SUBROUTINE ZTIMQP( LINE, NM, MVAL, NVAL, NLDA, LDAVAL, TIMMIN, A, $ COPYA, TAU, WORK, RWORK, IWORK, RESLTS, LDR1, $ LDR2, NOUT ) * * -- LAPACK timing routine (version 3.0) -- * Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., * Courant Institute, Argonne National Lab, and Rice University * June 30, 1999 * * .. Scalar Arguments .. CHARACTER*80 LINE INTEGER LDR1, LDR2, NLDA, NM, NOUT DOUBLE PRECISION TIMMIN * .. * .. Array Arguments .. INTEGER IWORK( * ), LDAVAL( * ), MVAL( * ), NVAL( * ) DOUBLE PRECISION RESLTS( LDR1, LDR2, * ), RWORK( * ) COMPLEX*16 A( * ), COPYA( * ), TAU( * ), WORK( * ) * .. * * Purpose * ======= * * ZTIMQP times the LAPACK routines to perform the QR factorization with * column pivoting of a COMPLEX*16 general matrix. * * Two matrix types may be used for timing. The number of types is * set in the parameter NMODE and the matrix types are set in the vector * MODES, using the following key: * 2. BREAK1 D(1:N-1)=1 and D(N)=1.0/COND in ZLATMS * 3. GEOM D(I)=COND**(-(I-1)/(N-1)) in ZLATMS * These numbers are chosen to correspond with the matrix types in the * test code. * * 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 and N contained in the vectors * MVAL and NVAL. The matrix sizes are used in pairs (M,N). * * MVAL (input) INTEGER array, dimension (NM) * The values of the matrix row dimension M. * * NVAL (input) INTEGER array, dimension (NM) * The values of the matrix column dimension N. * * 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 of LDA and N. * * COPYA (workspace) COMPLEX*16 array, dimension (LDAMAX*NMAX) * * TAU (workspace) COMPLEX*16 array, dimension (min(M,N)) * * WORK (workspace) COMPLEX*16 array, dimension (3*max(MMAX,NMAX)) * * RWORK (workspace) DOUBLE PRECISION array, dimension (2*NMAX) * * IWORK (workspace) INTEGER array, dimension (2*NMAX) * * RESLTS (workspace) DOUBLE PRECISION array, dimension * (LDR1,LDR2,NLDA) * The timing results for each subroutine over the relevant * values of MODE, (M,N), and LDA. * * LDR1 (input) INTEGER * The first dimension of RESLTS. LDR1 >= max(1,NM). * * LDR2 (input) INTEGER * The second dimension of RESLTS. LDR2 >= max(1,NM). * * NOUT (input) INTEGER * The unit number for output. * * ===================================================================== * * .. Parameters .. INTEGER NSUBS, NMODE PARAMETER ( NSUBS = 1, NMODE = 2 ) DOUBLE PRECISION ONE PARAMETER ( ONE = 1.0D+0 ) * .. * .. Local Scalars .. CHARACTER*3 PATH CHARACTER*6 CNAME INTEGER I, IC, ICL, ILDA, IM, IMODE, INFO, LDA, M, $ MINMN, MODE, N DOUBLE PRECISION COND, DMAX, OPS, S1, S2, TIME, UNTIME * .. * .. Local Arrays .. LOGICAL TIMSUB( NSUBS ) CHARACTER*6 SUBNAM( NSUBS ) INTEGER ISEED( 4 ), MODES( NMODE ) * .. * .. External Functions .. DOUBLE PRECISION DLAMCH, DMFLOP, DOPLA, DSECND EXTERNAL DLAMCH, DMFLOP, DOPLA, DSECND * .. * .. External Subroutines .. EXTERNAL ATIMCK, ATIMIN, DPRTB5, ICOPY, ZGEQPF, ZLACPY, $ ZLATMS * .. * .. Intrinsic Functions .. INTRINSIC DBLE, MIN * .. * .. Data statements .. DATA SUBNAM / 'ZGEQPF' / DATA MODES / 2, 3 / DATA ISEED / 0, 0, 0, 1 / * .. * .. Executable Statements .. * * Extract the timing request from the input line. * PATH( 1: 1 ) = 'Zomplex precision' PATH( 2: 3 ) = 'QP' CALL ATIMIN( PATH, LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO ) IF( .NOT.TIMSUB( 1 ) .OR. INFO.NE.0 ) $ GO TO 80 * * Check that M <= LDA for the input values. * CNAME = LINE( 1: 6 ) CALL ATIMCK( 1, CNAME, NM, MVAL, NLDA, LDAVAL, NOUT, INFO ) IF( INFO.GT.0 ) THEN WRITE( NOUT, FMT = 9999 )CNAME GO TO 80 END IF * * Set the condition number and scaling factor for the matrices * to be generated. * DMAX = ONE COND = ONE / DLAMCH( 'Precision' ) * * Do for each pair of values (M,N): * DO 60 IM = 1, NM M = MVAL( IM ) N = NVAL( IM ) MINMN = MIN( M, N ) * * Do for each value of LDA: * DO 50 ILDA = 1, NLDA LDA = LDAVAL( ILDA ) DO 40 IMODE = 1, NMODE MODE = MODES( IMODE ) * * Generate a test matrix of size m by n using the * singular value distribution indicated by MODE. * DO 10 I = 1, N IWORK( N+I ) = 0 10 CONTINUE CALL ZLATMS( M, N, 'Uniform', ISEED, 'Nonsymm', RWORK, $ MODE, COND, DMAX, M, N, 'No packing', COPYA, $ LDA, WORK, INFO ) * * ZGEQPF: QR factorization with column pivoting * CALL ZLACPY( 'All', M, N, COPYA, LDA, A, LDA ) CALL ICOPY( N, IWORK( N+1 ), 1, IWORK, 1 ) IC = 0 S1 = DSECND( ) 20 CONTINUE CALL ZGEQPF( M, N, A, LDA, IWORK, TAU, WORK, RWORK, $ INFO ) S2 = DSECND( ) TIME = S2 - S1 IC = IC + 1 IF( TIME.LT.TIMMIN ) THEN CALL ZLACPY( 'All', M, N, COPYA, LDA, A, LDA ) CALL ICOPY( N, IWORK( N+1 ), 1, IWORK, 1 ) GO TO 20 END IF * * Subtract the time used in ZLACPY and ICOPY. * ICL = 1 S1 = DSECND( ) 30 CONTINUE S2 = DSECND( ) UNTIME = S2 - S1 ICL = ICL + 1 IF( ICL.LE.IC ) THEN CALL ZLACPY( 'All', M, N, COPYA, LDA, A, LDA ) CALL ICOPY( N, IWORK( N+1 ), 1, IWORK, 1 ) GO TO 30 END IF * TIME = ( TIME-UNTIME ) / DBLE( IC ) OPS = DOPLA( 'ZGEQPF', M, N, 0, 0, 1 ) RESLTS( IMODE, IM, ILDA ) = DMFLOP( OPS, TIME, INFO ) * 40 CONTINUE 50 CONTINUE 60 CONTINUE * * Print tables of results * WRITE( NOUT, FMT = 9998 )SUBNAM( 1 ) IF( NLDA.GT.1 ) THEN DO 70 I = 1, NLDA WRITE( NOUT, FMT = 9997 )I, LDAVAL( I ) 70 CONTINUE END IF WRITE( NOUT, FMT = * ) CALL DPRTB5( 'Type', 'M', 'N', NMODE, MODES, NM, MVAL, NVAL, NLDA, $ RESLTS, LDR1, LDR2, NOUT ) 80 CONTINUE 9999 FORMAT( 1X, A6, ' timing run not attempted', / ) 9998 FORMAT( / ' *** Speed of ', A6, ' in megaflops ***' ) 9997 FORMAT( 5X, 'line ', I2, ' with LDA = ', I5 ) RETURN * * End of ZTIMQP * END