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

                           ISAME( 2 ) = NS.EQ.N
                           IF( FULL )THEN
                              ISAME( 3 ) = ALS.EQ.ALPHA
                              ISAME( 4 ) = LZE( AS, AA, LAA )
                              ISAME( 5 ) = LDAS.EQ.LDA
                              ISAME( 6 ) = LZE( XS, XX, LX )
                              ISAME( 7 ) = INCXS.EQ.INCX
                              ISAME( 8 ) = BLS.EQ.BETA
                              IF( NULL )THEN
                                 ISAME( 9 ) = LZE( YS, YY, LY )
                              ELSE
                                 ISAME( 9 ) = LZERES( 'ge', ' ', 1, N,
     $                                        YS, YY, ABS( INCY ) )
                              END IF
                              ISAME( 10 ) = INCYS.EQ.INCY
                           ELSE IF( BANDED )THEN
                              ISAME( 3 ) = KS.EQ.K
                              ISAME( 4 ) = ALS.EQ.ALPHA
                              ISAME( 5 ) = LZE( AS, AA, LAA )
                              ISAME( 6 ) = LDAS.EQ.LDA
                              ISAME( 7 ) = LZE( XS, XX, LX )
                              ISAME( 8 ) = INCXS.EQ.INCX
                              ISAME( 9 ) = BLS.EQ.BETA
                              IF( NULL )THEN
                                 ISAME( 10 ) = LZE( YS, YY, LY )
                              ELSE
                                 ISAME( 10 ) = LZERES( 'ge', ' ', 1, N,
     $                                         YS, YY, ABS( INCY ) )
                              END IF
                              ISAME( 11 ) = INCYS.EQ.INCY
                           ELSE IF( PACKED )THEN
                              ISAME( 3 ) = ALS.EQ.ALPHA
                              ISAME( 4 ) = LZE( AS, AA, LAA )
                              ISAME( 5 ) = LZE( XS, XX, LX )
                              ISAME( 6 ) = INCXS.EQ.INCX
                              ISAME( 7 ) = BLS.EQ.BETA
                              IF( NULL )THEN
                                 ISAME( 8 ) = LZE( YS, YY, LY )
                              ELSE
                                 ISAME( 8 ) = LZERES( 'ge', ' ', 1, N,
     $                                        YS, YY, ABS( INCY ) )
                              END IF
                              ISAME( 9 ) = INCYS.EQ.INCY
                           END IF
*
*                          If data was incorrectly changed, report and
*                          return.
*
                           SAME = .TRUE.
                           DO 40 I = 1, NARGS
                              SAME = SAME.AND.ISAME( I )
                              IF( .NOT.ISAME( I ) )
     $                           WRITE( NOUT, FMT = 9998 )I
   40                      CONTINUE
                           IF( .NOT.SAME )THEN
                              FATAL = .TRUE.
                              GO TO 120
                           END IF
*
                           IF( .NOT.NULL )THEN
*
*                             Check the result.
*
                              CALL ZMVCH( 'N', N, N, ALPHA, A, NMAX, X,
     $                                    INCX, BETA, Y, INCY, YT, G,
     $                                    YY, EPS, ERR, FATAL, NOUT,
     $                                    .TRUE. )
                              ERRMAX = MAX( ERRMAX, ERR )
*                             If got really bad answer, report and
*                             return.
                              IF( FATAL )
     $                           GO TO 120
                           ELSE
*                             Avoid repeating tests with N.le.0
                              GO TO 110
                           END IF
*
   50                   CONTINUE
*
   60                CONTINUE
*
   70             CONTINUE
*
   80          CONTINUE
*
   90       CONTINUE
*
  100    CONTINUE
*
  110 CONTINUE
*
*     Report result.
*
      IF( ERRMAX.LT.THRESH )THEN
         WRITE( NOUT, FMT = 9999 )SNAME, NC
      ELSE
         WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
      END IF
      GO TO 130
*
  120 CONTINUE
      WRITE( NOUT, FMT = 9996 )SNAME
      IF( FULL )THEN
         WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, LDA, INCX,
     $      BETA, INCY
      ELSE IF( BANDED )THEN
         WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
     $      INCX, BETA, INCY
      ELSE IF( PACKED )THEN
         WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
     $      BETA, INCY
      END IF
*
  130 CONTINUE
      RETURN
*
 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
     $      'S)' )
 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
     $      'ANGED INCORRECTLY *******' )
 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
     $      'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
     $      ' - SUSPECT *******' )
 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
     $      F4.1, '), AP, X,',/ 10x, I2, ',(', F4.1, ',', F4.1,
     $      '), Y,', I2, ') .' )
 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
     $      F4.1, ',', F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(',
     $      F4.1, ',', F4.1, '), Y,', I2, ') .' )
 9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
     $     F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(', F4.1, ',',
     $     F4.1, '), ', 'Y,', I2, ') .' )
 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
     $      '******' )
*
*     End of CZHK2.
*
      END
      SUBROUTINE ZCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
     $                  FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX,
     $                 INCMAX, A, AA, AS, X, XX, XS, XT, G, Z, IORDER )
*
*  Tests ZTRMV, ZTBMV, ZTPMV, ZTRSV, ZTBSV and ZTPSV.
*
*  Auxiliary routine for test program for Level 2 Blas.
*
*  -- Written on 10-August-1987.
*     Richard Hanson, Sandia National Labs.
*     Jeremy Du Croz, NAG Central Office.
*
*     .. Parameters ..
      COMPLEX*16         ZERO, HALF, ONE
      PARAMETER          ( ZERO = ( 0.0D0, 0.0D0 ),
     $                   HALF = ( 0.5D0, 0.0D0 ),
     $                   ONE = ( 1.0D0, 0.0D0 ) )
      DOUBLE PRECISION   RZERO
      PARAMETER          ( RZERO = 0.0D0 )
*     .. Scalar Arguments ..
      DOUBLE PRECISION   EPS, THRESH
      INTEGER            INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
     $                   IORDER
      LOGICAL            FATAL, REWI, TRACE
      CHARACTER*12       SNAME
*     .. Array Arguments ..
      COMPLEX*16         A( NMAX, NMAX ), AA( NMAX*NMAX ),
     $                   AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
     $                   XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX )
      DOUBLE PRECISION   G( NMAX )
      INTEGER            IDIM( NIDIM ), INC( NINC ), KB( NKB )
*     .. Local Scalars ..
      COMPLEX*16         TRANSL
      DOUBLE PRECISION   ERR, ERRMAX
      INTEGER            I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K,
     $                   KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS
      LOGICAL            BANDED, FULL, NULL, PACKED, RESET, SAME
      CHARACTER*1        DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS
      CHARACTER*14       CUPLO,CTRANS,CDIAG
      CHARACTER*2        ICHD, ICHU
      CHARACTER*3        ICHT
*     .. Local Arrays ..
      LOGICAL            ISAME( 13 )
*     .. External Functions ..
      LOGICAL            LZE, LZERES
      EXTERNAL           LZE, LZERES
*     .. External Subroutines ..
      EXTERNAL           ZMAKE, ZMVCH, CZTBMV, CZTBSV, CZTPMV,
     $                   CZTPSV, CZTRMV, CZTRSV
*     .. Intrinsic Functions ..
      INTRINSIC          ABS, MAX
*     .. Scalars in Common ..
      INTEGER            INFOT, NOUTC
      LOGICAL             OK
*     .. Common blocks ..
      COMMON             /INFOC/INFOT, NOUTC, OK
*     .. Data statements ..
      DATA               ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/
*     .. Executable Statements ..
      FULL = SNAME( 9: 9 ).EQ.'r'
      BANDED = SNAME( 9: 9 ).EQ.'b'
      PACKED = SNAME( 9: 9 ).EQ.'p'
*     Define the number of arguments.
      IF( FULL )THEN
         NARGS = 8
      ELSE IF( BANDED )THEN
         NARGS = 9
      ELSE IF( PACKED )THEN
         NARGS = 7
      END IF
*
      NC = 0
      RESET = .TRUE.
      ERRMAX = RZERO
*     Set up zero vector for ZMVCH.
      DO 10 I = 1, NMAX
         Z( I ) = ZERO
   10 CONTINUE
*
      DO 110 IN = 1, NIDIM
         N = IDIM( IN )
*
         IF( BANDED )THEN
            NK = NKB
         ELSE
            NK = 1
         END IF
         DO 100 IK = 1, NK
            IF( BANDED )THEN
               K = KB( IK )
            ELSE
               K = N - 1
            END IF
*           Set LDA to 1 more than minimum value if room.
            IF( BANDED )THEN
               LDA = K + 1
            ELSE
               LDA = N
            END IF
            IF( LDA.LT.NMAX )
     $         LDA = LDA + 1
*           Skip tests if not enough room.
            IF( LDA.GT.NMAX )
     $         GO TO 100
            IF( PACKED )THEN
               LAA = ( N*( N + 1 ) )/2
            ELSE
               LAA = LDA*N
            END IF
            NULL = N.LE.0
*
            DO 90 ICU = 1, 2
               UPLO = ICHU( ICU: ICU )
               IF (UPLO.EQ.'U')THEN
                  CUPLO = '    CblasUpper'
               ELSE 
                  CUPLO = '    CblasLower'
               END IF
*
               DO 80 ICT = 1, 3
                  TRANS = ICHT( ICT: ICT )
                  IF (TRANS.EQ.'N')THEN
                     CTRANS = '  CblasNoTrans'
                  ELSE IF (TRANS.EQ.'T')THEN
                     CTRANS = '    CblasTrans'
                  ELSE 
                     CTRANS = 'CblasConjTrans'
                  END IF
*
                  DO 70 ICD = 1, 2
                     DIAG = ICHD( ICD: ICD )
                     IF (DIAG.EQ.'N')THEN
                        CDIAG = '  CblasNonUnit'
                     ELSE
                        CDIAG = '     CblasUnit'
                     END IF
*
*                    Generate the matrix A.
*
                     TRANSL = ZERO
                     CALL ZMAKE( SNAME( 8: 9 ), UPLO, DIAG, N, N, A,
     $                           NMAX, AA, LDA, K, K, RESET, TRANSL )
*
                     DO 60 IX = 1, NINC
                        INCX = INC( IX )
                        LX = ABS( INCX )*N
*
*                       Generate the vector X.
*
                        TRANSL = HALF
                        CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
     $                              ABS( INCX ), 0, N - 1, RESET,
     $                              TRANSL )
                        IF( N.GT.1 )THEN
                           X( N/2 ) = ZERO
                           XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
                        END IF
*
                        NC = NC + 1
*
*                       Save every datum before calling the subroutine.
*
                        UPLOS = UPLO
                        TRANSS = TRANS
                        DIAGS = DIAG
                        NS = N
                        KS = K
                        DO 20 I = 1, LAA
                           AS( I ) = AA( I )
   20                   CONTINUE
                        LDAS = LDA
                        DO 30 I = 1, LX
                           XS( I ) = XX( I )
   30                   CONTINUE
                        INCXS = INCX
*
*                       Call the subroutine.
*
                        IF( SNAME( 4: 5 ).EQ.'mv' )THEN
                           IF( FULL )THEN
                              IF( TRACE )
     $                           WRITE( NTRA, FMT = 9993 )NC, SNAME,
     $                           CUPLO, CTRANS, CDIAG, N, LDA, INCX
                              IF( REWI )
     $                           REWIND NTRA
                              CALL CZTRMV( IORDER, UPLO, TRANS, DIAG,
     $                                    N, AA, LDA, XX, INCX )
                           ELSE IF( BANDED )THEN
                              IF( TRACE )
     $                           WRITE( NTRA, FMT = 9994 )NC, SNAME,
     $                           CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
                              IF( REWI )
     $                           REWIND NTRA
                              CALL CZTBMV( IORDER, UPLO, TRANS, DIAG,
     $                                    N, K, AA, LDA, XX, INCX )
                           ELSE IF( PACKED )THEN
                              IF( TRACE )
     $                           WRITE( NTRA, FMT = 9995 )NC, SNAME,
     $                           CUPLO, CTRANS, CDIAG, N, INCX
                              IF( REWI )
     $                           REWIND NTRA
                              CALL CZTPMV( IORDER, UPLO, TRANS, DIAG,
     $                                    N, AA, XX, INCX )
                           END IF
                        ELSE IF( SNAME( 4: 5 ).EQ.'sv' )THEN
                           IF( FULL )THEN