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lapack/CBLAS/testing/c_zblat2.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
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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

2940 lines
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PROGRAM ZBLAT2
*
* Test program for the COMPLEX*16 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 17 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 34 lines:
* 'CBLAT2.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
* (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA
* 3 NUMBER OF VALUES OF BETA
* (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA
* cblas_zgemv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_zgbmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_zhemv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_zhbmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_zhpmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_ztrmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_ztbmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_ztpmv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_ztrsv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_ztbsv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_ztpsv T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_zgerc T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_zgeru T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_zher T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_zhpr T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_zher2 T PUT F FOR NO TEST. SAME COLUMNS.
* cblas_zhpr2 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 = 17 )
COMPLEX*16 ZERO, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO, RHALF, RONE
PARAMETER ( RZERO = 0.0D0, RHALF = 0.5D0, RONE = 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 ..
COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ),
$ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
$ X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( 2*NMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
LOGICAL LTEST( NSUBS )
CHARACTER*12 SNAMES( NSUBS )
* .. External Functions ..
DOUBLE PRECISION DDIFF
LOGICAL LZE
EXTERNAL DDIFF, LZE
* .. External Subroutines ..
EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5, ZCHK6,
$ CZ2CHKE, ZMVCH
* .. 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_zgemv ', 'cblas_zgbmv ',
$ 'cblas_zhemv ','cblas_zhbmv ','cblas_zhpmv ',
$ 'cblas_ztrmv ','cblas_ztbmv ','cblas_ztpmv ',
$ 'cblas_ztrsv ','cblas_ztbsv ','cblas_ztpsv ',
$ 'cblas_zgerc ','cblas_zgeru ','cblas_zher ',
$ 'cblas_zhpr ','cblas_zher2 ','cblas_zhpr2 '/
* .. Executable Statements ..
*
NOUTC = NOUT
*
* Read name and unit number for summary 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 = RONE
90 CONTINUE
IF( DDIFF( RONE + EPS, RONE ).EQ.RZERO )
$ GO TO 100
EPS = RHALF*EPS
GO TO 90
100 CONTINUE
EPS = EPS + EPS
WRITE( NOUT, FMT = 9998 )EPS
*
* Check the reliability of ZMVCH 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 CMVCH YT holds
* the result computed by CMVCH.
TRANS = 'N'
CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
$ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
SAME = LZE( YY, YT, N )
IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
STOP
END IF
TRANS = 'T'
CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
$ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
SAME = LZE( YY, YT, N )
IF( .NOT.SAME.OR.ERR.NE.RZERO )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 CZ2CHKE( 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, 170, 180,
$ 180, 190, 190 )ISNUM
* Test ZGEMV, 01, and ZGBMV, 02.
140 IF (CORDER) THEN
CALL ZCHK1( 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 ZCHK1( 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 ZHEMV, 03, ZHBMV, 04, and ZHPMV, 05.
150 IF (CORDER) THEN
CALL ZCHK2( 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 ZCHK2( 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 ZTRMV, 06, ZTBMV, 07, ZTPMV, 08,
* ZTRSV, 09, ZTBSV, 10, and ZTPSV, 11.
160 IF (CORDER) THEN
CALL ZCHK3( 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 ZCHK3( 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 ZGERC, 12, ZGERU, 13.
170 IF (CORDER) THEN
CALL ZCHK4( 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 ZCHK4( 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 ZHER, 14, and ZHPR, 15.
180 IF (CORDER) THEN
CALL ZCHK5( 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 ZCHK5( 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 ZHER2, 16, and ZHPR2, 17.
190 IF (CORDER) THEN
CALL ZCHK6( 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 ZCHK6( 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, E9.1 )
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 COMPLEX*16 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 ',
$ 7('(', F4.1, ',', F4.1, ') ', : ) )
9988 FORMAT( ' FOR BETA ',
$ 7('(', F4.1, ',', F4.1, ') ', : ) )
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 CMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
$ 'ATED WRONGLY.', /' CMVCH 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 ZBLAT2.
*
END
SUBROUTINE ZCHK1( 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 CGEMV and CGBMV.
*
* 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 ..
COMPLEX*16 ZERO, HALF
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ HALF = ( 0.5D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
* .. 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 ..
COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL
DOUBLE PRECISION ERR, ERRMAX
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 LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL CZGBMV, CZGEMV, ZMAKE, ZMVCH
* .. 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 = RZERO
*
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 ZMAKE( 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 ZMAKE( '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 ZMAKE( '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 CZGEMV( 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 CZGBMV( 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.
*
* IF(TRANS .NE. 'C' .OR. (INCX .GT. 0 .AND. INCY .GT. 0)) THEN
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 ) = LZE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
ISAME( 7 ) = LZE( XS, XX, LX )
ISAME( 8 ) = INCXS.EQ.INCX
ISAME( 9 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 10 ) = LZE( YS, YY, LY )
ELSE
ISAME( 10 ) = LZERES( '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 ) = LZE( AS, AA, LAA )
ISAME( 8 ) = LDAS.EQ.LDA
ISAME( 9 ) = LZE( XS, XX, LX )
ISAME( 10 ) = INCXS.EQ.INCX
ISAME( 11 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 12 ) = LZE( YS, YY, LY )
ELSE
ISAME( 12 ) = LZERES( '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 ZMVCH( 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
* 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
WRITE( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT, FMT = 9997 )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
*
9999 FORMAT(' ',A12, ' PASSED THE 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, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
$ F4.1, ',', F4.1, '), Y,', I2, ') .' )
9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
$ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
$ F4.1, ',', F4.1, '), Y,', I2, ') .' )
9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of ZCHK1.
*
END
SUBROUTINE ZCHK2( 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 CHEMV, CHBMV and CHPMV.
*
* 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 ..
COMPLEX*16 ZERO, HALF
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ HALF = ( 0.5D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
* .. 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 ..
COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL
DOUBLE PRECISION ERR, ERRMAX
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 LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL CZHBMV, CZHEMV, CZHPMV, ZMAKE, ZMVCH
* .. 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.'e'
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 = RZERO
*
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 ZMAKE( 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 ZMAKE( '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 ZMAKE( '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 CZHEMV( 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 CZHBMV( 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 CZHPMV( 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 ) = LZE( AS, AA, LAA )
ISAME( 5 ) = LDAS.EQ.LDA
ISAME( 6 ) = LZE( XS, XX, LX )
ISAME( 7 ) = INCXS.EQ.INCX
ISAME( 8 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 9 ) = LZE( YS, YY, LY )
ELSE
ISAME( 9 ) = LZERES( '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 ) = LZE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
ISAME( 7 ) = LZE( XS, XX, LX )
ISAME( 8 ) = INCXS.EQ.INCX
ISAME( 9 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 10 ) = LZE( YS, YY, LY )
ELSE
ISAME( 10 ) = LZERES( '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 ) = LZE( AS, AA, LAA )
ISAME( 5 ) = LZE( XS, XX, LX )
ISAME( 6 ) = INCXS.EQ.INCX
ISAME( 7 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 8 ) = LZE( YS, YY, LY )
ELSE
ISAME( 8 ) = LZERES( '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 ZMVCH( '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
WRITE( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT, FMT = 9997 )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
*
9999 FORMAT(' ',A12, ' PASSED THE 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, ',',
$ F4.1, '), AP, X,',/ 10x, I2, ',(', F4.1, ',', F4.1,
$ '), Y,', I2, ') .' )
9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
$ F4.1, ',', F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(',
$ F4.1, ',', F4.1, '), Y,', I2, ') .' )
9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
$ F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(', F4.1, ',',
$ F4.1, '), ', 'Y,', I2, ') .' )
9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of CZHK2.
*
END
SUBROUTINE ZCHK3( 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 ZTRMV, ZTBMV, ZTPMV, ZTRSV, ZTBSV and ZTPSV.
*
* 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 ..
COMPLEX*16 ZERO, HALF, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ HALF = ( 0.5D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
$ IORDER
LOGICAL FATAL, REWI, TRACE
CHARACTER*12 SNAME
* .. Array Arguments ..
COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ),
$ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
COMPLEX*16 TRANSL
DOUBLE PRECISION ERR, ERRMAX
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 LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL ZMAKE, ZMVCH, CZTBMV, CZTBSV, CZTPMV,
$ CZTPSV, CZTRMV, CZTRSV
* .. 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 = RZERO
* Set up zero vector for ZMVCH.
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 ZMAKE( 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 ZMAKE( '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 CZTRMV( 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 CZTBMV( 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 CZTPMV( 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 CZTRSV( 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 CZTBSV( 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 CZTPSV( 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 ) = LZE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
IF( NULL )THEN
ISAME( 7 ) = LZE( XS, XX, LX )
ELSE
ISAME( 7 ) = LZERES( '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 ) = LZE( AS, AA, LAA )
ISAME( 7 ) = LDAS.EQ.LDA
IF( NULL )THEN
ISAME( 8 ) = LZE( XS, XX, LX )
ELSE
ISAME( 8 ) = LZERES( 'ge', ' ', 1, N, XS,
$ XX, ABS( INCX ) )
END IF
ISAME( 9 ) = INCXS.EQ.INCX
ELSE IF( PACKED )THEN
ISAME( 5 ) = LZE( AS, AA, LAA )
IF( NULL )THEN
ISAME( 6 ) = LZE( XS, XX, LX )
ELSE
ISAME( 6 ) = LZERES( '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 ZMVCH( 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 ZMVCH( 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
WRITE( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT, FMT = 9997 )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
*
9999 FORMAT(' ',A12, ' PASSED THE 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 ZCHK3.
*
END
SUBROUTINE ZCHK4( 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 ZGERC and ZGERU.
*
* 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 ..
COMPLEX*16 ZERO, HALF, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ HALF = ( 0.5D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
$ IORDER
LOGICAL FATAL, REWI, TRACE
CHARACTER*12 SNAME
* .. Array Arguments ..
COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
COMPLEX*16 ALPHA, ALS, TRANSL
DOUBLE PRECISION ERR, ERRMAX
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 CONJ, NULL, RESET, SAME
* .. Local Arrays ..
COMPLEX*16 W( 1 )
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL CZGERC, CZGERU, ZMAKE, ZMVCH
* .. Intrinsic Functions ..
INTRINSIC ABS, DCONJG, MAX, MIN
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK
* .. Executable Statements ..
CONJ = SNAME( 11: 11 ).EQ.'c'
* Define the number of arguments.
NARGS = 9
*
NC = 0
RESET = .TRUE.
ERRMAX = RZERO
*
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 ZMAKE( '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 ZMAKE( '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 ZMAKE(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( CONJ )THEN
IF( REWI )
$ REWIND NTRA
CALL CZGERC( IORDER, M, N, ALPHA, XX, INCX,
$ YY, INCY, AA, LDA )
ELSE
IF( REWI )
$ REWIND NTRA
CALL CZGERU( IORDER, M, N, ALPHA, XX, INCX,
$ YY, INCY, AA, LDA )
END IF
*
* 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 ) = LZE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
ISAME( 6 ) = LZE( YS, YY, LY )
ISAME( 7 ) = INCYS.EQ.INCY
IF( NULL )THEN
ISAME( 8 ) = LZE( AS, AA, LAA )
ELSE
ISAME( 8 ) = LZERES( '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
IF( CONJ )
$ W( 1 ) = DCONJG( W( 1 ) )
CALL ZMVCH( '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
WRITE( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT, FMT = 9997 )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
*
9999 FORMAT(' ',A12, ' PASSED THE 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, ',', F4.1,
$ '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of ZCHK4.
*
END
SUBROUTINE ZCHK5( 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 ZHER and ZHPR.
*
* 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 ..
COMPLEX*16 ZERO, HALF, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ HALF = ( 0.5D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
$ IORDER
LOGICAL FATAL, REWI, TRACE
CHARACTER*12 SNAME
* .. Array Arguments ..
COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
COMPLEX*16 ALPHA, TRANSL
DOUBLE PRECISION ERR, ERRMAX, RALPHA, RALS
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 ..
COMPLEX*16 W( 1 )
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL CZHER, CZHPR, ZMAKE, ZMVCH
* .. Intrinsic Functions ..
INTRINSIC ABS, DCMPLX, DCONJG, MAX, DBLE
* .. 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.'e'
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 = RZERO
*
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 ZMAKE( '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
RALPHA = DBLE( ALF( IA ) )
ALPHA = DCMPLX( RALPHA, RZERO )
NULL = N.LE.0.OR.RALPHA.EQ.RZERO
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL ZMAKE( 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
RALS = RALPHA
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,
$ RALPHA, INCX, LDA
IF( REWI )
$ REWIND NTRA
CALL CZHER( IORDER, UPLO, N, RALPHA, XX,
$ INCX, AA, LDA )
ELSE IF( PACKED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
$ RALPHA, INCX
IF( REWI )
$ REWIND NTRA
CALL CZHPR( IORDER, UPLO, N, RALPHA,
$ 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 ) = RALS.EQ.RALPHA
ISAME( 4 ) = LZE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
IF( NULL )THEN
ISAME( 6 ) = LZE( AS, AA, LAA )
ELSE
ISAME( 6 ) = LZERES( 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 ) = DCONJG( Z( J ) )
IF( UPPER )THEN
JJ = 1
LJ = J
ELSE
JJ = J
LJ = N - J + 1
END IF
CALL ZMVCH( '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
WRITE( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT, FMT = 9997 )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, RALPHA, INCX, LDA
ELSE IF( PACKED )THEN
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, RALPHA, INCX
END IF
*
130 CONTINUE
RETURN
*
9999 FORMAT(' ',A12, ' PASSED THE 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 CZHK5.
*
END
SUBROUTINE ZCHK6( 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 ZHER2 and ZHPR2.
*
* 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 ..
COMPLEX*16 ZERO, HALF, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ HALF = ( 0.5D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
$ IORDER
LOGICAL FATAL, REWI, TRACE
CHARACTER*12 SNAME
* .. Array Arguments ..
COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX, 2 )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
COMPLEX*16 ALPHA, ALS, TRANSL
DOUBLE PRECISION ERR, ERRMAX
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 ..
COMPLEX*16 W( 2 )
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL CZHER2, CZHPR2, ZMAKE, ZMVCH
* .. Intrinsic Functions ..
INTRINSIC ABS, DCONJG, 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.'e'
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 = RZERO
*
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 ZMAKE( '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 ZMAKE( '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 ZMAKE( 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 CZHER2( 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 CZHPR2( 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 ) = LZE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
ISAME( 6 ) = LZE( YS, YY, LY )
ISAME( 7 ) = INCYS.EQ.INCY
IF( NULL )THEN
ISAME( 8 ) = LZE( AS, AA, LAA )
ELSE
ISAME( 8 ) = LZERES( 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 ) = ALPHA*DCONJG( Z( J, 2 ) )
W( 2 ) = DCONJG( ALPHA )*DCONJG( Z( J, 1 ) )
IF( UPPER )THEN
JJ = 1
LJ = J
ELSE
JJ = J
LJ = N - J + 1
END IF
CALL ZMVCH( 'N', LJ, 2, ONE, 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
WRITE( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT, FMT = 9997 )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
*
9999 FORMAT(' ',A12, ' PASSED THE 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, ',',
$ F4.1, '), X,', I2, ', Y,', I2, ', AP) .' )
9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
$ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of ZCHK6.
*
END
SUBROUTINE ZMVCH( 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 ..
COMPLEX*16 ZERO
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO, RONE
PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 )
* .. Scalar Arguments ..
COMPLEX*16 ALPHA, BETA
DOUBLE PRECISION EPS, ERR
INTEGER INCX, INCY, M, N, NMAX, NOUT
LOGICAL FATAL, MV
CHARACTER*1 TRANS
* .. Array Arguments ..
COMPLEX*16 A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * )
DOUBLE PRECISION G( * )
* .. Local Scalars ..
COMPLEX*16 C
DOUBLE PRECISION ERRI
INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
LOGICAL CTRAN, TRAN
* .. Intrinsic Functions ..
INTRINSIC ABS, DIMAG, DCONJG, MAX, DBLE, SQRT
* .. Statement Functions ..
DOUBLE PRECISION ABS1
* .. Statement Function definitions ..
ABS1( C ) = ABS( DBLE( C ) ) + ABS( DIMAG( C ) )
* .. Executable Statements ..
TRAN = TRANS.EQ.'T'
CTRAN = TRANS.EQ.'C'
IF( TRAN.OR.CTRAN )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 40 I = 1, ML
YT( IY ) = ZERO
G( IY ) = RZERO
JX = KX
IF( TRAN )THEN
DO 10 J = 1, NL
YT( IY ) = YT( IY ) + A( J, I )*X( JX )
G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
JX = JX + INCXL
10 CONTINUE
ELSE IF( CTRAN )THEN
DO 20 J = 1, NL
YT( IY ) = YT( IY ) + DCONJG( A( J, I ) )*X( JX )
G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
JX = JX + INCXL
20 CONTINUE
ELSE
DO 30 J = 1, NL
YT( IY ) = YT( IY ) + A( I, J )*X( JX )
G( IY ) = G( IY ) + ABS1( A( I, J ) )*ABS1( X( JX ) )
JX = JX + INCXL
30 CONTINUE
END IF
YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( Y( IY ) )
IY = IY + INCYL
40 CONTINUE
*
* Compute the error ratio for this result.
*
ERR = ZERO
DO 50 I = 1, ML
ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
IF( G( I ).NE.RZERO )
$ ERRI = ERRI/G( I )
ERR = MAX( ERR, ERRI )
IF( ERR*SQRT( EPS ).GE.RONE )
$ GO TO 60
50 CONTINUE
* If the loop completes, all results are at least half accurate.
GO TO 80
*
* Report fatal error.
*
60 FATAL = .TRUE.
WRITE( NOUT, FMT = 9999 )
DO 70 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
70 CONTINUE
*
80 CONTINUE
RETURN
*
9999 FORMAT(' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
$ 'F ACCURATE *******', /' EXPECTED RE',
$ 'SULT COMPUTED RESULT' )
9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) )
*
* End of ZMVCH.
*
END
LOGICAL FUNCTION LZE( 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 ..
COMPLEX*16 RI( * ), RJ( * )
* .. Local Scalars ..
INTEGER I
* .. Executable Statements ..
DO 10 I = 1, LR
IF( RI( I ).NE.RJ( I ) )
$ GO TO 20
10 CONTINUE
LZE = .TRUE.
GO TO 30
20 CONTINUE
LZE = .FALSE.
30 RETURN
*
* End of LZE.
*
END
LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA )
*
* Tests if selected elements in two arrays are equal.
*
* TYPE is 'ge', 'he' or 'hp'.
*
* 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 ..
COMPLEX*16 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.'he' )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
LZERES = .TRUE.
GO TO 80
70 CONTINUE
LZERES = .FALSE.
80 RETURN
*
* End of LZERES.
*
END
COMPLEX*16 FUNCTION ZBEG( RESET )
*
* Generates complex numbers as pairs of 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, J, MI, MJ
* .. Save statement ..
SAVE I, IC, J, MI, MJ
* .. Intrinsic Functions ..
INTRINSIC DCMPLX
* .. Executable Statements ..
IF( RESET )THEN
* Initialize local variables.
MI = 891
MJ = 457
I = 7
J = 7
IC = 0
RESET = .FALSE.
END IF
*
* The sequence of values of I or J is bounded between 1 and 999.
* If initial I or J = 1,2,3,6,7 or 9, the period will be 50.
* If initial I or J = 4 or 8, the period will be 25.
* If initial I or J = 5, the period will be 10.
* IC is used to break up the period by skipping 1 value of I or J
* in 6.
*
IC = IC + 1
10 I = I*MI
J = J*MJ
I = I - 1000*( I/1000 )
J = J - 1000*( J/1000 )
IF( IC.GE.5 )THEN
IC = 0
GO TO 10
END IF
ZBEG = DCMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 )
RETURN
*
* End of ZBEG.
*
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
SUBROUTINE ZMAKE( 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', 'he', 'hb', 'hp', '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 ..
COMPLEX*16 ZERO, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
COMPLEX*16 ROGUE
PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
DOUBLE PRECISION RROGUE
PARAMETER ( RROGUE = -1.0D10 )
* .. Scalar Arguments ..
COMPLEX*16 TRANSL
INTEGER KL, KU, LDA, M, N, NMAX
LOGICAL RESET
CHARACTER*1 DIAG, UPLO
CHARACTER*2 TYPE
* .. Array Arguments ..
COMPLEX*16 A( NMAX, * ), AA( * )
* .. Local Scalars ..
INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, JJ, KK
LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
* .. External Functions ..
COMPLEX*16 ZBEG
EXTERNAL ZBEG
* .. Intrinsic Functions ..
INTRINSIC DCMPLX, DCONJG, MAX, MIN, DBLE
* .. Executable Statements ..
GEN = TYPE( 1: 1 ).EQ.'g'
SYM = TYPE( 1: 1 ).EQ.'h'
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 ) = ZBEG( RESET ) + TRANSL
ELSE
A( I, J ) = ZERO
END IF
IF( I.NE.J )THEN
IF( SYM )THEN
A( J, I ) = DCONJG( A( I, J ) )
ELSE IF( TRI )THEN
A( J, I ) = ZERO
END IF
END IF
END IF
10 CONTINUE
IF( SYM )
$ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO )
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.'he'.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
IF( SYM )THEN
JJ = J + ( J - 1 )*LDA
AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
END IF
130 CONTINUE
ELSE IF( TYPE.EQ.'hb'.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
IF( SYM )THEN
JJ = KK + ( J - 1 )*LDA
AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
END IF
170 CONTINUE
ELSE IF( TYPE.EQ.'hp'.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
IF( SYM )
$ AA( IOFF ) = DCMPLX( DBLE( AA( IOFF ) ), RROGUE )
END IF
180 CONTINUE
190 CONTINUE
END IF
RETURN
*
* End of ZMAKE.
*
END
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