297 lines
9.4 KiB
FortranFixed
297 lines
9.4 KiB
FortranFixed
SUBROUTINE CTIMQ3( LINE, NM, MVAL, NVAL, NNB, NBVAL, NXVAL, NLDA,
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$ LDAVAL, TIMMIN, A, COPYA, TAU, WORK, RWORK,
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$ IWORK, RESLTS, LDR1, LDR2, 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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* Rewritten for timing qp3 code.
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*
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* .. Scalar Arguments ..
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CHARACTER*80 LINE
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INTEGER LDR1, LDR2, NLDA, NM, NNB, NOUT
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REAL TIMMIN
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* ..
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* .. Array Arguments ..
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INTEGER IWORK( * ), LDAVAL( * ), MVAL( * ), NBVAL( * ),
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$ NVAL( * ), NXVAL( * )
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REAL RESLTS( LDR1, LDR2, * ), RWORK( * )
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COMPLEX A( * ), COPYA( * ), 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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* CTIMQ3 times the Rank-Revealing QR factorization of a
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* COMPLEX general matrix.
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*
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* Two matrix types may be used for timing. The number of types is
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* set in the parameter NMODE and the matrix types are set in the vector
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* MODES, using the following key:
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* 2. BREAK1 D(1:N-1)=1 and D(N)=1.0/COND in CLATMS
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* 3. GEOM D(I)=COND**(-(I-1)/(N-1)) in CLATMS
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* These numbers are chosen to correspond with the matrix types in the
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* test code.
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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 and N contained in the vectors
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* MVAL and NVAL. The matrix sizes are used in pairs (M,N).
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*
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* MVAL (input) INTEGER array, dimension (NM)
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* The values of the matrix row dimension M.
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*
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* NVAL (input) INTEGER array, dimension (NM)
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* The values of the matrix column dimension N.
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*
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* NK (input) INTEGER
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* The number of values of K in the vector KVAL.
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*
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* KVAL (input) INTEGER array, dimension (NK)
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* The values of the matrix dimension K, used in SORMQR.
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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) REAL
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* The minimum time a subroutine will be timed.
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*
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* A (workspace) COMPLEX 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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* COPYA (workspace) COMPLEX array, dimension (LDAMAX*NMAX)
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*
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* WORK (workspace) COMPLEX array, dimension (3*max(MMAX,NMAX))
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*
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* RWORK (workspace) REAL array, dimension (2*NMAX)
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*
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* IWORK (workspace) INTEGER array, dimension (NMAX)
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*
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* RESLTS (workspace) REAL array, dimension
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* (LDR1,LDR2,NLDA)
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* The timing results for each subroutine over the relevant
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* values of MODE, (M,N), and LDA.
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*
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* LDR1 (input) INTEGER
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* The first dimension of RESLTS. LDR1 >= max(1,NM).
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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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* NOUT (input) INTEGER
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* The unit number for output.
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*
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* =====================================================================
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*
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* .. Parameters ..
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*
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*
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INTEGER NSUBS, NMODE
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PARAMETER ( NSUBS = 1, NMODE = 2 )
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REAL ONE
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PARAMETER ( ONE = 1.0E+0 )
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* ..
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* .. Local Scalars ..
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CHARACTER*3 PATH
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CHARACTER(32) CNAME
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INTEGER I, IC, ICL, ILDA, IM, IMODE, INB, INFO, LDA,
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$ LW, M, MINMN, MODE, N, NB, NX
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REAL COND, DMAX, 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(32) SUBNAM( NSUBS )
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INTEGER ISEED( 4 ), MODES( NMODE )
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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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REAL SECOND, SLAMCH, SMFLOP, SOPLA
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EXTERNAL SECOND, SLAMCH, SMFLOP, SOPLA
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* ..
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* .. External Subroutines ..
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EXTERNAL ATIMCK, ATIMIN, CGEQP3, CLACPY, CLATMS, ICOPY,
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$ SPRTB4, XLAENV
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC MAX, MIN, REAL
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* ..
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* .. Data statements ..
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DATA SUBNAM / 'CGEQP3' /
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DATA MODES / 2, 3 /
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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 ) = 'Complex precision'
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PATH( 2: 3 ) = 'QP'
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CALL ATIMIN( PATH, LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO )
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IF( .NOT.TIMSUB( 1 ) .OR. INFO.NE.0 )
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$ GO TO 90
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*
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* Check that M <= LDA for the input values.
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*
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CNAME = LINE( 1: 6 )
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CALL ATIMCK( 1, CNAME, NM, MVAL, NLDA, LDAVAL, NOUT, INFO )
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IF( INFO.GT.0 ) THEN
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WRITE( NOUT, FMT = 9996 )CNAME(1:ILA_LEN_TRIM(CNAME))
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GO TO 90
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END IF
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*
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* Set the condition number and scaling factor for the matrices
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* to be generated.
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*
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DMAX = ONE
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COND = ONE / SLAMCH( 'Precision' )
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*
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* Do for each type of matrix:
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*
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DO 80 IMODE = 1, NMODE
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MODE = MODES( IMODE )
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*
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*
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* *****************
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* * Timing xGEQP3 *
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* *****************
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*
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* Do for each value of LDA:
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*
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DO 60 ILDA = 1, NLDA
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LDA = LDAVAL( ILDA )
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*
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* Do for each pair of values (M,N):
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*
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DO 50 IM = 1, NM
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M = MVAL( IM )
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N = NVAL( IM )
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MINMN = MIN( M, N )
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*
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* Generate a test matrix of size m by n using the
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* singular value distribution indicated by MODE.
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*
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CALL CLATMS( M, N, 'Uniform', ISEED, 'Nonsymm', RWORK,
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$ MODE, COND, DMAX, M, N, 'No packing', COPYA,
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$ LDA, WORK, INFO )
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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 40 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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*
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*
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* CGEQP3
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*
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LW = MAX( 1, ( N+1 )*NB )
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DO 10 I = 1, N
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IWORK( N+I ) = 0
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10 CONTINUE
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IC = 0
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S1 = SECOND( )
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20 CONTINUE
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CALL ICOPY( N, IWORK( N+1 ), 1, IWORK, 1 )
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CALL CLACPY( 'All', M, N, COPYA, LDA, A, LDA )
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CALL CGEQP3( M, N, A, LDA, IWORK, TAU, WORK, LW,
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$ RWORK, INFO )
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*
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IF( INFO.NE.0 ) THEN
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WRITE( *, FMT = * )'>>>Warning: INFO returned by ',
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$ 'CGEQP3 is:', INFO
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INFO = 0
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END IF
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*
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S2 = SECOND( )
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TIME = S2 - S1
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IC = IC + 1
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IF( TIME.LT.TIMMIN )
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$ GO TO 20
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*
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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 ICOPY( N, IWORK( N+1 ), 1, IWORK, 1 )
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CALL CLACPY( 'All', M, N, COPYA, LDA, A, LDA )
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GO TO 20
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END IF
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*
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* Subtract the time used in CLACPY.
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*
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ICL = 1
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S1 = SECOND( )
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30 CONTINUE
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S2 = SECOND( )
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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 ICOPY( N, IWORK( N+1 ), 1, IWORK, 1 )
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CALL CLACPY( 'All', M, N, COPYA, LDA, A, LDA )
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GO TO 30
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END IF
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*
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TIME = ( TIME-UNTIME ) / REAL( IC )
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*
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* The number of flops of yGEQP3 is approximately the
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* the number of flops of yGEQPF.
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*
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OPS = SOPLA( 'CGEQPF', M, N, 0, 0, NB )
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RESLTS( INB, IM, ILDA ) = SMFLOP( OPS, TIME, INFO )
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*
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40 CONTINUE
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50 CONTINUE
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60 CONTINUE
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*
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* Print the results for each value of K and type of matrix.
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*
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WRITE( NOUT, FMT = 9999 )
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$ SUBNAM( 1 )(1:ILA_LEN_TRIM( SUBNAM( 1 ) ))
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WRITE( NOUT, FMT = 9998 )IMODE
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DO 70 I = 1, NLDA
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WRITE( NOUT, FMT = 9997 )I, LDAVAL( I )
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70 CONTINUE
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WRITE( NOUT, FMT = * )
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CALL SPRTB4( '( NB, NX)', 'M', 'N', NNB, NBVAL, NXVAL, NM,
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$ MVAL, NVAL, NLDA, RESLTS( 1, 1, 1 ), LDR1, LDR2,
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$ NOUT )
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*
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80 CONTINUE
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*
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9999 FORMAT( / ' *** Speed of ', A, ' in megaflops ***' )
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9998 FORMAT( 5X, 'type of matrix:', I4 )
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9997 FORMAT( 5X, 'line ', I4, ' with LDA = ', I4 )
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9996 FORMAT( 1X, A, ' timing run not attempted', / )
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*
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90 CONTINUE
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RETURN
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*
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* End of CTIMQ3
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*
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END
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