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lapack/CBLAS/testing/c_dblat2.f
T
Hans Johnson 9dafba6d41 STYLE: Remove trailing whitespace in Fortran files 
This is mostly a long term maintenance improvement.

Many coding styles require elimination of trailing whitespace, and
many editors and source code management configurations automatically
gobble up whitespace. When these tools gobble up whitespace, it
complicates reviewing the meaningful code changes.

By removing whitespace on one patch, it makes future
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=SCRIPT====================================================================

if which tempfile &>/dev/null; then
  TEMPMAKER=tempfile
elif which mktemp &>/dev/null; then
  TEMPMAKER=mktemp
else
  echo "Cannot find tempfile program." 2>&1
  exit 1
fi

MYTEMP=$($TEMPMAKER)
trap 'rm -f $MYTEMP' SIGINT SIGTERM

stripit() {
  echo "stripping $1"
  sed 's/[ \t]*$//' "$1" > $MYTEMP
  cp $MYTEMP "$1"
}

if [ $# -gt 0 ]; then
  while [ "$1" != "" ]; do
    stripit $1
    shift
  done
else
  while read -t 2; do
    stripit $REPLY
  done
fi

rm $MYTEMP
=================================================
2016-07-09 11:19:34 -05:00

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PROGRAM DBLAT2
*
* Test program for the DOUBLE PRECISION Level 2 Blas.
*
* The program must be driven by a short data file. The first 17 records
* of the file are read using list-directed input, the last 16 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 33 lines:
* 'DBLAT2.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
* 4 NUMBER OF VALUES OF K
* 0 1 2 4 VALUES OF K
* 4 NUMBER OF VALUES OF INCX AND INCY
* 1 2 -1 -2 VALUES OF INCX AND INCY
* 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 0.9 VALUES OF BETA
* cblas_dgemv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dgbmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dsymv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dsbmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dspmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dtrmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dtbmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dtpmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dtrsv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dtbsv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dtpsv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dger T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dsyr T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dspr T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dsyr2 T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_dspr2 T PUT F FOR NO TEST. SAME COLUMNS.
*
* See:
*
* Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J..
* An extended set of Fortran Basic Linear Algebra Subprograms.
*
* Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics
* and Computer Science Division, Argonne National Laboratory,
* 9700 South Cass Avenue, Argonne, Illinois 60439, US.
*
* Or
*
* NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms
* Group Ltd., NAG Central Office, 256 Banbury Road, Oxford
* OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st
* Street, Suite 100, Downers Grove, Illinois 60515-1263, USA.
*
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER NSUBS
PARAMETER ( NSUBS = 16 )
DOUBLE PRECISION ZERO, HALF, ONE
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
INTEGER NMAX, INCMAX
PARAMETER ( NMAX = 65, INCMAX = 2 )
INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
$ NALMAX = 7, NBEMAX = 7 )
* .. Local Scalars ..
DOUBLE PRECISION EPS, ERR, THRESH
INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
$ NTRA, LAYOUT
LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
$ TSTERR, CORDER, RORDER
CHARACTER*1 TRANS
CHARACTER*12 SNAMET
CHARACTER*32 SNAPS
* .. Local Arrays ..
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ),
$ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
$ G( NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( 2*NMAX )
INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
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, DCHK6,
$ CD2CHKE, DMVCH
* .. Intrinsic Functions ..
INTRINSIC ABS, 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_dgemv ', 'cblas_dgbmv ',
$ 'cblas_dsymv ','cblas_dsbmv ','cblas_dspmv ',
$ 'cblas_dtrmv ','cblas_dtbmv ','cblas_dtpmv ',
$ 'cblas_dtrsv ','cblas_dtbsv ','cblas_dtpsv ',
$ 'cblas_dger ','cblas_dsyr ','cblas_dspr ',
$ 'cblas_dsyr2 ','cblas_dspr2 '/
* .. Executable Statements ..
*
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 )
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 230
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 230
END IF
10 CONTINUE
* Values of K
READ( NIN, FMT = * )NKB
IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN
WRITE( NOUT, FMT = 9997 )'K', NKBMAX
GO TO 230
END IF
READ( NIN, FMT = * )( KB( I ), I = 1, NKB )
DO 20 I = 1, NKB
IF( KB( I ).LT.0 )THEN
WRITE( NOUT, FMT = 9995 )
GO TO 230
END IF
20 CONTINUE
* Values of INCX and INCY
READ( NIN, FMT = * )NINC
IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN
WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX
GO TO 230
END IF
READ( NIN, FMT = * )( INC( I ), I = 1, NINC )
DO 30 I = 1, NINC
IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN
WRITE( NOUT, FMT = 9994 )INCMAX
GO TO 230
END IF
30 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 230
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 230
END IF
READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
*
* Report values of parameters.
*
WRITE( NOUT, FMT = 9993 )
WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM )
WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB )
WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC )
WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF )
WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET )
IF( .NOT.TSTERR )THEN
WRITE( NOUT, FMT = * )
WRITE( NOUT, FMT = 9980 )
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 40 I = 1, NSUBS
LTEST( I ) = .FALSE.
40 CONTINUE
50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT
DO 60 I = 1, NSUBS
IF( SNAMET.EQ.SNAMES( I ) )
$ GO TO 70
60 CONTINUE
WRITE( NOUT, FMT = 9986 )SNAMET
STOP
70 LTEST( I ) = LTESTT
GO TO 50
*
80 CONTINUE
CLOSE ( NIN )
*
* Compute EPS (the machine precision).
*
EPS = ONE
90 CONTINUE
IF( DDIFF( ONE + EPS, ONE ).EQ.ZERO )
$ GO TO 100
EPS = HALF*EPS
GO TO 90
100 CONTINUE
EPS = EPS + EPS
WRITE( NOUT, FMT = 9998 )EPS
*
* Check the reliability of DMVCH using exact data.
*
N = MIN( 32, NMAX )
DO 120 J = 1, N
DO 110 I = 1, N
A( I, J ) = MAX( I - J + 1, 0 )
110 CONTINUE
X( J ) = J
Y( J ) = ZERO
120 CONTINUE
DO 130 J = 1, N
YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
130 CONTINUE
* YY holds the exact result. On exit from DMVCH YT holds
* the result computed by DMVCH.
TRANS = 'N'
CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
$ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
SAME = LDE( YY, YT, N )
IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
STOP
END IF
TRANS = 'T'
CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
$ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
SAME = LDE( YY, YT, N )
IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
STOP
END IF
*
* Test each subroutine in turn.
*
DO 210 ISNUM = 1, NSUBS
WRITE( NOUT, FMT = * )
IF( .NOT.LTEST( ISNUM ) )THEN
* Subprogram is not to be tested.
WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM )
ELSE
SRNAMT = SNAMES( ISNUM )
* Test error exits.
IF( TSTERR )THEN
CALL CD2CHKE( SNAMES( ISNUM ) )
WRITE( NOUT, FMT = * )
END IF
* Test computations.
INFOT = 0
OK = .TRUE.
FATAL = .FALSE.
GO TO ( 140, 140, 150, 150, 150, 160, 160,
$ 160, 160, 160, 160, 170, 180, 180,
$ 190, 190 )ISNUM
* Test DGEMV, 01, and DGBMV, 02.
140 IF (CORDER) THEN
CALL DCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
$ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
$ X, XX, XS, Y, YY, YS, YT, G, 0 )
END IF
IF (RORDER) THEN
CALL DCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
$ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
$ X, XX, XS, Y, YY, YS, YT, G, 1 )
END IF
GO TO 200
* Test DSYMV, 03, DSBMV, 04, and DSPMV, 05.
150 IF (CORDER) THEN
CALL DCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
$ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
$ X, XX, XS, Y, YY, YS, YT, G, 0 )
END IF
IF (RORDER) THEN
CALL DCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
$ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
$ X, XX, XS, Y, YY, YS, YT, G, 1 )
END IF
GO TO 200
* Test DTRMV, 06, DTBMV, 07, DTPMV, 08,
* DTRSV, 09, DTBSV, 10, and DTPSV, 11.
160 IF (CORDER) THEN
CALL DCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
$ 0 )
END IF
IF (RORDER) THEN
CALL DCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
$ 1 )
END IF
GO TO 200
* Test DGER, 12.
170 IF (CORDER) THEN
CALL DCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
$ YT, G, Z, 0 )
END IF
IF (RORDER) THEN
CALL DCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
$ YT, G, Z, 1 )
END IF
GO TO 200
* Test DSYR, 13, and DSPR, 14.
180 IF (CORDER) THEN
CALL DCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
$ YT, G, Z, 0 )
END IF
IF (RORDER) THEN
CALL DCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
$ YT, G, Z, 1 )
END IF
GO TO 200
* Test DSYR2, 15, and DSPR2, 16.
190 IF (CORDER) THEN
CALL DCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
$ YT, G, Z, 0 )
END IF
IF (RORDER) THEN
CALL DCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
$ YT, G, Z, 1 )
END IF
*
200 IF( FATAL.AND.SFATAL )
$ GO TO 220
END IF
210 CONTINUE
WRITE( NOUT, FMT = 9982 )
GO TO 240
*
220 CONTINUE
WRITE( NOUT, FMT = 9981 )
GO TO 240
*
230 CONTINUE
WRITE( NOUT, FMT = 9987 )
*
240 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( ' VALUE OF K IS LESS THAN 0' )
9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
$ I2 )
9993 FORMAT( ' TESTS OF THE DOUBLE PRECISION LEVEL 2 BLAS', //' THE F',
$ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
9992 FORMAT( ' FOR N ', 9I6 )
9991 FORMAT( ' FOR K ', 7I6 )
9990 FORMAT( ' FOR INCX AND INCY ', 7I6 )
9989 FORMAT( ' FOR ALPHA ', 7F6.1 )
9988 FORMAT( ' FOR BETA ', 7F6.1 )
9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
$ /' ******* TESTS ABANDONED *******' )
9986 FORMAT( ' SUBPROGRAM NAME ',A12, ' NOT RECOGNIZED', /' ******* T',
$ 'ESTS ABANDONED *******' )
9985 FORMAT( ' ERROR IN DMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
$ 'ATED WRONGLY.', /' DMVCH WAS CALLED WITH TRANS = ', A1,
$ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', /
$ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.'
$ , /' ******* TESTS ABANDONED *******' )
9984 FORMAT(A12, L2 )
9983 FORMAT( 1X,A12, ' WAS NOT TESTED' )
9982 FORMAT( /' END OF TESTS' )
9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
*
* End of DBLAT2.
*
END
SUBROUTINE DCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
$ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
$ XS, Y, YY, YS, YT, G, IORDER )
*
* Tests DGEMV and DGBMV.
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, 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 ), BET( NBET ), G( NMAX ),
$ X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL
INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY,
$ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA,
$ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK,
$ NL, NS
LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN
CHARACTER*1 TRANS, TRANSS
CHARACTER*14 CTRANS
CHARACTER*3 ICH
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* .. External Subroutines ..
EXTERNAL CDGBMV, CDGEMV, DMAKE, DMVCH
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX, MIN
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK
* .. Data statements ..
DATA ICH/'NTC'/
* .. Executable Statements ..
FULL = SNAME( 9: 9 ).EQ.'e'
BANDED = SNAME( 9: 9 ).EQ.'b'
* Define the number of arguments.
IF( FULL )THEN
NARGS = 11
ELSE IF( BANDED )THEN
NARGS = 13
END IF
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
*
DO 120 IN = 1, NIDIM
N = IDIM( IN )
ND = N/2 + 1
*
DO 110 IM = 1, 2
IF( IM.EQ.1 )
$ M = MAX( N - ND, 0 )
IF( IM.EQ.2 )
$ M = MIN( N + ND, NMAX )
*
IF( BANDED )THEN
NK = NKB
ELSE
NK = 1
END IF
DO 100 IKU = 1, NK
IF( BANDED )THEN
KU = KB( IKU )
KL = MAX( KU - 1, 0 )
ELSE
KU = N - 1
KL = M - 1
END IF
* Set LDA to 1 more than minimum value if room.
IF( BANDED )THEN
LDA = KL + KU + 1
ELSE
LDA = M
END IF
IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF( LDA.GT.NMAX )
$ GO TO 100
LAA = LDA*N
NULL = N.LE.0.OR.M.LE.0
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
$ LDA, KL, KU, RESET, TRANSL )
*
DO 90 IC = 1, 3
TRANS = ICH( IC: IC )
IF (TRANS.EQ.'N')THEN
CTRANS = ' CblasNoTrans'
ELSE IF (TRANS.EQ.'T')THEN
CTRANS = ' CblasTrans'
ELSE
CTRANS = 'CblasConjTrans'
END IF
TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
*
IF( TRAN )THEN
ML = N
NL = M
ELSE
ML = M
NL = N
END IF
*
DO 80 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*NL
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE( 'ge', ' ', ' ', 1, NL, X, 1, XX,
$ ABS( INCX ), 0, NL - 1, RESET, TRANSL )
IF( NL.GT.1 )THEN
X( NL/2 ) = ZERO
XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
END IF
*
DO 70 IY = 1, NINC
INCY = INC( IY )
LY = ABS( INCY )*ML
*
DO 60 IA = 1, NALF
ALPHA = ALF( IA )
*
DO 50 IB = 1, NBET
BETA = BET( IB )
*
* Generate the vector Y.
*
TRANSL = ZERO
CALL DMAKE( 'ge', ' ', ' ', 1, ML, Y, 1,
$ YY, ABS( INCY ), 0, ML - 1,
$ RESET, TRANSL )
*
NC = NC + 1
*
* Save every datum before calling the
* subroutine.
*
TRANSS = TRANS
MS = M
NS = N
KLS = KL
KUS = KU
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
DO 20 I = 1, LX
XS( I ) = XX( I )
20 CONTINUE
INCXS = INCX
BLS = BETA
DO 30 I = 1, LY
YS( I ) = YY( I )
30 CONTINUE
INCYS = INCY
*
* Call the subroutine.
*
IF( FULL )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
$ CTRANS, M, N, ALPHA, LDA, INCX,
$ BETA, INCY
IF( REWI )
$ REWIND NTRA
CALL CDGEMV( IORDER, TRANS, M, N,
$ ALPHA, AA, LDA, XX, INCX,
$ BETA, YY, INCY )
ELSE IF( BANDED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
$ CTRANS, M, N, KL, KU, ALPHA, LDA,
$ INCX, BETA, INCY
IF( REWI )
$ REWIND NTRA
CALL CDGBMV( IORDER, TRANS, M, N, KL,
$ KU, ALPHA, AA, LDA, XX,
$ INCX, BETA, YY, INCY )
END IF
*
* Check if error-exit was taken incorrectly.
*
IF( .NOT.OK )THEN
WRITE( NOUT, FMT = 9993 )
FATAL = .TRUE.
GO TO 130
END IF
*
* See what data changed inside subroutines.
*
ISAME( 1 ) = TRANS.EQ.TRANSS
ISAME( 2 ) = MS.EQ.M
ISAME( 3 ) = NS.EQ.N
IF( FULL )THEN
ISAME( 4 ) = ALS.EQ.ALPHA
ISAME( 5 ) = LDE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
ISAME( 7 ) = LDE( XS, XX, LX )
ISAME( 8 ) = INCXS.EQ.INCX
ISAME( 9 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 10 ) = LDE( YS, YY, LY )
ELSE
ISAME( 10 ) = LDERES( 'ge', ' ', 1,
$ ML, YS, YY,
$ ABS( INCY ) )
END IF
ISAME( 11 ) = INCYS.EQ.INCY
ELSE IF( BANDED )THEN
ISAME( 4 ) = KLS.EQ.KL
ISAME( 5 ) = KUS.EQ.KU
ISAME( 6 ) = ALS.EQ.ALPHA
ISAME( 7 ) = LDE( AS, AA, LAA )
ISAME( 8 ) = LDAS.EQ.LDA
ISAME( 9 ) = LDE( XS, XX, LX )
ISAME( 10 ) = INCXS.EQ.INCX
ISAME( 11 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 12 ) = LDE( YS, YY, LY )
ELSE
ISAME( 12 ) = LDERES( 'ge', ' ', 1,
$ ML, YS, YY,
$ ABS( INCY ) )
END IF
ISAME( 13 ) = INCYS.EQ.INCY
END IF
*
* 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 130
END IF
*
IF( .NOT.NULL )THEN
*
* Check the result.
*
CALL DMVCH( TRANS, M, N, ALPHA, A,
$ NMAX, X, INCX, BETA, Y,
$ INCY, YT, G, YY, EPS, ERR,
$ FATAL, NOUT, .TRUE. )
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and
* return.
IF( FATAL )
$ GO TO 130
ELSE
* Avoid repeating tests with M.le.0 or
* N.le.0.
GO TO 110
END IF
*
50 CONTINUE
*
60 CONTINUE
*
70 CONTINUE
*
80 CONTINUE
*
90 CONTINUE
*
100 CONTINUE
*
110 CONTINUE
*
120 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 140
*
130 CONTINUE
WRITE( NOUT, FMT = 9996 )SNAME
IF( FULL )THEN
WRITE( NOUT, FMT = 9994 )NC, SNAME, CTRANS, M, N, ALPHA, LDA,
$ INCX, BETA, INCY
ELSE IF( BANDED )THEN
WRITE( NOUT, FMT = 9995 )NC, SNAME, CTRANS, M, N, KL, KU,
$ ALPHA, LDA, INCX, BETA, INCY
END IF
*
140 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 *******' )
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 4( I3, ',' ), F4.1,
$ ', A,', I3, ',',/ 10x,'X,', I2, ',', F4.1, ', Y,',
$ I2, ') .' )
9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), F4.1,
$ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2,
$ ') .' )
9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of DCHK1.
*
END
SUBROUTINE DCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
$ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
$ XS, Y, YY, YS, YT, G, IORDER )
*
* Tests DSYMV, DSBMV and DSPMV.
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, 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 ), BET( NBET ), G( NMAX ),
$ X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL
INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY,
$ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY,
$ N, NARGS, NC, NK, NS
LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
CHARACTER*1 UPLO, UPLOS
CHARACTER*14 CUPLO
CHARACTER*2 ICH
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* .. External Subroutines ..
EXTERNAL DMAKE, DMVCH, CDSBMV, CDSPMV, CDSYMV
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK
* .. Data statements ..
DATA ICH/'UL'/
* .. Executable Statements ..
FULL = SNAME( 9: 9 ).EQ.'y'
BANDED = SNAME( 9: 9 ).EQ.'b'
PACKED = SNAME( 9: 9 ).EQ.'p'
* Define the number of arguments.
IF( FULL )THEN
NARGS = 10
ELSE IF( BANDED )THEN
NARGS = 11
ELSE IF( PACKED )THEN
NARGS = 9
END IF
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
*
DO 110 IN = 1, NIDIM
N = IDIM( IN )
*
IF( BANDED )THEN
NK = NKB
ELSE
NK = 1
END IF
DO 100 IK = 1, NK
IF( BANDED )THEN
K = KB( IK )
ELSE
K = N - 1
END IF
* Set LDA to 1 more than minimum value if room.
IF( BANDED )THEN
LDA = K + 1
ELSE
LDA = N
END IF
IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF( LDA.GT.NMAX )
$ GO TO 100
IF( PACKED )THEN
LAA = ( N*( N + 1 ) )/2
ELSE
LAA = LDA*N
END IF
NULL = N.LE.0
*
DO 90 IC = 1, 2
UPLO = ICH( IC: IC )
IF (UPLO.EQ.'U')THEN
CUPLO = ' CblasUpper'
ELSE
CUPLO = ' CblasLower'
END IF
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX, AA,
$ LDA, K, K, RESET, TRANSL )
*
DO 80 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*N
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
$ ABS( INCX ), 0, N - 1, RESET, TRANSL )
IF( N.GT.1 )THEN
X( N/2 ) = ZERO
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
END IF
*
DO 70 IY = 1, NINC
INCY = INC( IY )
LY = ABS( INCY )*N
*
DO 60 IA = 1, NALF
ALPHA = ALF( IA )
*
DO 50 IB = 1, NBET
BETA = BET( IB )
*
* Generate the vector Y.
*
TRANSL = ZERO
CALL DMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
$ ABS( INCY ), 0, N - 1, RESET,
$ TRANSL )
*
NC = NC + 1
*
* Save every datum before calling the
* subroutine.
*
UPLOS = UPLO
NS = N
KS = K
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
DO 20 I = 1, LX
XS( I ) = XX( I )
20 CONTINUE
INCXS = INCX
BLS = BETA
DO 30 I = 1, LY
YS( I ) = YY( I )
30 CONTINUE
INCYS = INCY
*
* Call the subroutine.
*
IF( FULL )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
$ CUPLO, N, ALPHA, LDA, INCX, BETA, INCY
IF( REWI )
$ REWIND NTRA
CALL CDSYMV( IORDER, UPLO, N, ALPHA, AA,
$ LDA, XX, INCX, BETA, YY, INCY )
ELSE IF( BANDED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
$ CUPLO, N, K, ALPHA, LDA, INCX, BETA,
$ INCY
IF( REWI )
$ REWIND NTRA
CALL CDSBMV( IORDER, UPLO, N, K, ALPHA,
$ AA, LDA, XX, INCX, BETA, YY,
$ INCY )
ELSE IF( PACKED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
$ CUPLO, N, ALPHA, INCX, BETA, INCY
IF( REWI )
$ REWIND NTRA
CALL CDSPMV( IORDER, UPLO, N, ALPHA, AA,
$ XX, INCX, BETA, YY, INCY )
END IF
*
* Check if error-exit was taken incorrectly.
*
IF( .NOT.OK )THEN
WRITE( NOUT, FMT = 9992 )
FATAL = .TRUE.
GO TO 120
END IF
*
* See what data changed inside subroutines.
*
ISAME( 1 ) = UPLO.EQ.UPLOS
ISAME( 2 ) = NS.EQ.N
IF( FULL )THEN
ISAME( 3 ) = ALS.EQ.ALPHA
ISAME( 4 ) = LDE( AS, AA, LAA )
ISAME( 5 ) = LDAS.EQ.LDA
ISAME( 6 ) = LDE( XS, XX, LX )
ISAME( 7 ) = INCXS.EQ.INCX
ISAME( 8 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 9 ) = LDE( YS, YY, LY )
ELSE
ISAME( 9 ) = LDERES( 'ge', ' ', 1, N,
$ YS, YY, ABS( INCY ) )
END IF
ISAME( 10 ) = INCYS.EQ.INCY
ELSE IF( BANDED )THEN
ISAME( 3 ) = KS.EQ.K
ISAME( 4 ) = ALS.EQ.ALPHA
ISAME( 5 ) = LDE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
ISAME( 7 ) = LDE( XS, XX, LX )
ISAME( 8 ) = INCXS.EQ.INCX
ISAME( 9 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 10 ) = LDE( YS, YY, LY )
ELSE
ISAME( 10 ) = LDERES( 'ge', ' ', 1, N,
$ YS, YY, ABS( INCY ) )
END IF
ISAME( 11 ) = INCYS.EQ.INCY
ELSE IF( PACKED )THEN
ISAME( 3 ) = ALS.EQ.ALPHA
ISAME( 4 ) = LDE( AS, AA, LAA )
ISAME( 5 ) = LDE( XS, XX, LX )
ISAME( 6 ) = INCXS.EQ.INCX
ISAME( 7 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 8 ) = LDE( YS, YY, LY )
ELSE
ISAME( 8 ) = LDERES( 'ge', ' ', 1, N,
$ YS, YY, ABS( INCY ) )
END IF
ISAME( 9 ) = INCYS.EQ.INCY
END IF
*
* 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 DMVCH( 'N', N, N, ALPHA, A, NMAX, X,
$ INCX, BETA, Y, INCY, YT, G,
$ YY, EPS, ERR, FATAL, NOUT,
$ .TRUE. )
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and
* return.
IF( FATAL )
$ GO TO 120
ELSE
* Avoid repeating tests with N.le.0
GO TO 110
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
IF( FULL )THEN
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, LDA, INCX,
$ BETA, INCY
ELSE IF( BANDED )THEN
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
$ INCX, BETA, INCY
ELSE IF( PACKED )THEN
WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
$ BETA, INCY
END IF
*
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 *******' )
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', AP',
$ ', X,', I2, ',', F4.1, ', Y,', I2, ') .' )
9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), F4.1,
$ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2,
$ ') .' )
9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', A,',
$ I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' )
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of DCHK2.
*
END
SUBROUTINE DCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX,
$ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z, IORDER )
*
* Tests DTRMV, DTBMV, DTPMV, DTRSV, DTBSV and DTPSV.
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF, ONE
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
$ IORDER
LOGICAL FATAL, REWI, TRACE
CHARACTER*12 SNAME
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ),
$ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
$ XS( NMAX*INCMAX ), XT( NMAX ),
$ XX( NMAX*INCMAX ), Z( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
DOUBLE PRECISION ERR, ERRMAX, TRANSL
INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K,
$ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS
LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS
CHARACTER*14 CUPLO,CTRANS,CDIAG
CHARACTER*2 ICHD, ICHU
CHARACTER*3 ICHT
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* .. External Subroutines ..
EXTERNAL DMAKE, DMVCH, CDTBMV, CDTBSV, CDTPMV,
$ CDTPSV, CDTRMV, CDTRSV
* .. Intrinsic Functions ..
INTRINSIC ABS, 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'/
* .. Executable Statements ..
FULL = SNAME( 9: 9 ).EQ.'r'
BANDED = SNAME( 9: 9 ).EQ.'b'
PACKED = SNAME( 9: 9 ).EQ.'p'
* Define the number of arguments.
IF( FULL )THEN
NARGS = 8
ELSE IF( BANDED )THEN
NARGS = 9
ELSE IF( PACKED )THEN
NARGS = 7
END IF
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
* Set up zero vector for DMVCH.
DO 10 I = 1, NMAX
Z( I ) = ZERO
10 CONTINUE
*
DO 110 IN = 1, NIDIM
N = IDIM( IN )
*
IF( BANDED )THEN
NK = NKB
ELSE
NK = 1
END IF
DO 100 IK = 1, NK
IF( BANDED )THEN
K = KB( IK )
ELSE
K = N - 1
END IF
* Set LDA to 1 more than minimum value if room.
IF( BANDED )THEN
LDA = K + 1
ELSE
LDA = N
END IF
IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF( LDA.GT.NMAX )
$ GO TO 100
IF( PACKED )THEN
LAA = ( N*( N + 1 ) )/2
ELSE
LAA = LDA*N
END IF
NULL = N.LE.0
*
DO 90 ICU = 1, 2
UPLO = ICHU( ICU: ICU )
IF (UPLO.EQ.'U')THEN
CUPLO = ' CblasUpper'
ELSE
CUPLO = ' CblasLower'
END IF
*
DO 80 ICT = 1, 3
TRANS = ICHT( ICT: ICT )
IF (TRANS.EQ.'N')THEN
CTRANS = ' CblasNoTrans'
ELSE IF (TRANS.EQ.'T')THEN
CTRANS = ' CblasTrans'
ELSE
CTRANS = 'CblasConjTrans'
END IF
*
DO 70 ICD = 1, 2
DIAG = ICHD( ICD: ICD )
IF (DIAG.EQ.'N')THEN
CDIAG = ' CblasNonUnit'
ELSE
CDIAG = ' CblasUnit'
END IF
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME( 8: 9 ), UPLO, DIAG, N, N, A,
$ NMAX, AA, LDA, K, K, RESET, TRANSL )
*
DO 60 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*N
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
$ ABS( INCX ), 0, N - 1, RESET,
$ TRANSL )
IF( N.GT.1 )THEN
X( N/2 ) = ZERO
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
END IF
*
NC = NC + 1
*
* Save every datum before calling the subroutine.
*
UPLOS = UPLO
TRANSS = TRANS
DIAGS = DIAG
NS = N
KS = K
DO 20 I = 1, LAA
AS( I ) = AA( I )
20 CONTINUE
LDAS = LDA
DO 30 I = 1, LX
XS( I ) = XX( I )
30 CONTINUE
INCXS = INCX
*
* Call the subroutine.
*
IF( SNAME( 10: 11 ).EQ.'mv' )THEN
IF( FULL )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
$ CUPLO, CTRANS, CDIAG, N, LDA, INCX
IF( REWI )
$ REWIND NTRA
CALL CDTRMV( IORDER, UPLO, TRANS, DIAG,
$ N, AA, LDA, XX, INCX )
ELSE IF( BANDED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
$ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
IF( REWI )
$ REWIND NTRA
CALL CDTBMV( IORDER, UPLO, TRANS, DIAG,
$ N, K, AA, LDA, XX, INCX )
ELSE IF( PACKED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
$ CUPLO, CTRANS, CDIAG, N, INCX
IF( REWI )
$ REWIND NTRA
CALL CDTPMV( IORDER, UPLO, TRANS, DIAG,
$ N, AA, XX, INCX )
END IF
ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
IF( FULL )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
$ CUPLO, CTRANS, CDIAG, N, LDA, INCX
IF( REWI )
$ REWIND NTRA
CALL CDTRSV( IORDER, UPLO, TRANS, DIAG,
$ N, AA, LDA, XX, INCX )
ELSE IF( BANDED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
$ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
IF( REWI )
$ REWIND NTRA
CALL CDTBSV( IORDER, UPLO, TRANS, DIAG,
$ N, K, AA, LDA, XX, INCX )
ELSE IF( PACKED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
$ CUPLO, CTRANS, CDIAG, N, INCX
IF( REWI )
$ REWIND NTRA
CALL CDTPSV( IORDER, UPLO, TRANS, DIAG,
$ N, AA, XX, INCX )
END IF
END IF
*
* Check if error-exit was taken incorrectly.
*
IF( .NOT.OK )THEN
WRITE( NOUT, FMT = 9992 )
FATAL = .TRUE.
GO TO 120
END IF
*
* See what data changed inside subroutines.
*
ISAME( 1 ) = UPLO.EQ.UPLOS
ISAME( 2 ) = TRANS.EQ.TRANSS
ISAME( 3 ) = DIAG.EQ.DIAGS
ISAME( 4 ) = NS.EQ.N
IF( FULL )THEN
ISAME( 5 ) = LDE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
IF( NULL )THEN
ISAME( 7 ) = LDE( XS, XX, LX )
ELSE
ISAME( 7 ) = LDERES( 'ge', ' ', 1, N, XS,
$ XX, ABS( INCX ) )
END IF
ISAME( 8 ) = INCXS.EQ.INCX
ELSE IF( BANDED )THEN
ISAME( 5 ) = KS.EQ.K
ISAME( 6 ) = LDE( AS, AA, LAA )
ISAME( 7 ) = LDAS.EQ.LDA
IF( NULL )THEN
ISAME( 8 ) = LDE( XS, XX, LX )
ELSE
ISAME( 8 ) = LDERES( 'ge', ' ', 1, N, XS,
$ XX, ABS( INCX ) )
END IF
ISAME( 9 ) = INCXS.EQ.INCX
ELSE IF( PACKED )THEN
ISAME( 5 ) = LDE( AS, AA, LAA )
IF( NULL )THEN
ISAME( 6 ) = LDE( XS, XX, LX )
ELSE
ISAME( 6 ) = LDERES( 'ge', ' ', 1, N, XS,
$ XX, ABS( INCX ) )
END IF
ISAME( 7 ) = INCXS.EQ.INCX
END IF
*
* 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
IF( SNAME( 10: 11 ).EQ.'mv' )THEN
*
* Check the result.
*
CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X,
$ INCX, ZERO, Z, INCX, XT, G,
$ XX, EPS, ERR, FATAL, NOUT,
$ .TRUE. )
ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
*
* Compute approximation to original vector.
*
DO 50 I = 1, N
Z( I ) = XX( 1 + ( I - 1 )*
$ ABS( INCX ) )
XX( 1 + ( I - 1 )*ABS( INCX ) )
$ = X( I )
50 CONTINUE
CALL DMVCH( TRANS, N, N, ONE, A, NMAX, Z,
$ INCX, ZERO, X, INCX, XT, G,
$ XX, EPS, ERR, FATAL, NOUT,
$ .FALSE. )
END IF
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and return.
IF( FATAL )
$ GO TO 120
ELSE
* Avoid repeating tests with N.le.0.
GO TO 110
END IF
*
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
IF( FULL )THEN
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
$ LDA, INCX
ELSE IF( BANDED )THEN
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N, K,
$ LDA, INCX
ELSE IF( PACKED )THEN
WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
$ INCX
END IF
*
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 *******' )
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
9995 FORMAT( 1X, I6, ': ',A12, '(', 3( A14,',' ),/ 10x, I3, ', AP, ',
$ 'X,', I2, ') .' )
9994 FORMAT( 1X, I6, ': ',A12, '(', 3( A14,',' ),/ 10x, 2( I3, ',' ),
$ ' A,', I3, ', X,', I2, ') .' )
9993 FORMAT( 1X, I6, ': ',A12, '(', 3( A14,',' ),/ 10x, I3, ', A,',
$ I3, ', X,', I2, ') .' )
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of DCHK3.
*
END
SUBROUTINE DCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
$ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
$ Z, IORDER )
*
* Tests DGER.
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF, ONE
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, 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 ), G( NMAX ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX, TRANSL
INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX,
$ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS,
$ NC, ND, NS
LOGICAL NULL, RESET, SAME
* .. Local Arrays ..
DOUBLE PRECISION W( 1 )
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* .. External Subroutines ..
EXTERNAL DGER, DMAKE, DMVCH
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX, MIN
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK
* .. Executable Statements ..
* Define the number of arguments.
NARGS = 9
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
*
DO 120 IN = 1, NIDIM
N = IDIM( IN )
ND = N/2 + 1
*
DO 110 IM = 1, 2
IF( IM.EQ.1 )
$ M = MAX( N - ND, 0 )
IF( IM.EQ.2 )
$ M = MIN( N + ND, NMAX )
*
* Set LDA to 1 more than minimum value if room.
LDA = M
IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF( LDA.GT.NMAX )
$ GO TO 110
LAA = LDA*N
NULL = N.LE.0.OR.M.LE.0
*
DO 100 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*M
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE( 'ge', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ),
$ 0, M - 1, RESET, TRANSL )
IF( M.GT.1 )THEN
X( M/2 ) = ZERO
XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
END IF
*
DO 90 IY = 1, NINC
INCY = INC( IY )
LY = ABS( INCY )*N
*
* Generate the vector Y.
*
TRANSL = ZERO
CALL DMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
$ ABS( INCY ), 0, N - 1, RESET, TRANSL )
IF( N.GT.1 )THEN
Y( N/2 ) = ZERO
YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
END IF
*
DO 80 IA = 1, NALF
ALPHA = ALF( IA )
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX,
$ AA, LDA, M - 1, N - 1, RESET, TRANSL )
*
NC = NC + 1
*
* Save every datum before calling the subroutine.
*
MS = M
NS = N
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
DO 20 I = 1, LX
XS( I ) = XX( I )
20 CONTINUE
INCXS = INCX
DO 30 I = 1, LY
YS( I ) = YY( I )
30 CONTINUE
INCYS = INCY
*
* Call the subroutine.
*
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
$ ALPHA, INCX, INCY, LDA
IF( REWI )
$ REWIND NTRA
CALL CDGER( IORDER, M, N, ALPHA, XX, INCX, YY,
$ INCY, AA, LDA )
*
* Check if error-exit was taken incorrectly.
*
IF( .NOT.OK )THEN
WRITE( NOUT, FMT = 9993 )
FATAL = .TRUE.
GO TO 140
END IF
*
* See what data changed inside subroutine.
*
ISAME( 1 ) = MS.EQ.M
ISAME( 2 ) = NS.EQ.N
ISAME( 3 ) = ALS.EQ.ALPHA
ISAME( 4 ) = LDE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
ISAME( 6 ) = LDE( YS, YY, LY )
ISAME( 7 ) = INCYS.EQ.INCY
IF( NULL )THEN
ISAME( 8 ) = LDE( AS, AA, LAA )
ELSE
ISAME( 8 ) = LDERES( 'ge', ' ', M, N, AS, AA,
$ LDA )
END IF
ISAME( 9 ) = LDAS.EQ.LDA
*
* 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 140
END IF
*
IF( .NOT.NULL )THEN
*
* Check the result column by column.
*
IF( INCX.GT.0 )THEN
DO 50 I = 1, M
Z( I ) = X( I )
50 CONTINUE
ELSE
DO 60 I = 1, M
Z( I ) = X( M - I + 1 )
60 CONTINUE
END IF
DO 70 J = 1, N
IF( INCY.GT.0 )THEN
W( 1 ) = Y( J )
ELSE
W( 1 ) = Y( N - J + 1 )
END IF
CALL DMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1,
$ ONE, A( 1, J ), 1, YT, G,
$ AA( 1 + ( J - 1 )*LDA ), EPS,
$ ERR, FATAL, NOUT, .TRUE. )
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and return.
IF( FATAL )
$ GO TO 130
70 CONTINUE
ELSE
* Avoid repeating tests with M.le.0 or N.le.0.
GO TO 110
END IF
*
80 CONTINUE
*
90 CONTINUE
*
100 CONTINUE
*
110 CONTINUE
*
120 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 150
*
130 CONTINUE
WRITE( NOUT, FMT = 9995 )J
*
140 CONTINUE
WRITE( NOUT, FMT = 9996 )SNAME
WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
*
150 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 *******' )
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
9994 FORMAT( 1X, I6, ': ',A12, '(', 2( I3, ',' ), F4.1, ', X,', I2,
$ ', Y,', I2, ', A,', I3, ') .' )
9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of DCHK4.
*
END
SUBROUTINE DCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
$ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
$ Z, IORDER )
*
* Tests DSYR and DSPR.
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF, ONE
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, 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 ), G( NMAX ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX, TRANSL
INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA,
$ LDA, LDAS, LJ, LX, N, NARGS, NC, NS
LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
CHARACTER*1 UPLO, UPLOS
CHARACTER*14 CUPLO
CHARACTER*2 ICH
* .. Local Arrays ..
DOUBLE PRECISION W( 1 )
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* .. External Subroutines ..
EXTERNAL DMAKE, DMVCH, CDSPR, CDSYR
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK
* .. Data statements ..
DATA ICH/'UL'/
* .. Executable Statements ..
FULL = SNAME( 9: 9 ).EQ.'y'
PACKED = SNAME( 9: 9 ).EQ.'p'
* Define the number of arguments.
IF( FULL )THEN
NARGS = 7
ELSE IF( PACKED )THEN
NARGS = 6
END IF
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
*
DO 100 IN = 1, NIDIM
N = IDIM( IN )
* Set LDA to 1 more than minimum value if room.
LDA = N
IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF( LDA.GT.NMAX )
$ GO TO 100
IF( PACKED )THEN
LAA = ( N*( N + 1 ) )/2
ELSE
LAA = LDA*N
END IF
*
DO 90 IC = 1, 2
UPLO = ICH( IC: IC )
IF (UPLO.EQ.'U')THEN
CUPLO = ' CblasUpper'
ELSE
CUPLO = ' CblasLower'
END IF
UPPER = UPLO.EQ.'U'
*
DO 80 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*N
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
$ 0, N - 1, RESET, TRANSL )
IF( N.GT.1 )THEN
X( N/2 ) = ZERO
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
END IF
*
DO 70 IA = 1, NALF
ALPHA = ALF( IA )
NULL = N.LE.0.OR.ALPHA.EQ.ZERO
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX,
$ AA, LDA, N - 1, N - 1, RESET, TRANSL )
*
NC = NC + 1
*
* Save every datum before calling the subroutine.
*
UPLOS = UPLO
NS = N
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
DO 20 I = 1, LX
XS( I ) = XX( I )
20 CONTINUE
INCXS = INCX
*
* Call the subroutine.
*
IF( FULL )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
$ ALPHA, INCX, LDA
IF( REWI )
$ REWIND NTRA
CALL CDSYR( IORDER, UPLO, N, ALPHA, XX, INCX,
$ AA, LDA )
ELSE IF( PACKED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
$ ALPHA, INCX
IF( REWI )
$ REWIND NTRA
CALL CDSPR( IORDER, UPLO, N, ALPHA, XX, INCX, AA )
END IF
*
* Check if error-exit was taken incorrectly.
*
IF( .NOT.OK )THEN
WRITE( NOUT, FMT = 9992 )
FATAL = .TRUE.
GO TO 120
END IF
*
* See what data changed inside subroutines.
*
ISAME( 1 ) = UPLO.EQ.UPLOS
ISAME( 2 ) = NS.EQ.N
ISAME( 3 ) = ALS.EQ.ALPHA
ISAME( 4 ) = LDE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
IF( NULL )THEN
ISAME( 6 ) = LDE( AS, AA, LAA )
ELSE
ISAME( 6 ) = LDERES( SNAME( 8: 9 ), UPLO, N, N, AS,
$ AA, LDA )
END IF
IF( .NOT.PACKED )THEN
ISAME( 7 ) = LDAS.EQ.LDA
END IF
*
* 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.
*
IF( INCX.GT.0 )THEN
DO 40 I = 1, N
Z( I ) = X( I )
40 CONTINUE
ELSE
DO 50 I = 1, N
Z( I ) = X( N - I + 1 )
50 CONTINUE
END IF
JA = 1
DO 60 J = 1, N
W( 1 ) = Z( J )
IF( UPPER )THEN
JJ = 1
LJ = J
ELSE
JJ = J
LJ = N - J + 1
END IF
CALL DMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W,
$ 1, ONE, A( JJ, J ), 1, YT, G,
$ AA( JA ), EPS, ERR, FATAL, NOUT,
$ .TRUE. )
IF( FULL )THEN
IF( UPPER )THEN
JA = JA + LDA
ELSE
JA = JA + LDA + 1
END IF
ELSE
JA = JA + LJ
END IF
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and return.
IF( FATAL )
$ GO TO 110
60 CONTINUE
ELSE
* Avoid repeating tests if N.le.0.
IF( N.LE.0 )
$ GO TO 100
END IF
*
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
WRITE( NOUT, FMT = 9995 )J
*
120 CONTINUE
WRITE( NOUT, FMT = 9996 )SNAME
IF( FULL )THEN
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX, LDA
ELSE IF( PACKED )THEN
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX
END IF
*
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 *******' )
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
$ I2, ', AP) .' )
9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
$ I2, ', A,', I3, ') .' )
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of DCHK5.
*
END
SUBROUTINE DCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
$ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
$ Z, IORDER )
*
* Tests DSYR2 and DSPR2.
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF, ONE
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, 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 ), G( NMAX ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX, 2 )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX, TRANSL
INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX,
$ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N,
$ NARGS, NC, NS
LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
CHARACTER*1 UPLO, UPLOS
CHARACTER*14 CUPLO
CHARACTER*2 ICH
* .. Local Arrays ..
DOUBLE PRECISION W( 2 )
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* .. External Subroutines ..
EXTERNAL DMAKE, DMVCH, CDSPR2, CDSYR2
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK
* .. Data statements ..
DATA ICH/'UL'/
* .. Executable Statements ..
FULL = SNAME( 9: 9 ).EQ.'y'
PACKED = SNAME( 9: 9 ).EQ.'p'
* Define the number of arguments.
IF( FULL )THEN
NARGS = 9
ELSE IF( PACKED )THEN
NARGS = 8
END IF
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
*
DO 140 IN = 1, NIDIM
N = IDIM( IN )
* Set LDA to 1 more than minimum value if room.
LDA = N
IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF( LDA.GT.NMAX )
$ GO TO 140
IF( PACKED )THEN
LAA = ( N*( N + 1 ) )/2
ELSE
LAA = LDA*N
END IF
*
DO 130 IC = 1, 2
UPLO = ICH( IC: IC )
IF (UPLO.EQ.'U')THEN
CUPLO = ' CblasUpper'
ELSE
CUPLO = ' CblasLower'
END IF
UPPER = UPLO.EQ.'U'
*
DO 120 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*N
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
$ 0, N - 1, RESET, TRANSL )
IF( N.GT.1 )THEN
X( N/2 ) = ZERO
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
END IF
*
DO 110 IY = 1, NINC
INCY = INC( IY )
LY = ABS( INCY )*N
*
* Generate the vector Y.
*
TRANSL = ZERO
CALL DMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
$ ABS( INCY ), 0, N - 1, RESET, TRANSL )
IF( N.GT.1 )THEN
Y( N/2 ) = ZERO
YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
END IF
*
DO 100 IA = 1, NALF
ALPHA = ALF( IA )
NULL = N.LE.0.OR.ALPHA.EQ.ZERO
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A,
$ NMAX, AA, LDA, N - 1, N - 1, RESET,
$ TRANSL )
*
NC = NC + 1
*
* Save every datum before calling the subroutine.
*
UPLOS = UPLO
NS = N
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
DO 20 I = 1, LX
XS( I ) = XX( I )
20 CONTINUE
INCXS = INCX
DO 30 I = 1, LY
YS( I ) = YY( I )
30 CONTINUE
INCYS = INCY
*
* Call the subroutine.
*
IF( FULL )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
$ ALPHA, INCX, INCY, LDA
IF( REWI )
$ REWIND NTRA
CALL CDSYR2( IORDER, UPLO, N, ALPHA, XX, INCX,
$ YY, INCY, AA, LDA )
ELSE IF( PACKED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
$ ALPHA, INCX, INCY
IF( REWI )
$ REWIND NTRA
CALL CDSPR2( IORDER, UPLO, N, ALPHA, XX, INCX,
$ YY, INCY, AA )
END IF
*
* Check if error-exit was taken incorrectly.
*
IF( .NOT.OK )THEN
WRITE( NOUT, FMT = 9992 )
FATAL = .TRUE.
GO TO 160
END IF
*
* See what data changed inside subroutines.
*
ISAME( 1 ) = UPLO.EQ.UPLOS
ISAME( 2 ) = NS.EQ.N
ISAME( 3 ) = ALS.EQ.ALPHA
ISAME( 4 ) = LDE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
ISAME( 6 ) = LDE( YS, YY, LY )
ISAME( 7 ) = INCYS.EQ.INCY
IF( NULL )THEN
ISAME( 8 ) = LDE( AS, AA, LAA )
ELSE
ISAME( 8 ) = LDERES( SNAME( 8: 9 ), UPLO, N, N,
$ AS, AA, LDA )
END IF
IF( .NOT.PACKED )THEN
ISAME( 9 ) = LDAS.EQ.LDA
END IF
*
* 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 160
END IF
*
IF( .NOT.NULL )THEN
*
* Check the result column by column.
*
IF( INCX.GT.0 )THEN
DO 50 I = 1, N
Z( I, 1 ) = X( I )
50 CONTINUE
ELSE
DO 60 I = 1, N
Z( I, 1 ) = X( N - I + 1 )
60 CONTINUE
END IF
IF( INCY.GT.0 )THEN
DO 70 I = 1, N
Z( I, 2 ) = Y( I )
70 CONTINUE
ELSE
DO 80 I = 1, N
Z( I, 2 ) = Y( N - I + 1 )
80 CONTINUE
END IF
JA = 1
DO 90 J = 1, N
W( 1 ) = Z( J, 2 )
W( 2 ) = Z( J, 1 )
IF( UPPER )THEN
JJ = 1
LJ = J
ELSE
JJ = J
LJ = N - J + 1
END IF
CALL DMVCH( 'N', LJ, 2, ALPHA, Z( JJ, 1 ),
$ NMAX, W, 1, ONE, A( JJ, J ), 1,
$ YT, G, AA( JA ), EPS, ERR, FATAL,
$ NOUT, .TRUE. )
IF( FULL )THEN
IF( UPPER )THEN
JA = JA + LDA
ELSE
JA = JA + LDA + 1
END IF
ELSE
JA = JA + LJ
END IF
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and return.
IF( FATAL )
$ GO TO 150
90 CONTINUE
ELSE
* Avoid repeating tests with N.le.0.
IF( N.LE.0 )
$ GO TO 140
END IF
*
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 170
*
150 CONTINUE
WRITE( NOUT, FMT = 9995 )J
*
160 CONTINUE
WRITE( NOUT, FMT = 9996 )SNAME
IF( FULL )THEN
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX,
$ INCY, LDA
ELSE IF( PACKED )THEN
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX, INCY
END IF
*
170 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 *******' )
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
$ I2, ', Y,', I2, ', AP) .' )
9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
$ I2, ', Y,', I2, ', A,', I3, ') .' )
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of DCHK6.
*
END
SUBROUTINE DMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
$ KU, RESET, TRANSL )
*
* Generates values for an M by N matrix A within the bandwidth
* defined by KL and KU.
* 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', 'gb', 'sy', 'sb', 'sp', 'tr', 'tb' OR 'tp'.
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. 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 KL, KU, LDA, M, N, NMAX
LOGICAL RESET
CHARACTER*1 DIAG, UPLO
CHARACTER*2 TYPE
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, * ), AA( * )
* .. Local Scalars ..
INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, KK
LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
* .. External Functions ..
DOUBLE PRECISION DBEG
EXTERNAL DBEG
* .. Intrinsic Functions ..
INTRINSIC MAX, MIN
* .. Executable Statements ..
GEN = TYPE( 1: 1 ).EQ.'g'
SYM = TYPE( 1: 1 ).EQ.'s'
TRI = TYPE( 1: 1 ).EQ.'t'
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
IF( ( I.LE.J.AND.J - I.LE.KU ).OR.
$ ( I.GE.J.AND.I - J.LE.KL ) )THEN
A( I, J ) = DBEG( RESET ) + TRANSL
ELSE
A( I, J ) = ZERO
END IF
IF( I.NE.J )THEN
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.'gb' )THEN
DO 90 J = 1, N
DO 60 I1 = 1, KU + 1 - J
AA( I1 + ( J - 1 )*LDA ) = ROGUE
60 CONTINUE
DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J )
AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J )
70 CONTINUE
DO 80 I3 = I2, LDA
AA( I3 + ( J - 1 )*LDA ) = ROGUE
80 CONTINUE
90 CONTINUE
ELSE IF( TYPE.EQ.'sy'.OR.TYPE.EQ.'tr' )THEN
DO 130 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 100 I = 1, IBEG - 1
AA( I + ( J - 1 )*LDA ) = ROGUE
100 CONTINUE
DO 110 I = IBEG, IEND
AA( I + ( J - 1 )*LDA ) = A( I, J )
110 CONTINUE
DO 120 I = IEND + 1, LDA
AA( I + ( J - 1 )*LDA ) = ROGUE
120 CONTINUE
130 CONTINUE
ELSE IF( TYPE.EQ.'sb'.OR.TYPE.EQ.'tb' )THEN
DO 170 J = 1, N
IF( UPPER )THEN
KK = KL + 1
IBEG = MAX( 1, KL + 2 - J )
IF( UNIT )THEN
IEND = KL
ELSE
IEND = KL + 1
END IF
ELSE
KK = 1
IF( UNIT )THEN
IBEG = 2
ELSE
IBEG = 1
END IF
IEND = MIN( KL + 1, 1 + M - J )
END IF
DO 140 I = 1, IBEG - 1
AA( I + ( J - 1 )*LDA ) = ROGUE
140 CONTINUE
DO 150 I = IBEG, IEND
AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J )
150 CONTINUE
DO 160 I = IEND + 1, LDA
AA( I + ( J - 1 )*LDA ) = ROGUE
160 CONTINUE
170 CONTINUE
ELSE IF( TYPE.EQ.'sp'.OR.TYPE.EQ.'tp' )THEN
IOFF = 0
DO 190 J = 1, N
IF( UPPER )THEN
IBEG = 1
IEND = J
ELSE
IBEG = J
IEND = N
END IF
DO 180 I = IBEG, IEND
IOFF = IOFF + 1
AA( IOFF ) = A( I, J )
IF( I.EQ.J )THEN
IF( UNIT )
$ AA( IOFF ) = ROGUE
END IF
180 CONTINUE
190 CONTINUE
END IF
RETURN
*
* End of DMAKE.
*
END
SUBROUTINE DMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
$ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )
*
* Checks the results of the computational tests.
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, ONE
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA, BETA, EPS, ERR
INTEGER INCX, INCY, M, N, NMAX, NOUT
LOGICAL FATAL, MV
CHARACTER*1 TRANS
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, * ), G( * ), X( * ), Y( * ), YT( * ),
$ YY( * )
* .. Local Scalars ..
DOUBLE PRECISION ERRI
INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
LOGICAL TRAN
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX, SQRT
* .. Executable Statements ..
TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
IF( TRAN )THEN
ML = N
NL = M
ELSE
ML = M
NL = N
END IF
IF( INCX.LT.0 )THEN
KX = NL
INCXL = -1
ELSE
KX = 1
INCXL = 1
END IF
IF( INCY.LT.0 )THEN
KY = ML
INCYL = -1
ELSE
KY = 1
INCYL = 1
END IF
*
* Compute expected result in YT using data in A, X and Y.
* Compute gauges in G.
*
IY = KY
DO 30 I = 1, ML
YT( IY ) = ZERO
G( IY ) = ZERO
JX = KX
IF( TRAN )THEN
DO 10 J = 1, NL
YT( IY ) = YT( IY ) + A( J, I )*X( JX )
G( IY ) = G( IY ) + ABS( A( J, I )*X( JX ) )
JX = JX + INCXL
10 CONTINUE
ELSE
DO 20 J = 1, NL
YT( IY ) = YT( IY ) + A( I, J )*X( JX )
G( IY ) = G( IY ) + ABS( A( I, J )*X( JX ) )
JX = JX + INCXL
20 CONTINUE
END IF
YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
G( IY ) = ABS( ALPHA )*G( IY ) + ABS( BETA*Y( IY ) )
IY = IY + INCYL
30 CONTINUE
*
* Compute the error ratio for this result.
*
ERR = ZERO
DO 40 I = 1, ML
ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
IF( G( I ).NE.ZERO )
$ ERRI = ERRI/G( I )
ERR = MAX( ERR, ERRI )
IF( ERR*SQRT( EPS ).GE.ONE )
$ GO TO 50
40 CONTINUE
* If the loop completes, all results are at least half accurate.
GO TO 70
*
* Report fatal error.
*
50 FATAL = .TRUE.
WRITE( NOUT, FMT = 9999 )
DO 60 I = 1, ML
IF( MV )THEN
WRITE( NOUT, FMT = 9998 )I, YT( I ),
$ YY( 1 + ( I - 1 )*ABS( INCY ) )
ELSE
WRITE( NOUT, FMT = 9998 )I,
$ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT(I)
END IF
60 CONTINUE
*
70 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 )
*
* End of DMVCH.
*
END
LOGICAL FUNCTION LDE( RI, RJ, LR )
*
* Tests if two arrays are identical.
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. 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', 'sy' or 'sp'.
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. 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 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Scalar Arguments ..
LOGICAL RESET
* .. Local Scalars ..
INTEGER I, IC, MI
* .. Save statement ..
SAVE I, IC, MI
* .. Intrinsic Functions ..
INTRINSIC DBLE
* .. 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 = DBLE( I - 500 )/1001.0D0
RETURN
*
* End of DBEG.
*
END
DOUBLE PRECISION FUNCTION DDIFF( X, Y )
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
*
* .. Scalar Arguments ..
DOUBLE PRECISION X, Y
* .. Executable Statements ..
DDIFF = X - Y
RETURN
*
* End of DDIFF.
*
END
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