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

 9995 FORMAT( 1X, I6, ': ', A12,'(''', A1, ''',''', A1, ''',',
     $     3( I3, ',' ), '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3,
     $     ',(', F4.1, ',', F4.1, '), C,', I3, ').' )
 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
     $      '******' )
*
*     End of ZCHK1.
*
      END
*
      SUBROUTINE ZPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, M, N,
     $                 K, ALPHA, LDA, LDB, BETA, LDC)
      INTEGER          NOUT, NC, IORDER, M, N, K, LDA, LDB, LDC
      DOUBLE COMPLEX   ALPHA, BETA
      CHARACTER*1      TRANSA, TRANSB
      CHARACTER*12     SNAME
      CHARACTER*14     CRC, CTA,CTB
      
      IF (TRANSA.EQ.'N')THEN
         CTA = '  CblasNoTrans'
      ELSE IF (TRANSA.EQ.'T')THEN
         CTA = '    CblasTrans'
      ELSE 
         CTA = 'CblasConjTrans'
      END IF
      IF (TRANSB.EQ.'N')THEN
         CTB = '  CblasNoTrans'
      ELSE IF (TRANSB.EQ.'T')THEN
         CTB = '    CblasTrans'
      ELSE 
         CTB = 'CblasConjTrans'
      END IF
      IF (IORDER.EQ.1)THEN
         CRC = ' CblasRowMajor'
      ELSE 
         CRC = ' CblasColMajor'
      END IF
      WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CTA,CTB
      WRITE(NOUT, FMT = 9994)M, N, K, ALPHA, LDA, LDB, BETA, LDC

 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
 9994 FORMAT( 10X, 3( I3, ',' ) ,' (', F4.1,',',F4.1,') , A,',
     $ I3, ', B,', I3, ', (', F4.1,',',F4.1,') , C,', I3, ').' )
      END
*
      SUBROUTINE ZCHK2( 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 ZHEMM and ZSYMM.
*
*  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   RZERO
      PARAMETER          ( 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, BLS
      DOUBLE PRECISION   ERR, ERRMAX
      INTEGER            I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC,
     $                   LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA,
     $                   NARGS, NC, NS
      LOGICAL            CONJ, LEFT, NULL, RESET, SAME
      CHARACTER*1        SIDE, SIDES, UPLO, UPLOS
      CHARACTER*2        ICHS, ICHU
*     .. Local Arrays ..
      LOGICAL            ISAME( 13 )
*     .. External Functions ..
      LOGICAL            LZE, LZERES
      EXTERNAL           LZE, LZERES
*     .. External Subroutines ..
      EXTERNAL           CZHEMM, ZMAKE, ZMMCH, CZSYMM
*     .. Intrinsic Functions ..
      INTRINSIC          MAX
*     .. Scalars in Common ..
      INTEGER            INFOT, NOUTC
      LOGICAL            LERR, OK
*     .. Common blocks ..
      COMMON             /INFOC/INFOT, NOUTC, OK, LERR
*     .. Data statements ..
      DATA               ICHS/'LR'/, ICHU/'UL'/
*     .. Executable Statements ..
      CONJ = SNAME( 8: 9 ).EQ.'he'
*
      NARGS = 12
      NC = 0
      RESET = .TRUE.
      ERRMAX = RZERO
*
      DO 100 IM = 1, NIDIM
         M = IDIM( IM )
*
         DO 90 IN = 1, NIDIM
            N = IDIM( IN )
*           Set LDC to 1 more than minimum value if room.
            LDC = M
            IF( LDC.LT.NMAX )
     $         LDC = LDC + 1
*           Skip tests if not enough room.
            IF( LDC.GT.NMAX )
     $         GO TO 90
            LCC = LDC*N
            NULL = N.LE.0.OR.M.LE.0
*           Set LDB to 1 more than minimum value if room.
            LDB = M
            IF( LDB.LT.NMAX )
     $         LDB = LDB + 1
*           Skip tests if not enough room.
            IF( LDB.GT.NMAX )
     $         GO TO 90
            LBB = LDB*N
*
*           Generate the matrix B.
*
            CALL ZMAKE( 'ge', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET,
     $                  ZERO )
*
            DO 80 ICS = 1, 2
               SIDE = ICHS( ICS: ICS )
               LEFT = SIDE.EQ.'L'
*
               IF( LEFT )THEN
                  NA = M
               ELSE
                  NA = N
               END IF
*              Set LDA to 1 more than minimum value if room.
               LDA = NA
               IF( LDA.LT.NMAX )
     $            LDA = LDA + 1
*              Skip tests if not enough room.
               IF( LDA.GT.NMAX )
     $            GO TO 80
               LAA = LDA*NA
*
               DO 70 ICU = 1, 2
                  UPLO = ICHU( ICU: ICU )
*
*                 Generate the hermitian or symmetric matrix A.
*
                  CALL ZMAKE(SNAME( 8: 9 ), UPLO, ' ', NA, NA, A, NMAX,
     $                        AA, LDA, RESET, ZERO )
*
                  DO 60 IA = 1, NALF
                     ALPHA = ALF( IA )
*
                     DO 50 IB = 1, NBET
                        BETA = BET( IB )
*
*                       Generate the matrix C.
*
                        CALL ZMAKE( 'ge', ' ', ' ', M, N, C, NMAX, CC,
     $                              LDC, RESET, ZERO )
*
                        NC = NC + 1
*
*                       Save every datum before calling the
*                       subroutine.
*
                        SIDES = SIDE
                        UPLOS = UPLO
                        MS = M
                        NS = N
                        ALS = ALPHA
                        DO 10 I = 1, LAA
                           AS( I ) = AA( I )
   10                   CONTINUE
                        LDAS = LDA
                        DO 20 I = 1, LBB
                           BS( I ) = BB( I )
   20                   CONTINUE
                        LDBS = LDB
                        BLS = BETA
                        DO 30 I = 1, LCC
                           CS( I ) = CC( I )
   30                   CONTINUE
                        LDCS = LDC
*
*                       Call the subroutine.
*
                        IF( TRACE )
     $                      CALL ZPRCN2(NTRA, NC, SNAME, IORDER, 
     $                      SIDE, UPLO, M, N, ALPHA, LDA, LDB, 
     $                      BETA, LDC) 
                        IF( REWI )
     $                     REWIND NTRA
                        IF( CONJ )THEN
                           CALL CZHEMM( IORDER, SIDE, UPLO, M, N,
     $                                 ALPHA, AA, LDA, BB, LDB, BETA,
     $                                 CC, LDC )
                        ELSE
                           CALL CZSYMM( IORDER, SIDE, UPLO, M, N,
     $                                 ALPHA, AA, LDA, BB, LDB, BETA,
     $                                 CC, LDC )
                        END IF
*
*                       Check if error-exit was taken incorrectly.
*
                        IF( .NOT.OK )THEN
                           WRITE( NOUT, FMT = 9994 )
                           FATAL = .TRUE.
                           GO TO 110
                        END IF
*
*                       See what data changed inside subroutines.
*
                        ISAME( 1 ) = SIDES.EQ.SIDE
                        ISAME( 2 ) = UPLOS.EQ.UPLO
                        ISAME( 3 ) = MS.EQ.M
                        ISAME( 4 ) = NS.EQ.N
                        ISAME( 5 ) = ALS.EQ.ALPHA
                        ISAME( 6 ) = LZE( AS, AA, LAA )
                        ISAME( 7 ) = LDAS.EQ.LDA
                        ISAME( 8 ) = LZE( BS, BB, LBB )
                        ISAME( 9 ) = LDBS.EQ.LDB
                        ISAME( 10 ) = BLS.EQ.BETA
                        IF( NULL )THEN
                           ISAME( 11 ) = LZE( CS, CC, LCC )
                        ELSE
                           ISAME( 11 ) = LZERES( 'ge', ' ', M, N, CS,
     $                                   CC, LDC )
                        END IF
                        ISAME( 12 ) = LDCS.EQ.LDC
*
*                       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 110
                        END IF
*
                        IF( .NOT.NULL )THEN
*
*                          Check the result.
*
                           IF( LEFT )THEN
                              CALL ZMMCH( 'N', 'N', M, N, M, ALPHA, A,
     $                                    NMAX, B, NMAX, BETA, C, NMAX,
     $                                    CT, G, CC, LDC, EPS, ERR,
     $                                    FATAL, NOUT, .TRUE. )
                           ELSE
                              CALL ZMMCH( 'N', 'N', M, N, N, ALPHA, B,
     $                                    NMAX, A, NMAX, BETA, C, NMAX,
     $                                    CT, G, CC, LDC, EPS, ERR,
     $                                    FATAL, NOUT, .TRUE. )
                           END IF
                           ERRMAX = MAX( ERRMAX, ERR )
*                          If got really bad answer, report and
*                          return.
                           IF( FATAL )
     $                        GO TO 110
                        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 120
*
  110 CONTINUE
      WRITE( NOUT, FMT = 9996 )SNAME
      CALL ZPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, ALPHA, LDA,
     $           LDB, BETA, LDC) 
*
  120 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(1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
     $      '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1,
     $      ',', F4.1, '), C,', I3, ')    .' )
 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
     $      '******' )
*
*     End of ZCHK2.
*
      END
*
      SUBROUTINE ZPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N,
     $                 ALPHA, LDA, LDB, BETA, LDC)
      INTEGER          NOUT, NC, IORDER, M, N, LDA, LDB, LDC
      DOUBLE COMPLEX   ALPHA, BETA
      CHARACTER*1      SIDE, UPLO
      CHARACTER*12     SNAME
      CHARACTER*14     CRC, CS,CU
      
      IF (SIDE.EQ.'L')THEN
         CS =  '     CblasLeft'
      ELSE 
         CS =  '    CblasRight'
      END IF
      IF (UPLO.EQ.'U')THEN
         CU =  '    CblasUpper'
      ELSE 
         CU =  '    CblasLower'
      END IF
      IF (IORDER.EQ.1)THEN