c_sblat3.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

     $                   C( NMAX, NMAX ), CT( NMAX ), G( NMAX )
      INTEGER            IDIM( NIDIM )
*     .. Local Scalars ..
      REAL               ALPHA, ALS, ERR, ERRMAX
      INTEGER            I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB,
     $                   LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC,
     $                   NS
      LOGICAL            LEFT, NULL, RESET, SAME
      CHARACTER*1        DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO,
     $                   UPLOS
      CHARACTER*2        ICHD, ICHS, ICHU
      CHARACTER*3        ICHT
*     .. Local Arrays ..
      LOGICAL            ISAME( 13 )
*     .. External Functions ..
      LOGICAL            LSE, LSERES
      EXTERNAL           LSE, LSERES
*     .. External Subroutines ..
      EXTERNAL           SMAKE, SMMCH, CSTRMM, CSTRSM
*     .. Intrinsic Functions ..
      INTRINSIC          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'/, ICHS/'LR'/
*     .. Executable Statements ..
*
      NARGS = 11
      NC = 0
      RESET = .TRUE.
      ERRMAX = ZERO
*     Set up zero matrix for SMMCH.
      DO 20 J = 1, NMAX
         DO 10 I = 1, NMAX
            C( I, J ) = ZERO
   10    CONTINUE
   20 CONTINUE
*
      DO 140 IM = 1, NIDIM
         M = IDIM( IM )
*
         DO 130 IN = 1, NIDIM
            N = IDIM( IN )
*           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 130
            LBB = LDB*N
            NULL = M.LE.0.OR.N.LE.0
*
            DO 120 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 130
               LAA = LDA*NA
*
               DO 110 ICU = 1, 2
                  UPLO = ICHU( ICU: ICU )
*
                  DO 100 ICT = 1, 3
                     TRANSA = ICHT( ICT: ICT )
*
                     DO 90 ICD = 1, 2
                        DIAG = ICHD( ICD: ICD )
*
                        DO 80 IA = 1, NALF
                           ALPHA = ALF( IA )
*
*                          Generate the matrix A.
*
                           CALL SMAKE( 'TR', UPLO, DIAG, NA, NA, A,
     $                                 NMAX, AA, LDA, RESET, ZERO )
*
*                          Generate the matrix B.
*
                           CALL SMAKE( 'GE', ' ', ' ', M, N, B, NMAX,
     $                                 BB, LDB, RESET, ZERO )
*
                           NC = NC + 1
*
*                          Save every datum before calling the
*                          subroutine.
*
                           SIDES = SIDE
                           UPLOS = UPLO
                           TRANAS = TRANSA
                           DIAGS = DIAG
                           MS = M
                           NS = N
                           ALS = ALPHA
                           DO 30 I = 1, LAA
                              AS( I ) = AA( I )
   30                      CONTINUE
                           LDAS = LDA
                           DO 40 I = 1, LBB
                              BS( I ) = BB( I )
   40                      CONTINUE
                           LDBS = LDB
*
*                          Call the subroutine.
*
                           IF( SNAME( 10: 11 ).EQ.'mm' )THEN
                              IF( TRACE )
     $                           CALL SPRCN3( NTRA, NC, SNAME, IORDER,
     $                           SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
     $                           LDA, LDB)
                              IF( REWI )
     $                           REWIND NTRA
                              CALL CSTRMM( IORDER, SIDE, UPLO, TRANSA,
     $                                    DIAG, M, N, ALPHA, AA, LDA,
     $                                    BB, LDB )
                           ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
                              IF( TRACE )
     $                           CALL SPRCN3( NTRA, NC, SNAME, IORDER,
     $                           SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
     $                           LDA, LDB)
                              IF( REWI )
     $                           REWIND NTRA
                              CALL CSTRSM( IORDER, SIDE, UPLO, TRANSA,
     $                                    DIAG, M, N, ALPHA, AA, LDA,
     $                                    BB, LDB )
                           END IF
*
*                          Check if error-exit was taken incorrectly.
*
                           IF( .NOT.OK )THEN
                              WRITE( NOUT, FMT = 9994 )
                              FATAL = .TRUE.
                              GO TO 150
                           END IF
*
*                          See what data changed inside subroutines.
*
                           ISAME( 1 ) = SIDES.EQ.SIDE
                           ISAME( 2 ) = UPLOS.EQ.UPLO
                           ISAME( 3 ) = TRANAS.EQ.TRANSA
                           ISAME( 4 ) = DIAGS.EQ.DIAG
                           ISAME( 5 ) = MS.EQ.M
                           ISAME( 6 ) = NS.EQ.N
                           ISAME( 7 ) = ALS.EQ.ALPHA
                           ISAME( 8 ) = LSE( AS, AA, LAA )
                           ISAME( 9 ) = LDAS.EQ.LDA
                           IF( NULL )THEN
                              ISAME( 10 ) = LSE( BS, BB, LBB )
                           ELSE
                              ISAME( 10 ) = LSERES( 'GE', ' ', M, N, BS,
     $                                      BB, LDB )
                           END IF
                           ISAME( 11 ) = LDBS.EQ.LDB
*
*                          If data was incorrectly changed, report and
*                          return.
*
                           SAME = .TRUE.
                           DO 50 I = 1, NARGS
                              SAME = SAME.AND.ISAME( I )
                              IF( .NOT.ISAME( I ) )
     $                           WRITE( NOUT, FMT = 9998 )I+1
   50                      CONTINUE
                           IF( .NOT.SAME )THEN
                              FATAL = .TRUE.
                              GO TO 150
                           END IF
*
                           IF( .NOT.NULL )THEN
                              IF( SNAME( 10: 11 ).EQ.'mm' )THEN
*
*                                Check the result.
*
                                 IF( LEFT )THEN
                                    CALL SMMCH( TRANSA, 'N', M, N, M,
     $                                          ALPHA, A, NMAX, B, NMAX,
     $                                          ZERO, C, NMAX, CT, G,
     $                                          BB, LDB, EPS, ERR,
     $                                          FATAL, NOUT, .TRUE. )
                                 ELSE
                                    CALL SMMCH( 'N', TRANSA, M, N, N,
     $                                          ALPHA, B, NMAX, A, NMAX,
     $                                          ZERO, C, NMAX, CT, G,
     $                                          BB, LDB, EPS, ERR,
     $                                          FATAL, NOUT, .TRUE. )
                                 END IF
                              ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
*
*                                Compute approximation to original
*                                matrix.
*
                                 DO 70 J = 1, N
                                    DO 60 I = 1, M
                                       C( I, J ) = BB( I + ( J - 1 )*
     $                                             LDB )
                                       BB( I + ( J - 1 )*LDB ) = ALPHA*
     $                                    B( I, J )
   60                               CONTINUE
   70                            CONTINUE
*
                                 IF( LEFT )THEN
                                    CALL SMMCH( TRANSA, 'N', M, N, M,
     $                                          ONE, A, NMAX, C, NMAX,
     $                                          ZERO, B, NMAX, CT, G,
     $                                          BB, LDB, EPS, ERR,
     $                                          FATAL, NOUT, .FALSE. )
                                 ELSE
                                    CALL SMMCH( 'N', TRANSA, M, N, N,
     $                                          ONE, C, NMAX, A, NMAX,
     $                                          ZERO, B, NMAX, CT, G,
     $                                          BB, LDB, EPS, ERR,
     $                                          FATAL, NOUT, .FALSE. )
                                 END IF
                              END IF
                              ERRMAX = MAX( ERRMAX, ERR )
*                             If got really bad answer, report and
*                             return.
                              IF( FATAL )
     $                           GO TO 150
                           END IF
*
   80                   CONTINUE
*
   90                CONTINUE
*
  100             CONTINUE
*
  110          CONTINUE
*
  120       CONTINUE
*
  130    CONTINUE
*
  140 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 160
*
  150 CONTINUE
      WRITE( NOUT, FMT = 9996 )SNAME
      CALL SPRCN3( NTRA, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, DIAG,
     $      M, N, ALPHA, LDA, LDB)
*
  160 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,'(', 4( '''', A1, ''',' ), 2( I3, ',' ),
     $      F4.1, ', A,', I3, ', B,', I3, ')        .' )
 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
     $      '******' )
*
*     End of SCHK3.
*
      END
*
      SUBROUTINE SPRCN3(NOUT, NC, SNAME, IORDER, SIDE, UPLO, TRANSA,
     $                 DIAG, M, N, ALPHA, LDA, LDB)
      INTEGER          NOUT, NC, IORDER, M, N, LDA, LDB
      REAL             ALPHA
      CHARACTER*1      SIDE, UPLO, TRANSA, DIAG
      CHARACTER*12     SNAME
      CHARACTER*14     CRC, CS, CU, CA, CD
      
      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 (TRANSA.EQ.'N')THEN
         CA = '  CblasNoTrans'
      ELSE IF (TRANSA.EQ.'T')THEN
         CA = '    CblasTrans'
      ELSE 
         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( 22X, 2( A14, ',') , 2( I3, ',' ), 
     $      F4.1, ', A,', I3, ', B,', I3, ').' )
      END
*
      SUBROUTINE SCHK4( 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 SSYRK.
*
*  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 ..
      REAL               ZERO
      PARAMETER          ( ZERO = 0.0 )
*     .. Scalar Arguments ..
      REAL               EPS, THRESH
      INTEGER            NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
      LOGICAL            FATAL, REWI, TRACE
      CHARACTER*12        SNAME
*     .. Array Arguments ..
      REAL               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 ),