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							3249 lines
						
					
					
						
							113 KiB
						
					
					
				|       PROGRAM ZBLAT2 | |
| * | |
| *  Test program for the COMPLEX*16       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: | |
| *  'ZBLAT2.SUMM'     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 | |
| *  ZGEMV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZGBMV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZHEMV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZHBMV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZHPMV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZTRMV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZTBMV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZTPMV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZTRSV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZTBSV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZTPSV  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZGERC  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZGERU  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZHER   T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZHPR   T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  ZHER2  T PUT F FOR NO TEST. SAME COLUMNS. | |
| *  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 | |
|       PARAMETER          ( NIN = 5 ) | |
|       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, | |
|      $                   NOUT, NTRA | |
|       LOGICAL            FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, | |
|      $                   TSTERR | |
|       CHARACTER*1        TRANS | |
|       CHARACTER*6        SNAMET | |
|       CHARACTER*32       SNAPS, SUMMRY | |
| *     .. 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*6        SNAMES( NSUBS ) | |
| *     .. External Functions .. | |
|       DOUBLE PRECISION   DDIFF | |
|       LOGICAL            LZE | |
|       EXTERNAL           DDIFF, LZE | |
| *     .. External Subroutines .. | |
|       EXTERNAL           ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5, ZCHK6, | |
|      $                   ZCHKE, ZMVCH | |
| *     .. 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/'ZGEMV ', 'ZGBMV ', 'ZHEMV ', 'ZHBMV ', | |
|      $                   'ZHPMV ', 'ZTRMV ', 'ZTBMV ', 'ZTPMV ', | |
|      $                   'ZTRSV ', 'ZTBSV ', 'ZTPSV ', 'ZGERC ', | |
|      $                   'ZGERU ', 'ZHER  ', 'ZHPR  ', 'ZHER2 ', | |
|      $                   'ZHPR2 '/ | |
| *     .. 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 = 'NEW' ) | |
|       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 = 'NEW' ) | |
|       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 = 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 ZMVCH YT holds | |
| *     the result computed by ZMVCH. | |
|       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 | |
|          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 | |
|          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 ZCHKE( 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 ZGEMV, 01, and ZGBMV, 02. | |
|   140       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 ) | |
|             GO TO 200 | |
| *           Test ZHEMV, 03, ZHBMV, 04, and ZHPMV, 05. | |
|   150       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 ) | |
|             GO TO 200 | |
| *           Test ZTRMV, 06, ZTBMV, 07, ZTPMV, 08, | |
| *           ZTRSV, 09, ZTBSV, 10, and ZTPSV, 11. | |
|   160       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 ) | |
|             GO TO 200 | |
| *           Test ZGERC, 12, ZGERU, 13. | |
|   170       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 ) | |
|             GO TO 200 | |
| *           Test ZHER, 14, and ZHPR, 15. | |
|   180       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 ) | |
|             GO TO 200 | |
| *           Test ZHER2, 16, and ZHPR2, 17. | |
|   190       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 ) | |
| * | |
|   200       IF( FATAL.AND.SFATAL ) | |
|      $         GO TO 220 | |
|          END IF | |
|   210 CONTINUE | |
|       WRITE( NOUT, FMT = 9982 ) | |
|       GO TO 240 | |
| * | |
|   220 CONTINUE | |
|       WRITE( NOUT, FMT = 9981 ) | |
|       GO TO 240 | |
| * | |
|   230 CONTINUE | |
|       WRITE( NOUT, FMT = 9987 ) | |
| * | |
|   240 CONTINUE | |
|       IF( TRACE ) | |
|      $   CLOSE ( NTRA ) | |
|       CLOSE ( NOUT ) | |
|       STOP | |
| * | |
|  9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', | |
|      $      'S THAN', F8.2 ) | |
|  9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, D9.1 ) | |
|  9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', | |
|      $      'THAN ', I2 ) | |
|  9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) | |
|  9995 FORMAT( ' VALUE OF K IS LESS THAN 0' ) | |
|  9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ', | |
|      $      I2 ) | |
|  9993 FORMAT( ' TESTS OF THE 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 ', A6, ' NOT RECOGNIZED', /' ******* T', | |
|      $      'ESTS ABANDONED *******' ) | |
|  9985 FORMAT( ' ERROR IN ZMVCH -  IN-LINE DOT PRODUCTS ARE BEING EVALU', | |
|      $      'ATED WRONGLY.', /' ZMVCH 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 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 ) | |
| * | |
| *  Tests ZGEMV and ZGBMV. | |
| * | |
| *  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 | |
|       LOGICAL            FATAL, REWI, TRACE | |
|       CHARACTER*6        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*3        ICH | |
| *     .. Local Arrays .. | |
|       LOGICAL            ISAME( 13 ) | |
| *     .. External Functions .. | |
|       LOGICAL            LZE, LZERES | |
|       EXTERNAL           LZE, LZERES | |
| *     .. External Subroutines .. | |
|       EXTERNAL           ZGBMV, ZGEMV, ZMAKE, ZMVCH | |
| *     .. 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 ZMAKE( 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 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, | |
|      $                              TRANS, M, N, ALPHA, LDA, INCX, BETA, | |
|      $                              INCY | |
|                                  IF( REWI ) | |
|      $                              REWIND NTRA | |
|                                  CALL ZGEMV( 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 ZGBMV( 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 ) = 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 | |
| * | |
|    50                      CONTINUE | |
| * | |
|    60                   CONTINUE | |
| * | |
|    70                CONTINUE | |
| * | |
|    80             CONTINUE | |
| * | |
|    90          CONTINUE | |
| * | |
|   100       CONTINUE | |
| * | |
|   110    CONTINUE | |
| * | |
|   120 CONTINUE | |
| * | |
| *     Report result. | |
| * | |
|       IF( ERRMAX.LT.THRESH )THEN | |
|          WRITE( NOUT, FMT = 9999 )SNAME, NC | |
|       ELSE | |
|          WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX | |
|       END IF | |
|       GO TO 140 | |
| * | |
|   130 CONTINUE | |
|       WRITE( NOUT, FMT = 9996 )SNAME | |
|       IF( FULL )THEN | |
|          WRITE( NOUT, FMT = 9994 )NC, SNAME, TRANS, M, N, ALPHA, LDA, | |
|      $      INCX, BETA, INCY | |
|       ELSE IF( BANDED )THEN | |
|          WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANS, M, N, KL, KU, | |
|      $      ALPHA, LDA, INCX, BETA, INCY | |
|       END IF | |
| * | |
|   140 CONTINUE | |
|       RETURN | |
| * | |
|  9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', | |
|      $      'S)' ) | |
|  9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', | |
|      $      'ANGED INCORRECTLY *******' ) | |
|  9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', | |
|      $      'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, | |
|      $      ' - SUSPECT *******' ) | |
|  9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) | |
|  9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', 4( I3, ',' ), '(', | |
|      $      F4.1, ',', 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 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 ) | |
| * | |
| *  Tests ZHEMV, ZHBMV and ZHPMV. | |
| * | |
| *  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 | |
|       LOGICAL            FATAL, REWI, TRACE | |
|       CHARACTER*6        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*2        ICH | |
| *     .. Local Arrays .. | |
|       LOGICAL            ISAME( 13 ) | |
| *     .. External Functions .. | |
|       LOGICAL            LZE, LZERES | |
|       EXTERNAL           LZE, LZERES | |
| *     .. External Subroutines .. | |
|       EXTERNAL           ZHBMV, ZHEMV, ZHPMV, ZMAKE, ZMVCH | |
| *     .. 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 ZMAKE( 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 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, | |
|      $                           UPLO, N, ALPHA, LDA, INCX, BETA, INCY | |
|                               IF( REWI ) | |
|      $                           REWIND NTRA | |
|                               CALL ZHEMV( 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 ZHBMV( 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 ZHPMV( 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, 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 ZCHK2. | |
| * | |
|       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 ) | |
| * | |
| *  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 | |
|       LOGICAL            FATAL, REWI, TRACE | |
|       CHARACTER*6        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*2        ICHD, ICHU | |
|       CHARACTER*3        ICHT | |
| *     .. Local Arrays .. | |
|       LOGICAL            ISAME( 13 ) | |
| *     .. External Functions .. | |
|       LOGICAL            LZE, LZERES | |
|       EXTERNAL           LZE, LZERES | |
| *     .. External Subroutines .. | |
|       EXTERNAL           ZMAKE, ZMVCH, ZTBMV, ZTBSV, ZTPMV, ZTPSV, | |
|      $                   ZTRMV, ZTRSV | |
| *     .. 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 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 ) | |
| * | |
|                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 ZMAKE( 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 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( 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 ZTRMV( 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 ZTBMV( 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 ZTPMV( 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 ZTRSV( 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 ZTBSV( 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 ZTPSV( 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( 4: 5 ).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( 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 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, 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 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 ) | |
| * | |
| *  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 | |
|       LOGICAL            FATAL, REWI, TRACE | |
|       CHARACTER*6        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           ZGERC, ZGERU, ZMAKE, ZMVCH | |
| *     .. Intrinsic Functions .. | |
|       INTRINSIC          ABS, DCONJG, 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 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( 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 ZGERC( M, N, ALPHA, XX, INCX, YY, INCY, AA, | |
|      $                              LDA ) | |
|                      ELSE | |
|                         IF( REWI ) | |
|      $                     REWIND NTRA | |
|                         CALL ZGERU( 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( ' ', 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 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 ) | |
| * | |
| *  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 | |
|       LOGICAL            FATAL, REWI, TRACE | |
|       CHARACTER*6        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*2        ICH | |
| *     .. Local Arrays .. | |
|       COMPLEX*16         W( 1 ) | |
|       LOGICAL            ISAME( 13 ) | |
| *     .. External Functions .. | |
|       LOGICAL            LZE, LZERES | |
|       EXTERNAL           LZE, LZERES | |
| *     .. External Subroutines .. | |
|       EXTERNAL           ZHER, ZHPR, ZMAKE, ZMVCH | |
| *     .. Intrinsic Functions .. | |
|       INTRINSIC          ABS, DBLE, DCMPLX, DCONJG, 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 = 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 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( 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 ZHER( 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 ZHPR( 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( 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 ) = 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, 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 ZCHK5. | |
| * | |
|       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 ) | |
| * | |
| *  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 | |
|       LOGICAL            FATAL, REWI, TRACE | |
|       CHARACTER*6        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*2        ICH | |
| *     .. Local Arrays .. | |
|       COMPLEX*16         W( 2 ) | |
|       LOGICAL            ISAME( 13 ) | |
| *     .. External Functions .. | |
|       LOGICAL            LZE, LZERES | |
|       EXTERNAL           LZE, LZERES | |
| *     .. External Subroutines .. | |
|       EXTERNAL           ZHER2, ZHPR2, ZMAKE, ZMVCH | |
| *     .. Intrinsic Functions .. | |
|       INTRINSIC          ABS, DCONJG, 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 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( 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 ZHER2( 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 ZHPR2( 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( 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*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, 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 ZCHK6. | |
| * | |
|       END | |
|       SUBROUTINE ZCHKE( ISNUM, SRNAMT, NOUT ) | |
| * | |
| *  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*16         ALPHA, BETA | |
|       DOUBLE PRECISION   RALPHA | |
| *     .. Local Arrays .. | |
|       COMPLEX*16         A( 1, 1 ), X( 1 ), Y( 1 ) | |
| *     .. External Subroutines .. | |
|       EXTERNAL           CHKXER, ZGBMV, ZGEMV, ZGERC, ZGERU, ZHBMV, | |
|      $                   ZHEMV, ZHER, ZHER2, ZHPMV, ZHPR, ZHPR2, ZTBMV, | |
|      $                   ZTBSV, ZTPMV, ZTPSV, ZTRMV, ZTRSV | |
| *     .. 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 ZGEMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZGEMV( 'N', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 3 | |
|       CALL ZGEMV( 'N', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 6 | |
|       CALL ZGEMV( 'N', 2, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 8 | |
|       CALL ZGEMV( 'N', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 11 | |
|       CALL ZGEMV( '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 ZGBMV( '/', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZGBMV( 'N', -1, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 3 | |
|       CALL ZGBMV( 'N', 0, -1, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 4 | |
|       CALL ZGBMV( 'N', 0, 0, -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 5 | |
|       CALL ZGBMV( 'N', 2, 0, 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 8 | |
|       CALL ZGBMV( 'N', 0, 0, 1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 10 | |
|       CALL ZGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 13 | |
|       CALL ZGBMV( '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 ZHEMV( '/', 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZHEMV( 'U', -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 5 | |
|       CALL ZHEMV( 'U', 2, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 7 | |
|       CALL ZHEMV( 'U', 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 10 | |
|       CALL ZHEMV( 'U', 0, ALPHA, A, 1, X, 1, BETA, Y, 0 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|    40 INFOT = 1 | |
|       CALL ZHBMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZHBMV( 'U', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 3 | |
|       CALL ZHBMV( 'U', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 6 | |
|       CALL ZHBMV( 'U', 0, 1, ALPHA, A, 1, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 8 | |
|       CALL ZHBMV( 'U', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 11 | |
|       CALL ZHBMV( '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 ZHPMV( '/', 0, ALPHA, A, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZHPMV( 'U', -1, ALPHA, A, X, 1, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 6 | |
|       CALL ZHPMV( 'U', 0, ALPHA, A, X, 0, BETA, Y, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 9 | |
|       CALL ZHPMV( 'U', 0, ALPHA, A, X, 1, BETA, Y, 0 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|    60 INFOT = 1 | |
|       CALL ZTRMV( '/', 'N', 'N', 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZTRMV( 'U', '/', 'N', 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 3 | |
|       CALL ZTRMV( 'U', 'N', '/', 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 4 | |
|       CALL ZTRMV( 'U', 'N', 'N', -1, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 6 | |
|       CALL ZTRMV( 'U', 'N', 'N', 2, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 8 | |
|       CALL ZTRMV( 'U', 'N', 'N', 0, A, 1, X, 0 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|    70 INFOT = 1 | |
|       CALL ZTBMV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZTBMV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 3 | |
|       CALL ZTBMV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 4 | |
|       CALL ZTBMV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 5 | |
|       CALL ZTBMV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 7 | |
|       CALL ZTBMV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 9 | |
|       CALL ZTBMV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|    80 INFOT = 1 | |
|       CALL ZTPMV( '/', 'N', 'N', 0, A, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZTPMV( 'U', '/', 'N', 0, A, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 3 | |
|       CALL ZTPMV( 'U', 'N', '/', 0, A, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 4 | |
|       CALL ZTPMV( 'U', 'N', 'N', -1, A, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 7 | |
|       CALL ZTPMV( 'U', 'N', 'N', 0, A, X, 0 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|    90 INFOT = 1 | |
|       CALL ZTRSV( '/', 'N', 'N', 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZTRSV( 'U', '/', 'N', 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 3 | |
|       CALL ZTRSV( 'U', 'N', '/', 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 4 | |
|       CALL ZTRSV( 'U', 'N', 'N', -1, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 6 | |
|       CALL ZTRSV( 'U', 'N', 'N', 2, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 8 | |
|       CALL ZTRSV( 'U', 'N', 'N', 0, A, 1, X, 0 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|   100 INFOT = 1 | |
|       CALL ZTBSV( '/', 'N', 'N', 0, 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZTBSV( 'U', '/', 'N', 0, 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 3 | |
|       CALL ZTBSV( 'U', 'N', '/', 0, 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 4 | |
|       CALL ZTBSV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 5 | |
|       CALL ZTBSV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 7 | |
|       CALL ZTBSV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 9 | |
|       CALL ZTBSV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|   110 INFOT = 1 | |
|       CALL ZTPSV( '/', 'N', 'N', 0, A, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZTPSV( 'U', '/', 'N', 0, A, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 3 | |
|       CALL ZTPSV( 'U', 'N', '/', 0, A, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 4 | |
|       CALL ZTPSV( 'U', 'N', 'N', -1, A, X, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 7 | |
|       CALL ZTPSV( 'U', 'N', 'N', 0, A, X, 0 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|   120 INFOT = 1 | |
|       CALL ZGERC( -1, 0, ALPHA, X, 1, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZGERC( 0, -1, ALPHA, X, 1, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 5 | |
|       CALL ZGERC( 0, 0, ALPHA, X, 0, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 7 | |
|       CALL ZGERC( 0, 0, ALPHA, X, 1, Y, 0, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 9 | |
|       CALL ZGERC( 2, 0, ALPHA, X, 1, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|   130 INFOT = 1 | |
|       CALL ZGERU( -1, 0, ALPHA, X, 1, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZGERU( 0, -1, ALPHA, X, 1, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 5 | |
|       CALL ZGERU( 0, 0, ALPHA, X, 0, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 7 | |
|       CALL ZGERU( 0, 0, ALPHA, X, 1, Y, 0, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 9 | |
|       CALL ZGERU( 2, 0, ALPHA, X, 1, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|   140 INFOT = 1 | |
|       CALL ZHER( '/', 0, RALPHA, X, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZHER( 'U', -1, RALPHA, X, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 5 | |
|       CALL ZHER( 'U', 0, RALPHA, X, 0, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 7 | |
|       CALL ZHER( 'U', 2, RALPHA, X, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|   150 INFOT = 1 | |
|       CALL ZHPR( '/', 0, RALPHA, X, 1, A ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZHPR( 'U', -1, RALPHA, X, 1, A ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 5 | |
|       CALL ZHPR( 'U', 0, RALPHA, X, 0, A ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|   160 INFOT = 1 | |
|       CALL ZHER2( '/', 0, ALPHA, X, 1, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZHER2( 'U', -1, ALPHA, X, 1, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 5 | |
|       CALL ZHER2( 'U', 0, ALPHA, X, 0, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 7 | |
|       CALL ZHER2( 'U', 0, ALPHA, X, 1, Y, 0, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 9 | |
|       CALL ZHER2( 'U', 2, ALPHA, X, 1, Y, 1, A, 1 ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       GO TO 180 | |
|   170 INFOT = 1 | |
|       CALL ZHPR2( '/', 0, ALPHA, X, 1, Y, 1, A ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 2 | |
|       CALL ZHPR2( 'U', -1, ALPHA, X, 1, Y, 1, A ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 5 | |
|       CALL ZHPR2( 'U', 0, ALPHA, X, 0, Y, 1, A ) | |
|       CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
|       INFOT = 7 | |
|       CALL ZHPR2( '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 ZCHKE. | |
| * | |
|       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          DBLE, DCMPLX, DCONJG, MAX, MIN | |
| *     .. 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 | |
|       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, DBLE, DCONJG, DIMAG, MAX, 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 )/1001.0D0, ( J - 500 )/1001.0D0 ) | |
|       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 CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) | |
| * | |
| *  Tests whether XERBLA has detected an error when it should. | |
| * | |
| *  Auxiliary routine for test program for Level 2 Blas. | |
| * | |
| *  -- Written on 10-August-1987. | |
| *     Richard Hanson, Sandia National Labs. | |
| *     Jeremy Du Croz, NAG Central Office. | |
| * | |
| *     .. Scalar Arguments .. | |
|       INTEGER            INFOT, NOUT | |
|       LOGICAL            LERR, OK | |
|       CHARACTER*6        SRNAMT | |
| *     .. Executable Statements .. | |
|       IF( .NOT.LERR )THEN | |
|          WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT | |
|          OK = .FALSE. | |
|       END IF | |
|       LERR = .FALSE. | |
|       RETURN | |
| * | |
|  9999 FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D', | |
|      $      'ETECTED BY ', A6, ' *****' ) | |
| * | |
| *     End of CHKXER. | |
| * | |
|       END | |
|       SUBROUTINE XERBLA( SRNAME, INFO ) | |
| * | |
| *  This is a special version of XERBLA to be used only as part of | |
| *  the test program for testing error exits from the Level 2 BLAS | |
| *  routines. | |
| * | |
| *  XERBLA  is an error handler for the Level 2 BLAS routines. | |
| * | |
| *  It is called by the Level 2 BLAS routines if an input parameter is | |
| *  invalid. | |
| * | |
| *  Auxiliary routine for test program for Level 2 Blas. | |
| * | |
| *  -- Written on 10-August-1987. | |
| *     Richard Hanson, Sandia National Labs. | |
| *     Jeremy Du Croz, NAG Central Office. | |
| * | |
| *     .. Scalar Arguments .. | |
|       INTEGER            INFO | |
|       CHARACTER*6        SRNAME | |
| *     .. Scalars in Common .. | |
|       INTEGER            INFOT, NOUT | |
|       LOGICAL            LERR, OK | |
|       CHARACTER*6        SRNAMT | |
| *     .. Common blocks .. | |
|       COMMON             /INFOC/INFOT, NOUT, OK, LERR | |
|       COMMON             /SRNAMC/SRNAMT | |
| *     .. Executable Statements .. | |
|       LERR = .TRUE. | |
|       IF( INFO.NE.INFOT )THEN | |
|          IF( INFOT.NE.0 )THEN | |
|             WRITE( NOUT, FMT = 9999 )INFO, INFOT | |
|          ELSE | |
|             WRITE( NOUT, FMT = 9997 )INFO | |
|          END IF | |
|          OK = .FALSE. | |
|       END IF | |
|       IF( SRNAME.NE.SRNAMT )THEN | |
|          WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT | |
|          OK = .FALSE. | |
|       END IF | |
|       RETURN | |
| * | |
|  9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', | |
|      $      ' OF ', I2, ' *******' ) | |
|  9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', | |
|      $      'AD OF ', A6, ' *******' ) | |
|  9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, | |
|      $      ' *******' ) | |
| * | |
| *     End of XERBLA | |
| * | |
|       END | |
| 
 |