*> \brief \b DBLAT2
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* PROGRAM DBLAT2
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> Test program for the DOUBLEPRECISION Level 2 Blas.
*>
*> The program must be driven by a short datafile. The first 18 records
*> of the file are read using list-directed input, the last 16 records
*> are read using the format ( A6, L2 ). An annotated example of a data
*> file can be obtained by deleting the first 3 characters from the
*> following 34 lines:
*> 'dblat2.out'NAME OF SUMMARY OUTPUT FILE
*> 6UNITNUMBER OF SUMMARY FILE
*> 'DBLAT2.SNAP'NAME OF SNAPSHOT OUTPUT FILE
*> -1UNITNUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0)
*> F LOGICAL FLAG, T TOREWIND SNAPSHOT FILE AFTER EACH RECORD.
*> F LOGICAL FLAG, T TOSTOP ON FAILURES.
*> T LOGICAL FLAG, T TO TEST ERROR EXITS.
*> 16.0 THRESHOLD VALUE OF TEST RATIO
*> 6NUMBER OF VALUES OF N
*> 012359 VALUES OF N
*> 4NUMBER OF VALUES OF K
*> 0124 VALUES OF K
*> 4NUMBER OF VALUES OF INCX AND INCY
*> 12 -1 -2 VALUES OF INCX AND INCY
*> 3NUMBER OF VALUES OF ALPHA
*> 0.01.00.7 VALUES OF ALPHA
*> 3NUMBER OF VALUES OF BETA
*> 0.01.00.9 VALUES OF BETAC
*> DGEMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DGBMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DSYMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DSBMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DSPMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTRMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTBMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTPMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTRSV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTBSV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTPSV T PUT F FOR NO TEST. SAME COLUMNS.
*> DGER T PUT F FOR NO TEST. SAME COLUMNS.
*> DSYR T PUT F FOR NO TEST. SAME COLUMNS.
*> DSPR T PUT F FOR NO TEST. SAME COLUMNS.
*> DSYR2 T PUT F FOR NO TEST. SAME COLUMNS.
*> DSPR2 T PUT F FOR NO TEST. SAME COLUMNS.
*>
*> Further Details
*> ===============
*>
*> 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., 110131st
*> 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.
*>
*> 10-9-00: Change STATUS='NEW'to'UNKNOWN' so that the testers
*> can be run multiple times without deleting generated
*> output files (susan)
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date April 2012
*
*> \ingroup double_blas_testing
*
* ===================================================================== PROGRAM DBLAT2
*
* -- Reference BLAS test routine (version 3.4.1) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* April 2012
*
* =====================================================================
*
* .. Parameters .. INTEGER NIN PARAMETER ( NIN = 5 ) INTEGER NSUBS PARAMETER ( NSUBS = 16 ) DOUBLEPRECISION ZERO, ONE PARAMETER ( ZERO = 0.0D0, 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 .. DOUBLEPRECISION EPS, ERR, THRESH INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
$ NOUT, NTRA LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
$ TSTERR CHARACTER*1 TRANS CHARACTER*6 SNAMET CHARACTER*32 SNAPS, SUMMRY
* .. Local Arrays .. DOUBLEPRECISION 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*6 SNAMES( NSUBS )
* .. External Functions .. DOUBLEPRECISION DDIFF LOGICAL LDE EXTERNAL DDIFF, LDE
* .. External Subroutines .. EXTERNAL DCHK1, DCHK2, DCHK3, DCHK4, DCHK5, DCHK6,
$ DCHKE, DMVCH
* .. Intrinsic Functions .. INTRINSIC ABS, MAX, MIN
* .. Scalars inCommon .. INTEGER INFOT, NOUTC LOGICAL LERR, OK CHARACTER*6 SRNAMT
* .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR COMMON /SRNAMC/SRNAMT
* .. Data statements .. DATA SNAMES/'DGEMV ', 'DGBMV ', 'DSYMV ', 'DSBMV ',
$ 'DSPMV ', 'DTRMV ', 'DTBMV ', 'DTPMV ',
$ 'DTRSV ', 'DTBSV ', 'DTPSV ', 'DGER ',
$ 'DSYR ', 'DSPR ', 'DSYR2 ', 'DSPR2 '/
* .. Executable Statements ..
*
* Readname and unitnumber for summary output file and openfile.
* READ( NIN, FMT = * )SUMMRY READ( NIN, FMT = * )NOUT OPEN( NOUT, FILE = SUMMRY, STATUS = 'UNKNOWN' )
NOUTC = NOUT
*
* Readname and unitnumber for snapshot output file and openfile.
* READ( NIN, FMT = * )SNAPS READ( NIN, FMT = * )NTRA
TRACE = NTRA.GE.0 IF( TRACE )THEN OPEN( NTRA, FILE = SNAPS, STATUS = 'UNKNOWN' ) ENDIF
* 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 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 GOTO230 ENDIF READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) DO10 I = 1, NIDIM IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN WRITE( NOUT, FMT = 9996 )NMAX GOTO230 ENDIF 10CONTINUE
* Values of K READ( NIN, FMT = * )NKB IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN WRITE( NOUT, FMT = 9997 )'K', NKBMAX GOTO230 ENDIF READ( NIN, FMT = * )( KB( I ), I = 1, NKB ) DO20 I = 1, NKB IF( KB( I ).LT.0 )THEN WRITE( NOUT, FMT = 9995 ) GOTO230 ENDIF 20CONTINUE
* 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 GOTO230 ENDIF READ( NIN, FMT = * )( INC( I ), I = 1, NINC ) DO30 I = 1, NINC IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN WRITE( NOUT, FMT = 9994 )INCMAX GOTO230 ENDIF 30CONTINUE
* Values of ALPHA READ( NIN, FMT = * )NALF IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX GOTO230 ENDIF 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 GOTO230 ENDIF 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 ) ENDIF WRITE( NOUT, FMT = * ) WRITE( NOUT, FMT = 9999 )THRESH WRITE( NOUT, FMT = * )
*
* Read names of subroutines and flags which indicate
* whether they are to be tested.
* DO40 I = 1, NSUBS
LTEST( I ) = .FALSE. 40CONTINUE 50READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT DO60 I = 1, NSUBS IF( SNAMET.EQ.SNAMES( I ) )
$ GOTO70 60CONTINUE WRITE( NOUT, FMT = 9986 )SNAMET STOP 70 LTEST( I ) = LTESTT GOTO50
* 80CONTINUE CLOSE ( NIN )
*
* Compute EPS (the machine precision).
*
EPS = EPSILON(ZERO) WRITE( NOUT, FMT = 9998 )EPS
*
* Check the reliability of DMVCH using exact data.
*
N = MIN( 32, NMAX ) DO120 J = 1, N DO110 I = 1, N
A( I, J ) = MAX( I - J + 1, 0 ) 110CONTINUE
X( J ) = J
Y( J ) = ZERO 120CONTINUE DO130 J = 1, N
YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 130CONTINUE
* 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 ENDIF
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 ENDIF
*
* Test each subroutinein turn.
* DO210 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 DCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) WRITE( NOUT, FMT = * ) ENDIF
* Test computations.
INFOT = 0
OK = .TRUE.
FATAL = .FALSE. GOTO ( 140, 140, 150, 150, 150, 160, 160,
$ 160, 160, 160, 160, 170, 180, 180,
$ 190, 190 )ISNUM
* Test DGEMV, 01, and DGBMV, 02. 140CALL 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 ) GOTO200
* Test DSYMV, 03, DSBMV, 04, and DSPMV, 05. 150CALL 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 ) GOTO200
* Test DTRMV, 06, DTBMV, 07, DTPMV, 08,
* DTRSV, 09, DTBSV, 10, and DTPSV, 11. 160CALL 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 ) GOTO200
* Test DGER, 12. 170CALL 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 ) GOTO200
* Test DSYR, 13, and DSPR, 14. 180CALL 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 ) GOTO200
* Test DSYR2, 15, and DSPR2, 16. 190CALL 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 )
* 200IF( FATAL.AND.SFATAL )
$ GOTO220 ENDIF 210CONTINUE WRITE( NOUT, FMT = 9982 ) GOTO240
* 220CONTINUE WRITE( NOUT, FMT = 9981 ) GOTO240
* 230CONTINUE WRITE( NOUT, FMT = 9987 )
* 240CONTINUE IF( TRACE )
$ CLOSE ( NTRA ) CLOSE ( NOUT ) STOP
* 9999FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
$ 'S THAN', F8.2 ) 9998FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, D9.1 ) 9997FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
$ 'THAN ', I2 ) 9996FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) 9995FORMAT( ' VALUE OF K IS LESS THAN 0' ) 9994FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
$ I2 ) 9993FORMAT( ' TESTS OF THE DOUBLE PRECISION LEVEL 2 BLAS', //' THE F',
$ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) 9992FORMAT( ' FOR N ', 9I6 ) 9991FORMAT( ' FOR K ', 7I6 ) 9990FORMAT( ' FOR INCX AND INCY ', 7I6 ) 9989FORMAT( ' FOR ALPHA ', 7F6.1 ) 9988FORMAT( ' FOR BETA ', 7F6.1 ) 9987FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
$ /' ******* TESTS ABANDONED *******' ) 9986FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T',
$ 'ESTS ABANDONED *******' ) 9985FORMAT( ' 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 *******' ) 9984FORMAT( A6, L2 ) 9983FORMAT( 1X, A6, ' WAS NOT TESTED' ) 9982FORMAT( /' END OF TESTS' ) 9981FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) 9980FORMAT( ' 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 )
*
* 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 .. DOUBLEPRECISION ZERO, HALF PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0 )
* .. Scalar Arguments .. DOUBLEPRECISION EPS, THRESH INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
$ NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME
* .. Array Arguments .. DOUBLEPRECISION 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 .. DOUBLEPRECISION 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*3 ICH
* .. Local Arrays .. LOGICAL ISAME( 13 )
* .. External Functions .. LOGICAL LDE, LDERES EXTERNAL LDE, LDERES
* .. External Subroutines .. EXTERNAL DGBMV, DGEMV, DMAKE, DMVCH
* .. Intrinsic Functions .. INTRINSIC ABS, MAX, MIN
* .. Scalars inCommon .. INTEGER INFOT, NOUTC LOGICAL LERR, OK
* .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements .. DATA ICH/'NTC'/
* .. Executable Statements ..
FULL = SNAME( 3: 3 ).EQ.'E'
BANDED = SNAME( 3: 3 ).EQ.'B'
* Define the number of arguments. IF( FULL )THEN
NARGS = 11 ELSEIF( BANDED )THEN
NARGS = 13 ENDIF
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
* DO120IN = 1, NIDIM
N = IDIM( IN )
ND = N/2 + 1
* DO110 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 ENDIF DO100 IKU = 1, NK IF( BANDED )THEN
KU = KB( IKU )
KL = MAX( KU - 1, 0 ) ELSE
KU = N - 1
KL = M - 1 ENDIF
* Set LDA to1 more than minimum value if room. IF( BANDED )THEN
LDA = KL + KU + 1 ELSE
LDA = M ENDIF IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room. IF( LDA.GT.NMAX )
$ GOTO100
LAA = LDA*N NULL = N.LE.0.OR.M.LE.0
*
* Generate the matrix A.
*
TRANSL = ZERO CALL DMAKE( SNAME( 2: 3 ), ' ', ' ', M, N, A, NMAX, AA,
$ LDA, KL, KU, RESET, TRANSL )
* DO90 IC = 1, 3
TRANS = ICH( IC: IC )
TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
* IF( TRAN )THEN
ML = N
NL = M ELSE
ML = M
NL = N ENDIF
* DO80 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 ENDIF
* DO70 IY = 1, NINC
INCY = INC( IY )
LY = ABS( INCY )*ML
* DO60 IA = 1, NALF
ALPHA = ALF( IA )
* DO50 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 DO10 I = 1, LAA
AS( I ) = AA( I ) 10CONTINUE
LDAS = LDA DO20 I = 1, LX
XS( I ) = XX( I ) 20CONTINUE
INCXS = INCX
BLS = BETA DO30 I = 1, LY
YS( I ) = YY( I ) 30CONTINUE
INCYS = INCY
*
* Call the subroutine.
* IF( FULL )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
$ TRANS, M, N, ALPHA, LDA, INCX, BETA,
$ INCY IF( REWI )
$ REWIND NTRA CALL DGEMV( TRANS, M, N, ALPHA, AA,
$ LDA, XX, INCX, BETA, YY,
$ INCY ) ELSEIF( BANDED )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
$ TRANS, M, N, KL, KU, ALPHA, LDA,
$ INCX, BETA, INCY IF( REWI )
$ REWIND NTRA CALL DGBMV( TRANS, M, N, KL, KU, ALPHA,
$ AA, LDA, XX, INCX, BETA,
$ YY, INCY ) ENDIF
*
* Check if error-exit was taken incorrectly.
* IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9993 )
FATAL = .TRUE. GOTO130 ENDIF
*
* 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 ) ) ENDIF
ISAME( 11 ) = INCYS.EQ.INCY ELSEIF( 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 ) ) ENDIF
ISAME( 13 ) = INCYS.EQ.INCY ENDIF
*
* Ifdata was incorrectly changed, report
* and return.
*
SAME = .TRUE. DO40 I = 1, NARGS
SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) )
$ WRITE( NOUT, FMT = 9998 )I 40CONTINUE IF( .NOT.SAME )THEN
FATAL = .TRUE. GOTO130 ENDIF
* 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 )
$ GOTO130 ELSE
* Avoid repeating tests with M.le.0 or
* N.le.0. GOTO110 ENDIF
* 50CONTINUE
* 60CONTINUE
* 70CONTINUE
* 80CONTINUE
* 90CONTINUE
* 100CONTINUE
* 110CONTINUE
* 120CONTINUE
*
* Report result.
* IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX ENDIF GOTO140
* 130CONTINUE WRITE( NOUT, FMT = 9996 )SNAME IF( FULL )THEN WRITE( NOUT, FMT = 9994 )NC, SNAME, TRANS, M, N, ALPHA, LDA,
$ INCX, BETA, INCY ELSEIF( BANDED )THEN WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANS, M, N, KL, KU,
$ ALPHA, LDA, INCX, BETA, INCY ENDIF
* 140CONTINUE RETURN
* 9999FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
$ 'S)' ) 9998FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
$ 'ANGED INCORRECTLY *******' ) 9997FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' ) 9996FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 4( I3, ',' ), F4.1,
$ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) 9994FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), F4.1,
$ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2,
$ ') .' ) 9993FORMAT( ' ******* 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 )
*
* 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 .. DOUBLEPRECISION ZERO, HALF PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0 )
* .. Scalar Arguments .. DOUBLEPRECISION EPS, THRESH INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
$ NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME
* .. Array Arguments .. DOUBLEPRECISION 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 .. DOUBLEPRECISION 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*2 ICH
* .. Local Arrays .. LOGICAL ISAME( 13 )
* .. External Functions .. LOGICAL LDE, LDERES EXTERNAL LDE, LDERES
* .. External Subroutines .. EXTERNAL DMAKE, DMVCH, DSBMV, DSPMV, DSYMV
* .. Intrinsic Functions .. INTRINSIC ABS, MAX
* .. Scalars inCommon .. INTEGER INFOT, NOUTC LOGICAL LERR, OK
* .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements .. DATA ICH/'UL'/
* .. Executable Statements ..
FULL = SNAME( 3: 3 ).EQ.'Y'
BANDED = SNAME( 3: 3 ).EQ.'B'
PACKED = SNAME( 3: 3 ).EQ.'P'
* Define the number of arguments. IF( FULL )THEN
NARGS = 10 ELSEIF( BANDED )THEN
NARGS = 11 ELSEIF( PACKED )THEN
NARGS = 9 ENDIF
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
* DO110IN = 1, NIDIM
N = IDIM( IN )
* IF( BANDED )THEN
NK = NKB ELSE
NK = 1 ENDIF DO100 IK = 1, NK IF( BANDED )THEN
K = KB( IK ) ELSE
K = N - 1 ENDIF
* Set LDA to1 more than minimum value if room. IF( BANDED )THEN
LDA = K + 1 ELSE
LDA = N ENDIF IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room. IF( LDA.GT.NMAX )
$ GOTO100 IF( PACKED )THEN
LAA = ( N*( N + 1 ) )/2 ELSE
LAA = LDA*N ENDIF NULL = N.LE.0
* DO90 IC = 1, 2
UPLO = ICH( IC: IC )
*
* Generate the matrix A.
*
TRANSL = ZERO CALL DMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, NMAX, AA,
$ LDA, K, K, RESET, TRANSL )
* DO80 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 ENDIF
* DO70 IY = 1, NINC
INCY = INC( IY )
LY = ABS( INCY )*N
* DO60 IA = 1, NALF
ALPHA = ALF( IA )
* DO50 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 DO10 I = 1, LAA
AS( I ) = AA( I ) 10CONTINUE
LDAS = LDA DO20 I = 1, LX
XS( I ) = XX( I ) 20CONTINUE
INCXS = INCX
BLS = BETA DO30 I = 1, LY
YS( I ) = YY( I ) 30CONTINUE
INCYS = INCY
*
* Call the subroutine.
* IF( FULL )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
$ UPLO, N, ALPHA, LDA, INCX, BETA, INCY IF( REWI )
$ REWIND NTRA CALL DSYMV( UPLO, N, ALPHA, AA, LDA, XX,
$ INCX, BETA, YY, INCY ) ELSEIF( BANDED )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
$ UPLO, N, K, ALPHA, LDA, INCX, BETA,
$ INCY IF( REWI )
$ REWIND NTRA CALL DSBMV( UPLO, N, K, ALPHA, AA, LDA,
$ XX, INCX, BETA, YY, INCY ) ELSEIF( PACKED )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
$ UPLO, N, ALPHA, INCX, BETA, INCY IF( REWI )
$ REWIND NTRA CALL DSPMV( UPLO, N, ALPHA, AA, XX, INCX,
$ BETA, YY, INCY ) ENDIF
*
* Check if error-exit was taken incorrectly.
* IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9992 )
FATAL = .TRUE. GOTO120 ENDIF
*
* 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 ) ) ENDIF
ISAME( 10 ) = INCYS.EQ.INCY ELSEIF( 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 ) ) ENDIF
ISAME( 11 ) = INCYS.EQ.INCY ELSEIF( 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 ) ) ENDIF
ISAME( 9 ) = INCYS.EQ.INCY ENDIF
*
* Ifdata was incorrectly changed, report and
* return.
*
SAME = .TRUE. DO40 I = 1, NARGS
SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) )
$ WRITE( NOUT, FMT = 9998 )I 40CONTINUE IF( .NOT.SAME )THEN
FATAL = .TRUE. GOTO120 ENDIF
* 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 )
$ GOTO120 ELSE
* Avoid repeating tests with N.le.0 GOTO110 ENDIF
* 50CONTINUE
* 60CONTINUE
* 70CONTINUE
* 80CONTINUE
* 90CONTINUE
* 100CONTINUE
* 110CONTINUE
*
* Report result.
* IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX ENDIF GOTO130
* 120CONTINUE WRITE( NOUT, FMT = 9996 )SNAME IF( FULL )THEN WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, LDA, INCX,
$ BETA, INCY ELSEIF( BANDED )THEN WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, K, ALPHA, LDA,
$ INCX, BETA, INCY ELSEIF( PACKED )THEN WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, N, ALPHA, INCX,
$ BETA, INCY ENDIF
* 130CONTINUE RETURN
* 9999FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
$ 'S)' ) 9998FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
$ 'ANGED INCORRECTLY *******' ) 9997FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' ) 9996FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', AP',
$ ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) 9994FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), F4.1,
$ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2,
$ ') .' ) 9993FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', A,',
$ I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) 9992FORMAT( ' ******* 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 )
*
* 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 .. DOUBLEPRECISION ZERO, HALF, ONE PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments .. DOUBLEPRECISION EPS, THRESH INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME
* .. Array Arguments .. DOUBLEPRECISION 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 .. DOUBLEPRECISIONERR, 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*2 ICHD, ICHU CHARACTER*3 ICHT
* .. Local Arrays .. LOGICAL ISAME( 13 )
* .. External Functions .. LOGICAL LDE, LDERES EXTERNAL LDE, LDERES
* .. External Subroutines .. EXTERNAL DMAKE, DMVCH, DTBMV, DTBSV, DTPMV, DTPSV,
$ DTRMV, DTRSV
* .. Intrinsic Functions .. INTRINSIC ABS, MAX
* .. Scalars inCommon .. INTEGER INFOT, NOUTC LOGICAL LERR, OK
* .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements .. DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/
* .. Executable Statements ..
FULL = SNAME( 3: 3 ).EQ.'R'
BANDED = SNAME( 3: 3 ).EQ.'B'
PACKED = SNAME( 3: 3 ).EQ.'P'
* Define the number of arguments. IF( FULL )THEN
NARGS = 8 ELSEIF( BANDED )THEN
NARGS = 9 ELSEIF( PACKED )THEN
NARGS = 7 ENDIF
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
* Set up zero vector for DMVCH. DO10 I = 1, NMAX
Z( I ) = ZERO 10CONTINUE
* DO110IN = 1, NIDIM
N = IDIM( IN )
* IF( BANDED )THEN
NK = NKB ELSE
NK = 1 ENDIF DO100 IK = 1, NK IF( BANDED )THEN
K = KB( IK ) ELSE
K = N - 1 ENDIF
* Set LDA to1 more than minimum value if room. IF( BANDED )THEN
LDA = K + 1 ELSE
LDA = N ENDIF IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room. IF( LDA.GT.NMAX )
$ GOTO100 IF( PACKED )THEN
LAA = ( N*( N + 1 ) )/2 ELSE
LAA = LDA*N ENDIF NULL = N.LE.0
* DO90 ICU = 1, 2
UPLO = ICHU( ICU: ICU )
* DO80 ICT = 1, 3
TRANS = ICHT( ICT: ICT )
* DO70 ICD = 1, 2
DIAG = ICHD( ICD: ICD )
*
* Generate the matrix A.
*
TRANSL = ZERO CALL DMAKE( SNAME( 2: 3 ), UPLO, DIAG, N, N, A,
$ NMAX, AA, LDA, K, K, RESET, TRANSL )
* DO60 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 ENDIF
*
NC = NC + 1
*
* Save every datum before calling the subroutine.
*
UPLOS = UPLO
TRANSS = TRANS
DIAGS = DIAG
NS = N
KS = K DO20 I = 1, LAA
AS( I ) = AA( I ) 20CONTINUE
LDAS = LDA DO30 I = 1, LX
XS( I ) = XX( I ) 30CONTINUE
INCXS = INCX
*
* Call the subroutine.
* IF( SNAME( 4: 5 ).EQ.'MV' )THEN IF( FULL )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, LDA, INCX IF( REWI )
$ REWIND NTRA CALL DTRMV( UPLO, TRANS, DIAG, N, AA, LDA,
$ XX, INCX ) ELSEIF( BANDED )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, K, LDA, INCX IF( REWI )
$ REWIND NTRA CALL DTBMV( UPLO, TRANS, DIAG, N, K, AA,
$ LDA, XX, INCX ) ELSEIF( PACKED )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, INCX IF( REWI )
$ REWIND NTRA CALL DTPMV( UPLO, TRANS, DIAG, N, AA, XX,
$ INCX ) ENDIF ELSEIF( SNAME( 4: 5 ).EQ.'SV' )THEN IF( FULL )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, LDA, INCX IF( REWI )
$ REWIND NTRA CALL DTRSV( UPLO, TRANS, DIAG, N, AA, LDA,
$ XX, INCX ) ELSEIF( BANDED )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, K, LDA, INCX IF( REWI )
$ REWIND NTRA CALL DTBSV( UPLO, TRANS, DIAG, N, K, AA,
$ LDA, XX, INCX ) ELSEIF( PACKED )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, INCX IF( REWI )
$ REWIND NTRA CALL DTPSV( UPLO, TRANS, DIAG, N, AA, XX,
$ INCX ) ENDIF ENDIF
*
* Check if error-exit was taken incorrectly.
* IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9992 )
FATAL = .TRUE. GOTO120 ENDIF
*
* 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 ) ) ENDIF
ISAME( 8 ) = INCXS.EQ.INCX ELSEIF( 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 ) ) ENDIF
ISAME( 9 ) = INCXS.EQ.INCX ELSEIF( 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 ) ) ENDIF
ISAME( 7 ) = INCXS.EQ.INCX ENDIF
*
* Ifdata was incorrectly changed, report and
* return.
*
SAME = .TRUE. DO40 I = 1, NARGS
SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) )
$ WRITE( NOUT, FMT = 9998 )I 40CONTINUE IF( .NOT.SAME )THEN
FATAL = .TRUE. GOTO120 ENDIF
* IF( .NOT.NULL )THEN IF( SNAME( 4: 5 ).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. ) ELSEIF( SNAME( 4: 5 ).EQ.'SV' )THEN
*
* Compute approximation to original vector.
* DO50 I = 1, N
Z( I ) = XX( 1 + ( I - 1 )*
$ ABS( INCX ) )
XX( 1 + ( I - 1 )*ABS( INCX ) )
$ = X( I ) 50CONTINUE CALL DMVCH( TRANS, N, N, ONE, A, NMAX, Z,
$ INCX, ZERO, X, INCX, XT, G,
$ XX, EPS, ERR, FATAL, NOUT,
$ .FALSE. ) ENDIF
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and return. IF( FATAL )
$ GOTO120 ELSE
* Avoid repeating tests with N.le.0. GOTO110 ENDIF
* 60CONTINUE
* 70CONTINUE
* 80CONTINUE
* 90CONTINUE
* 100CONTINUE
* 110CONTINUE
*
* Report result.
* IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX ENDIF GOTO130
* 120CONTINUE WRITE( NOUT, FMT = 9996 )SNAME IF( FULL )THEN WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, TRANS, DIAG, N, LDA,
$ INCX ELSEIF( BANDED )THEN WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, DIAG, N, K,
$ LDA, INCX ELSEIF( PACKED )THEN WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, TRANS, DIAG, N, INCX ENDIF
* 130CONTINUE RETURN
* 9999FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
$ 'S)' ) 9998FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
$ 'ANGED INCORRECTLY *******' ) 9997FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' ) 9996FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', AP, ',
$ 'X,', I2, ') .' ) 9994FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), 2( I3, ',' ),
$ ' A,', I3, ', X,', I2, ') .' ) 9993FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', A,',
$ I3, ', X,', I2, ') .' ) 9992FORMAT( ' ******* 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 )
*
* 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 .. DOUBLEPRECISION ZERO, HALF, ONE PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments .. DOUBLEPRECISION EPS, THRESH INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME
* .. Array Arguments .. DOUBLEPRECISION 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 .. DOUBLEPRECISION 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 LOGICALNULL, RESET, SAME
* .. Local Arrays .. DOUBLEPRECISION 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 inCommon .. INTEGER INFOT, NOUTC LOGICAL LERR, OK
* .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Executable Statements ..
* Define the number of arguments.
NARGS = 9
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
* DO120IN = 1, NIDIM
N = IDIM( IN )
ND = N/2 + 1
* DO110 IM = 1, 2 IF( IM.EQ.1 )
$ M = MAX( N - ND, 0 ) IF( IM.EQ.2 )
$ M = MIN( N + ND, NMAX )
*
* Set LDA to1 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 )
$ GOTO110
LAA = LDA*N NULL = N.LE.0.OR.M.LE.0
* DO100 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 ENDIF
* DO90 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 ENDIF
* DO80 IA = 1, NALF
ALPHA = ALF( IA )
*
* Generate the matrix A.
*
TRANSL = ZERO CALL DMAKE( SNAME( 2: 3 ), ' ', ' ', 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 DO10 I = 1, LAA
AS( I ) = AA( I ) 10CONTINUE
LDAS = LDA DO20 I = 1, LX
XS( I ) = XX( I ) 20CONTINUE
INCXS = INCX DO30 I = 1, LY
YS( I ) = YY( I ) 30CONTINUE
INCYS = INCY
*
* Call the subroutine.
* IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
$ ALPHA, INCX, INCY, LDA IF( REWI )
$ REWIND NTRA CALL DGER( 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. GOTO140 ENDIF
*
* 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 ) ENDIF
ISAME( 9 ) = LDAS.EQ.LDA
*
* Ifdata was incorrectly changed, report and return.
*
SAME = .TRUE. DO40 I = 1, NARGS
SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) )
$ WRITE( NOUT, FMT = 9998 )I 40CONTINUE IF( .NOT.SAME )THEN
FATAL = .TRUE. GOTO140 ENDIF
* IF( .NOT.NULL )THEN
*
* Check the result column by column.
* IF( INCX.GT.0 )THEN DO50 I = 1, M
Z( I ) = X( I ) 50CONTINUE ELSE DO60 I = 1, M
Z( I ) = X( M - I + 1 ) 60CONTINUE ENDIF DO70 J = 1, N IF( INCY.GT.0 )THEN
W( 1 ) = Y( J ) ELSE
W( 1 ) = Y( N - J + 1 ) ENDIF 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 )
$ GOTO130 70CONTINUE ELSE
* Avoid repeating tests with M.le.0 or N.le.0. GOTO110 ENDIF
* 80CONTINUE
* 90CONTINUE
* 100CONTINUE
* 110CONTINUE
* 120CONTINUE
*
* Report result.
* IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX ENDIF GOTO150
* 130CONTINUE WRITE( NOUT, FMT = 9995 )J
* 140CONTINUE WRITE( NOUT, FMT = 9996 )SNAME WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
* 150CONTINUE RETURN
* 9999FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
$ 'S)' ) 9998FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
$ 'ANGED INCORRECTLY *******' ) 9997FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' ) 9996FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 9994FORMAT( 1X, I6, ': ', A6, '(', 2( I3, ',' ), F4.1, ', X,', I2,
$ ', Y,', I2, ', A,', I3, ') .' ) 9993FORMAT( ' ******* 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 )
*
* 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 .. DOUBLEPRECISION ZERO, HALF, ONE PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments .. DOUBLEPRECISION EPS, THRESH INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME
* .. Array Arguments .. DOUBLEPRECISION 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 .. DOUBLEPRECISION 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*2 ICH
* .. Local Arrays .. DOUBLEPRECISION W( 1 ) LOGICAL ISAME( 13 )
* .. External Functions .. LOGICAL LDE, LDERES EXTERNAL LDE, LDERES
* .. External Subroutines .. EXTERNAL DMAKE, DMVCH, DSPR, DSYR
* .. Intrinsic Functions .. INTRINSIC ABS, MAX
* .. Scalars inCommon .. INTEGER INFOT, NOUTC LOGICAL LERR, OK
* .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements .. DATA ICH/'UL'/
* .. Executable Statements ..
FULL = SNAME( 3: 3 ).EQ.'Y'
PACKED = SNAME( 3: 3 ).EQ.'P'
* Define the number of arguments. IF( FULL )THEN
NARGS = 7 ELSEIF( PACKED )THEN
NARGS = 6 ENDIF
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
* DO100IN = 1, NIDIM
N = IDIM( IN )
* Set LDA to1 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 )
$ GOTO100 IF( PACKED )THEN
LAA = ( N*( N + 1 ) )/2 ELSE
LAA = LDA*N ENDIF
* DO90 IC = 1, 2
UPLO = ICH( IC: IC )
UPPER = UPLO.EQ.'U'
* DO80 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 ENDIF
* DO70 IA = 1, NALF
ALPHA = ALF( IA ) NULL = N.LE.0.OR.ALPHA.EQ.ZERO
*
* Generate the matrix A.
*
TRANSL = ZERO CALL DMAKE( SNAME( 2: 3 ), 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 DO10 I = 1, LAA
AS( I ) = AA( I ) 10CONTINUE
LDAS = LDA DO20 I = 1, LX
XS( I ) = XX( I ) 20CONTINUE
INCXS = INCX
*
* Call the subroutine.
* IF( FULL )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, N,
$ ALPHA, INCX, LDA IF( REWI )
$ REWIND NTRA CALL DSYR( UPLO, N, ALPHA, XX, INCX, AA, LDA ) ELSEIF( PACKED )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N,
$ ALPHA, INCX IF( REWI )
$ REWIND NTRA CALL DSPR( UPLO, N, ALPHA, XX, INCX, AA ) ENDIF
*
* Check if error-exit was taken incorrectly.
* IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9992 )
FATAL = .TRUE. GOTO120 ENDIF
*
* 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( 2: 3 ), UPLO, N, N, AS,
$ AA, LDA ) ENDIF IF( .NOT.PACKED )THEN
ISAME( 7 ) = LDAS.EQ.LDA ENDIF
*
* Ifdata was incorrectly changed, report and return.
*
SAME = .TRUE. DO30 I = 1, NARGS
SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) )
$ WRITE( NOUT, FMT = 9998 )I 30CONTINUE IF( .NOT.SAME )THEN
FATAL = .TRUE. GOTO120 ENDIF
* IF( .NOT.NULL )THEN
*
* Check the result column by column.
* IF( INCX.GT.0 )THEN DO40 I = 1, N
Z( I ) = X( I ) 40CONTINUE ELSE DO50 I = 1, N
Z( I ) = X( N - I + 1 ) 50CONTINUE ENDIF
JA = 1 DO60 J = 1, N
W( 1 ) = Z( J ) IF( UPPER )THEN
JJ = 1
LJ = J ELSE
JJ = J
LJ = N - J + 1 ENDIF 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 ENDIF ELSE
JA = JA + LJ ENDIF
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and return. IF( FATAL )
$ GOTO110 60CONTINUE ELSE
* Avoid repeating tests if N.le.0. IF( N.LE.0 )
$ GOTO100 ENDIF
* 70CONTINUE
* 80CONTINUE
* 90CONTINUE
* 100CONTINUE
*
* Report result.
* IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX ENDIF GOTO130
* 110CONTINUE WRITE( NOUT, FMT = 9995 )J
* 120CONTINUE WRITE( NOUT, FMT = 9996 )SNAME IF( FULL )THEN WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, INCX, LDA ELSEIF( PACKED )THEN WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX ENDIF
* 130CONTINUE RETURN
* 9999FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
$ 'S)' ) 9998FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
$ 'ANGED INCORRECTLY *******' ) 9997FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' ) 9996FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 9994FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,',
$ I2, ', AP) .' ) 9993FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,',
$ I2, ', A,', I3, ') .' ) 9992FORMAT( ' ******* 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 )
*
* 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 .. DOUBLEPRECISION ZERO, HALF, ONE PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments .. DOUBLEPRECISION EPS, THRESH INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME
* .. Array Arguments .. DOUBLEPRECISION 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 .. DOUBLEPRECISION 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*2 ICH
* .. Local Arrays .. DOUBLEPRECISION W( 2 ) LOGICAL ISAME( 13 )
* .. External Functions .. LOGICAL LDE, LDERES EXTERNAL LDE, LDERES
* .. External Subroutines .. EXTERNAL DMAKE, DMVCH, DSPR2, DSYR2
* .. Intrinsic Functions .. INTRINSIC ABS, MAX
* .. Scalars inCommon .. INTEGER INFOT, NOUTC LOGICAL LERR, OK
* .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements .. DATA ICH/'UL'/
* .. Executable Statements ..
FULL = SNAME( 3: 3 ).EQ.'Y'
PACKED = SNAME( 3: 3 ).EQ.'P'
* Define the number of arguments. IF( FULL )THEN
NARGS = 9 ELSEIF( PACKED )THEN
NARGS = 8 ENDIF
*
NC = 0
RESET = .TRUE.
ERRMAX = ZERO
* DO140IN = 1, NIDIM
N = IDIM( IN )
* Set LDA to1 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 )
$ GOTO140 IF( PACKED )THEN
LAA = ( N*( N + 1 ) )/2 ELSE
LAA = LDA*N ENDIF
* DO130 IC = 1, 2
UPLO = ICH( IC: IC )
UPPER = UPLO.EQ.'U'
* DO120 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 ENDIF
* DO110 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 ENDIF
* DO100 IA = 1, NALF
ALPHA = ALF( IA ) NULL = N.LE.0.OR.ALPHA.EQ.ZERO
*
* Generate the matrix A.
*
TRANSL = ZERO CALL DMAKE( SNAME( 2: 3 ), 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 DO10 I = 1, LAA
AS( I ) = AA( I ) 10CONTINUE
LDAS = LDA DO20 I = 1, LX
XS( I ) = XX( I ) 20CONTINUE
INCXS = INCX DO30 I = 1, LY
YS( I ) = YY( I ) 30CONTINUE
INCYS = INCY
*
* Call the subroutine.
* IF( FULL )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9993 )NC, SNAME, UPLO, N,
$ ALPHA, INCX, INCY, LDA IF( REWI )
$ REWIND NTRA CALL DSYR2( UPLO, N, ALPHA, XX, INCX, YY, INCY,
$ AA, LDA ) ELSEIF( PACKED )THEN IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N,
$ ALPHA, INCX, INCY IF( REWI )
$ REWIND NTRA CALL DSPR2( UPLO, N, ALPHA, XX, INCX, YY, INCY,
$ AA ) ENDIF
*
* Check if error-exit was taken incorrectly.
* IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9992 )
FATAL = .TRUE. GOTO160 ENDIF
*
* 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( 2: 3 ), UPLO, N, N,
$ AS, AA, LDA ) ENDIF IF( .NOT.PACKED )THEN
ISAME( 9 ) = LDAS.EQ.LDA ENDIF
*
* Ifdata was incorrectly changed, report and return.
*
SAME = .TRUE. DO40 I = 1, NARGS
SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) )
$ WRITE( NOUT, FMT = 9998 )I 40CONTINUE IF( .NOT.SAME )THEN
FATAL = .TRUE. GOTO160 ENDIF
* IF( .NOT.NULL )THEN
*
* Check the result column by column.
* IF( INCX.GT.0 )THEN DO50 I = 1, N
Z( I, 1 ) = X( I ) 50CONTINUE ELSE DO60 I = 1, N
Z( I, 1 ) = X( N - I + 1 ) 60CONTINUE ENDIF IF( INCY.GT.0 )THEN DO70 I = 1, N
Z( I, 2 ) = Y( I ) 70CONTINUE ELSE DO80 I = 1, N
Z( I, 2 ) = Y( N - I + 1 ) 80CONTINUE ENDIF
JA = 1 DO90 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 ENDIF 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 ENDIF ELSE
JA = JA + LJ ENDIF
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and return. IF( FATAL )
$ GOTO150 90CONTINUE ELSE
* Avoid repeating tests with N.le.0. IF( N.LE.0 )
$ GOTO140 ENDIF
* 100CONTINUE
* 110CONTINUE
* 120CONTINUE
* 130CONTINUE
* 140CONTINUE
*
* Report result.
* IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX ENDIF GOTO170
* 150CONTINUE WRITE( NOUT, FMT = 9995 )J
* 160CONTINUE WRITE( NOUT, FMT = 9996 )SNAME IF( FULL )THEN WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, INCX,
$ INCY, LDA ELSEIF( PACKED )THEN WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX, INCY ENDIF
* 170CONTINUE RETURN
* 9999FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
$ 'S)' ) 9998FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
$ 'ANGED INCORRECTLY *******' ) 9997FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' ) 9996FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 9994FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,',
$ I2, ', Y,', I2, ', AP) .' ) 9993FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,',
$ I2, ', Y,', I2, ', A,', I3, ') .' ) 9992FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of DCHK6.
* END SUBROUTINE DCHKE( ISNUM, SRNAMT, NOUT )
*
* Tests the error exits from the Level 2 Blas.
* Requires a special version of the error-handling routine XERBLA.
* ALPHA, BETA, A, X and Y should not need to be defined.
*
* 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 ISNUM, NOUT CHARACTER*6 SRNAMT
* .. Scalars inCommon .. INTEGER INFOT, NOUTC LOGICAL LERR, OK
* .. Local Scalars .. DOUBLEPRECISION ALPHA, BETA
* .. Local Arrays .. DOUBLEPRECISION A( 1, 1 ), X( 1 ), Y( 1 )
* .. External Subroutines .. EXTERNAL CHKXER, DGBMV, DGEMV, DGER, DSBMV, DSPMV, DSPR,
$ DSPR2, DSYMV, DSYR, DSYR2, DTBMV, DTBSV, DTPMV,
$ DTPSV, DTRMV, DTRSV
* .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Executable Statements ..
* OK is set to .FALSE. by the special version of XERBLA or by CHKXER
* if anything is wrong.
OK = .TRUE.
* LERR is set to .TRUE. by the special version of XERBLA each time
* it is called, and is then tested and re-set by CHKXER.
LERR = .FALSE. GOTO ( 10, 20, 30, 40, 50, 60, 70, 80,
$ 90, 100, 110, 120, 130, 140, 150,
$ 160 )ISNUM 10 INFOT = 1 CALL DGEMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DGEMV( 'N', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3 CALL DGEMV( 'N', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6 CALL DGEMV( 'N', 2, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8 CALL DGEMV( 'N', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 11 CALL DGEMV( 'N', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 20 INFOT = 1 CALL DGBMV( '/', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DGBMV( 'N', -1, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3 CALL DGBMV( 'N', 0, -1, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4 CALL DGBMV( 'N', 0, 0, -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5 CALL DGBMV( 'N', 2, 0, 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8 CALL DGBMV( 'N', 0, 0, 1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 10 CALL DGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 13 CALL DGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 30 INFOT = 1 CALL DSYMV( '/', 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DSYMV( 'U', -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5 CALL DSYMV( 'U', 2, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7 CALL DSYMV( 'U', 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 10 CALL DSYMV( 'U', 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 40 INFOT = 1 CALL DSBMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DSBMV( 'U', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3 CALL DSBMV( 'U', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6 CALL DSBMV( 'U', 0, 1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8 CALL DSBMV( 'U', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 11 CALL DSBMV( 'U', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 50 INFOT = 1 CALL DSPMV( '/', 0, ALPHA, A, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DSPMV( 'U', -1, ALPHA, A, X, 1, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6 CALL DSPMV( 'U', 0, ALPHA, A, X, 0, BETA, Y, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9 CALL DSPMV( 'U', 0, ALPHA, A, X, 1, BETA, Y, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 60 INFOT = 1 CALL DTRMV( '/', 'N', 'N', 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DTRMV( 'U', '/', 'N', 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3 CALL DTRMV( 'U', 'N', '/', 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4 CALL DTRMV( 'U', 'N', 'N', -1, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6 CALL DTRMV( 'U', 'N', 'N', 2, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8 CALL DTRMV( 'U', 'N', 'N', 0, A, 1, X, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 70 INFOT = 1 CALL DTBMV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DTBMV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3 CALL DTBMV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4 CALL DTBMV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5 CALL DTBMV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7 CALL DTBMV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9 CALL DTBMV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 80 INFOT = 1 CALL DTPMV( '/', 'N', 'N', 0, A, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DTPMV( 'U', '/', 'N', 0, A, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3 CALL DTPMV( 'U', 'N', '/', 0, A, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4 CALL DTPMV( 'U', 'N', 'N', -1, A, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7 CALL DTPMV( 'U', 'N', 'N', 0, A, X, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 90 INFOT = 1 CALL DTRSV( '/', 'N', 'N', 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DTRSV( 'U', '/', 'N', 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3 CALL DTRSV( 'U', 'N', '/', 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4 CALL DTRSV( 'U', 'N', 'N', -1, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6 CALL DTRSV( 'U', 'N', 'N', 2, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8 CALL DTRSV( 'U', 'N', 'N', 0, A, 1, X, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 100 INFOT = 1 CALL DTBSV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DTBSV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3 CALL DTBSV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4 CALL DTBSV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5 CALL DTBSV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7 CALL DTBSV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9 CALL DTBSV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 110 INFOT = 1 CALL DTPSV( '/', 'N', 'N', 0, A, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DTPSV( 'U', '/', 'N', 0, A, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3 CALL DTPSV( 'U', 'N', '/', 0, A, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4 CALL DTPSV( 'U', 'N', 'N', -1, A, X, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7 CALL DTPSV( 'U', 'N', 'N', 0, A, X, 0 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 120 INFOT = 1 CALL DGER( -1, 0, ALPHA, X, 1, Y, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DGER( 0, -1, ALPHA, X, 1, Y, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5 CALL DGER( 0, 0, ALPHA, X, 0, Y, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7 CALL DGER( 0, 0, ALPHA, X, 1, Y, 0, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9 CALL DGER( 2, 0, ALPHA, X, 1, Y, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 130 INFOT = 1 CALL DSYR( '/', 0, ALPHA, X, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DSYR( 'U', -1, ALPHA, X, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5 CALL DSYR( 'U', 0, ALPHA, X, 0, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7 CALL DSYR( 'U', 2, ALPHA, X, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 140 INFOT = 1 CALL DSPR( '/', 0, ALPHA, X, 1, A ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DSPR( 'U', -1, ALPHA, X, 1, A ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5 CALL DSPR( 'U', 0, ALPHA, X, 0, A ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 150 INFOT = 1 CALL DSYR2( '/', 0, ALPHA, X, 1, Y, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DSYR2( 'U', -1, ALPHA, X, 1, Y, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5 CALL DSYR2( 'U', 0, ALPHA, X, 0, Y, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7 CALL DSYR2( 'U', 0, ALPHA, X, 1, Y, 0, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9 CALL DSYR2( 'U', 2, ALPHA, X, 1, Y, 1, A, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GOTO170 160 INFOT = 1 CALL DSPR2( '/', 0, ALPHA, X, 1, Y, 1, A ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2 CALL DSPR2( 'U', -1, ALPHA, X, 1, Y, 1, A ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5 CALL DSPR2( 'U', 0, ALPHA, X, 0, Y, 1, A ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7 CALL DSPR2( 'U', 0, ALPHA, X, 1, Y, 0, A ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
* 170IF( OK )THEN WRITE( NOUT, FMT = 9999 )SRNAMT ELSE WRITE( NOUT, FMT = 9998 )SRNAMT ENDIF RETURN
* 9999FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' ) 9998FORMAT( ' ******* ', A6, ' FAILED THE TESTS OF ERROR-EXITS *****',
$ '**' )
*
* End of DCHKE.
* 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 .. DOUBLEPRECISION ZERO, ONE PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 ) DOUBLEPRECISION ROGUE PARAMETER ( ROGUE = -1.0D10 )
* .. Scalar Arguments .. DOUBLEPRECISION TRANSL INTEGER KL, KU, LDA, M, N, NMAX LOGICAL RESET CHARACTER*1 DIAG, UPLO CHARACTER*2TYPE
* .. Array Arguments .. DOUBLEPRECISION A( NMAX, * ), AA( * )
* .. Local Scalars .. INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, KK LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
* .. External Functions .. DOUBLEPRECISION 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 datain array A.
* DO20 J = 1, N DO10 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 ENDIF IF( I.NE.J )THEN IF( SYM )THEN
A( J, I ) = A( I, J ) ELSEIF( TRI )THEN
A( J, I ) = ZERO ENDIF ENDIF ENDIF 10CONTINUE IF( TRI )
$ A( J, J ) = A( J, J ) + ONE IF( UNIT )
$ A( J, J ) = ONE 20CONTINUE
*
* Store elements in array AS indata structure required by routine.
* IF( TYPE.EQ.'GE' )THEN DO50 J = 1, N DO30 I = 1, M
AA( I + ( J - 1 )*LDA ) = A( I, J ) 30CONTINUE DO40 I = M + 1, LDA
AA( I + ( J - 1 )*LDA ) = ROGUE 40CONTINUE 50CONTINUE ELSEIF( TYPE.EQ.'GB' )THEN DO90 J = 1, N DO60 I1 = 1, KU + 1 - J
AA( I1 + ( J - 1 )*LDA ) = ROGUE 60CONTINUE DO70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J )
AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J ) 70CONTINUE DO80 I3 = I2, LDA
AA( I3 + ( J - 1 )*LDA ) = ROGUE 80CONTINUE 90CONTINUE ELSEIF( TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN DO130 J = 1, N IF( UPPER )THEN
IBEG = 1 IF( UNIT )THEN
IEND = J - 1 ELSE
IEND = J ENDIF ELSE IF( UNIT )THEN
IBEG = J + 1 ELSE
IBEG = J ENDIF
IEND = N ENDIF DO100 I = 1, IBEG - 1
AA( I + ( J - 1 )*LDA ) = ROGUE 100CONTINUE DO110 I = IBEG, IEND
AA( I + ( J - 1 )*LDA ) = A( I, J ) 110CONTINUE DO120 I = IEND + 1, LDA
AA( I + ( J - 1 )*LDA ) = ROGUE 120CONTINUE 130CONTINUE ELSEIF( TYPE.EQ.'SB'.OR.TYPE.EQ.'TB' )THEN DO170 J = 1, N IF( UPPER )THEN
KK = KL + 1
IBEG = MAX( 1, KL + 2 - J ) IF( UNIT )THEN
IEND = KL ELSE
IEND = KL + 1 ENDIF ELSE
KK = 1 IF( UNIT )THEN
IBEG = 2 ELSE
IBEG = 1 ENDIF
IEND = MIN( KL + 1, 1 + M - J ) ENDIF DO140 I = 1, IBEG - 1
AA( I + ( J - 1 )*LDA ) = ROGUE 140CONTINUE DO150 I = IBEG, IEND
AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J ) 150CONTINUE DO160 I = IEND + 1, LDA
AA( I + ( J - 1 )*LDA ) = ROGUE 160CONTINUE 170CONTINUE ELSEIF( TYPE.EQ.'SP'.OR.TYPE.EQ.'TP' )THEN
IOFF = 0 DO190 J = 1, N IF( UPPER )THEN
IBEG = 1
IEND = J ELSE
IBEG = J
IEND = N ENDIF DO180 I = IBEG, IEND
IOFF = IOFF + 1
AA( IOFF ) = A( I, J ) IF( I.EQ.J )THEN IF( UNIT )
$ AA( IOFF ) = ROGUE ENDIF 180CONTINUE 190CONTINUE ENDIF 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 .. DOUBLEPRECISION ZERO, ONE PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
* .. Scalar Arguments .. DOUBLEPRECISION ALPHA, BETA, EPS, ERR INTEGER INCX, INCY, M, N, NMAX, NOUT LOGICAL FATAL, MV CHARACTER*1 TRANS
* .. Array Arguments .. DOUBLEPRECISION A( NMAX, * ), G( * ), X( * ), Y( * ), YT( * ),
$ YY( * )
* .. Local Scalars .. DOUBLEPRECISION 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 ENDIF IF( INCX.LT.0 )THEN
KX = NL
INCXL = -1 ELSE
KX = 1
INCXL = 1 ENDIF IF( INCY.LT.0 )THEN
KY = ML
INCYL = -1 ELSE
KY = 1
INCYL = 1 ENDIF
*
* Compute expected result in YT using datain A, X and Y.
* Compute gauges in G.
*
IY = KY DO30 I = 1, ML
YT( IY ) = ZERO
G( IY ) = ZERO
JX = KX IF( TRAN )THEN DO10 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 10CONTINUE ELSE DO20 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 20CONTINUE ENDIF
YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
G( IY ) = ABS( ALPHA )*G( IY ) + ABS( BETA*Y( IY ) )
IY = IY + INCYL 30CONTINUE
*
* Compute the error ratio for this result.
* ERR = ZERO DO40 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 )
$ GOTO50 40CONTINUE
* If the loop completes, all results are at least half accurate. GOTO70
*
* Report fatal error.
* 50 FATAL = .TRUE. WRITE( NOUT, FMT = 9999 ) DO60 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 ) ENDIF 60CONTINUE
* 70CONTINUE RETURN
* 9999FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
$ 'F ACCURATE *******', /' EXPECTED RESULT COMPU',
$ 'TED RESULT' ) 9998FORMAT( 1X, I7, 2G18.6 )
*
* End of DMVCH.
* END LOGICALFUNCTION 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 .. DOUBLEPRECISION RI( * ), RJ( * )
* .. Local Scalars .. INTEGER I
* .. Executable Statements .. DO10 I = 1, LR IF( RI( I ).NE.RJ( I ) )
$ GOTO20 10CONTINUE
LDE = .TRUE. GOTO30 20CONTINUE
LDE = .FALSE. 30RETURN
*
* End of LDE.
* END LOGICALFUNCTION 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*2TYPE
* .. Array Arguments .. DOUBLEPRECISION AA( LDA, * ), AS( LDA, * )
* .. Local Scalars .. INTEGER I, IBEG, IEND, J LOGICAL UPPER
* .. Executable Statements ..
UPPER = UPLO.EQ.'U' IF( TYPE.EQ.'GE' )THEN DO20 J = 1, N DO10 I = M + 1, LDA IF( AA( I, J ).NE.AS( I, J ) )
$ GOTO70 10CONTINUE 20CONTINUE ELSEIF( TYPE.EQ.'SY' )THEN DO50 J = 1, N IF( UPPER )THEN
IBEG = 1
IEND = J ELSE
IBEG = J
IEND = N ENDIF DO30 I = 1, IBEG - 1 IF( AA( I, J ).NE.AS( I, J ) )
$ GOTO70 30CONTINUE DO40 I = IEND + 1, LDA IF( AA( I, J ).NE.AS( I, J ) )
$ GOTO70 40CONTINUE 50CONTINUE ENDIF
*
LDERES = .TRUE. GOTO80 70CONTINUE
LDERES = .FALSE. 80RETURN
*
* End of LDERES.
* END DOUBLEPRECISIONFUNCTION 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. ENDIF
*
* 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 in6.
*
IC = IC + 1 10 I = I*MI
I = I - 1000*( I/1000 ) IF( IC.GE.5 )THEN
IC = 0 GOTO10 ENDIF
DBEG = DBLE( I - 500 )/1001.0D0 RETURN
*
* End of DBEG.
* END DOUBLEPRECISIONFUNCTION DDIFF( X, Y )
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
*
* .. Scalar Arguments .. DOUBLEPRECISION X, Y
* .. Executable Statements ..
DDIFF = X - Y RETURN
*
* End of DDIFF.
* END SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
*
* Tests whether XERBLA has detected an error when it should.
*
* 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 INFOT, NOUT LOGICAL LERR, OK CHARACTER*6 SRNAMT
* .. Executable Statements .. IF( .NOT.LERR )THEN WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT
OK = .FALSE. ENDIF
LERR = .FALSE. RETURN
* 9999FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D',
$ 'ETECTED BY ', A6, ' *****' )
*
* End of CHKXER.
* END SUBROUTINE XERBLA( SRNAME, INFO )
*
* This is a special version of XERBLA to be used only as part of
* the test program for testing error exits from the Level 2 BLAS
* routines.
*
* XERBLA is an error handler for the Level 2 BLAS routines.
*
* It is called by the Level 2 BLAS routines if an input parameter is
* invalid.
*
* 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 INFO CHARACTER*6 SRNAME
* .. Scalars inCommon .. INTEGER INFOT, NOUT LOGICAL LERR, OK CHARACTER*6 SRNAMT
* .. Common blocks .. COMMON /INFOC/INFOT, NOUT, OK, LERR COMMON /SRNAMC/SRNAMT
* .. Executable Statements ..
LERR = .TRUE. IF( INFO.NE.INFOT )THEN IF( INFOT.NE.0 )THEN WRITE( NOUT, FMT = 9999 )INFO, INFOT ELSE WRITE( NOUT, FMT = 9997 )INFO ENDIF
OK = .FALSE. ENDIF IF( SRNAME.NE.SRNAMT )THEN WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT
OK = .FALSE. ENDIF RETURN
* 9999FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD',
$ ' OF ', I2, ' *******' ) 9998FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE',
$ 'AD OF ', A6, ' *******' ) 9997FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6,
$ ' *******' )
*
* End of XERBLA
* END
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Bemerkung:
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