Sat May 20 15:16:23 2023

triangle_exactness_test():
  Python version: 3.8.10
  Test triangle_exactness().

triangle_exactness():
  Investigate the polynomial exactness of a quadrature
  rule for the triangle by integrating all monomials
  up to a given degree.
  The rule will be adjusted to the unit triangle.

User input:
  Quadrature rule X file = "strang5_x.txt".
  Quadrature rule W file = "strang5_w.txt".
  Quadrature rule R file = "strang5_r.txt".
  Maximum total degree to check =  5

  Degree  Exponents  Error

   0  ( 0, 0)        0.0000000000000010

   1  ( 1, 0)        0.0000000000000007
   1  ( 0, 1)        0.0000000000000007

   2  ( 2, 0)        0.0000000000000002
   2  ( 1, 1)        0.0000000000000009
   2  ( 0, 2)        0.0000000000000002

   3  ( 3, 0)        0.0000000000000011
   3  ( 2, 1)        0.0000000000000002
   3  ( 1, 2)        0.0000000000000002
   3  ( 0, 3)        0.0000000000000011

   4  ( 4, 0)        0.0000000000000020
   4  ( 3, 1)        0.0000000000000009
   4  ( 2, 2)        0.0000000000000004
   4  ( 1, 3)        0.0000000000000009
   4  ( 0, 4)        0.0000000000000020

   5  ( 5, 0)        0.0052739348671109
   5  ( 4, 1)        0.0131848371677672
   5  ( 3, 2)        0.0052739348671078
   5  ( 2, 3)        0.0052739348671078
   5  ( 1, 4)        0.0131848371677672
   5  ( 0, 5)        0.0052739348671109


triangle_exactness():
  Normal end of execution.

triangle_exactness_test():
  Normal end of execution.
Sat May 20 15:16:23 2023