Squashed 'third_party/eigen/' content from commit 61d72f6
Change-Id: Iccc90fa0b55ab44037f018046d2fcffd90d9d025
git-subtree-dir: third_party/eigen
git-subtree-split: 61d72f6383cfa842868c53e30e087b0258177257
diff --git a/blas/testing/sblat2.f b/blas/testing/sblat2.f
new file mode 100644
index 0000000..057a854
--- /dev/null
+++ b/blas/testing/sblat2.f
@@ -0,0 +1,3138 @@
+ PROGRAM SBLAT2
+*
+* Test program for the REAL 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:
+* 'SBLAT2.SUMM' NAME OF SUMMARY OUTPUT FILE
+* 6 UNIT NUMBER OF SUMMARY FILE
+* 'SBLAT2.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 BETA
+* SGEMV T PUT F FOR NO TEST. SAME COLUMNS.
+* SGBMV T PUT F FOR NO TEST. SAME COLUMNS.
+* SSYMV T PUT F FOR NO TEST. SAME COLUMNS.
+* SSBMV T PUT F FOR NO TEST. SAME COLUMNS.
+* SSPMV T PUT F FOR NO TEST. SAME COLUMNS.
+* STRMV T PUT F FOR NO TEST. SAME COLUMNS.
+* STBMV T PUT F FOR NO TEST. SAME COLUMNS.
+* STPMV T PUT F FOR NO TEST. SAME COLUMNS.
+* STRSV T PUT F FOR NO TEST. SAME COLUMNS.
+* STBSV T PUT F FOR NO TEST. SAME COLUMNS.
+* STPSV T PUT F FOR NO TEST. SAME COLUMNS.
+* SGER T PUT F FOR NO TEST. SAME COLUMNS.
+* SSYR T PUT F FOR NO TEST. SAME COLUMNS.
+* SSPR T PUT F FOR NO TEST. SAME COLUMNS.
+* SSYR2 T PUT F FOR NO TEST. SAME COLUMNS.
+* SSPR2 T PUT F FOR NO TEST. SAME COLUMNS.
+*
+* See:
+*
+* Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J..
+* An extended set of Fortran Basic Linear Algebra Subprograms.
+*
+* Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics
+* and Computer Science Division, Argonne National Laboratory,
+* 9700 South Cass Avenue, Argonne, Illinois 60439, US.
+*
+* Or
+*
+* NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms
+* Group Ltd., NAG Central Office, 256 Banbury Road, Oxford
+* OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st
+* Street, Suite 100, Downers Grove, Illinois 60515-1263, USA.
+*
+*
+* -- Written on 10-August-1987.
+* Richard Hanson, Sandia National Labs.
+* Jeremy Du Croz, NAG Central Office.
+*
+* .. Parameters ..
+ INTEGER NIN
+ PARAMETER ( NIN = 5 )
+ INTEGER NSUBS
+ PARAMETER ( NSUBS = 16 )
+ REAL ZERO, HALF, ONE
+ PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
+ 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 ..
+ REAL 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 ..
+ REAL 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 ..
+ REAL SDIFF
+ LOGICAL LSE
+ EXTERNAL SDIFF, LSE
+* .. External Subroutines ..
+ EXTERNAL SCHK1, SCHK2, SCHK3, SCHK4, SCHK5, SCHK6,
+ $ SCHKE, SMVCH
+* .. 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/'SGEMV ', 'SGBMV ', 'SSYMV ', 'SSBMV ',
+ $ 'SSPMV ', 'STRMV ', 'STBMV ', 'STPMV ',
+ $ 'STRSV ', 'STBSV ', 'STPSV ', 'SGER ',
+ $ 'SSYR ', 'SSPR ', 'SSYR2 ', 'SSPR2 '/
+* .. 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 = 'NEW' )
+ NOUTC = NOUT
+*
+* Read name and unit number for snapshot output file and open file.
+*
+ READ( NIN, FMT = * )SNAPS
+ READ( NIN, FMT = * )NTRA
+ TRACE = NTRA.GE.0
+ IF( TRACE )THEN
+ OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' )
+ END IF
+* Read the flag that directs rewinding of the snapshot file.
+ READ( NIN, FMT = * )REWI
+ REWI = REWI.AND.TRACE
+* Read the flag that directs stopping on any failure.
+ READ( NIN, FMT = * )SFATAL
+* Read the flag that indicates whether error exits are to be tested.
+ READ( NIN, FMT = * )TSTERR
+* Read the 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 = ONE
+ 90 CONTINUE
+ IF( SDIFF( ONE + EPS, ONE ).EQ.ZERO )
+ $ GO TO 100
+ EPS = HALF*EPS
+ GO TO 90
+ 100 CONTINUE
+ EPS = EPS + EPS
+ WRITE( NOUT, FMT = 9998 )EPS
+*
+* Check the reliability of SMVCH 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 SMVCH YT holds
+* the result computed by SMVCH.
+ TRANS = 'N'
+ CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
+ $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
+ SAME = LSE( YY, YT, N )
+ IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
+ WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
+ STOP
+ END IF
+ TRANS = 'T'
+ CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
+ $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
+ SAME = LSE( 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 SCHKE( 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 SGEMV, 01, and SGBMV, 02.
+ 140 CALL SCHK1( 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 SSYMV, 03, SSBMV, 04, and SSPMV, 05.
+ 150 CALL SCHK2( 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 STRMV, 06, STBMV, 07, STPMV, 08,
+* STRSV, 09, STBSV, 10, and STPSV, 11.
+ 160 CALL SCHK3( 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 SGER, 12.
+ 170 CALL SCHK4( 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 SSYR, 13, and SSPR, 14.
+ 180 CALL SCHK5( 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 SSYR2, 15, and SSPR2, 16.
+ 190 CALL SCHK6( 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, E9.1 )
+ 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
+ $ 'THAN ', I2 )
+ 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
+ 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' )
+ 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
+ $ I2 )
+ 9993 FORMAT( ' TESTS OF THE REAL 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 SMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
+ $ 'ATED WRONGLY.', /' SMVCH 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 SBLAT2.
+*
+ END
+ SUBROUTINE SCHK1( 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 SGEMV and SGBMV.
+*
+* 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 ..
+ REAL ZERO, HALF
+ PARAMETER ( ZERO = 0.0, HALF = 0.5 )
+* .. Scalar Arguments ..
+ REAL EPS, THRESH
+ INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
+ $ NOUT, NTRA
+ LOGICAL FATAL, REWI, TRACE
+ CHARACTER*6 SNAME
+* .. Array Arguments ..
+ REAL 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 ..
+ REAL 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 LSE, LSERES
+ EXTERNAL LSE, LSERES
+* .. External Subroutines ..
+ EXTERNAL SGBMV, SGEMV, SMAKE, SMVCH
+* .. 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 SMAKE( 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 SMAKE( '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 SMAKE( '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 SGEMV( 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 SGBMV( 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 ) = LSE( AS, AA, LAA )
+ ISAME( 6 ) = LDAS.EQ.LDA
+ ISAME( 7 ) = LSE( XS, XX, LX )
+ ISAME( 8 ) = INCXS.EQ.INCX
+ ISAME( 9 ) = BLS.EQ.BETA
+ IF( NULL )THEN
+ ISAME( 10 ) = LSE( YS, YY, LY )
+ ELSE
+ ISAME( 10 ) = LSERES( '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 ) = LSE( AS, AA, LAA )
+ ISAME( 8 ) = LDAS.EQ.LDA
+ ISAME( 9 ) = LSE( XS, XX, LX )
+ ISAME( 10 ) = INCXS.EQ.INCX
+ ISAME( 11 ) = BLS.EQ.BETA
+ IF( NULL )THEN
+ ISAME( 12 ) = LSE( YS, YY, LY )
+ ELSE
+ ISAME( 12 ) = LSERES( '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 SMVCH( 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 SCHK1.
+*
+ END
+ SUBROUTINE SCHK2( 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 SSYMV, SSBMV and SSPMV.
+*
+* 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 ..
+ REAL ZERO, HALF
+ PARAMETER ( ZERO = 0.0, HALF = 0.5 )
+* .. Scalar Arguments ..
+ REAL EPS, THRESH
+ INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
+ $ NOUT, NTRA
+ LOGICAL FATAL, REWI, TRACE
+ CHARACTER*6 SNAME
+* .. Array Arguments ..
+ REAL 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 ..
+ REAL 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 LSE, LSERES
+ EXTERNAL LSE, LSERES
+* .. External Subroutines ..
+ EXTERNAL SMAKE, SMVCH, SSBMV, SSPMV, SSYMV
+* .. 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 SMAKE( 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 SMAKE( '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 SMAKE( '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 SSYMV( 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 SSBMV( 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 SSPMV( 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 ) = LSE( AS, AA, LAA )
+ ISAME( 5 ) = LDAS.EQ.LDA
+ ISAME( 6 ) = LSE( XS, XX, LX )
+ ISAME( 7 ) = INCXS.EQ.INCX
+ ISAME( 8 ) = BLS.EQ.BETA
+ IF( NULL )THEN
+ ISAME( 9 ) = LSE( YS, YY, LY )
+ ELSE
+ ISAME( 9 ) = LSERES( '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 ) = LSE( AS, AA, LAA )
+ ISAME( 6 ) = LDAS.EQ.LDA
+ ISAME( 7 ) = LSE( XS, XX, LX )
+ ISAME( 8 ) = INCXS.EQ.INCX
+ ISAME( 9 ) = BLS.EQ.BETA
+ IF( NULL )THEN
+ ISAME( 10 ) = LSE( YS, YY, LY )
+ ELSE
+ ISAME( 10 ) = LSERES( '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 ) = LSE( AS, AA, LAA )
+ ISAME( 5 ) = LSE( XS, XX, LX )
+ ISAME( 6 ) = INCXS.EQ.INCX
+ ISAME( 7 ) = BLS.EQ.BETA
+ IF( NULL )THEN
+ ISAME( 8 ) = LSE( YS, YY, LY )
+ ELSE
+ ISAME( 8 ) = LSERES( '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 SMVCH( '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 SCHK2.
+*
+ END
+ SUBROUTINE SCHK3( 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 STRMV, STBMV, STPMV, STRSV, STBSV and STPSV.
+*
+* 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 ..
+ REAL ZERO, HALF, ONE
+ PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
+* .. Scalar Arguments ..
+ REAL EPS, THRESH
+ INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA
+ LOGICAL FATAL, REWI, TRACE
+ CHARACTER*6 SNAME
+* .. Array Arguments ..
+ REAL 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 ..
+ REAL 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 LSE, LSERES
+ EXTERNAL LSE, LSERES
+* .. External Subroutines ..
+ EXTERNAL SMAKE, SMVCH, STBMV, STBSV, STPMV, STPSV,
+ $ STRMV, STRSV
+* .. 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 SMVCH.
+ 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 SMAKE( 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 SMAKE( '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 STRMV( 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 STBMV( 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 STPMV( 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 STRSV( 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 STBSV( 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 STPSV( 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 ) = LSE( AS, AA, LAA )
+ ISAME( 6 ) = LDAS.EQ.LDA
+ IF( NULL )THEN
+ ISAME( 7 ) = LSE( XS, XX, LX )
+ ELSE
+ ISAME( 7 ) = LSERES( '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 ) = LSE( AS, AA, LAA )
+ ISAME( 7 ) = LDAS.EQ.LDA
+ IF( NULL )THEN
+ ISAME( 8 ) = LSE( XS, XX, LX )
+ ELSE
+ ISAME( 8 ) = LSERES( 'GE', ' ', 1, N, XS,
+ $ XX, ABS( INCX ) )
+ END IF
+ ISAME( 9 ) = INCXS.EQ.INCX
+ ELSE IF( PACKED )THEN
+ ISAME( 5 ) = LSE( AS, AA, LAA )
+ IF( NULL )THEN
+ ISAME( 6 ) = LSE( XS, XX, LX )
+ ELSE
+ ISAME( 6 ) = LSERES( '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 SMVCH( 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 SMVCH( 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 SCHK3.
+*
+ END
+ SUBROUTINE SCHK4( 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 SGER.
+*
+* 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 ..
+ REAL ZERO, HALF, ONE
+ PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
+* .. Scalar Arguments ..
+ REAL EPS, THRESH
+ INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
+ LOGICAL FATAL, REWI, TRACE
+ CHARACTER*6 SNAME
+* .. Array Arguments ..
+ REAL 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 ..
+ REAL 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 ..
+ REAL W( 1 )
+ LOGICAL ISAME( 13 )
+* .. External Functions ..
+ LOGICAL LSE, LSERES
+ EXTERNAL LSE, LSERES
+* .. External Subroutines ..
+ EXTERNAL SGER, SMAKE, SMVCH
+* .. 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 SMAKE( '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 SMAKE( '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 SMAKE( 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 SGER( 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 ) = LSE( XS, XX, LX )
+ ISAME( 5 ) = INCXS.EQ.INCX
+ ISAME( 6 ) = LSE( YS, YY, LY )
+ ISAME( 7 ) = INCYS.EQ.INCY
+ IF( NULL )THEN
+ ISAME( 8 ) = LSE( AS, AA, LAA )
+ ELSE
+ ISAME( 8 ) = LSERES( '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 SMVCH( '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 SCHK4.
+*
+ END
+ SUBROUTINE SCHK5( 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 SSYR and SSPR.
+*
+* 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 ..
+ REAL ZERO, HALF, ONE
+ PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
+* .. Scalar Arguments ..
+ REAL EPS, THRESH
+ INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
+ LOGICAL FATAL, REWI, TRACE
+ CHARACTER*6 SNAME
+* .. Array Arguments ..
+ REAL 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 ..
+ REAL 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 ..
+ REAL W( 1 )
+ LOGICAL ISAME( 13 )
+* .. External Functions ..
+ LOGICAL LSE, LSERES
+ EXTERNAL LSE, LSERES
+* .. External Subroutines ..
+ EXTERNAL SMAKE, SMVCH, SSPR, SSYR
+* .. 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 SMAKE( '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 SMAKE( 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 SSYR( 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 SSPR( 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 ) = LSE( XS, XX, LX )
+ ISAME( 5 ) = INCXS.EQ.INCX
+ IF( NULL )THEN
+ ISAME( 6 ) = LSE( AS, AA, LAA )
+ ELSE
+ ISAME( 6 ) = LSERES( 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 SMVCH( '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 SCHK5.
+*
+ END
+ SUBROUTINE SCHK6( 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 SSYR2 and SSPR2.
+*
+* 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 ..
+ REAL ZERO, HALF, ONE
+ PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
+* .. Scalar Arguments ..
+ REAL EPS, THRESH
+ INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
+ LOGICAL FATAL, REWI, TRACE
+ CHARACTER*6 SNAME
+* .. Array Arguments ..
+ REAL 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 ..
+ REAL 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 ..
+ REAL W( 2 )
+ LOGICAL ISAME( 13 )
+* .. External Functions ..
+ LOGICAL LSE, LSERES
+ EXTERNAL LSE, LSERES
+* .. External Subroutines ..
+ EXTERNAL SMAKE, SMVCH, SSPR2, SSYR2
+* .. 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 SMAKE( '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 SMAKE( '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 SMAKE( 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 SSYR2( 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 SSPR2( 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 ) = LSE( XS, XX, LX )
+ ISAME( 5 ) = INCXS.EQ.INCX
+ ISAME( 6 ) = LSE( YS, YY, LY )
+ ISAME( 7 ) = INCYS.EQ.INCY
+ IF( NULL )THEN
+ ISAME( 8 ) = LSE( AS, AA, LAA )
+ ELSE
+ ISAME( 8 ) = LSERES( 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 SMVCH( '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 SCHK6.
+*
+ END
+ SUBROUTINE SCHKE( 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 ..
+ REAL ALPHA, BETA
+* .. Local Arrays ..
+ REAL A( 1, 1 ), X( 1 ), Y( 1 )
+* .. External Subroutines ..
+ EXTERNAL CHKXER, SGBMV, SGEMV, SGER, SSBMV, SSPMV, SSPR,
+ $ SSPR2, SSYMV, SSYR, SSYR2, STBMV, STBSV, STPMV,
+ $ STPSV, STRMV, STRSV
+* .. 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 SGEMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL SGEMV( 'N', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 3
+ CALL SGEMV( 'N', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 6
+ CALL SGEMV( 'N', 2, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 8
+ CALL SGEMV( 'N', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 11
+ CALL SGEMV( '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 SGBMV( '/', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL SGBMV( 'N', -1, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 3
+ CALL SGBMV( 'N', 0, -1, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 4
+ CALL SGBMV( 'N', 0, 0, -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 5
+ CALL SGBMV( 'N', 2, 0, 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 8
+ CALL SGBMV( 'N', 0, 0, 1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 10
+ CALL SGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 13
+ CALL SGBMV( '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 SSYMV( '/', 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL SSYMV( 'U', -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 5
+ CALL SSYMV( 'U', 2, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 7
+ CALL SSYMV( 'U', 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 10
+ CALL SSYMV( 'U', 0, ALPHA, A, 1, X, 1, BETA, Y, 0 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 40 INFOT = 1
+ CALL SSBMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL SSBMV( 'U', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 3
+ CALL SSBMV( 'U', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 6
+ CALL SSBMV( 'U', 0, 1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 8
+ CALL SSBMV( 'U', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 11
+ CALL SSBMV( '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 SSPMV( '/', 0, ALPHA, A, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL SSPMV( 'U', -1, ALPHA, A, X, 1, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 6
+ CALL SSPMV( 'U', 0, ALPHA, A, X, 0, BETA, Y, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 9
+ CALL SSPMV( 'U', 0, ALPHA, A, X, 1, BETA, Y, 0 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 60 INFOT = 1
+ CALL STRMV( '/', 'N', 'N', 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL STRMV( 'U', '/', 'N', 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 3
+ CALL STRMV( 'U', 'N', '/', 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 4
+ CALL STRMV( 'U', 'N', 'N', -1, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 6
+ CALL STRMV( 'U', 'N', 'N', 2, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 8
+ CALL STRMV( 'U', 'N', 'N', 0, A, 1, X, 0 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 70 INFOT = 1
+ CALL STBMV( '/', 'N', 'N', 0, 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL STBMV( 'U', '/', 'N', 0, 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 3
+ CALL STBMV( 'U', 'N', '/', 0, 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 4
+ CALL STBMV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 5
+ CALL STBMV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 7
+ CALL STBMV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 9
+ CALL STBMV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 80 INFOT = 1
+ CALL STPMV( '/', 'N', 'N', 0, A, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL STPMV( 'U', '/', 'N', 0, A, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 3
+ CALL STPMV( 'U', 'N', '/', 0, A, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 4
+ CALL STPMV( 'U', 'N', 'N', -1, A, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 7
+ CALL STPMV( 'U', 'N', 'N', 0, A, X, 0 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 90 INFOT = 1
+ CALL STRSV( '/', 'N', 'N', 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL STRSV( 'U', '/', 'N', 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 3
+ CALL STRSV( 'U', 'N', '/', 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 4
+ CALL STRSV( 'U', 'N', 'N', -1, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 6
+ CALL STRSV( 'U', 'N', 'N', 2, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 8
+ CALL STRSV( 'U', 'N', 'N', 0, A, 1, X, 0 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 100 INFOT = 1
+ CALL STBSV( '/', 'N', 'N', 0, 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL STBSV( 'U', '/', 'N', 0, 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 3
+ CALL STBSV( 'U', 'N', '/', 0, 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 4
+ CALL STBSV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 5
+ CALL STBSV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 7
+ CALL STBSV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 9
+ CALL STBSV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 110 INFOT = 1
+ CALL STPSV( '/', 'N', 'N', 0, A, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL STPSV( 'U', '/', 'N', 0, A, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 3
+ CALL STPSV( 'U', 'N', '/', 0, A, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 4
+ CALL STPSV( 'U', 'N', 'N', -1, A, X, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 7
+ CALL STPSV( 'U', 'N', 'N', 0, A, X, 0 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 120 INFOT = 1
+ CALL SGER( -1, 0, ALPHA, X, 1, Y, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL SGER( 0, -1, ALPHA, X, 1, Y, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 5
+ CALL SGER( 0, 0, ALPHA, X, 0, Y, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 7
+ CALL SGER( 0, 0, ALPHA, X, 1, Y, 0, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 9
+ CALL SGER( 2, 0, ALPHA, X, 1, Y, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 130 INFOT = 1
+ CALL SSYR( '/', 0, ALPHA, X, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL SSYR( 'U', -1, ALPHA, X, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 5
+ CALL SSYR( 'U', 0, ALPHA, X, 0, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 7
+ CALL SSYR( 'U', 2, ALPHA, X, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 140 INFOT = 1
+ CALL SSPR( '/', 0, ALPHA, X, 1, A )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL SSPR( 'U', -1, ALPHA, X, 1, A )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 5
+ CALL SSPR( 'U', 0, ALPHA, X, 0, A )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 150 INFOT = 1
+ CALL SSYR2( '/', 0, ALPHA, X, 1, Y, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL SSYR2( 'U', -1, ALPHA, X, 1, Y, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 5
+ CALL SSYR2( 'U', 0, ALPHA, X, 0, Y, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 7
+ CALL SSYR2( 'U', 0, ALPHA, X, 1, Y, 0, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 9
+ CALL SSYR2( 'U', 2, ALPHA, X, 1, Y, 1, A, 1 )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ GO TO 170
+ 160 INFOT = 1
+ CALL SSPR2( '/', 0, ALPHA, X, 1, Y, 1, A )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 2
+ CALL SSPR2( 'U', -1, ALPHA, X, 1, Y, 1, A )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 5
+ CALL SSPR2( 'U', 0, ALPHA, X, 0, Y, 1, A )
+ CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
+ INFOT = 7
+ CALL SSPR2( '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 SCHKE.
+*
+ END
+ SUBROUTINE SMAKE( 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 ..
+ REAL ZERO, ONE
+ PARAMETER ( ZERO = 0.0, ONE = 1.0 )
+ REAL ROGUE
+ PARAMETER ( ROGUE = -1.0E10 )
+* .. Scalar Arguments ..
+ REAL TRANSL
+ INTEGER KL, KU, LDA, M, N, NMAX
+ LOGICAL RESET
+ CHARACTER*1 DIAG, UPLO
+ CHARACTER*2 TYPE
+* .. Array Arguments ..
+ REAL A( NMAX, * ), AA( * )
+* .. Local Scalars ..
+ INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, KK
+ LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
+* .. External Functions ..
+ REAL SBEG
+ EXTERNAL SBEG
+* .. 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 ) = SBEG( 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 SMAKE.
+*
+ END
+ SUBROUTINE SMVCH( 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 ..
+ REAL ZERO, ONE
+ PARAMETER ( ZERO = 0.0, ONE = 1.0 )
+* .. Scalar Arguments ..
+ REAL ALPHA, BETA, EPS, ERR
+ INTEGER INCX, INCY, M, N, NMAX, NOUT
+ LOGICAL FATAL, MV
+ CHARACTER*1 TRANS
+* .. Array Arguments ..
+ REAL A( NMAX, * ), G( * ), X( * ), Y( * ), YT( * ),
+ $ YY( * )
+* .. Local Scalars ..
+ REAL 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 SMVCH.
+*
+ END
+ LOGICAL FUNCTION LSE( 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 ..
+ REAL RI( * ), RJ( * )
+* .. Local Scalars ..
+ INTEGER I
+* .. Executable Statements ..
+ DO 10 I = 1, LR
+ IF( RI( I ).NE.RJ( I ) )
+ $ GO TO 20
+ 10 CONTINUE
+ LSE = .TRUE.
+ GO TO 30
+ 20 CONTINUE
+ LSE = .FALSE.
+ 30 RETURN
+*
+* End of LSE.
+*
+ END
+ LOGICAL FUNCTION LSERES( 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 ..
+ REAL AA( LDA, * ), AS( LDA, * )
+* .. Local Scalars ..
+ INTEGER I, IBEG, IEND, J
+ LOGICAL UPPER
+* .. Executable Statements ..
+ UPPER = UPLO.EQ.'U'
+ IF( TYPE.EQ.'GE' )THEN
+ DO 20 J = 1, N
+ DO 10 I = M + 1, LDA
+ IF( AA( I, J ).NE.AS( I, J ) )
+ $ GO TO 70
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE IF( TYPE.EQ.'SY' )THEN
+ DO 50 J = 1, N
+ IF( UPPER )THEN
+ IBEG = 1
+ IEND = J
+ ELSE
+ IBEG = J
+ IEND = N
+ END IF
+ DO 30 I = 1, IBEG - 1
+ IF( AA( I, J ).NE.AS( I, J ) )
+ $ GO TO 70
+ 30 CONTINUE
+ DO 40 I = IEND + 1, LDA
+ IF( AA( I, J ).NE.AS( I, J ) )
+ $ GO TO 70
+ 40 CONTINUE
+ 50 CONTINUE
+ END IF
+*
+ 60 CONTINUE
+ LSERES = .TRUE.
+ GO TO 80
+ 70 CONTINUE
+ LSERES = .FALSE.
+ 80 RETURN
+*
+* End of LSERES.
+*
+ END
+ REAL FUNCTION SBEG( 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 REAL
+* .. 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
+ SBEG = REAL( I - 500 )/1001.0
+ RETURN
+*
+* End of SBEG.
+*
+ END
+ REAL FUNCTION SDIFF( X, Y )
+*
+* Auxiliary routine for test program for Level 2 Blas.
+*
+* -- Written on 10-August-1987.
+* Richard Hanson, Sandia National Labs.
+*
+* .. Scalar Arguments ..
+ REAL X, Y
+* .. Executable Statements ..
+ SDIFF = X - Y
+ RETURN
+*
+* End of SDIFF.
+*
+ 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
+