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📄 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
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     $                   CS( NMAX*NMAX ), CT( NMAX ), G( NMAX )      INTEGER            IDIM( NIDIM )*     .. Local Scalars ..      REAL               ALPHA, ALS, BETA, BETS, ERR, ERRMAX      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            NULL, RESET, SAME, TRAN, UPPER      CHARACTER*1        TRANS, TRANSS, UPLO, UPLOS      CHARACTER*2        ICHU      CHARACTER*3        ICHT*     .. Local Arrays ..      LOGICAL            ISAME( 13 )*     .. External Functions ..      LOGICAL            LSE, LSERES      EXTERNAL           LSE, LSERES*     .. External Subroutines ..      EXTERNAL           SMAKE, SMMCH, CSSYRK*     .. Intrinsic Functions ..      INTRINSIC          MAX*     .. Scalars in Common ..      INTEGER            INFOT, NOUTC      LOGICAL            OK*     .. Common blocks ..      COMMON             /INFOC/INFOT, NOUTC, OK*     .. Data statements ..      DATA               ICHT/'NTC'/, ICHU/'UL'/*     .. Executable Statements ..*      NARGS = 10      NC = 0      RESET = .TRUE.      ERRMAX = ZERO*      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         NULL = N.LE.0*         DO 90 IK = 1, NIDIM            K = IDIM( IK )*            DO 80 ICT = 1, 3               TRANS = ICHT( ICT: ICT )               TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'               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 SMAKE( '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 )*                     DO 50 IB = 1, NBET                        BETA = BET( IB )**                       Generate the matrix C.*                        CALL SMAKE( 'SY', 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                        ALS = ALPHA                        DO 10 I = 1, LAA                           AS( I ) = AA( I )   10                   CONTINUE                        LDAS = LDA                        BETS = BETA                        DO 20 I = 1, LCC                           CS( I ) = CC( I )   20                   CONTINUE                        LDCS = LDC**                       Call the subroutine.*                        IF( TRACE )     $                     CALL SPRCN4( NTRA, NC, SNAME, IORDER, UPLO,     $                     TRANS, N, K, ALPHA, LDA, BETA, LDC)                        IF( REWI )     $                     REWIND NTRA                        CALL CSSYRK( IORDER, UPLO, TRANS, N, K, ALPHA,     $                              AA, LDA, BETA, CC, LDC )**                       Check if error-exit was taken incorrectly.*                        IF( .NOT.OK )THEN                           WRITE( NOUT, FMT = 9993 )                           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                        ISAME( 5 ) = ALS.EQ.ALPHA                        ISAME( 6 ) = LSE( AS, AA, LAA )                        ISAME( 7 ) = LDAS.EQ.LDA                        ISAME( 8 ) = BETS.EQ.BETA                        IF( NULL )THEN                           ISAME( 9 ) = LSE( CS, CC, LCC )                        ELSE                           ISAME( 9 ) = LSERES( 'SY', 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+1   30                   CONTINUE                        IF( .NOT.SAME )THEN                           FATAL = .TRUE.                           GO TO 120                        END IF*                        IF( .NOT.NULL )THEN**                          Check the result column by column.*                           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 SMMCH( 'T', '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 SMMCH( 'N', 'T', 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      CALL SPRCN4( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,     $   LDA, BETA, LDC)*  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( '''', A1, ''',' ), 2( I3, ',' ),     $      F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ')           .' ) 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',     $      '******' )**     End of SCHK4.*      END*      SUBROUTINE SPRCN4(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,     $                 N, K, ALPHA, LDA, BETA, LDC)      INTEGER          NOUT, NC, IORDER, N, K, LDA, LDC      REAL             ALPHA, BETA      CHARACTER*1      UPLO, TRANSA      CHARACTER*12     SNAME      CHARACTER*14     CRC, CU, CA            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 (IORDER.EQ.1)THEN         CRC = ' CblasRowMajor'      ELSE          CRC = ' CblasColMajor'      END IF      WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA      WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') ) 9994 FORMAT( 20X, 2( I3, ',' ),      $      F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ').' )      END*      SUBROUTINE SCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,     $                  FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,     $                  AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,     $                  IORDER )**  Tests SSYR2K.**  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               AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ),     $                   ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ),     $                   BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ),     $                   CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),     $                   G( NMAX ), W( 2*NMAX )      INTEGER            IDIM( NIDIM )*     .. Local Scalars ..      REAL               ALPHA, ALS, BETA, BETS, ERR, ERRMAX      INTEGER            I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB,     $                   K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS,     $                   LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS      LOGICAL            NULL, RESET, SAME, TRAN, UPPER      CHARACTER*1        TRANS, TRANSS, UPLO, UPLOS      CHARACTER*2        ICHU      CHARACTER*3        ICHT*     .. Local Arrays ..      LOGICAL            ISAME( 13 )*     .. External Functions ..      LOGICAL            LSE, LSERES      EXTERNAL           LSE, LSERES*     .. External Subroutines ..      EXTERNAL           SMAKE, SMMCH, CSSYR2K*     .. Intrinsic Functions ..      INTRINSIC          MAX*     .. Scalars in Common ..      INTEGER            INFOT, NOUTC      LOGICAL            OK*     .. Common blocks ..      COMMON             /INFOC/INFOT, NOUTC, OK*     .. Data statements ..      DATA               ICHT/'NTC'/, ICHU/'UL'/*     .. Executable Statements ..*      NARGS = 12      NC = 0      RESET = .TRUE.      ERRMAX = ZERO*      DO 130 IN = 1, NIDIM         N = IDIM( IN )*        Set LDC to 1 more than minimum value if room.         LDC = N         IF( LDC.LT.NMAX )     $  

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