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*> \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 DOUBLE PRECISION Level 2 Blas.*>*> The program must be driven by a short data file. 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*> 6 UNIT NUMBER OF SUMMARY FILE*> 'DBLAT2.SNAP' NAME OF SNAPSHOT OUTPUT FILE*> -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0)*> F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD.*> F LOGICAL FLAG, T TO STOP ON FAILURES.*> T LOGICAL FLAG, T TO TEST ERROR EXITS.*> 16.0 THRESHOLD VALUE OF TEST RATIO*> 6 NUMBER OF VALUES OF N*> 0 1 2 3 5 9 VALUES OF N*> 4 NUMBER OF VALUES OF K*> 0 1 2 4 VALUES OF K*> 4 NUMBER OF VALUES OF INCX AND INCY*> 1 2 -1 -2 VALUES OF INCX AND INCY*> 3 NUMBER OF VALUES OF ALPHA*> 0.0 1.0 0.7 VALUES OF ALPHA*> 3 NUMBER OF VALUES OF BETA*> 0.0 1.0 0.9 VALUES OF 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., 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.*>*> 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 ) DOUBLE PRECISION 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 .. DOUBLE PRECISION 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 .. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ), $ G( NMAX ), X( NMAX ), XS( NMAX*INCMAX ), $ XX( NMAX*INCMAX ), Y( NMAX ), $ YS( NMAX*INCMAX ), YT( NMAX ), $ YY( NMAX*INCMAX ), Z( 2*NMAX ) INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX ) LOGICAL LTEST( NSUBS ) CHARACTER*6 SNAMES( NSUBS )* .. External Functions .. DOUBLE PRECISION DDIFF LOGICAL LDE EXTERNAL DDIFF, LDE* .. External Subroutines .. EXTERNAL DCHK1, DCHK2, DCHK3, DCHK4, DCHK5, DCHK6, $ DCHKE, DMVCH* .. Intrinsic Functions .. INTRINSIC ABS, MAX, MIN* .. Scalars in Common .. 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 ..** Read name and unit number for summary output file and open file.* READ( NIN, FMT = * )SUMMRY READ( NIN, FMT = * )NOUT OPEN( NOUT, FILE = SUMMRY, STATUS = 'UNKNOWN' ) NOUTC = NOUT** Read name and unit number for snapshot output file and open file.* READ( NIN, FMT = * )SNAPS READ( NIN, FMT = * )NTRA TRACE = NTRA.GE.0 IF( TRACE )THEN OPEN( NTRA, FILE = SNAPS, STATUS = 'UNKNOWN' ) 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 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 = * )** 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 = EPSILON(ZERO) WRITE( NOUT, FMT = 9998 )EPS** Check the reliability of DMVCH using exact data.* N = MIN( 32, NMAX ) DO 120 J = 1, N DO 110 I = 1, N A( I, J ) = MAX( I - J + 1, 0 ) 110 CONTINUE X( J ) = J Y( J ) = ZERO 120 CONTINUE DO 130 J = 1, N YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 130 CONTINUE* YY holds the exact result. On exit from DMVCH YT holds* the result computed by DMVCH. TRANS = 'N' CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G, $ YY, EPS, ERR, FATAL, NOUT, .TRUE. ) SAME = LDE( YY, YT, N ) IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR STOP END IF TRANS = 'T' CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G, $ YY, EPS, ERR, FATAL, NOUT, .TRUE. ) SAME = LDE( YY, YT, N ) IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR STOP END IF** Test each subroutine in turn.* DO 210 ISNUM = 1, NSUBS WRITE( NOUT, FMT = * ) IF( .NOT.LTEST( ISNUM ) )THEN* Subprogram is not to be tested. WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM ) ELSE SRNAMT = SNAMES( ISNUM )* Test error exits. IF( TSTERR )THEN CALL DCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) WRITE( NOUT, FMT = * ) END IF* Test computations. INFOT = 0 OK = .TRUE. FATAL = .FALSE. GO TO ( 140, 140, 150, 150, 150, 160, 160, $ 160, 160, 160, 160, 170, 180, 180, $ 190, 190 )ISNUM* Test DGEMV, 01, and DGBMV, 02. 140 CALL DCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS, $ X, XX, XS, Y, YY, YS, YT, G ) GO TO 200* Test DSYMV, 03, DSBMV, 04, and DSPMV, 05. 150 CALL DCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS, $ X, XX, XS, Y, YY, YS, YT, G ) GO TO 200* Test DTRMV, 06, DTBMV, 07, DTPMV, 08,* DTRSV, 09, DTBSV, 10, and DTPSV, 11. 160 CALL DCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z ) GO TO 200* Test DGER, 12. 170 CALL DCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, $ YT, G, Z ) GO TO 200* Test DSYR, 13, and DSPR, 14. 180 CALL DCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, $ YT, G, Z ) GO TO 200* Test DSYR2, 15, and DSPR2, 16. 190 CALL DCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, $ YT, G, Z )* 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* 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', $ 'S THAN', F8.2 ) 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, D9.1 ) 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', $ 'THAN ', I2 ) 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' ) 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ', $ I2 ) 9993 FORMAT( ' TESTS OF THE DOUBLE PRECISION LEVEL 2 BLAS', //' THE F', $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) 9992 FORMAT( ' FOR N ', 9I6 ) 9991 FORMAT( ' FOR K ', 7I6 ) 9990 FORMAT( ' FOR INCX AND INCY ', 7I6 ) 9989 FORMAT( ' FOR ALPHA ', 7F6.1 ) 9988 FORMAT( ' FOR BETA ', 7F6.1 ) 9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', $ /' ******* TESTS ABANDONED *******' ) 9986 FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T', $ 'ESTS ABANDONED *******' ) 9985 FORMAT( ' ERROR IN DMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', $ 'ATED WRONGLY.', /' DMVCH WAS CALLED WITH TRANS = ', A1, $ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', / $ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.' $ , /' ******* TESTS ABANDONED *******' ) 9984 FORMAT( A6, L2 ) 9983 FORMAT( 1X, A6, ' WAS NOT TESTED' ) 9982 FORMAT( /' END OF TESTS' ) 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )** End of DBLAT2.* END SUBROUTINE DCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET, $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX, $ XS, Y, YY, YS, YT, G )** Tests DGEMV and DGBMV.** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.* Jeremy Du Croz, NAG Central Office.** .. Parameters .. DOUBLE PRECISION ZERO, HALF PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0 )* .. Scalar Arguments .. DOUBLE PRECISION EPS, THRESH INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX, $ NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME* .. Array Arguments .. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), $ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ), $ X( NMAX ), XS( NMAX*INCMAX ), $ XX( NMAX*INCMAX ), Y( NMAX ), $ YS( NMAX*INCMAX ), YT( NMAX ), $ YY( NMAX*INCMAX ) INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )* .. Local Scalars .. DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY, $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA, $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK, $ NL, NS LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN CHARACTER*1 TRANS, TRANSS CHARACTER*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 in Common .. 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 ELSE IF( BANDED )THEN NARGS = 13 END IF* NC = 0 RESET = .TRUE. ERRMAX = ZERO* DO 120 IN = 1, NIDIM N = IDIM( IN ) ND = N/2 + 1* DO 110 IM = 1, 2 IF( IM.EQ.1 ) $ M = MAX( N - ND, 0 ) IF( IM.EQ.2 ) $ M = MIN( N + ND, NMAX )* IF( BANDED )THEN NK = NKB ELSE NK = 1 END IF DO 100 IKU = 1, NK IF( BANDED )THEN KU = KB( IKU ) KL = MAX( KU - 1, 0 ) ELSE KU = N - 1 KL = M - 1 END IF* Set LDA to 1 more than minimum value if room. IF( BANDED )THEN LDA = KL + KU + 1 ELSE LDA = M END IF IF( LDA.LT.NMAX ) $ LDA = LDA + 1* Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 100 LAA = LDA*N NULL = N.LE.0.OR.M.LE.0** Generate the matrix A.* TRANSL = ZERO CALL DMAKE( SNAME( 2: 3 ), ' ', ' ', M, N, A, NMAX, AA, $ LDA, KL, KU, RESET, TRANSL )* DO 90 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 END IF* DO 80 IX = 1, NINC INCX = INC( IX ) LX = ABS( INCX )*NL** Generate the vector X.* TRANSL = HALF CALL DMAKE( 'GE', ' ', ' ', 1, NL, X, 1, XX, $ ABS( INCX ), 0, NL - 1, RESET, TRANSL ) IF( NL.GT.1 )THEN X( NL/2 ) = ZERO XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO END IF* DO 70 IY = 1, NINC INCY = INC( IY ) LY = ABS( INCY )*ML* DO 60 IA = 1, NALF ALPHA = ALF( IA )* DO 50 IB = 1, NBET BETA = BET( IB )** Generate the vector Y.* TRANSL = ZERO CALL DMAKE( 'GE', ' ', ' ', 1, ML, Y, 1, $ YY, ABS( INCY ), 0, ML - 1, $ RESET, TRANSL )* NC = NC + 1** Save every datum before calling the* subroutine.* TRANSS = TRANS MS = M NS = N KLS = KL KUS = KU ALS = ALPHA DO 10 I = 1, LAA AS( I ) = AA( I ) 10 CONTINUE LDAS = LDA DO 20 I = 1, LX XS( I ) = XX( I ) 20 CONTINUE INCXS = INCX BLS = BETA DO 30 I = 1, LY YS( I ) = YY( I ) 30 CONTINUE INCYS = INCY** Call the subroutine.* IF( FULL )THEN IF( TRACE ) $ WRITE( NTRA, FMT = 9994 )NC, SNAME, $ 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 ) ELSE IF( 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 ) END IF** Check if error-exit was taken incorrectly.* IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9993 ) FATAL = .TRUE. GO TO 130 END IF** See what data changed inside subroutines.* ISAME( 1 ) = TRANS.EQ.TRANSS ISAME( 2 ) = MS.EQ.M ISAME( 3 ) = NS.EQ.N IF( FULL )THEN ISAME( 4 ) = ALS.EQ.ALPHA ISAME( 5 ) = LDE( AS, AA, LAA ) ISAME( 6 ) = LDAS.EQ.LDA ISAME( 7 ) = LDE( XS, XX, LX ) ISAME( 8 ) = INCXS.EQ.INCX ISAME( 9 ) = BLS.EQ.BETA IF( NULL )THEN ISAME( 10 ) = LDE( YS, YY, LY ) ELSE ISAME( 10 ) = LDERES( 'GE', ' ', 1, $ ML, YS, YY, $ ABS( INCY ) ) END IF ISAME( 11 ) = INCYS.EQ.INCY ELSE IF( BANDED )THEN ISAME( 4 ) = KLS.EQ.KL ISAME( 5 ) = KUS.EQ.KU ISAME( 6 ) = ALS.EQ.ALPHA ISAME( 7 ) = LDE( AS, AA, LAA ) ISAME( 8 ) = LDAS.EQ.LDA ISAME( 9 ) = LDE( XS, XX, LX ) ISAME( 10 ) = INCXS.EQ.INCX ISAME( 11 ) = BLS.EQ.BETA IF( NULL )THEN ISAME( 12 ) = LDE( YS, YY, LY ) ELSE ISAME( 12 ) = LDERES( 'GE', ' ', 1, $ ML, YS, YY, $ ABS( INCY ) ) END IF ISAME( 13 ) = INCYS.EQ.INCY END IF** If data was incorrectly changed, report* and return.* SAME = .TRUE. DO 40 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 40 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 130 END IF* IF( .NOT.NULL )THEN** Check the result.* CALL DMVCH( TRANS, M, N, ALPHA, A, $ NMAX, X, INCX, BETA, Y, $ INCY, YT, G, YY, EPS, ERR, $ FATAL, NOUT, .TRUE. ) ERRMAX = MAX( ERRMAX, ERR )* If got really bad answer, report and* return. IF( FATAL ) $ GO TO 130 ELSE* Avoid repeating tests with M.le.0 or* N.le.0. GO TO 110 END IF* 50 CONTINUE* 60 CONTINUE* 70 CONTINUE* 80 CONTINUE* 90 CONTINUE* 100 CONTINUE* 110 CONTINUE* 120 CONTINUE** Report result.* IF( ERRMAX.LT.THRESH )THEN 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, TRANS, M, N, ALPHA, LDA, $ INCX, BETA, INCY ELSE IF( BANDED )THEN WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANS, M, N, KL, KU, $ ALPHA, LDA, INCX, BETA, INCY END IF* 140 CONTINUE RETURN* 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 4( I3, ',' ), F4.1, $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), F4.1, $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2, $ ') .' ) 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', $ '******' )** End of DCHK1.* END SUBROUTINE DCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET, $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX, $ XS, Y, YY, YS, YT, G )** Tests DSYMV, DSBMV and DSPMV.** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.* Jeremy Du Croz, NAG Central Office.** .. Parameters .. DOUBLE PRECISION ZERO, HALF PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0 )* .. Scalar Arguments .. DOUBLE PRECISION EPS, THRESH INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX, $ NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME* .. Array Arguments .. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), $ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ), $ X( NMAX ), XS( NMAX*INCMAX ), $ XX( NMAX*INCMAX ), Y( NMAX ), $ YS( NMAX*INCMAX ), YT( NMAX ), $ YY( NMAX*INCMAX ) INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )* .. Local Scalars .. DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY, $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY, $ N, NARGS, NC, NK, NS LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME CHARACTER*1 UPLO, UPLOS CHARACTER*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 in Common .. 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 ELSE IF( BANDED )THEN NARGS = 11 ELSE IF( PACKED )THEN NARGS = 9 END IF* NC = 0 RESET = .TRUE. ERRMAX = ZERO* DO 110 IN = 1, NIDIM N = IDIM( IN )* IF( BANDED )THEN NK = NKB ELSE NK = 1 END IF DO 100 IK = 1, NK IF( BANDED )THEN K = KB( IK ) ELSE K = N - 1 END IF* Set LDA to 1 more than minimum value if room. IF( BANDED )THEN LDA = K + 1 ELSE LDA = N END IF IF( LDA.LT.NMAX ) $ LDA = LDA + 1* Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 100 IF( PACKED )THEN LAA = ( N*( N + 1 ) )/2 ELSE LAA = LDA*N END IF NULL = N.LE.0* DO 90 IC = 1, 2 UPLO = ICH( IC: IC )** Generate the matrix A.* TRANSL = ZERO CALL DMAKE( SNAME( 2: 3 ), UPLO, ' ', N, N, A, NMAX, AA, $ LDA, K, K, RESET, TRANSL )* DO 80 IX = 1, NINC INCX = INC( IX ) LX = ABS( INCX )*N** Generate the vector X.* TRANSL = HALF CALL DMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, $ ABS( INCX ), 0, N - 1, RESET, TRANSL ) IF( N.GT.1 )THEN X( N/2 ) = ZERO XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO END IF* DO 70 IY = 1, NINC INCY = INC( IY ) LY = ABS( INCY )*N* DO 60 IA = 1, NALF ALPHA = ALF( IA )* DO 50 IB = 1, NBET BETA = BET( IB )** Generate the vector Y.* TRANSL = ZERO CALL DMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, $ ABS( INCY ), 0, N - 1, RESET, $ TRANSL )* NC = NC + 1** Save every datum before calling the* subroutine.* UPLOS = UPLO NS = N KS = K ALS = ALPHA DO 10 I = 1, LAA AS( I ) = AA( I ) 10 CONTINUE LDAS = LDA DO 20 I = 1, LX XS( I ) = XX( I ) 20 CONTINUE INCXS = INCX BLS = BETA DO 30 I = 1, LY YS( I ) = YY( I ) 30 CONTINUE INCYS = INCY** Call the subroutine.* IF( FULL )THEN IF( TRACE ) $ WRITE( NTRA, FMT = 9993 )NC, SNAME, $ UPLO, N, ALPHA, LDA, INCX, BETA, INCY IF( REWI ) $ REWIND NTRA CALL DSYMV( UPLO, N, ALPHA, AA, LDA, XX, $ INCX, BETA, YY, INCY ) ELSE IF( 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 ) ELSE IF( 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 ) END IF** Check if error-exit was taken incorrectly.* IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9992 ) FATAL = .TRUE. GO TO 120 END IF** See what data changed inside subroutines.* ISAME( 1 ) = UPLO.EQ.UPLOS ISAME( 2 ) = NS.EQ.N IF( FULL )THEN ISAME( 3 ) = ALS.EQ.ALPHA ISAME( 4 ) = LDE( AS, AA, LAA ) ISAME( 5 ) = LDAS.EQ.LDA ISAME( 6 ) = LDE( XS, XX, LX ) ISAME( 7 ) = INCXS.EQ.INCX ISAME( 8 ) = BLS.EQ.BETA IF( NULL )THEN ISAME( 9 ) = LDE( YS, YY, LY ) ELSE ISAME( 9 ) = LDERES( 'GE', ' ', 1, N, $ YS, YY, ABS( INCY ) ) END IF ISAME( 10 ) = INCYS.EQ.INCY ELSE IF( BANDED )THEN ISAME( 3 ) = KS.EQ.K ISAME( 4 ) = ALS.EQ.ALPHA ISAME( 5 ) = LDE( AS, AA, LAA ) ISAME( 6 ) = LDAS.EQ.LDA ISAME( 7 ) = LDE( XS, XX, LX ) ISAME( 8 ) = INCXS.EQ.INCX ISAME( 9 ) = BLS.EQ.BETA IF( NULL )THEN ISAME( 10 ) = LDE( YS, YY, LY ) ELSE ISAME( 10 ) = LDERES( 'GE', ' ', 1, N, $ YS, YY, ABS( INCY ) ) END IF ISAME( 11 ) = INCYS.EQ.INCY ELSE IF( PACKED )THEN ISAME( 3 ) = ALS.EQ.ALPHA ISAME( 4 ) = LDE( AS, AA, LAA ) ISAME( 5 ) = LDE( XS, XX, LX ) ISAME( 6 ) = INCXS.EQ.INCX ISAME( 7 ) = BLS.EQ.BETA IF( NULL )THEN ISAME( 8 ) = LDE( YS, YY, LY ) ELSE ISAME( 8 ) = LDERES( 'GE', ' ', 1, N, $ YS, YY, ABS( INCY ) ) END IF ISAME( 9 ) = INCYS.EQ.INCY END IF** If data was incorrectly changed, report and* return.* SAME = .TRUE. DO 40 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 40 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 120 END IF* IF( .NOT.NULL )THEN** Check the result.* CALL DMVCH( 'N', N, N, ALPHA, A, NMAX, X, $ INCX, BETA, Y, INCY, YT, G, $ YY, EPS, ERR, FATAL, NOUT, $ .TRUE. ) ERRMAX = MAX( ERRMAX, ERR )* If got really bad answer, report and* return. IF( FATAL ) $ GO TO 120 ELSE* Avoid repeating tests with N.le.0 GO TO 110 END IF* 50 CONTINUE* 60 CONTINUE* 70 CONTINUE* 80 CONTINUE* 90 CONTINUE* 100 CONTINUE* 110 CONTINUE** Report result.* IF( ERRMAX.LT.THRESH )THEN 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, UPLO, N, ALPHA, LDA, INCX, $ BETA, INCY ELSE IF( BANDED )THEN WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, K, ALPHA, LDA, $ INCX, BETA, INCY ELSE IF( PACKED )THEN WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, N, ALPHA, INCX, $ BETA, INCY END IF* 130 CONTINUE RETURN* 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', AP', $ ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), F4.1, $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2, $ ') .' ) 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', A,', $ I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' ) 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', $ '******' )** End of DCHK2.* END SUBROUTINE DCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX, $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z )** Tests DTRMV, DTBMV, DTPMV, DTRSV, DTBSV and DTPSV.** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.* Jeremy Du Croz, NAG Central Office.** .. Parameters .. DOUBLE PRECISION ZERO, HALF, ONE PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )* .. Scalar Arguments .. DOUBLE PRECISION EPS, THRESH INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME* .. Array Arguments .. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), $ XS( NMAX*INCMAX ), XT( NMAX ), $ XX( NMAX*INCMAX ), Z( NMAX ) INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )* .. Local Scalars .. DOUBLE PRECISION ERR, ERRMAX, TRANSL INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K, $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS CHARACTER*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 in Common .. 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 ELSE IF( BANDED )THEN NARGS = 9 ELSE IF( PACKED )THEN NARGS = 7 END IF* NC = 0 RESET = .TRUE. ERRMAX = ZERO* Set up zero vector for DMVCH. DO 10 I = 1, NMAX Z( I ) = ZERO 10 CONTINUE* DO 110 IN = 1, NIDIM N = IDIM( IN )* IF( BANDED )THEN NK = NKB ELSE NK = 1 END IF DO 100 IK = 1, NK IF( BANDED )THEN K = KB( IK ) ELSE K = N - 1 END IF* Set LDA to 1 more than minimum value if room. IF( BANDED )THEN LDA = K + 1 ELSE LDA = N END IF IF( LDA.LT.NMAX ) $ LDA = LDA + 1* Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 100 IF( PACKED )THEN LAA = ( N*( N + 1 ) )/2 ELSE LAA = LDA*N END IF NULL = N.LE.0* DO 90 ICU = 1, 2 UPLO = ICHU( ICU: ICU )* DO 80 ICT = 1, 3 TRANS = ICHT( ICT: ICT )* DO 70 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 )* DO 60 IX = 1, NINC INCX = INC( IX ) LX = ABS( INCX )*N** Generate the vector X.* TRANSL = HALF CALL DMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, $ ABS( INCX ), 0, N - 1, RESET, $ TRANSL ) IF( N.GT.1 )THEN X( N/2 ) = ZERO XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO END IF* NC = NC + 1** Save every datum before calling the subroutine.* UPLOS = UPLO TRANSS = TRANS DIAGS = DIAG NS = N KS = K DO 20 I = 1, LAA AS( I ) = AA( I ) 20 CONTINUE LDAS = LDA DO 30 I = 1, LX XS( I ) = XX( I ) 30 CONTINUE INCXS = INCX** Call the subroutine.* IF( SNAME( 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 ) ELSE IF( 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 ) ELSE IF( 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 ) END IF ELSE IF( 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 ) ELSE IF( 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 ) ELSE IF( 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 ) END IF END IF** Check if error-exit was taken incorrectly.* IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9992 ) FATAL = .TRUE. GO TO 120 END IF** See what data changed inside subroutines.* ISAME( 1 ) = UPLO.EQ.UPLOS ISAME( 2 ) = TRANS.EQ.TRANSS ISAME( 3 ) = DIAG.EQ.DIAGS ISAME( 4 ) = NS.EQ.N IF( FULL )THEN ISAME( 5 ) = LDE( AS, AA, LAA ) ISAME( 6 ) = LDAS.EQ.LDA IF( NULL )THEN ISAME( 7 ) = LDE( XS, XX, LX ) ELSE ISAME( 7 ) = LDERES( 'GE', ' ', 1, N, XS, $ XX, ABS( INCX ) ) END IF ISAME( 8 ) = INCXS.EQ.INCX ELSE IF( BANDED )THEN ISAME( 5 ) = KS.EQ.K ISAME( 6 ) = LDE( AS, AA, LAA ) ISAME( 7 ) = LDAS.EQ.LDA IF( NULL )THEN ISAME( 8 ) = LDE( XS, XX, LX ) ELSE ISAME( 8 ) = LDERES( 'GE', ' ', 1, N, XS, $ XX, ABS( INCX ) ) END IF ISAME( 9 ) = INCXS.EQ.INCX ELSE IF( PACKED )THEN ISAME( 5 ) = LDE( AS, AA, LAA ) IF( NULL )THEN ISAME( 6 ) = LDE( XS, XX, LX ) ELSE ISAME( 6 ) = LDERES( 'GE', ' ', 1, N, XS, $ XX, ABS( INCX ) ) END IF ISAME( 7 ) = INCXS.EQ.INCX END IF** If data was incorrectly changed, report and* return.* SAME = .TRUE. DO 40 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 40 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 120 END IF* IF( .NOT.NULL )THEN IF( SNAME( 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. ) ELSE IF( SNAME( 4: 5 ).EQ.'SV' )THEN** Compute approximation to original vector.* DO 50 I = 1, N Z( I ) = XX( 1 + ( I - 1 )* $ ABS( INCX ) ) XX( 1 + ( I - 1 )*ABS( INCX ) ) $ = X( I ) 50 CONTINUE CALL DMVCH( TRANS, N, N, ONE, A, NMAX, Z, $ INCX, ZERO, X, INCX, XT, G, $ XX, EPS, ERR, FATAL, NOUT, $ .FALSE. ) END IF ERRMAX = MAX( ERRMAX, ERR )* If got really bad answer, report and return. IF( FATAL ) $ GO TO 120 ELSE* Avoid repeating tests with N.le.0. GO TO 110 END IF* 60 CONTINUE* 70 CONTINUE* 80 CONTINUE* 90 CONTINUE* 100 CONTINUE* 110 CONTINUE** Report result.* IF( ERRMAX.LT.THRESH )THEN 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, UPLO, TRANS, DIAG, N, LDA, $ INCX ELSE IF( BANDED )THEN WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, DIAG, N, K, $ LDA, INCX ELSE IF( PACKED )THEN WRITE( NOUT, FMT = 9995 )NC, SNAME, UPLO, TRANS, DIAG, N, INCX END IF* 130 CONTINUE RETURN* 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', AP, ', $ 'X,', I2, ') .' ) 9994 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), 2( I3, ',' ), $ ' A,', I3, ', X,', I2, ') .' ) 9993 FORMAT( 1X, I6, ': ', A6, '(', 3( '''', A1, ''',' ), I3, ', A,', $ I3, ', X,', I2, ') .' ) 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', $ '******' )** End of DCHK3.* END SUBROUTINE DCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, $ Z )** Tests DGER.** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.* Jeremy Du Croz, NAG Central Office.** .. Parameters .. DOUBLE PRECISION ZERO, HALF, ONE PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )* .. Scalar Arguments .. DOUBLE PRECISION EPS, THRESH INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME* .. Array Arguments .. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), $ YY( NMAX*INCMAX ), Z( NMAX ) INTEGER IDIM( NIDIM ), INC( NINC )* .. Local Scalars .. DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX, TRANSL INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX, $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS, $ NC, ND, NS LOGICAL NULL, RESET, SAME* .. Local Arrays .. DOUBLE PRECISION W( 1 ) LOGICAL ISAME( 13 )* .. External Functions .. LOGICAL LDE, LDERES EXTERNAL LDE, LDERES* .. External Subroutines .. EXTERNAL DGER, DMAKE, DMVCH* .. Intrinsic Functions .. INTRINSIC ABS, MAX, MIN* .. Scalars in Common .. INTEGER INFOT, NOUTC LOGICAL 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* DO 120 IN = 1, NIDIM N = IDIM( IN ) ND = N/2 + 1* DO 110 IM = 1, 2 IF( IM.EQ.1 ) $ M = MAX( N - ND, 0 ) IF( IM.EQ.2 ) $ M = MIN( N + ND, NMAX )** Set LDA to 1 more than minimum value if room. LDA = M IF( LDA.LT.NMAX ) $ LDA = LDA + 1* Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 110 LAA = LDA*N NULL = N.LE.0.OR.M.LE.0* DO 100 IX = 1, NINC INCX = INC( IX ) LX = ABS( INCX )*M** Generate the vector X.* TRANSL = HALF CALL DMAKE( 'GE', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ), $ 0, M - 1, RESET, TRANSL ) IF( M.GT.1 )THEN X( M/2 ) = ZERO XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO END IF* DO 90 IY = 1, NINC INCY = INC( IY ) LY = ABS( INCY )*N** Generate the vector Y.* TRANSL = ZERO CALL DMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, $ ABS( INCY ), 0, N - 1, RESET, TRANSL ) IF( N.GT.1 )THEN Y( N/2 ) = ZERO YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO END IF* DO 80 IA = 1, NALF ALPHA = ALF( IA )** Generate the matrix A.* TRANSL = ZERO CALL DMAKE( SNAME( 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 DO 10 I = 1, LAA AS( I ) = AA( I ) 10 CONTINUE LDAS = LDA DO 20 I = 1, LX XS( I ) = XX( I ) 20 CONTINUE INCXS = INCX DO 30 I = 1, LY YS( I ) = YY( I ) 30 CONTINUE INCYS = INCY** Call the subroutine.* IF( TRACE ) $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N, $ ALPHA, INCX, INCY, LDA IF( REWI ) $ REWIND NTRA CALL 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. GO TO 140 END IF** See what data changed inside subroutine.* ISAME( 1 ) = MS.EQ.M ISAME( 2 ) = NS.EQ.N ISAME( 3 ) = ALS.EQ.ALPHA ISAME( 4 ) = LDE( XS, XX, LX ) ISAME( 5 ) = INCXS.EQ.INCX ISAME( 6 ) = LDE( YS, YY, LY ) ISAME( 7 ) = INCYS.EQ.INCY IF( NULL )THEN ISAME( 8 ) = LDE( AS, AA, LAA ) ELSE ISAME( 8 ) = LDERES( 'GE', ' ', M, N, AS, AA, $ LDA ) END IF ISAME( 9 ) = LDAS.EQ.LDA** If data was incorrectly changed, report and return.* SAME = .TRUE. DO 40 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 40 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 140 END IF* IF( .NOT.NULL )THEN** Check the result column by column.* IF( INCX.GT.0 )THEN DO 50 I = 1, M Z( I ) = X( I ) 50 CONTINUE ELSE DO 60 I = 1, M Z( I ) = X( M - I + 1 ) 60 CONTINUE END IF DO 70 J = 1, N IF( INCY.GT.0 )THEN W( 1 ) = Y( J ) ELSE W( 1 ) = Y( N - J + 1 ) END IF CALL DMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1, $ ONE, A( 1, J ), 1, YT, G, $ AA( 1 + ( J - 1 )*LDA ), EPS, $ ERR, FATAL, NOUT, .TRUE. ) ERRMAX = MAX( ERRMAX, ERR )* If got really bad answer, report and return. IF( FATAL ) $ GO TO 130 70 CONTINUE ELSE* Avoid repeating tests with M.le.0 or N.le.0. GO TO 110 END IF* 80 CONTINUE* 90 CONTINUE* 100 CONTINUE* 110 CONTINUE* 120 CONTINUE** Report result.* IF( ERRMAX.LT.THRESH )THEN 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( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( I3, ',' ), F4.1, ', X,', I2, $ ', Y,', I2, ', A,', I3, ') .' ) 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', $ '******' )** End of DCHK4.* END SUBROUTINE DCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, $ Z )** Tests DSYR and DSPR.** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.* Jeremy Du Croz, NAG Central Office.** .. Parameters .. DOUBLE PRECISION ZERO, HALF, ONE PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )* .. Scalar Arguments .. DOUBLE PRECISION EPS, THRESH INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME* .. Array Arguments .. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), $ YY( NMAX*INCMAX ), Z( NMAX ) INTEGER IDIM( NIDIM ), INC( NINC )* .. Local Scalars .. DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX, TRANSL INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA, $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER CHARACTER*1 UPLO, UPLOS CHARACTER*2 ICH* .. Local Arrays .. DOUBLE PRECISION 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 in Common .. 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 ELSE IF( PACKED )THEN NARGS = 6 END IF* NC = 0 RESET = .TRUE. ERRMAX = ZERO* DO 100 IN = 1, NIDIM N = IDIM( IN )* Set LDA to 1 more than minimum value if room. LDA = N IF( LDA.LT.NMAX ) $ LDA = LDA + 1* Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 100 IF( PACKED )THEN LAA = ( N*( N + 1 ) )/2 ELSE LAA = LDA*N END IF* DO 90 IC = 1, 2 UPLO = ICH( IC: IC ) UPPER = UPLO.EQ.'U'* DO 80 IX = 1, NINC INCX = INC( IX ) LX = ABS( INCX )*N** Generate the vector X.* TRANSL = HALF CALL DMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ), $ 0, N - 1, RESET, TRANSL ) IF( N.GT.1 )THEN X( N/2 ) = ZERO XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO END IF* DO 70 IA = 1, NALF ALPHA = ALF( IA ) NULL = N.LE.0.OR.ALPHA.EQ.ZERO** Generate the matrix A.* TRANSL = ZERO CALL DMAKE( SNAME( 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 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, UPLO, N, $ ALPHA, INCX, LDA IF( REWI ) $ REWIND NTRA CALL DSYR( UPLO, N, ALPHA, XX, INCX, AA, LDA ) ELSE IF( 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 ) END IF** Check if error-exit was taken incorrectly.* IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9992 ) FATAL = .TRUE. GO TO 120 END IF** See what data changed inside subroutines.* ISAME( 1 ) = UPLO.EQ.UPLOS ISAME( 2 ) = NS.EQ.N ISAME( 3 ) = ALS.EQ.ALPHA ISAME( 4 ) = LDE( XS, XX, LX ) ISAME( 5 ) = INCXS.EQ.INCX IF( NULL )THEN ISAME( 6 ) = LDE( AS, AA, LAA ) ELSE ISAME( 6 ) = LDERES( SNAME( 2: 3 ), UPLO, N, N, AS, $ AA, LDA ) END IF IF( .NOT.PACKED )THEN ISAME( 7 ) = LDAS.EQ.LDA END IF** If data was incorrectly changed, report and return.* SAME = .TRUE. DO 30 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 30 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 120 END IF* IF( .NOT.NULL )THEN** Check the result column by column.* IF( INCX.GT.0 )THEN DO 40 I = 1, N Z( I ) = X( I ) 40 CONTINUE ELSE DO 50 I = 1, N Z( I ) = X( N - I + 1 ) 50 CONTINUE END IF JA = 1 DO 60 J = 1, N W( 1 ) = Z( J ) IF( UPPER )THEN JJ = 1 LJ = J ELSE JJ = J LJ = N - J + 1 END IF CALL DMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W, $ 1, ONE, A( JJ, J ), 1, YT, G, $ AA( JA ), EPS, ERR, FATAL, NOUT, $ .TRUE. ) IF( FULL )THEN IF( UPPER )THEN JA = JA + LDA ELSE JA = JA + LDA + 1 END IF ELSE JA = JA + LJ END IF ERRMAX = MAX( ERRMAX, ERR )* If got really bad answer, report and return. IF( FATAL ) $ GO TO 110 60 CONTINUE ELSE* Avoid repeating tests if N.le.0. IF( N.LE.0 ) $ GO TO 100 END IF* 70 CONTINUE* 80 CONTINUE* 90 CONTINUE* 100 CONTINUE** Report result.* IF( ERRMAX.LT.THRESH )THEN 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, UPLO, N, ALPHA, INCX, LDA ELSE IF( PACKED )THEN WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX END IF* 130 CONTINUE RETURN* 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', $ I2, ', AP) .' ) 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', $ I2, ', A,', I3, ') .' ) 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', $ '******' )** End of DCHK5.* END SUBROUTINE DCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX, $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G, $ Z )** Tests DSYR2 and DSPR2.** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.* Jeremy Du Croz, NAG Central Office.** .. Parameters .. DOUBLE PRECISION ZERO, HALF, ONE PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )* .. Scalar Arguments .. DOUBLE PRECISION EPS, THRESH INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME* .. Array Arguments .. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ), $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ), $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ), $ YY( NMAX*INCMAX ), Z( NMAX, 2 ) INTEGER IDIM( NIDIM ), INC( NINC )* .. Local Scalars .. DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX, TRANSL INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX, $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N, $ NARGS, NC, NS LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER CHARACTER*1 UPLO, UPLOS CHARACTER*2 ICH* .. Local Arrays .. DOUBLE PRECISION 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 in Common .. 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 ELSE IF( PACKED )THEN NARGS = 8 END IF* NC = 0 RESET = .TRUE. ERRMAX = ZERO* DO 140 IN = 1, NIDIM N = IDIM( IN )* Set LDA to 1 more than minimum value if room. LDA = N IF( LDA.LT.NMAX ) $ LDA = LDA + 1* Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 140 IF( PACKED )THEN LAA = ( N*( N + 1 ) )/2 ELSE LAA = LDA*N END IF* DO 130 IC = 1, 2 UPLO = ICH( IC: IC ) UPPER = UPLO.EQ.'U'* DO 120 IX = 1, NINC INCX = INC( IX ) LX = ABS( INCX )*N** Generate the vector X.* TRANSL = HALF CALL DMAKE( 'GE', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ), $ 0, N - 1, RESET, TRANSL ) IF( N.GT.1 )THEN X( N/2 ) = ZERO XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO END IF* DO 110 IY = 1, NINC INCY = INC( IY ) LY = ABS( INCY )*N** Generate the vector Y.* TRANSL = ZERO CALL DMAKE( 'GE', ' ', ' ', 1, N, Y, 1, YY, $ ABS( INCY ), 0, N - 1, RESET, TRANSL ) IF( N.GT.1 )THEN Y( N/2 ) = ZERO YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO END IF* DO 100 IA = 1, NALF ALPHA = ALF( IA ) NULL = N.LE.0.OR.ALPHA.EQ.ZERO** Generate the matrix A.* TRANSL = ZERO CALL DMAKE( SNAME( 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 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, UPLO, N, $ ALPHA, INCX, INCY, LDA IF( REWI ) $ REWIND NTRA CALL DSYR2( UPLO, N, ALPHA, XX, INCX, YY, INCY, $ AA, LDA ) ELSE IF( 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 ) END IF** Check if error-exit was taken incorrectly.* IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9992 ) FATAL = .TRUE. GO TO 160 END IF** See what data changed inside subroutines.* ISAME( 1 ) = UPLO.EQ.UPLOS ISAME( 2 ) = NS.EQ.N ISAME( 3 ) = ALS.EQ.ALPHA ISAME( 4 ) = LDE( XS, XX, LX ) ISAME( 5 ) = INCXS.EQ.INCX ISAME( 6 ) = LDE( YS, YY, LY ) ISAME( 7 ) = INCYS.EQ.INCY IF( NULL )THEN ISAME( 8 ) = LDE( AS, AA, LAA ) ELSE ISAME( 8 ) = LDERES( SNAME( 2: 3 ), UPLO, N, N, $ AS, AA, LDA ) END IF IF( .NOT.PACKED )THEN ISAME( 9 ) = LDAS.EQ.LDA END IF** If data was incorrectly changed, report and return.* SAME = .TRUE. DO 40 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 40 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 160 END IF* IF( .NOT.NULL )THEN** Check the result column by column.* IF( INCX.GT.0 )THEN DO 50 I = 1, N Z( I, 1 ) = X( I ) 50 CONTINUE ELSE DO 60 I = 1, N Z( I, 1 ) = X( N - I + 1 ) 60 CONTINUE END IF IF( INCY.GT.0 )THEN DO 70 I = 1, N Z( I, 2 ) = Y( I ) 70 CONTINUE ELSE DO 80 I = 1, N Z( I, 2 ) = Y( N - I + 1 ) 80 CONTINUE END IF JA = 1 DO 90 J = 1, N W( 1 ) = Z( J, 2 ) W( 2 ) = Z( J, 1 ) IF( UPPER )THEN JJ = 1 LJ = J ELSE JJ = J LJ = N - J + 1 END IF CALL DMVCH( 'N', LJ, 2, ALPHA, Z( JJ, 1 ), $ NMAX, W, 1, ONE, A( JJ, J ), 1, $ YT, G, AA( JA ), EPS, ERR, FATAL, $ NOUT, .TRUE. ) IF( FULL )THEN IF( UPPER )THEN JA = JA + LDA ELSE JA = JA + LDA + 1 END IF ELSE JA = JA + LJ END IF ERRMAX = MAX( ERRMAX, ERR )* If got really bad answer, report and return. IF( FATAL ) $ GO TO 150 90 CONTINUE ELSE* Avoid repeating tests with N.le.0. IF( N.LE.0 ) $ GO TO 140 END IF* 100 CONTINUE* 110 CONTINUE* 120 CONTINUE* 130 CONTINUE* 140 CONTINUE** Report result.* IF( ERRMAX.LT.THRESH )THEN 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, UPLO, N, ALPHA, INCX, $ INCY, LDA ELSE IF( PACKED )THEN WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX, INCY END IF* 170 CONTINUE RETURN* 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', $ I2, ', Y,', I2, ', AP) .' ) 9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,', $ I2, ', Y,', I2, ', A,', I3, ') .' ) 9992 FORMAT( ' ******* 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 in Common .. INTEGER INFOT, NOUTC LOGICAL LERR, OK* .. Local Scalars .. DOUBLE PRECISION ALPHA, BETA* .. Local Arrays .. DOUBLE PRECISION 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. GO TO ( 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 ) GO TO 170 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 ) GO TO 170 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 ) GO TO 170 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 ) GO TO 170 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 ) GO TO 170 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 ) GO TO 170 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 ) GO TO 170 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 ) GO TO 170 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 ) GO TO 170 100 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 ) GO TO 170 110 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 ) GO TO 170 120 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 ) GO TO 170 130 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 ) GO TO 170 140 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 ) GO TO 170 150 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 ) GO TO 170 160 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 )* 170 IF( OK )THEN WRITE( NOUT, FMT = 9999 )SRNAMT ELSE WRITE( NOUT, FMT = 9998 )SRNAMT END IF RETURN* 9999 FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' ) 9998 FORMAT( ' ******* ', 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 .. DOUBLE PRECISION ZERO, ONE PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 ) DOUBLE PRECISION ROGUE PARAMETER ( ROGUE = -1.0D10 )* .. Scalar Arguments .. DOUBLE PRECISION TRANSL INTEGER KL, KU, LDA, M, N, NMAX LOGICAL RESET CHARACTER*1 DIAG, UPLO CHARACTER*2 TYPE* .. Array Arguments .. DOUBLE PRECISION A( NMAX, * ), AA( * )* .. Local Scalars .. INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, KK LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER* .. External Functions .. DOUBLE PRECISION DBEG EXTERNAL DBEG* .. Intrinsic Functions .. INTRINSIC MAX, MIN* .. Executable Statements .. GEN = TYPE( 1: 1 ).EQ.'G' SYM = TYPE( 1: 1 ).EQ.'S' TRI = TYPE( 1: 1 ).EQ.'T' UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U' LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L' UNIT = TRI.AND.DIAG.EQ.'U'** Generate data in array A.* DO 20 J = 1, N DO 10 I = 1, M IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) $ THEN IF( ( I.LE.J.AND.J - I.LE.KU ).OR. $ ( I.GE.J.AND.I - J.LE.KL ) )THEN A( I, J ) = DBEG( RESET ) + TRANSL ELSE A( I, J ) = ZERO END IF IF( I.NE.J )THEN IF( SYM )THEN A( J, I ) = A( I, J ) ELSE IF( TRI )THEN A( J, I ) = ZERO END IF END IF END IF 10 CONTINUE IF( TRI ) $ A( J, J ) = A( J, J ) + ONE IF( UNIT ) $ A( J, J ) = ONE 20 CONTINUE** Store elements in array AS in data structure required by routine.* IF( TYPE.EQ.'GE' )THEN DO 50 J = 1, N DO 30 I = 1, M AA( I + ( J - 1 )*LDA ) = A( I, J ) 30 CONTINUE DO 40 I = M + 1, LDA AA( I + ( J - 1 )*LDA ) = ROGUE 40 CONTINUE 50 CONTINUE ELSE IF( TYPE.EQ.'GB' )THEN DO 90 J = 1, N DO 60 I1 = 1, KU + 1 - J AA( I1 + ( J - 1 )*LDA ) = ROGUE 60 CONTINUE DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J ) AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J ) 70 CONTINUE DO 80 I3 = I2, LDA AA( I3 + ( J - 1 )*LDA ) = ROGUE 80 CONTINUE 90 CONTINUE ELSE IF( TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN DO 130 J = 1, N IF( UPPER )THEN IBEG = 1 IF( UNIT )THEN IEND = J - 1 ELSE IEND = J END IF ELSE IF( UNIT )THEN IBEG = J + 1 ELSE IBEG = J END IF IEND = N END IF DO 100 I = 1, IBEG - 1 AA( I + ( J - 1 )*LDA ) = ROGUE 100 CONTINUE DO 110 I = IBEG, IEND AA( I + ( J - 1 )*LDA ) = A( I, J ) 110 CONTINUE DO 120 I = IEND + 1, LDA AA( I + ( J - 1 )*LDA ) = ROGUE 120 CONTINUE 130 CONTINUE ELSE IF( TYPE.EQ.'SB'.OR.TYPE.EQ.'TB' )THEN DO 170 J = 1, N IF( UPPER )THEN KK = KL + 1 IBEG = MAX( 1, KL + 2 - J ) IF( UNIT )THEN IEND = KL ELSE IEND = KL + 1 END IF ELSE KK = 1 IF( UNIT )THEN IBEG = 2 ELSE IBEG = 1 END IF IEND = MIN( KL + 1, 1 + M - J ) END IF DO 140 I = 1, IBEG - 1 AA( I + ( J - 1 )*LDA ) = ROGUE 140 CONTINUE DO 150 I = IBEG, IEND AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J ) 150 CONTINUE DO 160 I = IEND + 1, LDA AA( I + ( J - 1 )*LDA ) = ROGUE 160 CONTINUE 170 CONTINUE ELSE IF( TYPE.EQ.'SP'.OR.TYPE.EQ.'TP' )THEN IOFF = 0 DO 190 J = 1, N IF( UPPER )THEN IBEG = 1 IEND = J ELSE IBEG = J IEND = N END IF DO 180 I = IBEG, IEND IOFF = IOFF + 1 AA( IOFF ) = A( I, J ) IF( I.EQ.J )THEN IF( UNIT ) $ AA( IOFF ) = ROGUE END IF 180 CONTINUE 190 CONTINUE END IF RETURN** End of DMAKE.* END SUBROUTINE DMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y, $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )** Checks the results of the computational tests.** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.* Jeremy Du Croz, NAG Central Office.** .. Parameters .. DOUBLE PRECISION ZERO, ONE PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )* .. Scalar Arguments .. DOUBLE PRECISION ALPHA, BETA, EPS, ERR INTEGER INCX, INCY, M, N, NMAX, NOUT LOGICAL FATAL, MV CHARACTER*1 TRANS* .. Array Arguments .. DOUBLE PRECISION A( NMAX, * ), G( * ), X( * ), Y( * ), YT( * ), $ YY( * )* .. Local Scalars .. DOUBLE PRECISION ERRI INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL LOGICAL TRAN* .. Intrinsic Functions .. INTRINSIC ABS, MAX, SQRT* .. Executable Statements .. TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' IF( TRAN )THEN ML = N NL = M ELSE ML = M NL = N END IF IF( INCX.LT.0 )THEN KX = NL INCXL = -1 ELSE KX = 1 INCXL = 1 END IF IF( INCY.LT.0 )THEN KY = ML INCYL = -1 ELSE KY = 1 INCYL = 1 END IF** Compute expected result in YT using data in A, X and Y.* Compute gauges in G.* IY = KY DO 30 I = 1, ML YT( IY ) = ZERO G( IY ) = ZERO JX = KX IF( TRAN )THEN DO 10 J = 1, NL YT( IY ) = YT( IY ) + A( J, I )*X( JX ) G( IY ) = G( IY ) + ABS( A( J, I )*X( JX ) ) JX = JX + INCXL 10 CONTINUE ELSE DO 20 J = 1, NL YT( IY ) = YT( IY ) + A( I, J )*X( JX ) G( IY ) = G( IY ) + ABS( A( I, J )*X( JX ) ) JX = JX + INCXL 20 CONTINUE END IF YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY ) G( IY ) = ABS( ALPHA )*G( IY ) + ABS( BETA*Y( IY ) ) IY = IY + INCYL 30 CONTINUE** Compute the error ratio for this result.* ERR = ZERO DO 40 I = 1, ML ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS IF( G( I ).NE.ZERO ) $ ERRI = ERRI/G( I ) ERR = MAX( ERR, ERRI ) IF( ERR*SQRT( EPS ).GE.ONE ) $ GO TO 50 40 CONTINUE* If the loop completes, all results are at least half accurate. GO TO 70** Report fatal error.* 50 FATAL = .TRUE. WRITE( NOUT, FMT = 9999 ) DO 60 I = 1, ML IF( MV )THEN WRITE( NOUT, FMT = 9998 )I, YT( I ), $ YY( 1 + ( I - 1 )*ABS( INCY ) ) ELSE WRITE( NOUT, FMT = 9998 )I, $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT( I ) END IF 60 CONTINUE* 70 CONTINUE RETURN* 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', $ 'F ACCURATE *******', /' EXPECTED RESULT COMPU', $ 'TED RESULT' ) 9998 FORMAT( 1X, I7, 2G18.6 )** End of DMVCH.* END LOGICAL FUNCTION LDE( RI, RJ, LR )** Tests if two arrays are identical.** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.* Jeremy Du Croz, NAG Central Office.** .. Scalar Arguments .. INTEGER LR* .. Array Arguments .. DOUBLE PRECISION RI( * ), RJ( * )* .. Local Scalars .. INTEGER I* .. Executable Statements .. DO 10 I = 1, LR IF( RI( I ).NE.RJ( I ) ) $ GO TO 20 10 CONTINUE LDE = .TRUE. GO TO 30 20 CONTINUE LDE = .FALSE. 30 RETURN** End of LDE.* END LOGICAL FUNCTION LDERES( TYPE, UPLO, M, N, AA, AS, LDA )** Tests if selected elements in two arrays are equal.** TYPE is 'GE', 'SY' or 'SP'.** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.* Jeremy Du Croz, NAG Central Office.** .. Scalar Arguments .. INTEGER LDA, M, N CHARACTER*1 UPLO CHARACTER*2 TYPE* .. Array Arguments .. DOUBLE PRECISION AA( LDA, * ), AS( LDA, * )* .. Local Scalars .. INTEGER I, IBEG, IEND, J LOGICAL UPPER* .. Executable Statements .. UPPER = UPLO.EQ.'U' IF( TYPE.EQ.'GE' )THEN DO 20 J = 1, N DO 10 I = M + 1, LDA IF( AA( I, J ).NE.AS( I, J ) ) $ GO TO 70 10 CONTINUE 20 CONTINUE ELSE IF( TYPE.EQ.'SY' )THEN DO 50 J = 1, N IF( UPPER )THEN IBEG = 1 IEND = J ELSE IBEG = J IEND = N END IF DO 30 I = 1, IBEG - 1 IF( AA( I, J ).NE.AS( I, J ) ) $ GO TO 70 30 CONTINUE DO 40 I = IEND + 1, LDA IF( AA( I, J ).NE.AS( I, J ) ) $ GO TO 70 40 CONTINUE 50 CONTINUE END IF* LDERES = .TRUE. GO TO 80 70 CONTINUE LDERES = .FALSE. 80 RETURN** End of LDERES.* END DOUBLE PRECISION FUNCTION DBEG( RESET )** Generates random numbers uniformly distributed between -0.5 and 0.5.** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.* Jeremy Du Croz, NAG Central Office.** .. Scalar Arguments .. LOGICAL RESET* .. Local Scalars .. INTEGER I, IC, MI* .. Save statement .. SAVE I, IC, MI* .. Intrinsic Functions .. INTRINSIC DBLE* .. Executable Statements .. IF( RESET )THEN* Initialize local variables. MI = 891 I = 7 IC = 0 RESET = .FALSE. END IF** The sequence of values of I is bounded between 1 and 999.* If initial I = 1,2,3,6,7 or 9, the period will be 50.* If initial I = 4 or 8, the period will be 25.* If initial I = 5, the period will be 10.* IC is used to break up the period by skipping 1 value of I in 6.* IC = IC + 1 10 I = I*MI I = I - 1000*( I/1000 ) IF( IC.GE.5 )THEN IC = 0 GO TO 10 END IF DBEG = DBLE( I - 500 )/1001.0D0 RETURN** End of DBEG.* END DOUBLE PRECISION FUNCTION DDIFF( X, Y )** Auxiliary routine for test program for Level 2 Blas.** -- Written on 10-August-1987.* Richard Hanson, Sandia National Labs.** .. Scalar Arguments .. DOUBLE PRECISION X, Y* .. Executable Statements .. DDIFF = X - Y RETURN** End of DDIFF.* END 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. END IF LERR = .FALSE. RETURN* 9999 FORMAT( ' ***** 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 in Common .. 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 END IF OK = .FALSE. END IF IF( SRNAME.NE.SRNAMT )THEN WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT OK = .FALSE. END IF RETURN* 9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', $ ' OF ', I2, ' *******' ) 9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', $ 'AD OF ', A6, ' *******' ) 9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, $ ' *******' )** End of XERBLA* END
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