494 lines
16 KiB
FortranFixed
494 lines
16 KiB
FortranFixed
SUBROUTINE STIMRQ( LINE, NM, MVAL, NVAL, NK, KVAL, NNB, NBVAL,
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$ NXVAL, NLDA, LDAVAL, TIMMIN, A, TAU, B, 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, NK, 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 KVAL( * ), LDAVAL( * ), MVAL( * ), NBVAL( * ),
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$ NVAL( * ), NXVAL( * )
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REAL A( * ), B( * ), RESLTS( LDR1, LDR2, LDR3, * ),
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$ 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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* STIMRQ times the LAPACK routines to perform the RQ factorization of
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* a REAL general matrix.
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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 SORMRQ.
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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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* TAU (workspace) REAL array, dimension (min(M,N))
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*
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* B (workspace) REAL array, dimension (LDAMAX*NMAX)
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*
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* WORK (workspace) REAL array, dimension (LDAMAX*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,LDR3,2*NK)
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* The timing results for each subroutine over the relevant
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* values of (M,N), (NB,NX), 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,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 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 = 3 )
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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 LABM, 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, IK, ILDA, IM, IMX, INB, INFO,
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$ ISIDE, ISUB, ITOFF, ITRAN, K, K1, LDA, LW, M,
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$ M1, MINMN, 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 )
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CHARACTER(32) SUBNAM( NSUBS )
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INTEGER ISEED( 4 ), MUSE( 12 ), NUSE( 12 ), 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, SGERQF, SLACPY, SLATMS,
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$ SORGRQ, SORMRQ, SPRTB4, SPRTB5, STIMMG, 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 / 'SGERQF', 'SORGRQ', 'SORMRQ' /
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DATA SIDES / 'L', 'R' / , TRANSS / 'N', 'T' /
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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 ) = 'RQ'
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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 230
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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 = 9999 )CNAME(1:ILA_LEN_TRIM(CNAME))
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GO TO 230
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END IF
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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 70 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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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 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 (NB, NX) in NBVAL and NXVAL.
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*
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DO 50 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 N.
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*
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CALL ICOPY( 4, RESEED, 1, ISEED, 1 )
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CALL SLATMS( M, N, 'Uniform', ISEED, 'Nonsymm', TAU,
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$ MODE, COND, DMAX, M, N, '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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* SGERQF: RQ factorization
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*
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CALL SLACPY( 'Full', M, N, 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 SGERQF( M, N, A, 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( 'Full', M, N, 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( 'Full', M, N, 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 ) / REAL( IC )
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OPS = SOPLA( 'SGERQF', M, N, 0, 0, NB )
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RESLTS( INB, IM, ILDA, 1 ) = SMFLOP( OPS, TIME, INFO )
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ELSE
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*
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* If SGERQF was not timed, generate a matrix and factor
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* it using SGERQF 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 SLACPY( 'Full', M, N, B, LDA, A, LDA )
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CALL SGERQF( M, N, A, LDA, TAU, WORK, LW, 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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* SORGRQ: Generate orthogonal matrix Q from the RQ
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* factorization
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*
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CALL SLACPY( 'Full', MINMN, N, A, LDA, B, LDA )
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IC = 0
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S1 = SECOND( )
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30 CONTINUE
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CALL SORGRQ( MINMN, N, MINMN, B, LDA, TAU, 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 SLACPY( 'Full', MINMN, N, 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 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( 'Full', MINMN, N, 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( 'SORGRQ', MINMN, N, MINMN, 0, NB )
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RESLTS( INB, IM, ILDA, 2 ) = SMFLOP( OPS, TIME, INFO )
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END IF
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*
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50 CONTINUE
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60 CONTINUE
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70 CONTINUE
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*
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* Print tables of results
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*
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DO 90 ISUB = 1, NSUBS - 1
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IF( .NOT.TIMSUB( ISUB ) )
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$ GO TO 90
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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 80 I = 1, NLDA
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WRITE( NOUT, FMT = 9997 )I, LDAVAL( I )
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80 CONTINUE
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END IF
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WRITE( NOUT, FMT = * )
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IF( ISUB.EQ.2 )
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$ WRITE( NOUT, FMT = 9996 )
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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, ISUB ), LDR1,
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$ LDR2, NOUT )
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90 CONTINUE
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*
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* Time SORMRQ separately. Here the starting matrix is M by N, and
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* K is the free dimension of the matrix multiplied by Q.
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*
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IF( TIMSUB( 3 ) ) THEN
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*
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* Check that K <= LDA for the input values.
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*
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CALL ATIMCK( 3, CNAME, NK, KVAL, 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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GO TO 230
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END IF
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*
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* Use only the pairs (M,N) where M <= N.
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*
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IMX = 0
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DO 100 IM = 1, NM
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IF( MVAL( IM ).LE.NVAL( IM ) ) THEN
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IMX = IMX + 1
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MUSE( IMX ) = MVAL( IM )
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NUSE( IMX ) = NVAL( IM )
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END IF
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100 CONTINUE
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*
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* SORMRQ: Multiply by Q stored as a product of elementary
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* transformations
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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 180 IM = 1, IMX
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M = MUSE( IM )
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N = NUSE( IM )
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*
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* Do for each value of LDA:
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*
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DO 170 ILDA = 1, NLDA
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LDA = LDAVAL( ILDA )
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*
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* Generate an M by N matrix and form its RQ decomposition.
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*
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CALL SLATMS( M, N, 'Uniform', ISEED, 'Nonsymm', TAU,
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$ MODE, COND, DMAX, M, N, 'No packing', A,
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$ LDA, WORK, INFO )
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LW = MAX( 1, M*MAX( 1, NB ) )
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CALL SGERQF( M, N, A, LDA, TAU, WORK, LW, INFO )
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*
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* Do first for SIDE = 'L', then for SIDE = 'R'
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*
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I4 = 0
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DO 160 ISIDE = 1, 2
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SIDE = SIDES( ISIDE )
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*
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* Do for each pair of values (NB, NX) in NBVAL and
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* NXVAL.
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*
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DO 150 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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* Do for each value of K in KVAL
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*
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DO 140 IK = 1, NK
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K = KVAL( IK )
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*
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* Sort out which variable is which
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*
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IF( ISIDE.EQ.1 ) THEN
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K1 = M
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M1 = N
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N1 = K
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LW = MAX( 1, N1*MAX( 1, NB ) )
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ELSE
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K1 = M
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N1 = N
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M1 = K
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LW = MAX( 1, M1*MAX( 1, NB ) )
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END IF
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*
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* Do first for TRANS = 'N', then for TRANS = 'T'
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*
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ITOFF = 0
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DO 130 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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110 CONTINUE
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CALL SORMRQ( SIDE, TRANS, M1, N1, K1, A, LDA,
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$ TAU, B, LDA, 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 STIMMG( 0, M1, N1, B, LDA, 0, 0 )
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GO TO 110
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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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120 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 120
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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( 'SORMRQ', M1, N1, K1, ISIDE-1,
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$ NB )
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RESLTS( INB, IM, ILDA,
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$ I4+ITOFF+IK ) = SMFLOP( OPS, TIME, INFO )
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ITOFF = NK
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130 CONTINUE
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140 CONTINUE
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150 CONTINUE
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I4 = 2*NK
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160 CONTINUE
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170 CONTINUE
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180 CONTINUE
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*
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* Print tables of results
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*
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ISUB = 3
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I4 = 1
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IF( IMX.GE.1 ) THEN
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DO 220 ISIDE = 1, 2
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SIDE = SIDES( ISIDE )
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IF( ISIDE.EQ.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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IF( NLDA.GT.1 ) THEN
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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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END IF
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DO 210 ITRAN = 1, 2
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TRANS = TRANSS( ITRAN )
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DO 200 IK = 1, NK
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IF( ISIDE.EQ.1 ) THEN
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N = KVAL( IK )
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WRITE( NOUT, FMT = 9995 )
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$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) )), SIDE,
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$ TRANS, 'N', N
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LABM = 'M'
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ELSE
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M = KVAL( IK )
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WRITE( NOUT, FMT = 9995 )
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$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) )), SIDE,
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$ TRANS, 'M', M
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LABM = 'N'
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END IF
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CALL SPRTB5( 'NB', 'K', LABM, NNB, NBVAL, IMX,
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$ MUSE, NUSE, NLDA,
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$ RESLTS( 1, 1, 1, I4 ), LDR1, LDR2,
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$ NOUT )
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I4 = I4 + 1
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200 CONTINUE
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210 CONTINUE
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220 CONTINUE
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ELSE
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WRITE( NOUT, FMT = 9994 )
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$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) ))
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END IF
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END IF
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230 CONTINUE
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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, 'K = min(M,N)', / )
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9995 FORMAT( / 5X, A, ' with SIDE = ''', A1, ''', TRANS = ''', A1,
|
|
$ ''', ', A1, ' =', I6, / )
|
|
9994 FORMAT( ' *** No pairs (M,N) found with M <= N: ', A,
|
|
$ ' not timed' )
|
|
RETURN
|
|
*
|
|
* End of STIMRQ
|
|
*
|
|
END
|