*> \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
7 DE, UK, and Numerical Algorithms Group Inc.,
1101 31 st
*> 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 .
0 D0, ONE =
1 .
0 D0 )
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' ,
1 P, 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 ' ,
9 I6 )
9991 FORMAT (
' FOR K ' ,
7 I6 )
9990 FORMAT (
' FOR INCX AND INCY ' ,
7 I6 )
9989 FORMAT (
' FOR ALPHA ' ,
7 F6.
1 )
9988 FORMAT (
' FOR BETA ' ,
7 F6.
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 (
1 X, 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 .
0 D0, HALF =
0 .
5 D0 )
* .. 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 (
1 X, I6,
': ' , A6,
'(' '' , A1,
'' ',' ,
4 ( I3,
',' ), F4.
1 ,
$
', A,' , I3,
', X,' , I2,
',' , F4.
1 ,
', Y,' , I2,
') .' )
9994 FORMAT (
1 X, 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 .
0 D0, HALF =
0 .
5 D0 )
* .. 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 (
1 X, I6,
': ' , A6,
'(' '' , A1,
'' ',' , I3,
',' , F4.
1 ,
', AP' ,
$
', X,' , I2,
',' , F4.
1 ,
', Y,' , I2,
') .' )
9994 FORMAT (
1 X, I6,
': ' , A6,
'(' '' , A1,
'' ',' ,
2 ( I3,
',' ), F4.
1 ,
$
', A,' , I3,
', X,' , I2,
',' , F4.
1 ,
', Y,' , I2,
$
') .' )
9993 FORMAT (
1 X, 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 .
0 D0, HALF =
0 .
5 D0, ONE =
1 .
0 D0 )
* .. 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 (
1 X, I6,
': ' , A6,
'(' ,
3 (
'' '' , A1,
'' ',' ), I3,
', AP, ' ,
$
'X,' , I2,
') .' )
9994 FORMAT (
1 X, I6,
': ' , A6,
'(' ,
3 (
'' '' , A1,
'' ',' ),
2 ( I3,
',' ),
$
' A,' , I3,
', X,' , I2,
') .' )
9993 FORMAT (
1 X, 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 .
0 D0, HALF =
0 .
5 D0, ONE =
1 .
0 D0 )
* .. 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 (
1 X, 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 .
0 D0, HALF =
0 .
5 D0, ONE =
1 .
0 D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER *
6 SNAME
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, ALS,
ERR , ERRMAX, TRANSL
INTEGER I, IA, IC,
IN , INCX, INCXS, IX, J, JA, JJ, LAA,
$ LDA, LDAS, LJ, LX, N, NARGS, NC, NS
LOGICAL FULL,
NULL , PACKED, RESET, SAME, UPPER
CHARACTER *
1 UPLO, UPLOS
CHARACTER *
2 ICH
* .. Local Arrays ..
DOUBLE PRECISION W(
1 )
LOGICAL ISAME(
13 )
* ..
External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* ..
External Subroutines ..
EXTERNAL DMAKE, DMVCH, DSPR, DSYR
* ..
Intrinsic Functions ..
INTRINSIC ABS, MAX
* .. Scalars
in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* ..
Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* ..
Data statements ..
DATA ICH/
'UL' /
* .. Executable Statements ..
FULL = SNAME(
3 :
3 ).EQ.
'Y'
PACKED = SNAME(
3 :
3 ).EQ.
'P'
* Define the
number of arguments.
IF ( FULL )
THEN
NARGS =
7
ELSE IF ( PACKED )
THEN
NARGS =
6
END IF
*
NC =
0
RESET = .
TRUE .
ERRMAX = ZERO
*
DO 100 IN =
1 , NIDIM
N = IDIM(
IN )
* Set LDA
to 1 more than minimum value
if room.
LDA = N
IF ( LDA.LT.NMAX )
$ LDA = LDA +
1
* Skip tests
if not enough room.
IF ( LDA.GT.NMAX )
$
GO TO 100
IF ( PACKED )
THEN
LAA = ( N*( N +
1 ) )/
2
ELSE
LAA = LDA*N
END IF
*
DO 90 IC =
1 ,
2
UPLO = ICH( IC: IC )
UPPER = UPLO.EQ.
'U'
*
DO 80 IX =
1 , NINC
INCX = INC( IX )
LX = ABS( INCX )*N
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE(
'GE' ,
' ' ,
' ' ,
1 , N, X,
1 , XX, ABS( INCX ),
$
0 , N -
1 , RESET, TRANSL )
IF ( N.GT.
1 )
THEN
X( N/
2 ) = ZERO
XX(
1 + ABS( INCX )*( N/
2 -
1 ) ) = ZERO
END IF
*
DO 70 IA =
1 , NALF
ALPHA = ALF( IA )
NULL = N.LE.
0 .OR.ALPHA.EQ.ZERO
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME(
2 :
3 ), UPLO,
' ' , N, N, A, NMAX,
$ AA, LDA, N -
1 , N -
1 , RESET, TRANSL )
*
NC = NC +
1
*
*
Save every datum before calling the
subroutine .
*
UPLOS = UPLO
NS = N
ALS = ALPHA
DO 10 I =
1 , LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
DO 20 I =
1 , LX
XS( I ) = XX( I )
20 CONTINUE
INCXS = INCX
*
*
Call the
subroutine .
*
IF ( FULL )
THEN
IF ( TRACE )
$
WRITE ( NTRA,
FMT =
9993 )NC, SNAME, UPLO, N,
$ ALPHA, INCX, LDA
IF ( REWI )
$
REWIND NTRA
CALL DSYR( UPLO, N, ALPHA, XX, INCX, AA, LDA )
ELSE IF ( PACKED )
THEN
IF ( TRACE )
$
WRITE ( NTRA,
FMT =
9994 )NC, SNAME, UPLO, N,
$ ALPHA, INCX
IF ( REWI )
$
REWIND NTRA
CALL DSPR( UPLO, N, ALPHA, XX, INCX, AA )
END IF
*
* Check
if error-
exit was taken incorrectly.
*
IF ( .NOT.OK )
THEN
WRITE ( NOUT,
FMT =
9992 )
FATAL = .
TRUE .
GO TO 120
END IF
*
* See what
data changed inside subroutines.
*
ISAME(
1 ) = UPLO.EQ.UPLOS
ISAME(
2 ) = NS.EQ.N
ISAME(
3 ) = ALS.EQ.ALPHA
ISAME(
4 ) = LDE( XS, XX, LX )
ISAME(
5 ) = INCXS.EQ.INCX
IF (
NULL )
THEN
ISAME(
6 ) = LDE( AS, AA, LAA )
ELSE
ISAME(
6 ) = LDERES( SNAME(
2 :
3 ), UPLO, N, N, AS,
$ AA, LDA )
END IF
IF ( .NOT.PACKED )
THEN
ISAME(
7 ) = LDAS.EQ.LDA
END IF
*
*
If data was incorrectly changed, report and
return .
*
SAME = .
TRUE .
DO 30 I =
1 , NARGS
SAME = SAME.AND.ISAME( I )
IF ( .NOT.ISAME( I ) )
$
WRITE ( NOUT,
FMT =
9998 )I
30 CONTINUE
IF ( .NOT.SAME )
THEN
FATAL = .
TRUE .
GO TO 120
END IF
*
IF ( .NOT.
NULL )
THEN
*
* Check the result column by column.
*
IF ( INCX.GT.
0 )
THEN
DO 40 I =
1 , N
Z( I ) = X( I )
40 CONTINUE
ELSE
DO 50 I =
1 , N
Z( I ) = X( N - I +
1 )
50 CONTINUE
END IF
JA =
1
DO 60 J =
1 , N
W(
1 ) = Z( J )
IF ( UPPER )
THEN
JJ =
1
LJ = J
ELSE
JJ = J
LJ = N - J +
1
END IF
CALL DMVCH(
'N' , LJ,
1 , ALPHA, Z( JJ ), LJ, W,
$
1 , ONE, A( JJ, J ),
1 , YT, G,
$ AA( JA ), EPS,
ERR , FATAL, NOUT,
$ .
TRUE . )
IF ( FULL )
THEN
IF ( UPPER )
THEN
JA = JA + LDA
ELSE
JA = JA + LDA +
1
END IF
ELSE
JA = JA + LJ
END IF
ERRMAX = MAX( ERRMAX,
ERR )
*
If got really bad answer, report and
return .
IF ( FATAL )
$
GO TO 110
60 CONTINUE
ELSE
* Avoid repeating tests
if N.le.
0 .
IF ( N.LE.
0 )
$
GO TO 100
END IF
*
70 CONTINUE
*
80 CONTINUE
*
90 CONTINUE
*
100 CONTINUE
*
* Report result.
*
IF ( ERRMAX.LT.THRESH )
THEN
WRITE ( NOUT,
FMT =
9999 )SNAME, NC
ELSE
WRITE ( NOUT,
FMT =
9997 )SNAME, NC, ERRMAX
END IF
GO TO 130
*
110 CONTINUE
WRITE ( NOUT,
FMT =
9995 )J
*
120 CONTINUE
WRITE ( NOUT,
FMT =
9996 )SNAME
IF ( FULL )
THEN
WRITE ( NOUT,
FMT =
9993 )NC, SNAME, UPLO, N, ALPHA, INCX, LDA
ELSE IF ( PACKED )
THEN
WRITE ( NOUT,
FMT =
9994 )NC, SNAME, UPLO, N, ALPHA, INCX
END IF
*
130 CONTINUE
RETURN
*
9999 FORMAT (
' ' , A6,
' PASSED THE COMPUTATIONAL TESTS (' , I6,
' CALL' ,
$
'S)' )
9998 FORMAT (
' ******* FATAL ERROR - PARAMETER NUMBER ' , I2,
' WAS CH' ,
$
'ANGED INCORRECTLY *******' )
9997 FORMAT (
' ' , A6,
' COMPLETED THE COMPUTATIONAL TESTS (' , I6,
' C' ,
$
'ALLS)' , /
' ******* BUT WITH MAXIMUM TEST RATIO' , F8.
2 ,
$
' - SUSPECT *******' )
9996 FORMAT (
' ******* ' , A6,
' FAILED ON CALL NUMBER:' )
9995 FORMAT (
' THESE ARE THE RESULTS FOR COLUMN ' , I3 )
9994 FORMAT (
1 X, I6,
': ' , A6,
'(' '' , A1,
'' ',' , I3,
',' , F4.
1 ,
', X,' ,
$ I2,
', AP) .' )
9993 FORMAT (
1 X, I6,
': ' , A6,
'(' '' , A1,
'' ',' , I3,
',' , F4.
1 ,
', X,' ,
$ I2,
', A,' , I3,
') .' )
9992 FORMAT (
' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *' ,
$
'******' )
*
*
End of DCHK5.
*
END
SUBROUTINE DCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
$ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
$ Z )
*
* Tests DSYR2 and DSPR2.
*
* Auxiliary routine for test
program for Level
2 Blas.
*
* -- Written on
10 -August-
1987 .
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, HALF, ONE
PARAMETER ( ZERO =
0 .
0 D0, HALF =
0 .
5 D0, ONE =
1 .
0 D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER *
6 SNAME
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX,
2 )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, ALS,
ERR , ERRMAX, TRANSL
INTEGER I, IA, IC,
IN , INCX, INCXS, INCY, INCYS, IX,
$ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N,
$ NARGS, NC, NS
LOGICAL FULL,
NULL , PACKED, RESET, SAME, UPPER
CHARACTER *
1 UPLO, UPLOS
CHARACTER *
2 ICH
* .. Local Arrays ..
DOUBLE PRECISION W(
2 )
LOGICAL ISAME(
13 )
* ..
External Functions ..
LOGICAL LDE, LDERES
EXTERNAL LDE, LDERES
* ..
External Subroutines ..
EXTERNAL DMAKE, DMVCH, DSPR2, DSYR2
* ..
Intrinsic Functions ..
INTRINSIC ABS, MAX
* .. Scalars
in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* ..
Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* ..
Data statements ..
DATA ICH/
'UL' /
* .. Executable Statements ..
FULL = SNAME(
3 :
3 ).EQ.
'Y'
PACKED = SNAME(
3 :
3 ).EQ.
'P'
* Define the
number of arguments.
IF ( FULL )
THEN
NARGS =
9
ELSE IF ( PACKED )
THEN
NARGS =
8
END IF
*
NC =
0
RESET = .
TRUE .
ERRMAX = ZERO
*
DO 140 IN =
1 , NIDIM
N = IDIM(
IN )
* Set LDA
to 1 more than minimum value
if room.
LDA = N
IF ( LDA.LT.NMAX )
$ LDA = LDA +
1
* Skip tests
if not enough room.
IF ( LDA.GT.NMAX )
$
GO TO 140
IF ( PACKED )
THEN
LAA = ( N*( N +
1 ) )/
2
ELSE
LAA = LDA*N
END IF
*
DO 130 IC =
1 ,
2
UPLO = ICH( IC: IC )
UPPER = UPLO.EQ.
'U'
*
DO 120 IX =
1 , NINC
INCX = INC( IX )
LX = ABS( INCX )*N
*
* Generate the vector X.
*
TRANSL = HALF
CALL DMAKE(
'GE' ,
' ' ,
' ' ,
1 , N, X,
1 , XX, ABS( INCX ),
$
0 , N -
1 , RESET, TRANSL )
IF ( N.GT.
1 )
THEN
X( N/
2 ) = ZERO
XX(
1 + ABS( INCX )*( N/
2 -
1 ) ) = ZERO
END IF
*
DO 110 IY =
1 , NINC
INCY = INC( IY )
LY = ABS( INCY )*N
*
* Generate the vector Y.
*
TRANSL = ZERO
CALL DMAKE(
'GE' ,
' ' ,
' ' ,
1 , N, Y,
1 , YY,
$ ABS( INCY ),
0 , N -
1 , RESET, TRANSL )
IF ( N.GT.
1 )
THEN
Y( N/
2 ) = ZERO
YY(
1 + ABS( INCY )*( N/
2 -
1 ) ) = ZERO
END IF
*
DO 100 IA =
1 , NALF
ALPHA = ALF( IA )
NULL = N.LE.
0 .OR.ALPHA.EQ.ZERO
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL DMAKE( SNAME(
2 :
3 ), UPLO,
' ' , N, N, A,
$ NMAX, AA, LDA, N -
1 , N -
1 , RESET,
$ TRANSL )
*
NC = NC +
1
*
*
Save every datum before calling the
subroutine .
*
UPLOS = UPLO
NS = N
ALS = ALPHA
DO 10 I =
1 , LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
DO 20 I =
1 , LX
XS( I ) = XX( I )
20 CONTINUE
INCXS = INCX
DO 30 I =
1 , LY
YS( I ) = YY( I )
30 CONTINUE
INCYS = INCY
*
*
Call the
subroutine .
*
IF ( FULL )
THEN
IF ( TRACE )
$
WRITE ( NTRA,
FMT =
9993 )NC, SNAME, UPLO, N,
$ ALPHA, INCX, INCY, LDA
IF ( REWI )
$
REWIND NTRA
CALL DSYR2( UPLO, N, ALPHA, XX, INCX, YY, INCY,
$ AA, LDA )
ELSE IF ( PACKED )
THEN
IF ( TRACE )
$
WRITE ( NTRA,
FMT =
9994 )NC, SNAME, UPLO, N,
$ ALPHA, INCX, INCY
IF ( REWI )
$
REWIND NTRA
CALL DSPR2( UPLO, N, ALPHA, XX, INCX, YY, INCY,
$ AA )
END IF
*
* Check
if error-
exit was taken incorrectly.
*
IF ( .NOT.OK )
THEN
WRITE ( NOUT,
FMT =
9992 )
FATAL = .
TRUE .
GO TO 160
END IF
*
* See what
data changed inside subroutines.
*
ISAME(
1 ) = UPLO.EQ.UPLOS
ISAME(
2 ) = NS.EQ.N
ISAME(
3 ) = ALS.EQ.ALPHA
ISAME(
4 ) = LDE( XS, XX, LX )
ISAME(
5 ) = INCXS.EQ.INCX
ISAME(
6 ) = LDE( YS, YY, LY )
ISAME(
7 ) = INCYS.EQ.INCY
IF (
NULL )
THEN
ISAME(
8 ) = LDE( AS, AA, LAA )
ELSE
ISAME(
8 ) = LDERES( SNAME(
2 :
3 ), UPLO, N, N,
$ AS, AA, LDA )
END IF
IF ( .NOT.PACKED )
THEN
ISAME(
9 ) = LDAS.EQ.LDA
END IF
*
*
If data was incorrectly changed, report and
return .
*
SAME = .
TRUE .
DO 40 I =
1 , NARGS
SAME = SAME.AND.ISAME( I )
IF ( .NOT.ISAME( I ) )
$
WRITE ( NOUT,
FMT =
9998 )I
40 CONTINUE
IF ( .NOT.SAME )
THEN
FATAL = .
TRUE .
GO TO 160
END IF
*
IF ( .NOT.
NULL )
THEN
*
* Check the result column by column.
*
IF ( INCX.GT.
0 )
THEN
DO 50 I =
1 , N
Z( I,
1 ) = X( I )
50 CONTINUE
ELSE
DO 60 I =
1 , N
Z( I,
1 ) = X( N - I +
1 )
60 CONTINUE
END IF
IF ( INCY.GT.
0 )
THEN
DO 70 I =
1 , N
Z( I,
2 ) = Y( I )
70 CONTINUE
ELSE
DO 80 I =
1 , N
Z( I,
2 ) = Y( N - I +
1 )
80 CONTINUE
END IF
JA =
1
DO 90 J =
1 , N
W(
1 ) = Z( J,
2 )
W(
2 ) = Z( J,
1 )
IF ( UPPER )
THEN
JJ =
1
LJ = J
ELSE
JJ = J
LJ = N - J +
1
END IF
CALL DMVCH(
'N' , LJ,
2 , ALPHA, Z( JJ,
1 ),
$ NMAX, W,
1 , ONE, A( JJ, J ),
1 ,
$ YT, G, AA( JA ), EPS,
ERR , FATAL,
$ NOUT, .
TRUE . )
IF ( FULL )
THEN
IF ( UPPER )
THEN
JA = JA + LDA
ELSE
JA = JA + LDA +
1
END IF
ELSE
JA = JA + LJ
END IF
ERRMAX = MAX( ERRMAX,
ERR )
*
If got really bad answer, report and
return .
IF ( FATAL )
$
GO TO 150
90 CONTINUE
ELSE
* Avoid repeating tests with N.le.
0 .
IF ( N.LE.
0 )
$
GO TO 140
END IF
*
100 CONTINUE
*
110 CONTINUE
*
120 CONTINUE
*
130 CONTINUE
*
140 CONTINUE
*
* Report result.
*
IF ( ERRMAX.LT.THRESH )
THEN
WRITE ( NOUT,
FMT =
9999 )SNAME, NC
ELSE
WRITE ( NOUT,
FMT =
9997 )SNAME, NC, ERRMAX
END IF
GO TO 170
*
150 CONTINUE
WRITE ( NOUT,
FMT =
9995 )J
*
160 CONTINUE
WRITE ( NOUT,
FMT =
9996 )SNAME
IF ( FULL )
THEN
WRITE ( NOUT,
FMT =
9993 )NC, SNAME, UPLO, N, ALPHA, INCX,
$ INCY, LDA
ELSE IF ( PACKED )
THEN
WRITE ( NOUT,
FMT =
9994 )NC, SNAME, UPLO, N, ALPHA, INCX, INCY
END IF
*
170 CONTINUE
RETURN
*
9999 FORMAT (
' ' , A6,
' PASSED THE COMPUTATIONAL TESTS (' , I6,
' CALL' ,
$
'S)' )
9998 FORMAT (
' ******* FATAL ERROR - PARAMETER NUMBER ' , I2,
' WAS CH' ,
$
'ANGED INCORRECTLY *******' )
9997 FORMAT (
' ' , A6,
' COMPLETED THE COMPUTATIONAL TESTS (' , I6,
' C' ,
$
'ALLS)' , /
' ******* BUT WITH MAXIMUM TEST RATIO' , F8.
2 ,
$
' - SUSPECT *******' )
9996 FORMAT (
' ******* ' , A6,
' FAILED ON CALL NUMBER:' )
9995 FORMAT (
' THESE ARE THE RESULTS FOR COLUMN ' , I3 )
9994 FORMAT (
1 X, I6,
': ' , A6,
'(' '' , A1,
'' ',' , I3,
',' , F4.
1 ,
', X,' ,
$ I2,
', Y,' , I2,
', AP) .' )
9993 FORMAT (
1 X, I6,
': ' , A6,
'(' '' , A1,
'' ',' , I3,
',' , F4.
1 ,
', X,' ,
$ I2,
', Y,' , I2,
', A,' , I3,
') .' )
9992 FORMAT (
' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *' ,
$
'******' )
*
*
End of DCHK6.
*
END
SUBROUTINE DCHKE( ISNUM, SRNAMT, NOUT )
*
* Tests the error exits from the Level
2 Blas.
* Requires a special version of the error-handling routine XERBLA.
* ALPHA, BETA, A, X and Y should not need
to be defined.
*
* Auxiliary routine for test
program for Level
2 Blas.
*
* -- Written on
10 -August-
1987 .
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Scalar Arguments ..
INTEGER ISNUM, NOUT
CHARACTER *
6 SRNAMT
* .. Scalars
in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* .. Local Scalars ..
DOUBLE PRECISION ALPHA, BETA
* .. Local Arrays ..
DOUBLE PRECISION A(
1 ,
1 ), X(
1 ), Y(
1 )
* ..
External Subroutines ..
EXTERNAL CHKXER, DGBMV, DGEMV, DGER, DSBMV, DSPMV, DSPR,
$ DSPR2, DSYMV, DSYR, DSYR2, DTBMV, DTBSV, DTPMV,
$ DTPSV, DTRMV, DTRSV
* ..
Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Executable Statements ..
* OK is set
to .
FALSE . by the special version of XERBLA or by CHKXER
*
if anything is wrong.
OK = .
TRUE .
* LERR is set
to .
TRUE . by the special version of XERBLA each time
* it is called, and is
then tested and re-set by CHKXER.
LERR = .
FALSE .
GO TO (
10 ,
20 ,
30 ,
40 ,
50 ,
60 ,
70 ,
80 ,
$
90 ,
100 ,
110 ,
120 ,
130 ,
140 ,
150 ,
$
160 )ISNUM
10 INFOT =
1
CALL DGEMV(
'/' ,
0 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DGEMV(
'N' , -
1 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
3
CALL DGEMV(
'N' ,
0 , -
1 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
6
CALL DGEMV(
'N' ,
2 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
8
CALL DGEMV(
'N' ,
0 ,
0 , ALPHA, A,
1 , X,
0 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
11
CALL DGEMV(
'N' ,
0 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
20 INFOT =
1
CALL DGBMV(
'/' ,
0 ,
0 ,
0 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DGBMV(
'N' , -
1 ,
0 ,
0 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
3
CALL DGBMV(
'N' ,
0 , -
1 ,
0 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
4
CALL DGBMV(
'N' ,
0 ,
0 , -
1 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
5
CALL DGBMV(
'N' ,
2 ,
0 ,
0 , -
1 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
8
CALL DGBMV(
'N' ,
0 ,
0 ,
1 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
10
CALL DGBMV(
'N' ,
0 ,
0 ,
0 ,
0 , ALPHA, A,
1 , X,
0 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
13
CALL DGBMV(
'N' ,
0 ,
0 ,
0 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
30 INFOT =
1
CALL DSYMV(
'/' ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DSYMV(
'U' , -
1 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
5
CALL DSYMV(
'U' ,
2 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
7
CALL DSYMV(
'U' ,
0 , ALPHA, A,
1 , X,
0 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
10
CALL DSYMV(
'U' ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
40 INFOT =
1
CALL DSBMV(
'/' ,
0 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DSBMV(
'U' , -
1 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
3
CALL DSBMV(
'U' ,
0 , -
1 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
6
CALL DSBMV(
'U' ,
0 ,
1 , ALPHA, A,
1 , X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
8
CALL DSBMV(
'U' ,
0 ,
0 , ALPHA, A,
1 , X,
0 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
11
CALL DSBMV(
'U' ,
0 ,
0 , ALPHA, A,
1 , X,
1 , BETA, Y,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
50 INFOT =
1
CALL DSPMV(
'/' ,
0 , ALPHA, A, X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DSPMV(
'U' , -
1 , ALPHA, A, X,
1 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
6
CALL DSPMV(
'U' ,
0 , ALPHA, A, X,
0 , BETA, Y,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
9
CALL DSPMV(
'U' ,
0 , ALPHA, A, X,
1 , BETA, Y,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
60 INFOT =
1
CALL DTRMV(
'/' ,
'N' ,
'N' ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DTRMV(
'U' ,
'/' ,
'N' ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
3
CALL DTRMV(
'U' ,
'N' ,
'/' ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
4
CALL DTRMV(
'U' ,
'N' ,
'N' , -
1 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
6
CALL DTRMV(
'U' ,
'N' ,
'N' ,
2 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
8
CALL DTRMV(
'U' ,
'N' ,
'N' ,
0 , A,
1 , X,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
70 INFOT =
1
CALL DTBMV(
'/' ,
'N' ,
'N' ,
0 ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DTBMV(
'U' ,
'/' ,
'N' ,
0 ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
3
CALL DTBMV(
'U' ,
'N' ,
'/' ,
0 ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
4
CALL DTBMV(
'U' ,
'N' ,
'N' , -
1 ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
5
CALL DTBMV(
'U' ,
'N' ,
'N' ,
0 , -
1 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
7
CALL DTBMV(
'U' ,
'N' ,
'N' ,
0 ,
1 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
9
CALL DTBMV(
'U' ,
'N' ,
'N' ,
0 ,
0 , A,
1 , X,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
80 INFOT =
1
CALL DTPMV(
'/' ,
'N' ,
'N' ,
0 , A, X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DTPMV(
'U' ,
'/' ,
'N' ,
0 , A, X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
3
CALL DTPMV(
'U' ,
'N' ,
'/' ,
0 , A, X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
4
CALL DTPMV(
'U' ,
'N' ,
'N' , -
1 , A, X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
7
CALL DTPMV(
'U' ,
'N' ,
'N' ,
0 , A, X,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
90 INFOT =
1
CALL DTRSV(
'/' ,
'N' ,
'N' ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DTRSV(
'U' ,
'/' ,
'N' ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
3
CALL DTRSV(
'U' ,
'N' ,
'/' ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
4
CALL DTRSV(
'U' ,
'N' ,
'N' , -
1 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
6
CALL DTRSV(
'U' ,
'N' ,
'N' ,
2 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
8
CALL DTRSV(
'U' ,
'N' ,
'N' ,
0 , A,
1 , X,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
100 INFOT =
1
CALL DTBSV(
'/' ,
'N' ,
'N' ,
0 ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DTBSV(
'U' ,
'/' ,
'N' ,
0 ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
3
CALL DTBSV(
'U' ,
'N' ,
'/' ,
0 ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
4
CALL DTBSV(
'U' ,
'N' ,
'N' , -
1 ,
0 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
5
CALL DTBSV(
'U' ,
'N' ,
'N' ,
0 , -
1 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
7
CALL DTBSV(
'U' ,
'N' ,
'N' ,
0 ,
1 , A,
1 , X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
9
CALL DTBSV(
'U' ,
'N' ,
'N' ,
0 ,
0 , A,
1 , X,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
110 INFOT =
1
CALL DTPSV(
'/' ,
'N' ,
'N' ,
0 , A, X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DTPSV(
'U' ,
'/' ,
'N' ,
0 , A, X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
3
CALL DTPSV(
'U' ,
'N' ,
'/' ,
0 , A, X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
4
CALL DTPSV(
'U' ,
'N' ,
'N' , -
1 , A, X,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
7
CALL DTPSV(
'U' ,
'N' ,
'N' ,
0 , A, X,
0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
120 INFOT =
1
CALL DGER( -
1 ,
0 , ALPHA, X,
1 , Y,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DGER(
0 , -
1 , ALPHA, X,
1 , Y,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
5
CALL DGER(
0 ,
0 , ALPHA, X,
0 , Y,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
7
CALL DGER(
0 ,
0 , ALPHA, X,
1 , Y,
0 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
9
CALL DGER(
2 ,
0 , ALPHA, X,
1 , Y,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
130 INFOT =
1
CALL DSYR(
'/' ,
0 , ALPHA, X,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DSYR(
'U' , -
1 , ALPHA, X,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
5
CALL DSYR(
'U' ,
0 , ALPHA, X,
0 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
7
CALL DSYR(
'U' ,
2 , ALPHA, X,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
140 INFOT =
1
CALL DSPR(
'/' ,
0 , ALPHA, X,
1 , A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DSPR(
'U' , -
1 , ALPHA, X,
1 , A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
5
CALL DSPR(
'U' ,
0 , ALPHA, X,
0 , A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
150 INFOT =
1
CALL DSYR2(
'/' ,
0 , ALPHA, X,
1 , Y,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DSYR2(
'U' , -
1 , ALPHA, X,
1 , Y,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
5
CALL DSYR2(
'U' ,
0 , ALPHA, X,
0 , Y,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
7
CALL DSYR2(
'U' ,
0 , ALPHA, X,
1 , Y,
0 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
9
CALL DSYR2(
'U' ,
2 , ALPHA, X,
1 , Y,
1 , A,
1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 170
160 INFOT =
1
CALL DSPR2(
'/' ,
0 , ALPHA, X,
1 , Y,
1 , A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
2
CALL DSPR2(
'U' , -
1 , ALPHA, X,
1 , Y,
1 , A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
5
CALL DSPR2(
'U' ,
0 , ALPHA, X,
0 , Y,
1 , A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT =
7
CALL DSPR2(
'U' ,
0 , ALPHA, X,
1 , Y,
0 , A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
*
170 IF ( OK )
THEN
WRITE ( NOUT,
FMT =
9999 )SRNAMT
ELSE
WRITE ( NOUT,
FMT =
9998 )SRNAMT
END IF
RETURN
*
9999 FORMAT (
' ' , A6,
' PASSED THE TESTS OF ERROR-EXITS' )
9998 FORMAT (
' ******* ' , A6,
' FAILED THE TESTS OF ERROR-EXITS *****' ,
$
'**' )
*
*
End of DCHKE.
*
END
SUBROUTINE DMAKE(
TYPE , UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
$ KU, RESET, TRANSL )
*
* Generates values for an M by N matrix A within the bandwidth
* defined by KL and KU.
* Stores the values
in the array AA
in the
data structure required
* by the routine, with unwanted elements set
to rogue value.
*
*
TYPE is
'GE' ,
'GB' ,
'SY' ,
'SB' ,
'SP' ,
'TR' ,
'TB' OR
'TP' .
*
* Auxiliary routine for test
program for Level
2 Blas.
*
* -- Written on
10 -August-
1987 .
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, ONE
PARAMETER ( ZERO =
0 .
0 D0, ONE =
1 .
0 D0 )
DOUBLE PRECISION ROGUE
PARAMETER ( ROGUE = -
1 .
0 D10 )
* .. Scalar Arguments ..
DOUBLE PRECISION TRANSL
INTEGER KL, KU, LDA, M, N, NMAX
LOGICAL RESET
CHARACTER *
1 DIAG, UPLO
CHARACTER *
2 TYPE
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, * ), AA( * )
* .. Local Scalars ..
INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, KK
LOGICAL GEN, LOWER, SYM, TRI,
UNIT , UPPER
* ..
External Functions ..
DOUBLE PRECISION DBEG
EXTERNAL DBEG
* ..
Intrinsic Functions ..
INTRINSIC MAX, MIN
* .. Executable Statements ..
GEN =
TYPE (
1 :
1 ).EQ.
'G'
SYM =
TYPE (
1 :
1 ).EQ.
'S'
TRI =
TYPE (
1 :
1 ).EQ.
'T'
UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.
'U'
LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.
'L'
UNIT = TRI.AND.DIAG.EQ.
'U'
*
* Generate
data in array A.
*
DO 20 J =
1 , N
DO 10 I =
1 , M
IF ( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
$
THEN
IF ( ( I.LE.J.AND.J - I.LE.KU ).OR.
$ ( I.GE.J.AND.I - J.LE.KL ) )
THEN
A( I, J ) = DBEG( RESET ) + TRANSL
ELSE
A( I, J ) = ZERO
END IF
IF ( I.NE.J )
THEN
IF ( SYM )
THEN
A( J, I ) = A( I, J )
ELSE IF ( TRI )
THEN
A( J, I ) = ZERO
END IF
END IF
END IF
10 CONTINUE
IF ( TRI )
$ A( J, J ) = A( J, J ) + ONE
IF (
UNIT )
$ A( J, J ) = ONE
20 CONTINUE
*
* Store elements
in array AS
in data structure required by routine.
*
IF (
TYPE .EQ.
'GE' )
THEN
DO 50 J =
1 , N
DO 30 I =
1 , M
AA( I + ( J -
1 )*LDA ) = A( I, J )
30 CONTINUE
DO 40 I = M +
1 , LDA
AA( I + ( J -
1 )*LDA ) = ROGUE
40 CONTINUE
50 CONTINUE
ELSE IF (
TYPE .EQ.
'GB' )
THEN
DO 90 J =
1 , N
DO 60 I1 =
1 , KU +
1 - J
AA( I1 + ( J -
1 )*LDA ) = ROGUE
60 CONTINUE
DO 70 I2 = I1, MIN( KL + KU +
1 , KU +
1 + M - J )
AA( I2 + ( J -
1 )*LDA ) = A( I2 + J - KU -
1 , J )
70 CONTINUE
DO 80 I3 = I2, LDA
AA( I3 + ( J -
1 )*LDA ) = ROGUE
80 CONTINUE
90 CONTINUE
ELSE IF (
TYPE .EQ.
'SY' .OR.
TYPE .EQ.
'TR' )
THEN
DO 130 J =
1 , N
IF ( UPPER )
THEN
IBEG =
1
IF (
UNIT )
THEN
IEND = J -
1
ELSE
IEND = J
END IF
ELSE
IF (
UNIT )
THEN
IBEG = J +
1
ELSE
IBEG = J
END IF
IEND = N
END IF
DO 100 I =
1 , IBEG -
1
AA( I + ( J -
1 )*LDA ) = ROGUE
100 CONTINUE
DO 110 I = IBEG, IEND
AA( I + ( J -
1 )*LDA ) = A( I, J )
110 CONTINUE
DO 120 I = IEND +
1 , LDA
AA( I + ( J -
1 )*LDA ) = ROGUE
120 CONTINUE
130 CONTINUE
ELSE IF (
TYPE .EQ.
'SB' .OR.
TYPE .EQ.
'TB' )
THEN
DO 170 J =
1 , N
IF ( UPPER )
THEN
KK = KL +
1
IBEG = MAX(
1 , KL +
2 - J )
IF (
UNIT )
THEN
IEND = KL
ELSE
IEND = KL +
1
END IF
ELSE
KK =
1
IF (
UNIT )
THEN
IBEG =
2
ELSE
IBEG =
1
END IF
IEND = MIN( KL +
1 ,
1 + M - J )
END IF
DO 140 I =
1 , IBEG -
1
AA( I + ( J -
1 )*LDA ) = ROGUE
140 CONTINUE
DO 150 I = IBEG, IEND
AA( I + ( J -
1 )*LDA ) = A( I + J - KK, J )
150 CONTINUE
DO 160 I = IEND +
1 , LDA
AA( I + ( J -
1 )*LDA ) = ROGUE
160 CONTINUE
170 CONTINUE
ELSE IF (
TYPE .EQ.
'SP' .OR.
TYPE .EQ.
'TP' )
THEN
IOFF =
0
DO 190 J =
1 , N
IF ( UPPER )
THEN
IBEG =
1
IEND = J
ELSE
IBEG = J
IEND = N
END IF
DO 180 I = IBEG, IEND
IOFF = IOFF +
1
AA( IOFF ) = A( I, J )
IF ( I.EQ.J )
THEN
IF (
UNIT )
$ AA( IOFF ) = ROGUE
END IF
180 CONTINUE
190 CONTINUE
END IF
RETURN
*
*
End of DMAKE.
*
END
SUBROUTINE DMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
$ INCY, YT, G, YY, EPS,
ERR , FATAL, NOUT, MV )
*
* Checks the results of the computational tests.
*
* Auxiliary routine for test
program for Level
2 Blas.
*
* -- Written on
10 -August-
1987 .
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Parameters ..
DOUBLE PRECISION ZERO, ONE
PARAMETER ( ZERO =
0 .
0 D0, ONE =
1 .
0 D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION ALPHA, BETA, EPS,
ERR
INTEGER INCX, INCY, M, N, NMAX, NOUT
LOGICAL FATAL, MV
CHARACTER *
1 TRANS
* .. Array Arguments ..
DOUBLE PRECISION A( NMAX, * ), G( * ), X( * ), Y( * ), YT( * ),
$ YY( * )
* .. Local Scalars ..
DOUBLE PRECISION ERRI
INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
LOGICAL TRAN
* ..
Intrinsic Functions ..
INTRINSIC ABS, MAX, SQRT
* .. Executable Statements ..
TRAN = TRANS.EQ.
'T' .OR.TRANS.EQ.
'C'
IF ( TRAN )
THEN
ML = N
NL = M
ELSE
ML = M
NL = N
END IF
IF ( INCX.LT.
0 )
THEN
KX = NL
INCXL = -
1
ELSE
KX =
1
INCXL =
1
END IF
IF ( INCY.LT.
0 )
THEN
KY = ML
INCYL = -
1
ELSE
KY =
1
INCYL =
1
END IF
*
* Compute expected result
in YT using
data in A, X and Y.
* Compute gauges
in G.
*
IY = KY
DO 30 I =
1 , ML
YT( IY ) = ZERO
G( IY ) = ZERO
JX = KX
IF ( TRAN )
THEN
DO 10 J =
1 , NL
YT( IY ) = YT( IY ) + A( J, I )*X( JX )
G( IY ) = G( IY ) + ABS( A( J, I )*X( JX ) )
JX = JX + INCXL
10 CONTINUE
ELSE
DO 20 J =
1 , NL
YT( IY ) = YT( IY ) + A( I, J )*X( JX )
G( IY ) = G( IY ) + ABS( A( I, J )*X( JX ) )
JX = JX + INCXL
20 CONTINUE
END IF
YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
G( IY ) = ABS( ALPHA )*G( IY ) + ABS( BETA*Y( IY ) )
IY = IY + INCYL
30 CONTINUE
*
* Compute the error ratio for this result.
*
ERR = ZERO
DO 40 I =
1 , ML
ERRI = ABS( YT( I ) - YY(
1 + ( I -
1 )*ABS( INCY ) ) )/EPS
IF ( G( I ).NE.ZERO )
$ ERRI = ERRI/G( I )
ERR = MAX(
ERR , ERRI )
IF (
ERR *SQRT( EPS ).GE.ONE )
$
GO TO 50
40 CONTINUE
*
If the loop completes, all results are at least half accurate.
GO TO 70
*
* Report fatal error.
*
50 FATAL = .
TRUE .
WRITE ( NOUT,
FMT =
9999 )
DO 60 I =
1 , ML
IF ( MV )
THEN
WRITE ( NOUT,
FMT =
9998 )I, YT( I ),
$ YY(
1 + ( I -
1 )*ABS( INCY ) )
ELSE
WRITE ( NOUT,
FMT =
9998 )I,
$ YY(
1 + ( I -
1 )*ABS( INCY ) ), YT( I )
END IF
60 CONTINUE
*
70 CONTINUE
RETURN
*
9999 FORMAT (
' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL' ,
$
'F ACCURATE *******' , /
' EXPECTED RESULT COMPU' ,
$
'TED RESULT' )
9998 FORMAT (
1 X, I7,
2 G18.
6 )
*
*
End of DMVCH.
*
END
LOGICAL FUNCTION LDE( RI, RJ, LR )
*
* Tests
if two arrays are identical.
*
* Auxiliary routine for test
program for Level
2 Blas.
*
* -- Written on
10 -August-
1987 .
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Scalar Arguments ..
INTEGER LR
* .. Array Arguments ..
DOUBLE PRECISION RI( * ), RJ( * )
* .. Local Scalars ..
INTEGER I
* .. Executable Statements ..
DO 10 I =
1 , LR
IF ( RI( I ).NE.RJ( I ) )
$
GO TO 20
10 CONTINUE
LDE = .
TRUE .
GO TO 30
20 CONTINUE
LDE = .
FALSE .
30 RETURN
*
*
End of LDE.
*
END
LOGICAL FUNCTION LDERES(
TYPE , UPLO, M, N, AA, AS, LDA )
*
* Tests
if selected elements
in two arrays are equal.
*
*
TYPE is
'GE' ,
'SY' or
'SP' .
*
* Auxiliary routine for test
program for Level
2 Blas.
*
* -- Written on
10 -August-
1987 .
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Scalar Arguments ..
INTEGER LDA, M, N
CHARACTER *
1 UPLO
CHARACTER *
2 TYPE
* .. Array Arguments ..
DOUBLE PRECISION AA( LDA, * ), AS( LDA, * )
* .. Local Scalars ..
INTEGER I, IBEG, IEND, J
LOGICAL UPPER
* .. Executable Statements ..
UPPER = UPLO.EQ.
'U'
IF (
TYPE .EQ.
'GE' )
THEN
DO 20 J =
1 , N
DO 10 I = M +
1 , LDA
IF ( AA( I, J ).NE.AS( I, J ) )
$
GO TO 70
10 CONTINUE
20 CONTINUE
ELSE IF (
TYPE .EQ.
'SY' )
THEN
DO 50 J =
1 , N
IF ( UPPER )
THEN
IBEG =
1
IEND = J
ELSE
IBEG = J
IEND = N
END IF
DO 30 I =
1 , IBEG -
1
IF ( AA( I, J ).NE.AS( I, J ) )
$
GO TO 70
30 CONTINUE
DO 40 I = IEND +
1 , LDA
IF ( AA( I, J ).NE.AS( I, J ) )
$
GO TO 70
40 CONTINUE
50 CONTINUE
END IF
*
LDERES = .
TRUE .
GO TO 80
70 CONTINUE
LDERES = .
FALSE .
80 RETURN
*
*
End of LDERES.
*
END
DOUBLE PRECISION FUNCTION DBEG( RESET )
*
* Generates random numbers uniformly distributed between -
0 .
5 and
0 .
5 .
*
* Auxiliary routine for test
program for Level
2 Blas.
*
* -- Written on
10 -August-
1987 .
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Scalar Arguments ..
LOGICAL RESET
* .. Local Scalars ..
INTEGER I, IC, MI
* ..
Save statement ..
SAVE I, IC, MI
* ..
Intrinsic Functions ..
INTRINSIC DBLE
* .. Executable Statements ..
IF ( RESET )
THEN
* Initialize local variables.
MI =
891
I =
7
IC =
0
RESET = .
FALSE .
END IF
*
* The
sequence of values of I is bounded between
1 and
999 .
*
If initial I =
1 ,
2 ,
3 ,
6 ,
7 or
9 , the period will be
50 .
*
If initial I =
4 or
8 , the period will be
25 .
*
If initial I =
5 , the period will be
10 .
* IC is used
to break up the period by skipping
1 value of I
in 6 .
*
IC = IC +
1
10 I = I*MI
I = I -
1000 *( I/
1000 )
IF ( IC.GE.
5 )
THEN
IC =
0
GO TO 10
END IF
DBEG = DBLE( I -
500 )/
1001 .
0 D0
RETURN
*
*
End of DBEG.
*
END
DOUBLE PRECISION FUNCTION DDIFF( X, Y )
*
* Auxiliary routine for test
program for Level
2 Blas.
*
* -- Written on
10 -August-
1987 .
* Richard Hanson, Sandia National Labs.
*
* .. Scalar Arguments ..
DOUBLE PRECISION X, Y
* .. Executable Statements ..
DDIFF = X - Y
RETURN
*
*
End of DDIFF.
*
END
SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
*
* Tests whether XERBLA has detected an error when it should.
*
* Auxiliary routine for test
program for Level
2 Blas.
*
* -- Written on
10 -August-
1987 .
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Scalar Arguments ..
INTEGER INFOT, NOUT
LOGICAL LERR, OK
CHARACTER *
6 SRNAMT
* .. Executable Statements ..
IF ( .NOT.LERR )
THEN
WRITE ( NOUT,
FMT =
9999 )INFOT, SRNAMT
OK = .
FALSE .
END IF
LERR = .
FALSE .
RETURN
*
9999 FORMAT (
' ***** ILLEGAL VALUE OF PARAMETER NUMBER ' , I2,
' NOT D' ,
$
'ETECTED BY ' , A6,
' *****' )
*
*
End of CHKXER.
*
END
SUBROUTINE XERBLA( SRNAME, INFO )
*
* This is a special version of XERBLA
to be used only as part of
* the test
program for testing error exits from the Level
2 BLAS
* routines.
*
* XERBLA is an error handler for the Level
2 BLAS routines.
*
* It is called by the Level
2 BLAS routines
if an input
parameter is
* invalid.
*
* Auxiliary routine for test
program for Level
2 Blas.
*
* -- Written on
10 -August-
1987 .
* Richard Hanson, Sandia National Labs.
* Jeremy Du Croz, NAG Central Office.
*
* .. Scalar Arguments ..
INTEGER INFO
CHARACTER *
6 SRNAME
* .. Scalars
in Common ..
INTEGER INFOT, NOUT
LOGICAL LERR, OK
CHARACTER *
6 SRNAMT
* ..
Common blocks ..
COMMON /INFOC/INFOT, NOUT, OK, LERR
COMMON /SRNAMC/SRNAMT
* .. Executable Statements ..
LERR = .
TRUE .
IF ( INFO.NE.INFOT )
THEN
IF ( INFOT.NE.
0 )
THEN
WRITE ( NOUT,
FMT =
9999 )INFO, INFOT
ELSE
WRITE ( NOUT,
FMT =
9997 )INFO
END IF
OK = .
FALSE .
END IF
IF ( SRNAME.NE.SRNAMT )
THEN
WRITE ( NOUT,
FMT =
9998 )SRNAME, SRNAMT
OK = .
FALSE .
END IF
RETURN
*
9999 FORMAT (
' ******* XERBLA WAS CALLED WITH INFO = ' , I6,
' INSTEAD' ,
$
' OF ' , I2,
' *******' )
9998 FORMAT (
' ******* XERBLA WAS CALLED WITH SRNAME = ' , A6,
' INSTE' ,
$
'AD OF ' , A6,
' *******' )
9997 FORMAT (
' ******* XERBLA WAS CALLED WITH INFO = ' , I6,
$
' *******' )
*
*
End of XERBLA
*
END
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