SUBROUTINE DTIMPP( LINE, NN, NVAL, NNS, NSVAL, LA, TIMMIN, A, B, $ 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 A( * ), B( * ), RESLTS( LDR1, LDR2, LDR3, * ) * .. * * Purpose * ======= * * DTIMPP times DPPTRF, -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) DOUBLE PRECISION array, dimension (LA) * * B (workspace) DOUBLE PRECISION array, dimension (LA) * * 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, DCOPY, DPPTRF, DPPTRI, DPPTRS, $ DPRTBL, DTIMMG * .. * .. Intrinsic Functions .. INTRINSIC DBLE, MOD * .. * .. Data statements .. DATA UPLOS / 'U', 'L' / DATA SUBNAM / 'DPPTRF', 'DPPTRS', 'DPPTRI' / * .. * .. Executable Statements .. * * Extract the timing request from the input line. * PATH( 1: 1 ) = 'Double precision' PATH( 2: 3 ) = 'PP' 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 = 4 ELSE MAT = -4 END IF * * Do for each value of N in NVAL. * DO 80 IN = 1, NN N = NVAL( IN ) LDA = N*( N+1 ) / 2 * * Time DPPTRF * IF( TIMSUB( 1 ) ) THEN CALL DTIMMG( MAT, N, N, A, LDA, 0, 0 ) IC = 0 S1 = DSECND( ) 10 CONTINUE CALL DPPTRF( UPLO, N, A, INFO ) S2 = DSECND( ) TIME = S2 - S1 IC = IC + 1 IF( TIME.LT.TIMMIN ) THEN CALL DTIMMG( MAT, N, N, A, LDA, 0, 0 ) GO TO 10 END IF * * Subtract the time used in DTIMMG. * ICL = 1 S1 = DSECND( ) 20 CONTINUE S2 = DSECND( ) UNTIME = S2 - S1 ICL = ICL + 1 IF( ICL.LE.IC ) THEN CALL DTIMMG( MAT, N, N, A, LDA, 0, 0 ) GO TO 20 END IF * TIME = ( TIME-UNTIME ) / DBLE( IC ) OPS = DOPLA( 'DPPTRF', N, N, 0, 0, 0 ) RESLTS( 1, IN, IUPLO, 1 ) = DMFLOP( OPS, TIME, INFO ) * ELSE IC = 0 CALL DTIMMG( MAT, N, N, A, LDA, 0, 0 ) END IF * * Generate another matrix and factor it using DPPTRF so * that the factored form can be used in timing the other * routines. * IF( IC.NE.1 ) $ CALL DPPTRF( UPLO, N, A, INFO ) * * Time DPPTRI * IF( TIMSUB( 3 ) ) THEN CALL DCOPY( LDA, A, 1, B, 1 ) IC = 0 S1 = DSECND( ) 30 CONTINUE CALL DPPTRI( UPLO, N, B, INFO ) S2 = DSECND( ) TIME = S2 - S1 IC = IC + 1 IF( TIME.LT.TIMMIN ) THEN CALL DCOPY( LDA, A, 1, B, 1 ) GO TO 30 END IF * * Subtract the time used in DLACPY. * ICL = 1 S1 = DSECND( ) 40 CONTINUE S2 = DSECND( ) UNTIME = S2 - S1 ICL = ICL + 1 IF( ICL.LE.IC ) THEN CALL DCOPY( LDA, A, 1, B, 1 ) GO TO 40 END IF * TIME = ( TIME-UNTIME ) / DBLE( IC ) OPS = DOPLA( 'DPPTRI', N, N, 0, 0, 0 ) RESLTS( 1, IN, IUPLO, 3 ) = DMFLOP( OPS, TIME, INFO ) END IF * * Time DPPTRS * IF( TIMSUB( 2 ) ) THEN DO 70 I = 1, NNS NRHS = NSVAL( I ) LDB = N IF( MOD( LDB, 2 ).EQ.0 ) $ LDB = LDB + 1 CALL DTIMMG( 0, N, NRHS, B, LDB, 0, 0 ) IC = 0 S1 = DSECND( ) 50 CONTINUE CALL DPPTRS( UPLO, N, NRHS, A, B, LDB, INFO ) S2 = DSECND( ) TIME = S2 - S1 IC = IC + 1 IF( TIME.LT.TIMMIN ) THEN CALL DTIMMG( 0, N, NRHS, B, LDB, 0, 0 ) GO TO 50 END IF * * Subtract the time used in DTIMMG. * ICL = 1 S1 = DSECND( ) 60 CONTINUE S2 = DSECND( ) UNTIME = S2 - S1 ICL = ICL + 1 IF( ICL.LE.IC ) THEN CALL DTIMMG( 0, N, NRHS, B, LDB, 0, 0 ) GO TO 60 END IF * TIME = ( TIME-UNTIME ) / DBLE( IC ) OPS = DOPLA( 'DPPTRS', 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 DTIMPP * END