488 lines
16 KiB
FortranFixed
488 lines
16 KiB
FortranFixed
SUBROUTINE STIMHR( LINE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
|
|
$ NLDA, LDAVAL, TIMMIN, A, TAU, B, WORK, RESLTS,
|
|
$ LDR1, LDR2, LDR3, NOUT )
|
|
*
|
|
* -- LAPACK timing routine (version 3.1) --
|
|
* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
|
|
* October 2006
|
|
*
|
|
* .. Scalar Arguments ..
|
|
CHARACTER*80 LINE
|
|
INTEGER LDR1, LDR2, LDR3, NLDA, NM, NN, NNB, NOUT
|
|
REAL TIMMIN
|
|
* ..
|
|
* .. Array Arguments ..
|
|
INTEGER LDAVAL( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
|
|
$ NXVAL( * )
|
|
REAL A( * ), B( * ), RESLTS( LDR1, LDR2, LDR3, * ),
|
|
$ TAU( * ), WORK( * )
|
|
* ..
|
|
*
|
|
* Purpose
|
|
* =======
|
|
*
|
|
* STIMHR times the LAPACK routines SGEHRD, SORGHR, and SORMHR and the
|
|
* EISPACK routine ORTHES.
|
|
*
|
|
* 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 size 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.
|
|
*
|
|
* NNB (input) INTEGER
|
|
* The number of values of NB and NX contained in the
|
|
* vectors NBVAL and NXVAL. The blocking parameters are used
|
|
* in pairs (NB,NX).
|
|
*
|
|
* NBVAL (input) INTEGER array, dimension (NNB)
|
|
* The values of the blocksize NB.
|
|
*
|
|
* NXVAL (input) INTEGER array, dimension (NNB)
|
|
* The values of the crossover point NX.
|
|
*
|
|
* 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) REAL
|
|
* The minimum time a subroutine will be timed.
|
|
*
|
|
* A (workspace) REAL array, dimension (LDAMAX*NMAX)
|
|
* where LDAMAX and NMAX are the maximum values of LDA and N.
|
|
*
|
|
* TAU (workspace) REAL array, dimension (min(M,N))
|
|
*
|
|
* B (workspace) REAL array, dimension (LDAMAX*NMAX)
|
|
*
|
|
* WORK (workspace) REAL array, dimension (LDAMAX*NBMAX)
|
|
* where NBMAX is the maximum value of NB.
|
|
*
|
|
* RESLTS (workspace) REAL array, dimension
|
|
* (LDR1,LDR2,LDR3,4*NN+3)
|
|
* The timing results for each subroutine over the relevant
|
|
* values of M, (NB,NX), LDA, and N.
|
|
*
|
|
* LDR1 (input) INTEGER
|
|
* The first dimension of RESLTS. LDR1 >= max(1,NNB).
|
|
*
|
|
* LDR2 (input) INTEGER
|
|
* The second dimension of RESLTS. LDR2 >= max(1,NM).
|
|
*
|
|
* LDR3 (input) INTEGER
|
|
* The third dimension of RESLTS. LDR3 >= max(1,NLDA).
|
|
*
|
|
* NOUT (input) INTEGER
|
|
* The unit number for output.
|
|
*
|
|
* Internal Parameters
|
|
* ===================
|
|
*
|
|
* MODE INTEGER
|
|
* The matrix type. MODE = 3 is a geometric distribution of
|
|
* eigenvalues. See CLATMS for further details.
|
|
*
|
|
* COND REAL
|
|
* The condition number of the matrix. The singular values are
|
|
* set to values from DMAX to DMAX/COND.
|
|
*
|
|
* DMAX REAL
|
|
* The magnitude of the largest singular value.
|
|
*
|
|
* =====================================================================
|
|
*
|
|
* .. Parameters ..
|
|
INTEGER NSUBS
|
|
PARAMETER ( NSUBS = 4 )
|
|
INTEGER MODE
|
|
REAL COND, DMAX
|
|
PARAMETER ( MODE = 3, COND = 100.0E0, DMAX = 1.0E0 )
|
|
* ..
|
|
* .. Local Scalars ..
|
|
CHARACTER LAB1, LAB2, SIDE, TRANS
|
|
CHARACTER*3 PATH
|
|
CHARACTER(32) CNAME
|
|
INTEGER I, I4, IC, ICL, IHI, ILDA, ILO, IM, IN, INB,
|
|
$ INFO, ISIDE, ISUB, ITOFF, ITRAN, LDA, LW, M,
|
|
$ M1, N, N1, NB, NX
|
|
REAL OPS, S1, S2, TIME, UNTIME
|
|
* ..
|
|
* .. Local Arrays ..
|
|
LOGICAL TIMSUB( NSUBS )
|
|
CHARACTER SIDES( 2 ), TRANSS( 2 )
|
|
CHARACTER(32) SUBNAM( NSUBS )
|
|
INTEGER ISEED( 4 ), RESEED( 4 )
|
|
* ..
|
|
* .. External Functions ..
|
|
INTEGER ILA_LEN_TRIM
|
|
EXTERNAL ILA_LEN_TRIM
|
|
REAL SECOND, SMFLOP, SOPLA
|
|
EXTERNAL SECOND, SMFLOP, SOPLA
|
|
* ..
|
|
* .. External Subroutines ..
|
|
EXTERNAL ATIMCK, ATIMIN, ICOPY, ORTHES, SGEHRD, SLACPY,
|
|
$ SLATMS, SORGHR, SORMHR, SPRTB3, SPRTBL, STIMMG,
|
|
$ XLAENV
|
|
* ..
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC MAX, REAL
|
|
* ..
|
|
* .. Data statements ..
|
|
DATA SUBNAM / 'SGEHRD', 'ORTHES', 'SORGHR',
|
|
$ 'SORMHR' /
|
|
DATA SIDES / 'L', 'R' / , TRANSS / 'N', 'T' /
|
|
DATA ISEED / 0, 0, 0, 1 /
|
|
* ..
|
|
* .. Executable Statements ..
|
|
*
|
|
* Extract the timing request from the input line.
|
|
*
|
|
PATH( 1: 1 ) = 'Single precision'
|
|
PATH( 2: 3 ) = 'HR'
|
|
CALL ATIMIN( PATH, LINE, NSUBS, SUBNAM, TIMSUB, NOUT, INFO )
|
|
IF( INFO.NE.0 )
|
|
$ GO TO 210
|
|
*
|
|
* Check that N <= LDA for the input values.
|
|
*
|
|
CNAME = LINE( 1: 6 )
|
|
CALL ATIMCK( 2, CNAME, NM, MVAL, NLDA, LDAVAL, NOUT, INFO )
|
|
IF( INFO.GT.0 ) THEN
|
|
WRITE( NOUT, FMT = 9999 )CNAME(1:ILA_LEN_TRIM(CNAME))
|
|
GO TO 210
|
|
END IF
|
|
*
|
|
* Check that K <= LDA for SORMHR
|
|
*
|
|
IF( TIMSUB( 4 ) ) THEN
|
|
CALL ATIMCK( 3, CNAME, NN, NVAL, NLDA, LDAVAL, NOUT, INFO )
|
|
IF( INFO.GT.0 ) THEN
|
|
WRITE( NOUT, FMT = 9999 )
|
|
$ SUBNAM( 4 )(1:ILA_LEN_TRIM( SUBNAM( 4 ) ))
|
|
TIMSUB( 4 ) = .FALSE.
|
|
END IF
|
|
END IF
|
|
*
|
|
* Do for each value of M:
|
|
*
|
|
DO 140 IM = 1, NM
|
|
M = MVAL( IM )
|
|
ILO = 1
|
|
IHI = M
|
|
CALL ICOPY( 4, ISEED, 1, RESEED, 1 )
|
|
*
|
|
* Do for each value of LDA:
|
|
*
|
|
DO 130 ILDA = 1, NLDA
|
|
LDA = LDAVAL( ILDA )
|
|
*
|
|
* Do for each pair of values (NB, NX) in NBVAL and NXVAL.
|
|
*
|
|
DO 120 INB = 1, NNB
|
|
NB = NBVAL( INB )
|
|
CALL XLAENV( 1, NB )
|
|
NX = NXVAL( INB )
|
|
CALL XLAENV( 3, NX )
|
|
LW = MAX( 1, M*MAX( 1, NB ) )
|
|
*
|
|
* Generate a test matrix of size M by M.
|
|
*
|
|
CALL ICOPY( 4, RESEED, 1, ISEED, 1 )
|
|
CALL SLATMS( M, M, 'Uniform', ISEED, 'Nonsym', TAU, MODE,
|
|
$ COND, DMAX, M, M, 'No packing', B, LDA,
|
|
$ WORK, INFO )
|
|
*
|
|
IF( TIMSUB( 2 ) .AND. INB.EQ.1 ) THEN
|
|
*
|
|
* ORTHES: Eispack reduction using orthogonal
|
|
* transformations.
|
|
*
|
|
CALL SLACPY( 'Full', M, M, B, LDA, A, LDA )
|
|
IC = 0
|
|
S1 = SECOND( )
|
|
10 CONTINUE
|
|
CALL ORTHES( LDA, M, 1, IHI, A, TAU )
|
|
S2 = SECOND( )
|
|
TIME = S2 - S1
|
|
IC = IC + 1
|
|
IF( TIME.LT.TIMMIN ) THEN
|
|
CALL SLACPY( 'Full', M, M, B, LDA, A, LDA )
|
|
GO TO 10
|
|
END IF
|
|
*
|
|
* Subtract the time used in SLACPY.
|
|
*
|
|
ICL = 1
|
|
S1 = SECOND( )
|
|
20 CONTINUE
|
|
S2 = SECOND( )
|
|
UNTIME = S2 - S1
|
|
ICL = ICL + 1
|
|
IF( ICL.LE.IC ) THEN
|
|
CALL SLACPY( 'Full', M, M, B, LDA, A, LDA )
|
|
GO TO 20
|
|
END IF
|
|
*
|
|
TIME = ( TIME-UNTIME ) / REAL( IC )
|
|
OPS = SOPLA( 'SGEHRD', M, ILO, IHI, 0, NB )
|
|
RESLTS( INB, IM, ILDA, 2 ) = SMFLOP( OPS, TIME, INFO )
|
|
END IF
|
|
*
|
|
IF( TIMSUB( 1 ) ) THEN
|
|
*
|
|
* SGEHRD: Reduction to Hesenberg form
|
|
*
|
|
CALL SLACPY( 'Full', M, M, B, LDA, A, LDA )
|
|
IC = 0
|
|
S1 = SECOND( )
|
|
30 CONTINUE
|
|
CALL SGEHRD( M, ILO, IHI, A, LDA, TAU, WORK, LW,
|
|
$ INFO )
|
|
S2 = SECOND( )
|
|
TIME = S2 - S1
|
|
IC = IC + 1
|
|
IF( TIME.LT.TIMMIN ) THEN
|
|
CALL SLACPY( 'Full', M, M, B, LDA, A, LDA )
|
|
GO TO 30
|
|
END IF
|
|
*
|
|
* Subtract the time used in SLACPY.
|
|
*
|
|
ICL = 1
|
|
S1 = SECOND( )
|
|
40 CONTINUE
|
|
S2 = SECOND( )
|
|
UNTIME = S2 - S1
|
|
ICL = ICL + 1
|
|
IF( ICL.LE.IC ) THEN
|
|
CALL SLACPY( 'Full', M, M, A, LDA, B, LDA )
|
|
GO TO 40
|
|
END IF
|
|
*
|
|
TIME = ( TIME-UNTIME ) / REAL( IC )
|
|
OPS = SOPLA( 'SGEHRD', M, ILO, IHI, 0, NB )
|
|
RESLTS( INB, IM, ILDA, 1 ) = SMFLOP( OPS, TIME, INFO )
|
|
ELSE
|
|
*
|
|
* If SGEHRD was not timed, generate a matrix and factor
|
|
* it using SGEHRD anyway so that the factored form of
|
|
* the matrix can be used in timing the other routines.
|
|
*
|
|
CALL SLACPY( 'Full', M, M, B, LDA, A, LDA )
|
|
CALL SGEHRD( M, ILO, IHI, A, LDA, TAU, WORK, LW,
|
|
$ INFO )
|
|
END IF
|
|
*
|
|
IF( TIMSUB( 3 ) ) THEN
|
|
*
|
|
* SORGHR: Generate the orthogonal matrix Q from the
|
|
* reduction to Hessenberg form A = Q*H*Q'
|
|
*
|
|
CALL SLACPY( 'Full', M, M, A, LDA, B, LDA )
|
|
IC = 0
|
|
S1 = SECOND( )
|
|
50 CONTINUE
|
|
CALL SORGHR( M, ILO, IHI, B, LDA, TAU, WORK, LW,
|
|
$ INFO )
|
|
S2 = SECOND( )
|
|
TIME = S2 - S1
|
|
IC = IC + 1
|
|
IF( TIME.LT.TIMMIN ) THEN
|
|
CALL SLACPY( 'Full', M, M, A, LDA, B, LDA )
|
|
GO TO 50
|
|
END IF
|
|
*
|
|
* Subtract the time used in SLACPY.
|
|
*
|
|
ICL = 1
|
|
S1 = SECOND( )
|
|
60 CONTINUE
|
|
S2 = SECOND( )
|
|
UNTIME = S2 - S1
|
|
ICL = ICL + 1
|
|
IF( ICL.LE.IC ) THEN
|
|
CALL SLACPY( 'Full', M, M, A, LDA, B, LDA )
|
|
GO TO 60
|
|
END IF
|
|
*
|
|
TIME = ( TIME-UNTIME ) / REAL( IC )
|
|
*
|
|
* Op count for SORGHR: same as
|
|
* SORGQR( IHI-ILO, IHI-ILO, IHI-ILO, ... )
|
|
*
|
|
OPS = SOPLA( 'SORGQR', IHI-ILO, IHI-ILO, IHI-ILO, 0,
|
|
$ NB )
|
|
RESLTS( INB, IM, ILDA, 3 ) = SMFLOP( OPS, TIME, INFO )
|
|
END IF
|
|
*
|
|
IF( TIMSUB( 4 ) ) THEN
|
|
*
|
|
* SORMHR: Multiply by Q stored as a product of
|
|
* elementary transformations
|
|
*
|
|
I4 = 3
|
|
DO 110 ISIDE = 1, 2
|
|
SIDE = SIDES( ISIDE )
|
|
DO 100 IN = 1, NN
|
|
N = NVAL( IN )
|
|
LW = MAX( 1, MAX( 1, NB )*N )
|
|
IF( ISIDE.EQ.1 ) THEN
|
|
M1 = M
|
|
N1 = N
|
|
ELSE
|
|
M1 = N
|
|
N1 = M
|
|
END IF
|
|
ITOFF = 0
|
|
DO 90 ITRAN = 1, 2
|
|
TRANS = TRANSS( ITRAN )
|
|
CALL STIMMG( 0, M1, N1, B, LDA, 0, 0 )
|
|
IC = 0
|
|
S1 = SECOND( )
|
|
70 CONTINUE
|
|
CALL SORMHR( SIDE, TRANS, M1, N1, ILO, IHI,
|
|
$ A, LDA, TAU, B, LDA, WORK, LW,
|
|
$ INFO )
|
|
S2 = SECOND( )
|
|
TIME = S2 - S1
|
|
IC = IC + 1
|
|
IF( TIME.LT.TIMMIN ) THEN
|
|
CALL STIMMG( 0, M1, N1, B, LDA, 0, 0 )
|
|
GO TO 70
|
|
END IF
|
|
*
|
|
* Subtract the time used in STIMMG.
|
|
*
|
|
ICL = 1
|
|
S1 = SECOND( )
|
|
80 CONTINUE
|
|
S2 = SECOND( )
|
|
UNTIME = S2 - S1
|
|
ICL = ICL + 1
|
|
IF( ICL.LE.IC ) THEN
|
|
CALL STIMMG( 0, M1, N1, B, LDA, 0, 0 )
|
|
GO TO 80
|
|
END IF
|
|
*
|
|
TIME = ( TIME-UNTIME ) / REAL( IC )
|
|
*
|
|
* Op count for SORMHR, SIDE='L': same as
|
|
* SORMQR( 'L', TRANS, IHI-ILO, N, IHI-ILO, ...)
|
|
*
|
|
* Op count for SORMHR, SIDE='R': same as
|
|
* SORMQR( 'R', TRANS, M, IHI-ILO, IHI-ILO, ...)
|
|
*
|
|
IF( ISIDE.EQ.1 ) THEN
|
|
OPS = SOPLA( 'SORMQR', IHI-ILO, N1,
|
|
$ IHI-ILO, -1, NB )
|
|
ELSE
|
|
OPS = SOPLA( 'SORMQR', M1, IHI-ILO,
|
|
$ IHI-ILO, 1, NB )
|
|
END IF
|
|
*
|
|
RESLTS( INB, IM, ILDA,
|
|
$ I4+ITOFF+IN ) = SMFLOP( OPS, TIME, INFO )
|
|
ITOFF = NN
|
|
90 CONTINUE
|
|
100 CONTINUE
|
|
I4 = I4 + 2*NN
|
|
110 CONTINUE
|
|
END IF
|
|
*
|
|
120 CONTINUE
|
|
130 CONTINUE
|
|
140 CONTINUE
|
|
*
|
|
* Print tables of results for SGEHRD, ORTHES, and SORGHR
|
|
*
|
|
DO 160 ISUB = 1, NSUBS - 1
|
|
IF( .NOT.TIMSUB( ISUB ) )
|
|
$ GO TO 160
|
|
WRITE( NOUT, FMT = 9998 )
|
|
$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) ))
|
|
IF( NLDA.GT.1 ) THEN
|
|
DO 150 I = 1, NLDA
|
|
WRITE( NOUT, FMT = 9997 )I, LDAVAL( I )
|
|
150 CONTINUE
|
|
END IF
|
|
WRITE( NOUT, FMT = 9995 )
|
|
IF( ISUB.EQ.2 ) THEN
|
|
CALL SPRTB3( ' ', 'N', 1, NBVAL, NXVAL, NM, MVAL, NLDA,
|
|
$ RESLTS( 1, 1, 1, ISUB ), LDR1, LDR2, NOUT )
|
|
ELSE
|
|
CALL SPRTB3( '( NB, NX)', 'N', NNB, NBVAL, NXVAL, NM,
|
|
$ MVAL, NLDA, RESLTS( 1, 1, 1, ISUB ), LDR1,
|
|
$ LDR2, NOUT )
|
|
END IF
|
|
160 CONTINUE
|
|
*
|
|
* Print tables of results for SORMHR
|
|
*
|
|
ISUB = 4
|
|
IF( TIMSUB( ISUB ) ) THEN
|
|
I4 = 3
|
|
DO 200 ISIDE = 1, 2
|
|
IF( ISIDE.EQ.1 ) THEN
|
|
LAB1 = 'M'
|
|
LAB2 = 'N'
|
|
IF( NLDA.GT.1 ) THEN
|
|
WRITE( NOUT, FMT = 9998 )
|
|
$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) ))
|
|
DO 170 I = 1, NLDA
|
|
WRITE( NOUT, FMT = 9997 )I, LDAVAL( I )
|
|
170 CONTINUE
|
|
WRITE( NOUT, FMT = 9994 )
|
|
END IF
|
|
ELSE
|
|
LAB1 = 'N'
|
|
LAB2 = 'M'
|
|
END IF
|
|
DO 190 ITRAN = 1, 2
|
|
DO 180 IN = 1, NN
|
|
WRITE( NOUT, FMT = 9996 )
|
|
$ SUBNAM( ISUB )(1:ILA_LEN_TRIM( SUBNAM( ISUB ) )),
|
|
$ SIDES( ISIDE ), TRANSS( ITRAN ), LAB2, NVAL( IN )
|
|
CALL SPRTBL( 'NB', LAB1, NNB, NBVAL, NM, MVAL, NLDA,
|
|
$ RESLTS( 1, 1, 1, I4+IN ), LDR1, LDR2,
|
|
$ NOUT )
|
|
180 CONTINUE
|
|
I4 = I4 + NN
|
|
190 CONTINUE
|
|
200 CONTINUE
|
|
END IF
|
|
210 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 SIDE = ''', A1, ''', TRANS = ''', A1,
|
|
$ ''', ', A1, ' =', I6, / )
|
|
9995 FORMAT( / 5X, 'ILO = 1, IHI = N', / )
|
|
9994 FORMAT( / 5X, 'ILO = 1, IHI = M if SIDE = ''L''', / 5X,
|
|
$ ' = N if SIDE = ''R''' )
|
|
RETURN
|
|
*
|
|
* End of STIMHR
|
|
*
|
|
END
|