01 February 2009 01:30:29 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level0_x.txt". Quadrature rule W file = "cc_d2_level0_w.txt". Quadrature rule R file = "cc_d2_level0_r.txt". Spatial dimension = 2 Number of points = 1 Prob Dim Points Approx Exact Error 1 2 1 1.33333 1.64493 0.311601 2 2 1 4 4.35517 0.355172 3 2 1 2.82843 3.12419 0.295767 4 2 1 2.3094 2.57901 0.269606 5 2 1 0.5 0.444444 0.0555556 6 2 1 1 1.86302 0.863016 7 2 1 0 0.533333 0.533333 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:30:29 PM 01 February 2009 01:30:37 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level1_x.txt". Quadrature rule W file = "cc_d2_level1_w.txt". Quadrature rule R file = "cc_d2_level1_r.txt". Spatial dimension = 2 Number of points = 5 Prob Dim Points Approx Exact Error 1 2 5 1.44444 1.64493 0.20049 2 2 5 4 4.35517 0.355172 3 2 5 3.04594 3.12419 0.0782516 4 2 5 2.53935 2.57901 0.0396603 5 2 5 0.402369 0.444444 0.0420755 6 2 5 2.33333 1.86302 0.470317 7 2 5 0.471405 0.533333 0.0619288 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:30:37 PM 01 February 2009 01:30:40 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level2_x.txt". Quadrature rule W file = "cc_d2_level2_w.txt". Quadrature rule R file = "cc_d2_level2_r.txt". Spatial dimension = 2 Number of points = 13 Prob Dim Points Approx Exact Error 1 2 13 inf 1.64493 inf 2 2 13 inf 4.35517 inf 3 2 13 inf 3.12419 inf 4 2 13 inf 2.57901 inf 5 2 13 0.444642 0.444444 0.000197672 6 2 13 1.48889 1.86302 0.374127 7 2 13 0.626945 0.533333 0.0936121 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:30:40 PM 01 February 2009 01:30:44 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level3_x.txt". Quadrature rule W file = "cc_d2_level3_w.txt". Quadrature rule R file = "cc_d2_level3_r.txt". Spatial dimension = 2 Number of points = 29 Prob Dim Points Approx Exact Error 1 2 29 -inf 1.64493 inf 2 2 29 -inf 4.35517 inf 3 2 29 -inf 3.12419 inf 4 2 29 -inf 2.57901 inf 5 2 29 0.443597 0.444444 0.000847499 6 2 29 1.63106 1.86302 0.231956 7 2 29 0.700274 0.533333 0.166941 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:30:44 PM 01 February 2009 01:30:47 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level4_x.txt". Quadrature rule W file = "cc_d2_level4_w.txt". Quadrature rule R file = "cc_d2_level4_r.txt". Spatial dimension = 2 Number of points = 65 Prob Dim Points Approx Exact Error 1 2 65 -inf 1.64493 inf 2 2 65 -inf 4.35517 inf 3 2 65 -inf 3.12419 inf 4 2 65 -inf 2.57901 inf 5 2 65 0.444323 0.444444 0.000121449 6 2 65 1.80411 1.86302 0.058904 7 2 65 0.602465 0.533333 0.0691312 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:30:47 PM 01 February 2009 01:30:50 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level5_x.txt". Quadrature rule W file = "cc_d2_level5_w.txt". Quadrature rule R file = "cc_d2_level5_r.txt". Spatial dimension = 2 Number of points = 145 Prob Dim Points Approx Exact Error 1 2 145 -inf 1.64493 inf 2 2 145 -inf 4.35517 inf 3 2 145 -inf 3.12419 inf 4 2 145 -inf 2.57901 inf 5 2 145 0.444427 0.444444 1.71517e-05 6 2 145 1.86468 1.86302 0.00166717 7 2 145 0.602757 0.533333 0.0694238 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:30:50 PM 01 February 2009 01:30:54 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level6_x.txt". Quadrature rule W file = "cc_d2_level6_w.txt". Quadrature rule R file = "cc_d2_level6_r.txt". Spatial dimension = 2 Number of points = 321 Prob Dim Points Approx Exact Error 1 2 321 -inf 1.64493 inf 2 2 321 -inf 4.35517 inf 3 2 321 -inf 3.12419 inf 4 2 321 -inf 2.57901 inf 5 2 321 0.444442 0.444444 2.43016e-06 6 2 321 1.83706 1.86302 0.0259538 7 2 321 0.558246 0.533333 0.0249127 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:30:54 PM 01 February 2009 01:31:06 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level7_x.txt". Quadrature rule W file = "cc_d2_level7_w.txt". Quadrature rule R file = "cc_d2_level7_r.txt". Spatial dimension = 2 Number of points = 705 Prob Dim Points Approx Exact Error 1 2 705 -inf 1.64493 inf 2 2 705 -inf 4.35517 inf 3 2 705 -inf 3.12419 inf 4 2 705 -inf 2.57901 inf 5 2 705 0.444444 0.444444 3.41898e-07 6 2 705 1.86192 1.86302 0.00109381 7 2 705 0.558827 0.533333 0.0254941 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:31:06 PM 01 February 2009 01:31:09 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level8_x.txt". Quadrature rule W file = "cc_d2_level8_w.txt". Quadrature rule R file = "cc_d2_level8_r.txt". Spatial dimension = 2 Number of points = 1537 Prob Dim Points Approx Exact Error 1 2 1537 -inf 1.64493 inf 2 2 1537 -inf 4.35517 inf 3 2 1537 -inf 3.12419 inf 4 2 1537 -inf 2.57901 inf 5 2 1537 0.444444 0.444444 4.76113e-08 6 2 1537 1.86201 1.86302 0.00100145 7 2 1537 0.542356 0.533333 0.00902264 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:31:09 PM 01 February 2009 01:31:12 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level9_x.txt". Quadrature rule W file = "cc_d2_level9_w.txt". Quadrature rule R file = "cc_d2_level9_r.txt". Spatial dimension = 2 Number of points = 3329 Prob Dim Points Approx Exact Error 1 2 3329 -inf 1.64493 inf 2 2 3329 -inf 4.35517 inf 3 2 3329 -inf 3.12419 inf 4 2 3329 -inf 2.57901 inf 5 2 3329 0.444444 0.444444 6.56511e-09 6 2 3329 1.85997 1.86302 0.00304965 7 2 3329 0.542462 0.533333 0.00912861 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:31:12 PM 01 February 2009 01:31:16 PM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "cc_d2_level10_x.txt". Quadrature rule W file = "cc_d2_level10_w.txt". Quadrature rule R file = "cc_d2_level10_r.txt". Spatial dimension = 2 Number of points = 7169 Prob Dim Points Approx Exact Error 1 2 7169 -inf 1.64493 inf 2 2 7169 -inf 4.35517 inf 3 2 7169 -inf 3.12419 inf 4 2 7169 -inf 2.57901 inf 5 2 7169 0.444444 0.444444 8.97523e-10 6 2 7169 1.86285 1.86302 0.000163981 7 2 7169 0.53656 0.533333 0.00322712 QUADRATURE_2D_TEST: Normal end of execution. 01 February 2009 01:31:16 PM