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|
SUBROUTINE CTIM21( LINE, NSIZES, NN, NTYPES, DOTYPE, NPARMS, NNB,
$ NSHFTS, MAXBS, LDAS, TIMMIN, NOUT, ISEED, A,
$ ARE, AIM, H, HRE, HIM, Z, ZRE, ZIM, W, WRE,
$ WIM, WORK, WORKRE, WORKIM, LWORK, RWORK,
$ 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
REAL TIMMIN
* ..
* .. Array Arguments ..
LOGICAL DOTYPE( * ), LLWORK( * )
INTEGER ISEED( * ), IWORK( * ), LDAS( * ), MAXBS( * ),
$ NN( * ), NNB( * ), NSHFTS( * )
REAL AIM( * ), ARE( * ), HIM( * ), HRE( * ),
$ OPCNTS( LDO1, LDO2, LDO3, * ), RWORK( * ),
$ TIMES( LDT1, LDT2, LDT3, * ), WIM( * ),
$ WORKIM( * ), WORKRE( * ), WRE( * ), ZIM( * ),
$ ZRE( * )
COMPLEX A( * ), H( * ), W( * ), WORK( * ), Z( * )
* ..
*
* Purpose
* =======
*
* CTIM21 times the LAPACK routines for the COMPLEX 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 CGEHRD, indicating that only routine CGEHRD will
* be timed, or it may contain a generic name, such as CHS.
* 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: CGEHRD
* 2: CHSEQR(JOB='E')
* 3: CHSEQR(JOB='S')
* 4: CHSEQR(JOB='I')
* 5: CTREVC(JOB='L')
* 6: CTREVC(JOB='R')
* 7: CHSEIN(JOB='L')
* 8: CHSEIN(JOB='R')
* EISPACK:
* 9: CORTH (compare with CGEHRD)
* 10: COMQR (compare w/ CHSEQR -- JOB='E')
* 11: COMQR2 (compare w/ CHSEQR(JOB='I') plus CTREVC(JOB='R'))
* 12: CINVIT (compare with CHSEIN)
* 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 unitary (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
* arguments
* (j=2,6) geometrically spaced entries 1, ..., ULP with random
* arguments
* (j=3,7) "clustered" entries 1, ULP,..., ULP with random
* arguments
* (j=4,8) eigenvalues randomly chosen from ( ULP, 1 ) with
* random arguments
* 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 CLAHQR (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) REAL
* 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 CTIM21
*
* A (workspace) COMPLEX array,
* dimension( max(NN)*max(LDAS) )
* (a) During the testing of CGEHRD, the original matrix to
* be tested.
* (b) Later, the Schur form of the original matrix.
*
* ARE (workspace) REAL array,
* dimension( max(NN)*max(LDAS) )
* (a) During the testing of CORTH, the real part of the
* (b) Later, the Schur form of the original matrix.
* May be equivalenced with first half of A in calling routine.
*
* AIM (workspace) REAL array,
* dimension( max(NN)*max(LDAS) )
* (a) During the testing of CORTH, the imaginary part of the
* original matrix to be tested.
* (b) Later, the Schur form of the original matrix.
* May be equivalenced with second half of A in calling
* routine.
*
* H (workspace) COMPLEX array,
* dimension( max(NN)*max(LDAS) )
* The Hessenberg form of the original matrix.
*
* HRE (workspace) REAL array,
* dimension( max(NN)*max(LDAS) )
* The real part of the Hessenberg form of the original matrix.
* May be equivalenced with first half of H in calling routine.
* Used for testing EISPACK routines.
*
* HIM (workspace) REAL array,
* dimension( max(NN)*max(LDAS) )
* The imaginary part of the Hessenberg form of the original
* matrix. May be equivalenced with second half of H in calling
* routine. Used for testing EISPACK routines.
*
* Z (workspace) COMPLEX array,
* dimension( max(NN)*max(LDAS) )
* Various output arrays: from CGEHRD and CHSEQR, the
* unitary reduction matrices; from CTREVC and CHSEIN,
* the eigenvector matrices.
*
* ZRE (workspace) REAL array,
* dimension( max(NN)*max(LDAS) )
* Various output arrays in testing EISPACK routines.
* May be equivalenced with first half of Z in calling routine.
*
* ZIM (workspace) REAL array,
* dimension( max(NN)*max(LDAS) )
* Various output arrays in testing EISPACK routines.
* May be equivalenced with second half of Z in calling
* routine.
*
* W (workspace) COMPLEX array, dimension( 2*max(LDAS) )
* Holds computed eigenvalues.
*
* WRE (workspace) REAL array,
* dimension( 2*max(LDAS) )
* Holds real parts of computed eigenvalues. Used for testing
* EISPACK routines. May be equivalenced with first half of W
* in calling routine.
*
* WIM (workspace) REAL array,
* dimension( 2*max(LDAS) )
* Holds imaginary parts of computed eigenvalues. Used for
* testing EISPACK routines. May be equivalenced with second
* half of W in calling routine.
*
* WORK (workspace) COMPLEX array, dimension( LWORK )
*
* WORKRE (workspace) REAL array, dimension( LWORK )
* May be equivalenced with first half of WORK in calling
* routine.
*
* WORKIM (workspace) REAL array, dimension( LWORK )
* May be equivalenced with second half of WORK in calling
* routine.
*
* 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 + max(NN)
* (f) 4*max(NN)
*
* RWORK (workspace) REAL array, dimension
* ( max(max(NN),NSIZES*NTYPES*NPARMS) )
* This should *not* be EQUIVALENCEd with any part of WORK.
*
* 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 CHSEIN.
*
* TIMES (output) REAL 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) REAL 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 )
REAL ZERO, ONE
PARAMETER ( ZERO = 0.0E0, ONE = 1.0E0 )
COMPLEX CONE
PARAMETER ( CONE = ( 1.0E0, 0.0E0 ) )
* ..
* .. 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, MAXB, MBMAX,
$ MTYPES, N, NB, NBMAX, NMAX, NSBMAX,
$ NSHIFT, NSMAX
REAL 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 ..
REAL SLAMCH, SECOND, SOPLA
EXTERNAL SLAMCH, SECOND, SOPLA
* ..
* .. External Subroutines ..
EXTERNAL ATIMIN, CGEHRD, CHSEIN, CHSEQR, CINVIT, CLACPY,
$ CLATME, COMQR, COMQR2, CORTH, CTREVC, SLACPY,
$ SLASET, SPRTBE, XLAENV
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, AIMAG, MAX, MIN, REAL, SQRT
* ..
* .. Common blocks ..
COMMON / LATIME / OPS, ITCNT
* ..
* .. Scalars in Common ..
REAL ITCNT, OPS
* ..
* .. Data statements ..
DATA SUBNAM / 'CGEHRD', 'CHSEQR(E)', 'CHSEQR(S)',
$ 'CHSEQR(V)', 'CTREVC(L)', 'CTREVC(R)',
$ 'CHSEIN(L)', 'CHSEIN(R)', 'CORTH', 'COMQR',
$ 'COMQR2', 'CINVIT' /
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( 'CHS', 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( 4, 3*NBMAX+2, NSBMAX+1 ),
$ NSMAX*( NSMAX+NMAX ), MBMAX*( MBMAX+NMAX ),
$ ( NMAX+1 )*NMAX ) ) THEN
INFO = -29
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 CGEHRD or CHSEQR must be run.
*
* RUNQRE -- if CHSEQR must be run to get eigenvalues.
* RUNQRS -- if CHSEQR must be run to get Schur form.
* RUNHRD -- if CGEHRD 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 CORTH or COMQR must be run.
*
* RUNHQR -- if COMQR must be run to get eigenvalues.
* RUNORT -- if CORTH 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 = SLAMCH( 'Epsilon' )*SLAMCH( '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 550 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 540 ITYPE = 1, MTYPES
IF( .NOT.DOTYPE( ITYPE ) )
$ GO TO 540
*
* 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 CLATME( N, 'S', ISEED, WORK, IMODE, ULPINV, CONE,
$ ADUMMA, 'T', 'T', 'T', RWORK, 4, CONDS, N,
$ N, ONE, A, N, WORK( N+1 ), IINFO )
END IF
*
* Time CGEHRD 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 CGEHRD
*
IC = 0
OPS = ZERO
S1 = SECOND( )
90 CONTINUE
CALL CLACPY( 'Full', N, N, A, N, H, LDA )
*
CALL CGEHRD( 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 540
END IF
*
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 90
*
* Subtract the time used in CLACPY.
*
S1 = SECOND( )
DO 100 J = 1, IC
CALL CLACPY( 'Full', N, N, A, N, Z, LDA )
100 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 1 ) = MAX( TIME-UNTIME,
$ ZERO ) / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 1 ) = SOPLA( 'CGEHRD', 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 CLACPY( 'Full', N, N, A, N, H, N )
*
CALL CGEHRD( 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 540
END IF
LDH = N
END IF
END IF
*
* Time CHSEQR 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 CHSEQR with JOB='E'
*
IC = 0
OPS = ZERO
S1 = SECOND( )
120 CONTINUE
CALL CLACPY( 'Full', N, N, H, LDH, A, LDA )
*
CALL CHSEQR( 'E', 'N', N, 1, N, A, LDA, W, 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 540
END IF
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 120
*
* Subtract the time used in CLACPY.
*
S1 = SECOND( )
DO 130 J = 1, IC
CALL CLACPY( 'Full', N, N, H, LDH, Z, LDA )
130 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 2 ) = MAX( TIME-UNTIME,
$ ZERO ) / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 2 ) = OPS / REAL( IC )
140 CONTINUE
LDT = 0
ELSE
IF( RUNQRE ) THEN
CALL CLACPY( 'Full', N, N, H, LDH, A, N )
*
CALL CHSEQR( 'E', 'N', N, 1, N, A, N, W, 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 540
END IF
LDT = 0
END IF
END IF
*
* Time CHSEQR 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 )
NB = 1
NSHIFT = NSHFTS( IPAR )
MAXB = MAXBS( IPAR )
CALL XLAENV( 4, NSHIFT )
CALL XLAENV( 8, MAXB )
*
* Time CHSEQR with JOB='S'
*
IC = 0
OPS = ZERO
S1 = SECOND( )
150 CONTINUE
CALL CLACPY( 'Full', N, N, H, LDH, A, LDA )
*
CALL CHSEQR( 'S', 'N', N, 1, N, A, LDA, W, 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 540
END IF
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 150
*
* Subtract the time used in CLACPY.
*
S1 = SECOND( )
DO 160 J = 1, IC
CALL CLACPY( 'Full', N, N, H, LDH, Z, LDA )
160 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 3 ) = MAX( TIME-UNTIME,
$ ZERO ) / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 3 ) = OPS / REAL( IC )
170 CONTINUE
LDT = LDA
ELSE
IF( RUNQRS ) THEN
CALL CLACPY( 'Full', N, N, H, LDH, A, N )
*
CALL CHSEQR( 'S', 'N', N, 1, N, A, N, W, 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 540
END IF
LDT = N
END IF
END IF
*
* Time CHSEQR 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 )
NB = 1
NSHIFT = NSHFTS( IPAR )
MAXB = MAXBS( IPAR )
CALL XLAENV( 4, NSHIFT )
CALL XLAENV( 8, MAXB )
*
* Time CHSEQR with JOB='I'
*
IC = 0
OPS = ZERO
S1 = SECOND( )
180 CONTINUE
CALL CLACPY( 'Full', N, N, H, LDH, A, LDA )
*
CALL CHSEQR( 'S', 'I', N, 1, N, A, LDA, W, 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 540
END IF
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 180
*
* Subtract the time used in CLACPY.
*
S1 = SECOND( )
DO 190 J = 1, IC
CALL CLACPY( 'Full', N, N, H, LDH, Z, LDA )
190 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 4 ) = MAX( TIME-UNTIME,
$ ZERO ) / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 4 ) = OPS / REAL( IC )
200 CONTINUE
LDT = LDA
END IF
*
* Time CTREVC and CHSEIN with various values of LDA
*
* Select All Eigenvectors
*
DO 210 J = 1, N
LLWORK( J ) = .TRUE.
210 CONTINUE
*
DO 350 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 CTREVC
*
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 CTREVC for Left Eigenvectors
*
IF( TIMSUB( 5 ) ) THEN
IC = 0
OPS = ZERO
S1 = SECOND( )
270 CONTINUE
*
CALL CTREVC( 'L', 'A', LLWORK, N, A, LDA, Z, LDA,
$ Z, LDA, N, ITEMP, WORK, RWORK, IINFO )
*
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 5 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 540
END IF
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 270
*
TIMES( IPAR, ITYPE, IN, 5 ) = TIME / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 5 ) = OPS / REAL( IC )
END IF
*
* Time CTREVC for Right Eigenvectors
*
IF( TIMSUB( 6 ) ) THEN
IC = 0
OPS = ZERO
S1 = SECOND( )
280 CONTINUE
CALL CTREVC( 'R', 'A', LLWORK, N, A, LDA, Z, LDA,
$ Z, LDA, N, ITEMP, WORK, RWORK, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 6 ), IINFO, N,
$ ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 540
END IF
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 280
*
TIMES( IPAR, ITYPE, IN, 6 ) = TIME / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 6 ) = OPS / REAL( 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 CHSEIN
*
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
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
320 CONTINUE
END IF
LDH = LDA
*
* Time CHSEIN for Left Eigenvectors
*
IF( TIMSUB( 7 ) ) THEN
IC = 0
OPS = ZERO
S1 = SECOND( )
330 CONTINUE
*
CALL CHSEIN( 'L', 'Q', 'N', LLWORK, N, H, LDA, W,
$ Z, LDA, Z, LDA, N, ITEMP, WORK, RWORK,
$ 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 540
END IF
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 330
*
TIMES( IPAR, ITYPE, IN, 7 ) = TIME / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 7 ) = OPS / REAL( IC )
END IF
*
* Time CHSEIN for Right Eigenvectors
*
IF( TIMSUB( 8 ) ) THEN
IC = 0
OPS = ZERO
S1 = SECOND( )
340 CONTINUE
*
CALL CHSEIN( 'R', 'Q', 'N', LLWORK, N, H, LDA, W,
$ Z, LDA, Z, LDA, N, ITEMP, WORK, RWORK,
$ 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 540
END IF
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 340
*
TIMES( IPAR, ITYPE, IN, 8 ) = TIME / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 8 ) = OPS / REAL( 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
350 CONTINUE
*
*-----------------------------------------------------------------------
*
* Time the EISPACK Routines
*
* Restore random number seed
*
DO 360 J = 1, 4
ISEED( J ) = IOLDSD( J )
360 CONTINUE
*
* Re-generate A, copy to ARE and AIM
*
IF( ITYPE.LE.MAXTYP ) THEN
IMODE = KMODE( ITYPE )
IF( ICONDS.EQ.1 ) THEN
CONDS = ONE
ELSE
CONDS = RTULPI
END IF
CALL CLATME( N, 'S', ISEED, WORK, IMODE, ULPINV, CONE,
$ ADUMMA, 'T', 'T', 'T', RWORK, 4, CONDS, N,
$ N, ONE, H, N, WORK( N+1 ), IINFO )
DO 370 J = 1, N*N
ARE( J ) = REAL( H( J ) )
AIM( J ) = AIMAG( H( J ) )
370 CONTINUE
END IF
*
* Time CORTH for each LDAS(j)
*
IF( TIMSUB( 9 ) ) THEN
DO 410 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 380 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
380 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time CORTH
*
IC = 0
OPS = ZERO
S1 = SECOND( )
390 CONTINUE
CALL SLACPY( 'Full', N, N, ARE, N, HRE, LDA )
CALL SLACPY( 'Full', N, N, AIM, N, HIM, LDA )
CALL CORTH( LDA, N, 1, N, HRE, HIM, WORKRE,
$ WORKIM )
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 390
*
* Subtract the time used in CLACPY.
*
S1 = SECOND( )
DO 400 J = 1, IC
CALL SLACPY( 'Full', N, N, ARE, N, ZRE, LDA )
CALL SLACPY( 'Full', N, N, AIM, N, ZIM, LDA )
400 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 9 ) = MAX( TIME-UNTIME,
$ ZERO ) / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 9 ) = OPS / REAL( 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
410 CONTINUE
ELSE
IF( RUNORT ) THEN
CALL SLACPY( 'Full', N, N, ARE, N, HRE, N )
CALL SLACPY( 'Full', N, N, AIM, N, HIM, N )
CALL CORTH( N, N, 1, N, HRE, HIM, WORKRE, WORKIM )
LDH = N
END IF
END IF
*
* Time COMQR for each LDAS(j)
*
IF( TIMSUB( 10 ) ) THEN
DO 450 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 420 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
420 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time COMQR
*
IC = 0
OPS = ZERO
S1 = SECOND( )
430 CONTINUE
CALL SLACPY( 'Full', N, N, HRE, LDH, ARE, LDA )
CALL SLACPY( 'Full', N, N, HIM, LDH, AIM, LDA )
CALL COMQR( LDA, N, 1, N, ARE, AIM, WRE, WIM,
$ IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 10 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 540
END IF
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 430
*
* Subtract the time used in CLACPY.
*
S1 = SECOND( )
DO 440 J = 1, IC
CALL SLACPY( 'Full', N, N, HRE, LDH, ZRE, LDA )
CALL SLACPY( 'Full', N, N, HIM, LDH, ZIM, LDA )
440 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 10 ) = MAX( TIME-UNTIME,
$ ZERO ) / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 10 ) = OPS / REAL( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 10 ) = OPCNTS( LASTL,
$ ITYPE, IN, 10 )
TIMES( IPAR, ITYPE, IN, 10 ) = TIMES( LASTL, ITYPE,
$ IN, 10 )
END IF
450 CONTINUE
ELSE
IF( RUNHQR ) THEN
CALL SLACPY( 'Full', N, N, HRE, LDH, ARE, N )
CALL SLACPY( 'Full', N, N, HIM, LDH, AIM, N )
CALL COMQR( N, N, 1, N, ARE, AIM, WRE, WIM, IINFO )
END IF
END IF
*
* Time COMQR2 for each LDAS(j)
*
IF( TIMSUB( 11 ) ) THEN
DO 490 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 460 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
460 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Time COMQR2
*
IC = 0
OPS = ZERO
S1 = SECOND( )
470 CONTINUE
CALL SLACPY( 'Full', N, N, HRE, LDH, ARE, LDA )
CALL SLACPY( 'Full', N, N, HIM, LDH, AIM, LDA )
CALL SLASET( 'Full', N, N, ZERO, ONE, ZRE, LDA )
CALL SLASET( 'Full', N, N, ZERO, ZERO, ZIM, LDA )
CALL SLASET( 'Full', 1, N, ZERO, ZERO, WORKRE, 1 )
CALL SLASET( 'Full', 1, N, ZERO, ZERO, WORKIM, 1 )
CALL COMQR2( LDA, N, 1, N, WORKRE, WORKIM, ARE,
$ AIM, WRE, WIM, ZRE, ZIM, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 11 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 540
END IF
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 470
*
* Subtract the time used in CLACPY.
*
S1 = SECOND( )
DO 480 J = 1, IC
CALL SLACPY( 'Full', N, N, HRE, LDH, ZRE, LDA )
CALL SLACPY( 'Full', N, N, HIM, LDH, ZIM, LDA )
480 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
*
TIMES( IPAR, ITYPE, IN, 11 ) = MAX( TIME-UNTIME,
$ ZERO ) / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 11 ) = OPS / REAL( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 11 ) = OPCNTS( LASTL,
$ ITYPE, IN, 11 )
TIMES( IPAR, ITYPE, IN, 11 ) = TIMES( LASTL, ITYPE,
$ IN, 11 )
END IF
490 CONTINUE
END IF
*
* Time CINVIT for each LDAS(j)
*
* Select All Eigenvectors
*
DO 500 J = 1, N
LLWORK( J ) = .TRUE.
500 CONTINUE
*
IF( TIMSUB( 12 ) ) THEN
DO 530 IPAR = 1, NPARMS
LDA = LDAS( IPAR )
*
* If this value of LDA has come up before, just use
* the value previously computed.
*
LASTL = 0
DO 510 J = 1, IPAR - 1
IF( LDA.EQ.LDAS( J ) )
$ LASTL = J
510 CONTINUE
*
IF( LASTL.EQ.0 ) THEN
*
* Copy H if necessary to get right LDA.
*
IF( LDA.NE.LDH ) THEN
CALL SLACPY( 'Full', N, N, HRE, LDH, ZRE, LDA )
CALL SLACPY( 'Full', N, N, HIM, LDH, ZIM, LDA )
CALL SLACPY( 'Full', N, N, ZRE, LDA, HRE, LDA )
CALL SLACPY( 'Full', N, N, ZIM, LDA, HIM, LDA )
END IF
LDH = LDA
*
* Time CINVIT for right eigenvectors.
*
IC = 0
OPS = ZERO
S1 = SECOND( )
520 CONTINUE
CALL CINVIT( LDA, N, HRE, HIM, WRE, WIM, LLWORK, N,
$ ITEMP, ZRE, ZIM, IINFO, WORKRE( N+1 ),
$ WORKIM( N+1 ), WORKRE, WORKIM )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9997 )SUBNAM( 12 ), IINFO,
$ N, ITYPE, IPAR, IOLDSD
INFO = ABS( IINFO )
GO TO 540
END IF
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN )
$ GO TO 520
*
* TIME = TIME / REAL( IC )
* OPS1 = OPS / REAL( IC )
* OPCNTS( IPAR, ITYPE, IN, 12 ) = OPS1
* TIMES( IPAR, ITYPE, IN, 12 ) = SMFLOP( OPS1, TIME,
* $ IINFO )
TIMES( IPAR, ITYPE, IN, 12 ) = TIME / REAL( IC )
OPCNTS( IPAR, ITYPE, IN, 12 ) = OPS / REAL( IC )
ELSE
OPCNTS( IPAR, ITYPE, IN, 12 ) = OPCNTS( LASTL,
$ ITYPE, IN, 12 )
TIMES( IPAR, ITYPE, IN, 12 ) = TIMES( LASTL, ITYPE,
$ IN, 12 )
END IF
530 CONTINUE
END IF
*
540 CONTINUE
550 CONTINUE
*
*-----------------------------------------------------------------------
*
* Print a table of results for each timed routine.
*
ISUB = 1
IF( TIMSUB( ISUB ) ) THEN
CALL SPRTBE( 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,
$ RWORK, LLWORK, NOUT )
END IF
*
DO 555 IN = 1, NPARMS
NNB( IN ) = 1
555 CONTINUE
*
DO 560 ISUB = 2, NSUBS
IF( TIMSUB( ISUB ) ) THEN
CALL SPRTBE( 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,
$ RWORK, LLWORK, NOUT )
END IF
560 CONTINUE
*
9997 FORMAT( ' CTIM21: ', A, ' returned INFO=', I6, '.', / 9X, 'N=',
$ I6, ', ITYPE=', I6, ', IPAR=', I6, ', ISEED=(',
$ 3( I5, ',' ), I5, ')' )
*
RETURN
*
* End of CTIM21
*
END
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