2477 lines
85 KiB
Fortran
2477 lines
85 KiB
Fortran
PROGRAM DBLAT3
|
|
*
|
|
* Test program for the DOUBLE PRECISION Level 3 Blas.
|
|
*
|
|
* The program must be driven by a short data file. The first 13 records
|
|
* of the file are read using list-directed input, the last 6 records
|
|
* are read using the format ( A12, L2 ). An annotated example of a data
|
|
* file can be obtained by deleting the first 3 characters from the
|
|
* following 19 lines:
|
|
* 'DBLAT3.SNAP' NAME OF SNAPSHOT OUTPUT FILE
|
|
* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0)
|
|
* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD.
|
|
* F LOGICAL FLAG, T TO STOP ON FAILURES.
|
|
* T LOGICAL FLAG, T TO TEST ERROR EXITS.
|
|
* 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH
|
|
* 16.0 THRESHOLD VALUE OF TEST RATIO
|
|
* 6 NUMBER OF VALUES OF N
|
|
* 0 1 2 3 5 9 VALUES OF N
|
|
* 3 NUMBER OF VALUES OF ALPHA
|
|
* 0.0 1.0 0.7 VALUES OF ALPHA
|
|
* 3 NUMBER OF VALUES OF BETA
|
|
* 0.0 1.0 1.3 VALUES OF BETA
|
|
* cblas_dgemm T PUT F FOR NO TEST. SAME COLUMNS.
|
|
* cblas_dsymm T PUT F FOR NO TEST. SAME COLUMNS.
|
|
* cblas_dtrmm T PUT F FOR NO TEST. SAME COLUMNS.
|
|
* cblas_dtrsm T PUT F FOR NO TEST. SAME COLUMNS.
|
|
* cblas_dsyrk T PUT F FOR NO TEST. SAME COLUMNS.
|
|
* cblas_dsyr2k T PUT F FOR NO TEST. SAME COLUMNS.
|
|
*
|
|
* See:
|
|
*
|
|
* Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S.
|
|
* A Set of Level 3 Basic Linear Algebra Subprograms.
|
|
*
|
|
* Technical Memorandum No.88 (Revision 1), Mathematics and
|
|
* Computer Science Division, Argonne National Laboratory, 9700
|
|
* South Cass Avenue, Argonne, Illinois 60439, US.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Parameters ..
|
|
INTEGER NIN, NOUT
|
|
PARAMETER ( NIN = 5, NOUT = 6 )
|
|
INTEGER NSUBS
|
|
PARAMETER ( NSUBS = 6 )
|
|
DOUBLE PRECISION ZERO, HALF, ONE
|
|
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
|
|
INTEGER NMAX
|
|
PARAMETER ( NMAX = 65 )
|
|
INTEGER NIDMAX, NALMAX, NBEMAX
|
|
PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 )
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION EPS, ERR, THRESH
|
|
INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NTRA,
|
|
$ LAYOUT
|
|
LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
|
|
$ TSTERR, CORDER, RORDER
|
|
CHARACTER*1 TRANSA, TRANSB
|
|
CHARACTER*12 SNAMET
|
|
CHARACTER*32 SNAPS
|
|
* .. Local Arrays ..
|
|
DOUBLE PRECISION AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ),
|
|
$ ALF( NALMAX ), AS( NMAX*NMAX ),
|
|
$ BB( NMAX*NMAX ), BET( NBEMAX ),
|
|
$ BS( NMAX*NMAX ), C( NMAX, NMAX ),
|
|
$ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),
|
|
$ G( NMAX ), W( 2*NMAX )
|
|
INTEGER IDIM( NIDMAX )
|
|
LOGICAL LTEST( NSUBS )
|
|
CHARACTER*12 SNAMES( NSUBS )
|
|
* .. External Functions ..
|
|
DOUBLE PRECISION DDIFF
|
|
LOGICAL LDE
|
|
EXTERNAL DDIFF, LDE
|
|
* .. External Subroutines ..
|
|
EXTERNAL DCHK1, DCHK2, DCHK3, DCHK4, DCHK5, CD3CHKE,
|
|
$ DMMCH
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC MAX, MIN
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
CHARACTER*12 SRNAMT
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
COMMON /SRNAMC/SRNAMT
|
|
* .. Data statements ..
|
|
DATA SNAMES/'cblas_dgemm ', 'cblas_dsymm ',
|
|
$ 'cblas_dtrmm ', 'cblas_dtrsm ','cblas_dsyrk ',
|
|
$ 'cblas_dsyr2k'/
|
|
* .. Executable Statements ..
|
|
*
|
|
* Read name and unit number for summary output file and open file.
|
|
*
|
|
NOUTC = NOUT
|
|
* Read name and unit number for snapshot output file and open file.
|
|
*
|
|
READ( NIN, FMT = * )SNAPS
|
|
READ( NIN, FMT = * )NTRA
|
|
TRACE = NTRA.GE.0
|
|
IF( TRACE )THEN
|
|
OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' )
|
|
END IF
|
|
* Read the flag that directs rewinding of the snapshot file.
|
|
READ( NIN, FMT = * )REWI
|
|
REWI = REWI.AND.TRACE
|
|
* Read the flag that directs stopping on any failure.
|
|
READ( NIN, FMT = * )SFATAL
|
|
* Read the flag that indicates whether error exits are to be tested.
|
|
READ( NIN, FMT = * )TSTERR
|
|
* Read the flag that indicates whether row-major data layout to be tested.
|
|
READ( NIN, FMT = * )LAYOUT
|
|
* Read the threshold value of the test ratio
|
|
READ( NIN, FMT = * )THRESH
|
|
*
|
|
* Read and check the parameter values for the tests.
|
|
*
|
|
* Values of N
|
|
READ( NIN, FMT = * )NIDIM
|
|
IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
|
|
WRITE( NOUT, FMT = 9997 )'N', NIDMAX
|
|
GO TO 220
|
|
END IF
|
|
READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
|
|
DO 10 I = 1, NIDIM
|
|
IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
|
|
WRITE( NOUT, FMT = 9996 )NMAX
|
|
GO TO 220
|
|
END IF
|
|
10 CONTINUE
|
|
* Values of ALPHA
|
|
READ( NIN, FMT = * )NALF
|
|
IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
|
|
WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
|
|
GO TO 220
|
|
END IF
|
|
READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
|
|
* Values of BETA
|
|
READ( NIN, FMT = * )NBET
|
|
IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
|
|
WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
|
|
GO TO 220
|
|
END IF
|
|
READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
|
|
*
|
|
* Report values of parameters.
|
|
*
|
|
WRITE( NOUT, FMT = 9995 )
|
|
WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM )
|
|
WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF )
|
|
WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET )
|
|
IF( .NOT.TSTERR )THEN
|
|
WRITE( NOUT, FMT = * )
|
|
WRITE( NOUT, FMT = 9984 )
|
|
END IF
|
|
WRITE( NOUT, FMT = * )
|
|
WRITE( NOUT, FMT = 9999 )THRESH
|
|
WRITE( NOUT, FMT = * )
|
|
|
|
RORDER = .FALSE.
|
|
CORDER = .FALSE.
|
|
IF (LAYOUT.EQ.2) THEN
|
|
RORDER = .TRUE.
|
|
CORDER = .TRUE.
|
|
WRITE( *, FMT = 10002 )
|
|
ELSE IF (LAYOUT.EQ.1) THEN
|
|
RORDER = .TRUE.
|
|
WRITE( *, FMT = 10001 )
|
|
ELSE IF (LAYOUT.EQ.0) THEN
|
|
CORDER = .TRUE.
|
|
WRITE( *, FMT = 10000 )
|
|
END IF
|
|
WRITE( *, FMT = * )
|
|
|
|
*
|
|
* Read names of subroutines and flags which indicate
|
|
* whether they are to be tested.
|
|
*
|
|
DO 20 I = 1, NSUBS
|
|
LTEST( I ) = .FALSE.
|
|
20 CONTINUE
|
|
30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT
|
|
DO 40 I = 1, NSUBS
|
|
IF( SNAMET.EQ.SNAMES( I ) )
|
|
$ GO TO 50
|
|
40 CONTINUE
|
|
WRITE( NOUT, FMT = 9990 )SNAMET
|
|
STOP
|
|
50 LTEST( I ) = LTESTT
|
|
GO TO 30
|
|
*
|
|
60 CONTINUE
|
|
CLOSE ( NIN )
|
|
*
|
|
* Compute EPS (the machine precision).
|
|
*
|
|
EPS = ONE
|
|
70 CONTINUE
|
|
IF( DDIFF( ONE + EPS, ONE ).EQ.ZERO )
|
|
$ GO TO 80
|
|
EPS = HALF*EPS
|
|
GO TO 70
|
|
80 CONTINUE
|
|
EPS = EPS + EPS
|
|
WRITE( NOUT, FMT = 9998 )EPS
|
|
*
|
|
* Check the reliability of DMMCH using exact data.
|
|
*
|
|
N = MIN( 32, NMAX )
|
|
DO 100 J = 1, N
|
|
DO 90 I = 1, N
|
|
AB( I, J ) = MAX( I - J + 1, 0 )
|
|
90 CONTINUE
|
|
AB( J, NMAX + 1 ) = J
|
|
AB( 1, NMAX + J ) = J
|
|
C( J, 1 ) = ZERO
|
|
100 CONTINUE
|
|
DO 110 J = 1, N
|
|
CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
|
|
110 CONTINUE
|
|
* CC holds the exact result. On exit from DMMCH CT holds
|
|
* the result computed by DMMCH.
|
|
TRANSA = 'N'
|
|
TRANSB = 'N'
|
|
CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
|
|
$ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
|
|
$ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
|
|
SAME = LDE( CC, CT, N )
|
|
IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
|
|
WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
|
|
STOP
|
|
END IF
|
|
TRANSB = 'T'
|
|
CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
|
|
$ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
|
|
$ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
|
|
SAME = LDE( CC, CT, N )
|
|
IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
|
|
WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
|
|
STOP
|
|
END IF
|
|
DO 120 J = 1, N
|
|
AB( J, NMAX + 1 ) = N - J + 1
|
|
AB( 1, NMAX + J ) = N - J + 1
|
|
120 CONTINUE
|
|
DO 130 J = 1, N
|
|
CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 -
|
|
$ ( ( J + 1 )*J*( J - 1 ) )/3
|
|
130 CONTINUE
|
|
TRANSA = 'T'
|
|
TRANSB = 'N'
|
|
CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
|
|
$ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
|
|
$ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
|
|
SAME = LDE( CC, CT, N )
|
|
IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
|
|
WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
|
|
STOP
|
|
END IF
|
|
TRANSB = 'T'
|
|
CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
|
|
$ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
|
|
$ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
|
|
SAME = LDE( CC, CT, N )
|
|
IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
|
|
WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
|
|
STOP
|
|
END IF
|
|
*
|
|
* Test each subroutine in turn.
|
|
*
|
|
DO 200 ISNUM = 1, NSUBS
|
|
WRITE( NOUT, FMT = * )
|
|
IF( .NOT.LTEST( ISNUM ) )THEN
|
|
* Subprogram is not to be tested.
|
|
WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM )
|
|
ELSE
|
|
SRNAMT = SNAMES( ISNUM )
|
|
* Test error exits.
|
|
IF( TSTERR )THEN
|
|
CALL CD3CHKE( SNAMES( ISNUM ) )
|
|
WRITE( NOUT, FMT = * )
|
|
END IF
|
|
* Test computations.
|
|
INFOT = 0
|
|
OK = .TRUE.
|
|
FATAL = .FALSE.
|
|
GO TO ( 140, 150, 160, 160, 170, 180 )ISNUM
|
|
* Test DGEMM, 01.
|
|
140 IF (CORDER) THEN
|
|
CALL DCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
|
|
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
|
|
$ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
|
|
$ CC, CS, CT, G, 0 )
|
|
END IF
|
|
IF (RORDER) THEN
|
|
CALL DCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
|
|
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
|
|
$ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
|
|
$ CC, CS, CT, G, 1 )
|
|
END IF
|
|
GO TO 190
|
|
* Test DSYMM, 02.
|
|
150 IF (CORDER) THEN
|
|
CALL DCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
|
|
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
|
|
$ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
|
|
$ CC, CS, CT, G, 0 )
|
|
END IF
|
|
IF (RORDER) THEN
|
|
CALL DCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
|
|
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
|
|
$ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
|
|
$ CC, CS, CT, G, 1 )
|
|
END IF
|
|
GO TO 190
|
|
* Test DTRMM, 03, DTRSM, 04.
|
|
160 IF (CORDER) THEN
|
|
CALL DCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
|
|
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB,
|
|
$ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C,
|
|
$ 0 )
|
|
END IF
|
|
IF (RORDER) THEN
|
|
CALL DCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
|
|
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB,
|
|
$ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C,
|
|
$ 1 )
|
|
END IF
|
|
GO TO 190
|
|
* Test DSYRK, 05.
|
|
170 IF (CORDER) THEN
|
|
CALL DCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
|
|
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
|
|
$ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
|
|
$ CC, CS, CT, G, 0 )
|
|
END IF
|
|
IF (RORDER) THEN
|
|
CALL DCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
|
|
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
|
|
$ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
|
|
$ CC, CS, CT, G, 1 )
|
|
END IF
|
|
GO TO 190
|
|
* Test DSYR2K, 06.
|
|
180 IF (CORDER) THEN
|
|
CALL DCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
|
|
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
|
|
$ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
|
|
$ 0 )
|
|
END IF
|
|
IF (RORDER) THEN
|
|
CALL DCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
|
|
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
|
|
$ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
|
|
$ 1 )
|
|
END IF
|
|
GO TO 190
|
|
*
|
|
190 IF( FATAL.AND.SFATAL )
|
|
$ GO TO 210
|
|
END IF
|
|
200 CONTINUE
|
|
WRITE( NOUT, FMT = 9986 )
|
|
GO TO 230
|
|
*
|
|
210 CONTINUE
|
|
WRITE( NOUT, FMT = 9985 )
|
|
GO TO 230
|
|
*
|
|
220 CONTINUE
|
|
WRITE( NOUT, FMT = 9991 )
|
|
*
|
|
230 CONTINUE
|
|
IF( TRACE )
|
|
$ CLOSE ( NTRA )
|
|
CLOSE ( NOUT )
|
|
STOP
|
|
*
|
|
10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
|
|
10001 FORMAT( ' ROW-MAJOR DATA LAYOUT IS TESTED' )
|
|
10000 FORMAT( ' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
|
|
9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
|
|
$ 'S THAN', F8.2 )
|
|
9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, D9.1 )
|
|
9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
|
|
$ 'THAN ', I2 )
|
|
9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
|
|
9995 FORMAT( ' TESTS OF THE DOUBLE PRECISION LEVEL 3 BLAS', //' THE F',
|
|
$ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
|
|
9994 FORMAT( ' FOR N ', 9I6 )
|
|
9993 FORMAT( ' FOR ALPHA ', 7F6.1 )
|
|
9992 FORMAT( ' FOR BETA ', 7F6.1 )
|
|
9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
|
|
$ /' ******* TESTS ABANDONED *******' )
|
|
9990 FORMAT( ' SUBPROGRAM NAME ', A12,' NOT RECOGNIZED', /' ******* T',
|
|
$ 'ESTS ABANDONED *******' )
|
|
9989 FORMAT( ' ERROR IN DMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
|
|
$ 'ATED WRONGLY.', /' DMMCH WAS CALLED WITH TRANSA = ', A1,
|
|
$ ' AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ',
|
|
$ 'ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ',
|
|
$ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ',
|
|
$ '*******' )
|
|
9988 FORMAT( A12,L2 )
|
|
9987 FORMAT( 1X, A12,' WAS NOT TESTED' )
|
|
9986 FORMAT( /' END OF TESTS' )
|
|
9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
|
|
9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
|
|
*
|
|
* End of DBLAT3.
|
|
*
|
|
END
|
|
SUBROUTINE DCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
|
|
$ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, IORDER)
|
|
*
|
|
* Tests DGEMM.
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Parameters ..
|
|
DOUBLE PRECISION ZERO
|
|
PARAMETER ( ZERO = 0.0D0 )
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION EPS, THRESH
|
|
INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
|
|
$ AS( NMAX*NMAX ), B( NMAX, NMAX ),
|
|
$ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
|
|
$ C( NMAX, NMAX ), CC( NMAX*NMAX ),
|
|
$ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX )
|
|
INTEGER IDIM( NIDIM )
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX
|
|
INTEGER I, IA, IB, ICA, ICB, IK, IM, IN, K, KS, LAA,
|
|
$ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M,
|
|
$ MA, MB, MS, N, NA, NARGS, NB, NC, NS
|
|
LOGICAL NULL, RESET, SAME, TRANA, TRANB
|
|
CHARACTER*1 TRANAS, TRANBS, TRANSA, TRANSB
|
|
CHARACTER*3 ICH
|
|
* .. Local Arrays ..
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LDE, LDERES
|
|
EXTERNAL LDE, LDERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL CDGEMM, DMAKE, DMMCH
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC MAX
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Data statements ..
|
|
DATA ICH/'NTC'/
|
|
* .. Executable Statements ..
|
|
*
|
|
NARGS = 13
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
*
|
|
DO 110 IM = 1, NIDIM
|
|
M = IDIM( IM )
|
|
*
|
|
DO 100 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
* Set LDC to 1 more than minimum value if room.
|
|
LDC = M
|
|
IF( LDC.LT.NMAX )
|
|
$ LDC = LDC + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDC.GT.NMAX )
|
|
$ GO TO 100
|
|
LCC = LDC*N
|
|
NULL = N.LE.0.OR.M.LE.0
|
|
*
|
|
DO 90 IK = 1, NIDIM
|
|
K = IDIM( IK )
|
|
*
|
|
DO 80 ICA = 1, 3
|
|
TRANSA = ICH( ICA: ICA )
|
|
TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C'
|
|
*
|
|
IF( TRANA )THEN
|
|
MA = K
|
|
NA = M
|
|
ELSE
|
|
MA = M
|
|
NA = K
|
|
END IF
|
|
* Set LDA to 1 more than minimum value if room.
|
|
LDA = MA
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 80
|
|
LAA = LDA*NA
|
|
*
|
|
* Generate the matrix A.
|
|
*
|
|
CALL DMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA,
|
|
$ RESET, ZERO )
|
|
*
|
|
DO 70 ICB = 1, 3
|
|
TRANSB = ICH( ICB: ICB )
|
|
TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C'
|
|
*
|
|
IF( TRANB )THEN
|
|
MB = N
|
|
NB = K
|
|
ELSE
|
|
MB = K
|
|
NB = N
|
|
END IF
|
|
* Set LDB to 1 more than minimum value if room.
|
|
LDB = MB
|
|
IF( LDB.LT.NMAX )
|
|
$ LDB = LDB + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDB.GT.NMAX )
|
|
$ GO TO 70
|
|
LBB = LDB*NB
|
|
*
|
|
* Generate the matrix B.
|
|
*
|
|
CALL DMAKE( 'GE', ' ', ' ', MB, NB, B, NMAX, BB,
|
|
$ LDB, RESET, ZERO )
|
|
*
|
|
DO 60 IA = 1, NALF
|
|
ALPHA = ALF( IA )
|
|
*
|
|
DO 50 IB = 1, NBET
|
|
BETA = BET( IB )
|
|
*
|
|
* Generate the matrix C.
|
|
*
|
|
CALL DMAKE( 'GE', ' ', ' ', M, N, C, NMAX,
|
|
$ CC, LDC, RESET, ZERO )
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the
|
|
* subroutine.
|
|
*
|
|
TRANAS = TRANSA
|
|
TRANBS = TRANSB
|
|
MS = M
|
|
NS = N
|
|
KS = K
|
|
ALS = ALPHA
|
|
DO 10 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
10 CONTINUE
|
|
LDAS = LDA
|
|
DO 20 I = 1, LBB
|
|
BS( I ) = BB( I )
|
|
20 CONTINUE
|
|
LDBS = LDB
|
|
BLS = BETA
|
|
DO 30 I = 1, LCC
|
|
CS( I ) = CC( I )
|
|
30 CONTINUE
|
|
LDCS = LDC
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( TRACE )
|
|
$ CALL DPRCN1(NTRA, NC, SNAME, IORDER,
|
|
$ TRANSA, TRANSB, M, N, K, ALPHA, LDA,
|
|
$ LDB, BETA, LDC)
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CDGEMM( IORDER, TRANSA, TRANSB, M, N,
|
|
$ K, ALPHA, AA, LDA, BB, LDB,
|
|
$ BETA, CC, LDC )
|
|
*
|
|
* Check if error-exit was taken incorrectly.
|
|
*
|
|
IF( .NOT.OK )THEN
|
|
WRITE( NOUT, FMT = 9994 )
|
|
FATAL = .TRUE.
|
|
GO TO 120
|
|
END IF
|
|
*
|
|
* See what data changed inside subroutines.
|
|
*
|
|
ISAME( 1 ) = TRANSA.EQ.TRANAS
|
|
ISAME( 2 ) = TRANSB.EQ.TRANBS
|
|
ISAME( 3 ) = MS.EQ.M
|
|
ISAME( 4 ) = NS.EQ.N
|
|
ISAME( 5 ) = KS.EQ.K
|
|
ISAME( 6 ) = ALS.EQ.ALPHA
|
|
ISAME( 7 ) = LDE( AS, AA, LAA )
|
|
ISAME( 8 ) = LDAS.EQ.LDA
|
|
ISAME( 9 ) = LDE( BS, BB, LBB )
|
|
ISAME( 10 ) = LDBS.EQ.LDB
|
|
ISAME( 11 ) = BLS.EQ.BETA
|
|
IF( NULL )THEN
|
|
ISAME( 12 ) = LDE( CS, CC, LCC )
|
|
ELSE
|
|
ISAME( 12 ) = LDERES( 'GE', ' ', M, N, CS,
|
|
$ CC, LDC )
|
|
END IF
|
|
ISAME( 13 ) = LDCS.EQ.LDC
|
|
*
|
|
* If data was incorrectly changed, report
|
|
* and return.
|
|
*
|
|
SAME = .TRUE.
|
|
DO 40 I = 1, NARGS
|
|
SAME = SAME.AND.ISAME( I )
|
|
IF( .NOT.ISAME( I ) )
|
|
$ WRITE( NOUT, FMT = 9998 )I
|
|
40 CONTINUE
|
|
IF( .NOT.SAME )THEN
|
|
FATAL = .TRUE.
|
|
GO TO 120
|
|
END IF
|
|
*
|
|
IF( .NOT.NULL )THEN
|
|
*
|
|
* Check the result.
|
|
*
|
|
CALL DMMCH( TRANSA, TRANSB, M, N, K,
|
|
$ ALPHA, A, NMAX, B, NMAX, BETA,
|
|
$ C, NMAX, CT, G, CC, LDC, EPS,
|
|
$ ERR, FATAL, NOUT, .TRUE. )
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and
|
|
* return.
|
|
IF( FATAL )
|
|
$ GO TO 120
|
|
END IF
|
|
*
|
|
50 CONTINUE
|
|
*
|
|
60 CONTINUE
|
|
*
|
|
70 CONTINUE
|
|
*
|
|
80 CONTINUE
|
|
*
|
|
90 CONTINUE
|
|
*
|
|
100 CONTINUE
|
|
*
|
|
110 CONTINUE
|
|
*
|
|
* Report result.
|
|
*
|
|
IF( ERRMAX.LT.THRESH )THEN
|
|
IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
|
|
IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
|
|
ELSE
|
|
IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
|
|
IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
|
|
END IF
|
|
GO TO 130
|
|
*
|
|
120 CONTINUE
|
|
WRITE( NOUT, FMT = 9996 )SNAME
|
|
CALL DPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB,
|
|
$ M, N, K, ALPHA, LDA, LDB, BETA, LDC)
|
|
*
|
|
130 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( 1X, I6, ': ', A12,'(''', A1, ''',''', A1, ''',',
|
|
$ 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', ',
|
|
$ 'C,', I3, ').' )
|
|
9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of DCHK1.
|
|
*
|
|
END
|
|
SUBROUTINE DPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, M, N,
|
|
$ K, ALPHA, LDA, LDB, BETA, LDC)
|
|
INTEGER NOUT, NC, IORDER, M, N, K, LDA, LDB, LDC
|
|
DOUBLE PRECISION ALPHA, BETA
|
|
CHARACTER*1 TRANSA, TRANSB
|
|
CHARACTER*12 SNAME
|
|
CHARACTER*14 CRC, CTA,CTB
|
|
|
|
IF (TRANSA.EQ.'N')THEN
|
|
CTA = ' CblasNoTrans'
|
|
ELSE IF (TRANSA.EQ.'T')THEN
|
|
CTA = ' CblasTrans'
|
|
ELSE
|
|
CTA = 'CblasConjTrans'
|
|
END IF
|
|
IF (TRANSB.EQ.'N')THEN
|
|
CTB = ' CblasNoTrans'
|
|
ELSE IF (TRANSB.EQ.'T')THEN
|
|
CTB = ' CblasTrans'
|
|
ELSE
|
|
CTB = 'CblasConjTrans'
|
|
END IF
|
|
IF (IORDER.EQ.1)THEN
|
|
CRC = ' CblasRowMajor'
|
|
ELSE
|
|
CRC = ' CblasColMajor'
|
|
END IF
|
|
WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CTA,CTB
|
|
WRITE(NOUT, FMT = 9994)M, N, K, ALPHA, LDA, LDB, BETA, LDC
|
|
|
|
9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
|
|
9994 FORMAT( 20X, 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',',
|
|
$ F4.1, ', ', 'C,', I3, ').' )
|
|
END
|
|
*
|
|
SUBROUTINE DCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
|
|
$ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, IORDER)
|
|
*
|
|
* Tests DSYMM.
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Parameters ..
|
|
DOUBLE PRECISION ZERO
|
|
PARAMETER ( ZERO = 0.0D0 )
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION EPS, THRESH
|
|
INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
|
|
$ AS( NMAX*NMAX ), B( NMAX, NMAX ),
|
|
$ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
|
|
$ C( NMAX, NMAX ), CC( NMAX*NMAX ),
|
|
$ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX )
|
|
INTEGER IDIM( NIDIM )
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX
|
|
INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC,
|
|
$ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA,
|
|
$ NARGS, NC, NS
|
|
LOGICAL LEFT, NULL, RESET, SAME
|
|
CHARACTER*1 SIDE, SIDES, UPLO, UPLOS
|
|
CHARACTER*2 ICHS, ICHU
|
|
* .. Local Arrays ..
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LDE, LDERES
|
|
EXTERNAL LDE, LDERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL DMAKE, DMMCH, CDSYMM
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC MAX
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Data statements ..
|
|
DATA ICHS/'LR'/, ICHU/'UL'/
|
|
* .. Executable Statements ..
|
|
*
|
|
NARGS = 12
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
*
|
|
DO 100 IM = 1, NIDIM
|
|
M = IDIM( IM )
|
|
*
|
|
DO 90 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
* Set LDC to 1 more than minimum value if room.
|
|
LDC = M
|
|
IF( LDC.LT.NMAX )
|
|
$ LDC = LDC + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDC.GT.NMAX )
|
|
$ GO TO 90
|
|
LCC = LDC*N
|
|
NULL = N.LE.0.OR.M.LE.0
|
|
*
|
|
* Set LDB to 1 more than minimum value if room.
|
|
LDB = M
|
|
IF( LDB.LT.NMAX )
|
|
$ LDB = LDB + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDB.GT.NMAX )
|
|
$ GO TO 90
|
|
LBB = LDB*N
|
|
*
|
|
* Generate the matrix B.
|
|
*
|
|
CALL DMAKE( 'GE', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET,
|
|
$ ZERO )
|
|
*
|
|
DO 80 ICS = 1, 2
|
|
SIDE = ICHS( ICS: ICS )
|
|
LEFT = SIDE.EQ.'L'
|
|
*
|
|
IF( LEFT )THEN
|
|
NA = M
|
|
ELSE
|
|
NA = N
|
|
END IF
|
|
* Set LDA to 1 more than minimum value if room.
|
|
LDA = NA
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 80
|
|
LAA = LDA*NA
|
|
*
|
|
DO 70 ICU = 1, 2
|
|
UPLO = ICHU( ICU: ICU )
|
|
*
|
|
* Generate the symmetric matrix A.
|
|
*
|
|
CALL DMAKE( 'SY', UPLO, ' ', NA, NA, A, NMAX, AA, LDA,
|
|
$ RESET, ZERO )
|
|
*
|
|
DO 60 IA = 1, NALF
|
|
ALPHA = ALF( IA )
|
|
*
|
|
DO 50 IB = 1, NBET
|
|
BETA = BET( IB )
|
|
*
|
|
* Generate the matrix C.
|
|
*
|
|
CALL DMAKE( 'GE', ' ', ' ', M, N, C, NMAX, CC,
|
|
$ LDC, RESET, ZERO )
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the
|
|
* subroutine.
|
|
*
|
|
SIDES = SIDE
|
|
UPLOS = UPLO
|
|
MS = M
|
|
NS = N
|
|
ALS = ALPHA
|
|
DO 10 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
10 CONTINUE
|
|
LDAS = LDA
|
|
DO 20 I = 1, LBB
|
|
BS( I ) = BB( I )
|
|
20 CONTINUE
|
|
LDBS = LDB
|
|
BLS = BETA
|
|
DO 30 I = 1, LCC
|
|
CS( I ) = CC( I )
|
|
30 CONTINUE
|
|
LDCS = LDC
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( TRACE )
|
|
$ CALL DPRCN2(NTRA, NC, SNAME, IORDER,
|
|
$ SIDE, UPLO, M, N, ALPHA, LDA, LDB,
|
|
$ BETA, LDC)
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CDSYMM( IORDER, SIDE, UPLO, M, N, ALPHA,
|
|
$ AA, LDA, BB, LDB, BETA, CC, LDC )
|
|
*
|
|
* Check if error-exit was taken incorrectly.
|
|
*
|
|
IF( .NOT.OK )THEN
|
|
WRITE( NOUT, FMT = 9994 )
|
|
FATAL = .TRUE.
|
|
GO TO 110
|
|
END IF
|
|
*
|
|
* See what data changed inside subroutines.
|
|
*
|
|
ISAME( 1 ) = SIDES.EQ.SIDE
|
|
ISAME( 2 ) = UPLOS.EQ.UPLO
|
|
ISAME( 3 ) = MS.EQ.M
|
|
ISAME( 4 ) = NS.EQ.N
|
|
ISAME( 5 ) = ALS.EQ.ALPHA
|
|
ISAME( 6 ) = LDE( AS, AA, LAA )
|
|
ISAME( 7 ) = LDAS.EQ.LDA
|
|
ISAME( 8 ) = LDE( BS, BB, LBB )
|
|
ISAME( 9 ) = LDBS.EQ.LDB
|
|
ISAME( 10 ) = BLS.EQ.BETA
|
|
IF( NULL )THEN
|
|
ISAME( 11 ) = LDE( CS, CC, LCC )
|
|
ELSE
|
|
ISAME( 11 ) = LDERES( 'GE', ' ', M, N, CS,
|
|
$ CC, LDC )
|
|
END IF
|
|
ISAME( 12 ) = LDCS.EQ.LDC
|
|
*
|
|
* If data was incorrectly changed, report and
|
|
* return.
|
|
*
|
|
SAME = .TRUE.
|
|
DO 40 I = 1, NARGS
|
|
SAME = SAME.AND.ISAME( I )
|
|
IF( .NOT.ISAME( I ) )
|
|
$ WRITE( NOUT, FMT = 9998 )I
|
|
40 CONTINUE
|
|
IF( .NOT.SAME )THEN
|
|
FATAL = .TRUE.
|
|
GO TO 110
|
|
END IF
|
|
*
|
|
IF( .NOT.NULL )THEN
|
|
*
|
|
* Check the result.
|
|
*
|
|
IF( LEFT )THEN
|
|
CALL DMMCH( 'N', 'N', M, N, M, ALPHA, A,
|
|
$ NMAX, B, NMAX, BETA, C, NMAX,
|
|
$ CT, G, CC, LDC, EPS, ERR,
|
|
$ FATAL, NOUT, .TRUE. )
|
|
ELSE
|
|
CALL DMMCH( 'N', 'N', M, N, N, ALPHA, B,
|
|
$ NMAX, A, NMAX, BETA, C, NMAX,
|
|
$ CT, G, CC, LDC, EPS, ERR,
|
|
$ FATAL, NOUT, .TRUE. )
|
|
END IF
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and
|
|
* return.
|
|
IF( FATAL )
|
|
$ GO TO 110
|
|
END IF
|
|
*
|
|
50 CONTINUE
|
|
*
|
|
60 CONTINUE
|
|
*
|
|
70 CONTINUE
|
|
*
|
|
80 CONTINUE
|
|
*
|
|
90 CONTINUE
|
|
*
|
|
100 CONTINUE
|
|
*
|
|
* Report result.
|
|
*
|
|
IF( ERRMAX.LT.THRESH )THEN
|
|
IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
|
|
IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
|
|
ELSE
|
|
IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
|
|
IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
|
|
END IF
|
|
GO TO 120
|
|
*
|
|
110 CONTINUE
|
|
WRITE( NOUT, FMT = 9996 )SNAME
|
|
CALL DPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, ALPHA, LDA,
|
|
$ LDB, BETA, LDC)
|
|
*
|
|
120 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
|
|
$ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ',
|
|
$ ' .' )
|
|
9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of DCHK2.
|
|
*
|
|
END
|
|
*
|
|
SUBROUTINE DPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N,
|
|
$ ALPHA, LDA, LDB, BETA, LDC)
|
|
INTEGER NOUT, NC, IORDER, M, N, LDA, LDB, LDC
|
|
DOUBLE PRECISION ALPHA, BETA
|
|
CHARACTER*1 SIDE, UPLO
|
|
CHARACTER*12 SNAME
|
|
CHARACTER*14 CRC, CS,CU
|
|
|
|
IF (SIDE.EQ.'L')THEN
|
|
CS = ' CblasLeft'
|
|
ELSE
|
|
CS = ' CblasRight'
|
|
END IF
|
|
IF (UPLO.EQ.'U')THEN
|
|
CU = ' CblasUpper'
|
|
ELSE
|
|
CU = ' CblasLower'
|
|
END IF
|
|
IF (IORDER.EQ.1)THEN
|
|
CRC = ' CblasRowMajor'
|
|
ELSE
|
|
CRC = ' CblasColMajor'
|
|
END IF
|
|
WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
|
|
WRITE(NOUT, FMT = 9994)M, N, ALPHA, LDA, LDB, BETA, LDC
|
|
|
|
9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
|
|
9994 FORMAT( 20X, 2( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',',
|
|
$ F4.1, ', ', 'C,', I3, ').' )
|
|
END
|
|
*
|
|
SUBROUTINE DCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS,
|
|
$ B, BB, BS, CT, G, C, IORDER )
|
|
*
|
|
* Tests DTRMM and DTRSM.
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Parameters ..
|
|
DOUBLE PRECISION ZERO, ONE
|
|
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION EPS, THRESH
|
|
INTEGER NALF, NIDIM, NMAX, NOUT, NTRA, IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
|
|
$ AS( NMAX*NMAX ), B( NMAX, NMAX ),
|
|
$ BB( NMAX*NMAX ), BS( NMAX*NMAX ),
|
|
$ C( NMAX, NMAX ), CT( NMAX ), G( NMAX )
|
|
INTEGER IDIM( NIDIM )
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX
|
|
INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB,
|
|
$ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC,
|
|
$ NS
|
|
LOGICAL LEFT, NULL, RESET, SAME
|
|
CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO,
|
|
$ UPLOS
|
|
CHARACTER*2 ICHD, ICHS, ICHU
|
|
CHARACTER*3 ICHT
|
|
* .. Local Arrays ..
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LDE, LDERES
|
|
EXTERNAL LDE, LDERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL DMAKE, DMMCH, CDTRMM, CDTRSM
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC MAX
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Data statements ..
|
|
DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/
|
|
* .. Executable Statements ..
|
|
*
|
|
NARGS = 11
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
* Set up zero matrix for DMMCH.
|
|
DO 20 J = 1, NMAX
|
|
DO 10 I = 1, NMAX
|
|
C( I, J ) = ZERO
|
|
10 CONTINUE
|
|
20 CONTINUE
|
|
*
|
|
DO 140 IM = 1, NIDIM
|
|
M = IDIM( IM )
|
|
*
|
|
DO 130 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
* Set LDB to 1 more than minimum value if room.
|
|
LDB = M
|
|
IF( LDB.LT.NMAX )
|
|
$ LDB = LDB + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDB.GT.NMAX )
|
|
$ GO TO 130
|
|
LBB = LDB*N
|
|
NULL = M.LE.0.OR.N.LE.0
|
|
*
|
|
DO 120 ICS = 1, 2
|
|
SIDE = ICHS( ICS: ICS )
|
|
LEFT = SIDE.EQ.'L'
|
|
IF( LEFT )THEN
|
|
NA = M
|
|
ELSE
|
|
NA = N
|
|
END IF
|
|
* Set LDA to 1 more than minimum value if room.
|
|
LDA = NA
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 130
|
|
LAA = LDA*NA
|
|
*
|
|
DO 110 ICU = 1, 2
|
|
UPLO = ICHU( ICU: ICU )
|
|
*
|
|
DO 100 ICT = 1, 3
|
|
TRANSA = ICHT( ICT: ICT )
|
|
*
|
|
DO 90 ICD = 1, 2
|
|
DIAG = ICHD( ICD: ICD )
|
|
*
|
|
DO 80 IA = 1, NALF
|
|
ALPHA = ALF( IA )
|
|
*
|
|
* Generate the matrix A.
|
|
*
|
|
CALL DMAKE( 'TR', UPLO, DIAG, NA, NA, A,
|
|
$ NMAX, AA, LDA, RESET, ZERO )
|
|
*
|
|
* Generate the matrix B.
|
|
*
|
|
CALL DMAKE( 'GE', ' ', ' ', M, N, B, NMAX,
|
|
$ BB, LDB, RESET, ZERO )
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the
|
|
* subroutine.
|
|
*
|
|
SIDES = SIDE
|
|
UPLOS = UPLO
|
|
TRANAS = TRANSA
|
|
DIAGS = DIAG
|
|
MS = M
|
|
NS = N
|
|
ALS = ALPHA
|
|
DO 30 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
30 CONTINUE
|
|
LDAS = LDA
|
|
DO 40 I = 1, LBB
|
|
BS( I ) = BB( I )
|
|
40 CONTINUE
|
|
LDBS = LDB
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( SNAME( 10: 11 ).EQ.'mm' )THEN
|
|
IF( TRACE )
|
|
$ CALL DPRCN3( NTRA, NC, SNAME, IORDER,
|
|
$ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
|
|
$ LDA, LDB)
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CDTRMM( IORDER, SIDE, UPLO, TRANSA,
|
|
$ DIAG, M, N, ALPHA, AA, LDA,
|
|
$ BB, LDB )
|
|
ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
|
|
IF( TRACE )
|
|
$ CALL DPRCN3( NTRA, NC, SNAME, IORDER,
|
|
$ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
|
|
$ LDA, LDB)
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CDTRSM( IORDER, SIDE, UPLO, TRANSA,
|
|
$ DIAG, M, N, ALPHA, AA, LDA,
|
|
$ BB, LDB )
|
|
END IF
|
|
*
|
|
* Check if error-exit was taken incorrectly.
|
|
*
|
|
IF( .NOT.OK )THEN
|
|
WRITE( NOUT, FMT = 9994 )
|
|
FATAL = .TRUE.
|
|
GO TO 150
|
|
END IF
|
|
*
|
|
* See what data changed inside subroutines.
|
|
*
|
|
ISAME( 1 ) = SIDES.EQ.SIDE
|
|
ISAME( 2 ) = UPLOS.EQ.UPLO
|
|
ISAME( 3 ) = TRANAS.EQ.TRANSA
|
|
ISAME( 4 ) = DIAGS.EQ.DIAG
|
|
ISAME( 5 ) = MS.EQ.M
|
|
ISAME( 6 ) = NS.EQ.N
|
|
ISAME( 7 ) = ALS.EQ.ALPHA
|
|
ISAME( 8 ) = LDE( AS, AA, LAA )
|
|
ISAME( 9 ) = LDAS.EQ.LDA
|
|
IF( NULL )THEN
|
|
ISAME( 10 ) = LDE( BS, BB, LBB )
|
|
ELSE
|
|
ISAME( 10 ) = LDERES( 'GE', ' ', M, N, BS,
|
|
$ BB, LDB )
|
|
END IF
|
|
ISAME( 11 ) = LDBS.EQ.LDB
|
|
*
|
|
* If data was incorrectly changed, report and
|
|
* return.
|
|
*
|
|
SAME = .TRUE.
|
|
DO 50 I = 1, NARGS
|
|
SAME = SAME.AND.ISAME( I )
|
|
IF( .NOT.ISAME( I ) )
|
|
$ WRITE( NOUT, FMT = 9998 )I
|
|
50 CONTINUE
|
|
IF( .NOT.SAME )THEN
|
|
FATAL = .TRUE.
|
|
GO TO 150
|
|
END IF
|
|
*
|
|
IF( .NOT.NULL )THEN
|
|
IF( SNAME( 10: 11 ).EQ.'mm' )THEN
|
|
*
|
|
* Check the result.
|
|
*
|
|
IF( LEFT )THEN
|
|
CALL DMMCH( TRANSA, 'N', M, N, M,
|
|
$ ALPHA, A, NMAX, B, NMAX,
|
|
$ ZERO, C, NMAX, CT, G,
|
|
$ BB, LDB, EPS, ERR,
|
|
$ FATAL, NOUT, .TRUE. )
|
|
ELSE
|
|
CALL DMMCH( 'N', TRANSA, M, N, N,
|
|
$ ALPHA, B, NMAX, A, NMAX,
|
|
$ ZERO, C, NMAX, CT, G,
|
|
$ BB, LDB, EPS, ERR,
|
|
$ FATAL, NOUT, .TRUE. )
|
|
END IF
|
|
ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
|
|
*
|
|
* Compute approximation to original
|
|
* matrix.
|
|
*
|
|
DO 70 J = 1, N
|
|
DO 60 I = 1, M
|
|
C( I, J ) = BB( I + ( J - 1 )*
|
|
$ LDB )
|
|
BB( I + ( J - 1 )*LDB ) = ALPHA*
|
|
$ B( I, J )
|
|
60 CONTINUE
|
|
70 CONTINUE
|
|
*
|
|
IF( LEFT )THEN
|
|
CALL DMMCH( TRANSA, 'N', M, N, M,
|
|
$ ONE, A, NMAX, C, NMAX,
|
|
$ ZERO, B, NMAX, CT, G,
|
|
$ BB, LDB, EPS, ERR,
|
|
$ FATAL, NOUT, .FALSE. )
|
|
ELSE
|
|
CALL DMMCH( 'N', TRANSA, M, N, N,
|
|
$ ONE, C, NMAX, A, NMAX,
|
|
$ ZERO, B, NMAX, CT, G,
|
|
$ BB, LDB, EPS, ERR,
|
|
$ FATAL, NOUT, .FALSE. )
|
|
END IF
|
|
END IF
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and
|
|
* return.
|
|
IF( FATAL )
|
|
$ GO TO 150
|
|
END IF
|
|
*
|
|
80 CONTINUE
|
|
*
|
|
90 CONTINUE
|
|
*
|
|
100 CONTINUE
|
|
*
|
|
110 CONTINUE
|
|
*
|
|
120 CONTINUE
|
|
*
|
|
130 CONTINUE
|
|
*
|
|
140 CONTINUE
|
|
*
|
|
* Report result.
|
|
*
|
|
IF( ERRMAX.LT.THRESH )THEN
|
|
IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
|
|
IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
|
|
ELSE
|
|
IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
|
|
IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
|
|
END IF
|
|
GO TO 160
|
|
*
|
|
150 CONTINUE
|
|
WRITE( NOUT, FMT = 9996 )SNAME
|
|
IF( TRACE )
|
|
$ CALL DPRCN3( NTRA, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, DIAG,
|
|
$ M, N, ALPHA, LDA, LDB)
|
|
*
|
|
160 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( 1X, I6, ': ', A12,'(', 4( '''', A1, ''',' ), 2( I3, ',' ),
|
|
$ F4.1, ', A,', I3, ', B,', I3, ') .' )
|
|
9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of DCHK3.
|
|
*
|
|
END
|
|
*
|
|
SUBROUTINE DPRCN3(NOUT, NC, SNAME, IORDER, SIDE, UPLO, TRANSA,
|
|
$ DIAG, M, N, ALPHA, LDA, LDB)
|
|
INTEGER NOUT, NC, IORDER, M, N, LDA, LDB
|
|
DOUBLE PRECISION ALPHA
|
|
CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
|
|
CHARACTER*12 SNAME
|
|
CHARACTER*14 CRC, CS, CU, CA, CD
|
|
|
|
IF (SIDE.EQ.'L')THEN
|
|
CS = ' CblasLeft'
|
|
ELSE
|
|
CS = ' CblasRight'
|
|
END IF
|
|
IF (UPLO.EQ.'U')THEN
|
|
CU = ' CblasUpper'
|
|
ELSE
|
|
CU = ' CblasLower'
|
|
END IF
|
|
IF (TRANSA.EQ.'N')THEN
|
|
CA = ' CblasNoTrans'
|
|
ELSE IF (TRANSA.EQ.'T')THEN
|
|
CA = ' CblasTrans'
|
|
ELSE
|
|
CA = 'CblasConjTrans'
|
|
END IF
|
|
IF (DIAG.EQ.'N')THEN
|
|
CD = ' CblasNonUnit'
|
|
ELSE
|
|
CD = ' CblasUnit'
|
|
END IF
|
|
IF (IORDER.EQ.1)THEN
|
|
CRC = ' CblasRowMajor'
|
|
ELSE
|
|
CRC = ' CblasColMajor'
|
|
END IF
|
|
WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
|
|
WRITE(NOUT, FMT = 9994)CA, CD, M, N, ALPHA, LDA, LDB
|
|
|
|
9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
|
|
9994 FORMAT( 22X, 2( A14, ',') , 2( I3, ',' ),
|
|
$ F4.1, ', A,', I3, ', B,', I3, ').' )
|
|
END
|
|
*
|
|
SUBROUTINE DCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
|
|
$ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, IORDER)
|
|
*
|
|
* Tests DSYRK.
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Parameters ..
|
|
DOUBLE PRECISION ZERO
|
|
PARAMETER ( ZERO = 0.0D0 )
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION EPS, THRESH
|
|
INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
|
|
$ AS( NMAX*NMAX ), B( NMAX, NMAX ),
|
|
$ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
|
|
$ C( NMAX, NMAX ), CC( NMAX*NMAX ),
|
|
$ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX )
|
|
INTEGER IDIM( NIDIM )
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION ALPHA, ALS, BETA, BETS, ERR, ERRMAX
|
|
INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS,
|
|
$ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA,
|
|
$ NARGS, NC, NS
|
|
LOGICAL NULL, RESET, SAME, TRAN, UPPER
|
|
CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS
|
|
CHARACTER*2 ICHU
|
|
CHARACTER*3 ICHT
|
|
* .. Local Arrays ..
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LDE, LDERES
|
|
EXTERNAL LDE, LDERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL DMAKE, DMMCH, CDSYRK
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC MAX
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Data statements ..
|
|
DATA ICHT/'NTC'/, ICHU/'UL'/
|
|
* .. Executable Statements ..
|
|
*
|
|
NARGS = 10
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
*
|
|
DO 100 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
* Set LDC to 1 more than minimum value if room.
|
|
LDC = N
|
|
IF( LDC.LT.NMAX )
|
|
$ LDC = LDC + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDC.GT.NMAX )
|
|
$ GO TO 100
|
|
LCC = LDC*N
|
|
NULL = N.LE.0
|
|
*
|
|
DO 90 IK = 1, NIDIM
|
|
K = IDIM( IK )
|
|
*
|
|
DO 80 ICT = 1, 3
|
|
TRANS = ICHT( ICT: ICT )
|
|
TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
|
|
IF( TRAN )THEN
|
|
MA = K
|
|
NA = N
|
|
ELSE
|
|
MA = N
|
|
NA = K
|
|
END IF
|
|
* Set LDA to 1 more than minimum value if room.
|
|
LDA = MA
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 80
|
|
LAA = LDA*NA
|
|
*
|
|
* Generate the matrix A.
|
|
*
|
|
CALL DMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA,
|
|
$ RESET, ZERO )
|
|
*
|
|
DO 70 ICU = 1, 2
|
|
UPLO = ICHU( ICU: ICU )
|
|
UPPER = UPLO.EQ.'U'
|
|
*
|
|
DO 60 IA = 1, NALF
|
|
ALPHA = ALF( IA )
|
|
*
|
|
DO 50 IB = 1, NBET
|
|
BETA = BET( IB )
|
|
*
|
|
* Generate the matrix C.
|
|
*
|
|
CALL DMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC,
|
|
$ LDC, RESET, ZERO )
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the subroutine.
|
|
*
|
|
UPLOS = UPLO
|
|
TRANSS = TRANS
|
|
NS = N
|
|
KS = K
|
|
ALS = ALPHA
|
|
DO 10 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
10 CONTINUE
|
|
LDAS = LDA
|
|
BETS = BETA
|
|
DO 20 I = 1, LCC
|
|
CS( I ) = CC( I )
|
|
20 CONTINUE
|
|
LDCS = LDC
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( TRACE )
|
|
$ CALL DPRCN4( NTRA, NC, SNAME, IORDER, UPLO,
|
|
$ TRANS, N, K, ALPHA, LDA, BETA, LDC)
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CDSYRK( IORDER, UPLO, TRANS, N, K, ALPHA,
|
|
$ AA, LDA, BETA, CC, LDC )
|
|
*
|
|
* Check if error-exit was taken incorrectly.
|
|
*
|
|
IF( .NOT.OK )THEN
|
|
WRITE( NOUT, FMT = 9993 )
|
|
FATAL = .TRUE.
|
|
GO TO 120
|
|
END IF
|
|
*
|
|
* See what data changed inside subroutines.
|
|
*
|
|
ISAME( 1 ) = UPLOS.EQ.UPLO
|
|
ISAME( 2 ) = TRANSS.EQ.TRANS
|
|
ISAME( 3 ) = NS.EQ.N
|
|
ISAME( 4 ) = KS.EQ.K
|
|
ISAME( 5 ) = ALS.EQ.ALPHA
|
|
ISAME( 6 ) = LDE( AS, AA, LAA )
|
|
ISAME( 7 ) = LDAS.EQ.LDA
|
|
ISAME( 8 ) = BETS.EQ.BETA
|
|
IF( NULL )THEN
|
|
ISAME( 9 ) = LDE( CS, CC, LCC )
|
|
ELSE
|
|
ISAME( 9 ) = LDERES( 'SY', UPLO, N, N, CS,
|
|
$ CC, LDC )
|
|
END IF
|
|
ISAME( 10 ) = LDCS.EQ.LDC
|
|
*
|
|
* If data was incorrectly changed, report and
|
|
* return.
|
|
*
|
|
SAME = .TRUE.
|
|
DO 30 I = 1, NARGS
|
|
SAME = SAME.AND.ISAME( I )
|
|
IF( .NOT.ISAME( I ) )
|
|
$ WRITE( NOUT, FMT = 9998 )I
|
|
30 CONTINUE
|
|
IF( .NOT.SAME )THEN
|
|
FATAL = .TRUE.
|
|
GO TO 120
|
|
END IF
|
|
*
|
|
IF( .NOT.NULL )THEN
|
|
*
|
|
* Check the result column by column.
|
|
*
|
|
JC = 1
|
|
DO 40 J = 1, N
|
|
IF( UPPER )THEN
|
|
JJ = 1
|
|
LJ = J
|
|
ELSE
|
|
JJ = J
|
|
LJ = N - J + 1
|
|
END IF
|
|
IF( TRAN )THEN
|
|
CALL DMMCH( 'T', 'N', LJ, 1, K, ALPHA,
|
|
$ A( 1, JJ ), NMAX,
|
|
$ A( 1, J ), NMAX, BETA,
|
|
$ C( JJ, J ), NMAX, CT, G,
|
|
$ CC( JC ), LDC, EPS, ERR,
|
|
$ FATAL, NOUT, .TRUE. )
|
|
ELSE
|
|
CALL DMMCH( 'N', 'T', LJ, 1, K, ALPHA,
|
|
$ A( JJ, 1 ), NMAX,
|
|
$ A( J, 1 ), NMAX, BETA,
|
|
$ C( JJ, J ), NMAX, CT, G,
|
|
$ CC( JC ), LDC, EPS, ERR,
|
|
$ FATAL, NOUT, .TRUE. )
|
|
END IF
|
|
IF( UPPER )THEN
|
|
JC = JC + LDC
|
|
ELSE
|
|
JC = JC + LDC + 1
|
|
END IF
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and
|
|
* return.
|
|
IF( FATAL )
|
|
$ GO TO 110
|
|
40 CONTINUE
|
|
END IF
|
|
*
|
|
50 CONTINUE
|
|
*
|
|
60 CONTINUE
|
|
*
|
|
70 CONTINUE
|
|
*
|
|
80 CONTINUE
|
|
*
|
|
90 CONTINUE
|
|
*
|
|
100 CONTINUE
|
|
*
|
|
* Report result.
|
|
*
|
|
IF( ERRMAX.LT.THRESH )THEN
|
|
IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
|
|
IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
|
|
ELSE
|
|
IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
|
|
IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
|
|
END IF
|
|
GO TO 130
|
|
*
|
|
110 CONTINUE
|
|
IF( N.GT.1 )
|
|
$ WRITE( NOUT, FMT = 9995 )J
|
|
*
|
|
120 CONTINUE
|
|
WRITE( NOUT, FMT = 9996 )SNAME
|
|
CALL DPRCN4( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,
|
|
$ LDA, BETA, LDC)
|
|
*
|
|
130 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
|
|
9994 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
|
|
$ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') .' )
|
|
9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of DCHK4.
|
|
*
|
|
END
|
|
*
|
|
SUBROUTINE DPRCN4(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
|
|
$ N, K, ALPHA, LDA, BETA, LDC)
|
|
INTEGER NOUT, NC, IORDER, N, K, LDA, LDC
|
|
DOUBLE PRECISION ALPHA, BETA
|
|
CHARACTER*1 UPLO, TRANSA
|
|
CHARACTER*12 SNAME
|
|
CHARACTER*14 CRC, CU, CA
|
|
|
|
IF (UPLO.EQ.'U')THEN
|
|
CU = ' CblasUpper'
|
|
ELSE
|
|
CU = ' CblasLower'
|
|
END IF
|
|
IF (TRANSA.EQ.'N')THEN
|
|
CA = ' CblasNoTrans'
|
|
ELSE IF (TRANSA.EQ.'T')THEN
|
|
CA = ' CblasTrans'
|
|
ELSE
|
|
CA = 'CblasConjTrans'
|
|
END IF
|
|
IF (IORDER.EQ.1)THEN
|
|
CRC = ' CblasRowMajor'
|
|
ELSE
|
|
CRC = ' CblasColMajor'
|
|
END IF
|
|
WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
|
|
WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC
|
|
|
|
9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') )
|
|
9994 FORMAT( 20X, 2( I3, ',' ),
|
|
$ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ').' )
|
|
END
|
|
*
|
|
SUBROUTINE DCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
|
|
$ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
|
|
$ IORDER )
|
|
*
|
|
* Tests DSYR2K.
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Parameters ..
|
|
DOUBLE PRECISION ZERO
|
|
PARAMETER ( ZERO = 0.0D0 )
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION EPS, THRESH
|
|
INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ),
|
|
$ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ),
|
|
$ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ),
|
|
$ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),
|
|
$ G( NMAX ), W( 2*NMAX )
|
|
INTEGER IDIM( NIDIM )
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION ALPHA, ALS, BETA, BETS, ERR, ERRMAX
|
|
INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB,
|
|
$ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS,
|
|
$ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS
|
|
LOGICAL NULL, RESET, SAME, TRAN, UPPER
|
|
CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS
|
|
CHARACTER*2 ICHU
|
|
CHARACTER*3 ICHT
|
|
* .. Local Arrays ..
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LDE, LDERES
|
|
EXTERNAL LDE, LDERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL DMAKE, DMMCH, CDSYR2K
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC MAX
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Data statements ..
|
|
DATA ICHT/'NTC'/, ICHU/'UL'/
|
|
* .. Executable Statements ..
|
|
*
|
|
NARGS = 12
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
*
|
|
DO 130 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
* Set LDC to 1 more than minimum value if room.
|
|
LDC = N
|
|
IF( LDC.LT.NMAX )
|
|
$ LDC = LDC + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDC.GT.NMAX )
|
|
$ GO TO 130
|
|
LCC = LDC*N
|
|
NULL = N.LE.0
|
|
*
|
|
DO 120 IK = 1, NIDIM
|
|
K = IDIM( IK )
|
|
*
|
|
DO 110 ICT = 1, 3
|
|
TRANS = ICHT( ICT: ICT )
|
|
TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
|
|
IF( TRAN )THEN
|
|
MA = K
|
|
NA = N
|
|
ELSE
|
|
MA = N
|
|
NA = K
|
|
END IF
|
|
* Set LDA to 1 more than minimum value if room.
|
|
LDA = MA
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 110
|
|
LAA = LDA*NA
|
|
*
|
|
* Generate the matrix A.
|
|
*
|
|
IF( TRAN )THEN
|
|
CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB, 2*NMAX, AA,
|
|
$ LDA, RESET, ZERO )
|
|
ELSE
|
|
CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB, NMAX, AA, LDA,
|
|
$ RESET, ZERO )
|
|
END IF
|
|
*
|
|
* Generate the matrix B.
|
|
*
|
|
LDB = LDA
|
|
LBB = LAA
|
|
IF( TRAN )THEN
|
|
CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB( K + 1 ),
|
|
$ 2*NMAX, BB, LDB, RESET, ZERO )
|
|
ELSE
|
|
CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB( K*NMAX + 1 ),
|
|
$ NMAX, BB, LDB, RESET, ZERO )
|
|
END IF
|
|
*
|
|
DO 100 ICU = 1, 2
|
|
UPLO = ICHU( ICU: ICU )
|
|
UPPER = UPLO.EQ.'U'
|
|
*
|
|
DO 90 IA = 1, NALF
|
|
ALPHA = ALF( IA )
|
|
*
|
|
DO 80 IB = 1, NBET
|
|
BETA = BET( IB )
|
|
*
|
|
* Generate the matrix C.
|
|
*
|
|
CALL DMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC,
|
|
$ LDC, RESET, ZERO )
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the subroutine.
|
|
*
|
|
UPLOS = UPLO
|
|
TRANSS = TRANS
|
|
NS = N
|
|
KS = K
|
|
ALS = ALPHA
|
|
DO 10 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
10 CONTINUE
|
|
LDAS = LDA
|
|
DO 20 I = 1, LBB
|
|
BS( I ) = BB( I )
|
|
20 CONTINUE
|
|
LDBS = LDB
|
|
BETS = BETA
|
|
DO 30 I = 1, LCC
|
|
CS( I ) = CC( I )
|
|
30 CONTINUE
|
|
LDCS = LDC
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( TRACE )
|
|
$ CALL DPRCN5( NTRA, NC, SNAME, IORDER, UPLO,
|
|
$ TRANS, N, K, ALPHA, LDA, LDB, BETA, LDC)
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CDSYR2K( IORDER, UPLO, TRANS, N, K,
|
|
$ ALPHA, AA, LDA, BB, LDB, BETA,
|
|
$ CC, LDC )
|
|
*
|
|
* Check if error-exit was taken incorrectly.
|
|
*
|
|
IF( .NOT.OK )THEN
|
|
WRITE( NOUT, FMT = 9993 )
|
|
FATAL = .TRUE.
|
|
GO TO 150
|
|
END IF
|
|
*
|
|
* See what data changed inside subroutines.
|
|
*
|
|
ISAME( 1 ) = UPLOS.EQ.UPLO
|
|
ISAME( 2 ) = TRANSS.EQ.TRANS
|
|
ISAME( 3 ) = NS.EQ.N
|
|
ISAME( 4 ) = KS.EQ.K
|
|
ISAME( 5 ) = ALS.EQ.ALPHA
|
|
ISAME( 6 ) = LDE( AS, AA, LAA )
|
|
ISAME( 7 ) = LDAS.EQ.LDA
|
|
ISAME( 8 ) = LDE( BS, BB, LBB )
|
|
ISAME( 9 ) = LDBS.EQ.LDB
|
|
ISAME( 10 ) = BETS.EQ.BETA
|
|
IF( NULL )THEN
|
|
ISAME( 11 ) = LDE( CS, CC, LCC )
|
|
ELSE
|
|
ISAME( 11 ) = LDERES( 'SY', UPLO, N, N, CS,
|
|
$ CC, LDC )
|
|
END IF
|
|
ISAME( 12 ) = LDCS.EQ.LDC
|
|
*
|
|
* If data was incorrectly changed, report and
|
|
* return.
|
|
*
|
|
SAME = .TRUE.
|
|
DO 40 I = 1, NARGS
|
|
SAME = SAME.AND.ISAME( I )
|
|
IF( .NOT.ISAME( I ) )
|
|
$ WRITE( NOUT, FMT = 9998 )I
|
|
40 CONTINUE
|
|
IF( .NOT.SAME )THEN
|
|
FATAL = .TRUE.
|
|
GO TO 150
|
|
END IF
|
|
*
|
|
IF( .NOT.NULL )THEN
|
|
*
|
|
* Check the result column by column.
|
|
*
|
|
JJAB = 1
|
|
JC = 1
|
|
DO 70 J = 1, N
|
|
IF( UPPER )THEN
|
|
JJ = 1
|
|
LJ = J
|
|
ELSE
|
|
JJ = J
|
|
LJ = N - J + 1
|
|
END IF
|
|
IF( TRAN )THEN
|
|
DO 50 I = 1, K
|
|
W( I ) = AB( ( J - 1 )*2*NMAX + K +
|
|
$ I )
|
|
W( K + I ) = AB( ( J - 1 )*2*NMAX +
|
|
$ I )
|
|
50 CONTINUE
|
|
CALL DMMCH( 'T', 'N', LJ, 1, 2*K,
|
|
$ ALPHA, AB( JJAB ), 2*NMAX,
|
|
$ W, 2*NMAX, BETA,
|
|
$ C( JJ, J ), NMAX, CT, G,
|
|
$ CC( JC ), LDC, EPS, ERR,
|
|
$ FATAL, NOUT, .TRUE. )
|
|
ELSE
|
|
DO 60 I = 1, K
|
|
W( I ) = AB( ( K + I - 1 )*NMAX +
|
|
$ J )
|
|
W( K + I ) = AB( ( I - 1 )*NMAX +
|
|
$ J )
|
|
60 CONTINUE
|
|
CALL DMMCH( 'N', 'N', LJ, 1, 2*K,
|
|
$ ALPHA, AB( JJ ), NMAX, W,
|
|
$ 2*NMAX, BETA, C( JJ, J ),
|
|
$ NMAX, CT, G, CC( JC ), LDC,
|
|
$ EPS, ERR, FATAL, NOUT,
|
|
$ .TRUE. )
|
|
END IF
|
|
IF( UPPER )THEN
|
|
JC = JC + LDC
|
|
ELSE
|
|
JC = JC + LDC + 1
|
|
IF( TRAN )
|
|
$ JJAB = JJAB + 2*NMAX
|
|
END IF
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and
|
|
* return.
|
|
IF( FATAL )
|
|
$ GO TO 140
|
|
70 CONTINUE
|
|
END IF
|
|
*
|
|
80 CONTINUE
|
|
*
|
|
90 CONTINUE
|
|
*
|
|
100 CONTINUE
|
|
*
|
|
110 CONTINUE
|
|
*
|
|
120 CONTINUE
|
|
*
|
|
130 CONTINUE
|
|
*
|
|
* Report result.
|
|
*
|
|
IF( ERRMAX.LT.THRESH )THEN
|
|
IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
|
|
IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
|
|
ELSE
|
|
IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
|
|
IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
|
|
END IF
|
|
GO TO 160
|
|
*
|
|
140 CONTINUE
|
|
IF( N.GT.1 )
|
|
$ WRITE( NOUT, FMT = 9995 )J
|
|
*
|
|
150 CONTINUE
|
|
WRITE( NOUT, FMT = 9996 )SNAME
|
|
CALL DPRCN5( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,
|
|
$ LDA, LDB, BETA, LDC)
|
|
*
|
|
160 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
|
|
9994 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
|
|
$ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ',
|
|
$ ' .' )
|
|
9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of DCHK5.
|
|
*
|
|
END
|
|
*
|
|
SUBROUTINE DPRCN5(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
|
|
$ N, K, ALPHA, LDA, LDB, BETA, LDC)
|
|
INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC
|
|
DOUBLE PRECISION ALPHA, BETA
|
|
CHARACTER*1 UPLO, TRANSA
|
|
CHARACTER*12 SNAME
|
|
CHARACTER*14 CRC, CU, CA
|
|
|
|
IF (UPLO.EQ.'U')THEN
|
|
CU = ' CblasUpper'
|
|
ELSE
|
|
CU = ' CblasLower'
|
|
END IF
|
|
IF (TRANSA.EQ.'N')THEN
|
|
CA = ' CblasNoTrans'
|
|
ELSE IF (TRANSA.EQ.'T')THEN
|
|
CA = ' CblasTrans'
|
|
ELSE
|
|
CA = 'CblasConjTrans'
|
|
END IF
|
|
IF (IORDER.EQ.1)THEN
|
|
CRC = ' CblasRowMajor'
|
|
ELSE
|
|
CRC = ' CblasColMajor'
|
|
END IF
|
|
WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
|
|
WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC
|
|
|
|
9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') )
|
|
9994 FORMAT( 20X, 2( I3, ',' ),
|
|
$ F4.1, ', A,', I3, ', B', I3, ',', F4.1, ', C,', I3, ').' )
|
|
END
|
|
*
|
|
SUBROUTINE DMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET,
|
|
$ TRANSL )
|
|
*
|
|
* Generates values for an M by N matrix A.
|
|
* Stores the values in the array AA in the data structure required
|
|
* by the routine, with unwanted elements set to rogue value.
|
|
*
|
|
* TYPE is 'GE', 'SY' or 'TR'.
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Parameters ..
|
|
DOUBLE PRECISION ZERO, ONE
|
|
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
|
|
DOUBLE PRECISION ROGUE
|
|
PARAMETER ( ROGUE = -1.0D10 )
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION TRANSL
|
|
INTEGER LDA, M, N, NMAX
|
|
LOGICAL RESET
|
|
CHARACTER*1 DIAG, UPLO
|
|
CHARACTER*2 TYPE
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION A( NMAX, * ), AA( * )
|
|
* .. Local Scalars ..
|
|
INTEGER I, IBEG, IEND, J
|
|
LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
|
|
* .. External Functions ..
|
|
DOUBLE PRECISION DBEG
|
|
EXTERNAL DBEG
|
|
* .. Executable Statements ..
|
|
GEN = TYPE.EQ.'GE'
|
|
SYM = TYPE.EQ.'SY'
|
|
TRI = TYPE.EQ.'TR'
|
|
UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U'
|
|
LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L'
|
|
UNIT = TRI.AND.DIAG.EQ.'U'
|
|
*
|
|
* Generate data in array A.
|
|
*
|
|
DO 20 J = 1, N
|
|
DO 10 I = 1, M
|
|
IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
|
|
$ THEN
|
|
A( I, J ) = DBEG( RESET ) + TRANSL
|
|
IF( I.NE.J )THEN
|
|
* Set some elements to zero
|
|
IF( N.GT.3.AND.J.EQ.N/2 )
|
|
$ A( I, J ) = ZERO
|
|
IF( SYM )THEN
|
|
A( J, I ) = A( I, J )
|
|
ELSE IF( TRI )THEN
|
|
A( J, I ) = ZERO
|
|
END IF
|
|
END IF
|
|
END IF
|
|
10 CONTINUE
|
|
IF( TRI )
|
|
$ A( J, J ) = A( J, J ) + ONE
|
|
IF( UNIT )
|
|
$ A( J, J ) = ONE
|
|
20 CONTINUE
|
|
*
|
|
* Store elements in array AS in data structure required by routine.
|
|
*
|
|
IF( TYPE.EQ.'GE' )THEN
|
|
DO 50 J = 1, N
|
|
DO 30 I = 1, M
|
|
AA( I + ( J - 1 )*LDA ) = A( I, J )
|
|
30 CONTINUE
|
|
DO 40 I = M + 1, LDA
|
|
AA( I + ( J - 1 )*LDA ) = ROGUE
|
|
40 CONTINUE
|
|
50 CONTINUE
|
|
ELSE IF( TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN
|
|
DO 90 J = 1, N
|
|
IF( UPPER )THEN
|
|
IBEG = 1
|
|
IF( UNIT )THEN
|
|
IEND = J - 1
|
|
ELSE
|
|
IEND = J
|
|
END IF
|
|
ELSE
|
|
IF( UNIT )THEN
|
|
IBEG = J + 1
|
|
ELSE
|
|
IBEG = J
|
|
END IF
|
|
IEND = N
|
|
END IF
|
|
DO 60 I = 1, IBEG - 1
|
|
AA( I + ( J - 1 )*LDA ) = ROGUE
|
|
60 CONTINUE
|
|
DO 70 I = IBEG, IEND
|
|
AA( I + ( J - 1 )*LDA ) = A( I, J )
|
|
70 CONTINUE
|
|
DO 80 I = IEND + 1, LDA
|
|
AA( I + ( J - 1 )*LDA ) = ROGUE
|
|
80 CONTINUE
|
|
90 CONTINUE
|
|
END IF
|
|
RETURN
|
|
*
|
|
* End of DMAKE.
|
|
*
|
|
END
|
|
SUBROUTINE DMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB,
|
|
$ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL,
|
|
$ NOUT, MV )
|
|
*
|
|
* Checks the results of the computational tests.
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Parameters ..
|
|
DOUBLE PRECISION ZERO, ONE
|
|
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION ALPHA, BETA, EPS, ERR
|
|
INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT
|
|
LOGICAL FATAL, MV
|
|
CHARACTER*1 TRANSA, TRANSB
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION A( LDA, * ), B( LDB, * ), C( LDC, * ),
|
|
$ CC( LDCC, * ), CT( * ), G( * )
|
|
* .. Local Scalars ..
|
|
DOUBLE PRECISION ERRI
|
|
INTEGER I, J, K
|
|
LOGICAL TRANA, TRANB
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MAX, SQRT
|
|
* .. Executable Statements ..
|
|
TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C'
|
|
TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C'
|
|
*
|
|
* Compute expected result, one column at a time, in CT using data
|
|
* in A, B and C.
|
|
* Compute gauges in G.
|
|
*
|
|
DO 120 J = 1, N
|
|
*
|
|
DO 10 I = 1, M
|
|
CT( I ) = ZERO
|
|
G( I ) = ZERO
|
|
10 CONTINUE
|
|
IF( .NOT.TRANA.AND..NOT.TRANB )THEN
|
|
DO 30 K = 1, KK
|
|
DO 20 I = 1, M
|
|
CT( I ) = CT( I ) + A( I, K )*B( K, J )
|
|
G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( K, J ) )
|
|
20 CONTINUE
|
|
30 CONTINUE
|
|
ELSE IF( TRANA.AND..NOT.TRANB )THEN
|
|
DO 50 K = 1, KK
|
|
DO 40 I = 1, M
|
|
CT( I ) = CT( I ) + A( K, I )*B( K, J )
|
|
G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( K, J ) )
|
|
40 CONTINUE
|
|
50 CONTINUE
|
|
ELSE IF( .NOT.TRANA.AND.TRANB )THEN
|
|
DO 70 K = 1, KK
|
|
DO 60 I = 1, M
|
|
CT( I ) = CT( I ) + A( I, K )*B( J, K )
|
|
G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( J, K ) )
|
|
60 CONTINUE
|
|
70 CONTINUE
|
|
ELSE IF( TRANA.AND.TRANB )THEN
|
|
DO 90 K = 1, KK
|
|
DO 80 I = 1, M
|
|
CT( I ) = CT( I ) + A( K, I )*B( J, K )
|
|
G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( J, K ) )
|
|
80 CONTINUE
|
|
90 CONTINUE
|
|
END IF
|
|
DO 100 I = 1, M
|
|
CT( I ) = ALPHA*CT( I ) + BETA*C( I, J )
|
|
G( I ) = ABS( ALPHA )*G( I ) + ABS( BETA )*ABS( C( I, J ) )
|
|
100 CONTINUE
|
|
*
|
|
* Compute the error ratio for this result.
|
|
*
|
|
ERR = ZERO
|
|
DO 110 I = 1, M
|
|
ERRI = ABS( CT( I ) - CC( I, J ) )/EPS
|
|
IF( G( I ).NE.ZERO )
|
|
$ ERRI = ERRI/G( I )
|
|
ERR = MAX( ERR, ERRI )
|
|
IF( ERR*SQRT( EPS ).GE.ONE )
|
|
$ GO TO 130
|
|
110 CONTINUE
|
|
*
|
|
120 CONTINUE
|
|
*
|
|
* If the loop completes, all results are at least half accurate.
|
|
GO TO 150
|
|
*
|
|
* Report fatal error.
|
|
*
|
|
130 FATAL = .TRUE.
|
|
WRITE( NOUT, FMT = 9999 )
|
|
DO 140 I = 1, M
|
|
IF( MV )THEN
|
|
WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J )
|
|
ELSE
|
|
WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I )
|
|
END IF
|
|
140 CONTINUE
|
|
IF( N.GT.1 )
|
|
$ WRITE( NOUT, FMT = 9997 )J
|
|
*
|
|
150 CONTINUE
|
|
RETURN
|
|
*
|
|
9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
|
|
$ 'F ACCURATE *******', /' EXPECTED RESULT COMPU',
|
|
$ 'TED RESULT' )
|
|
9998 FORMAT( 1X, I7, 2G18.6 )
|
|
9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
|
|
*
|
|
* End of DMMCH.
|
|
*
|
|
END
|
|
LOGICAL FUNCTION LDE( RI, RJ, LR )
|
|
*
|
|
* Tests if two arrays are identical.
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Scalar Arguments ..
|
|
INTEGER LR
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION RI( * ), RJ( * )
|
|
* .. Local Scalars ..
|
|
INTEGER I
|
|
* .. Executable Statements ..
|
|
DO 10 I = 1, LR
|
|
IF( RI( I ).NE.RJ( I ) )
|
|
$ GO TO 20
|
|
10 CONTINUE
|
|
LDE = .TRUE.
|
|
GO TO 30
|
|
20 CONTINUE
|
|
LDE = .FALSE.
|
|
30 RETURN
|
|
*
|
|
* End of LDE.
|
|
*
|
|
END
|
|
LOGICAL FUNCTION LDERES( TYPE, UPLO, M, N, AA, AS, LDA )
|
|
*
|
|
* Tests if selected elements in two arrays are equal.
|
|
*
|
|
* TYPE is 'GE' or 'SY'.
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Scalar Arguments ..
|
|
INTEGER LDA, M, N
|
|
CHARACTER*1 UPLO
|
|
CHARACTER*2 TYPE
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION AA( LDA, * ), AS( LDA, * )
|
|
* .. Local Scalars ..
|
|
INTEGER I, IBEG, IEND, J
|
|
LOGICAL UPPER
|
|
* .. Executable Statements ..
|
|
UPPER = UPLO.EQ.'U'
|
|
IF( TYPE.EQ.'GE' )THEN
|
|
DO 20 J = 1, N
|
|
DO 10 I = M + 1, LDA
|
|
IF( AA( I, J ).NE.AS( I, J ) )
|
|
$ GO TO 70
|
|
10 CONTINUE
|
|
20 CONTINUE
|
|
ELSE IF( TYPE.EQ.'SY' )THEN
|
|
DO 50 J = 1, N
|
|
IF( UPPER )THEN
|
|
IBEG = 1
|
|
IEND = J
|
|
ELSE
|
|
IBEG = J
|
|
IEND = N
|
|
END IF
|
|
DO 30 I = 1, IBEG - 1
|
|
IF( AA( I, J ).NE.AS( I, J ) )
|
|
$ GO TO 70
|
|
30 CONTINUE
|
|
DO 40 I = IEND + 1, LDA
|
|
IF( AA( I, J ).NE.AS( I, J ) )
|
|
$ GO TO 70
|
|
40 CONTINUE
|
|
50 CONTINUE
|
|
END IF
|
|
*
|
|
60 CONTINUE
|
|
LDERES = .TRUE.
|
|
GO TO 80
|
|
70 CONTINUE
|
|
LDERES = .FALSE.
|
|
80 RETURN
|
|
*
|
|
* End of LDERES.
|
|
*
|
|
END
|
|
DOUBLE PRECISION FUNCTION DBEG( RESET )
|
|
*
|
|
* Generates random numbers uniformly distributed between -0.5 and 0.5.
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Scalar Arguments ..
|
|
LOGICAL RESET
|
|
* .. Local Scalars ..
|
|
INTEGER I, IC, MI
|
|
* .. Save statement ..
|
|
SAVE I, IC, MI
|
|
* .. Executable Statements ..
|
|
IF( RESET )THEN
|
|
* Initialize local variables.
|
|
MI = 891
|
|
I = 7
|
|
IC = 0
|
|
RESET = .FALSE.
|
|
END IF
|
|
*
|
|
* The sequence of values of I is bounded between 1 and 999.
|
|
* If initial I = 1,2,3,6,7 or 9, the period will be 50.
|
|
* If initial I = 4 or 8, the period will be 25.
|
|
* If initial I = 5, the period will be 10.
|
|
* IC is used to break up the period by skipping 1 value of I in 6.
|
|
*
|
|
IC = IC + 1
|
|
10 I = I*MI
|
|
I = I - 1000*( I/1000 )
|
|
IF( IC.GE.5 )THEN
|
|
IC = 0
|
|
GO TO 10
|
|
END IF
|
|
DBEG = ( I - 500 )/1001.0D0
|
|
RETURN
|
|
*
|
|
* End of DBEG.
|
|
*
|
|
END
|
|
DOUBLE PRECISION FUNCTION DDIFF( X, Y )
|
|
*
|
|
* Auxiliary routine for test program for Level 3 Blas.
|
|
*
|
|
* -- Written on 8-February-1989.
|
|
* Jack Dongarra, Argonne National Laboratory.
|
|
* Iain Duff, AERE Harwell.
|
|
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
|
|
* Sven Hammarling, Numerical Algorithms Group Ltd.
|
|
*
|
|
* .. Scalar Arguments ..
|
|
DOUBLE PRECISION X, Y
|
|
* .. Executable Statements ..
|
|
DDIFF = X - Y
|
|
RETURN
|
|
*
|
|
* End of DDIFF.
|
|
*
|
|
END
|