Sat Jul 15 14:17:58 2023

quadrilateral_witherden_rule_test():
  Python version: 3.8.10
  Test quadrilateral_witherden_rule().

quadrilateral_witherden_rule_test01():
  Quadrature rule for the unit quadrilateral,
  Precision p = 5

     I      W          X           Y

     0    0.204082    0.841565         0.5
     1    0.204082         0.5    0.841565
     2    0.204082    0.158435         0.5
     3    0.204082         0.5    0.158435
     4   0.0459184    0.940959    0.940959
     5   0.0459184    0.940959   0.0590414
     6   0.0459184   0.0590414    0.940959
     7   0.0459184   0.0590414   0.0590414

  Weight Sum  1.0

quadrilateral_witherden_rule_test02():
  Test the precision of a quadrature rule for the unit quadrilateral.

  Stated precision of rule    =  5
  Number of quadrature points =  8

  Degree  Maximum error

   0     1.110223024625157e-16
   1     1.110223024625157e-16
   2     5.551115123125783e-17
   3     2.775557561562891e-17
   4     2.775557561562891e-17
   5     2.775557561562891e-17
   6     0.0003086419753086378
   7      0.000817901234567861

quadrilateral_witherden_rule_test03():
  Test the precision of quadrature rules for the unit quadrilateral.
  Check rules of precision p = 0 through 21
  for error in approximating integrals of monomials.

              maximum                   maximum
   p          absolute                  relative
              error                     error

   0                         0                         0
   1                         0                         0
   2     5.551115123125783e-17     1.665334536937735e-16
   3     5.551115123125783e-17     1.665334536937735e-16
   4     1.110223024625157e-16     2.220446049250313e-16
   5     1.110223024625157e-16     2.220446049250313e-16
   6     5.551115123125783e-17     2.081668171172169e-16
   7     5.551115123125783e-17     2.081668171172169e-16
   8     8.326672684688674e-17     8.673617379884035e-16
   9     8.326672684688674e-17     1.040834085586084e-15
  10     4.440892098500626e-16     1.110223024625157e-15
  11     4.440892098500626e-16     1.311450947838466e-15
  12     8.881784197001252e-16      1.77635683940025e-15
  13     8.881784197001252e-16      1.77635683940025e-15
  14     2.775557561562891e-17     8.881784197001252e-16
  15     2.775557561562891e-17     8.881784197001252e-16
  16     6.661338147750939e-16     1.360023205165817e-15
  17     6.661338147750939e-16     1.360023205165817e-15
  18     7.771561172376096e-16     5.377642775528102e-15
  19     7.771561172376096e-16     5.724587470723463e-15
  20     2.220446049250313e-16     2.480654570646834e-15
  21     2.220446049250313e-16     2.480654570646834e-15

quadrilateral_witherden_rule_test():
  Normal end of execution.
Sat Jul 15 14:17:58 2023