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lapack/BLAS/TESTING/cblat2.f
T
NAKATA Maho ac82605ea9 refactor: rename ABS1 statement function to CABS1 for consistency 
Several LAPACK, BLAS, and CBLAS source files defined a local statement
function named ABS1 for the complex 1-norm approximation:

    ABS1( X ) = ABS( REAL( X ) ) + ABS( AIMAG( X ) )
    ABS1( X ) = ABS( DBLE( X ) ) + ABS( DIMAG( X ) )

The majority of the codebase already uses CABS1 for this identical
purpose. This commit renames ABS1 to CABS1 in all remaining files
(definition line, declaration line, and all call sites within the
same file) to make the naming consistent across the repository.

A small number of fixed-form lines required continuation-line splits
to stay within the 72-column limit after the rename.

No numerical change. Statement functions are file-local in Fortran,
so there is no ABI or interface impact.

This is a preparatory cleanup before inlining these statement
functions (see issue #1200).
2026-03-28 14:46:42 +09:00

3355 lines
116 KiB
FortranFixed
Raw Blame History

*> \brief \b CBLAT2
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* PROGRAM CBLAT2
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> Test program for the COMPLEX 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 17 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 35 lines:
*> 'cblat2.out' NAME OF SUMMARY OUTPUT FILE
*> 6 UNIT NUMBER OF SUMMARY FILE
*> 'CBLA2T.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
*> (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA
*> 3 NUMBER OF VALUES OF BETA
*> (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA
*> CGEMV T PUT F FOR NO TEST. SAME COLUMNS.
*> CGBMV T PUT F FOR NO TEST. SAME COLUMNS.
*> CHEMV T PUT F FOR NO TEST. SAME COLUMNS.
*> CHBMV T PUT F FOR NO TEST. SAME COLUMNS.
*> CHPMV T PUT F FOR NO TEST. SAME COLUMNS.
*> CTRMV T PUT F FOR NO TEST. SAME COLUMNS.
*> CTBMV T PUT F FOR NO TEST. SAME COLUMNS.
*> CTPMV T PUT F FOR NO TEST. SAME COLUMNS.
*> CTRSV T PUT F FOR NO TEST. SAME COLUMNS.
*> CTBSV T PUT F FOR NO TEST. SAME COLUMNS.
*> CTPSV T PUT F FOR NO TEST. SAME COLUMNS.
*> CGERC T PUT F FOR NO TEST. SAME COLUMNS.
*> CGERU T PUT F FOR NO TEST. SAME COLUMNS.
*> CHER T PUT F FOR NO TEST. SAME COLUMNS.
*> CHPR T PUT F FOR NO TEST. SAME COLUMNS.
*> CHER2 T PUT F FOR NO TEST. SAME COLUMNS.
*> CHPR2 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.
*
*> \ingroup complex_blas_testing
*
* =====================================================================
PROGRAM CBLAT2
IMPLICIT NONE
*
* -- Reference BLAS test routine --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*
* =====================================================================
*
* .. Parameters ..
INTEGER NIN
PARAMETER ( NIN = 5 )
INTEGER NSUBS
PARAMETER ( NSUBS = 17 )
COMPLEX ZERO, ONE
PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) )
REAL RZERO
PARAMETER ( RZERO = 0.0 )
INTEGER NMAX, INCMAX
PARAMETER ( NMAX = 65, INCMAX = 2 )
INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
$ NALMAX = 7, NBEMAX = 7 )
* .. Local Scalars ..
REAL EPS, ERR, THRESH
INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
$ NOUT, NTRA
LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
$ TSTERR
CHARACTER*1 TRANS
CHARACTER*6 SNAMET
CHARACTER*32 SNAPS, SUMMRY
* .. Local Arrays ..
COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ),
$ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
$ X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( 2*NMAX )
REAL G( NMAX )
INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
LOGICAL LTEST( NSUBS )
CHARACTER*6 SNAMES( NSUBS )
* .. External Functions ..
REAL SDIFF
LOGICAL LCE
EXTERNAL SDIFF, LCE
* .. External Subroutines ..
EXTERNAL CCHK1, CCHK2, CCHK3, CCHK4, CCHK5, CCHK6,
$ CCHKE, CMVCH
* .. 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/'CGEMV ', 'CGBMV ', 'CHEMV ', 'CHBMV ',
$ 'CHPMV ', 'CTRMV ', 'CTBMV ', 'CTPMV ',
$ 'CTRSV ', 'CTBSV ', 'CTPSV ', 'CGERC ',
$ 'CGERU ', 'CHER ', 'CHPR ', 'CHER2 ',
$ 'CHPR2 '/
* .. 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(RZERO)
WRITE( NOUT, FMT = 9998 )EPS
*
* Check the reliability of CMVCH 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 CMVCH YT holds
* the result computed by CMVCH.
TRANS = 'N'
CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
$ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
SAME = LCE( YY, YT, N )
IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
STOP
END IF
TRANS = 'T'
CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
$ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
SAME = LCE( YY, YT, N )
IF( .NOT.SAME.OR.ERR.NE.RZERO )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 CCHKE( 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, 170, 180,
$ 180, 190, 190 )ISNUM
* Test CGEMV, 01, and CGBMV, 02.
140 CALL CCHK1( 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 CHEMV, 03, CHBMV, 04, and CHPMV, 05.
150 CALL CCHK2( 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 CTRMV, 06, CTBMV, 07, CTPMV, 08,
* CTRSV, 09, CTBSV, 10, and CTPSV, 11.
160 CALL CCHK3( 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 CGERC, 12, CGERU, 13.
170 CALL CCHK4( 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 CHER, 14, and CHPR, 15.
180 CALL CCHK5( 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 CHER2, 16, and CHPR2, 17.
190 CALL CCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
$ YT, G, Z )
*
200 IF( FATAL.AND.SFATAL )
$ GO TO 220
END IF
210 CONTINUE
WRITE( NOUT, FMT = 9982 )
GO TO 240
*
220 CONTINUE
WRITE( NOUT, FMT = 9981 )
GO TO 240
*
230 CONTINUE
WRITE( NOUT, FMT = 9987 )
*
240 CONTINUE
IF( TRACE )
$ CLOSE ( NTRA )
CLOSE ( NOUT )
STOP
*
9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
$ 'S THAN', F8.2 )
9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 )
9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
$ 'THAN ', I2 )
9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
9995 FORMAT( ' VALUE OF K IS LESS THAN 0' )
9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
$ I2 )
9993 FORMAT( ' TESTS OF THE COMPLEX 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 ',
$ 7( '(', F4.1, ',', F4.1, ') ', : ) )
9988 FORMAT( ' FOR BETA ',
$ 7( '(', F4.1, ',', F4.1, ') ', : ) )
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 CMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
$ 'ATED WRONGLY.', /' CMVCH 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 CBLAT2
*
END
SUBROUTINE CCHK1( 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 )
IMPLICIT NONE
*
* Tests CGEMV and CGBMV.
*
* 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 ..
COMPLEX ZERO, HALF
PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ) )
REAL RZERO
PARAMETER ( RZERO = 0.0 )
* .. Scalar Arguments ..
REAL EPS, THRESH
INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
$ NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX )
REAL G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
COMPLEX ALPHA, ALS, BETA, BLS, TRANSL
REAL ERR, ERRMAX
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 LCE, LCERES
EXTERNAL LCE, LCERES
* .. External Subroutines ..
EXTERNAL CGBMV, CGEMV, CMAKE, CMVCH, CREGR1
* .. 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 = RZERO
*
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 CMAKE( 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 CMAKE( '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 CMAKE( '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 CGEMV( 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 CGBMV( 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 ) = LCE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
ISAME( 7 ) = LCE( XS, XX, LX )
ISAME( 8 ) = INCXS.EQ.INCX
ISAME( 9 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 10 ) = LCE( YS, YY, LY )
ELSE
ISAME( 10 ) = LCERES( '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 ) = LCE( AS, AA, LAA )
ISAME( 8 ) = LDAS.EQ.LDA
ISAME( 9 ) = LCE( XS, XX, LX )
ISAME( 10 ) = INCXS.EQ.INCX
ISAME( 11 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 12 ) = LCE( YS, YY, LY )
ELSE
ISAME( 12 ) = LCERES( '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 CMVCH( 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
*
* Regression test to verify preservation of y when m zero, n nonzero.
*
CALL CREGR1( TRANS, M, N, LY, KL, KU, ALPHA, AA, LDA, XX, INCX,
$ BETA, YY, INCY, YS )
IF( FULL )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, TRANS, M, N, ALPHA, LDA,
$ INCX, BETA, INCY
IF( REWI )
$ REWIND NTRA
CALL CGEMV( 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 CGBMV( TRANS, M, N, KL, KU, ALPHA, AA, LDA, XX, INCX,
$ BETA, YY, INCY )
END IF
NC = NC + 1
IF( .NOT.LCE( YS, YY, LY ) )THEN
WRITE( NOUT, FMT = 9998 )NARGS - 1
FATAL = .TRUE.
GO TO 130
END IF
*
* 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, ',', F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',',
$ F4.1, '), Y,', I2, ') .' )
9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), '(',
$ F4.1, ',', F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',',
$ F4.1, '), Y,', I2, ') .' )
9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of CCHK1
*
END
SUBROUTINE CCHK2( 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 )
IMPLICIT NONE
*
* Tests CHEMV, CHBMV and CHPMV.
*
* 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 ..
COMPLEX ZERO, HALF
PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ) )
REAL RZERO
PARAMETER ( RZERO = 0.0 )
* .. Scalar Arguments ..
REAL EPS, THRESH
INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
$ NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX )
REAL G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
COMPLEX ALPHA, ALS, BETA, BLS, TRANSL
REAL ERR, ERRMAX
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 LCE, LCERES
EXTERNAL LCE, LCERES
* .. External Subroutines ..
EXTERNAL CHBMV, CHEMV, CHPMV, CMAKE, CMVCH
* .. 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.'E'
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 = RZERO
*
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 CMAKE( 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 CMAKE( '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 CMAKE( '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 CHEMV( 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 CHBMV( 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 CHPMV( 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 ) = LCE( AS, AA, LAA )
ISAME( 5 ) = LDAS.EQ.LDA
ISAME( 6 ) = LCE( XS, XX, LX )
ISAME( 7 ) = INCXS.EQ.INCX
ISAME( 8 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 9 ) = LCE( YS, YY, LY )
ELSE
ISAME( 9 ) = LCERES( '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 ) = LCE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
ISAME( 7 ) = LCE( XS, XX, LX )
ISAME( 8 ) = INCXS.EQ.INCX
ISAME( 9 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 10 ) = LCE( YS, YY, LY )
ELSE
ISAME( 10 ) = LCERES( '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 ) = LCE( AS, AA, LAA )
ISAME( 5 ) = LCE( XS, XX, LX )
ISAME( 6 ) = INCXS.EQ.INCX
ISAME( 7 ) = BLS.EQ.BETA
IF( NULL )THEN
ISAME( 8 ) = LCE( YS, YY, LY )
ELSE
ISAME( 8 ) = LCERES( '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 CMVCH( '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, ',',
$ F4.1, '), AP, X,', I2, ',(', F4.1, ',', F4.1, '), Y,', I2,
$ ') .' )
9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 2( I3, ',' ), '(',
$ F4.1, ',', F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',',
$ F4.1, '), Y,', I2, ') .' )
9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',',
$ F4.1, '), A,', I3, ', X,', I2, ',(', F4.1, ',', F4.1, '), ',
$ 'Y,', I2, ') .' )
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of CCHK2
*
END
SUBROUTINE CCHK3( 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 )
IMPLICIT NONE
*
* Tests CTRMV, CTBMV, CTPMV, CTRSV, CTBSV and CTPSV.
*
* 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 ..
COMPLEX ZERO, HALF, ONE
PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
$ ONE = ( 1.0, 0.0 ) )
REAL RZERO
PARAMETER ( RZERO = 0.0 )
* .. Scalar Arguments ..
REAL EPS, THRESH
INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ),
$ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX )
REAL G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
* .. Local Scalars ..
COMPLEX TRANSL
REAL ERR, ERRMAX
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 LCE, LCERES
EXTERNAL LCE, LCERES
* .. External Subroutines ..
EXTERNAL CMAKE, CMVCH, CTBMV, CTBSV, CTPMV, CTPSV,
$ CTRMV, CTRSV
* .. 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 = RZERO
* Set up zero vector for CMVCH.
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 CMAKE( 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 CMAKE( '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 CTRMV( 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 CTBMV( 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 CTPMV( 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 CTRSV( 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 CTBSV( 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 CTPSV( 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 ) = LCE( AS, AA, LAA )
ISAME( 6 ) = LDAS.EQ.LDA
IF( NULL )THEN
ISAME( 7 ) = LCE( XS, XX, LX )
ELSE
ISAME( 7 ) = LCERES( '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 ) = LCE( AS, AA, LAA )
ISAME( 7 ) = LDAS.EQ.LDA
IF( NULL )THEN
ISAME( 8 ) = LCE( XS, XX, LX )
ELSE
ISAME( 8 ) = LCERES( 'GE', ' ', 1, N, XS,
$ XX, ABS( INCX ) )
END IF
ISAME( 9 ) = INCXS.EQ.INCX
ELSE IF( PACKED )THEN
ISAME( 5 ) = LCE( AS, AA, LAA )
IF( NULL )THEN
ISAME( 6 ) = LCE( XS, XX, LX )
ELSE
ISAME( 6 ) = LCERES( '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 CMVCH( 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 CMVCH( 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 CCHK3
*
END
SUBROUTINE CCHK4( 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 )
IMPLICIT NONE
*
* Tests CGERC and CGERU.
*
* 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 ..
COMPLEX ZERO, HALF, ONE
PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
$ ONE = ( 1.0, 0.0 ) )
REAL RZERO
PARAMETER ( RZERO = 0.0 )
* .. Scalar Arguments ..
REAL EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX )
REAL G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
COMPLEX ALPHA, ALS, TRANSL
REAL ERR, ERRMAX
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 CONJ, NULL, RESET, SAME
* .. Local Arrays ..
COMPLEX W( 1 )
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LCE, LCERES
EXTERNAL LCE, LCERES
* .. External Subroutines ..
EXTERNAL CGERC, CGERU, CMAKE, CMVCH
* .. Intrinsic Functions ..
INTRINSIC ABS, CONJG, MAX, MIN
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Executable Statements ..
CONJ = SNAME( 5: 5 ).EQ.'C'
* Define the number of arguments.
NARGS = 9
*
NC = 0
RESET = .TRUE.
ERRMAX = RZERO
*
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 CMAKE( '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 CMAKE( '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 CMAKE( 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( CONJ )THEN
IF( REWI )
$ REWIND NTRA
CALL CGERC( M, N, ALPHA, XX, INCX, YY, INCY, AA,
$ LDA )
ELSE
IF( REWI )
$ REWIND NTRA
CALL CGERU( M, N, ALPHA, XX, INCX, YY, INCY, AA,
$ LDA )
END IF
*
* 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 ) = LCE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
ISAME( 6 ) = LCE( YS, YY, LY )
ISAME( 7 ) = INCYS.EQ.INCY
IF( NULL )THEN
ISAME( 8 ) = LCE( AS, AA, LAA )
ELSE
ISAME( 8 ) = LCERES( '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
IF( CONJ )
$ W( 1 ) = CONJG( W( 1 ) )
CALL CMVCH( '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, ',', F4.1,
$ '), X,', I2, ', Y,', I2, ', A,', I3, ') ',
$ ' .' )
9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of CCHK4
*
END
SUBROUTINE CCHK5( 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 )
IMPLICIT NONE
*
* Tests CHER and CHPR.
*
* 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 ..
COMPLEX ZERO, HALF, ONE
PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
$ ONE = ( 1.0, 0.0 ) )
REAL RZERO
PARAMETER ( RZERO = 0.0 )
* .. Scalar Arguments ..
REAL EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX )
REAL G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
COMPLEX ALPHA, TRANSL
REAL ERR, ERRMAX, RALPHA, RALS
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 ..
COMPLEX W( 1 )
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LCE, LCERES
EXTERNAL LCE, LCERES
* .. External Subroutines ..
EXTERNAL CHER, CHPR, CMAKE, CMVCH
* .. Intrinsic Functions ..
INTRINSIC ABS, CMPLX, CONJG, MAX, REAL
* .. 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.'E'
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 = RZERO
*
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 CMAKE( '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
RALPHA = REAL( ALF( IA ) )
ALPHA = CMPLX( RALPHA, RZERO )
NULL = N.LE.0.OR.RALPHA.EQ.RZERO
*
* Generate the matrix A.
*
TRANSL = ZERO
CALL CMAKE( 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
RALS = RALPHA
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,
$ RALPHA, INCX, LDA
IF( REWI )
$ REWIND NTRA
CALL CHER( UPLO, N, RALPHA, XX, INCX, AA, LDA )
ELSE IF( PACKED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N,
$ RALPHA, INCX
IF( REWI )
$ REWIND NTRA
CALL CHPR( UPLO, N, RALPHA, 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 ) = RALS.EQ.RALPHA
ISAME( 4 ) = LCE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
IF( NULL )THEN
ISAME( 6 ) = LCE( AS, AA, LAA )
ELSE
ISAME( 6 ) = LCERES( 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 ) = CONJG( Z( J ) )
IF( UPPER )THEN
JJ = 1
LJ = J
ELSE
JJ = J
LJ = N - J + 1
END IF
CALL CMVCH( '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, RALPHA, INCX, LDA
ELSE IF( PACKED )THEN
WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, RALPHA, INCX
END IF
*
130 CONTINUE
RETURN
*
9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
$ 'S)' )
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
$ 'ANGED INCORRECTLY *******' )
9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' )
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,',
$ I2, ', AP) .' )
9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,',
$ I2, ', A,', I3, ') .' )
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of CCHK5
*
END
SUBROUTINE CCHK6( 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 )
IMPLICIT NONE
*
* Tests CHER2 and CHPR2.
*
* 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 ..
COMPLEX ZERO, HALF, ONE
PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
$ ONE = ( 1.0, 0.0 ) )
REAL RZERO
PARAMETER ( RZERO = 0.0 )
* .. Scalar Arguments ..
REAL EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX, 2 )
REAL G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
COMPLEX ALPHA, ALS, TRANSL
REAL ERR, ERRMAX
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 ..
COMPLEX W( 2 )
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LCE, LCERES
EXTERNAL LCE, LCERES
* .. External Subroutines ..
EXTERNAL CHER2, CHPR2, CMAKE, CMVCH
* .. Intrinsic Functions ..
INTRINSIC ABS, CONJG, 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.'E'
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 = RZERO
*
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 CMAKE( '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 CMAKE( '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 CMAKE( 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 CHER2( 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 CHPR2( 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 ) = LCE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
ISAME( 6 ) = LCE( YS, YY, LY )
ISAME( 7 ) = INCYS.EQ.INCY
IF( NULL )THEN
ISAME( 8 ) = LCE( AS, AA, LAA )
ELSE
ISAME( 8 ) = LCERES( 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 ) = ALPHA*CONJG( Z( J, 2 ) )
W( 2 ) = CONJG( ALPHA )*CONJG( Z( J, 1 ) )
IF( UPPER )THEN
JJ = 1
LJ = J
ELSE
JJ = J
LJ = N - J + 1
END IF
CALL CMVCH( 'N', LJ, 2, ONE, Z( JJ, 1 ),
$ NMAX, W, 1, ONE, A( JJ, J ), 1,
$ YT, G, AA( JA ), EPS, ERR, FATAL,
$ NOUT, .TRUE. )
IF( FULL )THEN
IF( UPPER )THEN
JA = JA + LDA
ELSE
JA = JA + LDA + 1
END IF
ELSE
JA = JA + LJ
END IF
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and return.
IF( FATAL )
$ GO TO 150
90 CONTINUE
ELSE
* Avoid repeating tests with N.le.0.
IF( N.LE.0 )
$ GO TO 140
END IF
*
100 CONTINUE
*
110 CONTINUE
*
120 CONTINUE
*
130 CONTINUE
*
140 CONTINUE
*
* Report result.
*
IF( ERRMAX.LT.THRESH )THEN
WRITE( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
END IF
GO TO 170
*
150 CONTINUE
WRITE( NOUT, FMT = 9995 )J
*
160 CONTINUE
WRITE( NOUT, FMT = 9996 )SNAME
IF( FULL )THEN
WRITE( NOUT, FMT = 9993 )NC, SNAME, UPLO, N, ALPHA, INCX,
$ INCY, LDA
ELSE IF( PACKED )THEN
WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX, INCY
END IF
*
170 CONTINUE
RETURN
*
9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
$ 'S)' )
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
$ 'ANGED INCORRECTLY *******' )
9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' )
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',',
$ F4.1, '), X,', I2, ', Y,', I2, ', AP) ',
$ ' .' )
9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',',
$ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') ',
$ ' .' )
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of CCHK6
*
END
SUBROUTINE CCHKE( ISNUM, SRNAMT, NOUT )
IMPLICIT NONE
*
* Tests the error exits from the Level 2 Blas.
* Requires a special version of the error-handling routine XERBLA.
* ALPHA, RALPHA, 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 ..
COMPLEX ALPHA, BETA
REAL RALPHA
* .. Local Arrays ..
COMPLEX A( 1, 1 ), X( 1 ), Y( 1 )
* .. External Subroutines ..
EXTERNAL CGBMV, CGEMV, CGERC, CGERU, CHBMV, CHEMV, CHER,
$ CHER2, CHKXER, CHPMV, CHPR, CHPR2, CTBMV,
$ CTBSV, CTPMV, CTPSV, CTRMV, CTRSV
* .. 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,
$ 170 )ISNUM
10 INFOT = 1
CALL CGEMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CGEMV( 'N', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL CGEMV( 'N', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6
CALL CGEMV( 'N', 2, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8
CALL CGEMV( 'N', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 11
CALL CGEMV( 'N', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
20 INFOT = 1
CALL CGBMV( '/', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CGBMV( 'N', -1, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL CGBMV( 'N', 0, -1, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL CGBMV( 'N', 0, 0, -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL CGBMV( 'N', 2, 0, 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8
CALL CGBMV( 'N', 0, 0, 1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 10
CALL CGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 13
CALL CGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
30 INFOT = 1
CALL CHEMV( '/', 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CHEMV( 'U', -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL CHEMV( 'U', 2, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL CHEMV( 'U', 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 10
CALL CHEMV( 'U', 0, ALPHA, A, 1, X, 1, BETA, Y, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
40 INFOT = 1
CALL CHBMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CHBMV( 'U', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL CHBMV( 'U', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6
CALL CHBMV( 'U', 0, 1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8
CALL CHBMV( 'U', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 11
CALL CHBMV( 'U', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
50 INFOT = 1
CALL CHPMV( '/', 0, ALPHA, A, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CHPMV( 'U', -1, ALPHA, A, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6
CALL CHPMV( 'U', 0, ALPHA, A, X, 0, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL CHPMV( 'U', 0, ALPHA, A, X, 1, BETA, Y, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
60 INFOT = 1
CALL CTRMV( '/', 'N', 'N', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CTRMV( 'U', '/', 'N', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL CTRMV( 'U', 'N', '/', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL CTRMV( 'U', 'N', 'N', -1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6
CALL CTRMV( 'U', 'N', 'N', 2, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8
CALL CTRMV( 'U', 'N', 'N', 0, A, 1, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
70 INFOT = 1
CALL CTBMV( '/', 'N', 'N', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CTBMV( 'U', '/', 'N', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL CTBMV( 'U', 'N', '/', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL CTBMV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL CTBMV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL CTBMV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL CTBMV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
80 INFOT = 1
CALL CTPMV( '/', 'N', 'N', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CTPMV( 'U', '/', 'N', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL CTPMV( 'U', 'N', '/', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL CTPMV( 'U', 'N', 'N', -1, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL CTPMV( 'U', 'N', 'N', 0, A, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
90 INFOT = 1
CALL CTRSV( '/', 'N', 'N', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CTRSV( 'U', '/', 'N', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL CTRSV( 'U', 'N', '/', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL CTRSV( 'U', 'N', 'N', -1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6
CALL CTRSV( 'U', 'N', 'N', 2, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8
CALL CTRSV( 'U', 'N', 'N', 0, A, 1, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
100 INFOT = 1
CALL CTBSV( '/', 'N', 'N', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CTBSV( 'U', '/', 'N', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL CTBSV( 'U', 'N', '/', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL CTBSV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL CTBSV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL CTBSV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL CTBSV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
110 INFOT = 1
CALL CTPSV( '/', 'N', 'N', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CTPSV( 'U', '/', 'N', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL CTPSV( 'U', 'N', '/', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL CTPSV( 'U', 'N', 'N', -1, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL CTPSV( 'U', 'N', 'N', 0, A, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
120 INFOT = 1
CALL CGERC( -1, 0, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CGERC( 0, -1, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL CGERC( 0, 0, ALPHA, X, 0, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL CGERC( 0, 0, ALPHA, X, 1, Y, 0, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL CGERC( 2, 0, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
130 INFOT = 1
CALL CGERU( -1, 0, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CGERU( 0, -1, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL CGERU( 0, 0, ALPHA, X, 0, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL CGERU( 0, 0, ALPHA, X, 1, Y, 0, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL CGERU( 2, 0, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
140 INFOT = 1
CALL CHER( '/', 0, RALPHA, X, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CHER( 'U', -1, RALPHA, X, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL CHER( 'U', 0, RALPHA, X, 0, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL CHER( 'U', 2, RALPHA, X, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
150 INFOT = 1
CALL CHPR( '/', 0, RALPHA, X, 1, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CHPR( 'U', -1, RALPHA, X, 1, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL CHPR( 'U', 0, RALPHA, X, 0, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
160 INFOT = 1
CALL CHER2( '/', 0, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CHER2( 'U', -1, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL CHER2( 'U', 0, ALPHA, X, 0, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL CHER2( 'U', 0, ALPHA, X, 1, Y, 0, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL CHER2( 'U', 2, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
170 INFOT = 1
CALL CHPR2( '/', 0, ALPHA, X, 1, Y, 1, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL CHPR2( 'U', -1, ALPHA, X, 1, Y, 1, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL CHPR2( 'U', 0, ALPHA, X, 0, Y, 1, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL CHPR2( 'U', 0, ALPHA, X, 1, Y, 0, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
*
180 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 CCHKE
*
END
SUBROUTINE CMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
$ KU, RESET, TRANSL )
IMPLICIT NONE
*
* 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', 'HE', 'HB', 'HP', '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 ..
COMPLEX ZERO, ONE
PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) )
COMPLEX ROGUE
PARAMETER ( ROGUE = ( -1.0E10, 1.0E10 ) )
REAL RZERO
PARAMETER ( RZERO = 0.0 )
REAL RROGUE
PARAMETER ( RROGUE = -1.0E10 )
* .. Scalar Arguments ..
COMPLEX TRANSL
INTEGER KL, KU, LDA, M, N, NMAX
LOGICAL RESET
CHARACTER*1 DIAG, UPLO
CHARACTER*2 TYPE
* .. Array Arguments ..
COMPLEX A( NMAX, * ), AA( * )
* .. Local Scalars ..
INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, JJ, KK
LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
* .. External Functions ..
COMPLEX CBEG
EXTERNAL CBEG
* .. Intrinsic Functions ..
INTRINSIC CMPLX, CONJG, MAX, MIN, REAL
* .. Executable Statements ..
GEN = TYPE( 1: 1 ).EQ.'G'
SYM = TYPE( 1: 1 ).EQ.'H'
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 ) = CBEG( RESET ) + TRANSL
ELSE
A( I, J ) = ZERO
END IF
IF( I.NE.J )THEN
IF( SYM )THEN
A( J, I ) = CONJG( A( I, J ) )
ELSE IF( TRI )THEN
A( J, I ) = ZERO
END IF
END IF
END IF
10 CONTINUE
IF( SYM )
$ A( J, J ) = CMPLX( REAL( A( J, J ) ), RZERO )
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.'HE'.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
IF( SYM )THEN
JJ = J + ( J - 1 )*LDA
AA( JJ ) = CMPLX( REAL( AA( JJ ) ), RROGUE )
END IF
130 CONTINUE
ELSE IF( TYPE.EQ.'HB'.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
IF( SYM )THEN
JJ = KK + ( J - 1 )*LDA
AA( JJ ) = CMPLX( REAL( AA( JJ ) ), RROGUE )
END IF
170 CONTINUE
ELSE IF( TYPE.EQ.'HP'.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
IF( SYM )
$ AA( IOFF ) = CMPLX( REAL( AA( IOFF ) ), RROGUE )
END IF
180 CONTINUE
190 CONTINUE
END IF
RETURN
*
* End of CMAKE
*
END
SUBROUTINE CMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
$ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )
IMPLICIT NONE
*
* 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 ..
COMPLEX ZERO
PARAMETER ( ZERO = ( 0.0, 0.0 ) )
REAL RZERO, RONE
PARAMETER ( RZERO = 0.0, RONE = 1.0 )
* .. Scalar Arguments ..
COMPLEX ALPHA, BETA
REAL EPS, ERR
INTEGER INCX, INCY, M, N, NMAX, NOUT
LOGICAL FATAL, MV
CHARACTER*1 TRANS
* .. Array Arguments ..
COMPLEX A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * )
REAL G( * )
* .. Local Scalars ..
COMPLEX C
REAL ERRI
INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
LOGICAL CTRAN, TRAN
* .. Intrinsic Functions ..
INTRINSIC ABS, AIMAG, CONJG, MAX, REAL, SQRT
* .. Statement Functions ..
REAL CABS1
* .. Statement Function definitions ..
CABS1( C ) = ABS( REAL( C ) ) + ABS( AIMAG( C ) )
* .. Executable Statements ..
TRAN = TRANS.EQ.'T'
CTRAN = TRANS.EQ.'C'
IF( TRAN.OR.CTRAN )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 40 I = 1, ML
YT( IY ) = ZERO
G( IY ) = RZERO
JX = KX
IF( TRAN )THEN
DO 10 J = 1, NL
YT( IY ) = YT( IY ) + A( J, I )*X( JX )
G( IY ) = G( IY ) + CABS1( A( J, I ) )*CABS1( X( JX ) )
JX = JX + INCXL
10 CONTINUE
ELSE IF( CTRAN )THEN
DO 20 J = 1, NL
YT( IY ) = YT( IY ) + CONJG( A( J, I ) )*X( JX )
G( IY ) = G( IY ) + CABS1( A( J, I ) )*CABS1( X( JX ) )
JX = JX + INCXL
20 CONTINUE
ELSE
DO 30 J = 1, NL
YT( IY ) = YT( IY ) + A( I, J )*X( JX )
G( IY ) = G( IY ) + CABS1( A( I, J ) )*CABS1( X( JX ) )
JX = JX + INCXL
30 CONTINUE
END IF
YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
G( IY ) = CABS1( ALPHA )*G( IY )
$ + CABS1( BETA )*CABS1( Y( IY ) )
IY = IY + INCYL
40 CONTINUE
*
* Compute the error ratio for this result.
*
ERR = ZERO
DO 50 I = 1, ML
ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
IF( G( I ).NE.RZERO )
$ ERRI = ERRI/G( I )
ERR = MAX( ERR, ERRI )
IF( ERR*SQRT( EPS ).GE.RONE )
$ GO TO 60
50 CONTINUE
* If the loop completes, all results are at least half accurate.
GO TO 80
*
* Report fatal error.
*
60 FATAL = .TRUE.
WRITE( NOUT, FMT = 9999 )
DO 70 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
70 CONTINUE
*
80 CONTINUE
RETURN
*
9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
$ 'F ACCURATE *******', /' EXPECTED RE',
$ 'SULT COMPUTED RESULT' )
9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) )
*
* End of CMVCH
*
END
LOGICAL FUNCTION LCE( RI, RJ, LR )
IMPLICIT NONE
*
* 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 ..
COMPLEX RI( * ), RJ( * )
* .. Local Scalars ..
INTEGER I
* .. Executable Statements ..
DO 10 I = 1, LR
IF( RI( I ).NE.RJ( I ) )
$ GO TO 20
10 CONTINUE
LCE = .TRUE.
GO TO 30
20 CONTINUE
LCE = .FALSE.
30 RETURN
*
* End of LCE
*
END
LOGICAL FUNCTION LCERES( TYPE, UPLO, M, N, AA, AS, LDA )
IMPLICIT NONE
*
* Tests if selected elements in two arrays are equal.
*
* TYPE is 'GE', 'HE' or 'HP'.
*
* 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 ..
COMPLEX 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.'HE' )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
*
LCERES = .TRUE.
GO TO 80
70 CONTINUE
LCERES = .FALSE.
80 RETURN
*
* End of LCERES
*
END
COMPLEX FUNCTION CBEG( RESET )
IMPLICIT NONE
*
* Generates complex numbers as pairs of 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, J, MI, MJ
* .. Save statement ..
SAVE I, IC, J, MI, MJ
* .. Intrinsic Functions ..
INTRINSIC CMPLX
* .. Executable Statements ..
IF( RESET )THEN
* Initialize local variables.
MI = 891
MJ = 457
I = 7
J = 7
IC = 0
RESET = .FALSE.
END IF
*
* The sequence of values of I or J is bounded between 1 and 999.
* If initial I or J = 1,2,3,6,7 or 9, the period will be 50.
* If initial I or J = 4 or 8, the period will be 25.
* If initial I or J = 5, the period will be 10.
* IC is used to break up the period by skipping 1 value of I or J
* in 6.
*
IC = IC + 1
10 I = I*MI
J = J*MJ
I = I - 1000*( I/1000 )
J = J - 1000*( J/1000 )
IF( IC.GE.5 )THEN
IC = 0
GO TO 10
END IF
CBEG = CMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 )
RETURN
*
* End of CBEG
*
END
REAL FUNCTION SDIFF( X, Y )
IMPLICIT NONE
*
* Auxiliary routine for test program for Level 2 Blas.
*
* -- Written on 10-August-1987.
* Richard Hanson, Sandia National Labs.
*
* .. Scalar Arguments ..
REAL X, Y
* .. Executable Statements ..
SDIFF = X - Y
RETURN
*
* End of SDIFF
*
END
SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
IMPLICIT NONE
*
* 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 CREGR1( TRANS, M, N, LY, KL, KU, ALPHA, A, LDA, X,
$ INCX, BETA, Y, INCY, YS )
IMPLICIT NONE
*
* Input initialization for regression test.
*
* .. Scalar Arguments ..
CHARACTER*1 TRANS
INTEGER LY, M, N, KL, KU, LDA, INCX, INCY
COMPLEX ALPHA, BETA
* .. Array Arguments ..
COMPLEX A(LDA,*), X(*), Y(*), YS(*)
* .. Local Scalars ..
INTEGER I
* .. Intrinsic Functions ..
INTRINSIC CMPLX, REAL
* .. Executable Statements ..
TRANS = 'T'
M = 0
N = 5
KL = 0
KU = 0
ALPHA = CMPLX( 1.0 )
LDA = MAX( 1, M )
INCX = 1
BETA = CMPLX( -0.7, -0.8 )
INCY = 1
LY = ABS( INCY )*N
DO 10 I = 1, LY
Y( I ) = CMPLX( 42.0, REAL( I ) )
YS( I ) = Y( I )
10 CONTINUE
RETURN
END
SUBROUTINE XERBLA( SRNAME, INFO )
IMPLICIT NONE
*
* 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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