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SUBROUTINE CTIMPT( LINE, NM, MVAL, NNS, NSVAL, NLDA, LDAVAL,
$ TIMMIN, D, E, B, 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 LDR1, LDR2, LDR3, NLDA, NM, NNS, NOUT
REAL TIMMIN
* ..
* .. Array Arguments ..
INTEGER LDAVAL( * ), MVAL( * ), NSVAL( * )
REAL D( * ), RESLTS( LDR1, LDR2, LDR3, * )
COMPLEX B( * ), E( * )
* ..
*
* Purpose
* =======
*
* CTIMPT times CPTTRF, -TRS, -SV, and -SL.
*
* 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.
*
* NM (input) INTEGER
* The number of values of M contained in the vector MVAL.
*
* MVAL (input) INTEGER array, dimension (NM)
* The values of the matrix size M.
*
* 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.
*
* 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) REAL
* The minimum time a subroutine will be timed.
*
* D (workspace) REAL array, dimension (NMAX)
* where NMAX is the maximum value permitted for N.
*
* E (workspace) COMPLEX array, dimension (2*NMAX)
* where NMAX is the maximum value permitted for N.
*
* B (workspace) COMPLEX array, dimension (LDAMAX*NMAX)
*
* RESLTS (output) REAL array, dimension
* (LDR1,LDR2,LDR3,NSUBS+1)
* The timing results for each subroutine over the relevant
* values of N.
*
* LDR1 (input) INTEGER
* The first dimension of RESLTS. LDR1 >= 1.
*
* LDR2 (input) INTEGER
* The second dimension of RESLTS. LDR2 >= max(1,NM).
*
* LDR3 (input) INTEGER
* The third dimension of RESLTS. LDR3 >= max(1,NLDA).
*
* NOUT (input) INTEGER
* The unit number for output.
*
* =====================================================================
*
* .. Parameters ..
INTEGER NSUBS
PARAMETER ( NSUBS = 4 )
* ..
* .. Local Scalars ..
CHARACTER UPLO
CHARACTER*3 PATH
CHARACTER*6 CNAME
INTEGER I, IC, ICL, ILDA, IM, INFO, IOFF, ISUB, IUPLO,
$ J, LDB, M, N, NRHS
REAL OPS, S1, S2, TIME, UNTIME
* ..
* .. Local Arrays ..
LOGICAL TIMSUB( NSUBS )
CHARACTER*6 SUBNAM( NSUBS )
INTEGER ISEED( 4 ), LAVAL( 1 )
* ..
* .. External Functions ..
REAL SECOND, SMFLOP, SOPLA
EXTERNAL SECOND, SMFLOP, SOPLA
* ..
* .. External Subroutines ..
EXTERNAL ATIMCK, ATIMIN, CLARNV, CPTSL, CPTSV, CPTTRF,
$ CPTTRS, CTIMMG, SPRTBL
* ..
* .. Intrinsic Functions ..
INTRINSIC MAX, REAL
* ..
* .. Data statements ..
DATA SUBNAM / 'CPTTRF', 'CPTTRS', 'CPTSV ',
$ 'CPTSL ' /
DATA ISEED / 0, 0, 0, 1 /
* ..
* .. Executable Statements ..
*
* Extract the timing request from the input line.
*
PATH( 1: 1 ) = 'Complex precision'
PATH( 2: 3 ) = 'PT'
CALL ATIMIN( PATH, LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO )
IF( INFO.NE.0 )
$ GO TO 280
*
* Check that N <= LDA for the input values.
*
DO 10 ISUB = 2, NSUBS
IF( .NOT.TIMSUB( ISUB ) )
$ GO TO 10
CNAME = SUBNAM( ISUB )
CALL ATIMCK( 2, CNAME, NM, MVAL, NLDA, LDAVAL, NOUT, INFO )
IF( INFO.GT.0 ) THEN
WRITE( NOUT, FMT = 9999 )CNAME
TIMSUB( ISUB ) = .FALSE.
END IF
10 CONTINUE
*
* Do for each value of M:
*
DO 250 IM = 1, NM
*
M = MVAL( IM )
N = MAX( M, 1 )
*
* Time CPTTRF
*
IF( TIMSUB( 1 ) ) THEN
DO 20 J = 1, N
D( J ) = 3.0
20 CONTINUE
CALL CLARNV( 2, ISEED, N-1, E )
IC = 0
S1 = SECOND( )
30 CONTINUE
CALL CPTTRF( M, D, E, INFO )
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
DO 40 J = 1, N
D( J ) = 3.0
40 CONTINUE
CALL CLARNV( 2, ISEED, N-1, E )
GO TO 30
END IF
*
* Subtract the time used in STIMMG.
*
ICL = 1
S1 = SECOND( )
50 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
DO 60 J = 1, N
D( J ) = 3.0
60 CONTINUE
CALL CLARNV( 2, ISEED, N-1, E )
GO TO 50
END IF
*
TIME = ( TIME-UNTIME ) / REAL( IC )
OPS = SOPLA( 'CPTTRF', M, 0, 0, 0, 0 )
RESLTS( 1, IM, 1, 1 ) = SMFLOP( OPS, TIME, INFO )
*
ELSE
IC = 0
DO 70 J = 1, N
D( J ) = 3.0
70 CONTINUE
CALL CLARNV( 2, ISEED, N-1, E )
END IF
*
* Generate another matrix and factor it using CPTTRF so
* that the factored form can be used in timing the other
* routines.
*
IF( IC.NE.1 )
$ CALL CPTTRF( M, D, E, INFO )
*
* Time CPTTRS
*
DO 190 IUPLO = 1, 2
IF( IUPLO.EQ.1 ) THEN
UPLO = 'U'
IOFF = 0
ELSE
UPLO = 'L'
IOFF = 3
END IF
IF( TIMSUB( 2 ) ) THEN
DO 110 ILDA = 1, NLDA
LDB = LDAVAL( ILDA )
DO 100 I = 1, NNS
NRHS = NSVAL( I )
CALL CTIMMG( 0, M, NRHS, B, LDB, 0, 0 )
IC = 0
S1 = SECOND( )
80 CONTINUE
CALL CPTTRS( UPLO, M, NRHS, D, E, B, LDB, INFO )
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
CALL CTIMMG( 0, M, NRHS, B, LDB, 0, 0 )
GO TO 80
END IF
*
* Subtract the time used in STIMMG.
*
ICL = 1
S1 = SECOND( )
90 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
CALL CTIMMG( 0, M, NRHS, B, LDB, 0, 0 )
GO TO 90
END IF
*
TIME = ( TIME-UNTIME ) / REAL( IC )
OPS = SOPLA( 'CPTTRS', M, NRHS, 0, 0, 0 )
RESLTS( I, IM, ILDA, IOFF+2 ) = SMFLOP( OPS, TIME,
$ INFO )
100 CONTINUE
110 CONTINUE
END IF
*
IF( TIMSUB( 3 ) .AND. IUPLO.EQ.1 ) THEN
DO 180 ILDA = 1, NLDA
LDB = LDAVAL( ILDA )
DO 170 I = 1, NNS
NRHS = NSVAL( I )
DO 120 J = 1, N
D( J ) = 3.0
120 CONTINUE
CALL CLARNV( 2, ISEED, N-1, E )
CALL CTIMMG( 0, M, NRHS, B, LDB, 0, 0 )
IC = 0
S1 = SECOND( )
130 CONTINUE
* CALL CPTSV( UPLO, M, NRHS, D, E, B, LDB, INFO )
CALL CPTSV( M, NRHS, D, E, B, LDB, INFO )
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
DO 140 J = 1, N
D( J ) = 3.0
140 CONTINUE
CALL CLARNV( 2, ISEED, N-1, E )
CALL CTIMMG( 0, M, NRHS, B, LDB, 0, 0 )
GO TO 130
END IF
*
* Subtract the time used in CTIMMG.
*
ICL = 1
S1 = SECOND( )
150 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
DO 160 J = 1, N
D( J ) = 3.0
160 CONTINUE
CALL CLARNV( 2, ISEED, N-1, E )
CALL CTIMMG( 0, M, NRHS, B, LDB, 0, 0 )
GO TO 150
END IF
*
TIME = ( TIME-UNTIME ) / REAL( IC )
OPS = SOPLA( 'CPTSV ', M, NRHS, 0, 0, 0 )
RESLTS( I, IM, ILDA, IOFF+3 ) = SMFLOP( OPS, TIME,
$ INFO )
170 CONTINUE
180 CONTINUE
END IF
190 CONTINUE
*
IF( TIMSUB( 4 ) ) THEN
DO 200 J = 1, N
E( J ) = 3.0
200 CONTINUE
CALL CLARNV( 2, ISEED, N-1, E( N+1 ) )
CALL CTIMMG( 0, M, 1, B, N, 0, 0 )
IC = 0
S1 = SECOND( )
210 CONTINUE
CALL CPTSL( M, E, E( N+1 ), B )
S2 = SECOND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
DO 220 J = 1, N
E( J ) = 3.0
220 CONTINUE
CALL CLARNV( 2, ISEED, N-1, E( N+1 ) )
CALL CTIMMG( 0, M, 1, B, N, 0, 0 )
GO TO 210
END IF
*
* Subtract the time used in STIMMG.
*
ICL = 1
S1 = SECOND( )
230 CONTINUE
S2 = SECOND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
DO 240 J = 1, N
E( J ) = 3.0
240 CONTINUE
CALL CLARNV( 2, ISEED, N-1, E( N+1 ) )
CALL CTIMMG( 0, M, 1, B, N, 0, 0 )
GO TO 230
END IF
*
TIME = ( TIME-UNTIME ) / REAL( IC )
OPS = SOPLA( 'CPTSV ', M, 1, 0, 0, 0 )
RESLTS( 1, IM, 1, 4 ) = SMFLOP( OPS, TIME, INFO )
END IF
250 CONTINUE
*
* Print a table of results for each timed routine.
*
DO 270 ISUB = 1, NSUBS
IF( .NOT.TIMSUB( ISUB ) )
$ GO TO 270
WRITE( NOUT, FMT = 9997 )SUBNAM( ISUB )
IF( NLDA.GT.1 .AND. ( TIMSUB( 2 ) .OR. TIMSUB( 3 ) ) ) THEN
DO 260 I = 1, NLDA
WRITE( NOUT, FMT = 9996 )I, LDAVAL( I )
260 CONTINUE
END IF
WRITE( NOUT, FMT = * )
IF( ISUB.EQ.1 ) THEN
CALL SPRTBL( ' ', 'N', 1, LAVAL, NM, MVAL, 1, RESLTS, LDR1,
$ LDR2, NOUT )
ELSE IF( ISUB.EQ.2 ) THEN
WRITE( NOUT, FMT = 9998 )'CPTTRS', 'U'
CALL SPRTBL( 'NRHS', 'N', NNS, NSVAL, NM, MVAL, NLDA,
$ RESLTS( 1, 1, 1, 2 ), LDR1, LDR2, NOUT )
WRITE( NOUT, FMT = 9998 )'CPTTRS', 'L'
CALL SPRTBL( 'NRHS', 'N', NNS, NSVAL, NM, MVAL, NLDA,
$ RESLTS( 1, 1, 1, 5 ), LDR1, LDR2, NOUT )
ELSE IF( ISUB.EQ.3 ) THEN
* WRITE( NOUT, FMT = 126 ) 'CPTSV ', 'U'
CALL SPRTBL( 'NRHS', 'N', NNS, NSVAL, NM, MVAL, NLDA,
$ RESLTS( 1, 1, 1, 3 ), LDR1, LDR2, NOUT )
* WRITE( NOUT, FMT = 126 ) 'CPTSV ', 'L'
* CALL SPRTBL( 'NRHS', 'N', NNS, NSVAL, NM, MVAL, NLDA,
* $ RESLTS( 1, 1, 1, 6 ), LDR1, LDR2, NOUT )
ELSE IF( ISUB.EQ.4 ) THEN
CALL SPRTBL( ' ', 'N', 1, LAVAL, NM, MVAL, 1,
$ RESLTS( 1, 1, 1, 4 ), LDR1, LDR2, NOUT )
END IF
270 CONTINUE
*
280 CONTINUE
9999 FORMAT( 1X, A6, ' timing run not attempted', / )
9998 FORMAT( 1X, A6, ' with UPLO = ''', A1, '''', / )
9997 FORMAT( / ' *** Speed of ', A6, ' in megaflops ***' )
9996 FORMAT( 5X, 'line ', I2, ' with LDA = ', I5 )
RETURN
*
* End of CTIMPT
*
END
|
