Sun Jul 16 18:34:19 2023

square_symq_rule_test():
  Python version: 3.8.10
  Test square_symq_rule().

square_symq_rule_test01():
  Symmetric quadrature rule for a square.
  precision =  5

     J  W       X       Y

     0       0.0794152        0.508879       0.0170357
     1       0.0794152        0.491121        0.982964
     2         0.13795        0.889436        0.214215
     3         0.13795        0.110564        0.785785
     4        0.139778        0.114811        0.208516
     5        0.139778        0.885189        0.791484
     6        0.285714             0.5             0.5
  Weight sum 1.0

square_symq_rule_test02():
  Test the precision of a quadrature rule for the square.

  Stated precision of rule    =  5
  Number of quadrature points =  7

  Degree  Maximum error

   0                         0
   1                         0
   2     1.110223024625157e-16
   3     5.551115123125783e-17
   4     5.551115123125783e-17
   5     8.326672684688674e-17
   6     0.0004624560744359296
   7      0.001248225890155455

square_symq_rule_test02():
  Test the precision of a quadrature rule for the square.
  Check rules of precision p = 0 through 20
  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     2.220446049250313e-16
   4     5.551115123125783e-17     2.775557561562891e-16
   5     1.110223024625157e-16     4.996003610813204e-16
   6     1.110223024625157e-16      3.33066907387547e-16
   7     1.110223024625157e-16     4.163336342344337e-16
   8     4.440892098500626e-16     4.440892098500626e-16
   9     4.440892098500626e-16     4.440892098500626e-16
  10     2.220446049250313e-16     4.996003610813204e-16
  11     2.220446049250313e-16     5.828670879282072e-16
  12     2.220446049250313e-16     5.412337245047638e-16
  13     2.220446049250313e-16     3.885780586188048e-16
  14     2.220446049250313e-16     1.144917494144693e-15
  15     1.110223024625157e-16     9.020562075079397e-16
  16     6.661338147750939e-16     1.124100812432971e-15
  17     2.220446049250313e-16     1.759009604640482e-15
  18      3.33066907387547e-16     4.996003610813204e-16
  19     2.220446049250313e-16      1.19002030452009e-15
  20     2.220446049250313e-16     2.404326737703855e-15

square_symq_rule_test():
  Normal end of execution.
Sun Jul 16 18:34:19 2023