*> \brief \b DBLAT2
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
*
http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
*
PROGRAM DBLAT2
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> Test
program for the
DOUBLE PRECISION Level 2 Blas.
*>
*> The
program must be driven by a short
data file. The first 18 records
*> of the
file are
read using list-directed input, the last 16 records
*> are
read using the
format ( A6, L2 ). An annotated example of a
data
*>
file can be obtained by deleting the first 3 characters from the
*> following 34 lines:
*>
'dblat2.out' NAME OF SUMMARY OUTPUT
FILE
*> 6
UNIT NUMBER OF SUMMARY
FILE
*>
'DBLAT2.SNAP' NAME OF SNAPSHOT OUTPUT
FILE
*> -1
UNIT NUMBER OF SNAPSHOT
FILE (NOT USED
IF .LT. 0)
*> F
LOGICAL FLAG, T
TO REWIND SNAPSHOT
FILE AFTER EACH RECORD.
*> F
LOGICAL FLAG, T
TO STOP ON FAILURES.
*> T
LOGICAL FLAG, T
TO TEST ERROR EXITS.
*> 16.0 THRESHOLD VALUE OF TEST RATIO
*> 6
NUMBER OF VALUES OF N
*> 0 1 2 3 5 9 VALUES OF N
*> 4
NUMBER OF VALUES OF K
*> 0 1 2 4 VALUES OF K
*> 4
NUMBER OF VALUES OF INCX AND INCY
*> 1 2 -1 -2 VALUES OF INCX AND INCY
*> 3
NUMBER OF VALUES OF ALPHA
*> 0.0 1.0 0.7 VALUES OF ALPHA
*> 3
NUMBER OF VALUES OF BETA
*> 0.0 1.0 0.9 VALUES OF BETAC
*> DGEMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DGBMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DSYMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DSBMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DSPMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTRMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTBMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTPMV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTRSV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTBSV T PUT F FOR NO TEST. SAME COLUMNS.
*> DTPSV T PUT F FOR NO TEST. SAME COLUMNS.
*> DGER T PUT F FOR NO TEST. SAME COLUMNS.
*> DSYR T PUT F FOR NO TEST. SAME COLUMNS.
*> DSPR T PUT F FOR NO TEST. SAME COLUMNS.
*> DSYR2 T PUT F FOR NO TEST. SAME COLUMNS.
*> DSPR2 T PUT F FOR NO TEST. SAME COLUMNS.
*>
*> Further Details
*> ===============
*>
*> See:
*>
*> Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J..
*> An extended set of Fortran Basic Linear Algebra Subprograms.
*>
*> Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics
*> and Computer Science Division, Argonne National Laboratory,
*> 9700 South Cass Avenue, Argonne, Illinois 60439, US.
*>
*> Or
*>
*> NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms
*> Group Ltd., NAG Central Office, 256 Banbury Road, Oxford
*> OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st
*> Street, Suite 100, Downers Grove, Illinois 60515-1263, USA.
*>
*>
*> -- Written on 10-August-1987.
*> Richard Hanson, Sandia National Labs.
*> Jeremy Du Croz, NAG Central Office.
*>
*> 10-9-00: Change
STATUS=
'NEW' to 'UNKNOWN' so that the testers
*> can be run multiple times without deleting generated
*> output files (susan)
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date April 2012
*
*> \ingroup double_blas_testing
*
* =====================================================================
PROGRAM DBLAT2
*
* -- Reference BLAS test routine (version 3.4.1) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* April 2012
*
* =====================================================================
*
* .. Parameters ..
INTEGER NIN
PARAMETER ( NIN = 5 )
INTEGER NSUBS
PARAMETER ( NSUBS = 16 )
DOUBLE PRECISION ZERO, ONE
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
INTEGER NMAX, INCMAX
PARAMETER ( NMAX = 65, INCMAX = 2 )
INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
$ NALMAX = 7, NBEMAX = 7 )
* .. Local Scalars ..
DOUBLE PRECISION EPS,
ERR, THRESH
INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
$ NOUT, NTRA
LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
$ TSTERR
CHARACTER*1 TRANS
CHARACTER*6 SNAMET
CHARACTER*32 SNAPS, SUMMRY
* .. Local Arrays ..
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ),
$ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
$ G( NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( 2*NMAX )
INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
LOGICAL LTEST( NSUBS )
CHARACTER*6 SNAMES( NSUBS )
* ..
External Functions ..
DOUBLE PRECISION DDIFF
LOGICAL LDE
EXTERNAL DDIFF, LDE
* ..
External Subroutines ..
EXTERNAL DCHK1, DCHK2, DCHK3, DCHK4, DCHK5, DCHK6,
$ DCHKE, DMVCH
* ..
Intrinsic Functions ..
INTRINSIC ABS, MAX, MIN
* .. Scalars
in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
CHARACTER*6 SRNAMT
* ..
Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
COMMON /SRNAMC/SRNAMT
* ..
Data statements ..
DATA SNAMES/
'DGEMV ',
'DGBMV ',
'DSYMV ',
'DSBMV ',
$
'DSPMV ',
'DTRMV ',
'DTBMV ',
'DTPMV ',
$
'DTRSV ',
'DTBSV ',
'DTPSV ',
'DGER ',
$
'DSYR ',
'DSPR ',
'DSYR2 ',
'DSPR2 '/
* .. Executable Statements ..
*
*
Read name and
unit number for summary output
file and
open file.
*
READ( NIN,
FMT = * )SUMMRY
READ( NIN,
FMT = * )NOUT
OPEN( NOUT,
FILE = SUMMRY,
STATUS =
'UNKNOWN' )
NOUTC = NOUT
*
*
Read name and
unit number for snapshot output
file and
open file.
*
READ( NIN,
FMT = * )SNAPS
READ( NIN,
FMT = * )NTRA
TRACE = NTRA.GE.0
IF( TRACE )
THEN
OPEN( NTRA,
FILE = SNAPS,
STATUS =
'UNKNOWN' )
END IF
*
Read the flag that directs rewinding of the snapshot
file.
READ( NIN,
FMT = * )REWI
REWI = REWI.AND.TRACE
*
Read the flag that directs stopping on any failure.
READ( NIN,
FMT = * )SFATAL
*
Read the flag that indicates whether error exits are
to be tested.
READ( NIN,
FMT = * )TSTERR
*
Read the threshold value of the test ratio
READ( NIN,
FMT = * )THRESH
*
*
Read and check the
parameter values for the tests.
*
* Values of N
READ( NIN,
FMT = * )NIDIM
IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )
THEN
WRITE( NOUT,
FMT = 9997 )
'N', NIDMAX
GO TO 230
END IF
READ( NIN,
FMT = * )( IDIM( I ), I = 1, NIDIM )
DO 10 I = 1, NIDIM
IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )
THEN
WRITE( NOUT,
FMT = 9996 )NMAX
GO TO 230
END IF
10
CONTINUE
* Values of K
READ( NIN,
FMT = * )NKB
IF( NKB.LT.1.OR.NKB.GT.NKBMAX )
THEN
WRITE( NOUT,
FMT = 9997 )
'K', NKBMAX
GO TO 230
END IF
READ( NIN,
FMT = * )( KB( I ), I = 1, NKB )
DO 20 I = 1, NKB
IF( KB( I ).LT.0 )
THEN
WRITE( NOUT,
FMT = 9995 )
GO TO 230
END IF
20
CONTINUE
* Values of INCX and INCY
READ( NIN,
FMT = * )NINC
IF( NINC.LT.1.OR.NINC.GT.NINMAX )
THEN
WRITE( NOUT,
FMT = 9997 )
'INCX AND INCY', NINMAX
GO TO 230
END IF
READ( NIN,
FMT = * )( INC( I ), I = 1, NINC )
DO 30 I = 1, NINC
IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )
THEN
WRITE( NOUT,
FMT = 9994 )INCMAX
GO TO 230
END IF
30
CONTINUE
* Values of ALPHA
READ( NIN,
FMT = * )NALF
IF( NALF.LT.1.OR.NALF.GT.NALMAX )
THEN
WRITE( NOUT,
FMT = 9997 )
'ALPHA', NALMAX
GO TO 230
END IF
READ( NIN,
FMT = * )( ALF( I ), I = 1, NALF )
* Values of BETA
READ( NIN,
FMT = * )NBET
IF( NBET.LT.1.OR.NBET.GT.NBEMAX )
THEN
WRITE( NOUT,
FMT = 9997 )
'BETA', NBEMAX
GO TO 230
END IF
READ( NIN,
FMT = * )( BET( I ), I = 1, NBET )
*
* Report values of parameters.
*
WRITE( NOUT,
FMT = 9993 )
WRITE( NOUT,
FMT = 9992 )( IDIM( I ), I = 1, NIDIM )
WRITE( NOUT,
FMT = 9991 )( KB( I ), I = 1, NKB )
WRITE( NOUT,
FMT = 9990 )( INC( I ), I = 1, NINC )
WRITE( NOUT,
FMT = 9989 )( ALF( I ), I = 1, NALF )
WRITE( NOUT,
FMT = 9988 )( BET( I ), I = 1, NBET )
IF( .NOT.TSTERR )
THEN
WRITE( NOUT,
FMT = * )
WRITE( NOUT,
FMT = 9980 )
END IF
WRITE( NOUT,
FMT = * )
WRITE( NOUT,
FMT = 9999 )THRESH
WRITE( NOUT,
FMT = * )
*
*
Read names of subroutines and flags which indicate
* whether they are
to be tested.
*
DO 40 I = 1, NSUBS
LTEST( I ) = .
FALSE.
40
CONTINUE
50
READ( NIN,
FMT = 9984,
END = 80 )SNAMET, LTESTT
DO 60 I = 1, NSUBS
IF( SNAMET.EQ.SNAMES( I ) )
$
GO TO 70
60
CONTINUE
WRITE( NOUT,
FMT = 9986 )SNAMET
STOP
70 LTEST( I ) = LTESTT
GO TO 50
*
80
CONTINUE
CLOSE ( NIN )
*
* Compute EPS (the machine
precision).
*
EPS = EPSILON(ZERO)
WRITE( NOUT,
FMT = 9998 )EPS
*
* Check the reliability of DMVCH using exact
data.
*
N = MIN( 32, NMAX )
DO 120 J = 1, N
DO 110 I = 1, N
A( I, J ) = MAX( I - J + 1, 0 )
110
CONTINUE
X( J ) = J
Y( J ) = ZERO
120
CONTINUE
DO 130 J = 1, N
YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
130
CONTINUE
* YY holds the exact result. On
exit from DMVCH YT holds
* the result computed by DMVCH.
TRANS =
'N'
CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
$ YY, EPS,
ERR, FATAL, NOUT, .
TRUE. )
SAME = LDE( YY, YT, N )
IF( .NOT.SAME.OR.
ERR.NE.ZERO )
THEN
WRITE( NOUT,
FMT = 9985 )TRANS, SAME,
ERR
STOP
END IF
TRANS =
'T'
CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
$ YY, EPS,
ERR, FATAL, NOUT, .
TRUE. )
SAME = LDE( YY, YT, N )
IF( .NOT.SAME.OR.
ERR.NE.ZERO )
THEN
WRITE( NOUT,
FMT = 9985 )TRANS, SAME,
ERR
STOP
END IF
*
* Test each
subroutine in turn.
*
DO 210 ISNUM = 1, NSUBS
WRITE( NOUT,
FMT = * )
IF( .NOT.LTEST( ISNUM ) )
THEN
* Subprogram is not
to be tested.
WRITE( NOUT,
FMT = 9983 )SNAMES( ISNUM )
ELSE
SRNAMT = SNAMES( ISNUM )
* Test error exits.
IF( TSTERR )
THEN
CALL DCHKE( ISNUM, SNAMES( ISNUM ), NOUT )
WRITE( NOUT,
FMT = * )
END IF
* Test computations.
INFOT = 0
OK = .
TRUE.
FATAL = .
FALSE.
GO TO ( 140, 140, 150, 150, 150, 160, 160,
$ 160, 160, 160, 160, 170, 180, 180,
$ 190, 190 )ISNUM
* Test DGEMV, 01, and DGBMV, 02.
140
CALL DCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
$ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
$ X, XX, XS, Y, YY, YS, YT, G )
GO TO 200
* Test DSYMV, 03, DSBMV, 04, and DSPMV, 05.
150
CALL DCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
$ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
$ X, XX, XS, Y, YY, YS, YT, G )
GO TO 200
* Test DTRMV, 06, DTBMV, 07, DTPMV, 08,
* DTRSV, 09, DTBSV, 10, and DTPSV, 11.
160
CALL DCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z )
GO TO 200
* Test DGER, 12.
170
CALL DCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
$ YT, G, Z )
GO TO 200
* Test DSYR, 13, and DSPR, 14.
180
CALL DCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
$ YT, G, Z )
GO TO 200
* Test DSYR2, 15, and DSPR2, 16.
190
CALL DCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
$ YT, G, Z )
*
200
IF( FATAL.AND.SFATAL )
$
GO TO 220
END IF
210
CONTINUE
WRITE( NOUT,
FMT = 9982 )
GO TO 240
*
220
CONTINUE
WRITE( NOUT,
FMT = 9981 )
GO TO 240
*
230
CONTINUE
WRITE( NOUT,
FMT = 9987 )
*
240
CONTINUE
IF( TRACE )
$
CLOSE ( NTRA )
CLOSE ( NOUT )
STOP
*
9999
FORMAT(
' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
$
'S THAN', F8.2 )
9998
FORMAT(
' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, D9.1 )
9997
FORMAT(
' NUMBER OF VALUES OF ', A,
' IS LESS THAN 1 OR GREATER ',
$
'THAN ', I2 )
9996
FORMAT(
' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
9995
FORMAT(
' VALUE OF K IS LESS THAN 0' )
9994
FORMAT(
' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
$ I2 )
9993
FORMAT(
' TESTS OF THE DOUBLE PRECISION LEVEL 2 BLAS', //
' THE F',
$
'OLLOWING PARAMETER VALUES WILL BE USED:' )
9992
FORMAT(
' FOR N ', 9I6 )
9991
FORMAT(
' FOR K ', 7I6 )
9990
FORMAT(
' FOR INCX AND INCY ', 7I6 )
9989
FORMAT(
' FOR ALPHA ', 7F6.1 )
9988
FORMAT(
' FOR BETA ', 7F6.1 )
9987
FORMAT(
' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
$ /
' ******* TESTS ABANDONED *******' )
9986
FORMAT(
' SUBPROGRAM NAME ', A6,
' NOT RECOGNIZED', /
' ******* T',
$
'ESTS ABANDONED *******' )
9985
FORMAT(
' ERROR IN DMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
$
'ATED WRONGLY.', /
' DMVCH WAS CALLED WITH TRANS = ', A1,
$
' AND RETURNED SAME = ', L1,
' AND ERR = ', F12.3,
'.', /
$
' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.'
$ , /
' ******* TESTS ABANDONED *******' )
9984
FORMAT( A6, L2 )
9983
FORMAT( 1X, A6,
' WAS NOT TESTED' )
9982
FORMAT( /
' END OF TESTS' )
9981
FORMAT( /
' ******* FATAL ERROR - TESTS ABANDONED *******' )
9980
FORMAT(
' ERROR-EXITS WILL NOT BE TESTED' )
*
*
End of DBLAT2.
*
END
SUBROUTINE DCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
$ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
$ XS, Y, YY, YS, YT, G )
*
* Tests DGEMV and DGBMV.
*
* Auxiliary routine for test
program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
$ NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ),
$ X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, ALS, BETA, BLS,
ERR, ERRMAX, TRANSL
INTEGER I, IA, IB, IC, IKU, IM,
IN, INCX, INCXS, INCY,
$ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA,
$ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK,
$ NL, NS
LOGICAL BANDED, FULL,
NULL, RESET, SAME, TRAN
CHARACTER*1 TRANS, TRANSS
CHARACTER*3 ICH
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* ..
External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* ..
External Subroutines ..
EXTERNAL DGBMV, DGEMV, DMAKE, DMVCH
* ..
Intrinsic Functions ..
INTRINSIC ABS, MAX, MIN
* .. Scalars
in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* ..
Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* ..
Data statements ..
DATA ICH/
'NTC'/
* .. Executable Statements ..
FULL = SNAME( 3: 3 ).EQ.
'E'
BANDED = SNAME( 3: 3 ).EQ.
'B'
* Define the
number of arguments.
IF( FULL )
THEN
NARGS = 11
ELSE IF( BANDED )
THEN
NARGS = 13
END IF
*
NC = 0
RESET = .
TRUE.
ERRMAX = ZERO
*
DO 120
IN = 1, NIDIM
N = IDIM(
IN )
ND = N/2 + 1
*
DO 110 IM = 1, 2
IF( IM.EQ.1 )
$ M = MAX( N - ND, 0 )
IF( IM.EQ.2 )
$ M = MIN( N + ND, NMAX )
*
IF( BANDED )
THEN
NK = NKB
ELSE
NK = 1
END IF
DO 100 IKU = 1, NK
IF( BANDED )
THEN
KU = KB( IKU )
KL = MAX( KU - 1, 0 )
ELSE
KU = N - 1
KL = M - 1
END IF
* Set LDA
to 1 more than minimum value
if room.
IF( BANDED )
THEN
LDA = KL + KU + 1
ELSE
LDA = M
END IF
IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests
if not enough room.
IF( LDA.GT.NMAX )
$
GO TO 100
LAA = LDA*N
NULL = N.LE.0.OR.M.LE.0
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME( 2: 3 ),
' ',
' ', M, N, A, NMAX, AA,
$ LDA, KL, KU, RESET, TRANSL )
*
DO 90 IC = 1, 3
TRANS = ICH( IC: IC )
TRAN = TRANS.EQ.
'T'.OR.TRANS.EQ.
'C'
*
IF( TRAN )
THEN
ML = N
NL = M
ELSE
ML = M
NL = N
END IF
*
DO 80 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*NL
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE(
'GE',
' ',
' ', 1, NL, X, 1, XX,
$ ABS( INCX ), 0, NL - 1, RESET, TRANSL )
IF( NL.GT.1 )
THEN
X( NL/2 ) = ZERO
XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
END IF
*
DO 70 IY = 1, NINC
INCY = INC( IY )
LY = ABS( INCY )*ML
*
DO 60 IA = 1, NALF
ALPHA = ALF( IA )
*
DO 50 IB = 1, NBET
BETA = BET( IB )
*
* Generate the vector Y.
*
TRANSL = ZERO
CALL DMAKE(
'GE',
' ',
' ', 1, ML, Y, 1,
$ YY, ABS( INCY ), 0, ML - 1,
$ RESET, TRANSL )
*
NC = NC + 1
*
*
Save every datum before calling the
*
subroutine.
*
TRANSS = TRANS
MS = M
NS = N
KLS = KL
KUS = KU
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10
CONTINUE
LDAS = LDA
DO 20 I = 1, LX
XS( I ) = XX( I )
20
CONTINUE
INCXS = INCX
BLS = BETA
DO 30 I = 1, LY
YS( I ) = YY( I )
30
CONTINUE
INCYS = INCY
*
*
Call the
subroutine.
*
IF( FULL )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9994 )NC, SNAME,
$ TRANS, M, N, ALPHA, LDA, INCX, BETA,
$ INCY
IF( REWI )
$
REWIND NTRA
CALL DGEMV( TRANS, M, N, ALPHA, AA,
$ LDA, XX, INCX, BETA, YY,
$ INCY )
ELSE IF( BANDED )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9995 )NC, SNAME,
$ TRANS, M, N, KL, KU, ALPHA, LDA,
$ INCX, BETA, INCY
IF( REWI )
$
REWIND NTRA
CALL DGBMV( TRANS, M, N, KL, KU, ALPHA,
$ AA, LDA, XX, INCX, BETA,
$ YY, INCY )
END IF
*
* Check
if error-exit was taken incorrectly.
*
IF( .NOT.OK )
THEN
WRITE( NOUT,
FMT = 9993 )
FATAL = .
TRUE.
GO TO 130
END IF
*
* See what
data changed inside subroutines.
*
ISAME( 1 ) = TRANS.EQ.TRANSS
ISAME( 2 ) = MS.EQ.M
ISAME( 3 ) = NS.EQ.N
IF( FULL )
THEN
ISAME( 4 ) = ALS.EQ.ALPHA
ISAME( 5 ) = LDE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
ISAME( 7 ) = LDE( XS, XX, LX )
ISAME( 8 ) = INCXS.EQ.INCX
ISAME( 9 ) = BLS.EQ.BETA
IF(
NULL )
THEN
ISAME( 10 ) = LDE( YS, YY, LY )
ELSE
ISAME( 10 ) = LDERES(
'GE',
' ', 1,
$ ML, YS, YY,
$ ABS( INCY ) )
END IF
ISAME( 11 ) = INCYS.EQ.INCY
ELSE IF( BANDED )
THEN
ISAME( 4 ) = KLS.EQ.KL
ISAME( 5 ) = KUS.EQ.KU
ISAME( 6 ) = ALS.EQ.ALPHA
ISAME( 7 ) = LDE( AS, AA, LAA )
ISAME( 8 ) = LDAS.EQ.LDA
ISAME( 9 ) = LDE( XS, XX, LX )
ISAME( 10 ) = INCXS.EQ.INCX
ISAME( 11 ) = BLS.EQ.BETA
IF(
NULL )
THEN
ISAME( 12 ) = LDE( YS, YY, LY )
ELSE
ISAME( 12 ) = LDERES(
'GE',
' ', 1,
$ ML, YS, YY,
$ ABS( INCY ) )
END IF
ISAME( 13 ) = INCYS.EQ.INCY
END IF
*
*
If data was incorrectly changed, report
* and
return.
*
SAME = .
TRUE.
DO 40 I = 1, NARGS
SAME = SAME.AND.ISAME( I )
IF( .NOT.ISAME( I ) )
$
WRITE( NOUT,
FMT = 9998 )I
40
CONTINUE
IF( .NOT.SAME )
THEN
FATAL = .
TRUE.
GO TO 130
END IF
*
IF( .NOT.
NULL )
THEN
*
* Check the result.
*
CALL DMVCH( TRANS, M, N, ALPHA, A,
$ NMAX, X, INCX, BETA, Y,
$ INCY, YT, G, YY, EPS,
ERR,
$ FATAL, NOUT, .
TRUE. )
ERRMAX = MAX( ERRMAX,
ERR )
*
If got really bad answer, report and
*
return.
IF( FATAL )
$
GO TO 130
ELSE
* Avoid repeating tests with M.le.0 or
* N.le.0.
GO TO 110
END IF
*
50
CONTINUE
*
60
CONTINUE
*
70
CONTINUE
*
80
CONTINUE
*
90
CONTINUE
*
100
CONTINUE
*
110
CONTINUE
*
120
CONTINUE
*
* Report result.
*
IF( ERRMAX.LT.THRESH )
THEN
WRITE( NOUT,
FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT,
FMT = 9997 )SNAME, NC, ERRMAX
END IF
GO TO 140
*
130
CONTINUE
WRITE( NOUT,
FMT = 9996 )SNAME
IF( FULL )
THEN
WRITE( NOUT,
FMT = 9994 )NC, SNAME, TRANS, M, N, ALPHA, LDA,
$ INCX, BETA, INCY
ELSE IF( BANDED )
THEN
WRITE( NOUT,
FMT = 9995 )NC, SNAME, TRANS, M, N, KL, KU,
$ ALPHA, LDA, INCX, BETA, INCY
END IF
*
140
CONTINUE
RETURN
*
9999
FORMAT(
' ', A6,
' PASSED THE COMPUTATIONAL TESTS (', I6,
' CALL',
$
'S)' )
9998
FORMAT(
' ******* FATAL ERROR - PARAMETER NUMBER ', I2,
' WAS CH',
$
'ANGED INCORRECTLY *******' )
9997
FORMAT(
' ', A6,
' COMPLETED THE COMPUTATIONAL TESTS (', I6,
' C',
$
'ALLS)', /
' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$
' - SUSPECT *******' )
9996
FORMAT(
' ******* ', A6,
' FAILED ON CALL NUMBER:' )
9995
FORMAT( 1X, I6,
': ', A6,
'(''', A1,
''',', 4( I3,
',' ), F4.1,
$
', A,', I3,
', X,', I2,
',', F4.1,
', Y,', I2,
') .' )
9994
FORMAT( 1X, I6,
': ', A6,
'(''', A1,
''',', 2( I3,
',' ), F4.1,
$
', A,', I3,
', X,', I2,
',', F4.1,
', Y,', I2,
$
') .' )
9993
FORMAT(
' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$
'******' )
*
*
End of DCHK1.
*
END
SUBROUTINE DCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
$ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
$ XS, Y, YY, YS, YT, G )
*
* Tests DSYMV, DSBMV and DSPMV.
*
* Auxiliary routine for test
program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
$ NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ),
$ X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, ALS, BETA, BLS,
ERR, ERRMAX, TRANSL
INTEGER I, IA, IB, IC, IK,
IN, INCX, INCXS, INCY,
$ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY,
$ N, NARGS, NC, NK, NS
LOGICAL BANDED, FULL,
NULL, PACKED, RESET, SAME
CHARACTER*1 UPLO, UPLOS
CHARACTER*2 ICH
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* ..
External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* ..
External Subroutines ..
EXTERNAL DMAKE, DMVCH, DSBMV, DSPMV, DSYMV
* ..
Intrinsic Functions ..
INTRINSIC ABS, MAX
* .. Scalars
in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* ..
Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* ..
Data statements ..
DATA ICH/
'UL'/
* .. Executable Statements ..
FULL = SNAME( 3: 3 ).EQ.
'Y'
BANDED = SNAME( 3: 3 ).EQ.
'B'
PACKED = SNAME( 3: 3 ).EQ.
'P'
* Define the
number of arguments.
IF( FULL )
THEN
NARGS = 10
ELSE IF( BANDED )
THEN
NARGS = 11
ELSE IF( PACKED )
THEN
NARGS = 9
END IF
*
NC = 0
RESET = .
TRUE.
ERRMAX = ZERO
*
DO 110
IN = 1, NIDIM
N = IDIM(
IN )
*
IF( BANDED )
THEN
NK = NKB
ELSE
NK = 1
END IF
DO 100 IK = 1, NK
IF( BANDED )
THEN
K = KB( IK )
ELSE
K = N - 1
END IF
* Set LDA
to 1 more than minimum value
if room.
IF( BANDED )
THEN
LDA = K + 1
ELSE
LDA = N
END IF
IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests
if not enough room.
IF( LDA.GT.NMAX )
$
GO TO 100
IF( PACKED )
THEN
LAA = ( N*( N + 1 ) )/2
ELSE
LAA = LDA*N
END IF
NULL = N.LE.0
*
DO 90 IC = 1, 2
UPLO = ICH( IC: IC )
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME( 2: 3 ), UPLO,
' ', N, N, A, NMAX, AA,
$ LDA, K, K, RESET, TRANSL )
*
DO 80 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*N
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE(
'GE',
' ',
' ', 1, N, X, 1, XX,
$ ABS( INCX ), 0, N - 1, RESET, TRANSL )
IF( N.GT.1 )
THEN
X( N/2 ) = ZERO
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
END IF
*
DO 70 IY = 1, NINC
INCY = INC( IY )
LY = ABS( INCY )*N
*
DO 60 IA = 1, NALF
ALPHA = ALF( IA )
*
DO 50 IB = 1, NBET
BETA = BET( IB )
*
* Generate the vector Y.
*
TRANSL = ZERO
CALL DMAKE(
'GE',
' ',
' ', 1, N, Y, 1, YY,
$ ABS( INCY ), 0, N - 1, RESET,
$ TRANSL )
*
NC = NC + 1
*
*
Save every datum before calling the
*
subroutine.
*
UPLOS = UPLO
NS = N
KS = K
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10
CONTINUE
LDAS = LDA
DO 20 I = 1, LX
XS( I ) = XX( I )
20
CONTINUE
INCXS = INCX
BLS = BETA
DO 30 I = 1, LY
YS( I ) = YY( I )
30
CONTINUE
INCYS = INCY
*
*
Call the
subroutine.
*
IF( FULL )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9993 )NC, SNAME,
$ UPLO, N, ALPHA, LDA, INCX, BETA, INCY
IF( REWI )
$
REWIND NTRA
CALL DSYMV( UPLO, N, ALPHA, AA, LDA, XX,
$ INCX, BETA, YY, INCY )
ELSE IF( BANDED )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9994 )NC, SNAME,
$ UPLO, N, K, ALPHA, LDA, INCX, BETA,
$ INCY
IF( REWI )
$
REWIND NTRA
CALL DSBMV( UPLO, N, K, ALPHA, AA, LDA,
$ XX, INCX, BETA, YY, INCY )
ELSE IF( PACKED )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9995 )NC, SNAME,
$ UPLO, N, ALPHA, INCX, BETA, INCY
IF( REWI )
$
REWIND NTRA
CALL DSPMV( UPLO, N, ALPHA, AA, XX, INCX,
$ BETA, YY, INCY )
END IF
*
* Check
if error-exit was taken incorrectly.
*
IF( .NOT.OK )
THEN
WRITE( NOUT,
FMT = 9992 )
FATAL = .
TRUE.
GO TO 120
END IF
*
* See what
data changed inside subroutines.
*
ISAME( 1 ) = UPLO.EQ.UPLOS
ISAME( 2 ) = NS.EQ.N
IF( FULL )
THEN
ISAME( 3 ) = ALS.EQ.ALPHA
ISAME( 4 ) = LDE( AS, AA, LAA )
ISAME( 5 ) = LDAS.EQ.LDA
ISAME( 6 ) = LDE( XS, XX, LX )
ISAME( 7 ) = INCXS.EQ.INCX
ISAME( 8 ) = BLS.EQ.BETA
IF(
NULL )
THEN
ISAME( 9 ) = LDE( YS, YY, LY )
ELSE
ISAME( 9 ) = LDERES(
'GE',
' ', 1, N,
$ YS, YY, ABS( INCY ) )
END IF
ISAME( 10 ) = INCYS.EQ.INCY
ELSE IF( BANDED )
THEN
ISAME( 3 ) = KS.EQ.K
ISAME( 4 ) = ALS.EQ.ALPHA
ISAME( 5 ) = LDE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
ISAME( 7 ) = LDE( XS, XX, LX )
ISAME( 8 ) = INCXS.EQ.INCX
ISAME( 9 ) = BLS.EQ.BETA
IF(
NULL )
THEN
ISAME( 10 ) = LDE( YS, YY, LY )
ELSE
ISAME( 10 ) = LDERES(
'GE',
' ', 1, N,
$ YS, YY, ABS( INCY ) )
END IF
ISAME( 11 ) = INCYS.EQ.INCY
ELSE IF( PACKED )
THEN
ISAME( 3 ) = ALS.EQ.ALPHA
ISAME( 4 ) = LDE( AS, AA, LAA )
ISAME( 5 ) = LDE( XS, XX, LX )
ISAME( 6 ) = INCXS.EQ.INCX
ISAME( 7 ) = BLS.EQ.BETA
IF(
NULL )
THEN
ISAME( 8 ) = LDE( YS, YY, LY )
ELSE
ISAME( 8 ) = LDERES(
'GE',
' ', 1, N,
$ YS, YY, ABS( INCY ) )
END IF
ISAME( 9 ) = INCYS.EQ.INCY
END IF
*
*
If data was incorrectly changed, report and
*
return.
*
SAME = .
TRUE.
DO 40 I = 1, NARGS
SAME = SAME.AND.ISAME( I )
IF( .NOT.ISAME( I ) )
$
WRITE( NOUT,
FMT = 9998 )I
40
CONTINUE
IF( .NOT.SAME )
THEN
FATAL = .
TRUE.
GO TO 120
END IF
*
IF( .NOT.
NULL )
THEN
*
* Check the result.
*
CALL DMVCH(
'N', N, N, ALPHA, A, NMAX, X,
$ INCX, BETA, Y, INCY, YT, G,
$ YY, EPS,
ERR, FATAL, NOUT,
$ .
TRUE. )
ERRMAX = MAX( ERRMAX,
ERR )
*
If got really bad answer, report and
*
return.
IF( FATAL )
$
GO TO 120
ELSE
* Avoid repeating tests with N.le.0
GO TO 110
END IF
*
50
CONTINUE
*
60
CONTINUE
*
70
CONTINUE
*
80
CONTINUE
*
90
CONTINUE
*
100
CONTINUE
*
110
CONTINUE
*
* Report result.
*
IF( ERRMAX.LT.THRESH )
THEN
WRITE( NOUT,
FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT,
FMT = 9997 )SNAME, NC, ERRMAX
END IF
GO TO 130
*
120
CONTINUE
WRITE( NOUT,
FMT = 9996 )SNAME
IF( FULL )
THEN
WRITE( NOUT,
FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, LDA, INCX,
$ BETA, INCY
ELSE IF( BANDED )
THEN
WRITE( NOUT,
FMT = 9994 )NC, SNAME, UPLO, N, K, ALPHA, LDA,
$ INCX, BETA, INCY
ELSE IF( PACKED )
THEN
WRITE( NOUT,
FMT = 9995 )NC, SNAME, UPLO, N, ALPHA, INCX,
$ BETA, INCY
END IF
*
130
CONTINUE
RETURN
*
9999
FORMAT(
' ', A6,
' PASSED THE COMPUTATIONAL TESTS (', I6,
' CALL',
$
'S)' )
9998
FORMAT(
' ******* FATAL ERROR - PARAMETER NUMBER ', I2,
' WAS CH',
$
'ANGED INCORRECTLY *******' )
9997
FORMAT(
' ', A6,
' COMPLETED THE COMPUTATIONAL TESTS (', I6,
' C',
$
'ALLS)', /
' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$
' - SUSPECT *******' )
9996
FORMAT(
' ******* ', A6,
' FAILED ON CALL NUMBER:' )
9995
FORMAT( 1X, I6,
': ', A6,
'(''', A1,
''',', I3,
',', F4.1,
', AP',
$
', X,', I2,
',', F4.1,
', Y,', I2,
') .' )
9994
FORMAT( 1X, I6,
': ', A6,
'(''', A1,
''',', 2( I3,
',' ), F4.1,
$
', A,', I3,
', X,', I2,
',', F4.1,
', Y,', I2,
$
') .' )
9993
FORMAT( 1X, I6,
': ', A6,
'(''', A1,
''',', I3,
',', F4.1,
', A,',
$ I3,
', X,', I2,
',', F4.1,
', Y,', I2,
') .' )
9992
FORMAT(
' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$
'******' )
*
*
End of DCHK2.
*
END
SUBROUTINE DCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX,
$ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z )
*
* Tests DTRMV, DTBMV, DTPMV, DTRSV, DTBSV and DTPSV.
*
* Auxiliary routine for test
program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF, ONE
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ),
$ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
$ XS( NMAX*INCMAX ), XT( NMAX ),
$ XX( NMAX*INCMAX ), Z( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
DOUBLE PRECISION ERR, ERRMAX, TRANSL
INTEGER I, ICD, ICT, ICU, IK,
IN, INCX, INCXS, IX, K,
$ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS
LOGICAL BANDED, FULL,
NULL, PACKED, RESET, SAME
CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS
CHARACTER*2 ICHD, ICHU
CHARACTER*3 ICHT
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* ..
External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* ..
External Subroutines ..
EXTERNAL DMAKE, DMVCH, DTBMV, DTBSV, DTPMV, DTPSV,
$ DTRMV, DTRSV
* ..
Intrinsic Functions ..
INTRINSIC ABS, MAX
* .. Scalars
in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* ..
Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* ..
Data statements ..
DATA ICHU/
'UL'/, ICHT/
'NTC'/, ICHD/
'UN'/
* .. Executable Statements ..
FULL = SNAME( 3: 3 ).EQ.
'R'
BANDED = SNAME( 3: 3 ).EQ.
'B'
PACKED = SNAME( 3: 3 ).EQ.
'P'
* Define the
number of arguments.
IF( FULL )
THEN
NARGS = 8
ELSE IF( BANDED )
THEN
NARGS = 9
ELSE IF( PACKED )
THEN
NARGS = 7
END IF
*
NC = 0
RESET = .
TRUE.
ERRMAX = ZERO
* Set up zero vector for DMVCH.
DO 10 I = 1, NMAX
Z( I ) = ZERO
10
CONTINUE
*
DO 110
IN = 1, NIDIM
N = IDIM(
IN )
*
IF( BANDED )
THEN
NK = NKB
ELSE
NK = 1
END IF
DO 100 IK = 1, NK
IF( BANDED )
THEN
K = KB( IK )
ELSE
K = N - 1
END IF
* Set LDA
to 1 more than minimum value
if room.
IF( BANDED )
THEN
LDA = K + 1
ELSE
LDA = N
END IF
IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests
if not enough room.
IF( LDA.GT.NMAX )
$
GO TO 100
IF( PACKED )
THEN
LAA = ( N*( N + 1 ) )/2
ELSE
LAA = LDA*N
END IF
NULL = N.LE.0
*
DO 90 ICU = 1, 2
UPLO = ICHU( ICU: ICU )
*
DO 80 ICT = 1, 3
TRANS = ICHT( ICT: ICT )
*
DO 70 ICD = 1, 2
DIAG = ICHD( ICD: ICD )
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME( 2: 3 ), UPLO, DIAG, N, N, A,
$ NMAX, AA, LDA, K, K, RESET, TRANSL )
*
DO 60 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*N
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE(
'GE',
' ',
' ', 1, N, X, 1, XX,
$ ABS( INCX ), 0, N - 1, RESET,
$ TRANSL )
IF( N.GT.1 )
THEN
X( N/2 ) = ZERO
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
END IF
*
NC = NC + 1
*
*
Save every datum before calling the
subroutine.
*
UPLOS = UPLO
TRANSS = TRANS
DIAGS = DIAG
NS = N
KS = K
DO 20 I = 1, LAA
AS( I ) = AA( I )
20
CONTINUE
LDAS = LDA
DO 30 I = 1, LX
XS( I ) = XX( I )
30
CONTINUE
INCXS = INCX
*
*
Call the
subroutine.
*
IF( SNAME( 4: 5 ).EQ.
'MV' )
THEN
IF( FULL )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9993 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, LDA, INCX
IF( REWI )
$
REWIND NTRA
CALL DTRMV( UPLO, TRANS, DIAG, N, AA, LDA,
$ XX, INCX )
ELSE IF( BANDED )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9994 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, K, LDA, INCX
IF( REWI )
$
REWIND NTRA
CALL DTBMV( UPLO, TRANS, DIAG, N, K, AA,
$ LDA, XX, INCX )
ELSE IF( PACKED )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9995 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, INCX
IF( REWI )
$
REWIND NTRA
CALL DTPMV( UPLO, TRANS, DIAG, N, AA, XX,
$ INCX )
END IF
ELSE IF( SNAME( 4: 5 ).EQ.
'SV' )
THEN
IF( FULL )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9993 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, LDA, INCX
IF( REWI )
$
REWIND NTRA
CALL DTRSV( UPLO, TRANS, DIAG, N, AA, LDA,
$ XX, INCX )
ELSE IF( BANDED )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9994 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, K, LDA, INCX
IF( REWI )
$
REWIND NTRA
CALL DTBSV( UPLO, TRANS, DIAG, N, K, AA,
$ LDA, XX, INCX )
ELSE IF( PACKED )
THEN
IF( TRACE )
$
WRITE( NTRA,
FMT = 9995 )NC, SNAME,
$ UPLO, TRANS, DIAG, N, INCX
IF( REWI )
$
REWIND NTRA
CALL DTPSV( UPLO, TRANS, DIAG, N, AA, XX,
$ INCX )
END IF
END IF
*
* Check
if error-exit was taken incorrectly.
*
IF( .NOT.OK )
THEN
WRITE( NOUT,
FMT = 9992 )
FATAL = .
TRUE.
GO TO 120
END IF
*
* See what
data changed inside subroutines.
*
ISAME( 1 ) = UPLO.EQ.UPLOS
ISAME( 2 ) = TRANS.EQ.TRANSS
ISAME( 3 ) = DIAG.EQ.DIAGS
ISAME( 4 ) = NS.EQ.N
IF( FULL )
THEN
ISAME( 5 ) = LDE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
IF(
NULL )
THEN
ISAME( 7 ) = LDE( XS, XX, LX )
ELSE
ISAME( 7 ) = LDERES(
'GE',
' ', 1, N, XS,
$ XX, ABS( INCX ) )
END IF
ISAME( 8 ) = INCXS.EQ.INCX
ELSE IF( BANDED )
THEN
ISAME( 5 ) = KS.EQ.K
ISAME( 6 ) = LDE( AS, AA, LAA )
ISAME( 7 ) = LDAS.EQ.LDA
IF(
NULL )
THEN
ISAME( 8 ) = LDE( XS, XX, LX )
ELSE
ISAME( 8 ) = LDERES(
'GE',
' ', 1, N, XS,
$ XX, ABS( INCX ) )
END IF
ISAME( 9 ) = INCXS.EQ.INCX
ELSE IF( PACKED )
THEN
ISAME( 5 ) = LDE( AS, AA, LAA )
IF(
NULL )
THEN
ISAME( 6 ) = LDE( XS, XX, LX )
ELSE
ISAME( 6 ) = LDERES(
'GE',
' ', 1, N, XS,
$ XX, ABS( INCX ) )
END IF
ISAME( 7 ) = INCXS.EQ.INCX
END IF
*
*
If data was incorrectly changed, report and
*
return.
*
SAME = .
TRUE.
DO 40 I = 1, NARGS
SAME = SAME.AND.ISAME( I )
IF( .NOT.ISAME( I ) )
$
WRITE( NOUT,
FMT = 9998 )I
40
CONTINUE
IF( .NOT.SAME )
THEN
FATAL = .
TRUE.
GO TO 120
END IF
*
IF( .NOT.
NULL )
THEN
IF( SNAME( 4: 5 ).EQ.
'MV' )
THEN
*
* Check the result.
*
CALL DMVCH( TRANS, N, N, ONE, A, NMAX, X,
$ INCX, ZERO, Z, INCX, XT, G,
$ XX, EPS,
ERR, FATAL, NOUT,
$ .
TRUE. )
ELSE IF( SNAME( 4: 5 ).EQ.
'SV' )
THEN
*
* Compute approximation
to original vector.
*
DO 50 I = 1, N
Z( I ) = XX( 1 + ( I - 1 )*
$ ABS( INCX ) )
XX( 1 + ( I - 1 )*ABS( INCX ) )
$ = X( I )
50
CONTINUE
CALL DMVCH( TRANS, N, N, ONE, A, NMAX, Z,
$ INCX, ZERO, X, INCX, XT, G,
$ XX, EPS,
ERR, FATAL, NOUT,
$ .
FALSE. )
END IF
ERRMAX = MAX( ERRMAX,
ERR )
*
If got really bad answer, report and
return.
IF( FATAL )
$
GO TO 120
ELSE
* Avoid repeating tests with N.le.0.
GO TO 110
END IF
*
60
CONTINUE
*
70
CONTINUE
*
80
CONTINUE
*
90
CONTINUE
*
100
CONTINUE
*
110
CONTINUE
*
* Report result.
*
IF( ERRMAX.LT.THRESH )
THEN
WRITE( NOUT,
FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT,
FMT = 9997 )SNAME, NC, ERRMAX
END IF
GO TO 130
*
120
CONTINUE
WRITE( NOUT,
FMT = 9996 )SNAME
IF( FULL )
THEN
WRITE( NOUT,
FMT = 9993 )NC, SNAME, UPLO, TRANS, DIAG, N, LDA,
$ INCX
ELSE IF( BANDED )
THEN
WRITE( NOUT,
FMT = 9994 )NC, SNAME, UPLO, TRANS, DIAG, N, K,
$ LDA, INCX
ELSE IF( PACKED )
THEN
WRITE( NOUT,
FMT = 9995 )NC, SNAME, UPLO, TRANS, DIAG, N, INCX
END IF
*
130
CONTINUE
RETURN
*
9999
FORMAT(
' ', A6,
' PASSED THE COMPUTATIONAL TESTS (', I6,
' CALL',
$
'S)' )
9998
FORMAT(
' ******* FATAL ERROR - PARAMETER NUMBER ', I2,
' WAS CH',
$
'ANGED INCORRECTLY *******' )
9997
FORMAT(
' ', A6,
' COMPLETED THE COMPUTATIONAL TESTS (', I6,
' C',
$
'ALLS)', /
' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$
' - SUSPECT *******' )
9996
FORMAT(
' ******* ', A6,
' FAILED ON CALL NUMBER:' )
9995
FORMAT( 1X, I6,
': ', A6,
'(', 3(
'''', A1,
''',' ), I3,
', AP, ',
$
'X,', I2,
') .' )
9994
FORMAT( 1X, I6,
': ', A6,
'(', 3(
'''', A1,
''',' ), 2( I3,
',' ),
$
' A,', I3,
', X,', I2,
') .' )
9993
FORMAT( 1X, I6,
': ', A6,
'(', 3(
'''', A1,
''',' ), I3,
', A,',
$ I3,
', X,', I2,
') .' )
9992
FORMAT(
' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$
'******' )
*
*
End of DCHK3.
*
END
SUBROUTINE DCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
$ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
$ Z )
*
* Tests DGER.
*
* Auxiliary routine for test
program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF, ONE
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, ALS,
ERR, ERRMAX, TRANSL
INTEGER I, IA, IM,
IN, INCX, INCXS, INCY, INCYS, IX,
$ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS,
$ NC, ND, NS
LOGICAL NULL, RESET, SAME
* .. Local Arrays ..
DOUBLE PRECISION W( 1 )
LOGICAL ISAME( 13 )
* ..
External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* ..
External Subroutines ..
EXTERNAL DGER, DMAKE, DMVCH
* ..
Intrinsic Functions ..
INTRINSIC ABS, MAX, MIN
* .. Scalars
in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* ..
Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Executable Statements ..
* Define the
number of arguments.
NARGS = 9
*
NC = 0
RESET = .
TRUE.
ERRMAX = ZERO
*
DO 120
IN = 1, NIDIM
N = IDIM(
IN )
ND = N/2 + 1
*
DO 110 IM = 1, 2
IF( IM.EQ.1 )
$ M = MAX( N - ND, 0 )
IF( IM.EQ.2 )
$ M = MIN( N + ND, NMAX )
*
* Set LDA
to 1 more than minimum value
if room.
LDA = M
IF( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests
if not enough room.
IF( LDA.GT.NMAX )
$
GO TO 110
LAA = LDA*N
NULL = N.LE.0.OR.M.LE.0
*
DO 100 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*M
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE(
'GE',
' ',
' ', 1, M, X, 1, XX, ABS( INCX ),
$ 0, M - 1, RESET, TRANSL )
IF( M.GT.1 )
THEN
X( M/2 ) = ZERO
XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
END IF
*
DO 90 IY = 1, NINC
INCY = INC( IY )
LY = ABS( INCY )*N
*
* Generate the vector Y.
*
TRANSL = ZERO
CALL DMAKE(
'GE',
' ',
' ', 1, N, Y, 1, YY,
$ ABS( INCY ), 0, N - 1, RESET, TRANSL )
IF( N.GT.1 )
THEN
Y( N/2 ) = ZERO
YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
END IF
*
DO 80 IA = 1, NALF
ALPHA = ALF( IA )
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME( 2: 3 ),
' ',
' ', M, N, A, NMAX,
$ AA, LDA, M - 1, N - 1, RESET, TRANSL )
*
NC = NC + 1
*
*
Save every datum before calling the
subroutine.
*
MS = M
NS = N
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10
CONTINUE
LDAS = LDA
DO 20 I = 1, LX
XS( I ) = XX( I )
20
CONTINUE
INCXS = INCX
DO 30 I = 1, LY
YS( I ) = YY( I )
30
CONTINUE
INCYS = INCY
*
*
Call the
subroutine.
*
IF( TRACE )
$
WRITE( NTRA,
FMT = 9994 )NC, SNAME, M, N,
$ ALPHA, INCX, INCY, LDA
IF( REWI )
$
REWIND NTRA
CALL DGER( M, N, ALPHA, XX, INCX, YY, INCY, AA,
$ LDA )
*
* Check
if error-exit was taken incorrectly.
*
IF( .NOT.OK )
THEN
WRITE( NOUT,
FMT = 9993 )
FATAL = .
TRUE.
GO TO 140
END IF
*
* See what
data changed inside
subroutine.
*
ISAME( 1 ) = MS.EQ.M
ISAME( 2 ) = NS.EQ.N
ISAME( 3 ) = ALS.EQ.ALPHA
ISAME( 4 ) = LDE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
ISAME( 6 ) = LDE( YS, YY, LY )
ISAME( 7 ) = INCYS.EQ.INCY
IF(
NULL )
THEN
ISAME( 8 ) = LDE( AS, AA, LAA )
ELSE
ISAME( 8 ) = LDERES(
'GE',
' ', M, N, AS, AA,
$ LDA )
END IF
ISAME( 9 ) = LDAS.EQ.LDA
*
*
If data was incorrectly changed, report and
return.
*
SAME = .
TRUE.
DO 40 I = 1, NARGS
SAME = SAME.AND.ISAME( I )
IF( .NOT.ISAME( I ) )
$
WRITE( NOUT,
FMT = 9998 )I
40
CONTINUE
IF( .NOT.SAME )
THEN
FATAL = .
TRUE.
GO TO 140
END IF
*
IF( .NOT.
NULL )
THEN
*
* Check the result column by column.
*
IF( INCX.GT.0 )
THEN
DO 50 I = 1, M
Z( I ) = X( I )
50
CONTINUE
ELSE
DO 60 I = 1, M
Z( I ) = X( M - I + 1 )
60
CONTINUE
END IF
DO 70 J = 1, N
IF( INCY.GT.0 )
THEN
W( 1 ) = Y( J )
ELSE
W( 1 ) = Y( N - J + 1 )
END IF
CALL DMVCH(
'N', M, 1, ALPHA, Z, NMAX, W, 1,
$ ONE, A( 1, J ), 1, YT, G,
$ AA( 1 + ( J - 1 )*LDA ), EPS,
$
ERR, FATAL, NOUT, .
TRUE. )
ERRMAX = MAX( ERRMAX,
ERR )
*
If got really bad answer, report and
return.
IF( FATAL )
$
GO TO 130
70
CONTINUE
ELSE
* Avoid repeating tests with M.le.0 or N.le.0.
GO TO 110
END IF
*
80
CONTINUE
*
90
CONTINUE
*
100
CONTINUE
*
110
CONTINUE
*
120
CONTINUE
*
* Report result.
*
IF( ERRMAX.LT.THRESH )
THEN
WRITE( NOUT,
FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT,
FMT = 9997 )SNAME, NC, ERRMAX
END IF
GO TO 150
*
130
CONTINUE
WRITE( NOUT,
FMT = 9995 )J
*
140
CONTINUE
WRITE( NOUT,
FMT = 9996 )SNAME
WRITE( NOUT,
FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
*
150
CONTINUE
RETURN
*
9999
FORMAT(
' ', A6,
' PASSED THE COMPUTATIONAL TESTS (', I6,
' CALL',
$
'S)' )
9998
FORMAT(
' ******* FATAL ERROR - PARAMETER NUMBER ', I2,
' WAS CH',
$
'ANGED INCORRECTLY *******' )
9997
FORMAT(
' ', A6,
' COMPLETED THE COMPUTATIONAL TESTS (', I6,
' C',
$
'ALLS)', /
' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$
' - SUSPECT *******' )
9996
FORMAT(
' ******* ', A6,
' FAILED ON CALL NUMBER:' )
9995
FORMAT(
' THESE ARE THE RESULTS FOR COLUMN ', I3 )
9994
FORMAT( 1X, I6,
': ', A6,
'(', 2( I3,
',' ), F4.1,
', X,', I2,
$
', Y,', I2,
', A,', I3,
') .' )
9993
FORMAT(
' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$
'******' )
*
*
End of DCHK4.
*
END
SUBROUTINE DCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
$ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
$ Z )
*
* Tests DSYR and DSPR.
*
* Auxiliary routine for test
program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF, ONE
PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
--> --------------------
--> maximum size reached
--> --------------------
