SUBROUTINE STIMGT( LINE, NM, MVAL, NNS, NSVAL, NLDA, LDAVAL, $ 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 LDR1, LDR2, LDR3, NLDA, NM, NNS, NOUT REAL TIMMIN * .. * .. Array Arguments .. INTEGER IWORK( * ), LDAVAL( * ), MVAL( * ), NSVAL( * ) REAL A( * ), B( * ), RESLTS( LDR1, LDR2, LDR3, * ) * .. * * Purpose * ======= * * STIMGT times SGTTRF, -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. * * A (workspace) REAL array, dimension (NMAX*4) * where NMAX is the maximum value permitted for N. * * B (workspace) REAL array, dimension (LDAMAX*NMAX) * * IWORK (workspace) INTEGER array, dimension (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 TRANS CHARACTER*3 PATH CHARACTER*6 CNAME INTEGER I, IC, ICL, ILDA, IM, INFO, ISUB, ITRAN, LDB, $ M, N, NRHS REAL OPS, S1, S2, TIME, UNTIME * .. * .. Local Arrays .. LOGICAL TIMSUB( NSUBS ) CHARACTER TRANSS( 2 ) CHARACTER*6 SUBNAM( NSUBS ) INTEGER LAVAL( 1 ) * .. * .. External Functions .. REAL SECOND, SMFLOP, SOPGB EXTERNAL SECOND, SMFLOP, SOPGB * .. * .. External Subroutines .. EXTERNAL ATIMCK, ATIMIN, SGTSL, SGTSV, SGTTRF, SGTTRS, $ SPRTBL, STIMMG * .. * .. Intrinsic Functions .. INTRINSIC MAX, REAL * .. * .. Data statements .. DATA SUBNAM / 'SGTTRF', 'SGTTRS', 'SGTSV ', $ 'SGTSL ' / DATA TRANSS / 'N', 'T' / * .. * .. Executable Statements .. * * Extract the timing request from the input line. * PATH( 1: 1 ) = 'Single precision' PATH( 2: 3 ) = 'GT' CALL ATIMIN( PATH, LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO ) IF( INFO.NE.0 ) $ GO TO 180 * * 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 = 9998 )CNAME TIMSUB( ISUB ) = .FALSE. END IF 10 CONTINUE * * Do for each value of M: * DO 150 IM = 1, NM * M = MVAL( IM ) N = MAX( M, 1 ) * * Time SGTTRF * IF( TIMSUB( 1 ) ) THEN CALL STIMMG( 12, M, M, A, 3*N, 0, 0 ) IC = 0 S1 = SECOND( ) 20 CONTINUE CALL SGTTRF( M, A, A( N ), A( 2*N ), A( 3*N-2 ), IWORK, $ INFO ) S2 = SECOND( ) TIME = S2 - S1 IC = IC + 1 IF( TIME.LT.TIMMIN ) THEN CALL STIMMG( 12, M, M, A, 3*N, 0, 0 ) GO TO 20 END IF * * Subtract the time used in STIMMG. * ICL = 1 S1 = SECOND( ) 30 CONTINUE S2 = SECOND( ) UNTIME = S2 - S1 ICL = ICL + 1 IF( ICL.LE.IC ) THEN CALL STIMMG( 12, M, M, A, 3*N, 0, 0 ) GO TO 30 END IF * TIME = ( TIME-UNTIME ) / REAL( IC ) OPS = SOPGB( 'SGTTRF', M, M, 1, 1, IWORK ) RESLTS( 1, IM, 1, 1 ) = SMFLOP( OPS, TIME, INFO ) * ELSE IF( TIMSUB( 2 ) ) THEN CALL STIMMG( 12, M, M, A, 3*N, 0, 0 ) END IF * * Generate another matrix and factor it using SGTTRF so * that the factored form can be used in timing the other * routines. * IF( IC.NE.1 ) $ CALL SGTTRF( M, A, A( N ), A( 2*N ), A( 3*N-2 ), IWORK, $ INFO ) * * Time SGTTRS * IF( TIMSUB( 2 ) ) THEN DO 80 ITRAN = 1, 2 TRANS = TRANSS( ITRAN ) DO 70 ILDA = 1, NLDA LDB = LDAVAL( ILDA ) DO 60 I = 1, NNS NRHS = NSVAL( I ) CALL STIMMG( 0, M, NRHS, B, LDB, 0, 0 ) IC = 0 S1 = SECOND( ) 40 CONTINUE CALL SGTTRS( TRANS, M, NRHS, A, A( N ), A( 2*N ), $ A( 3*N-2 ), IWORK, B, LDB, INFO ) S2 = SECOND( ) TIME = S2 - S1 IC = IC + 1 IF( TIME.LT.TIMMIN ) THEN CALL STIMMG( 0, M, NRHS, B, LDB, 0, 0 ) GO TO 40 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 CALL STIMMG( 0, M, NRHS, B, LDB, 0, 0 ) GO TO 50 END IF * TIME = ( TIME-UNTIME ) / REAL( IC ) OPS = SOPGB( 'SGTTRS', M, NRHS, 0, 0, IWORK ) IF( ITRAN.EQ.1 ) THEN RESLTS( I, IM, ILDA, 2 ) = SMFLOP( OPS, TIME, $ INFO ) ELSE RESLTS( I, IM, ILDA, 5 ) = SMFLOP( OPS, TIME, $ INFO ) END IF 60 CONTINUE 70 CONTINUE 80 CONTINUE END IF * IF( TIMSUB( 3 ) ) THEN DO 120 ILDA = 1, NLDA LDB = LDAVAL( ILDA ) DO 110 I = 1, NNS NRHS = NSVAL( I ) CALL STIMMG( 12, M, M, A, 3*N, 0, 0 ) CALL STIMMG( 0, M, NRHS, B, LDB, 0, 0 ) IC = 0 S1 = SECOND( ) 90 CONTINUE CALL SGTSV( M, NRHS, A, A( N ), A( 2*N ), B, LDB, $ INFO ) S2 = SECOND( ) TIME = S2 - S1 IC = IC + 1 IF( TIME.LT.TIMMIN ) THEN CALL STIMMG( 12, M, M, A, 3*N, 0, 0 ) CALL STIMMG( 0, M, NRHS, B, LDB, 0, 0 ) GO TO 90 END IF * * Subtract the time used in STIMMG. * ICL = 1 S1 = SECOND( ) 100 CONTINUE S2 = SECOND( ) UNTIME = S2 - S1 ICL = ICL + 1 IF( ICL.LE.IC ) THEN CALL STIMMG( 12, M, M, A, 3*N, 0, 0 ) CALL STIMMG( 0, M, NRHS, B, LDB, 0, 0 ) GO TO 100 END IF * TIME = ( TIME-UNTIME ) / REAL( IC ) OPS = SOPGB( 'SGTSV ', M, NRHS, 0, 0, IWORK ) RESLTS( I, IM, ILDA, 3 ) = SMFLOP( OPS, TIME, INFO ) 110 CONTINUE 120 CONTINUE END IF * IF( TIMSUB( 4 ) ) THEN CALL STIMMG( 12, M, M, A, 3*N, 0, 0 ) CALL STIMMG( 0, M, 1, B, N, 0, 0 ) IC = 0 S1 = SECOND( ) 130 CONTINUE CALL SGTSL( M, A, A( N ), A( 2*N ), B, INFO ) S2 = SECOND( ) TIME = S2 - S1 IC = IC + 1 IF( TIME.LT.TIMMIN ) THEN CALL STIMMG( 12, M, M, A, 3*N, 0, 0 ) CALL STIMMG( 0, M, 1, B, LDB, 0, 0 ) GO TO 130 END IF * * Subtract the time used in STIMMG. * ICL = 1 S1 = SECOND( ) 140 CONTINUE S2 = SECOND( ) UNTIME = S2 - S1 ICL = ICL + 1 IF( ICL.LE.IC ) THEN CALL STIMMG( 12, M, M, A, 3*N, 0, 0 ) CALL STIMMG( 0, M, 1, B, LDB, 0, 0 ) GO TO 140 END IF * TIME = ( TIME-UNTIME ) / REAL( IC ) OPS = SOPGB( 'SGTSV ', M, 1, 0, 0, IWORK ) RESLTS( 1, IM, 1, 4 ) = SMFLOP( OPS, TIME, INFO ) END IF 150 CONTINUE * * Print a table of results for each timed routine. * DO 170 ISUB = 1, NSUBS IF( .NOT.TIMSUB( ISUB ) ) $ GO TO 170 WRITE( NOUT, FMT = 9997 )SUBNAM( ISUB ) IF( NLDA.GT.1 .AND. ( TIMSUB( 2 ) .OR. TIMSUB( 3 ) ) ) THEN DO 160 I = 1, NLDA WRITE( NOUT, FMT = 9996 )I, LDAVAL( I ) 160 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 = 9999 )'N' 9999 FORMAT( ' SGTTRS with TRANS = ''', A1, '''', / ) CALL SPRTBL( 'NRHS', 'N', NNS, NSVAL, NM, MVAL, NLDA, $ RESLTS( 1, 1, 1, 2 ), LDR1, LDR2, NOUT ) WRITE( NOUT, FMT = 9999 )'T' CALL SPRTBL( 'NRHS', 'N', NNS, NSVAL, NM, MVAL, NLDA, $ RESLTS( 1, 1, 1, 5 ), LDR1, LDR2, NOUT ) ELSE IF( ISUB.EQ.3 ) THEN CALL SPRTBL( 'NRHS', 'N', NNS, NSVAL, NM, MVAL, NLDA, $ RESLTS( 1, 1, 1, 3 ), 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 170 CONTINUE * 180 CONTINUE 9998 FORMAT( 1X, A6, ' timing run not attempted', / ) 9997 FORMAT( / ' *** Speed of ', A6, ' in megaflops ***' ) 9996 FORMAT( 5X, 'line ', I2, ' with LDA = ', I5 ) RETURN * * End of STIMGT * END