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- PROGRAM ZBLAT2
- *
- * Test program for the COMPLEX*16 Level 2 Blas.
- *
- * The program must be driven by a short data file. The first 17 records
- * of the file are read using list-directed input, the last 17 records
- * are read using the format ( A12, L2 ). An annotated example of a data
- * file can be obtained by deleting the first 3 characters from the
- * following 34 lines:
- * 'CBLAT2.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 ERROR STOP ON FAILURES.
- * T LOGICAL FLAG, T TO TEST ERROR EXITS.
- * 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH
- * 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
- * cblas_zgemv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_zgbmv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_zhemv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_zhbmv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_zhpmv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_ztrmv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_ztbmv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_ztpmv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_ztrsv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_ztbsv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_ztpsv T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_zgerc T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_zgeru T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_zher T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_zhpr T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_zher2 T PUT F FOR NO TEST. SAME COLUMNS.
- * cblas_zhpr2 T PUT F FOR NO TEST. SAME COLUMNS.
- *
- * See:
- *
- * Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J..
- * An extended set of Fortran Basic Linear Algebra Subprograms.
- *
- * Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics
- * and Computer Science Division, Argonne National Laboratory,
- * 9700 South Cass Avenue, Argonne, Illinois 60439, US.
- *
- * Or
- *
- * NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms
- * Group Ltd., NAG Central Office, 256 Banbury Road, Oxford
- * OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st
- * Street, Suite 100, Downers Grove, Illinois 60515-1263, USA.
- *
- *
- * -- Written on 10-August-1987.
- * Richard Hanson, Sandia National Labs.
- * Jeremy Du Croz, NAG Central Office.
- *
- * .. Parameters ..
- INTEGER NIN, NOUT
- PARAMETER ( NIN = 5, NOUT = 6 )
- INTEGER NSUBS
- PARAMETER ( NSUBS = 17 )
- COMPLEX*16 ZERO, ONE
- PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
- $ ONE = ( 1.0D0, 0.0D0 ) )
- DOUBLE PRECISION RZERO, RHALF, RONE
- PARAMETER ( RZERO = 0.0D0, RHALF = 0.5D0, RONE = 1.0D0 )
- INTEGER NMAX, INCMAX
- PARAMETER ( NMAX = 65, INCMAX = 2 )
- INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
- PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
- $ NALMAX = 7, NBEMAX = 7 )
- * .. Local Scalars ..
- DOUBLE PRECISION EPS, ERR, THRESH
- INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
- $ NTRA, LAYOUT
- LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
- $ TSTERR, CORDER, RORDER
- CHARACTER*1 TRANS
- CHARACTER*12 SNAMET
- CHARACTER*32 SNAPS
- * .. Local Arrays ..
- COMPLEX*16 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 )
- DOUBLE PRECISION G( NMAX )
- INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
- LOGICAL LTEST( NSUBS )
- CHARACTER*12 SNAMES( NSUBS )
- * .. External Functions ..
- DOUBLE PRECISION DDIFF
- LOGICAL LZE
- EXTERNAL DDIFF, LZE
- * .. External Subroutines ..
- EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5, ZCHK6,
- $ CZ2CHKE, ZMVCH
- * .. Intrinsic Functions ..
- INTRINSIC ABS, MAX, MIN
- * .. Scalars in Common ..
- INTEGER INFOT, NOUTC
- LOGICAL OK
- CHARACTER*12 SRNAMT
- * .. Common blocks ..
- COMMON /INFOC/INFOT, NOUTC, OK
- COMMON /SRNAMC/SRNAMT
- * .. Data statements ..
- DATA SNAMES/'cblas_zgemv ', 'cblas_zgbmv ',
- $ 'cblas_zhemv ','cblas_zhbmv ','cblas_zhpmv ',
- $ 'cblas_ztrmv ','cblas_ztbmv ','cblas_ztpmv ',
- $ 'cblas_ztrsv ','cblas_ztbsv ','cblas_ztpsv ',
- $ 'cblas_zgerc ','cblas_zgeru ','cblas_zher ',
- $ 'cblas_zhpr ','cblas_zher2 ','cblas_zhpr2 '/
- * .. Executable Statements ..
- *
- NOUTC = NOUT
- *
- * Read name and unit number for summary output file and open file.
- *
- READ( NIN, FMT = * )SNAPS
- READ( NIN, FMT = * )NTRA
- TRACE = NTRA.GE.0
- IF( TRACE )THEN
- OPEN( NTRA, FILE = SNAPS )
- 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 flag that indicates whether row-major data layout to be tested.
- READ( NIN, FMT = * )LAYOUT
- * 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 = * )
- RORDER = .FALSE.
- CORDER = .FALSE.
- IF (LAYOUT.EQ.2) THEN
- RORDER = .TRUE.
- CORDER = .TRUE.
- WRITE( *, FMT = 10002 )
- ELSE IF (LAYOUT.EQ.1) THEN
- RORDER = .TRUE.
- WRITE( *, FMT = 10001 )
- ELSE IF (LAYOUT.EQ.0) THEN
- CORDER = .TRUE.
- WRITE( *, FMT = 10000 )
- END IF
- WRITE( *, 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
- ERROR STOP
- 70 LTEST( I ) = LTESTT
- GO TO 50
- *
- 80 CONTINUE
- CLOSE ( NIN )
- *
- * Compute EPS (the machine precision).
- *
- EPS = RONE
- 90 CONTINUE
- IF( DDIFF( RONE + EPS, RONE ).EQ.RZERO )
- $ GO TO 100
- EPS = RHALF*EPS
- GO TO 90
- 100 CONTINUE
- EPS = EPS + EPS
- WRITE( NOUT, FMT = 9998 )EPS
- *
- * Check the reliability of ZMVCH 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 ZMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
- $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
- SAME = LZE( YY, YT, N )
- IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
- WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
- ERROR STOP
- END IF
- TRANS = 'T'
- CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
- $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
- SAME = LZE( YY, YT, N )
- IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
- WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
- ERROR 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 CZ2CHKE( SNAMES( ISNUM ) )
- 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 ZGEMV, 01, and ZGBMV, 02.
- 140 IF (CORDER) THEN
- CALL ZCHK1( 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, 0 )
- END IF
- IF (RORDER) THEN
- CALL ZCHK1( 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, 1 )
- END IF
- GO TO 200
- * Test ZHEMV, 03, ZHBMV, 04, and ZHPMV, 05.
- 150 IF (CORDER) THEN
- CALL ZCHK2( 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, 0 )
- END IF
- IF (RORDER) THEN
- CALL ZCHK2( 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, 1 )
- END IF
- GO TO 200
- * Test ZTRMV, 06, ZTBMV, 07, ZTPMV, 08,
- * ZTRSV, 09, ZTBSV, 10, and ZTPSV, 11.
- 160 IF (CORDER) THEN
- CALL ZCHK3( 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,
- $ 0 )
- END IF
- IF (RORDER) THEN
- CALL ZCHK3( 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,
- $ 1 )
- END IF
- GO TO 200
- * Test ZGERC, 12, ZGERU, 13.
- 170 IF (CORDER) THEN
- CALL ZCHK4( 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, 0 )
- END IF
- IF (RORDER) THEN
- CALL ZCHK4( 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, 1 )
- END IF
- GO TO 200
- * Test ZHER, 14, and ZHPR, 15.
- 180 IF (CORDER) THEN
- CALL ZCHK5( 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, 0 )
- END IF
- IF (RORDER) THEN
- CALL ZCHK5( 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, 1 )
- END IF
- GO TO 200
- * Test ZHER2, 16, and ZHPR2, 17.
- 190 IF (CORDER) THEN
- CALL ZCHK6( 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, 0 )
- END IF
- IF (RORDER) THEN
- CALL ZCHK6( 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, 1 )
- END IF
- *
- 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 )
- IF( FATAL ) THEN
- ERROR STOP
- END IF
- *
- 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
- 10001 FORMAT( ' ROW-MAJOR DATA LAYOUT IS TESTED' )
- 10000 FORMAT( ' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
- 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*16 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 ',A12, ' 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( A12, L2 )
- 9983 FORMAT( 1X,A12, ' WAS NOT TESTED' )
- 9982 FORMAT( /' END OF TESTS' )
- 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
- 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
- *
- * End of ZBLAT2.
- *
- END
- SUBROUTINE ZCHK1( 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, IORDER )
- *
- * 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*16 ZERO, HALF
- PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
- $ HALF = ( 0.5D0, 0.0D0 ) )
- DOUBLE PRECISION RZERO
- PARAMETER ( RZERO = 0.0D0 )
- * .. Scalar Arguments ..
- DOUBLE PRECISION EPS, THRESH
- INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
- $ NOUT, NTRA, IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*12 SNAME
- * .. Array Arguments ..
- COMPLEX*16 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 )
- DOUBLE PRECISION G( NMAX )
- INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
- * .. Local Scalars ..
- COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL
- DOUBLE PRECISION 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*14 CTRANS
- CHARACTER*3 ICH
- * .. Local Arrays ..
- LOGICAL ISAME( 13 )
- * .. External Functions ..
- LOGICAL LZE, LZERES
- EXTERNAL LZE, LZERES
- * .. External Subroutines ..
- EXTERNAL CZGBMV, CZGEMV, ZMAKE, ZMVCH
- * .. Intrinsic Functions ..
- INTRINSIC ABS, MAX, MIN
- * .. Scalars in Common ..
- INTEGER INFOT, NOUTC
- LOGICAL OK
- * .. Common blocks ..
- COMMON /INFOC/INFOT, NOUTC, OK
- * .. Data statements ..
- DATA ICH/'NTC'/
- * .. Executable Statements ..
- FULL = SNAME( 9: 9 ).EQ.'e'
- BANDED = SNAME( 9: 9 ).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 ZMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
- $ LDA, KL, KU, RESET, TRANSL )
- *
- DO 90 IC = 1, 3
- TRANS = ICH( IC: IC )
- IF (TRANS.EQ.'N')THEN
- CTRANS = ' CblasNoTrans'
- ELSE IF (TRANS.EQ.'T')THEN
- CTRANS = ' CblasTrans'
- ELSE
- CTRANS = 'CblasConjTrans'
- END IF
- 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 ZMAKE( '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 ZMAKE( '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,
- $ CTRANS, M, N, ALPHA, LDA, INCX, BETA,
- $ INCY
- IF( REWI )
- $ REWIND NTRA
- CALL CZGEMV( IORDER, TRANS, M, N,
- $ ALPHA, AA, LDA, XX, INCX,
- $ BETA, YY, INCY )
- ELSE IF( BANDED )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
- $ CTRANS, M, N, KL, KU, ALPHA, LDA,
- $ INCX, BETA, INCY
- IF( REWI )
- $ REWIND NTRA
- CALL CZGBMV( IORDER, 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.
- *
- * IF(TRANS .NE. 'C' .OR. (INCX .GT. 0 .AND. INCY .GT. 0)) THEN
- 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 ) = LZE( AS, AA, LAA )
- ISAME( 6 ) = LDAS.EQ.LDA
- ISAME( 7 ) = LZE( XS, XX, LX )
- ISAME( 8 ) = INCXS.EQ.INCX
- ISAME( 9 ) = BLS.EQ.BETA
- IF( NULL )THEN
- ISAME( 10 ) = LZE( YS, YY, LY )
- ELSE
- ISAME( 10 ) = LZERES( '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 ) = LZE( AS, AA, LAA )
- ISAME( 8 ) = LDAS.EQ.LDA
- ISAME( 9 ) = LZE( XS, XX, LX )
- ISAME( 10 ) = INCXS.EQ.INCX
- ISAME( 11 ) = BLS.EQ.BETA
- IF( NULL )THEN
- ISAME( 12 ) = LZE( YS, YY, LY )
- ELSE
- ISAME( 12 ) = LZERES( '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 ZMVCH( 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
- * 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, CTRANS, M, N, ALPHA, LDA,
- $ INCX, BETA, INCY
- ELSE IF( BANDED )THEN
- WRITE( NOUT, FMT = 9995 )NC, SNAME, CTRANS, M, N, KL, KU,
- $ ALPHA, LDA, INCX, BETA, INCY
- END IF
- *
- 140 CONTINUE
- RETURN
- *
- 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
- $ 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
- $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
- $ ' - SUSPECT *******' )
- 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
- 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 4( I3, ',' ), '(',
- $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
- $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
- 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
- $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
- $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
- 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
- $ '******' )
- *
- * End of ZCHK1.
- *
- END
- SUBROUTINE ZCHK2( 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, IORDER )
- *
- * 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*16 ZERO, HALF
- PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
- $ HALF = ( 0.5D0, 0.0D0 ) )
- DOUBLE PRECISION RZERO
- PARAMETER ( RZERO = 0.0D0 )
- * .. Scalar Arguments ..
- DOUBLE PRECISION EPS, THRESH
- INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
- $ NOUT, NTRA, IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*12 SNAME
- * .. Array Arguments ..
- COMPLEX*16 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 )
- DOUBLE PRECISION G( NMAX )
- INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
- * .. Local Scalars ..
- COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL
- DOUBLE PRECISION 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*14 CUPLO
- CHARACTER*2 ICH
- * .. Local Arrays ..
- LOGICAL ISAME( 13 )
- * .. External Functions ..
- LOGICAL LZE, LZERES
- EXTERNAL LZE, LZERES
- * .. External Subroutines ..
- EXTERNAL CZHBMV, CZHEMV, CZHPMV, ZMAKE, ZMVCH
- * .. Intrinsic Functions ..
- INTRINSIC ABS, MAX
- * .. Scalars in Common ..
- INTEGER INFOT, NOUTC
- LOGICAL OK
- * .. Common blocks ..
- COMMON /INFOC/INFOT, NOUTC, OK
- * .. Data statements ..
- DATA ICH/'UL'/
- * .. Executable Statements ..
- FULL = SNAME( 9: 9 ).EQ.'e'
- BANDED = SNAME( 9: 9 ).EQ.'b'
- PACKED = SNAME( 9: 9 ).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 )
- IF (UPLO.EQ.'U')THEN
- CUPLO = ' CblasUpper'
- ELSE
- CUPLO = ' CblasLower'
- END IF
- *
- * Generate the matrix A.
- *
- TRANSL = ZERO
- CALL ZMAKE( SNAME( 8: 9 ), 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 ZMAKE( '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 ZMAKE( '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,
- $ CUPLO, N, ALPHA, LDA, INCX, BETA, INCY
- IF( REWI )
- $ REWIND NTRA
- CALL CZHEMV( IORDER, UPLO, N, ALPHA, AA,
- $ LDA, XX, INCX, BETA, YY,
- $ INCY )
- ELSE IF( BANDED )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
- $ CUPLO, N, K, ALPHA, LDA, INCX, BETA,
- $ INCY
- IF( REWI )
- $ REWIND NTRA
- CALL CZHBMV( IORDER, UPLO, N, K, ALPHA,
- $ AA, LDA, XX, INCX, BETA,
- $ YY, INCY )
- ELSE IF( PACKED )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
- $ CUPLO, N, ALPHA, INCX, BETA, INCY
- IF( REWI )
- $ REWIND NTRA
- CALL CZHPMV( IORDER, 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 ) = LZE( AS, AA, LAA )
- ISAME( 5 ) = LDAS.EQ.LDA
- ISAME( 6 ) = LZE( XS, XX, LX )
- ISAME( 7 ) = INCXS.EQ.INCX
- ISAME( 8 ) = BLS.EQ.BETA
- IF( NULL )THEN
- ISAME( 9 ) = LZE( YS, YY, LY )
- ELSE
- ISAME( 9 ) = LZERES( '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 ) = LZE( AS, AA, LAA )
- ISAME( 6 ) = LDAS.EQ.LDA
- ISAME( 7 ) = LZE( XS, XX, LX )
- ISAME( 8 ) = INCXS.EQ.INCX
- ISAME( 9 ) = BLS.EQ.BETA
- IF( NULL )THEN
- ISAME( 10 ) = LZE( YS, YY, LY )
- ELSE
- ISAME( 10 ) = LZERES( '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 ) = LZE( AS, AA, LAA )
- ISAME( 5 ) = LZE( XS, XX, LX )
- ISAME( 6 ) = INCXS.EQ.INCX
- ISAME( 7 ) = BLS.EQ.BETA
- IF( NULL )THEN
- ISAME( 8 ) = LZE( YS, YY, LY )
- ELSE
- ISAME( 8 ) = LZERES( '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 ZMVCH( '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, CUPLO, N, ALPHA, LDA, INCX,
- $ BETA, INCY
- ELSE IF( BANDED )THEN
- WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
- $ INCX, BETA, INCY
- ELSE IF( PACKED )THEN
- WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
- $ BETA, INCY
- END IF
- *
- 130 CONTINUE
- RETURN
- *
- 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
- $ 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
- $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
- $ ' - SUSPECT *******' )
- 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
- 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
- $ F4.1, '), AP, X,',/ 10x, I2, ',(', F4.1, ',', F4.1,
- $ '), Y,', I2, ') .' )
- 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
- $ F4.1, ',', F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(',
- $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
- 9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
- $ F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(', F4.1, ',',
- $ F4.1, '), ', 'Y,', I2, ') .' )
- 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
- $ '******' )
- *
- * End of CZHK2.
- *
- END
- SUBROUTINE ZCHK3( 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, IORDER )
- *
- * Tests ZTRMV, ZTBMV, ZTPMV, ZTRSV, ZTBSV and ZTPSV.
- *
- * 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*16 ZERO, HALF, ONE
- PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
- $ HALF = ( 0.5D0, 0.0D0 ),
- $ ONE = ( 1.0D0, 0.0D0 ) )
- DOUBLE PRECISION RZERO
- PARAMETER ( RZERO = 0.0D0 )
- * .. Scalar Arguments ..
- DOUBLE PRECISION EPS, THRESH
- INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
- $ IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*12 SNAME
- * .. Array Arguments ..
- COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ),
- $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
- $ XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX )
- DOUBLE PRECISION G( NMAX )
- INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
- * .. Local Scalars ..
- COMPLEX*16 TRANSL
- DOUBLE PRECISION 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*14 CUPLO,CTRANS,CDIAG
- CHARACTER*2 ICHD, ICHU
- CHARACTER*3 ICHT
- * .. Local Arrays ..
- LOGICAL ISAME( 13 )
- * .. External Functions ..
- LOGICAL LZE, LZERES
- EXTERNAL LZE, LZERES
- * .. External Subroutines ..
- EXTERNAL ZMAKE, ZMVCH, CZTBMV, CZTBSV, CZTPMV,
- $ CZTPSV, CZTRMV, CZTRSV
- * .. Intrinsic Functions ..
- INTRINSIC ABS, MAX
- * .. Scalars in Common ..
- INTEGER INFOT, NOUTC
- LOGICAL OK
- * .. Common blocks ..
- COMMON /INFOC/INFOT, NOUTC, OK
- * .. Data statements ..
- DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/
- * .. Executable Statements ..
- FULL = SNAME( 9: 9 ).EQ.'r'
- BANDED = SNAME( 9: 9 ).EQ.'b'
- PACKED = SNAME( 9: 9 ).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 ZMVCH.
- 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 )
- IF (UPLO.EQ.'U')THEN
- CUPLO = ' CblasUpper'
- ELSE
- CUPLO = ' CblasLower'
- END IF
- *
- DO 80 ICT = 1, 3
- TRANS = ICHT( ICT: ICT )
- IF (TRANS.EQ.'N')THEN
- CTRANS = ' CblasNoTrans'
- ELSE IF (TRANS.EQ.'T')THEN
- CTRANS = ' CblasTrans'
- ELSE
- CTRANS = 'CblasConjTrans'
- END IF
- *
- DO 70 ICD = 1, 2
- DIAG = ICHD( ICD: ICD )
- IF (DIAG.EQ.'N')THEN
- CDIAG = ' CblasNonUnit'
- ELSE
- CDIAG = ' CblasUnit'
- END IF
- *
- * Generate the matrix A.
- *
- TRANSL = ZERO
- CALL ZMAKE( SNAME( 8: 9 ), 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 ZMAKE( '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( 10: 11 ).EQ.'mv' )THEN
- IF( FULL )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
- $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
- IF( REWI )
- $ REWIND NTRA
- CALL CZTRMV( IORDER, UPLO, TRANS, DIAG,
- $ N, AA, LDA, XX, INCX )
- ELSE IF( BANDED )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
- $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
- IF( REWI )
- $ REWIND NTRA
- CALL CZTBMV( IORDER, UPLO, TRANS, DIAG,
- $ N, K, AA, LDA, XX, INCX )
- ELSE IF( PACKED )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
- $ CUPLO, CTRANS, CDIAG, N, INCX
- IF( REWI )
- $ REWIND NTRA
- CALL CZTPMV( IORDER, UPLO, TRANS, DIAG,
- $ N, AA, XX, INCX )
- END IF
- ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
- IF( FULL )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
- $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
- IF( REWI )
- $ REWIND NTRA
- CALL CZTRSV( IORDER, UPLO, TRANS, DIAG,
- $ N, AA, LDA, XX, INCX )
- ELSE IF( BANDED )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
- $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
- IF( REWI )
- $ REWIND NTRA
- CALL CZTBSV( IORDER, UPLO, TRANS, DIAG,
- $ N, K, AA, LDA, XX, INCX )
- ELSE IF( PACKED )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
- $ CUPLO, CTRANS, CDIAG, N, INCX
- IF( REWI )
- $ REWIND NTRA
- CALL CZTPSV( IORDER, 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 ) = LZE( AS, AA, LAA )
- ISAME( 6 ) = LDAS.EQ.LDA
- IF( NULL )THEN
- ISAME( 7 ) = LZE( XS, XX, LX )
- ELSE
- ISAME( 7 ) = LZERES( '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 ) = LZE( AS, AA, LAA )
- ISAME( 7 ) = LDAS.EQ.LDA
- IF( NULL )THEN
- ISAME( 8 ) = LZE( XS, XX, LX )
- ELSE
- ISAME( 8 ) = LZERES( 'ge', ' ', 1, N, XS,
- $ XX, ABS( INCX ) )
- END IF
- ISAME( 9 ) = INCXS.EQ.INCX
- ELSE IF( PACKED )THEN
- ISAME( 5 ) = LZE( AS, AA, LAA )
- IF( NULL )THEN
- ISAME( 6 ) = LZE( XS, XX, LX )
- ELSE
- ISAME( 6 ) = LZERES( '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( 10: 11 ).EQ.'mv' )THEN
- *
- * Check the result.
- *
- CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X,
- $ INCX, ZERO, Z, INCX, XT, G,
- $ XX, EPS, ERR, FATAL, NOUT,
- $ .TRUE. )
- ELSE IF( SNAME( 10: 11 ).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 ZMVCH( 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, CUPLO, CTRANS, CDIAG, N,
- $ LDA, INCX
- ELSE IF( BANDED )THEN
- WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N, K,
- $ LDA, INCX
- ELSE IF( PACKED )THEN
- WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
- $ INCX
- END IF
- *
- 130 CONTINUE
- RETURN
- *
- 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
- $ 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
- $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
- $ ' - SUSPECT *******' )
- 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
- 9995 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', AP, ',
- $ 'X,', I2, ') .' )
- 9994 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, 2( I3, ',' ),
- $ ' A,', I3, ', X,', I2, ') .' )
- 9993 FORMAT( 1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', A,',
- $ I3, ', X,', I2, ') .' )
- 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
- $ '******' )
- *
- * End of ZCHK3.
- *
- END
- SUBROUTINE ZCHK4( 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, IORDER )
- *
- * Tests ZGERC and ZGERU.
- *
- * 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*16 ZERO, HALF, ONE
- PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
- $ HALF = ( 0.5D0, 0.0D0 ),
- $ ONE = ( 1.0D0, 0.0D0 ) )
- DOUBLE PRECISION RZERO
- PARAMETER ( RZERO = 0.0D0 )
- * .. Scalar Arguments ..
- DOUBLE PRECISION EPS, THRESH
- INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
- $ IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*12 SNAME
- * .. Array Arguments ..
- COMPLEX*16 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 )
- DOUBLE PRECISION G( NMAX )
- INTEGER IDIM( NIDIM ), INC( NINC )
- * .. Local Scalars ..
- COMPLEX*16 ALPHA, ALS, TRANSL
- DOUBLE PRECISION 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*16 W( 1 )
- LOGICAL ISAME( 13 )
- * .. External Functions ..
- LOGICAL LZE, LZERES
- EXTERNAL LZE, LZERES
- * .. External Subroutines ..
- EXTERNAL CZGERC, CZGERU, ZMAKE, ZMVCH
- * .. Intrinsic Functions ..
- INTRINSIC ABS, DCONJG, MAX, MIN
- * .. Scalars in Common ..
- INTEGER INFOT, NOUTC
- LOGICAL OK
- * .. Common blocks ..
- COMMON /INFOC/INFOT, NOUTC, OK
- * .. Executable Statements ..
- CONJ = SNAME( 11: 11 ).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 ZMAKE( '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 ZMAKE( '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 ZMAKE(SNAME( 8: 9 ), ' ', ' ', 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 CZGERC( IORDER, M, N, ALPHA, XX, INCX,
- $ YY, INCY, AA, LDA )
- ELSE
- IF( REWI )
- $ REWIND NTRA
- CALL CZGERU( IORDER, 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 ) = LZE( XS, XX, LX )
- ISAME( 5 ) = INCXS.EQ.INCX
- ISAME( 6 ) = LZE( YS, YY, LY )
- ISAME( 7 ) = INCYS.EQ.INCY
- IF( NULL )THEN
- ISAME( 8 ) = LZE( AS, AA, LAA )
- ELSE
- ISAME( 8 ) = LZERES( '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 ) = DCONJG( W( 1 ) )
- CALL ZMVCH( '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(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
- $ 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
- $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
- $ ' - SUSPECT *******' )
- 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
- 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
- 9994 FORMAT(1X, I6, ': ',A12, '(', 2( I3, ',' ), '(', F4.1, ',', F4.1,
- $ '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
- 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
- $ '******' )
- *
- * End of ZCHK4.
- *
- END
- SUBROUTINE ZCHK5( 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, IORDER )
- *
- * Tests ZHER and ZHPR.
- *
- * 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*16 ZERO, HALF, ONE
- PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
- $ HALF = ( 0.5D0, 0.0D0 ),
- $ ONE = ( 1.0D0, 0.0D0 ) )
- DOUBLE PRECISION RZERO
- PARAMETER ( RZERO = 0.0D0 )
- * .. Scalar Arguments ..
- DOUBLE PRECISION EPS, THRESH
- INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
- $ IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*12 SNAME
- * .. Array Arguments ..
- COMPLEX*16 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 )
- DOUBLE PRECISION G( NMAX )
- INTEGER IDIM( NIDIM ), INC( NINC )
- * .. Local Scalars ..
- COMPLEX*16 ALPHA, TRANSL
- DOUBLE PRECISION 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*14 CUPLO
- CHARACTER*2 ICH
- * .. Local Arrays ..
- COMPLEX*16 W( 1 )
- LOGICAL ISAME( 13 )
- * .. External Functions ..
- LOGICAL LZE, LZERES
- EXTERNAL LZE, LZERES
- * .. External Subroutines ..
- EXTERNAL CZHER, CZHPR, ZMAKE, ZMVCH
- * .. Intrinsic Functions ..
- INTRINSIC ABS, DCMPLX, DCONJG, MAX, DBLE
- * .. Scalars in Common ..
- INTEGER INFOT, NOUTC
- LOGICAL OK
- * .. Common blocks ..
- COMMON /INFOC/INFOT, NOUTC, OK
- * .. Data statements ..
- DATA ICH/'UL'/
- * .. Executable Statements ..
- FULL = SNAME( 9: 9 ).EQ.'e'
- PACKED = SNAME( 9: 9 ).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 )
- IF (UPLO.EQ.'U')THEN
- CUPLO = ' CblasUpper'
- ELSE
- CUPLO = ' CblasLower'
- END IF
- UPPER = UPLO.EQ.'U'
- *
- DO 80 IX = 1, NINC
- INCX = INC( IX )
- LX = ABS( INCX )*N
- *
- * Generate the vector X.
- *
- TRANSL = HALF
- CALL ZMAKE( '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 = DBLE( ALF( IA ) )
- ALPHA = DCMPLX( RALPHA, RZERO )
- NULL = N.LE.0.OR.RALPHA.EQ.RZERO
- *
- * Generate the matrix A.
- *
- TRANSL = ZERO
- CALL ZMAKE( SNAME( 8: 9 ), 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, CUPLO, N,
- $ RALPHA, INCX, LDA
- IF( REWI )
- $ REWIND NTRA
- CALL CZHER( IORDER, UPLO, N, RALPHA, XX,
- $ INCX, AA, LDA )
- ELSE IF( PACKED )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
- $ RALPHA, INCX
- IF( REWI )
- $ REWIND NTRA
- CALL CZHPR( IORDER, 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 ) = LZE( XS, XX, LX )
- ISAME( 5 ) = INCXS.EQ.INCX
- IF( NULL )THEN
- ISAME( 6 ) = LZE( AS, AA, LAA )
- ELSE
- ISAME( 6 ) = LZERES( SNAME( 8: 9 ), 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 ) = DCONJG( Z( J ) )
- IF( UPPER )THEN
- JJ = 1
- LJ = J
- ELSE
- JJ = J
- LJ = N - J + 1
- END IF
- CALL ZMVCH( '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, CUPLO, N, RALPHA, INCX, LDA
- ELSE IF( PACKED )THEN
- WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, RALPHA, INCX
- END IF
- *
- 130 CONTINUE
- RETURN
- *
- 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
- $ 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
- $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
- $ ' - SUSPECT *******' )
- 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
- 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
- 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
- $ I2, ', AP) .' )
- 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
- $ I2, ', A,', I3, ') .' )
- 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
- $ '******' )
- *
- * End of CZHK5.
- *
- END
- SUBROUTINE ZCHK6( 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, IORDER )
- *
- * Tests ZHER2 and ZHPR2.
- *
- * 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*16 ZERO, HALF, ONE
- PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
- $ HALF = ( 0.5D0, 0.0D0 ),
- $ ONE = ( 1.0D0, 0.0D0 ) )
- DOUBLE PRECISION RZERO
- PARAMETER ( RZERO = 0.0D0 )
- * .. Scalar Arguments ..
- DOUBLE PRECISION EPS, THRESH
- INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
- $ IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*12 SNAME
- * .. Array Arguments ..
- COMPLEX*16 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 )
- DOUBLE PRECISION G( NMAX )
- INTEGER IDIM( NIDIM ), INC( NINC )
- * .. Local Scalars ..
- COMPLEX*16 ALPHA, ALS, TRANSL
- DOUBLE PRECISION 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*14 CUPLO
- CHARACTER*2 ICH
- * .. Local Arrays ..
- COMPLEX*16 W( 2 )
- LOGICAL ISAME( 13 )
- * .. External Functions ..
- LOGICAL LZE, LZERES
- EXTERNAL LZE, LZERES
- * .. External Subroutines ..
- EXTERNAL CZHER2, CZHPR2, ZMAKE, ZMVCH
- * .. Intrinsic Functions ..
- INTRINSIC ABS, DCONJG, MAX
- * .. Scalars in Common ..
- INTEGER INFOT, NOUTC
- LOGICAL OK
- * .. Common blocks ..
- COMMON /INFOC/INFOT, NOUTC, OK
- * .. Data statements ..
- DATA ICH/'UL'/
- * .. Executable Statements ..
- FULL = SNAME( 9: 9 ).EQ.'e'
- PACKED = SNAME( 9: 9 ).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 )
- IF (UPLO.EQ.'U')THEN
- CUPLO = ' CblasUpper'
- ELSE
- CUPLO = ' CblasLower'
- END IF
- UPPER = UPLO.EQ.'U'
- *
- DO 120 IX = 1, NINC
- INCX = INC( IX )
- LX = ABS( INCX )*N
- *
- * Generate the vector X.
- *
- TRANSL = HALF
- CALL ZMAKE( '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 ZMAKE( '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 ZMAKE( SNAME( 8: 9 ), 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, CUPLO, N,
- $ ALPHA, INCX, INCY, LDA
- IF( REWI )
- $ REWIND NTRA
- CALL CZHER2( IORDER, UPLO, N, ALPHA, XX, INCX,
- $ YY, INCY, AA, LDA )
- ELSE IF( PACKED )THEN
- IF( TRACE )
- $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
- $ ALPHA, INCX, INCY
- IF( REWI )
- $ REWIND NTRA
- CALL CZHPR2( IORDER, 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 ) = LZE( XS, XX, LX )
- ISAME( 5 ) = INCXS.EQ.INCX
- ISAME( 6 ) = LZE( YS, YY, LY )
- ISAME( 7 ) = INCYS.EQ.INCY
- IF( NULL )THEN
- ISAME( 8 ) = LZE( AS, AA, LAA )
- ELSE
- ISAME( 8 ) = LZERES( SNAME( 8: 9 ), 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*DCONJG( Z( J, 2 ) )
- W( 2 ) = DCONJG( ALPHA )*DCONJG( Z( J, 1 ) )
- IF( UPPER )THEN
- JJ = 1
- LJ = J
- ELSE
- JJ = J
- LJ = N - J + 1
- END IF
- CALL ZMVCH( '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, CUPLO, N, ALPHA, INCX,
- $ INCY, LDA
- ELSE IF( PACKED )THEN
- WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX, INCY
- END IF
- *
- 170 CONTINUE
- RETURN
- *
- 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
- $ 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
- $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
- $ ' - SUSPECT *******' )
- 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
- 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
- 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
- $ F4.1, '), X,', I2, ', Y,', I2, ', AP) .' )
- 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
- $ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
- 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
- $ '******' )
- *
- * End of ZCHK6.
- *
- END
- SUBROUTINE ZMVCH( 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 ..
- COMPLEX*16 ZERO
- PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
- DOUBLE PRECISION RZERO, RONE
- PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 )
- * .. Scalar Arguments ..
- COMPLEX*16 ALPHA, BETA
- DOUBLE PRECISION EPS, ERR
- INTEGER INCX, INCY, M, N, NMAX, NOUT
- LOGICAL FATAL, MV
- CHARACTER*1 TRANS
- * .. Array Arguments ..
- COMPLEX*16 A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * )
- DOUBLE PRECISION G( * )
- * .. Local Scalars ..
- COMPLEX*16 C
- DOUBLE PRECISION ERRI
- INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
- LOGICAL CTRAN, TRAN
- * .. Intrinsic Functions ..
- INTRINSIC ABS, DIMAG, DCONJG, MAX, DBLE, SQRT
- * .. Statement Functions ..
- DOUBLE PRECISION ABS1
- * .. Statement Function definitions ..
- ABS1( C ) = ABS( DBLE( C ) ) + ABS( DIMAG( 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 ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
- JX = JX + INCXL
- 10 CONTINUE
- ELSE IF( CTRAN )THEN
- DO 20 J = 1, NL
- YT( IY ) = YT( IY ) + DCONJG( A( J, I ) )*X( JX )
- G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( 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 ) + ABS1( A( I, J ) )*ABS1( X( JX ) )
- JX = JX + INCXL
- 30 CONTINUE
- END IF
- YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
- G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( 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 ZMVCH.
- *
- END
- LOGICAL FUNCTION LZE( 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 ..
- COMPLEX*16 RI( * ), RJ( * )
- * .. Local Scalars ..
- INTEGER I
- * .. Executable Statements ..
- DO 10 I = 1, LR
- IF( RI( I ).NE.RJ( I ) )
- $ GO TO 20
- 10 CONTINUE
- LZE = .TRUE.
- GO TO 30
- 20 CONTINUE
- LZE = .FALSE.
- 30 RETURN
- *
- * End of LZE.
- *
- END
- LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA )
- *
- * 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*16 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
- *
- 60 CONTINUE
- LZERES = .TRUE.
- GO TO 80
- 70 CONTINUE
- LZERES = .FALSE.
- 80 RETURN
- *
- * End of LZERES.
- *
- END
- COMPLEX*16 FUNCTION ZBEG( RESET )
- *
- * 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 DCMPLX
- * .. 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
- ZBEG = DCMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 )
- RETURN
- *
- * End of ZBEG.
- *
- 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 ZMAKE( 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', '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*16 ZERO, ONE
- PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
- $ ONE = ( 1.0D0, 0.0D0 ) )
- COMPLEX*16 ROGUE
- PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) )
- DOUBLE PRECISION RZERO
- PARAMETER ( RZERO = 0.0D0 )
- DOUBLE PRECISION RROGUE
- PARAMETER ( RROGUE = -1.0D10 )
- * .. Scalar Arguments ..
- COMPLEX*16 TRANSL
- INTEGER KL, KU, LDA, M, N, NMAX
- LOGICAL RESET
- CHARACTER*1 DIAG, UPLO
- CHARACTER*2 TYPE
- * .. Array Arguments ..
- COMPLEX*16 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*16 ZBEG
- EXTERNAL ZBEG
- * .. Intrinsic Functions ..
- INTRINSIC DCMPLX, DCONJG, MAX, MIN, DBLE
- * .. 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 ) = ZBEG( RESET ) + TRANSL
- ELSE
- A( I, J ) = ZERO
- END IF
- IF( I.NE.J )THEN
- IF( SYM )THEN
- A( J, I ) = DCONJG( A( I, J ) )
- ELSE IF( TRI )THEN
- A( J, I ) = ZERO
- END IF
- END IF
- END IF
- 10 CONTINUE
- IF( SYM )
- $ A( J, J ) = DCMPLX( DBLE( 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 ) = DCMPLX( DBLE( 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 ) = DCMPLX( DBLE( 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 ) = DCMPLX( DBLE( AA( IOFF ) ), RROGUE )
- END IF
- 180 CONTINUE
- 190 CONTINUE
- END IF
- RETURN
- *
- * End of ZMAKE.
- *
- END
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