c_zblat3.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

         CA =  'CblasConjTrans'
      END IF
      IF (DIAG.EQ.'N')THEN
         CD =  '  CblasNonUnit'
      ELSE
         CD =  '     CblasUnit'
      END IF
      IF (IORDER.EQ.1)THEN
         CRC = ' CblasRowMajor'
      ELSE 
         CRC = ' CblasColMajor'
      END IF
      WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
      WRITE(NOUT, FMT = 9994)CA, CD, M, N, ALPHA, LDA, LDB

 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
 9994 FORMAT( 10X, 2( A14, ',') , 2( I3, ',' ), ' (', F4.1, ',',
     $    F4.1, '), A,', I3, ', B,', I3, ').' )
      END
*
      SUBROUTINE ZCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
     $                  FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
     $                  A, AA, AS, B, BB, BS, C, CC, CS, CT, G,
     $                  IORDER )
*
*  Tests ZHERK and ZSYRK.
*
*  Auxiliary routine for test program for Level 3 Blas.
*
*  -- Written on 8-February-1989.
*     Jack Dongarra, Argonne National Laboratory.
*     Iain Duff, AERE Harwell.
*     Jeremy Du Croz, Numerical Algorithms Group Ltd.
*     Sven Hammarling, Numerical Algorithms Group Ltd.
*
*     .. Parameters ..
      COMPLEX*16         ZERO
      PARAMETER          ( ZERO = ( 0.0D0, 0.0D0 ) )
      DOUBLE PRECISION   RONE, RZERO
      PARAMETER          ( RONE = 1.0D0, RZERO = 0.0D0 )
*     .. Scalar Arguments ..
      DOUBLE PRECISION   EPS, THRESH
      INTEGER            NALF, NBET, NIDIM, 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 ), B( NMAX, NMAX ),
     $                   BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
     $                   C( NMAX, NMAX ), CC( NMAX*NMAX ),
     $                   CS( NMAX*NMAX ), CT( NMAX )
      DOUBLE PRECISION   G( NMAX )
      INTEGER            IDIM( NIDIM )
*     .. Local Scalars ..
      COMPLEX*16         ALPHA, ALS, BETA, BETS
      DOUBLE PRECISION   ERR, ERRMAX, RALPHA, RALS, RBETA, RBETS
      INTEGER            I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS,
     $                   LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA,
     $                   NARGS, NC, NS
      LOGICAL            CONJ, NULL, RESET, SAME, TRAN, UPPER
      CHARACTER*1        TRANS, TRANSS, TRANST, UPLO, UPLOS
      CHARACTER*2        ICHT, ICHU
*     .. Local Arrays ..
      LOGICAL            ISAME( 13 )
*     .. External Functions ..
      LOGICAL            LZE, LZERES
      EXTERNAL           LZE, LZERES
*     .. External Subroutines ..
      EXTERNAL           CZHERK, ZMAKE, ZMMCH, CZSYRK
*     .. Intrinsic Functions ..
      INTRINSIC          DCMPLX, MAX, DBLE
*     .. Scalars in Common ..
      INTEGER            INFOT, NOUTC
      LOGICAL            LERR, OK
*     .. Common blocks ..
      COMMON             /INFOC/INFOT, NOUTC, OK, LERR
*     .. Data statements ..
      DATA               ICHT/'NC'/, ICHU/'UL'/
*     .. Executable Statements ..
      CONJ = SNAME( 8: 9 ).EQ.'he'
*
      NARGS = 10
      NC = 0
      RESET = .TRUE.
      ERRMAX = RZERO
*
      DO 100 IN = 1, NIDIM
         N = IDIM( IN )
*        Set LDC to 1 more than minimum value if room.
         LDC = N
         IF( LDC.LT.NMAX )
     $      LDC = LDC + 1
*        Skip tests if not enough room.
         IF( LDC.GT.NMAX )
     $      GO TO 100
         LCC = LDC*N
*
         DO 90 IK = 1, NIDIM
            K = IDIM( IK )
*
            DO 80 ICT = 1, 2
               TRANS = ICHT( ICT: ICT )
               TRAN = TRANS.EQ.'C'
               IF( TRAN.AND..NOT.CONJ )
     $            TRANS = 'T'
               IF( TRAN )THEN
                  MA = K
                  NA = N
               ELSE
                  MA = N
                  NA = K
               END IF
*              Set LDA to 1 more than minimum value if room.
               LDA = MA
               IF( LDA.LT.NMAX )
     $            LDA = LDA + 1
*              Skip tests if not enough room.
               IF( LDA.GT.NMAX )
     $            GO TO 80
               LAA = LDA*NA
*
*              Generate the matrix A.
*
               CALL ZMAKE( 'ge', ' ', ' ', MA, NA, A, NMAX, AA, LDA,
     $                     RESET, ZERO )
*
               DO 70 ICU = 1, 2
                  UPLO = ICHU( ICU: ICU )
                  UPPER = UPLO.EQ.'U'
*
                  DO 60 IA = 1, NALF
                     ALPHA = ALF( IA )
                     IF( CONJ )THEN
                        RALPHA = DBLE( ALPHA )
                        ALPHA = DCMPLX( RALPHA, RZERO )
                     END IF
*
                     DO 50 IB = 1, NBET
                        BETA = BET( IB )
                        IF( CONJ )THEN
                           RBETA = DBLE( BETA )
                           BETA = DCMPLX( RBETA, RZERO )
                        END IF
                        NULL = N.LE.0
                        IF( CONJ )
     $                     NULL = NULL.OR.( ( K.LE.0.OR.RALPHA.EQ.
     $                            RZERO ).AND.RBETA.EQ.RONE )
*
*                       Generate the matrix C.
*
                        CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, C,
     $                              NMAX, CC, LDC, RESET, ZERO )
*
                        NC = NC + 1
*
*                       Save every datum before calling the subroutine.
*
                        UPLOS = UPLO
                        TRANSS = TRANS
                        NS = N
                        KS = K
                        IF( CONJ )THEN
                           RALS = RALPHA
                        ELSE
                           ALS = ALPHA
                        END IF
                        DO 10 I = 1, LAA
                           AS( I ) = AA( I )
   10                   CONTINUE
                        LDAS = LDA
                        IF( CONJ )THEN
                           RBETS = RBETA
                        ELSE
                           BETS = BETA
                        END IF
                        DO 20 I = 1, LCC
                           CS( I ) = CC( I )
   20                   CONTINUE
                        LDCS = LDC
*
*                       Call the subroutine.
*
                        IF( CONJ )THEN
                           IF( TRACE )
     $                        CALL ZPRCN6( NTRA, NC, SNAME, IORDER,
     $                        UPLO, TRANS, N, K, RALPHA, LDA, RBETA,
     $                        LDC)
                           IF( REWI )
     $                        REWIND NTRA
                           CALL CZHERK( IORDER, UPLO, TRANS, N, K,
     $                                 RALPHA, AA, LDA, RBETA, CC,
     $                                 LDC )
                        ELSE
                           IF( TRACE )
     $                        CALL ZPRCN4( NTRA, NC, SNAME, IORDER,
     $                        UPLO, TRANS, N, K, ALPHA, LDA, BETA, LDC)
                           IF( REWI )
     $                        REWIND NTRA
                           CALL CZSYRK( IORDER, UPLO, TRANS, N, K,
     $                                 ALPHA, AA, LDA, BETA, CC, LDC )
                        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 ) = UPLOS.EQ.UPLO
                        ISAME( 2 ) = TRANSS.EQ.TRANS
                        ISAME( 3 ) = NS.EQ.N
                        ISAME( 4 ) = KS.EQ.K
                        IF( CONJ )THEN
                           ISAME( 5 ) = RALS.EQ.RALPHA
                        ELSE
                           ISAME( 5 ) = ALS.EQ.ALPHA
                        END IF
                        ISAME( 6 ) = LZE( AS, AA, LAA )
                        ISAME( 7 ) = LDAS.EQ.LDA
                        IF( CONJ )THEN
                           ISAME( 8 ) = RBETS.EQ.RBETA
                        ELSE
                           ISAME( 8 ) = BETS.EQ.BETA
                        END IF
                        IF( NULL )THEN
                           ISAME( 9 ) = LZE( CS, CC, LCC )
                        ELSE
                           ISAME( 9 ) = LZERES( SNAME( 8: 9 ), UPLO, N,
     $                                  N, CS, CC, LDC )
                        END IF
                        ISAME( 10 ) = LDCS.EQ.LDC
*
*                       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( CONJ )THEN
                              TRANST = 'C'
                           ELSE
                              TRANST = 'T'
                           END IF
                           JC = 1
                           DO 40 J = 1, N
                              IF( UPPER )THEN
                                 JJ = 1
                                 LJ = J
                              ELSE
                                 JJ = J
                                 LJ = N - J + 1
                              END IF
                              IF( TRAN )THEN
                                 CALL ZMMCH( TRANST, 'N', LJ, 1, K,
     $                                       ALPHA, A( 1, JJ ), NMAX,
     $                                       A( 1, J ), NMAX, BETA,
     $                                       C( JJ, J ), NMAX, CT, G,
     $                                       CC( JC ), LDC, EPS, ERR,
     $                                       FATAL, NOUT, .TRUE. )
                              ELSE
                                 CALL ZMMCH( 'N', TRANST, LJ, 1, K,
     $                                       ALPHA, A( JJ, 1 ), NMAX,
     $                                       A( J, 1 ), NMAX, BETA,
     $                                       C( JJ, J ), NMAX, CT, G,
     $                                       CC( JC ), LDC, EPS, ERR,
     $                                       FATAL, NOUT, .TRUE. )
                              END IF
                              IF( UPPER )THEN
                                 JC = JC + LDC
                              ELSE
                                 JC = JC + LDC + 1
                              END IF
                              ERRMAX = MAX( ERRMAX, ERR )
*                             If got really bad answer, report and
*                             return.
                              IF( FATAL )
     $                           GO TO 110
   40                      CONTINUE
                        END IF
*
   50                CONTINUE
*
   60             CONTINUE
*
   70          CONTINUE
*
   80       CONTINUE
*
   90    CONTINUE
*
  100 CONTINUE
*
*     Report result.
*
      IF( ERRMAX.LT.THRESH )THEN
         IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
         IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
      ELSE
         IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
         IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
      END IF
      GO TO 130
*
  110 CONTINUE
      IF( N.GT.1 )
     $   WRITE( NOUT, FMT = 9995 )J
*
  120 CONTINUE
      WRITE( NOUT, FMT = 9996 )SNAME
      IF( CONJ )THEN
      CALL ZPRCN6( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, RALPHA,
     $   LDA, rBETA, LDC)
      ELSE
      CALL ZPRCN4( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,
     $   LDA, BETA, LDC)
      END IF
*
  130 CONTINUE
      RETURN
*
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR    COMPUTATIONAL ',
     $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
     $ 'RATIO ', F8.2, ' - SUSPECT *******' )
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
     $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
     $ 'RATIO ', F8.2, ' - SUSPECT *******' )
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR    COMPUTATIONAL TESTS',
     $ ' (', I6, ' CALL', 'S)' )
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
     $ ' (', I6, ' CALL', 'S)' )
 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
     $      'ANGED INCORRECTLY *******' )
 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
 9995 FORMAT( '      THESE ARE THE RESULTS FOR COLUMN ', I3 )
 9994 FORMAT(1X, I6, ': ', A12,'(', 2( '''', A