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sblat2.f
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*> \brief \b SBLAT2
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* PROGRAM SBLAT2
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> 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.out' 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.
*>
*> 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 single_blas_testing
*
* =====================================================================
PROGRAM SBLAT2
*
* -- Reference BLAS test routine (version 3.7.0) --
* -- 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 )
REAL ZERO, ONE
PARAMETER ( ZERO = 0.0, 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 = '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 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