

                      DRESULTS.OUT

  THIS FILE CONTAINS THE COMPUTED RESULTS OF THE DRIVER
  PROGRAM DBVSDR, WHICH DEMONSTRATES THE USE OF THE
  SUBROUTINES DBVSIS, DBVSSC AND DBVSSE WITH SOME EXAMPLES


                      EXAMPLE  N. 1


  VALUES OF THE ERROR FLAGS :   ERRC= 0 ; ERRE= 0

  DIAGNOSTIC INFORMATION

          I       DIAGN(I)

          0           0
          1           0
          2           0
          3           0
          4           0
          5           0
          6           0
          7           0
          8           0
          9           0

  VALUES OF THE FIRST DERIVATIVES AT THE KNOTS

          I           D(I)

          0      -0.159087947
          1       0.756827151
          2       0.289082672
          3      -0.289081974
          4      -0.756825535
          5      -0.935488313
          6      -0.756826342
          7      -0.289080577
          8       0.289083319
          9       0.756828209
         10       2.387392074

  VALUES OF THE SPLINE AND ITS DERIVATIVES AT THE TABULATION  POINTS

       I        XTAB(I)        Y0TAB(I)        Y1TAB(I)        Y2TAB(I)

       0     0.000000000     0.200000000
       1     0.628318500     0.387785300
       2     1.256637000     1.151057000
       3     1.884956000     0.751056500
       4     2.513274000     0.787785200
       5     3.141593000    -0.200000100
       6     3.769911000    -0.387785300
       7     4.398230000    -1.151057000
       8     5.026548000    -0.751056500
       9     5.654867000    -0.787784900
      10     6.283185000     0.200000200

                      FURTHER EVALUATIONS


  VALUES OF THE SPLINE AND ITS DERIVATIVES AT THE TABULATION  POINTS

       I        XTAB(I)        Y0TAB(I)        Y1TAB(I)        Y2TAB(I)

       0     1.390000000                    -0.472300291    -4.418754103


                      EXAMPLE  N. 2


  VALUES OF THE ERROR FLAGS :   ERRC= 0 ; ERRE= 0

  DIAGNOSTIC INFORMATION

          I       DIAGN(I)

          0           0
          1           0
          2           0
          3           0
          4           0
          5           0
          6           0
          7           0

  VALUES OF THE FIRST AND SECOND DERIVATIVES AT THE KNOTS

          I           D(I)              D2(I)

          0       1.000000000       0.000000000
          1       0.500000000      -0.250000000
          2       0.000000000      -0.250000000
          3      -0.541666667      -0.250000000
          4      -0.833333333       0.000000000
          5      -0.541666667       0.250000000
          6       0.000000000       0.250000000
          7       0.500000000       0.250000000
          8       1.000000000       0.000000000

  VALUES OF THE SPLINE AND ITS DERIVATIVES AT THE TABULATION  POINTS

       I        XTAB(I)        Y0TAB(I)        Y1TAB(I)        Y2TAB(I)

       0     0.000000000     0.000000000                     0.000000000
       1     0.800000000     0.642986667                    -0.480000000
       2     1.600000000     0.966048000                    -0.586000000
       3     2.400000000     0.970144000                    -0.578000000
       4     3.200000000     0.633102222                    -0.613333333
       5     4.000000000     0.000000000                     0.000000000
       6     4.800000000    -0.633102222                     0.613333333
       7     5.600000000    -0.970144000                     0.578000000
       8     6.400000000    -0.966048000                     0.586000000
       9     7.200000000    -0.642986667                     0.480000000
      10     8.000000000     0.000000000                     0.000000000


                      EXAMPLE  N. 3


  VALUES OF THE ERROR FLAGS :   ERRC=11 ; ERRE= 0

  DIAGNOSTIC INFORMATION

          I       DIAGN(I)

          0           0
          1           0
          2           0
          3           0
          4           0
          5           0
          6           0
          7           0
          8           0
          9           0

  VALUES OF THE FIRST AND SECOND DERIVATIVES AT THE KNOTS

          I           D(I)              D2(I)

          0       1.000000000      -4.390254282
          1       0.000000000       0.411380511
          2       0.000000000      -1.473300607
          3       0.000000000       0.553123681
          4       0.000000000      -0.697760587
          5       0.000000000       0.000000000
          6       0.000000000       0.000000000
          7       0.000000000       1.473301230
          8       0.000000000      -0.553124034
          9       0.000000000       0.697757109
         10       0.999998464      -4.999999693

  VALUES OF THE SPLINE AND ITS DERIVATIVES AT THE TABULATION  POINTS

       I        XTAB(I)        Y0TAB(I)        Y1TAB(I)        Y2TAB(I)

       0     0.000000000     0.200000000     1.000000000
       1     0.418879000     0.387346154     0.062320677
       2     0.837758000     0.548164656     1.776824196
       3     1.256637000     1.151057000     0.000000000
       4     1.675516000     0.835808140    -0.920285411
       5     2.094395000     0.760405549     0.075775743
       6     2.513274000     0.787785200     0.000000000
       7     2.932153000     0.006557902    -2.318227415
       8     3.351032000    -0.239411661    -0.442769193
       9     3.769911000    -0.387785300     0.000000000
      10     4.188790000    -0.984480728    -1.799682322
      11     4.607669000    -1.061322842     0.934559864
      12     5.026548000    -0.751056500     0.000000000
      13     5.445427000    -0.777652602    -0.078018885
      14     5.864306000    -0.624810338     1.802920032
      15     6.283185000     0.200000200     0.999998464

                      FURTHER EVALUATIONS


  VALUES OF THE SPLINE AND ITS DERIVATIVES AT THE TABULATION  POINTS

       I        XTAB(I)        Y0TAB(I)        Y1TAB(I)        Y2TAB(I)

       0     0.000000000                                    -4.390254282
       1     0.628318500                                     0.411380511
       2     1.256637000                                    -1.473300607
       3     1.884956000                                     0.553123681
       4     2.513274000                                    -0.697760587
       5     3.141593000                                     0.000000000
       6     3.769911000                                     0.000000000
       7     4.398230000                                     1.473301230
       8     5.026548000                                    -0.553124034
       9     5.654867000                                     0.697757109
      10     6.283185000                                    -4.999999693


                      EXAMPLE  N. 4


  VALUES OF THE ERROR FLAGS :   ERRC= 0 ; ERRE= 0

  DIAGNOSTIC INFORMATION

          I       DIAGN(I)

          0           0
          1           0
          2           0
          3           0

  VALUES OF THE FIRST DERIVATIVES AT THE KNOTS

          I           D(I)

          0       0.600000000
          1       0.600000000
          2       0.000000000
          3      -0.600000000
          4      -0.600000000

  VALUES OF THE SPLINE AND ITS DERIVATIVES AT THE TABULATION  POINTS

       I        XTAB(I)        Y0TAB(I)        Y1TAB(I)        Y2TAB(I)

       0    -1.000000000     0.500000000     0.600000000
       1    -0.866666667     0.580000000     0.600000000
       2    -0.733333333     0.660000000     0.600000000
       3    -0.600000000     0.740000000     0.600000000
       4    -0.466666667     0.819970370     0.597333333
       5    -0.333333333     0.896296296     0.533333333
       6    -0.200000000     0.958400000     0.384000000
       7    -0.066666667     0.994903704     0.149333333
       8     0.066666667     0.994903704    -0.149333333
       9     0.200000000     0.958400000    -0.384000000
      10     0.333333333     0.896296296    -0.533333333
      11     0.466666667     0.819970370    -0.597333333
      12     0.600000000     0.740000000    -0.600000000
      13     0.733333333     0.660000000    -0.600000000
      14     0.866666667     0.580000000    -0.600000000
      15     1.000000000     0.500000000    -0.600000000


                      EXAMPLE  N. 5


  VALUES OF THE INPUT CONSTRAINTS

          I       CONSTR(I)

          0           1
          1           1
          2           2
          3           1
          4           1

  VALUES OF THE OUTPUT CONSTRAINTS

          I       CONSTR(I)

          0           1
          1           1
          2           2
          3           1
          4           1

  VALUES OF THE ERROR FLAGS :   ERRC= 0 ; ERRE= 0

  DIAGNOSTIC INFORMATION

          I       DIAGN(I)

          0           0
          1           0
          2           0
          3           0
          4           0

  VALUES OF THE FIRST DERIVATIVES AT THE KNOTS

          I           D(I)

          0       1.000000000
          1       1.000000000
          2       0.500000000
          3      -0.500000000
          4      -1.000000000
          5      -1.000000000

  VALUES OF THE SPLINE AND ITS DERIVATIVES AT THE TABULATION  POINTS

       I        XTAB(I)        Y0TAB(I)        Y1TAB(I)        Y2TAB(I)

       0     1.270000000     1.291752449
       1    -0.500000000    -0.500000000
       2     5.700000000    -0.700000000
       3     3.500000000     1.554687500
