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22-Apr-2023 19:37:06

hexagon_lyness_test():
  MATLAB/Octave version 9.14.0.2206163 (R2023a)
  Test hexagon_lyness().

hexagon_quadrature_test():
  Test Lyness rule #01

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266

hexagon_quadrature_test():
  Test Lyness rule #02

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266

hexagon_quadrature_test():
  Test Lyness rule #03

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332

hexagon_quadrature_test():
  Test Lyness rule #04

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332

hexagon_quadrature_test():
  Test Lyness rule #05

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332
  6: Integral x^0 y^6 dxdy = 0.117435, exact = 0.117435
  6: Integral x^2 y^4 dxdy = 0.0269666, exact = 0.0269666
  6: Integral x^4 y^2 dxdy = 0.0211674, exact = 0.0211674
  6: Integral x^6 y^0 dxdy = 0.123235, exact = 0.123235

hexagon_quadrature_test():
  Test Lyness rule #06

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332
  6: Integral x^0 y^6 dxdy = 0.117435, exact = 0.117435
  6: Integral x^2 y^4 dxdy = 0.0269666, exact = 0.0269666
  6: Integral x^4 y^2 dxdy = 0.0211674, exact = 0.0211674
  6: Integral x^6 y^0 dxdy = 0.123235, exact = 0.123235

hexagon_quadrature_test():
  Test Lyness rule #07

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332
  6: Integral x^0 y^6 dxdy = 0.117435, exact = 0.117435
  6: Integral x^2 y^4 dxdy = 0.0269666, exact = 0.0269666
  6: Integral x^4 y^2 dxdy = 0.0211674, exact = 0.0211674
  6: Integral x^6 y^0 dxdy = 0.123235, exact = 0.123235
  8: Integral x^0 y^8 dxdy = 0.0669817, exact = 0.0669817
  8: Integral x^2 y^6 dxdy = 0.0127584, exact = 0.0127584
  8: Integral x^4 y^4 dxdy = 0.00616656, exact = 0.00616656
  8: Integral x^6 y^2 dxdy = 0.00779681, exact = 0.00779681
  8: Integral x^8 y^0 dxdy = 0.0769049, exact = 0.0769049

hexagon_quadrature_test():
  Test Lyness rule #08

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332
  6: Integral x^0 y^6 dxdy = 0.117435, exact = 0.117435
  6: Integral x^2 y^4 dxdy = 0.0269666, exact = 0.0269666
  6: Integral x^4 y^2 dxdy = 0.0211674, exact = 0.0211674
  6: Integral x^6 y^0 dxdy = 0.123235, exact = 0.123235
  8: Integral x^0 y^8 dxdy = 0.0669817, exact = 0.0669817
  8: Integral x^2 y^6 dxdy = 0.0127584, exact = 0.0127584
  8: Integral x^4 y^4 dxdy = 0.00616656, exact = 0.00616656
  8: Integral x^6 y^2 dxdy = 0.00779681, exact = 0.00779681
  8: Integral x^8 y^0 dxdy = 0.0769049, exact = 0.0769049

hexagon_quadrature_test():
  Test Lyness rule #09

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332
  6: Integral x^0 y^6 dxdy = 0.117435, exact = 0.117435
  6: Integral x^2 y^4 dxdy = 0.0269666, exact = 0.0269666
  6: Integral x^4 y^2 dxdy = 0.0211674, exact = 0.0211674
  6: Integral x^6 y^0 dxdy = 0.123235, exact = 0.123235
  8: Integral x^0 y^8 dxdy = 0.0669817, exact = 0.0669817
  8: Integral x^2 y^6 dxdy = 0.0127584, exact = 0.0127584
  8: Integral x^4 y^4 dxdy = 0.00616656, exact = 0.00616656
  8: Integral x^6 y^2 dxdy = 0.00779681, exact = 0.00779681
  8: Integral x^8 y^0 dxdy = 0.0769049, exact = 0.0769049
  10: Integral x^0 y^10 dxdy = 0.0404796, exact = 0.0404796
  10: Integral x^2 y^8 dxdy = 0.00689653, exact = 0.00689653
  10: Integral x^4 y^6 dxdy = 0.00261297, exact = 0.00261297
  10: Integral x^6 y^4 dxdy = 0.00181337, exact = 0.00181337
  10: Integral x^8 y^2 dxdy = 0.00343161, exact = 0.00343161
  10: Integral x^10 y^0 dxdy = 0.0524736, exact = 0.0524736

hexagon_quadrature_test():
  Test Lyness rule #10

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332
  6: Integral x^0 y^6 dxdy = 0.117435, exact = 0.117435
  6: Integral x^2 y^4 dxdy = 0.0269666, exact = 0.0269666
  6: Integral x^4 y^2 dxdy = 0.0211674, exact = 0.0211674
  6: Integral x^6 y^0 dxdy = 0.123235, exact = 0.123235
  8: Integral x^0 y^8 dxdy = 0.0669817, exact = 0.0669817
  8: Integral x^2 y^6 dxdy = 0.0127584, exact = 0.0127584
  8: Integral x^4 y^4 dxdy = 0.00616656, exact = 0.00616656
  8: Integral x^6 y^2 dxdy = 0.00779681, exact = 0.00779681
  8: Integral x^8 y^0 dxdy = 0.0769049, exact = 0.0769049
  10: Integral x^0 y^10 dxdy = 0.0404796, exact = 0.0404796
  10: Integral x^2 y^8 dxdy = 0.00689653, exact = 0.00689653
  10: Integral x^4 y^6 dxdy = 0.00261297, exact = 0.00261297
  10: Integral x^6 y^4 dxdy = 0.00181337, exact = 0.00181337
  10: Integral x^8 y^2 dxdy = 0.00343161, exact = 0.00343161
  10: Integral x^10 y^0 dxdy = 0.0524736, exact = 0.0524736

hexagon_quadrature_test():
  Test Lyness rule #11

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332
  6: Integral x^0 y^6 dxdy = 0.117435, exact = 0.117435
  6: Integral x^2 y^4 dxdy = 0.0269666, exact = 0.0269666
  6: Integral x^4 y^2 dxdy = 0.0211674, exact = 0.0211674
  6: Integral x^6 y^0 dxdy = 0.123235, exact = 0.123235
  8: Integral x^0 y^8 dxdy = 0.0669817, exact = 0.0669817
  8: Integral x^2 y^6 dxdy = 0.0127584, exact = 0.0127584
  8: Integral x^4 y^4 dxdy = 0.00616656, exact = 0.00616656
  8: Integral x^6 y^2 dxdy = 0.00779681, exact = 0.00779681
  8: Integral x^8 y^0 dxdy = 0.0769049, exact = 0.0769049
  10: Integral x^0 y^10 dxdy = 0.0404796, exact = 0.0404796
  10: Integral x^2 y^8 dxdy = 0.00689653, exact = 0.00689653
  10: Integral x^4 y^6 dxdy = 0.00261297, exact = 0.00261297
  10: Integral x^6 y^4 dxdy = 0.00181337, exact = 0.00181337
  10: Integral x^8 y^2 dxdy = 0.00343161, exact = 0.00343161
  10: Integral x^10 y^0 dxdy = 0.0524736, exact = 0.0524736
  12: Integral x^0 y^12 dxdy = 0.0254067, exact = 0.0254067
  12: Integral x^2 y^10 dxdy = 0.00402059, exact = 0.00402059
  12: Integral x^4 y^8 dxdy = 0.00132043, exact = 0.00132043
  12: Integral x^6 y^6 dxdy = 0.000672678, exact = 0.000672678
  12: Integral x^8 y^4 dxdy = 0.000629987, exact = 0.000629987
  12: Integral x^10 y^2 dxdy = 0.00171913, exact = 0.00171913
  12: Integral x^12 y^0 dxdy = 0.0380647, exact = 0.0380647

hexagon_quadrature_test():
  Test Lyness rule #12

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332
  6: Integral x^0 y^6 dxdy = 0.117435, exact = 0.117435
  6: Integral x^2 y^4 dxdy = 0.0269666, exact = 0.0269666
  6: Integral x^4 y^2 dxdy = 0.0211674, exact = 0.0211674
  6: Integral x^6 y^0 dxdy = 0.123235, exact = 0.123235
  8: Integral x^0 y^8 dxdy = 0.0669817, exact = 0.0669817
  8: Integral x^2 y^6 dxdy = 0.0127584, exact = 0.0127584
  8: Integral x^4 y^4 dxdy = 0.00616656, exact = 0.00616656
  8: Integral x^6 y^2 dxdy = 0.00779681, exact = 0.00779681
  8: Integral x^8 y^0 dxdy = 0.0769049, exact = 0.0769049
  10: Integral x^0 y^10 dxdy = 0.0404796, exact = 0.0404796
  10: Integral x^2 y^8 dxdy = 0.00689653, exact = 0.00689653
  10: Integral x^4 y^6 dxdy = 0.00261297, exact = 0.00261297
  10: Integral x^6 y^4 dxdy = 0.00181337, exact = 0.00181337
  10: Integral x^8 y^2 dxdy = 0.00343161, exact = 0.00343161
  10: Integral x^10 y^0 dxdy = 0.0524736, exact = 0.0524736
  12: Integral x^0 y^12 dxdy = 0.0254067, exact = 0.0254067
  12: Integral x^2 y^10 dxdy = 0.00402059, exact = 0.00402059
  12: Integral x^4 y^8 dxdy = 0.00132043, exact = 0.00132043
  12: Integral x^6 y^6 dxdy = 0.000672678, exact = 0.000672678
  12: Integral x^8 y^4 dxdy = 0.000629987, exact = 0.000629987
  12: Integral x^10 y^2 dxdy = 0.00171913, exact = 0.00171913
  12: Integral x^12 y^0 dxdy = 0.0380647, exact = 0.0380647

hexagon_quadrature_test():
  Test Lyness rule #13

  0: Integral x^0 y^0 dxdy = 2.59808, exact = 2.59808
  2: Integral x^0 y^2 dxdy = 0.541266, exact = 0.541266
  2: Integral x^2 y^0 dxdy = 0.541266, exact = 0.541266
  4: Integral x^0 y^4 dxdy = 0.227332, exact = 0.227332
  4: Integral x^2 y^2 dxdy = 0.0757772, exact = 0.0757772
  4: Integral x^4 y^0 dxdy = 0.227332, exact = 0.227332
  6: Integral x^0 y^6 dxdy = 0.117435, exact = 0.117435
  6: Integral x^2 y^4 dxdy = 0.0269666, exact = 0.0269666
  6: Integral x^4 y^2 dxdy = 0.0211674, exact = 0.0211674
  6: Integral x^6 y^0 dxdy = 0.123235, exact = 0.123235
  8: Integral x^0 y^8 dxdy = 0.0669817, exact = 0.0669817
  8: Integral x^2 y^6 dxdy = 0.0127584, exact = 0.0127584
  8: Integral x^4 y^4 dxdy = 0.00616656, exact = 0.00616656
  8: Integral x^6 y^2 dxdy = 0.00779681, exact = 0.00779681
  8: Integral x^8 y^0 dxdy = 0.0769049, exact = 0.0769049
  10: Integral x^0 y^10 dxdy = 0.0404796, exact = 0.0404796
  10: Integral x^2 y^8 dxdy = 0.00689653, exact = 0.00689653
  10: Integral x^4 y^6 dxdy = 0.00261297, exact = 0.00261297
  10: Integral x^6 y^4 dxdy = 0.00181337, exact = 0.00181337
  10: Integral x^8 y^2 dxdy = 0.00343161, exact = 0.00343161
  10: Integral x^10 y^0 dxdy = 0.0524736, exact = 0.0524736
  12: Integral x^0 y^12 dxdy = 0.0254067, exact = 0.0254067
  12: Integral x^2 y^10 dxdy = 0.00402059, exact = 0.00402059
  12: Integral x^4 y^8 dxdy = 0.00132043, exact = 0.00132043
  12: Integral x^6 y^6 dxdy = 0.000672678, exact = 0.000672678
  12: Integral x^8 y^4 dxdy = 0.000629987, exact = 0.000629987
  12: Integral x^10 y^2 dxdy = 0.00171913, exact = 0.00171913
  12: Integral x^12 y^0 dxdy = 0.0380647, exact = 0.0380647
  14: Integral x^0 y^14 dxdy = 0.0163767, exact = 0.0163767
  14: Integral x^2 y^12 dxdy = 0.00245951, exact = 0.00245951
  14: Integral x^4 y^10 dxdy = 0.000736217, exact = 0.000736217
  14: Integral x^6 y^8 dxdy = 0.000312867, exact = 0.000312867
  14: Integral x^8 y^6 dxdy = 0.000200566, exact = 0.000200566
  14: Integral x^10 y^4 dxdy = 0.00024958, exact = 0.00024958
  14: Integral x^12 y^2 dxdy = 0.000949687, exact = 0.000949687
  14: Integral x^14 y^0 dxdy = 0.0288671, exact = 0.0288671

hexagon_lyness_test():
  Normal end of execution.

22-Apr-2023 19:37:06