SUBROUTINE ZTIMTR( LINE, NN, NVAL, NNS, NSVAL, NNB, NBVAL, NLDA, $ LDAVAL, TIMMIN, A, 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, NN, NNB, NNS, NOUT DOUBLE PRECISION TIMMIN * .. * .. Array Arguments .. INTEGER LDAVAL( * ), NBVAL( * ), NSVAL( * ), NVAL( * ) DOUBLE PRECISION RESLTS( LDR1, LDR2, LDR3, * ) COMPLEX*16 A( * ), B( * ) * .. * * Purpose * ======= * * ZTIMTR times ZTRTRI and -TRS. * * 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) COMPLEX*16 array, dimension (LDAMAX*NMAX) * where LDAMAX and NMAX are the maximum values permitted * for LDA and N. * * B (workspace) COMPLEX*16 array, dimension (LDAMAX*NMAX) * * 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(1,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 = 2 ) * .. * .. Local Scalars .. CHARACTER UPLO CHARACTER*3 PATH CHARACTER*6 CNAME INTEGER I, I3, IC, ICL, ILDA, IN, INB, INFO, ISUB, $ IUPLO, LDA, LDB, MAT, N, NB, NRHS DOUBLE PRECISION OPS, S1, S2, TIME, UNTIME * .. * .. Local Arrays .. LOGICAL TIMSUB( NSUBS ) CHARACTER UPLOS( 2 ) CHARACTER*6 SUBNAM( NSUBS ) * .. * .. External Functions .. LOGICAL LSAME DOUBLE PRECISION DMFLOP, DOPLA, DSECND EXTERNAL LSAME, DMFLOP, DOPLA, DSECND * .. * .. External Subroutines .. EXTERNAL ATIMCK, ATIMIN, DPRTBL, XLAENV, ZTIMMG, ZTRTRI, $ ZTRTRS * .. * .. Intrinsic Functions .. INTRINSIC DBLE * .. * .. Data statements .. DATA SUBNAM / 'ZTRTRI', 'ZTRTRS' / DATA UPLOS / 'U', 'L' / * .. * .. Executable Statements .. * * Extract the timing request from the input line. * PATH( 1: 1 ) = 'Zomplex precision' PATH( 2: 3 ) = 'TR' CALL ATIMIN( PATH, LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO ) IF( INFO.NE.0 ) $ GO TO 130 * * 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 GO TO 130 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 = 11 ELSE MAT = -11 END IF * * Do for each value of N: * DO 80 IN = 1, NN N = NVAL( IN ) * * Do for each value of LDA: * DO 70 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 ) * * Time ZTRTRI * CALL ZTIMMG( MAT, N, N, A, LDA, 0, 0 ) IC = 0 S1 = DSECND( ) 10 CONTINUE CALL ZTRTRI( UPLO, 'Non-unit', N, A, LDA, 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( 'ZTRTRI', N, N, 0, 0, NB ) RESLTS( INB, IN, I3, 1 ) = DMFLOP( OPS, TIME, $ INFO ) 30 CONTINUE ELSE * * Generate a triangular matrix A. * CALL ZTIMMG( MAT, N, N, A, LDA, 0, 0 ) END IF * * Time ZTRTRS * IF( TIMSUB( 2 ) ) THEN DO 60 I = 1, NNS NRHS = NSVAL( I ) LDB = LDA CALL ZTIMMG( 0, N, NRHS, B, LDB, 0, 0 ) IC = 0 S1 = DSECND( ) 40 CONTINUE CALL ZTRTRS( UPLO, 'No transpose', 'Non-unit', N, $ NRHS, A, LDA, 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 40 END IF * * Subtract the time used in ZTIMMG. * ICL = 1 S1 = DSECND( ) 50 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 50 END IF * TIME = ( TIME-UNTIME ) / DBLE( IC ) OPS = DOPLA( 'ZTRTRS', N, NRHS, 0, 0, 0 ) RESLTS( I, IN, I3, 2 ) = DMFLOP( OPS, TIME, INFO ) 60 CONTINUE END IF 70 CONTINUE 80 CONTINUE 90 CONTINUE * * Print a table of results. * DO 120 ISUB = 1, NSUBS IF( .NOT.TIMSUB( ISUB ) ) $ GO TO 120 WRITE( NOUT, FMT = 9998 )SUBNAM( ISUB ) IF( NLDA.GT.1 ) THEN DO 100 I = 1, NLDA WRITE( NOUT, FMT = 9997 )I, LDAVAL( I ) 100 CONTINUE END IF WRITE( NOUT, FMT = * ) DO 110 IUPLO = 1, 2 WRITE( NOUT, FMT = 9996 )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 ) END IF 110 CONTINUE 120 CONTINUE * 130 CONTINUE 9999 FORMAT( 1X, A6, ' timing run not attempted', / ) 9998 FORMAT( / ' *** Speed of ', A6, ' in megaflops ***' ) 9997 FORMAT( 5X, 'line ', I2, ' with LDA = ', I5 ) 9996 FORMAT( 5X, A6, ' with UPLO = ''', A1, '''', / ) RETURN * * End of ZTIMTR * END