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SUBROUTINE DTIMB3( LINE, NM, MVAL, NN, NVAL, NK, KVAL, NLDA,
$ LDAVAL, TIMMIN, A, B, C, RESLTS, LDR1, LDR2,
$ NOUT )
*
* -- LAPACK timing routine (version 3.0) --
* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
* Courant Institute, Argonne National Lab, and Rice University
* March 31, 1993
*
* .. Scalar Arguments ..
CHARACTER*( * ) LINE
INTEGER LDR1, LDR2, NK, NLDA, NM, NN, NOUT
DOUBLE PRECISION TIMMIN
* ..
* .. Array Arguments ..
INTEGER KVAL( * ), LDAVAL( * ), MVAL( * ), NVAL( * )
DOUBLE PRECISION A( * ), B( * ), C( * ), RESLTS( LDR1, LDR2, * )
* ..
*
* Purpose
* =======
*
* DTIMB3 times the Level 3 BLAS routines.
*
* Arguments
* =========
*
* LINE (input) CHARACTER*80
* The input line that requested this routine. The first six
* characters contain either the name of a subroutine or a
* generic path name. The remaining characters may be used to
* specify the individual routines to be timed. See ATIMIN for
* a full description of the format of the input line.
*
* NM (input) INTEGER
* The number of values of M contained in the vector MVAL.
*
* MVAL (input) INTEGER array, dimension (NM)
* The values of the matrix row dimension M.
*
* NN (input) INTEGER
* The number of values of N contained in the vector NVAL.
*
* NVAL (input) INTEGER array, dimension (NN)
* The values of the matrix column dimension N.
*
* NK (input) INTEGER
* The number of values of K contained in the vector KVAL.
*
* KVAL (input) INTEGER array, dimension (NK)
* The values of K. K is used as the intermediate matrix
* dimension for DGEMM (the product of an M x K matrix and a
* K x N matrix) and as the dimension of the rank-K update in
* DSYRK and SSYR2K.
*
* NLDA (input) INTEGER
* The number of values of LDA contained in the vector LDAVAL.
*
* LDAVAL (input) INTEGER array, dimension (NLDA)
* The values of the leading dimension of the array A.
*
* TIMMIN (input) DOUBLE PRECISION
* The minimum time a subroutine will be timed.
*
* A (workspace) DOUBLE PRECISION array, dimension (LDAMAX*NMAX)
* where LDAMAX and NMAX are the maximum values permitted
* for LDA and N.
*
* B (workspace) DOUBLE PRECISION array, dimension (LDAMAX*NMAX)
*
* C (workspace) DOUBLE PRECISION array, dimension (LDAMAX*NMAX)
*
* RESLTS (output) DOUBLE PRECISION array, dimension (LDR1,LDR2,NLDA)
* The timing results for each subroutine over the relevant
* values of M, N, K, and LDA.
*
* LDR1 (input) INTEGER
* The first dimension of RESLTS. LDR1 >= max(1,NM,NK).
*
* LDR2 (input) INTEGER
* The second dimension of RESLTS. LDR2 >= max(1,NN).
*
* NOUT (input) INTEGER
* The unit number for output.
*
* =====================================================================
*
* .. Parameters ..
INTEGER NSUBS
PARAMETER ( NSUBS = 6 )
INTEGER NTRANS, NSIDES, NUPLOS
PARAMETER ( NTRANS = 2, NSIDES = 2, NUPLOS = 2 )
DOUBLE PRECISION ALPHA, BETA
PARAMETER ( ALPHA = 1.0D0, BETA = 1.0D0 )
* ..
* .. Local Scalars ..
CHARACTER SIDE, TRANSA, TRANSB, UPLO
CHARACTER*3 PATH
CHARACTER*6 CNAME
INTEGER I, IC, ICL, IK, ILDA, IM, IMAT, IN, INFO,
$ ISIDE, ISUB, ITA, ITB, IUPLO, K, LDA, M, N
DOUBLE PRECISION OPS, S1, S2, TIME, UNTIME
* ..
* .. Local Arrays ..
LOGICAL TIMSUB( NSUBS )
CHARACTER SIDES( NSIDES ), TRANS( NTRANS ),
$ UPLOS( NUPLOS )
CHARACTER*6 NAMES( NSUBS )
* ..
* .. External Functions ..
LOGICAL LSAME
DOUBLE PRECISION DMFLOP, DOPBL3, DSECND
EXTERNAL LSAME, DMFLOP, DOPBL3, DSECND
* ..
* .. External Subroutines ..
EXTERNAL ATIMCK, ATIMIN, DGEMM, DPRTBL, DSYMM, DSYR2K,
$ DSYRK, DTIMMG, DTRMM, DTRSM
* ..
* .. Intrinsic Functions ..
INTRINSIC DBLE
* ..
* .. Data statements ..
DATA NAMES / 'DGEMM ', 'DSYMM ', 'DSYRK ', 'DSYR2K',
$ 'DTRMM ', 'DTRSM ' /
DATA TRANS / 'N', 'T' /
DATA SIDES / 'L', 'R' /
DATA UPLOS / 'U', 'L' /
* ..
* .. Executable Statements ..
*
* Extract the timing request from the input line.
*
PATH( 1: 1 ) = 'Double precision'
PATH( 2: 3 ) = 'B3'
CALL ATIMIN( PATH, LINE, NSUBS, NAMES, TIMSUB, NOUT, INFO )
IF( INFO.NE.0 )
$ GO TO 480
*
* Check that M <= LDA.
*
CNAME = LINE( 1: 6 )
CALL ATIMCK( 1, CNAME, NM, MVAL, NLDA, LDAVAL, NOUT, INFO )
IF( INFO.GT.0 ) THEN
WRITE( NOUT, FMT = 9999 )CNAME
GO TO 480
END IF
*
* Time each routine.
*
DO 470 ISUB = 1, NSUBS
IF( .NOT.TIMSUB( ISUB ) )
$ GO TO 470
*
* Print header.
*
CNAME = NAMES( ISUB )
WRITE( NOUT, FMT = 9998 )CNAME
IF( NLDA.EQ.1 ) THEN
WRITE( NOUT, FMT = 9997 )LDAVAL( 1 )
ELSE
DO 10 I = 1, NLDA
WRITE( NOUT, FMT = 9996 )I, LDAVAL( I )
10 CONTINUE
END IF
*
* Time DGEMM
*
IF( CNAME.EQ.'DGEMM ' ) THEN
DO 90 ITA = 1, NTRANS
TRANSA = TRANS( ITA )
DO 80 ITB = 1, NTRANS
TRANSB = TRANS( ITB )
DO 70 IK = 1, NK
K = KVAL( IK )
DO 60 ILDA = 1, NLDA
LDA = LDAVAL( ILDA )
DO 50 IM = 1, NM
M = MVAL( IM )
DO 40 IN = 1, NN
N = NVAL( IN )
IF( TRANSA.EQ.'N' ) THEN
CALL DTIMMG( 1, M, K, A, LDA, 0, 0 )
ELSE
CALL DTIMMG( 1, K, M, A, LDA, 0, 0 )
END IF
IF( TRANSB.EQ.'N' ) THEN
CALL DTIMMG( 0, K, N, B, LDA, 0, 0 )
ELSE
CALL DTIMMG( 0, N, K, B, LDA, 0, 0 )
END IF
CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
IC = 0
S1 = DSECND( )
20 CONTINUE
CALL DGEMM( TRANSA, TRANSB, M, N, K,
$ ALPHA, A, LDA, B, LDA, BETA,
$ C, LDA )
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
GO TO 20
END IF
*
* Subtract the time used in DTIMMG.
*
ICL = 1
S1 = DSECND( )
30 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
GO TO 30
END IF
*
TIME = ( TIME-UNTIME ) / DBLE( IC )
OPS = DOPBL3( CNAME, M, N, K )
RESLTS( IM, IN, ILDA ) = DMFLOP( OPS,
$ TIME, 0 )
40 CONTINUE
50 CONTINUE
60 CONTINUE
IF( IK.EQ.1 )
$ WRITE( NOUT, FMT = 9995 )TRANSA, TRANSB
WRITE( NOUT, FMT = 9994 )KVAL( IK )
CALL DPRTBL( 'M', 'N', NM, MVAL, NN, NVAL, NLDA,
$ RESLTS, LDR1, LDR2, NOUT )
70 CONTINUE
80 CONTINUE
90 CONTINUE
*
ELSE IF( CNAME.EQ.'DSYMM ' ) THEN
*
* Time DSYMM
*
DO 160 ISIDE = 1, NSIDES
SIDE = SIDES( ISIDE )
DO 150 IUPLO = 1, NUPLOS
UPLO = UPLOS( IUPLO )
IF( LSAME( UPLO, 'U' ) ) THEN
IMAT = 6
ELSE
IMAT = -6
END IF
DO 140 ILDA = 1, NLDA
LDA = LDAVAL( ILDA )
DO 130 IM = 1, NM
M = MVAL( IM )
DO 120 IN = 1, NN
N = NVAL( IN )
IF( ISIDE.EQ.1 ) THEN
CALL DTIMMG( IMAT, M, M, A, LDA, 0, 0 )
CALL DTIMMG( 0, M, N, B, LDA, 0, 0 )
ELSE
CALL DTIMMG( 0, M, N, B, LDA, 0, 0 )
CALL DTIMMG( IMAT, N, N, A, LDA, 0, 0 )
END IF
CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
IC = 0
S1 = DSECND( )
100 CONTINUE
CALL DSYMM( SIDE, UPLO, M, N, ALPHA, A, LDA,
$ B, LDA, BETA, C, LDA )
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
GO TO 100
END IF
*
* Subtract the time used in DTIMMG.
*
ICL = 1
S1 = DSECND( )
110 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
CALL DTIMMG( 1, M, N, C, LDA, 0, 0 )
GO TO 110
END IF
*
TIME = ( TIME-UNTIME ) / DBLE( IC )
OPS = DOPBL3( CNAME, M, N, ISIDE-1 )
RESLTS( IM, IN, ILDA ) = DMFLOP( OPS, TIME,
$ 0 )
120 CONTINUE
130 CONTINUE
140 CONTINUE
WRITE( NOUT, FMT = 9993 )SIDE, UPLO
CALL DPRTBL( 'M', 'N', NM, MVAL, NN, NVAL, NLDA,
$ RESLTS, LDR1, LDR2, NOUT )
150 CONTINUE
160 CONTINUE
*
ELSE IF( CNAME.EQ.'DSYRK ' ) THEN
*
* Time DSYRK
*
DO 230 IUPLO = 1, NUPLOS
UPLO = UPLOS( IUPLO )
IF( LSAME( UPLO, 'U' ) ) THEN
IMAT = 6
ELSE
IMAT = -6
END IF
DO 220 ITA = 1, NTRANS
TRANSA = TRANS( ITA )
DO 210 ILDA = 1, NLDA
LDA = LDAVAL( ILDA )
DO 200 IK = 1, NK
K = KVAL( IK )
IF( TRANSA.EQ.'N' ) THEN
CALL DTIMMG( 1, N, K, A, LDA, 0, 0 )
ELSE
CALL DTIMMG( 1, K, N, A, LDA, 0, 0 )
END IF
DO 190 IN = 1, NN
N = NVAL( IN )
CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
IC = 0
S1 = DSECND( )
170 CONTINUE
CALL DSYRK( UPLO, TRANSA, N, K, ALPHA, A,
$ LDA, BETA, C, LDA )
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
GO TO 170
END IF
*
* Subtract the time used in DTIMMG.
*
ICL = 1
S1 = DSECND( )
180 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
GO TO 180
END IF
*
TIME = ( TIME-UNTIME ) / DBLE( IC )
OPS = DOPBL3( CNAME, N, N, K )
RESLTS( IK, IN, ILDA ) = DMFLOP( OPS, TIME,
$ 0 )
190 CONTINUE
200 CONTINUE
210 CONTINUE
WRITE( NOUT, FMT = 9992 )CNAME, UPLO, TRANSA
CALL DPRTBL( 'K', 'N', NK, KVAL, NN, NVAL, NLDA,
$ RESLTS, LDR1, LDR2, NOUT )
220 CONTINUE
230 CONTINUE
*
ELSE IF( CNAME.EQ.'DSYR2K' ) THEN
*
* Time DSYR2K
*
DO 300 IUPLO = 1, NUPLOS
UPLO = UPLOS( IUPLO )
IF( LSAME( UPLO, 'U' ) ) THEN
IMAT = 6
ELSE
IMAT = -6
END IF
DO 290 ITB = 1, NTRANS
TRANSB = TRANS( ITB )
DO 280 ILDA = 1, NLDA
LDA = LDAVAL( ILDA )
DO 270 IK = 1, NK
K = KVAL( IK )
IF( TRANSB.EQ.'N' ) THEN
CALL DTIMMG( 1, N, K, A, LDA, 0, 0 )
CALL DTIMMG( 0, N, K, B, LDA, 0, 0 )
ELSE
CALL DTIMMG( 1, K, N, A, LDA, 0, 0 )
CALL DTIMMG( 0, K, N, B, LDA, 0, 0 )
END IF
DO 260 IN = 1, NN
N = NVAL( IN )
CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
IC = 0
S1 = DSECND( )
240 CONTINUE
CALL DSYR2K( UPLO, TRANSB, N, K, ALPHA, A,
$ LDA, B, LDA, BETA, C, LDA )
S2 = DSECND( )
TIME = S2 - S1
IC = IC + 1
IF( TIME.LT.TIMMIN ) THEN
CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
GO TO 240
END IF
*
* Subtract the time used in DTIMMG.
*
ICL = 1
S1 = DSECND( )
250 CONTINUE
S2 = DSECND( )
UNTIME = S2 - S1
ICL = ICL + 1
IF( ICL.LE.IC ) THEN
CALL DTIMMG( IMAT, N, N, C, LDA, 0, 0 )
GO TO 250
END IF
*
TIME = ( TIME-UNTIME ) / DBLE( IC )
OPS = DOPBL3( CNAME, N, N, K )
RESLTS( IK, IN, ILDA ) = DMFLOP( OPS, TIME,
$ 0 )
260 CONTINUE
270 CONTINUE
280 CONTINUE
WRITE( NOUT, FMT = 9992 )CNAME, UPLO, TRANSB
CALL DPRTBL( 'K', 'N', NK, KVAL, NN, NVAL, NLDA,
$ RESLTS, LDR1, LDR2, NOUT )
290 CONTINUE
300 CONTINUE
*
ELSE IF( CNAME.EQ.'DTRMM ' ) THEN
*
* Time DTRMM
*
DO 380 ISIDE = 1, NSIDES
SIDE = SIDES( ISIDE )
DO 370 IUPLO = 1, NUPLOS
UPLO = UPLOS( IUPLO )
IF( LSAME( UPLO, 'U' ) ) THEN
IMAT = 9
ELSE
IMAT = -9
END IF
DO 360 ITA = 1, NTRANS
TRANSA = TRANS( ITA )
DO 350 ILDA = 1, NLDA
LDA = LDAVAL( ILDA )
DO 340 IM = 1, NM
M = MVAL( IM )
DO 330 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( )
310 CONTINUE
CALL DTRMM( 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 310
END IF
*
* Subtract the time used in DTIMMG.
*
ICL = 1
S1 = DSECND( )
320 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 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, 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, 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, A6, ' timing run not attempted', / )
9998 FORMAT( / ' *** Speed of ', A6, ' 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, A6, ' with UPLO = ''', A1, ''', TRANS = ''', A1,
$ '''', / )
9991 FORMAT( / 1X, A6, ' with SIDE = ''', A1, ''', UPLO = ''', A1,
$ ''',', ' TRANS = ''', A1, '''', / )
9990 FORMAT( / / / / / )
RETURN
*
* End of DTIMB3
*
END
|
