c_cblat2.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

                              IF( REWI )
     $                           REWIND NTRA
                              CALL CCTRSV( IORDER, UPLO, TRANS, DIAG,
     $                                    N, AA, LDA, XX, INCX )
                           ELSE IF( BANDED )THEN
                              IF( TRACE )
     $                           WRITE( NTRA, FMT = 9994 )NC, SNAME,
     $                           CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
                              IF( REWI )
     $                           REWIND NTRA
                              CALL CCTBSV( IORDER, UPLO, TRANS, DIAG,
     $                                    N, K, AA, LDA, XX, INCX )
                           ELSE IF( PACKED )THEN
                              IF( TRACE )
     $                           WRITE( NTRA, FMT = 9995 )NC, SNAME,
     $                           CUPLO, CTRANS, CDIAG, N, INCX
                              IF( REWI )
     $                           REWIND NTRA
                              CALL CCTPSV( IORDER, UPLO, TRANS, DIAG,
     $                                    N, AA, XX, INCX )
                           END IF
                        END IF
*
*                       Check if error-exit was taken incorrectly.
*
                        IF( .NOT.OK )THEN
                           WRITE( NOUT, FMT = 9992 )
                           FATAL = .TRUE.
                           GO TO 120
                        END IF
*
*                       See what data changed inside subroutines.
*
                        ISAME( 1 ) = UPLO.EQ.UPLOS
                        ISAME( 2 ) = TRANS.EQ.TRANSS
                        ISAME( 3 ) = DIAG.EQ.DIAGS
                        ISAME( 4 ) = NS.EQ.N
                        IF( FULL )THEN
                           ISAME( 5 ) = LCE( AS, AA, LAA )
                           ISAME( 6 ) = LDAS.EQ.LDA
                           IF( NULL )THEN
                              ISAME( 7 ) = LCE( XS, XX, LX )
                           ELSE
                              ISAME( 7 ) = LCERES( 'ge', ' ', 1, N, XS,
     $                                     XX, ABS( INCX ) )
                           END IF
                           ISAME( 8 ) = INCXS.EQ.INCX
                        ELSE IF( BANDED )THEN
                           ISAME( 5 ) = KS.EQ.K
                           ISAME( 6 ) = LCE( AS, AA, LAA )
                           ISAME( 7 ) = LDAS.EQ.LDA
                           IF( NULL )THEN
                              ISAME( 8 ) = LCE( XS, XX, LX )
                           ELSE
                              ISAME( 8 ) = LCERES( 'ge', ' ', 1, N, XS,
     $                                     XX, ABS( INCX ) )
                           END IF
                           ISAME( 9 ) = INCXS.EQ.INCX
                        ELSE IF( PACKED )THEN
                           ISAME( 5 ) = LCE( AS, AA, LAA )
                           IF( NULL )THEN
                              ISAME( 6 ) = LCE( XS, XX, LX )
                           ELSE
                              ISAME( 6 ) = LCERES( 'ge', ' ', 1, N, XS,
     $                                     XX, ABS( INCX ) )
                           END IF
                           ISAME( 7 ) = INCXS.EQ.INCX
                        END IF
*
*                       If data was incorrectly changed, report and
*                       return.
*
                        SAME = .TRUE.
                        DO 40 I = 1, NARGS
                           SAME = SAME.AND.ISAME( I )
                           IF( .NOT.ISAME( I ) )
     $                        WRITE( NOUT, FMT = 9998 )I
   40                   CONTINUE
                        IF( .NOT.SAME )THEN
                           FATAL = .TRUE.
                           GO TO 120
                        END IF
*
                        IF( .NOT.NULL )THEN
                           IF( SNAME( 10: 11 ).EQ.'mv' )THEN
*
*                             Check the result.
*
                              CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X,
     $                                    INCX, ZERO, Z, INCX, XT, G,
     $                                    XX, EPS, ERR, FATAL, NOUT,
     $                                    .TRUE. )
                           ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
*
*                             Compute approximation to original vector.
*
                              DO 50 I = 1, N
                                 Z( I ) = XX( 1 + ( I - 1 )*
     $                                    ABS( INCX ) )
                                 XX( 1 + ( I - 1 )*ABS( INCX ) )
     $                              = X( I )
   50                         CONTINUE
                              CALL CMVCH( TRANS, N, N, ONE, A, NMAX, Z,
     $                                    INCX, ZERO, X, INCX, XT, G,
     $                                    XX, EPS, ERR, FATAL, NOUT,
     $                                    .FALSE. )
                           END IF
                           ERRMAX = MAX( ERRMAX, ERR )
*                          If got really bad answer, report and return.
                           IF( FATAL )
     $                        GO TO 120
                        ELSE
*                          Avoid repeating tests with N.le.0.
                           GO TO 110
                        END IF
*
   60                CONTINUE
*
   70             CONTINUE
*
   80          CONTINUE
*
   90       CONTINUE
*
  100    CONTINUE
*
  110 CONTINUE
*
*     Report result.
*
      IF( ERRMAX.LT.THRESH )THEN
         WRITE( NOUT, FMT = 9999 )SNAME, NC
      ELSE
         WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
      END IF
      GO TO 130
*
  120 CONTINUE
      WRITE( NOUT, FMT = 9996 )SNAME
      IF( FULL )THEN
         WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
     $          LDA, INCX
      ELSE IF( BANDED )THEN
         WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N, K,
     $      LDA, INCX
      ELSE IF( PACKED )THEN
         WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
     $          INCX
      END IF
*
  130 CONTINUE
      RETURN
*
 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
     $      'S)' )
 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
     $      'ANGED INCORRECTLY *******' )
 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
     $      'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
     $      ' - SUSPECT *******' )
 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
 9995 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', AP, ',
     $      'X,', I2, ') .' )
 9994 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x,  2( I3, ',' ),
     $     ' A,', I3, ', X,', I2, ') .' )
 9993 FORMAT( 1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', A,',
     $      I3, ', X,', I2, ') .' )
 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
     $      '******' )
*
*     End of CCHK3.
*
      END
      SUBROUTINE CCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
     $                  FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
     $                  INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
     $                  Z, IORDER )
*
*  Tests CGERC and CGERU.
*
*  Auxiliary routine for test program for Level 2 Blas.
*
*  -- Written on 10-August-1987.
*     Richard Hanson, Sandia National Labs.
*     Jeremy Du Croz, NAG Central Office.
*
*     .. Parameters ..
      COMPLEX            ZERO, HALF, ONE
      PARAMETER          ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
     $                   ONE = ( 1.0, 0.0 ) )
      REAL               RZERO
      PARAMETER          ( RZERO = 0.0 )
*     .. Scalar Arguments ..
      REAL               EPS, THRESH
      INTEGER            INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
     $                   IORDER
      LOGICAL            FATAL, REWI, TRACE
      CHARACTER*12       SNAME
*     .. Array Arguments ..
      COMPLEX            A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
     $                   AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
     $                   XX( NMAX*INCMAX ), Y( NMAX ),
     $                   YS( NMAX*INCMAX ), YT( NMAX ),
     $                   YY( NMAX*INCMAX ), Z( NMAX )
      REAL               G( NMAX )
      INTEGER            IDIM( NIDIM ), INC( NINC )
*     .. Local Scalars ..
      COMPLEX            ALPHA, ALS, TRANSL
      REAL               ERR, ERRMAX
      INTEGER            I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX,
     $                  IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS,
     $                   NC, ND, NS
      LOGICAL            CONJ, NULL, RESET, SAME
*     .. Local Arrays ..
      COMPLEX            W( 1 )
      LOGICAL            ISAME( 13 )
*     .. External Functions ..
      LOGICAL            LCE, LCERES
      EXTERNAL           LCE, LCERES
*     .. External Subroutines ..
      EXTERNAL           CCGERC, CCGERU, CMAKE, CMVCH
*     .. Intrinsic Functions ..
      INTRINSIC          ABS, CONJG, MAX, MIN
*     .. Scalars in Common ..
      INTEGER            INFOT, NOUTC
      LOGICAL             OK
*     .. Common blocks ..
      COMMON             /INFOC/INFOT, NOUTC, OK
*     .. Executable Statements ..
      CONJ = SNAME( 11: 11 ).EQ.'c'
*     Define the number of arguments.
      NARGS = 9
*
      NC = 0
      RESET = .TRUE.
      ERRMAX = RZERO
*
      DO 120 IN = 1, NIDIM
         N = IDIM( IN )
         ND = N/2 + 1
*
         DO 110 IM = 1, 2
            IF( IM.EQ.1 )
     $         M = MAX( N - ND, 0 )
            IF( IM.EQ.2 )
     $         M = MIN( N + ND, NMAX )
*
*           Set LDA to 1 more than minimum value if room.
            LDA = M
            IF( LDA.LT.NMAX )
     $         LDA = LDA + 1
*           Skip tests if not enough room.
            IF( LDA.GT.NMAX )
     $         GO TO 110
            LAA = LDA*N
            NULL = N.LE.0.OR.M.LE.0
*
            DO 100 IX = 1, NINC
               INCX = INC( IX )
               LX = ABS( INCX )*M
*
*              Generate the vector X.
*
               TRANSL = HALF
               CALL CMAKE( 'ge', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ),
     $                     0, M - 1, RESET, TRANSL )
               IF( M.GT.1 )THEN
                  X( M/2 ) = ZERO
                  XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
               END IF
*
               DO 90 IY = 1, NINC
                  INCY = INC( IY )
                  LY = ABS( INCY )*N
*
*                 Generate the vector Y.
*
                  TRANSL = ZERO
                  CALL CMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
     $                        ABS( INCY ), 0, N - 1, RESET, TRANSL )
                  IF( N.GT.1 )THEN
                     Y( N/2 ) = ZERO
                     YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
                  END IF
*
                  DO 80 IA = 1, NALF
                     ALPHA = ALF( IA )
*
*                    Generate the matrix A.
*
                     TRANSL = ZERO
                     CALL CMAKE(SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX,
     $                           AA, LDA, M - 1, N - 1, RESET, TRANSL )
*
                     NC = NC + 1
*
*                    Save every datum before calling the subroutine.
*
                     MS = M
                     NS = N
                     ALS = ALPHA
                     DO 10 I = 1, LAA
                        AS( I ) = AA( I )
   10                CONTINUE
                     LDAS = LDA
                     DO 20 I = 1, LX
                        XS( I ) = XX( I )
   20                CONTINUE
                     INCXS = INCX
                     DO 30 I = 1, LY
                        YS( I ) = YY( I )
   30                CONTINUE
                     INCYS = INCY
*
*                    Call the subroutine.
*
                     IF( TRACE )
     $                  WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
     $                  ALPHA, INCX, INCY, LDA
                     IF( CONJ )THEN
                        IF( REWI )
     $                     REWIND NTRA
                        CALL CCGERC( IORDER, M, N, ALPHA, XX, INCX,
     $                              YY, INCY, AA, LDA )
                     ELSE
                        IF( REWI )
     $                     REWIND NTRA
                        CALL CCGERU( IORDER, M, N, ALPHA, XX, INCX,
     $                              YY, INCY, AA, LDA )
                     END IF
*
*                    Check if error-exit was taken incorrectly.
*
                     IF( .NOT.OK )THEN
                        WRITE( NOUT, FMT = 9993 )
                        FATAL = .TRUE.
                        GO TO 140
                     END IF
*
*                    See what data changed inside subroutine.
*
                     ISAME( 1 ) = MS.EQ.M
                     ISAME( 2 ) = NS.EQ.N
                     ISAM