343 lines
11 KiB
FortranFixed
343 lines
11 KiB
FortranFixed
SUBROUTINE ZTIMHE( LINE, NN, NVAL, NNS, NSVAL, NNB, NBVAL, NLDA,
|
|
$ LDAVAL, TIMMIN, A, B, WORK, IWORK, RESLTS,
|
|
$ LDR1, LDR2, LDR3, NOUT )
|
|
*
|
|
* -- LAPACK timing routine (version 3.1) --
|
|
* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
|
|
* October 2006
|
|
*
|
|
* .. Scalar Arguments ..
|
|
CHARACTER*80 LINE
|
|
INTEGER LDR1, LDR2, LDR3, NLDA, NN, NNB, NNS, NOUT
|
|
DOUBLE PRECISION TIMMIN
|
|
* ..
|
|
* .. Array Arguments ..
|
|
INTEGER IWORK( * ), LDAVAL( * ), NBVAL( * ),
|
|
$ NSVAL( * ), NVAL( * )
|
|
DOUBLE PRECISION RESLTS( LDR1, LDR2, LDR3, * )
|
|
COMPLEX*16 A( * ), B( * ), WORK( * )
|
|
* ..
|
|
*
|
|
* Purpose
|
|
* =======
|
|
*
|
|
* ZTIMHE times ZHETRF, -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.
|
|
*
|
|
* NNB (input) INTEGER
|
|
* The number of values of NB contained in the vector NBVAL.
|
|
*
|
|
* NBVAL (input) INTEGER array, dimension (NNB)
|
|
* The values of the blocksize NB.
|
|
*
|
|
* NLDA (input) INTEGER
|
|
* The number of values of LDA contained in the vector LDAVAL.
|
|
*
|
|
* LDAVAL (input) INTEGER array, dimension (NLDA)
|
|
* The values of the leading dimension of the array A.
|
|
*
|
|
* TIMMIN (input) DOUBLE PRECISION
|
|
* The minimum time a subroutine will be timed.
|
|
*
|
|
* A (workspace) DOUBLE PRECISION array, dimension (LDAMAX*NMAX)
|
|
* where LDAMAX and NMAX are the maximum values permitted
|
|
* for LDA and N.
|
|
*
|
|
* B (workspace) DOUBLE PRECISION array, dimension (LDAMAX*NMAX)
|
|
*
|
|
* WORK (workspace) DOUBLE PRECISION array, dimension (NMAX)
|
|
*
|
|
* IWORK (workspace) INTEGER array, dimension (2*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, NB, and LDA.
|
|
*
|
|
* 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 >= max(1,2*NLDA).
|
|
*
|
|
* NOUT (input) INTEGER
|
|
* The unit number for output.
|
|
*
|
|
* =====================================================================
|
|
*
|
|
* .. Parameters ..
|
|
INTEGER NSUBS
|
|
PARAMETER ( NSUBS = 3 )
|
|
* ..
|
|
* .. Local Scalars ..
|
|
CHARACTER UPLO
|
|
CHARACTER*3 PATH
|
|
CHARACTER(32) CNAME
|
|
INTEGER I, I3, IC, ICL, ILDA, IN, INB, INFO, ISUB,
|
|
$ IUPLO, LDA, LDB, LWORK, MAT, N, NB, NRHS
|
|
DOUBLE PRECISION OPS, S1, S2, TIME, UNTIME
|
|
* ..
|
|
* .. Local Arrays ..
|
|
LOGICAL TIMSUB( NSUBS )
|
|
CHARACTER UPLOS( 2 )
|
|
CHARACTER(32) SUBNAM( NSUBS )
|
|
* ..
|
|
* .. External Functions ..
|
|
INTEGER ILA_LEN_TRIM
|
|
EXTERNAL ILA_LEN_TRIM
|
|
LOGICAL LSAME
|
|
DOUBLE PRECISION DMFLOP, DOPLA, DSECND
|
|
EXTERNAL LSAME, DMFLOP, DOPLA, DSECND
|
|
* ..
|
|
* .. External Subroutines ..
|
|
EXTERNAL ATIMCK, ATIMIN, DPRTBL, XLAENV, ZHETRF, ZHETRI,
|
|
$ ZHETRS, ZLACPY, ZTIMMG
|
|
* ..
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC DBLE, MAX
|
|
* ..
|
|
* .. Data statements ..
|
|
DATA UPLOS / 'U', 'L' /
|
|
DATA SUBNAM / 'ZHETRF', 'ZHETRS', 'ZHETRI' /
|
|
* ..
|
|
* .. Executable Statements ..
|
|
*
|
|
* Extract the timing request from the input line.
|
|
*
|
|
PATH( 1: 1 ) = 'Zomplex precision'
|
|
PATH( 2: 3 ) = 'HE'
|
|
CALL ATIMIN( PATH, LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO )
|
|
IF( INFO.NE.0 )
|
|
$ GO TO 150
|
|
*
|
|
* Check that N <= LDA for the input values.
|
|
*
|
|
CNAME = LINE( 1: 6 )
|
|
CALL ATIMCK( 2, CNAME, NN, NVAL, NLDA, LDAVAL, NOUT, INFO )
|
|
IF( INFO.GT.0 ) THEN
|
|
WRITE( NOUT, FMT = 9999 )CNAME(1:ILA_LEN_TRIM(CNAME))
|
|
GO TO 150
|
|
END IF
|
|
*
|
|
* Do first for UPLO = 'U', then for UPLO = 'L'
|
|
*
|
|
DO 110 IUPLO = 1, 2
|
|
UPLO = UPLOS( IUPLO )
|
|
IF( LSAME( UPLO, 'U' ) ) THEN
|
|
MAT = 6
|
|
ELSE
|
|
MAT = -6
|
|
END IF
|
|
*
|
|
* Do for each value of N in NVAL.
|
|
*
|
|
DO 100 IN = 1, NN
|
|
N = NVAL( IN )
|
|
*
|
|
* Do for each value of LDA:
|
|
*
|
|
DO 90 ILDA = 1, NLDA
|
|
LDA = LDAVAL( ILDA )
|
|
I3 = ( IUPLO-1 )*NLDA + ILDA
|
|
*
|
|
* Do for each value of NB in NBVAL. Only the blocked
|
|
* routines are timed in this loop since the other routines
|
|
* are independent of NB.
|
|
*
|
|
IF( TIMSUB( 1 ) ) THEN
|
|
DO 30 INB = 1, NNB
|
|
NB = NBVAL( INB )
|
|
CALL XLAENV( 1, NB )
|
|
LWORK = MAX( 2*N, NB*N )
|
|
*
|
|
* Time ZHETRF
|
|
*
|
|
CALL ZTIMMG( MAT, N, N, A, LDA, 0, 0 )
|
|
IC = 0
|
|
S1 = DSECND( )
|
|
10 CONTINUE
|
|
CALL ZHETRF( UPLO, N, A, LDA, IWORK, B, LWORK,
|
|
$ 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, B, LDA, 0, 0 )
|
|
GO TO 20
|
|
END IF
|
|
*
|
|
TIME = ( TIME-UNTIME ) / DBLE( IC )
|
|
OPS = DOPLA( 'ZHETRF', N, N, 0, 0, NB )
|
|
RESLTS( INB, IN, I3, 1 ) = DMFLOP( OPS, TIME,
|
|
$ INFO )
|
|
*
|
|
30 CONTINUE
|
|
ELSE
|
|
*
|
|
* If ZHETRF was not timed, generate a matrix and
|
|
* factor it using ZHETRF anyway so that the factored
|
|
* form of the matrix can be used in timing the other
|
|
* routines.
|
|
*
|
|
CALL ZTIMMG( MAT, N, N, A, LDA, 0, 0 )
|
|
NB = 1
|
|
CALL XLAENV( 1, NB )
|
|
CALL ZHETRF( UPLO, N, A, LDA, IWORK, B, LWORK, INFO )
|
|
END IF
|
|
*
|
|
* Time ZHETRI
|
|
*
|
|
IF( TIMSUB( 3 ) ) THEN
|
|
CALL ZLACPY( UPLO, N, N, A, LDA, B, LDA )
|
|
IC = 0
|
|
S1 = DSECND( )
|
|
40 CONTINUE
|
|
CALL ZHETRI( UPLO, N, B, LDA, IWORK, WORK, INFO )
|
|
S2 = DSECND( )
|
|
TIME = S2 - S1
|
|
IC = IC + 1
|
|
IF( TIME.LT.TIMMIN ) THEN
|
|
CALL ZLACPY( UPLO, N, N, A, LDA, B, LDA )
|
|
GO TO 40
|
|
END IF
|
|
*
|
|
* Subtract the time used in ZLACPY.
|
|
*
|
|
ICL = 1
|
|
S1 = DSECND( )
|
|
50 CONTINUE
|
|
S2 = DSECND( )
|
|
UNTIME = S2 - S1
|
|
ICL = ICL + 1
|
|
IF( ICL.LE.IC ) THEN
|
|
CALL ZLACPY( UPLO, N, N, A, LDA, B, LDA )
|
|
GO TO 50
|
|
END IF
|
|
*
|
|
TIME = ( TIME-UNTIME ) / DBLE( IC )
|
|
OPS = DOPLA( 'ZHETRI', N, N, 0, 0, 0 )
|
|
RESLTS( 1, IN, I3, 3 ) = DMFLOP( OPS, TIME, INFO )
|
|
END IF
|
|
*
|
|
* Time ZHETRS
|
|
*
|
|
IF( TIMSUB( 2 ) ) THEN
|
|
DO 80 I = 1, NNS
|
|
NRHS = NSVAL( I )
|
|
LDB = LDA
|
|
CALL ZTIMMG( 0, N, NRHS, B, LDB, 0, 0 )
|
|
IC = 0
|
|
S1 = DSECND( )
|
|
60 CONTINUE
|
|
CALL ZHETRS( UPLO, N, NRHS, A, LDA, 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 60
|
|
END IF
|
|
*
|
|
* Subtract the time used in ZTIMMG.
|
|
*
|
|
ICL = 1
|
|
S1 = DSECND( )
|
|
70 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 70
|
|
END IF
|
|
*
|
|
TIME = ( TIME-UNTIME ) / DBLE( IC )
|
|
OPS = DOPLA( 'ZHETRS', N, NRHS, 0, 0, 0 )
|
|
RESLTS( I, IN, I3, 2 ) = DMFLOP( OPS, TIME, INFO )
|
|
80 CONTINUE
|
|
END IF
|
|
90 CONTINUE
|
|
100 CONTINUE
|
|
110 CONTINUE
|
|
*
|
|
* Print tables of results for each timed routine.
|
|
*
|
|
DO 140 ISUB = 1, NSUBS
|
|
IF( .NOT.TIMSUB( ISUB ) )
|
|
$ GO TO 140
|
|
WRITE( NOUT, FMT = 9998 )
|
|
$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) ))
|
|
IF( NLDA.GT.1 ) THEN
|
|
DO 120 I = 1, NLDA
|
|
WRITE( NOUT, FMT = 9997 )I, LDAVAL( I )
|
|
120 CONTINUE
|
|
END IF
|
|
*
|
|
DO 130 IUPLO = 1, 2
|
|
WRITE( NOUT, FMT = 9996 )
|
|
$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) )),
|
|
$ UPLOS( IUPLO )
|
|
I3 = ( IUPLO-1 )*NLDA + 1
|
|
IF( ISUB.EQ.1 ) THEN
|
|
CALL DPRTBL( 'NB', 'N', NNB, NBVAL, NN, NVAL, NLDA,
|
|
$ RESLTS( 1, 1, I3, 1 ), LDR1, LDR2, NOUT )
|
|
ELSE IF( ISUB.EQ.2 ) THEN
|
|
CALL DPRTBL( 'NRHS', 'N', NNS, NSVAL, NN, NVAL, NLDA,
|
|
$ RESLTS( 1, 1, I3, 2 ), LDR1, LDR2, NOUT )
|
|
ELSE IF( ISUB.EQ.3 ) THEN
|
|
CALL DPRTBL( ' ', 'N', 1, NBVAL, NN, NVAL, NLDA,
|
|
$ RESLTS( 1, 1, I3, 3 ), LDR1, LDR2, NOUT )
|
|
END IF
|
|
130 CONTINUE
|
|
140 CONTINUE
|
|
*
|
|
150 CONTINUE
|
|
9999 FORMAT( 1X, A, ' timing run not attempted' )
|
|
9998 FORMAT( / ' *** Speed of ', A, ' in megaflops ***' )
|
|
9997 FORMAT( 5X, 'line ', I2, ' with LDA = ', I5 )
|
|
9996 FORMAT( / 5X, A, ' with UPLO = ''', A1, '''', / )
|
|
RETURN
|
|
*
|
|
* End of ZTIMHE
|
|
*
|
|
END
|