509 lines
18 KiB
FortranFixed
509 lines
18 KiB
FortranFixed
SUBROUTINE STIMTD( LINE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
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$ NLDA, LDAVAL, TIMMIN, A, B, D, TAU, WORK,
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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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REAL 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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REAL A( * ), B( * ), D( * ),
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$ RESLTS( LDR1, LDR2, LDR3, * ), TAU( * ),
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$ 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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* STIMTD times the LAPACK routines SSYTRD, SORGTR, and SORMTR and the
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* EISPACK routine TRED1.
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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) REAL
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* The minimum time a subroutine will be timed.
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*
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* A (workspace) REAL 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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* B (workspace) REAL array, dimension (LDAMAX*NMAX)
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*
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* D (workspace) REAL array, dimension (2*NMAX-1)
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*
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* TAU (workspace) REAL array, dimension (NMAX)
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*
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* WORK (workspace) REAL array, dimension (NMAX*NBMAX)
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* where NBMAX is the maximum value of NB.
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*
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* RESLTS (workspace) REAL 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(1,2*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 SLATMS for further details.
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*
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* COND REAL
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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 REAL
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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 = 4 )
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INTEGER MODE
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REAL COND, DMAX
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PARAMETER ( MODE = 3, COND = 100.0E0, DMAX = 1.0E0 )
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* ..
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* .. Local Scalars ..
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CHARACTER LAB1, LAB2, SIDE, TRANS, UPLO
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CHARACTER*3 PATH
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CHARACTER(32) CNAME
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INTEGER I, I3, I4, IC, ICL, ILDA, IM, IN, INB, INFO,
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$ ISIDE, ISUB, ITOFF, ITRAN, IUPLO, LDA, LW, M,
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$ M1, N, N1, NB, NX
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REAL 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 ), UPLOS( 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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REAL SECOND, SMFLOP, SOPLA
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EXTERNAL SECOND, SMFLOP, SOPLA
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* ..
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* .. External Subroutines ..
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EXTERNAL ATIMCK, ATIMIN, ICOPY, SLACPY, SLATMS, SORGTR,
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$ SORMTR, SPRTB3, SPRTBL, SSYTRD, STIMMG, TRED1,
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$ XLAENV
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC MAX, REAL
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* ..
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* .. Data statements ..
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DATA SUBNAM / 'SSYTRD', 'TRED1', 'SORGTR',
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$ 'SORMTR' /
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DATA SIDES / 'L', 'R' / , TRANSS / 'N', 'T' / ,
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$ UPLOS / 'U', 'L' /
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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 ) = 'Single precision'
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PATH( 2: 3 ) = 'TD'
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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 240
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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( 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 240
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END IF
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*
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* Check that K <= LDA for SORMTR
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*
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IF( TIMSUB( 4 ) ) 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( 4 )(1:ILA_LEN_TRIM( SUBNAM( 4 ) ))
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TIMSUB( 4 ) = .FALSE.
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END IF
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END IF
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*
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* Do first for UPLO = 'U', then for UPLO = 'L'
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*
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DO 150 IUPLO = 1, 2
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UPLO = UPLOS( IUPLO )
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*
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* Do for each value of M:
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*
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DO 140 IM = 1, NM
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M = MVAL( IM )
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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 130 ILDA = 1, NLDA
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LDA = LDAVAL( ILDA )
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I3 = ( IUPLO-1 )*NLDA + 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 120 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 order M.
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*
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CALL ICOPY( 4, RESEED, 1, ISEED, 1 )
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CALL SLATMS( M, M, 'Uniform', ISEED, 'Symmetric', TAU,
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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( 2 ) .AND. INB.EQ.1 .AND. IUPLO.EQ.2 ) THEN
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*
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* TRED1: Eispack reduction using orthogonal
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* transformations.
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*
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CALL SLACPY( UPLO, M, M, B, LDA, A, LDA )
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IC = 0
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S1 = SECOND( )
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10 CONTINUE
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CALL TRED1( LDA, M, A, D, D( M+1 ), D( M+1 ) )
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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 ) THEN
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CALL SLACPY( UPLO, 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 SLACPY.
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*
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ICL = 1
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S1 = SECOND( )
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20 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 SLACPY( UPLO, M, M, B, LDA, A, 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 ) / REAL( IC )
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OPS = SOPLA( 'SSYTRD', M, M, -1, -1, NB )
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RESLTS( INB, IM, ILDA, 2 ) = SMFLOP( OPS, TIME,
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$ INFO )
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END IF
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*
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IF( TIMSUB( 1 ) ) THEN
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*
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* SSYTRD: Reduction to tridiagonal form
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*
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CALL SLACPY( UPLO, M, M, B, LDA, A, LDA )
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IC = 0
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S1 = SECOND( )
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30 CONTINUE
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CALL SSYTRD( UPLO, M, A, LDA, D, D( M+1 ), TAU,
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$ WORK, LW, INFO )
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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 ) THEN
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CALL SLACPY( UPLO, M, M, B, LDA, A, 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 SLACPY.
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*
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ICL = 1
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S1 = SECOND( )
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40 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 SLACPY( UPLO, 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 ) / REAL( IC )
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OPS = SOPLA( 'SSYTRD', M, M, -1, -1, NB )
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RESLTS( INB, IM, I3, 1 ) = SMFLOP( OPS, TIME,
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$ INFO )
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ELSE
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*
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* If SSYTRD was not timed, generate a matrix and
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* factor it using SSYTRD anyway so that the factored
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* form of the matrix can be used in timing the other
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* routines.
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*
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CALL SLACPY( UPLO, M, M, B, LDA, A, LDA )
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CALL SSYTRD( UPLO, M, A, LDA, D, D( M+1 ), TAU,
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$ WORK, LW, 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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* SORGTR: 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 SLACPY( UPLO, M, M, A, LDA, B, LDA )
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IC = 0
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S1 = SECOND( )
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50 CONTINUE
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CALL SORGTR( UPLO, M, B, LDA, TAU, WORK, LW, INFO )
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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 ) THEN
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CALL SLACPY( UPLO, M, M, A, LDA, B, LDA )
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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 SLACPY.
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*
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ICL = 1
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S1 = SECOND( )
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60 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 SLACPY( UPLO, M, M, A, LDA, B, LDA )
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GO TO 60
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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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* Op count for SORGTR: same as
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* SORGQR( N-1, N-1, N-1, ... )
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*
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OPS = SOPLA( 'SORGQR', M-1, M-1, M-1, -1, NB )
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RESLTS( INB, IM, I3, 3 ) = SMFLOP( OPS, TIME,
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$ INFO )
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END IF
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*
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IF( TIMSUB( 4 ) ) THEN
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*
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* SORMTR: Multiply by Q stored as a product of
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* elementary transformations
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*
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I4 = 3
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DO 110 ISIDE = 1, 2
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SIDE = SIDES( ISIDE )
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DO 100 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 90 ITRAN = 1, 2
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TRANS = TRANSS( ITRAN )
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CALL STIMMG( 0, M1, N1, B, LDA, 0, 0 )
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IC = 0
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S1 = SECOND( )
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70 CONTINUE
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CALL SORMTR( SIDE, UPLO, TRANS, M1, N1, A,
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$ LDA, TAU, B, LDA, WORK, LW,
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$ INFO )
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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 ) THEN
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CALL STIMMG( 0, M1, N1, B, LDA, 0, 0 )
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GO TO 70
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END IF
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*
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* Subtract the time used in STIMMG.
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*
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ICL = 1
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S1 = SECOND( )
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80 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 STIMMG( 0, M1, N1, B, LDA, 0, 0 )
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GO TO 80
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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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* Op count for SORMTR, SIDE='L': same as
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* SORMQR( 'L', TRANS, M-1, N, M-1, ...)
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*
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* Op count for SORMTR, SIDE='R': same as
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* SORMQR( 'R', TRANS, M, N-1, N-1, ...)
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*
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IF( ISIDE.EQ.1 ) THEN
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OPS = SOPLA( 'SORMQR', M1-1, N1, M1-1,
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$ -1, NB )
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ELSE
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OPS = SOPLA( 'SORMQR', M1, N1-1, N1-1,
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$ 1, NB )
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END IF
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*
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RESLTS( INB, IM, I3,
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$ I4+ITOFF+IN ) = SMFLOP( OPS, TIME,
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$ INFO )
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ITOFF = NN
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90 CONTINUE
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100 CONTINUE
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I4 = I4 + 2*NN
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110 CONTINUE
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END IF
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*
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120 CONTINUE
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130 CONTINUE
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140 CONTINUE
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150 CONTINUE
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*
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* Print tables of results for SSYTRD, TRED1, and SORGTR
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*
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DO 180 ISUB = 1, NSUBS - 1
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IF( .NOT.TIMSUB( ISUB ) )
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$ GO TO 180
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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 160 I = 1, NLDA
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WRITE( NOUT, FMT = 9997 )I, LDAVAL( I )
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160 CONTINUE
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END IF
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IF( ISUB.EQ.2 ) THEN
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WRITE( NOUT, FMT = * )
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CALL SPRTB3( ' ', 'N', 1, NBVAL, NXVAL, NM, MVAL, NLDA,
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$ RESLTS( 1, 1, 1, ISUB ), LDR1, LDR2, NOUT )
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ELSE
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I3 = 1
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DO 170 IUPLO = 1, 2
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WRITE( NOUT, FMT = 9996 )
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$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) )),
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$ UPLOS( IUPLO )
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CALL SPRTB3( '( NB, NX)', 'N', NNB, NBVAL, NXVAL, NM,
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$ MVAL, NLDA, RESLTS( 1, 1, I3, ISUB ), LDR1,
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$ LDR2, NOUT )
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I3 = I3 + NLDA
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170 CONTINUE
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END IF
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180 CONTINUE
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*
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* Print tables of results for SORMTR
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*
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ISUB = 4
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IF( TIMSUB( ISUB ) ) THEN
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I4 = 3
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DO 230 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 190 I = 1, NLDA
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WRITE( NOUT, FMT = 9997 )I, LDAVAL( I )
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190 CONTINUE
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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 220 ITRAN = 1, 2
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DO 210 IN = 1, NN
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I3 = 1
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DO 200 IUPLO = 1, 2
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WRITE( NOUT, FMT = 9995 )
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$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) )),
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$ SIDES( ISIDE ), UPLOS( IUPLO ), TRANSS( ITRAN ),
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$ LAB2, NVAL( IN )
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CALL SPRTBL( 'NB', LAB1, NNB, NBVAL, NM, MVAL,
|
|
$ NLDA, RESLTS( 1, 1, I3, I4+IN ), LDR1,
|
|
$ LDR2, NOUT )
|
|
I3 = I3 + NLDA
|
|
200 CONTINUE
|
|
210 CONTINUE
|
|
I4 = I4 + NN
|
|
220 CONTINUE
|
|
230 CONTINUE
|
|
END IF
|
|
240 CONTINUE
|
|
*
|
|
* Print a table of results for each timed routine.
|
|
*
|
|
9999 FORMAT( 1X, A, ' timing run not attempted', / )
|
|
9998 FORMAT( / ' *** Speed of ', A, ' in megaflops *** ' )
|
|
9997 FORMAT( 5X, 'line ', I2, ' with LDA = ', I5 )
|
|
9996 FORMAT( / 5X, A, ' with UPLO = ''', A1, '''', / )
|
|
9995 FORMAT( / 5X, A, ' with SIDE = ''', A1, ''', UPLO = ''', A1,
|
|
$ ''', TRANS = ''', A1, ''', ', A1, ' =', I6, / )
|
|
RETURN
|
|
*
|
|
* End of STIMTD
|
|
*
|
|
END
|