        --------------------------------------------
    THIS RUN TESTS ALL THE FEATURES OF THE PACKAGE FOURCO :
    .TOP-END FCOEFS WITH 3 NUM.DIFFERENTIATION ROUTINES,
     THE RESTART FEATURE AND PRECALCULATED DERIVATIVES
    .TOP-END FCOETD FOR SAMPLED FUNCTION VALUES
        --------------------------------------------

       TEST FUNCTION IS       EXP(3.E0*X)



    ...........................................
    THIS IS OUTPUT FROM PACKAGE FOURCO USING TOP-END
    FCOEFS WITH ENDACE(ACCURATE NUM.DIFFERENT. ROUTINE)
    .........................................
              IDER=  1    IFIRST=  0
              MTOP=  32    TOL=    0.10E-05

                     ESTIMATED ERROR      0.954E-06
 ERROR PARAMETER           0
           MACT           61



                        COSINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.636E+01   0.636E+01   0.477E-06
     6   0.115E+00   0.115E+00   0.291E-06
    11   0.289E-01   0.289E-01   0.745E-08
    16   0.129E-01   0.129E-01   0.186E-08
    21   0.725E-02   0.725E-02   0.931E-09
    26   0.464E-02   0.464E-02  -0.466E-09
    31   0.322E-02   0.322E-02   0.233E-09
    36   0.237E-02   0.237E-02  -0.233E-09
    41   0.181E-02   0.181E-02   0.116E-09
    46   0.143E-02   0.143E-02  -0.116E-09
    51   0.116E-02   0.116E-02  -0.116E-09
    56   0.959E-03   0.959E-03  -0.175E-09
    61   0.806E-03   0.806E-03   0.000E+00
    66   0.687E-03   0.687E-03   0.000E+00
    71   0.592E-03   0.592E-03   0.000E+00
    76   0.516E-03   0.516E-03  -0.582E-10
    81   0.453E-03   0.453E-03   0.291E-10
    86   0.401E-03   0.401E-03   0.291E-10
    91   0.358E-03   0.358E-03   0.000E+00
    96   0.321E-03   0.321E-03  -0.582E-10



                         SINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.000E+00   0.000E+00   0.000E+00
     6  -0.120E+01  -0.120E+01  -0.238E-06
    11  -0.606E+00  -0.606E+00  -0.596E-07
    16  -0.405E+00  -0.405E+00  -0.298E-07
    21  -0.304E+00  -0.304E+00   0.000E+00
    26  -0.243E+00  -0.243E+00   0.149E-07
    31  -0.202E+00  -0.202E+00  -0.298E-07
    36  -0.174E+00  -0.174E+00   0.000E+00
    41  -0.152E+00  -0.152E+00  -0.149E-07
    46  -0.135E+00  -0.135E+00   0.000E+00
    51  -0.121E+00  -0.121E+00   0.745E-08
    56  -0.110E+00  -0.110E+00   0.745E-08
    61  -0.101E+00  -0.101E+00  -0.745E-08
    66  -0.935E-01  -0.935E-01  -0.745E-08
    71  -0.868E-01  -0.868E-01  -0.745E-08
    76  -0.810E-01  -0.810E-01   0.745E-08
    81  -0.759E-01  -0.759E-01  -0.745E-08
    86  -0.715E-01  -0.715E-01  -0.745E-08
    91  -0.675E-01  -0.675E-01   0.000E+00
    96  -0.639E-01  -0.639E-01   0.000E+00


    ...........................................
    THIS IS OUTPUT FROM PACKAGE FOURCO USING TOP-END
    FCOEFS WITH CHPEND(CHEAP NUM.DIFFERENT. ROUTINE)
    .........................................
              IDER=  0    IFIRST=  0
              MTOP=  32    TOL=    0.10E-05

                     ESTIMATED ERROR     -0.191E-05
 ERROR PARAMETER           6
           MACT           53



                        COSINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.636E+01   0.636E+01   0.000E+00
     6   0.115E+00   0.115E+00  -0.745E-07
    11   0.289E-01   0.289E-01  -0.147E-06
    16   0.129E-01   0.129E-01  -0.212E-06
    21   0.725E-02   0.725E-02   0.186E-08
    26   0.464E-02   0.464E-02   0.000E+00
    31   0.322E-02   0.322E-02   0.698E-09
    36   0.237E-02   0.237E-02   0.000E+00
    41   0.181E-02   0.181E-02   0.349E-09
    46   0.143E-02   0.143E-02   0.116E-09
    51   0.116E-02   0.116E-02   0.000E+00
    56   0.959E-03   0.959E-03   0.000E+00
    61   0.806E-03   0.806E-03   0.116E-09
    66   0.687E-03   0.687E-03   0.116E-09
    71   0.592E-03   0.592E-03   0.582E-10
    76   0.516E-03   0.516E-03   0.000E+00
    81   0.453E-03   0.453E-03   0.873E-10
    86   0.401E-03   0.401E-03   0.582E-10
    91   0.358E-03   0.358E-03   0.582E-10
    96   0.321E-03   0.321E-03   0.000E+00



                         SINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.000E+00   0.000E+00   0.000E+00
     6  -0.120E+01  -0.120E+01  -0.119E-06
    11  -0.606E+00  -0.606E+00  -0.179E-06
    16  -0.405E+00  -0.405E+00  -0.209E-06
    21  -0.304E+00  -0.304E+00   0.000E+00
    26  -0.243E+00  -0.243E+00   0.149E-07
    31  -0.202E+00  -0.202E+00  -0.298E-07
    36  -0.174E+00  -0.174E+00   0.000E+00
    41  -0.152E+00  -0.152E+00  -0.149E-07
    46  -0.135E+00  -0.135E+00   0.000E+00
    51  -0.121E+00  -0.121E+00   0.745E-08
    56  -0.110E+00  -0.110E+00   0.745E-08
    61  -0.101E+00  -0.101E+00  -0.745E-08
    66  -0.935E-01  -0.935E-01  -0.745E-08
    71  -0.868E-01  -0.868E-01  -0.745E-08
    76  -0.810E-01  -0.810E-01   0.745E-08
    81  -0.759E-01  -0.759E-01  -0.745E-08
    86  -0.715E-01  -0.715E-01  -0.745E-08
    91  -0.675E-01  -0.675E-01   0.000E+00
    96  -0.639E-01  -0.639E-01   0.000E+00


    ...........................................
    THIS IS OUTPUT FROM PACKAGE FOURCO USING TOP-END
    FCOEFS WITH RESTART FEATURE
    .........................................
              IDER=  0    IFIRST=  1
              MTOP= 512    TOL=    0.10E-05

                     ESTIMATED ERROR     -0.191E-05
 ERROR PARAMETER           6
           MACT          532



                        COSINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.636E+01   0.636E+01   0.477E-06
     6   0.115E+00   0.115E+00   0.745E-08
    11   0.289E-01   0.289E-01  -0.112E-07
    16   0.129E-01   0.129E-01  -0.177E-07
    21   0.725E-02   0.725E-02  -0.838E-08
    26   0.464E-02   0.464E-02   0.135E-07
    31   0.322E-02   0.322E-02   0.244E-07
    36   0.237E-02   0.237E-02   0.200E-07
    41   0.181E-02   0.181E-02   0.538E-07
    46   0.143E-02   0.143E-02   0.675E-08
    51   0.116E-02   0.116E-02   0.185E-07
    56   0.959E-03   0.959E-03   0.931E-08
    61   0.806E-03   0.806E-03  -0.625E-07
    66   0.687E-03   0.687E-03  -0.698E-08
    71   0.592E-03   0.592E-03   0.425E-07
    76   0.516E-03   0.516E-03   0.273E-07
    81   0.453E-03   0.453E-03  -0.714E-07
    86   0.401E-03   0.401E-03   0.342E-07
    91   0.358E-03   0.358E-03  -0.431E-08
    96   0.321E-03   0.321E-03  -0.537E-07



                         SINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.000E+00   0.000E+00   0.000E+00
     6  -0.120E+01  -0.120E+01   0.000E+00
    11  -0.606E+00  -0.606E+00  -0.119E-06
    16  -0.405E+00  -0.405E+00  -0.298E-07
    21  -0.304E+00  -0.304E+00   0.298E-07
    26  -0.243E+00  -0.243E+00   0.447E-07
    31  -0.202E+00  -0.202E+00  -0.596E-07
    36  -0.174E+00  -0.174E+00  -0.149E-07
    41  -0.152E+00  -0.152E+00  -0.745E-07
    46  -0.135E+00  -0.135E+00  -0.149E-07
    51  -0.121E+00  -0.121E+00  -0.745E-08
    56  -0.110E+00  -0.110E+00  -0.224E-07
    61  -0.101E+00  -0.101E+00   0.000E+00
    66  -0.935E-01  -0.935E-01   0.447E-07
    71  -0.868E-01  -0.868E-01   0.745E-08
    76  -0.810E-01  -0.810E-01  -0.224E-07
    81  -0.759E-01  -0.759E-01  -0.596E-07
    86  -0.715E-01  -0.715E-01   0.000E+00
    91  -0.675E-01  -0.675E-01   0.224E-07
    96  -0.639E-01  -0.639E-01   0.373E-07


    ...........................................
    THIS IS OUTPUT FROM PACKAGE FOURCO USING TOP-END
    FCOEFS WITH ONESID(ONE-SIDED NUM.DIFFERENT.ROUTINE)
    .........................................
              IDER=  2    IFIRST=  0
              MTOP=  32    TOL=    0.10E-05

                     ESTIMATED ERROR     -0.286E-05
 ERROR PARAMETER           6
           MACT           49



                        COSINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.636E+01   0.636E+01   0.477E-06
     6   0.115E+00   0.115E+00   0.149E-07
    11   0.289E-01   0.289E-01  -0.102E-06
    16   0.129E-01   0.129E-01  -0.134E-06
    21   0.725E-02   0.725E-02   0.652E-07
    26   0.464E-02   0.464E-02   0.340E-07
    31   0.322E-02   0.322E-02   0.214E-07
    36   0.237E-02   0.237E-02   0.144E-07
    41   0.181E-02   0.181E-02   0.108E-07
    46   0.143E-02   0.143E-02   0.803E-08
    51   0.116E-02   0.116E-02   0.640E-08
    56   0.959E-03   0.959E-03   0.506E-08
    61   0.806E-03   0.806E-03   0.437E-08
    66   0.687E-03   0.687E-03   0.361E-08
    71   0.592E-03   0.592E-03   0.309E-08
    76   0.516E-03   0.516E-03   0.262E-08
    81   0.453E-03   0.453E-03   0.239E-08
    86   0.401E-03   0.401E-03   0.210E-08
    91   0.358E-03   0.358E-03   0.186E-08
    96   0.321E-03   0.321E-03   0.163E-08



                         SINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.000E+00   0.000E+00   0.000E+00
     6  -0.120E+01  -0.120E+01   0.119E-06
    11  -0.606E+00  -0.606E+00   0.119E-06
    16  -0.405E+00  -0.405E+00   0.149E-06
    21  -0.304E+00  -0.304E+00   0.596E-07
    26  -0.243E+00  -0.243E+00   0.447E-07
    31  -0.202E+00  -0.202E+00  -0.149E-07
    36  -0.174E+00  -0.174E+00   0.000E+00
    41  -0.152E+00  -0.152E+00   0.000E+00
    46  -0.135E+00  -0.135E+00   0.000E+00
    51  -0.121E+00  -0.121E+00   0.149E-07
    56  -0.110E+00  -0.110E+00   0.149E-07
    61  -0.101E+00  -0.101E+00  -0.745E-08
    66  -0.935E-01  -0.935E-01  -0.745E-08
    71  -0.868E-01  -0.868E-01  -0.745E-08
    76  -0.810E-01  -0.810E-01   0.745E-08
    81  -0.759E-01  -0.759E-01  -0.745E-08
    86  -0.715E-01  -0.715E-01  -0.745E-08
    91  -0.675E-01  -0.675E-01   0.000E+00
    96  -0.639E-01  -0.639E-01   0.000E+00


    ...........................................
    THIS IS OUTPUT FROM PACKAGE FOURCO USING TOP-END
    FCOEFS PASSING  5 PRECALCULATED EXACT DERIVATIVES
    .........................................
              IDER= -5    IFIRST=  0
              MTOP=  32    TOL=    0.10E-05

                     ESTIMATED ERROR      0.954E-06
 ERROR PARAMETER           0
           MACT           19



                        COSINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.636E+01   0.636E+01   0.477E-06
     6   0.115E+00   0.115E+00   0.522E-07
    11   0.289E-01   0.289E-01   0.559E-08
    16   0.129E-01   0.129E-01   0.186E-08
    21   0.725E-02   0.725E-02   0.140E-08
    26   0.464E-02   0.464E-02   0.000E+00
    31   0.322E-02   0.322E-02   0.466E-09
    36   0.237E-02   0.237E-02  -0.233E-09
    41   0.181E-02   0.181E-02   0.233E-09
    46   0.143E-02   0.143E-02   0.000E+00
    51   0.116E-02   0.116E-02   0.000E+00
    56   0.959E-03   0.959E-03  -0.116E-09
    61   0.806E-03   0.806E-03   0.582E-10
    66   0.687E-03   0.687E-03   0.582E-10
    71   0.592E-03   0.592E-03   0.000E+00
    76   0.516E-03   0.516E-03  -0.582E-10
    81   0.453E-03   0.453E-03   0.582E-10
    86   0.401E-03   0.401E-03   0.291E-10
    91   0.358E-03   0.358E-03   0.291E-10
    96   0.321E-03   0.321E-03  -0.291E-10



                         SINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.000E+00   0.000E+00   0.000E+00
     6  -0.120E+01  -0.120E+01  -0.238E-06
    11  -0.606E+00  -0.606E+00  -0.596E-07
    16  -0.405E+00  -0.405E+00  -0.298E-07
    21  -0.304E+00  -0.304E+00   0.000E+00
    26  -0.243E+00  -0.243E+00   0.149E-07
    31  -0.202E+00  -0.202E+00  -0.298E-07
    36  -0.174E+00  -0.174E+00   0.000E+00
    41  -0.152E+00  -0.152E+00  -0.149E-07
    46  -0.135E+00  -0.135E+00   0.000E+00
    51  -0.121E+00  -0.121E+00   0.745E-08
    56  -0.110E+00  -0.110E+00   0.745E-08
    61  -0.101E+00  -0.101E+00  -0.745E-08
    66  -0.935E-01  -0.935E-01  -0.745E-08
    71  -0.868E-01  -0.868E-01  -0.745E-08
    76  -0.810E-01  -0.810E-01   0.745E-08
    81  -0.759E-01  -0.759E-01  -0.745E-08
    86  -0.715E-01  -0.715E-01  -0.745E-08
    91  -0.675E-01  -0.675E-01   0.000E+00
    96  -0.639E-01  -0.639E-01   0.000E+00


    ...........................................
    THIS IS OUTPUT FROM PACKAGE FOURCO USING TOP-END
    FCOETD THAT REQUIRES SAMPLED FUNCTION VALUES
    .........................................
              IDER= -5    IFIRST=  0
              MTOP=  33    TOL=    0.10E-05

                     ESTIMATED ERROR      0.271E-06
 ERROR PARAMETER           6
           MACT           19



                        COSINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.636E+01   0.636E+01   0.477E-06
     6   0.115E+00   0.115E+00   0.224E-06
    11   0.289E-01   0.289E-01  -0.391E-07
    16   0.129E-01   0.129E-01   0.624E-07
    21   0.725E-02   0.725E-02  -0.340E-07
    26   0.464E-02   0.464E-02  -0.251E-07
    31   0.322E-02   0.322E-02  -0.177E-07
    36   0.237E-02   0.237E-02  -0.140E-07
    41   0.181E-02   0.181E-02  -0.107E-07
    46   0.143E-02   0.143E-02  -0.861E-08
    51   0.116E-02   0.116E-02  -0.710E-08
    56   0.959E-03   0.959E-03  -0.600E-08
    61   0.806E-03   0.806E-03  -0.489E-08
    66   0.687E-03   0.687E-03  -0.425E-08
    71   0.592E-03   0.592E-03  -0.373E-08
    76   0.516E-03   0.516E-03  -0.326E-08
    81   0.453E-03   0.453E-03  -0.279E-08
    86   0.401E-03   0.401E-03  -0.250E-08
    91   0.358E-03   0.358E-03  -0.221E-08
    96   0.321E-03   0.321E-03  -0.207E-08



                         SINE FOURIER COEFFICIENTS

   I-1      COMPUTED     EXACT    COMPUTED-EXACT

     1   0.000E+00   0.000E+00   0.000E+00
     6  -0.120E+01  -0.120E+01  -0.119E-06
    11  -0.606E+00  -0.606E+00  -0.119E-06
    16  -0.405E+00  -0.405E+00  -0.119E-06
    21  -0.304E+00  -0.304E+00  -0.298E-07
    26  -0.243E+00  -0.243E+00   0.149E-07
    31  -0.202E+00  -0.202E+00  -0.298E-07
    36  -0.174E+00  -0.174E+00   0.000E+00
    41  -0.152E+00  -0.152E+00  -0.149E-07
    46  -0.135E+00  -0.135E+00   0.000E+00
    51  -0.121E+00  -0.121E+00   0.745E-08
    56  -0.110E+00  -0.110E+00   0.745E-08
    61  -0.101E+00  -0.101E+00  -0.149E-07
    66  -0.935E-01  -0.935E-01  -0.745E-08
    71  -0.868E-01  -0.868E-01  -0.745E-08
    76  -0.810E-01  -0.810E-01   0.745E-08
    81  -0.759E-01  -0.759E-01  -0.745E-08
    86  -0.715E-01  -0.715E-01  -0.745E-08
    91  -0.675E-01  -0.675E-01   0.000E+00
    96  -0.639E-01  -0.639E-01   0.000E+00
