c_zblat2.f

基本的C语言线性代数函数库,在linux下可直接编译；在windows下要显示地申明包含

*           Test ZTRMV, 06, ZTBMV, 07, ZTPMV, 08,
*           ZTRSV, 09, ZTBSV, 10, and ZTPSV, 11.
  160      IF (CORDER) THEN
           CALL ZCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
     $                  REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
     $                  NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z, 
     $			0 )
           END IF
           IF (RORDER) THEN
           CALL ZCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
     $                  REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
     $                  NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z, 
     $			1 )
           END IF
            GO TO 200
*           Test ZGERC, 12, ZGERU, 13.
  170      IF (CORDER) THEN
           CALL ZCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
     $                  REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
     $                  NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
     $                  YT, G, Z, 0 )
           END IF
           IF (RORDER) THEN
           CALL ZCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
     $                  REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
     $                  NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
     $                  YT, G, Z, 1 )
           END IF
            GO TO 200
*           Test ZHER, 14, and ZHPR, 15.
  180      IF (CORDER) THEN
           CALL ZCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
     $                  REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
     $                  NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
     $                  YT, G, Z, 0 )
           END IF
           IF (RORDER) THEN
           CALL ZCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
     $                  REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
     $                  NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
     $                  YT, G, Z, 1 )
           END IF
            GO TO 200
*           Test ZHER2, 16, and ZHPR2, 17.
  190      IF (CORDER) THEN
           CALL ZCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
     $                  REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
     $                  NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
     $                  YT, G, Z, 0 )
           END IF
           IF (RORDER) THEN
           CALL ZCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
     $                  REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
     $                  NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
     $                  YT, G, Z, 1 )
           END IF
*
  200       IF( FATAL.AND.SFATAL )
     $         GO TO 220
         END IF
  210 CONTINUE
      WRITE( NOUT, FMT = 9982 )
      GO TO 240
*
  220 CONTINUE
      WRITE( NOUT, FMT = 9981 )
      GO TO 240
*
  230 CONTINUE
      WRITE( NOUT, FMT = 9987 )
*
  240 CONTINUE
      IF( TRACE )
     $   CLOSE ( NTRA )
      CLOSE ( NOUT )
      STOP
*
10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
10001 FORMAT( ' ROW-MAJOR DATA LAYOUT IS TESTED' )
10000 FORMAT( ' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
 9999 FORMAT(' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
     $      'S THAN', F8.2 )
 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 )
 9997 FORMAT(' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
     $      'THAN ', I2 )
 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' )
 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
     $      I2 )
 9993 FORMAT(' TESTS OF THE COMPLEX*16      LEVEL 2 BLAS', //' THE F',
     $      'OLLOWING PARAMETER VALUES WILL BE USED:' )
 9992 FORMAT( '   FOR N              ', 9I6 )
 9991 FORMAT( '   FOR K              ', 7I6 )
 9990 FORMAT( '   FOR INCX AND INCY  ', 7I6 )
 9989 FORMAT( '   FOR ALPHA          ',
     $      7('(', F4.1, ',', F4.1, ')  ', : ) )
 9988 FORMAT( '   FOR BETA           ',
     $      7('(', F4.1, ',', F4.1, ')  ', : ) )
 9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
     $      /' ******* TESTS ABANDONED *******' )
 9986 FORMAT(' SUBPROGRAM NAME ',A12, ' NOT RECOGNIZED', /' ******* T',
     $      'ESTS ABANDONED *******' )
 9985 FORMAT(' ERROR IN CMVCH -  IN-LINE DOT PRODUCTS ARE BEING EVALU',
     $      'ATED WRONGLY.', /' CMVCH WAS CALLED WITH TRANS = ', A1,
     $      ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', /
     $  ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.'
     $      , /' ******* TESTS ABANDONED *******' )
 9984 FORMAT( A12, L2 )
 9983 FORMAT( 1X,A12, ' WAS NOT TESTED' )
 9982 FORMAT( /' END OF TESTS' )
 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
*
*     End of ZBLAT2.
*
      END
      SUBROUTINE ZCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
     $                  FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
     $                  BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
     $                  XS, Y, YY, YS, YT, G, IORDER )
*
*  Tests CGEMV and CGBMV.
*
*  Auxiliary routine for test program for Level 2 Blas.
*
*  -- Written on 10-August-1987.
*     Richard Hanson, Sandia National Labs.
*     Jeremy Du Croz, NAG Central Office.
*
*     .. Parameters ..
      COMPLEX*16        ZERO, HALF
      PARAMETER         ( ZERO = ( 0.0D0, 0.0D0 ), 
     $                  HALF = ( 0.5D0, 0.0D0 ) )
      DOUBLE PRECISION  RZERO
      PARAMETER         ( RZERO = 0.0D0 )
*     .. Scalar Arguments ..
      DOUBLE PRECISION   EPS, THRESH
      INTEGER            INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
     $                   NOUT, NTRA, IORDER
      LOGICAL            FATAL, REWI, TRACE
      CHARACTER*12       SNAME
*     .. Array Arguments ..
      COMPLEX*16         A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
     $                   AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
     $                   XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
     $                   Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
     $                   YY( NMAX*INCMAX )
      DOUBLE PRECISION   G( NMAX )
      INTEGER            IDIM( NIDIM ), INC( NINC ), KB( NKB )
*     .. Local Scalars ..
      COMPLEX*16         ALPHA, ALS, BETA, BLS, TRANSL
      DOUBLE PRECISION   ERR, ERRMAX
      INTEGER            I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY,
     $                   INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA,
     $                   LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK,
     $                   NL, NS
      LOGICAL            BANDED, FULL, NULL, RESET, SAME, TRAN
      CHARACTER*1        TRANS, TRANSS
      CHARACTER*14       CTRANS
      CHARACTER*3        ICH
*     .. Local Arrays ..
      LOGICAL            ISAME( 13 )
*     .. External Functions ..
      LOGICAL            LZE, LZERES
      EXTERNAL           LZE, LZERES
*     .. External Subroutines ..
      EXTERNAL           CZGBMV, CZGEMV, ZMAKE, ZMVCH
*     .. Intrinsic Functions ..
      INTRINSIC          ABS, MAX, MIN
*     .. Scalars in Common ..
      INTEGER            INFOT, NOUTC
      LOGICAL             OK
*     .. Common blocks ..
      COMMON             /INFOC/INFOT, NOUTC, OK
*     .. Data statements ..
      DATA               ICH/'NTC'/
*     .. Executable Statements ..
      FULL = SNAME( 9: 9 ).EQ.'e'
      BANDED = SNAME( 9: 9 ).EQ.'b'
*     Define the number of arguments.
      IF( FULL )THEN
         NARGS = 11
      ELSE IF( BANDED )THEN
         NARGS = 13
      END IF
*
      NC = 0
      RESET = .TRUE.
      ERRMAX = RZERO
*
      DO 120 IN = 1, NIDIM
         N = IDIM( IN )
         ND = N/2 + 1
*
         DO 110 IM = 1, 2
            IF( IM.EQ.1 )
     $         M = MAX( N - ND, 0 )
            IF( IM.EQ.2 )
     $         M = MIN( N + ND, NMAX )
*
            IF( BANDED )THEN
               NK = NKB
            ELSE
               NK = 1
            END IF
            DO 100 IKU = 1, NK
               IF( BANDED )THEN
                  KU = KB( IKU )
                  KL = MAX( KU - 1, 0 )
               ELSE
                  KU = N - 1
                  KL = M - 1
               END IF
*              Set LDA to 1 more than minimum value if room.
               IF( BANDED )THEN
                  LDA = KL + KU + 1
               ELSE
                  LDA = M
               END IF
               IF( LDA.LT.NMAX )
     $            LDA = LDA + 1
*              Skip tests if not enough room.
               IF( LDA.GT.NMAX )
     $            GO TO 100
               LAA = LDA*N
               NULL = N.LE.0.OR.M.LE.0
*
*              Generate the matrix A.
*
               TRANSL = ZERO
               CALL ZMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
     $                     LDA, KL, KU, RESET, TRANSL )
*
               DO 90 IC = 1, 3
                  TRANS = ICH( IC: IC )
                  IF (TRANS.EQ.'N')THEN
                     CTRANS = '  CblasNoTrans'
                  ELSE IF (TRANS.EQ.'T')THEN
                     CTRANS = '    CblasTrans'
                  ELSE 
                     CTRANS = 'CblasConjTrans'
                  END IF
                  TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
*
                  IF( TRAN )THEN
                     ML = N
                     NL = M
                  ELSE
                     ML = M
                     NL = N
                  END IF
*
                  DO 80 IX = 1, NINC
                     INCX = INC( IX )
                     LX = ABS( INCX )*NL
*
*                    Generate the vector X.
*
                     TRANSL = HALF
                     CALL ZMAKE( 'ge', ' ', ' ', 1, NL, X, 1, XX,
     $                          ABS( INCX ), 0, NL - 1, RESET, TRANSL )
                     IF( NL.GT.1 )THEN
                        X( NL/2 ) = ZERO
                        XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
                     END IF
*
                     DO 70 IY = 1, NINC
                        INCY = INC( IY )
                        LY = ABS( INCY )*ML
*
                        DO 60 IA = 1, NALF
                           ALPHA = ALF( IA )
*
                           DO 50 IB = 1, NBET
                              BETA = BET( IB )
*
*                             Generate the vector Y.
*
                              TRANSL = ZERO
                              CALL ZMAKE( 'ge', ' ', ' ', 1, ML, Y, 1,
     $                                    YY, ABS( INCY ), 0, ML - 1,
     $                                    RESET, TRANSL )
*
                              NC = NC + 1
*
*                             Save every datum before calling the
*                             subroutine.
*
                              TRANSS = TRANS
                              MS = M
                              NS = N
                              KLS = KL
                              KUS = KU
                              ALS = ALPHA
                              DO 10 I = 1, LAA
                                 AS( I ) = AA( I )
   10                         CONTINUE
                              LDAS = LDA
                              DO 20 I = 1, LX
                                 XS( I ) = XX( I )
   20                         CONTINUE
                              INCXS = INCX
                              BLS = BETA
                              DO 30 I = 1, LY
                                 YS( I ) = YY( I )
   30                         CONTINUE
                              INCYS = INCY
*
*                             Call the subroutine.
*
                              IF( FULL )THEN
                                 IF( TRACE )
     $                              WRITE( NTRA, FMT = 9994 )NC, SNAME,
     $                             CTRANS, M, N, ALPHA, LDA, INCX, BETA,
     $                              INCY
                                 IF( REWI )
     $                              REWIND NTRA
                                 CALL CZGEMV( IORDER, TRANS, M, N,
     $                                      ALPHA, AA, LDA, XX, INCX,
     $                                      BETA, YY, INCY )
                              ELSE IF( BANDED )THEN
                                 IF( TRACE )
     $                              WRITE( NTRA, FMT = 9995 )NC, SNAME,
     $                              CTRANS, M, N, KL, KU, ALPHA, LDA,
     $                              INCX, BETA, INCY
                                 IF( REWI )
     $                              REWIND NTRA
                                 CALL CZGBMV( IORDER, TRANS, M, N, KL,
     $                                       KU, ALPHA, AA, LDA, XX,
     $                                       INCX, BETA, YY, INCY )
                              END IF
*
*                            Check if error-exit was taken incorrectly.
*
                              IF( .NOT.OK )THEN
                                 WRITE( NOUT, FMT = 9993 )
                                 FATAL = .TRUE.
                                 GO TO 130
                              END IF
*
*                             See what data changed inside subroutines.
*
*        IF(TRANS .NE. 'C' .OR. (INCX .GT. 0 .AND. INCY .GT. 0)) THEN 
                              ISAME( 1 ) = TRANS.EQ.TRANSS
                              ISAME( 2 ) = MS.EQ.M