595 lines
23 KiB
FortranFixed
595 lines
23 KiB
FortranFixed
SUBROUTINE DTIMB3( LINE, NM, MVAL, NN, NVAL, NK, KVAL, NLDA,
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$ LDAVAL, TIMMIN, A, B, C, RESLTS, LDR1, LDR2,
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$ 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*( * ) LINE
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INTEGER LDR1, LDR2, NK, NLDA, NM, NN, NOUT
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DOUBLE PRECISION TIMMIN
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* ..
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* .. Array Arguments ..
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INTEGER KVAL( * ), LDAVAL( * ), MVAL( * ), NVAL( * )
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DOUBLE PRECISION A( * ), B( * ), C( * ), RESLTS( LDR1, LDR2, * )
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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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* DTIMB3 times the Level 3 BLAS routines.
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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 row dimension 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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* NK (input) INTEGER
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* The number of values of K contained 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 K. K is used as the intermediate matrix
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* dimension for DGEMM (the product of an M x K matrix and a
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* K x N matrix) and as the dimension of the rank-K update in
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* DSYRK and SSYR2K.
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*
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* NLDA (input) INTEGER
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* The number of values of LDA contained in the vector LDAVAL.
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*
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* LDAVAL (input) INTEGER array, dimension (NLDA)
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* The values of the leading dimension of the array A.
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*
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* TIMMIN (input) DOUBLE PRECISION
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* The minimum time a subroutine will be timed.
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*
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* A (workspace) DOUBLE PRECISION array, dimension (LDAMAX*NMAX)
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* where LDAMAX and NMAX are the maximum values permitted
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* for LDA and N.
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*
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* B (workspace) DOUBLE PRECISION array, dimension (LDAMAX*NMAX)
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*
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* C (workspace) DOUBLE PRECISION array, dimension (LDAMAX*NMAX)
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*
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* RESLTS (output) DOUBLE PRECISION array, dimension (LDR1,LDR2,NLDA)
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* The timing results for each subroutine over the relevant
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* values of M, N, K, 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,NK).
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*
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* LDR2 (input) INTEGER
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* The second dimension of RESLTS. LDR2 >= max(1,NN).
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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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INTEGER NSUBS
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PARAMETER ( NSUBS = 6 )
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INTEGER NTRANS, NSIDES, NUPLOS
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PARAMETER ( NTRANS = 2, NSIDES = 2, NUPLOS = 2 )
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DOUBLE PRECISION ALPHA, BETA
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PARAMETER ( ALPHA = 1.0D0, BETA = 1.0D0 )
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* ..
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* .. Local Scalars ..
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CHARACTER SIDE, TRANSA, TRANSB, UPLO
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CHARACTER*3 PATH
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CHARACTER(32) CNAME
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INTEGER I, IC, ICL, IK, ILDA, IM, IMAT, IN, INFO,
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$ ISIDE, ISUB, ITA, ITB, IUPLO, K, LDA, M, N
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DOUBLE PRECISION OPS, S1, S2, TIME, UNTIME
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* ..
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* .. Local Arrays ..
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LOGICAL TIMSUB( NSUBS )
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CHARACTER SIDES( NSIDES ), TRANS( NTRANS ),
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$ UPLOS( NUPLOS )
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CHARACTER(32) NAMES( NSUBS )
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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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LOGICAL LSAME
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DOUBLE PRECISION DMFLOP, DOPBL3, DSECND
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EXTERNAL LSAME, DMFLOP, DOPBL3, DSECND
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* ..
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* .. External Subroutines ..
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EXTERNAL ATIMCK, ATIMIN, DGEMM, DPRTBL, DSYMM, DSYR2K,
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$ DSYRK, DTIMMG, DTRMM, DTRSM
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC DBLE
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* ..
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* .. Data statements ..
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DATA NAMES / 'DGEMM ', 'DSYMM ', 'DSYRK ', 'DSYR2K',
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$ 'DTRMM ', 'DTRSM ' /
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DATA TRANS / 'N', 'T' /
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DATA SIDES / 'L', 'R' /
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DATA UPLOS / 'U', 'L' /
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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 ) = 'Double precision'
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PATH( 2: 3 ) = 'B3'
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CALL ATIMIN( PATH, LINE, NSUBS, NAMES, TIMSUB, NOUT, INFO )
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IF( INFO.NE.0 )
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$ GO TO 480
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*
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* Check that M <= LDA.
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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 480
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END IF
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*
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* Time each routine.
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*
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DO 470 ISUB = 1, NSUBS
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IF( .NOT.TIMSUB( ISUB ) )
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$ GO TO 470
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*
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* Print header.
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*
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CNAME = NAMES( ISUB )
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WRITE( NOUT, FMT = 9998 )CNAME(1:ILA_LEN_TRIM(CNAME))
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IF( NLDA.EQ.1 ) THEN
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WRITE( NOUT, FMT = 9997 )LDAVAL( 1 )
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ELSE
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DO 10 I = 1, NLDA
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WRITE( NOUT, FMT = 9996 )I, LDAVAL( I )
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10 CONTINUE
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END IF
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*
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* Time DGEMM
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*
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IF( CNAME.EQ.'DGEMM ' ) THEN
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DO 90 ITA = 1, NTRANS
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TRANSA = TRANS( ITA )
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DO 80 ITB = 1, NTRANS
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TRANSB = TRANS( ITB )
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DO 70 IK = 1, NK
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K = KVAL( IK )
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DO 60 ILDA = 1, NLDA
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LDA = LDAVAL( ILDA )
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DO 50 IM = 1, NM
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M = MVAL( IM )
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DO 40 IN = 1, NN
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N = NVAL( IN )
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IF( TRANSA.EQ.'N' ) THEN
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CALL DTIMMG( 1, M, K, A, LDA, 0, 0 )
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ELSE
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CALL DTIMMG( 1, K, M, A, LDA, 0, 0 )
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END IF
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IF( TRANSB.EQ.'N' ) THEN
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CALL DTIMMG( 0, K, N, B, LDA, 0, 0 )
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ELSE
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CALL DTIMMG( 0, N, K, B, LDA, 0, 0 )
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END IF
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CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
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IC = 0
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S1 = DSECND( )
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20 CONTINUE
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CALL DGEMM( TRANSA, TRANSB, M, N, K,
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$ ALPHA, A, LDA, B, LDA, BETA,
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$ C, LDA )
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S2 = DSECND( )
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TIME = S2 - S1
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IC = IC + 1
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IF( TIME.LT.TIMMIN ) THEN
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CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
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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 DTIMMG.
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*
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ICL = 1
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S1 = DSECND( )
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30 CONTINUE
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S2 = DSECND( )
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UNTIME = S2 - S1
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ICL = ICL + 1
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IF( ICL.LE.IC ) THEN
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CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
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GO TO 30
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END IF
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*
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TIME = ( TIME-UNTIME ) / DBLE( IC )
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OPS = DOPBL3( CNAME, M, N, K )
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RESLTS( IM, IN, ILDA ) = DMFLOP( OPS,
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$ TIME, 0 )
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40 CONTINUE
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50 CONTINUE
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60 CONTINUE
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IF( IK.EQ.1 )
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$ WRITE( NOUT, FMT = 9995 )TRANSA, TRANSB
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WRITE( NOUT, FMT = 9994 )KVAL( IK )
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CALL DPRTBL( 'M', 'N', NM, MVAL, NN, NVAL, NLDA,
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$ RESLTS, LDR1, LDR2, NOUT )
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70 CONTINUE
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80 CONTINUE
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90 CONTINUE
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*
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ELSE IF( CNAME.EQ.'DSYMM ' ) THEN
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*
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* Time DSYMM
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*
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DO 160 ISIDE = 1, NSIDES
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SIDE = SIDES( ISIDE )
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DO 150 IUPLO = 1, NUPLOS
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UPLO = UPLOS( IUPLO )
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IF( LSAME( UPLO, 'U' ) ) THEN
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IMAT = 6
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ELSE
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IMAT = -6
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END IF
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DO 140 ILDA = 1, NLDA
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LDA = LDAVAL( ILDA )
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DO 130 IM = 1, NM
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M = MVAL( IM )
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DO 120 IN = 1, NN
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N = NVAL( IN )
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IF( ISIDE.EQ.1 ) THEN
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CALL DTIMMG( IMAT, M, M, A, LDA, 0, 0 )
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CALL DTIMMG( 0, M, N, B, LDA, 0, 0 )
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ELSE
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CALL DTIMMG( 0, M, N, B, LDA, 0, 0 )
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CALL DTIMMG( IMAT, N, N, A, LDA, 0, 0 )
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END IF
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CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
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IC = 0
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S1 = DSECND( )
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100 CONTINUE
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CALL DSYMM( SIDE, UPLO, M, N, ALPHA, A, LDA,
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$ B, LDA, BETA, C, LDA )
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S2 = DSECND( )
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TIME = S2 - S1
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IC = IC + 1
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IF( TIME.LT.TIMMIN ) THEN
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CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
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GO TO 100
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END IF
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*
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* Subtract the time used in DTIMMG.
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*
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ICL = 1
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S1 = DSECND( )
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110 CONTINUE
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S2 = DSECND( )
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UNTIME = S2 - S1
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ICL = ICL + 1
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IF( ICL.LE.IC ) THEN
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CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
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GO TO 110
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END IF
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*
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TIME = ( TIME-UNTIME ) / DBLE( IC )
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OPS = DOPBL3( CNAME, M, N, ISIDE-1 )
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RESLTS( IM, IN, ILDA ) = DMFLOP( OPS, TIME,
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$ 0 )
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120 CONTINUE
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130 CONTINUE
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140 CONTINUE
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WRITE( NOUT, FMT = 9993 )SIDE, UPLO
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CALL DPRTBL( 'M', 'N', NM, MVAL, NN, NVAL, NLDA,
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$ RESLTS, LDR1, LDR2, NOUT )
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150 CONTINUE
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160 CONTINUE
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*
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ELSE IF( CNAME.EQ.'DSYRK ' ) THEN
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*
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* Time DSYRK
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*
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DO 230 IUPLO = 1, NUPLOS
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UPLO = UPLOS( IUPLO )
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IF( LSAME( UPLO, 'U' ) ) THEN
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IMAT = 6
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ELSE
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IMAT = -6
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END IF
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DO 220 ITA = 1, NTRANS
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TRANSA = TRANS( ITA )
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DO 210 ILDA = 1, NLDA
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LDA = LDAVAL( ILDA )
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DO 200 IK = 1, NK
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K = KVAL( IK )
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IF( TRANSA.EQ.'N' ) THEN
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CALL DTIMMG( 1, N, K, A, LDA, 0, 0 )
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ELSE
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CALL DTIMMG( 1, K, N, A, LDA, 0, 0 )
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END IF
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DO 190 IN = 1, NN
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N = NVAL( IN )
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CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
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IC = 0
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S1 = DSECND( )
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170 CONTINUE
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CALL DSYRK( UPLO, TRANSA, N, K, ALPHA, A,
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$ LDA, BETA, C, LDA )
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S2 = DSECND( )
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TIME = S2 - S1
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IC = IC + 1
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IF( TIME.LT.TIMMIN ) THEN
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CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
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GO TO 170
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END IF
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*
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* Subtract the time used in DTIMMG.
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*
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ICL = 1
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S1 = DSECND( )
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180 CONTINUE
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S2 = DSECND( )
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UNTIME = S2 - S1
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ICL = ICL + 1
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IF( ICL.LE.IC ) THEN
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CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
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GO TO 180
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END IF
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*
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TIME = ( TIME-UNTIME ) / DBLE( IC )
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OPS = DOPBL3( CNAME, N, N, K )
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RESLTS( IK, IN, ILDA ) = DMFLOP( OPS, TIME,
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$ 0 )
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190 CONTINUE
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200 CONTINUE
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210 CONTINUE
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WRITE( NOUT, FMT = 9992 )
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$ CNAME(1:ILA_LEN_TRIM(CNAME)), UPLO, TRANSA
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CALL DPRTBL( 'K', 'N', NK, KVAL, NN, NVAL, NLDA,
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$ RESLTS, LDR1, LDR2, NOUT )
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220 CONTINUE
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230 CONTINUE
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*
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ELSE IF( CNAME.EQ.'DSYR2K' ) THEN
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*
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* Time DSYR2K
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*
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DO 300 IUPLO = 1, NUPLOS
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UPLO = UPLOS( IUPLO )
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IF( LSAME( UPLO, 'U' ) ) THEN
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IMAT = 6
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ELSE
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IMAT = -6
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END IF
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DO 290 ITB = 1, NTRANS
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TRANSB = TRANS( ITB )
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DO 280 ILDA = 1, NLDA
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LDA = LDAVAL( ILDA )
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DO 270 IK = 1, NK
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K = KVAL( IK )
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IF( TRANSB.EQ.'N' ) THEN
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CALL DTIMMG( 1, N, K, A, LDA, 0, 0 )
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CALL DTIMMG( 0, N, K, B, LDA, 0, 0 )
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ELSE
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CALL DTIMMG( 1, K, N, A, LDA, 0, 0 )
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CALL DTIMMG( 0, K, N, B, LDA, 0, 0 )
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END IF
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DO 260 IN = 1, NN
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N = NVAL( IN )
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CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
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IC = 0
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S1 = DSECND( )
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240 CONTINUE
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CALL DSYR2K( UPLO, TRANSB, N, K, ALPHA, A,
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$ LDA, B, LDA, BETA, C, LDA )
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S2 = DSECND( )
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TIME = S2 - S1
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IC = IC + 1
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IF( TIME.LT.TIMMIN ) THEN
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CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
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GO TO 240
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END IF
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*
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* Subtract the time used in DTIMMG.
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*
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ICL = 1
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S1 = DSECND( )
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250 CONTINUE
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S2 = DSECND( )
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UNTIME = S2 - S1
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ICL = ICL + 1
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IF( ICL.LE.IC ) THEN
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CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
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GO TO 250
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END IF
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*
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TIME = ( TIME-UNTIME ) / DBLE( IC )
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OPS = DOPBL3( CNAME, N, N, K )
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RESLTS( IK, IN, ILDA ) = DMFLOP( OPS, TIME,
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$ 0 )
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260 CONTINUE
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270 CONTINUE
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280 CONTINUE
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WRITE( NOUT, FMT = 9992 )
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$ CNAME(1:ILA_LEN_TRIM(CNAME)), UPLO, TRANSB
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CALL DPRTBL( 'K', 'N', NK, KVAL, NN, NVAL, NLDA,
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$ RESLTS, LDR1, LDR2, NOUT )
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290 CONTINUE
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300 CONTINUE
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*
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ELSE IF( CNAME.EQ.'DTRMM ' ) THEN
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*
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* Time DTRMM
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*
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DO 380 ISIDE = 1, NSIDES
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SIDE = SIDES( ISIDE )
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DO 370 IUPLO = 1, NUPLOS
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UPLO = UPLOS( IUPLO )
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IF( LSAME( UPLO, 'U' ) ) THEN
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IMAT = 9
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ELSE
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IMAT = -9
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END IF
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DO 360 ITA = 1, NTRANS
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TRANSA = TRANS( ITA )
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DO 350 ILDA = 1, NLDA
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LDA = LDAVAL( ILDA )
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DO 340 IM = 1, NM
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M = MVAL( IM )
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DO 330 IN = 1, NN
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N = NVAL( IN )
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IF( ISIDE.EQ.1 ) THEN
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CALL DTIMMG( IMAT, M, M, A, LDA, 0, 0 )
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ELSE
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CALL DTIMMG( IMAT, N, N, A, LDA, 0, 0 )
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END IF
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CALL DTIMMG( 0, M, N, B, LDA, 0, 0 )
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IC = 0
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S1 = DSECND( )
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310 CONTINUE
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CALL DTRMM( SIDE, UPLO, TRANSA,
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$ 'Non-unit', M, N, ALPHA, A,
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$ LDA, B, LDA )
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S2 = DSECND( )
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TIME = S2 - S1
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IC = IC + 1
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IF( TIME.LT.TIMMIN ) THEN
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CALL DTIMMG( 0, M, N, B, LDA, 0, 0 )
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GO TO 310
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END IF
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*
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* Subtract the time used in DTIMMG.
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*
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ICL = 1
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S1 = DSECND( )
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320 CONTINUE
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S2 = DSECND( )
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UNTIME = S2 - S1
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ICL = ICL + 1
|
|
IF( ICL.LE.IC ) THEN
|
|
CALL DTIMMG( 0, M, N, B, LDA, 0, 0 )
|
|
GO TO 320
|
|
END IF
|
|
*
|
|
TIME = ( TIME-UNTIME ) / DBLE( IC )
|
|
OPS = DOPBL3( CNAME, M, N, ISIDE-1 )
|
|
RESLTS( IM, IN, ILDA ) = DMFLOP( OPS,
|
|
$ TIME, 0 )
|
|
330 CONTINUE
|
|
340 CONTINUE
|
|
350 CONTINUE
|
|
WRITE( NOUT, FMT = 9991 )
|
|
$ CNAME(1:ILA_LEN_TRIM(CNAME)), SIDE, UPLO, TRANSA
|
|
CALL DPRTBL( 'M', 'N', NM, MVAL, NN, NVAL, NLDA,
|
|
$ RESLTS, LDR1, LDR2, NOUT )
|
|
360 CONTINUE
|
|
370 CONTINUE
|
|
380 CONTINUE
|
|
*
|
|
ELSE IF( CNAME.EQ.'DTRSM ' ) THEN
|
|
*
|
|
* Time DTRSM
|
|
*
|
|
DO 460 ISIDE = 1, NSIDES
|
|
SIDE = SIDES( ISIDE )
|
|
DO 450 IUPLO = 1, NUPLOS
|
|
UPLO = UPLOS( IUPLO )
|
|
IF( LSAME( UPLO, 'U' ) ) THEN
|
|
IMAT = 9
|
|
ELSE
|
|
IMAT = -9
|
|
END IF
|
|
DO 440 ITA = 1, NTRANS
|
|
TRANSA = TRANS( ITA )
|
|
DO 430 ILDA = 1, NLDA
|
|
LDA = LDAVAL( ILDA )
|
|
DO 420 IM = 1, NM
|
|
M = MVAL( IM )
|
|
DO 410 IN = 1, NN
|
|
N = NVAL( IN )
|
|
IF( ISIDE.EQ.1 ) THEN
|
|
CALL DTIMMG( IMAT, M, M, A, LDA, 0, 0 )
|
|
ELSE
|
|
CALL DTIMMG( IMAT, N, N, A, LDA, 0, 0 )
|
|
END IF
|
|
CALL DTIMMG( 0, M, N, B, LDA, 0, 0 )
|
|
IC = 0
|
|
S1 = DSECND( )
|
|
390 CONTINUE
|
|
CALL DTRSM( SIDE, UPLO, TRANSA,
|
|
$ 'Non-unit', M, N, ALPHA, A,
|
|
$ LDA, B, LDA )
|
|
S2 = DSECND( )
|
|
TIME = S2 - S1
|
|
IC = IC + 1
|
|
IF( TIME.LT.TIMMIN ) THEN
|
|
CALL DTIMMG( 0, M, N, B, LDA, 0, 0 )
|
|
GO TO 390
|
|
END IF
|
|
*
|
|
* Subtract the time used in DTIMMG.
|
|
*
|
|
ICL = 1
|
|
S1 = DSECND( )
|
|
400 CONTINUE
|
|
S2 = DSECND( )
|
|
UNTIME = S2 - S1
|
|
ICL = ICL + 1
|
|
IF( ICL.LE.IC ) THEN
|
|
CALL DTIMMG( 0, M, N, B, LDA, 0, 0 )
|
|
GO TO 400
|
|
END IF
|
|
*
|
|
TIME = ( TIME-UNTIME ) / DBLE( IC )
|
|
OPS = DOPBL3( CNAME, M, N, ISIDE-1 )
|
|
RESLTS( IM, IN, ILDA ) = DMFLOP( OPS,
|
|
$ TIME, 0 )
|
|
410 CONTINUE
|
|
420 CONTINUE
|
|
430 CONTINUE
|
|
WRITE( NOUT, FMT = 9991 )
|
|
$ CNAME(1:ILA_LEN_TRIM(CNAME)), SIDE, UPLO, TRANSA
|
|
CALL DPRTBL( 'M', 'N', NM, MVAL, NN, NVAL, NLDA,
|
|
$ RESLTS, LDR1, LDR2, NOUT )
|
|
440 CONTINUE
|
|
450 CONTINUE
|
|
460 CONTINUE
|
|
END IF
|
|
WRITE( NOUT, FMT = 9990 )
|
|
470 CONTINUE
|
|
480 CONTINUE
|
|
*
|
|
9999 FORMAT( 1X, A, ' timing run not attempted', / )
|
|
9998 FORMAT( / ' *** Speed of ', A, ' in megaflops ***' )
|
|
9997 FORMAT( 5X, 'with LDA = ', I5 )
|
|
9996 FORMAT( 5X, 'line ', I2, ' with LDA = ', I5 )
|
|
9995 FORMAT( / 1X, 'DGEMM with TRANSA = ''', A1, ''', TRANSB = ''',
|
|
$ A1, '''' )
|
|
9994 FORMAT( / 1X, 'K = ', I4, / )
|
|
9993 FORMAT( / 1X, 'DSYMM with SIDE = ''', A1, ''', UPLO = ''', A1,
|
|
$ '''', / )
|
|
9992 FORMAT( / 1X, A, ' with UPLO = ''', A1, ''', TRANS = ''', A1,
|
|
$ '''', / )
|
|
9991 FORMAT( / 1X, A, ' with SIDE = ''', A1, ''', UPLO = ''', A1,
|
|
$ ''',', ' TRANS = ''', A1, '''', / )
|
|
9990 FORMAT( / / / / / )
|
|
RETURN
|
|
*
|
|
* End of DTIMB3
|
|
*
|
|
END
|