25 March 2020 01:40:49 PM

LINE_FELIPPA_RULE_TEST
  C++ version
  Test the LINE_FELIPPA_RULE library.

LINE_MONOMIAL_TEST
  For a line segment in 1D,
  LINE_MONOMIAL returns the exact value of the
  integral of X^EXPON

  Volume = 1

     EXPON      INTEGRAL

         0               1
         1             0.5
         2        0.333333
         3            0.25
         4             0.2

LINE_QUAD_TEST
  For a line segment in 1D,
  we approximate monomial integrals with:
  LINE_UNIT_O01, a 1 point rule.
  LINE_UNIT_O02, a 2 point rule.
  LINE_UNIT_O03, a 3 point rule.
  LINE_UNIT_O04, a 4 point rule.
  LINE_UNIT_O05, a 5 point rule.

  Monomial exponent:   0

       1               1
       2               1
       3               1
       4               1
       5               1

   Exact               1

  Monomial exponent:   1

       1             0.5
       2             0.5
       3             0.5
       4             0.5
       5             0.5

   Exact             0.5

  Monomial exponent:   2

       1            0.25
       2        0.333333
       3        0.333333
       4        0.333333
       5        0.333333

   Exact        0.333333

  Monomial exponent:   3

       1           0.125
       2            0.25
       3            0.25
       4            0.25
       5            0.25

   Exact            0.25

  Monomial exponent:   4

       1          0.0625
       2        0.194444
       3             0.2
       4             0.2
       5             0.2

   Exact             0.2

  Monomial exponent:   5

       1         0.03125
       2        0.152778
       3        0.166667
       4        0.166667
       5        0.166667

   Exact        0.166667

  Monomial exponent:   6

       1        0.015625
       2         0.12037
       3          0.1425
       4        0.142857
       5        0.142857

   Exact        0.142857

  Monomial exponent:   7

       1       0.0078125
       2       0.0949074
       3         0.12375
       4           0.125
       5           0.125

   Exact           0.125

  Monomial exponent:   8

       1      0.00390625
       2       0.0748457
       3        0.108458
       4        0.111088
       5        0.111111

   Exact        0.111111

  Monomial exponent:   9

       1      0.00195312
       2       0.0590278
       3       0.0955625
       4        0.099898
       5             0.1

   Exact             0.1

  Monomial exponent:   10

       1     0.000976562
       2       0.0465535
       3       0.0844563
       4       0.0906414
       5       0.0909077

   Exact       0.0909091

LINE_FELIPPA_RULE_TEST
  Normal end of execution.

25 March 2020 01:40:49 PM