) THEN
CALL DLACPY( UPLO, N, N, A, N, Z, N )
CALL DSYTRD( UPLO, N, Z, N, D, E, 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 590
END IF
END IF
END IF
*
* Time DORGTR for each pair NNB(j), LDAS(j)
*
IF( TIMSUB( 2 ) ) THEN
DO 140 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
NB = MIN( N, NNB( IPAR ) )
CALL XLAENV( 1, NB )
CALL XLAENV( 2, 2 )
CALL XLAENV( 3, NB )
*
* Time DORGTR
*
CALL DLACPY( UPLO, N, N, A, N, Z, LDA )
CALL DSYTRD( UPLO, N, Z, LDA, D, E, WORK, WORK( N+1 ),
$ LWORK-N, IINFO )
IC = 0
OPS = ZERO
S1 = DSECND( )
120 CONTINUE
CALL DLACPY( 'F', N, N, Z, LDA, Z1, LDA )
CALL DORGTR( UPLO, N, Z1, LDA, WORK, WORK( N+1 ),
$ LWORK-N, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 2 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 590
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( 'F', N, N, Z, LDA, Z1, LDA )
130 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 2 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 2 ) = DOPLA2( 'DORGTR', UPLO,
$ N, N, N, 0, NB )
140 CONTINUE
END IF
*
* Time DORMTR for each pair NNB(j), LDAS(j)
*
IF( TIMSUB( 3 ) ) THEN
DO 170 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
NB = MIN( N, NNB( IPAR ) )
CALL XLAENV( 1, NB )
CALL XLAENV( 2, 2 )
CALL XLAENV( 3, NB )
*
* Time DORMTR
*
CALL DLACPY( UPLO, N, N, A, N, Z, LDA )
CALL DSYTRD( UPLO, N, Z, LDA, D, E, WORK, WORK( N+1 ),
$ LWORK-N, IINFO )
IC = 0
OPS = ZERO
S1 = DSECND( )
150 CONTINUE
CALL DCOPY( N, D, 1, WORK( LDA+1 ), 1 )
CALL DCOPY( N-1, E, 1, WORK( 2*LDA+1 ), 1 )
CALL DSTEDC( 'N', N, WORK( LDA+1 ), WORK( 2*LDA+1 ),
$ Z1, LDA, WORK( 3*LDA+1 ), LWEDC, IWORK,
$ LIWEDC, IINFO )
CALL DORMTR( 'L', UPLO, 'N', N, N, Z, LDA, WORK, Z1,
$ LDA, WORK( N+1 ), LWORK-N, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 3 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 590
END IF
*
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 150
*
* Subtract the time used in DCOPY and DSTEDC
*
S1 = DSECND( )
DO 160 J = 1, IC
CALL DCOPY( N, D, 1, WORK( LDA+1 ), 1 )
CALL DCOPY( N-1, E, 1, WORK( 2*LDA+1 ), 1 )
CALL DSTEDC( 'N', N, WORK( LDA+1 ),
$ WORK( 2*LDA+1 ), Z1, LDA,
$ WORK( 3*LDA+1 ), LWEDC, IWORK, LIWEDC,
$ IINFO )
160 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 3 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 3 ) = DOPLA2( 'DORMTR', UPLO,
$ N, N, N, 0, NB )
170 CONTINUE
END IF
*
* Time DSTEQR, SSTERF, DPTEQR, SSTEBZ, SSTEIN, SSTEDC, SSTERV
* for each distinct LDA=LDAS(j)
*
IF( TIMSUB( 4 ) .OR. TIMSUB( 5 ) .OR. TIMSUB( 6 ) .OR.
$ TIMSUB( 7 ) .OR. TIMSUB( 8 ) .OR. TIMSUB( 9 ) .OR.
$ TIMSUB( 10 ) .OR. TIMSUB( 11 ) .OR. TIMSUB( 12 ) .OR.
$ TIMSUB( 13 ) .OR. TIMSUB( 14 ) .OR. TIMSUB( 15 ) .OR.
$ TIMSUB( 16 ) ) THEN
DO 580 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 180 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
180 CONTINUE
IF( LASTL.EQ.0 ) THEN
*
* Time DSTEQR with VECT='N'
*
IF( TIMSUB( 4 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
190 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DSTEQR( 'N', N, WORK, WORK( LDA+1 ), Z,
$ LDA, WORK( 2*LDA+1 ), IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 4 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 210
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 190
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 200 J = 1, IC
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
200 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 )
END IF
*
* Time DSTEQR with VECT='V'
*
210 CONTINUE
IF( TIMSUB( 5 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
220 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DLASET( 'Full', LDA, N, ONE, TWO, Z, LDA )
CALL DSTEQR( 'V', N, WORK, WORK( LDA+1 ), Z,
$ LDA, WORK( 2*LDA+1 ), IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 5 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 240
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 220
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 230 J = 1, IC
CALL DLASET( 'Full', LDA, N, ONE, TWO, Z,
$ LDA )
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
230 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 5 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 5 ) = OPS / DBLE( IC )
END IF
*
* Time DSTERF
*
240 CONTINUE
IF( TIMSUB( 6 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
250 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DSTERF( N, WORK, WORK( LDA+1 ), IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 6 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 270
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 250
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 260 J = 1, IC
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
260 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 6 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 6 ) = OPS / DBLE( IC )
END IF
*
* Time DPTEQR with VECT='N'
*
270 CONTINUE
IF( TIMSUB( 7 ) ) THEN
*
* Modify the tridiagonal matrix to make it
* positive definite.
E2( 1 ) = ABS( D( 1 ) ) + ABS( E( 1 ) )
DO 280 I = 2, N - 1
E2( I ) = ABS( D( I ) ) + ABS( E( I ) ) +
$ ABS( E( I-1 ) )
280 CONTINUE
E2( N ) = ABS( D( N ) ) + ABS( E( N-1 ) )
IC = 0
OPS = ZERO
S1 = DSECND( )
290 CONTINUE
CALL DCOPY( N, E2, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DPTEQR( 'N', N, WORK, WORK( LDA+1 ), Z,
$ LDA, WORK( 2*LDA+1 ), IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 7 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 310
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 290
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 300 J = 1, IC
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
300 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 7 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 7 ) = OPS / DBLE( IC )
END IF
*
* Time DPTEQR with VECT='V'
*
310 CONTINUE
IF( TIMSUB( 8 ) ) THEN
*
* Modify the tridiagonal matrix to make it
* positive definite.
E2( 1 ) = ABS( D( 1 ) ) + ABS( E( 1 ) )
DO 320 I = 2, N - 1
E2( I ) = ABS( D( I ) ) + ABS( E( I ) ) +
$ ABS( E( I-1 ) )
320 CONTINUE
E2( N ) = ABS( D( N ) ) + ABS( E( N-1 ) )
IC = 0
OPS = ZERO
S1 = DSECND( )
330 CONTINUE
CALL DCOPY( N, E2, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DPTEQR( 'V', N, WORK, WORK( LDA+1 ), Z,
$ LDA, WORK( 2*LDA+1 ), IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 8 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 350
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 330
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 340 J = 1, IC
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
340 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 8 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 8 ) = OPS / DBLE( IC )
END IF
*
* Time DSTEBZ(I)
*
350 CONTINUE
IF( TIMSUB( 9 ) ) THEN
IL = 1
IU = N
ABSTOL = ZERO
IC = 0
OPS = ZERO
S1 = DSECND( )
360 CONTINUE
CALL DSTEBZ( 'I', 'B', N, VL, VU, IL, IU,
$ ABSTOL, D, E, MM, NSPLIT, WORK,
$ IWORK, IWORK( LDA+1 ),
$ WORK( 2*LDA+1 ), IWORK( 2*LDA+1 ),
$ IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 9 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 370
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 360
UNTIME = ZERO
*
TIMES( IPAR, ITYPE, IN, 9 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 9 ) = OPS / DBLE( IC )
END IF
*
* Time DSTEBZ(V)
*
370 CONTINUE
IF( TIMSUB( 10 ) ) THEN
IF( N.EQ.1 ) THEN
VL = D( 1 ) - ABS( D( 1 ) )
VU = D( 1 ) + ABS( D( 1 ) )
ELSE
VL = D( 1 ) - ABS( E( 1 ) )
VU = D( 1 ) + ABS( E( 1 ) )
DO 380 I = 2, N - 1
VL = MIN( VL, D( I )-ABS( E( I ) )-
$ ABS( E( I-1 ) ) )
VU = MAX( VU, D( I )+ABS( E( I ) )+
$ ABS( E( I-1 ) ) )
380 CONTINUE
VL = MIN( VL, D( N )-ABS( E( N-1 ) ) )
VU = MAX( VU, D( N )+ABS( E( N-1 ) ) )
END IF
ABSTOL = ZERO
IC = 0
OPS = ZERO
S1 = DSECND( )
390 CONTINUE
CALL DSTEBZ( 'V', 'B', N, VL, VU, IL, IU,
$ ABSTOL, D, E, MM, NSPLIT, WORK,
$ IWORK, IWORK( LDA+1 ),
$ WORK( 2*LDA+1 ), IWORK( 2*LDA+1 ),
$ IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 10 ),
$ IINFO, N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 400
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 390
UNTIME = ZERO
*
TIMES( IPAR, ITYPE, IN, 10 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 10 ) = OPS / DBLE( IC )
END IF
*
* Time DSTEIN
*
400 CONTINUE
IF( TIMSUB( 11 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
410 CONTINUE
CALL DSTEIN( N, D, E, MM, WORK, IWORK,
$ IWORK( LDA+1 ), Z, LDA,
$ WORK( LDA+1 ), IWORK( 2*LDA+1 ),
$ IWORK( 3*LDA+1 ), IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 11 ),
$ IINFO, N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 420
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 410
UNTIME = ZERO
*
TIMES( IPAR, ITYPE, IN, 11 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 11 ) = OPS / DBLE( IC )
END IF
*
* Time DSTEDC with COMPQ='N'
*
420 CONTINUE
IF( TIMSUB( 12 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
430 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DSTEDC( 'N', N, WORK, WORK( LDA+1 ), Z,
$ LDA, WORK( 2*LDA+1 ), LWEDC, IWORK,
$ LIWEDC, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 12 ),
$ IINFO, N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 450
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 430
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 440 J = 1, IC
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
440 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 12 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 12 ) = OPS / DBLE( IC )
END IF
*
* Time DSTEDC with COMPQ='I'
*
450 CONTINUE
IF( TIMSUB( 13 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
460 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DLASET( 'Full', LDA, N, ONE, TWO, Z, LDA )
CALL DSTEDC( 'I', N, WORK, WORK( LDA+1 ), Z,
$ LDA, WORK( 2*LDA+1 ), LWEDC, IWORK,
$ LIWEDC, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 13 ),
$ IINFO, N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 480
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 460
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 470 J = 1, IC
CALL DLASET( 'Full', LDA, N, ONE, TWO, Z,
$ LDA )
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
470 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 13 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 13 ) = OPS / DBLE( IC )
END IF
480 CONTINUE
*
* Time DSTEDC with COMPQ='V'
*
IF( TIMSUB( 14 ) ) THEN
IC = 0
OPS = ZERO
S1 = DSECND( )
490 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DLASET( 'Full', LDA, N, ONE, TWO, Z, LDA )
CALL DSTEDC( 'V', N, WORK, WORK( LDA+1 ), Z,
$ LDA, WORK( 2*LDA+1 ), LWEDC, IWORK,
$ LIWEDC, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 14 ),
$ IINFO, N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 510
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 490
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 500 J = 1, IC
CALL DLASET( 'Full', LDA, N, ONE, TWO, Z,
$ LDA )
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
500 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 14 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 14 ) = OPS / DBLE( IC )
END IF
510 CONTINUE
*
* Time DSTEGR with COMPQ='N'
*
IF( TIMSUB( 15 ) ) THEN
ABSTOL = ZERO
VL = ZERO
VU = ZERO
IL = 1
IU = N
IC = 0
OPS = ZERO
S1 = DSECND( )
520 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DSTEGR( 'N', 'A', N, WORK, WORK( LDA+1 ),
$ VL, VU, IL, IU, ABSTOL, M,
$ WORK( 2*LDA+1 ), Z, LDA, IWORK,
$ WORK( 3*LDA+1 ), LWEVR,
$ IWORK( 2*LDA+1 ), LIWEVR, INFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 15 ),
$ IINFO, N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 540
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 520
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 530 J = 1, IC
CALL DLASET( 'Full', LDA, N, ONE, TWO, Z,
$ LDA )
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
530 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 15 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 15 ) = OPS / DBLE( IC )
END IF
540 CONTINUE
*
* Time DSTEGR with COMPQ='V'
*
IF( TIMSUB( 16 ) ) THEN
ABSTOL = ZERO
VL = ZERO
VU = ZERO
IL = 1
IU = N
IC = 0
OPS = ZERO
S1 = DSECND( )
550 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DSTEGR( 'V', 'A', N, WORK, WORK( LDA+1 ),
$ VL, VU, IL, IU, ABSTOL, M,
$ WORK( 2*LDA+1 ), Z, LDA, IWORK,
$ WORK( 3*LDA+1 ), LWEVR,
$ IWORK( 2*LDA+1 ), LIWEVR, INFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 16 ),
$ IINFO, N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 570
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 550
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 560 J = 1, IC
CALL DLASET( 'Full', LDA, N, ONE, TWO, Z,
$ LDA )
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
560 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 16 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 16 ) = OPS / DBLE( IC )
END IF
570 CONTINUE
*
ELSE
IF( TIMSUB( 4 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 4 ) = OPCNTS( LASTL,
$ ITYPE, IN, 4 )
TIMES( IPAR, ITYPE, IN, 4 ) = TIMES( LASTL,
$ ITYPE, IN, 4 )
END IF
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
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
IF( TIMSUB( 9 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 9 ) = OPCNTS( LASTL,
$ ITYPE, IN, 9 )
TIMES( IPAR, ITYPE, IN, 9 ) = TIMES( LASTL,
$ ITYPE, IN, 9 )
END IF
IF( TIMSUB( 10 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 10 ) = OPCNTS( LASTL,
$ ITYPE, IN, 10 )
TIMES( IPAR, ITYPE, IN, 10 ) = TIMES( LASTL,
$ ITYPE, IN, 10 )
END IF
IF( TIMSUB( 11 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 11 ) = OPCNTS( LASTL,
$ ITYPE, IN, 11 )
TIMES( IPAR, ITYPE, IN, 11 ) = TIMES( LASTL,
$ ITYPE, IN, 11 )
END IF
IF( TIMSUB( 12 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 12 ) = OPCNTS( LASTL,
$ ITYPE, IN, 12 )
TIMES( IPAR, ITYPE, IN, 12 ) = TIMES( LASTL,
$ ITYPE, IN, 12 )
END IF
IF( TIMSUB( 13 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 13 ) = OPCNTS( LASTL,
$ ITYPE, IN, 13 )
TIMES( IPAR, ITYPE, IN, 13 ) = TIMES( LASTL,
$ ITYPE, IN, 13 )
END IF
IF( TIMSUB( 14 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 14 ) = OPCNTS( LASTL,
$ ITYPE, IN, 14 )
TIMES( IPAR, ITYPE, IN, 14 ) = TIMES( LASTL,
$ ITYPE, IN, 14 )
END IF
IF( TIMSUB( 15 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 15 ) = OPCNTS( LASTL,
$ ITYPE, IN, 15 )
TIMES( IPAR, ITYPE, IN, 15 ) = TIMES( LASTL,
$ ITYPE, IN, 15 )
END IF
IF( TIMSUB( 16 ) ) THEN
OPCNTS( IPAR, ITYPE, IN, 16 ) = OPCNTS( LASTL,
$ ITYPE, IN, 16 )
TIMES( IPAR, ITYPE, IN, 16 ) = TIMES( LASTL,
$ ITYPE, IN, 16 )
END IF
END IF
580 CONTINUE
END IF
590 CONTINUE
*
*-----------------------------------------------------------------------
*
* Time the EISPACK Routines
*
* Skip routines if N <= 0 (EISPACK requirement)
*
IF( N.LE.0 )
$ GO TO 930
*
* Time TRED1 for each LDAS(j)
*
IF( TIMSUB( 17 ) ) THEN
DO 630 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 600 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
600 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time TRED1
*
IC = 0
OPS = ZERO
S1 = DSECND( )
610 CONTINUE
CALL DLACPY( 'L', N, N, A, N, Z, LDA )
CALL TRED1( LDA, N, Z, D, E, E2 )
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 610
*
* Subtract the time used in DLACPY.
*
S1 = DSECND( )
DO 620 J = 1, IC
CALL DLACPY( 'L', N, N, A, N, Z, LDA )
620 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 17 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 17 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 17 ) = OPCNTS( LASTL,
$ ITYPE, IN, 17 )
TIMES( IPAR, ITYPE, IN, 17 ) = TIMES( LASTL, ITYPE,
$ IN, 17 )
END IF
630 CONTINUE
ELSE
IF( RUNTR1 ) THEN
CALL DLACPY( 'L', N, N, A, N, Z, LDA )
CALL TRED1( LDA, N, Z, D, E, E2 )
END IF
END IF
*
* Time IMTQL1 for each LDAS(j)
*
IF( TIMSUB( 18 ) ) THEN
DO 670 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 640 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
640 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time IMTQL1
*
IC = 0
OPS = ZERO
S1 = DSECND( )
650 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL IMTQL1( N, WORK, WORK( LDA+1 ), IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 18 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 680
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 650
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 660 J = 1, IC
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
660 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 18 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 18 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 18 ) = OPCNTS( LASTL,
$ ITYPE, IN, 18 )
TIMES( IPAR, ITYPE, IN, 18 ) = TIMES( LASTL, ITYPE,
$ IN, 18 )
END IF
670 CONTINUE
END IF
*
* Time IMTQL2 for each LDAS(j)
*
680 CONTINUE
IF( TIMSUB( 19 ) ) THEN
DO 720 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 690 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
690 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time IMTQL2
*
IC = 0
OPS = ZERO
S1 = DSECND( )
700 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DLASET( 'Full', N, N, ONE, TWO, Z, LDA )
CALL IMTQL2( LDA, N, WORK, WORK( LDA+1 ), Z,
$ IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 19 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 730
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 700
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 710 J = 1, IC
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DLASET( 'Full', N, N, ONE, TWO, Z, LDA )
710 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 19 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 19 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 19 ) = OPCNTS( LASTL,
$ ITYPE, IN, 19 )
TIMES( IPAR, ITYPE, IN, 19 ) = TIMES( LASTL, ITYPE,
$ IN, 19 )
END IF
720 CONTINUE
END IF
*
* Time TQLRAT for each LDAS(j)
*
730 CONTINUE
IF( TIMSUB( 20 ) ) THEN
DO 770 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 740 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
740 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time TQLRAT
*
IC = 0
OPS = ZERO
S1 = DSECND( )
750 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E2, 1, WORK( LDA+1 ), 1 )
CALL TQLRAT( N, WORK, WORK( LDA+1 ), IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 20 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 780
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 750
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 760 J = 1, IC
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E2, 1, WORK( LDA+1 ), 1 )
760 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 20 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 20 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 20 ) = OPCNTS( LASTL,
$ ITYPE, IN, 20 )
TIMES( IPAR, ITYPE, IN, 20 ) = TIMES( LASTL, ITYPE,
$ IN, 20 )
END IF
770 CONTINUE
END IF
*
* Time TRIDIB for each LDAS(j)
*
780 CONTINUE
IF( TIMSUB( 21 ) ) THEN
DO 820 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 790 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
790 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time TRIDIB
*
IC = 0
OPS = ZERO
EPS1 = ZERO
RLB = ZERO
RUB = ZERO
M11 = 1
MM = N
S1 = DSECND( )
800 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DCOPY( N-1, E2, 1, WORK( 2*LDA+1 ), 1 )
CALL TRIDIB( N, EPS1, WORK( 1 ), WORK( LDA+1 ),
$ WORK( 2*LDA+1 ), RLB, RUB, M11, MM,
$ WORK( 3*LDA+1 ), IWORK, IINFO,
$ WORK( 4*LDA+1 ), WORK( 5*LDA+1 ) )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 21 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 830
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 800
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 810 J = 1, IC
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N-1, E, 1, WORK( LDA+1 ), 1 )
CALL DCOPY( N-1, E2, 1, WORK( 2*LDA+1 ), 1 )
810 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 21 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 21 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 21 ) = OPCNTS( LASTL,
$ ITYPE, IN, 21 )
TIMES( IPAR, ITYPE, IN, 21 ) = TIMES( LASTL, ITYPE,
$ IN, 21 )
END IF
820 CONTINUE
END IF
*
* Time BISECT for each LDAS(j)
*
830 CONTINUE
IF( TIMSUB( 22 ) ) THEN
DO 880 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 840 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
840 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time BISECT
*
VL = D( 1 ) - ABS( E( 2 ) )
VU = D( 1 ) + ABS( E( 2 ) )
DO 850 I = 2, N - 1
VL = MIN( VL, D( I )-ABS( E( I+1 ) )-
$ ABS( E( I ) ) )
VU = MAX( VU, D( I )+ABS( E( I+1 ) )+
$ ABS( E( I ) ) )
850 CONTINUE
VL = MIN( VL, D( N )-ABS( E( N ) ) )
VU = MAX( VU, D( N )+ABS( E( N ) ) )
IC = 0
OPS = ZERO
EPS1 = ZERO
MM = N
MMM = 0
S1 = DSECND( )
860 CONTINUE
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N, E, 1, WORK( LDA+1 ), 1 )
CALL DCOPY( N, E2, 1, WORK( 2*LDA+1 ), 1 )
CALL BISECT( N, EPS1, WORK( 1 ), WORK( LDA+1 ),
$ WORK( 2*LDA+1 ), VL, VU, MM, MMM,
$ WORK( 3*LDA+1 ), IWORK, IINFO,
$ WORK( 4*LDA+1 ), WORK( 5*LDA+1 ) )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 22 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 890
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 860
*
* Subtract the time used in DCOPY.
*
S1 = DSECND( )
DO 870 J = 1, IC
CALL DCOPY( N, D, 1, WORK, 1 )
CALL DCOPY( N, E, 1, WORK( LDA+1 ), 1 )
CALL DCOPY( N, E2, 1, WORK( 2*LDA+1 ), 1 )
870 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 22 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 22 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 22 ) = OPCNTS( LASTL,
$ ITYPE, IN, 22 )
TIMES( IPAR, ITYPE, IN, 22 ) = TIMES( LASTL, ITYPE,
$ IN, 22 )
END IF
880 CONTINUE
END IF
*
* Time TINVIT for each LDAS(j)
*
890 CONTINUE
IF( TIMSUB( 23 ) ) THEN
CALL DCOPY( N, WORK( 3*LDA+1 ), 1, WORK( 1 ), 1 )
DO 920 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 900 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
900 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time TINVIT
*
IC = 0
OPS = ZERO
S1 = DSECND( )
910 CONTINUE
CALL TINVIT( LDA, N, D, E, E2, MMM, WORK, IWORK, Z,
$ IINFO, WORK( LDA+1 ), WORK( 2*LDA+1 ),
$ WORK( 3*LDA+1 ), WORK( 4*LDA+1 ),
$ WORK( 5*LDA+1 ) )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 23 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 930
END IF
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 910
UNTIME = ZERO
*
TIMES( IPAR, ITYPE, IN, 23 ) = MAX( TIME-UNTIME,
$ ZERO ) / DBLE( IC )
OPCNTS( IPAR, ITYPE, IN, 23 ) = OPS / DBLE( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 23 ) = OPCNTS( LASTL,
$ ITYPE, IN, 23 )
TIMES( IPAR, ITYPE, IN, 23 ) = TIMES( LASTL, ITYPE,
$ IN, 23 )
END IF
920 CONTINUE
END IF
*
930 CONTINUE
940 CONTINUE
*
*-----------------------------------------------------------------------
*
* Print a table of results for each timed routine.
*
DO 950 ISUB = 1, NSUBS
IF( TIMSUB( ISUB ) ) THEN
CALL DPRTBE( SUBNAM( ISUB ), MTYPES, DOTYPE, NSIZES, NN,
$ INPARM( ISUB ), PNAMES, NPARMS, LDAS, NNB,
$ IDUMMA, IDUMMA, OPCNTS( 1, 1, 1, ISUB ), LDO1,
$ LDO2, TIMES( 1, 1, 1, ISUB ), LDT1, LDT2, WORK,
$ LLWORK, NOUT )
END IF
950 CONTINUE
*
9997 FORMAT( ' DTIM22: ', A, ' returned INFO=', I6, '.', / 9X, 'N=',
$ I6, ', ITYPE=', I6, ', IPAR=', I6, ', ISEED=(',
$ 3( I5, ',' ), I5, ')' )
*
RETURN
*
* End of DTIM22
*
END
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