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SUBROUTINE ZTIMHP( LINE, NN, NVAL, NNS, NSVAL, LA, TIMMIN, A, B,
$ WORK, IWORK, RESLTS, LDR1, LDR2, LDR3, NOUT )
*
* -- LAPACK timing routine (version 3.0) --
* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
* Courant Institute, Argonne National Lab, and Rice University
* March 31, 1993
*
* .. Scalar Arguments ..
CHARACTER*80 LINE
INTEGER LA, LDR1, LDR2, LDR3, NN, NNS, NOUT
DOUBLE PRECISION TIMMIN
* ..
* .. Array Arguments ..
INTEGER IWORK( * ), NSVAL( * ), NVAL( * )
DOUBLE PRECISION RESLTS( LDR1, LDR2, LDR3, * )
COMPLEX*16 A( * ), B( * ), WORK( * )
* ..
*
* Purpose
* =======
*
* ZTIMHP times ZHPTRF, -TRS, and -TRI.
*
* Arguments
* =========
*
* LINE (input) CHARACTER*80
* The input line that requested this routine. The first six
* characters contain either the name of a subroutine or a
* generic path name. The remaining characters may be used to
* specify the individual routines to be timed. See ATIMIN for
* a full description of the format of the input line.
*
* NN (input) INTEGER
* The number of values of N contained in the vector NVAL.
*
* NVAL (input) INTEGER array, dimension (NN)
* The values of the matrix size N.
*
* NNS (input) INTEGER
* The number of values of NRHS contained in the vector NSVAL.
*
* NSVAL (input) INTEGER array, dimension (NNS)
* The values of the number of right hand sides NRHS.
*
* LA (input) INTEGER
* The size of the arrays A, B, and C.
*
* TIMMIN (input) DOUBLE PRECISION
* The minimum time a subroutine will be timed.
*
* A (workspace) COMPLEX*16 array, dimension (LA)
*
* B (workspace) COMPLEX*16 array, dimension (LA)
*
* WORK (workspace) COMPLEX*16 array, dimension (NMAX)
*
* IWORK (workspace) INTEGER array, dimension (NMAX)
* where NMAX is the maximum value of N permitted.
*
* RESLTS (output) DOUBLE PRECISION array, dimension
* (LDR1,LDR2,LDR3,NSUBS)
* The timing results for each subroutine over the relevant
* values of N.
*
* LDR1 (input) INTEGER
* The first dimension of RESLTS. LDR1 >= max(4,NNB).
*
* LDR2 (input) INTEGER
* The second dimension of RESLTS. LDR2 >= max(1,NN).
*
* LDR3 (input) INTEGER
* The third dimension of RESLTS. LDR3 >= 2.
*
* NOUT (input) INTEGER
* The unit number for output.
*
* =====================================================================
*
* .. Parameters ..
INTEGER NSUBS
PARAMETER ( NSUBS = 3 )
* ..
* .. Local Scalars ..
CHARACTER UPLO
CHARACTER*3 PATH
CHARACTER*6 CNAME
INTEGER I, IC, ICL, IN, INFO, ISUB, IUPLO, LDA, LDB,
$ MAT, N, NRHS
DOUBLE PRECISION OPS, S1, S2, TIME, UNTIME
* ..
* .. Local Arrays ..
LOGICAL TIMSUB( NSUBS )
CHARACTER UPLOS( 2 )
CHARACTER*6 SUBNAM( NSUBS )
INTEGER LAVAL( 1 )
* ..
* .. External Functions ..
LOGICAL LSAME
DOUBLE PRECISION DMFLOP, DOPLA, DSECND
EXTERNAL LSAME, DMFLOP, DOPLA, DSECND
* ..
* .. External Subroutines ..
EXTERNAL ATIMCK, ATIMIN, DPRTBL, ZCOPY, ZHPTRF, ZHPTRI,
$ ZHPTRS, ZTIMMG
* ..
* .. Intrinsic Functions ..
INTRINSIC DBLE, MOD
* ..
* .. Data statements ..
DATA UPLOS / 'U', 'L' /
DATA SUBNAM / 'ZHPTRF', 'ZHPTRS', 'ZHPTRI' /
* ..
* .. Executable Statements ..
*
* Extract the timing request from the input line.
*
PATH( 1: 1 ) = 'Zomplex precision'
PATH( 2: 3 ) = 'HP'
CALL ATIMIN( PATH, LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO )
IF( INFO.NE.0 )
$ GO TO 120
*
* Check that N*(N+1)/2 <= LA for the input values.
*
CNAME = LINE( 1: 6 )
LAVAL( 1 ) = LA
CALL ATIMCK( 4, CNAME, NN, NVAL, 1, LAVAL, NOUT, INFO )
IF( INFO.GT.0 ) THEN
WRITE( NOUT, FMT = 9999 )CNAME
GO TO 120
END IF
*
* Do first for UPLO = 'U', then for UPLO = 'L'
*
DO 90 IUPLO = 1, 2
UPLO = UPLOS( IUPLO )
IF( LSAME( UPLO, 'U' ) ) THEN
MAT = 7
ELSE
MAT = -7
END IF
*
* Do for each value of N in NVAL.
*
DO 80 IN = 1, NN
N = NVAL( IN )
LDA = N*( N+1 ) / 2
*
* Time ZHPTRF
*
IF( TIMSUB( 1 ) ) THEN
CALL ZTIMMG( MAT, N, N, A, LDA, 0, 0 )
IC = 0
S1 = DSECND( )
10 CONTINUE
CALL ZHPTRF( UPLO, N, A, IWORK, INFO )
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
CALL ZTIMMG( MAT, N, N, A, LDA, 0, 0 )
GO TO 10
END IF
*
* Subtract the time used in ZTIMMG.
*
ICL = 1
S1 = DSECND( )
20 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
CALL ZTIMMG( MAT, N, N, A, LDA, 0, 0 )
GO TO 20
END IF
*
TIME = ( TIME-UNTIME ) / DBLE( IC )
OPS = DOPLA( 'ZHPTRF', N, N, 0, 0, 0 )
RESLTS( 1, IN, IUPLO, 1 ) = DMFLOP( OPS, TIME, INFO )
*
ELSE
IC = 0
CALL ZTIMMG( MAT, N, N, A, LDA, 0, 0 )
END IF
*
* Generate another matrix and factor it using ZHPTRF so
* that the factored form can be used in timing the other
* routines.
*
IF( IC.NE.1 )
$ CALL ZHPTRF( UPLO, N, A, IWORK, INFO )
*
* Time ZHPTRI
*
IF( TIMSUB( 3 ) ) THEN
CALL ZCOPY( LDA, A, 1, B, 1 )
IC = 0
S1 = DSECND( )
30 CONTINUE
CALL ZHPTRI( UPLO, N, B, IWORK, WORK, INFO )
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
CALL ZCOPY( LDA, A, 1, B, 1 )
GO TO 30
END IF
*
* Subtract the time used in ZCOPY.
*
ICL = 1
S1 = DSECND( )
40 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
CALL ZCOPY( LDA, A, 1, B, 1 )
GO TO 40
END IF
*
TIME = ( TIME-UNTIME ) / DBLE( IC )
OPS = DOPLA( 'ZHPTRI', N, N, 0, 0, 0 )
RESLTS( 1, IN, IUPLO, 3 ) = DMFLOP( OPS, TIME, INFO )
END IF
*
* Time ZHPTRS
*
IF( TIMSUB( 2 ) ) THEN
DO 70 I = 1, NNS
NRHS = NSVAL( I )
LDB = N
IF( MOD( LDB, 2 ).EQ.0 )
$ LDB = LDB + 1
CALL ZTIMMG( 0, N, NRHS, B, LDB, 0, 0 )
IC = 0
S1 = DSECND( )
50 CONTINUE
CALL ZHPTRS( UPLO, N, NRHS, A, IWORK, B, LDB, INFO )
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
CALL ZTIMMG( 0, N, NRHS, B, LDB, 0, 0 )
GO TO 50
END IF
*
* Subtract the time used in ZTIMMG.
*
ICL = 1
S1 = DSECND( )
60 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
CALL ZTIMMG( 0, N, NRHS, B, LDB, 0, 0 )
GO TO 60
END IF
*
TIME = ( TIME-UNTIME ) / DBLE( IC )
OPS = DOPLA( 'ZHPTRS', N, NRHS, 0, 0, 0 )
RESLTS( I, IN, IUPLO, 2 ) = DMFLOP( OPS, TIME, INFO )
70 CONTINUE
END IF
80 CONTINUE
90 CONTINUE
*
* Print tables of results for each timed routine.
*
DO 110 ISUB = 1, NSUBS
IF( .NOT.TIMSUB( ISUB ) )
$ GO TO 110
WRITE( NOUT, FMT = 9998 )SUBNAM( ISUB )
DO 100 IUPLO = 1, 2
WRITE( NOUT, FMT = 9997 )SUBNAM( ISUB ), UPLOS( IUPLO )
IF( ISUB.EQ.1 ) THEN
CALL DPRTBL( ' ', 'N', 1, LAVAL, NN, NVAL, 1,
$ RESLTS( 1, 1, IUPLO, 1 ), LDR1, LDR2, NOUT )
ELSE IF( ISUB.EQ.2 ) THEN
CALL DPRTBL( 'NRHS', 'N', NNS, NSVAL, NN, NVAL, 1,
$ RESLTS( 1, 1, IUPLO, 2 ), LDR1, LDR2, NOUT )
ELSE IF( ISUB.EQ.3 ) THEN
CALL DPRTBL( ' ', 'N', 1, LAVAL, NN, NVAL, 1,
$ RESLTS( 1, 1, IUPLO, 3 ), LDR1, LDR2, NOUT )
END IF
100 CONTINUE
110 CONTINUE
120 CONTINUE
9999 FORMAT( 1X, A6, ' timing run not attempted', / )
9998 FORMAT( / ' *** Speed of ', A6, ' in megaflops ***', / )
9997 FORMAT( 5X, A6, ' with UPLO = ''', A1, '''', / )
RETURN
*
* End of ZTIMHP
*
END
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