446 lines
15 KiB
FortranFixed
446 lines
15 KiB
FortranFixed
SUBROUTINE ZTIMHR( LINE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
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$ NLDA, LDAVAL, TIMMIN, A, TAU, B, WORK, RWORK,
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$ RESLTS, LDR1, LDR2, LDR3, NOUT )
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*
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* -- LAPACK timing routine (version 3.1) --
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* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
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* October 2006
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*
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* .. Scalar Arguments ..
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CHARACTER*80 LINE
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INTEGER LDR1, LDR2, LDR3, NLDA, NM, NN, NNB, NOUT
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DOUBLE PRECISION TIMMIN
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* ..
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* .. Array Arguments ..
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INTEGER LDAVAL( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
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$ NXVAL( * )
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DOUBLE PRECISION RESLTS( LDR1, LDR2, LDR3, * ), RWORK( * )
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COMPLEX*16 A( * ), B( * ), TAU( * ), WORK( * )
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* ..
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*
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* Purpose
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* =======
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*
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* ZTIMHR times the LAPACK routines ZGEHRD, ZUNGHR, and CUNMHR.
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*
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* Arguments
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* =========
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*
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* LINE (input) CHARACTER*80
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* The input line that requested this routine. The first six
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* characters contain either the name of a subroutine or a
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* generic path name. The remaining characters may be used to
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* specify the individual routines to be timed. See ATIMIN for
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* a full description of the format of the input line.
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*
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* NM (input) INTEGER
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* The number of values of M contained in the vector MVAL.
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*
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* MVAL (input) INTEGER array, dimension (NM)
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* The values of the matrix size M.
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*
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* NN (input) INTEGER
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* The number of values of N contained in the vector NVAL.
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*
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* NVAL (input) INTEGER array, dimension (NN)
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* The values of the matrix column dimension N.
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*
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* NNB (input) INTEGER
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* The number of values of NB and NX contained in the
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* vectors NBVAL and NXVAL. The blocking parameters are used
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* in pairs (NB,NX).
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*
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* NBVAL (input) INTEGER array, dimension (NNB)
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* The values of the blocksize NB.
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*
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* NXVAL (input) INTEGER array, dimension (NNB)
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* The values of the crossover point NX.
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*
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* NLDA (input) INTEGER
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* The number of values of LDA contained in the vector LDAVAL.
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*
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* LDAVAL (input) INTEGER array, dimension (NLDA)
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* The values of the leading dimension of the array A.
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*
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* TIMMIN (input) DOUBLE PRECISION
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* The minimum time a subroutine will be timed.
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*
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* A (workspace) COMPLEX*16 array, dimension (LDAMAX*NMAX)
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* where LDAMAX and NMAX are the maximum values of LDA and N.
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*
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* TAU (workspace) COMPLEX*16 array, dimension (min(M,N))
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*
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* B (workspace) COMPLEX*16 array, dimension (LDAMAX*NMAX)
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*
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* WORK (workspace) COMPLEX*16 array, dimension (LDAMAX*NBMAX)
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* where NBMAX is the maximum value of NB.
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*
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* RWORK (workspace) DOUBLE PRECISION array, dimension
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* (min(MMAX,NMAX))
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*
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* RESLTS (workspace) DOUBLE PRECISION array, dimension
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* (LDR1,LDR2,LDR3,4*NN+3)
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* The timing results for each subroutine over the relevant
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* values of M, (NB,NX), LDA, and N.
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*
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* LDR1 (input) INTEGER
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* The first dimension of RESLTS. LDR1 >= max(1,NNB).
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*
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* LDR2 (input) INTEGER
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* The second dimension of RESLTS. LDR2 >= max(1,NM).
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*
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* LDR3 (input) INTEGER
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* The third dimension of RESLTS. LDR3 >= max(1,NLDA).
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*
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* NOUT (input) INTEGER
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* The unit number for output.
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*
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* Internal Parameters
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* ===================
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*
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* MODE INTEGER
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* The matrix type. MODE = 3 is a geometric distribution of
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* eigenvalues. See ZLATMS for further details.
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*
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* COND DOUBLE PRECISION
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* The condition number of the matrix. The singular values are
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* set to values from DMAX to DMAX/COND.
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*
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* DMAX DOUBLE PRECISION
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* The magnitude of the largest singular value.
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*
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* =====================================================================
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*
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* .. Parameters ..
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INTEGER NSUBS
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PARAMETER ( NSUBS = 3 )
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INTEGER MODE
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DOUBLE PRECISION COND, DMAX
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PARAMETER ( MODE = 3, COND = 100.0D0, DMAX = 1.0D0 )
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* ..
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* .. Local Scalars ..
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CHARACTER LAB1, LAB2, SIDE, TRANS
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CHARACTER*3 PATH
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CHARACTER(32) CNAME
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INTEGER I, I4, IC, ICL, IHI, ILDA, ILO, IM, IN, INB,
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$ INFO, ISIDE, ISUB, ITOFF, ITRAN, LDA, LW, M,
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$ M1, N, N1, NB, NX
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DOUBLE PRECISION OPS, S1, S2, TIME, UNTIME
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* ..
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* .. Local Arrays ..
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LOGICAL TIMSUB( NSUBS )
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CHARACTER SIDES( 2 ), TRANSS( 2 )
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CHARACTER(32) SUBNAM( NSUBS )
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INTEGER ISEED( 4 ), RESEED( 4 )
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* ..
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* .. External Functions ..
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INTEGER ILA_LEN_TRIM
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EXTERNAL ILA_LEN_TRIM
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DOUBLE PRECISION DMFLOP, DOPLA, DSECND
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EXTERNAL DMFLOP, DOPLA, DSECND
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* ..
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* .. External Subroutines ..
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EXTERNAL ATIMCK, ATIMIN, DPRTB3, DPRTBL, ICOPY, XLAENV,
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$ ZGEHRD, ZLACPY, ZLATMS, ZTIMMG, ZUNGHR, ZUNMHR
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC DBLE, MAX
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* ..
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* .. Data statements ..
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DATA SUBNAM / 'ZGEHRD', 'ZUNGHR', 'ZUNMHR' /
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DATA SIDES / 'L', 'R' / , TRANSS / 'N', 'C' /
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DATA ISEED / 0, 0, 0, 1 /
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* ..
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* .. Executable Statements ..
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*
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* Extract the timing request from the input line.
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*
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PATH( 1: 1 ) = 'Zomplex precision'
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PATH( 2: 3 ) = 'HR'
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CALL ATIMIN( PATH, LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO )
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IF( INFO.NE.0 )
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$ GO TO 190
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*
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* Check that N <= LDA for the input values.
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*
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CNAME = LINE( 1: 6 )
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CALL ATIMCK( 2, CNAME, NM, MVAL, NLDA, LDAVAL, NOUT, INFO )
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IF( INFO.GT.0 ) THEN
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WRITE( NOUT, FMT = 9999 )CNAME(1:ILA_LEN_TRIM(CNAME))
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GO TO 190
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END IF
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*
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* Check that K <= LDA for ZUNMHR
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*
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IF( TIMSUB( 3 ) ) THEN
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CALL ATIMCK( 3, CNAME, NN, NVAL, NLDA, LDAVAL, NOUT, INFO )
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IF( INFO.GT.0 ) THEN
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WRITE( NOUT, FMT = 9999 )
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$ SUBNAM( 3 )(1:ILA_LEN_TRIM( SUBNAM( 3 ) ))
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TIMSUB( 3 ) = .FALSE.
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END IF
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END IF
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*
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* Do for each value of M:
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*
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DO 120 IM = 1, NM
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M = MVAL( IM )
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ILO = 1
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IHI = M
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CALL ICOPY( 4, ISEED, 1, RESEED, 1 )
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*
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* Do for each value of LDA:
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*
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DO 110 ILDA = 1, NLDA
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LDA = LDAVAL( ILDA )
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*
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* Do for each pair of values (NB, NX) in NBVAL and NXVAL.
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*
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DO 100 INB = 1, NNB
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NB = NBVAL( INB )
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CALL XLAENV( 1, NB )
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NX = NXVAL( INB )
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CALL XLAENV( 3, NX )
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LW = MAX( 1, M*MAX( 1, NB ) )
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*
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* Generate a test matrix of size M by M.
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*
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CALL ICOPY( 4, RESEED, 1, ISEED, 1 )
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CALL ZLATMS( M, M, 'Uniform', ISEED, 'Nonsymm', RWORK,
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$ MODE, COND, DMAX, M, M, 'No packing', B,
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$ LDA, WORK, INFO )
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*
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IF( TIMSUB( 1 ) ) THEN
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*
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* ZGEHRD: Reduction to Hesenberg form
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*
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CALL ZLACPY( 'Full', M, M, B, LDA, A, LDA )
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IC = 0
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S1 = DSECND( )
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10 CONTINUE
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CALL ZGEHRD( M, ILO, IHI, A, LDA, TAU, WORK, LW,
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$ INFO )
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S2 = DSECND( )
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TIME = S2 - S1
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IC = IC + 1
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IF( TIME.LT.TIMMIN ) THEN
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CALL ZLACPY( 'Full', M, M, B, LDA, A, LDA )
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GO TO 10
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END IF
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*
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* Subtract the time used in ZLACPY.
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*
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ICL = 1
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S1 = DSECND( )
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20 CONTINUE
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S2 = DSECND( )
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UNTIME = S2 - S1
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ICL = ICL + 1
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IF( ICL.LE.IC ) THEN
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CALL ZLACPY( 'Full', M, M, A, LDA, B, LDA )
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GO TO 20
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END IF
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*
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TIME = ( TIME-UNTIME ) / DBLE( IC )
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OPS = DOPLA( 'ZGEHRD', M, ILO, IHI, 0, NB )
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RESLTS( INB, IM, ILDA, 1 ) = DMFLOP( OPS, TIME, INFO )
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ELSE
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*
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* If ZGEHRD was not timed, generate a matrix and factor
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* it using ZGEHRD anyway so that the factored form of
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* the matrix can be used in timing the other routines.
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*
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CALL ZLACPY( 'Full', M, M, B, LDA, A, LDA )
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CALL ZGEHRD( M, ILO, IHI, A, LDA, TAU, WORK, LW,
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$ INFO )
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END IF
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*
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IF( TIMSUB( 2 ) ) THEN
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*
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* ZUNGHR: Generate the orthogonal matrix Q from the
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* reduction to Hessenberg form A = Q*H*Q'
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*
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CALL ZLACPY( 'Full', M, M, A, LDA, B, LDA )
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IC = 0
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S1 = DSECND( )
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30 CONTINUE
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CALL ZUNGHR( M, ILO, IHI, B, LDA, TAU, WORK, LW,
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$ INFO )
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S2 = DSECND( )
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TIME = S2 - S1
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IC = IC + 1
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IF( TIME.LT.TIMMIN ) THEN
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CALL ZLACPY( 'Full', M, M, A, LDA, B, LDA )
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GO TO 30
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END IF
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*
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* Subtract the time used in ZLACPY.
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*
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ICL = 1
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S1 = DSECND( )
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40 CONTINUE
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S2 = DSECND( )
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UNTIME = S2 - S1
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ICL = ICL + 1
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IF( ICL.LE.IC ) THEN
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CALL ZLACPY( 'Full', M, M, A, LDA, B, LDA )
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GO TO 40
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END IF
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*
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TIME = ( TIME-UNTIME ) / DBLE( IC )
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*
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* Op count for ZUNGHR: same as
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* ZUNGQR( IHI-ILO, IHI-ILO, IHI-ILO, ... )
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*
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OPS = DOPLA( 'ZUNGQR', IHI-ILO, IHI-ILO, IHI-ILO, 0,
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$ NB )
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RESLTS( INB, IM, ILDA, 2 ) = DMFLOP( OPS, TIME, INFO )
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END IF
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*
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IF( TIMSUB( 3 ) ) THEN
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*
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* ZUNMHR: Multiply by Q stored as a product of
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* elementary transformations
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*
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I4 = 2
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DO 90 ISIDE = 1, 2
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SIDE = SIDES( ISIDE )
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DO 80 IN = 1, NN
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N = NVAL( IN )
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LW = MAX( 1, MAX( 1, NB )*N )
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IF( ISIDE.EQ.1 ) THEN
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M1 = M
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N1 = N
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ELSE
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M1 = N
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N1 = M
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END IF
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ITOFF = 0
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DO 70 ITRAN = 1, 2
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TRANS = TRANSS( ITRAN )
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CALL ZTIMMG( 0, M1, N1, B, LDA, 0, 0 )
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IC = 0
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S1 = DSECND( )
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50 CONTINUE
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CALL ZUNMHR( SIDE, TRANS, M1, N1, ILO, IHI,
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$ A, LDA, TAU, B, LDA, WORK, LW,
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$ INFO )
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S2 = DSECND( )
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TIME = S2 - S1
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IC = IC + 1
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IF( TIME.LT.TIMMIN ) THEN
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CALL ZTIMMG( 0, M1, N1, B, LDA, 0, 0 )
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GO TO 50
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END IF
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*
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* Subtract the time used in ZTIMMG.
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*
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ICL = 1
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S1 = DSECND( )
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60 CONTINUE
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S2 = DSECND( )
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UNTIME = S2 - S1
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ICL = ICL + 1
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IF( ICL.LE.IC ) THEN
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CALL ZTIMMG( 0, M1, N1, B, LDA, 0, 0 )
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GO TO 60
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END IF
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*
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TIME = ( TIME-UNTIME ) / DBLE( IC )
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*
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* Op count for ZUNMHR, SIDE='L': same as
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* ZUNMQR( 'L', TRANS, IHI-ILO, N, IHI-ILO, ...)
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*
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* Op count for ZUNMHR, SIDE='R': same as
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* ZUNMQR( 'R', TRANS, M, IHI-ILO, IHI-ILO, ...)
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*
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IF( ISIDE.EQ.1 ) THEN
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OPS = DOPLA( 'ZUNMQR', IHI-ILO, N1,
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$ IHI-ILO, -1, NB )
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ELSE
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OPS = DOPLA( 'ZUNMQR', M1, IHI-ILO,
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$ IHI-ILO, 1, NB )
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END IF
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*
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RESLTS( INB, IM, ILDA,
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$ I4+ITOFF+IN ) = DMFLOP( OPS, TIME, INFO )
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ITOFF = NN
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70 CONTINUE
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80 CONTINUE
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I4 = I4 + 2*NN
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90 CONTINUE
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END IF
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*
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100 CONTINUE
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110 CONTINUE
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120 CONTINUE
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*
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* Print tables of results for ZGEHRD and ZUNGHR
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*
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DO 140 ISUB = 1, NSUBS - 1
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IF( .NOT.TIMSUB( ISUB ) )
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$ GO TO 140
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WRITE( NOUT, FMT = 9998 )
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$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) ))
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IF( NLDA.GT.1 ) THEN
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DO 130 I = 1, NLDA
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WRITE( NOUT, FMT = 9997 )I, LDAVAL( I )
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130 CONTINUE
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END IF
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WRITE( NOUT, FMT = 9995 )
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CALL DPRTB3( '( NB, NX)', 'N', NNB, NBVAL, NXVAL, NM, MVAL,
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$ NLDA, RESLTS( 1, 1, 1, ISUB ), LDR1, LDR2, NOUT )
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140 CONTINUE
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*
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* Print tables of results for ZUNMHR
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*
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ISUB = 3
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IF( TIMSUB( ISUB ) ) THEN
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I4 = 2
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DO 180 ISIDE = 1, 2
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IF( ISIDE.EQ.1 ) THEN
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LAB1 = 'M'
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LAB2 = 'N'
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IF( NLDA.GT.1 ) THEN
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WRITE( NOUT, FMT = 9998 )
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$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) ))
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DO 150 I = 1, NLDA
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WRITE( NOUT, FMT = 9997 )I, LDAVAL( I )
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150 CONTINUE
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WRITE( NOUT, FMT = 9994 )
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END IF
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ELSE
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LAB1 = 'N'
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LAB2 = 'M'
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END IF
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DO 170 ITRAN = 1, 2
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DO 160 IN = 1, NN
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WRITE( NOUT, FMT = 9996 )
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$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) )),
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$ SIDES( ISIDE ), TRANSS( ITRAN ), LAB2, NVAL( IN )
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CALL DPRTBL( 'NB', LAB1, NNB, NBVAL, NM, MVAL, NLDA,
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$ RESLTS( 1, 1, 1, I4+IN ), LDR1, LDR2,
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$ NOUT )
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160 CONTINUE
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I4 = I4 + NN
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170 CONTINUE
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180 CONTINUE
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END IF
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190 CONTINUE
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*
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* Print a table of results for each timed routine.
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*
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RETURN
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9999 FORMAT( 1X, A, ' timing run not attempted', / )
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9998 FORMAT( / ' *** Speed of ', A, ' in megaflops *** ' )
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9997 FORMAT( 5X, 'line ', I2, ' with LDA = ', I5 )
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9996 FORMAT( / 5X, A, ' with SIDE = ''', A1, ''', TRANS = ''', A1,
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$ ''', ', A1, ' =', I6, / )
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9995 FORMAT( / 5X, 'ILO = 1, IHI = N', / )
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9994 FORMAT( / 5X, 'ILO = 1, IHI = M if SIDE = ''L''', / 5X,
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$ ' = N if SIDE = ''R''' )
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*
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* End of ZTIMHR
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*
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END
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