25 December 2009 05:48:57 PM NINT_EXACTNESS C++ version Compiled on Dec 25 2009 at 17:47:46. Investigate the polynomial exactness of a quadrature rule by integrating all monomials of a given degree over the [0,1] hypercube. The rule will be adjusted to the [0,1] hypercube. NINT_EXACTNESS: User input: Quadrature rule X file = "ccs_d2_level4_x.txt". Quadrature rule W file = "ccs_d2_level4_w.txt". Quadrature rule R file = "ccs_d2_level4_r.txt". Maximum total degree to check = 17 Spatial dimension = 2 Number of points = 49 Error Degree Exponents 0 0 0 0 2.22045e-16 1 1 0 2.22045e-16 1 0 1 4.44089e-16 2 2 0 4.44089e-16 2 1 1 4.44089e-16 2 0 2 4.44089e-16 3 3 0 2.22045e-16 3 2 1 2.22045e-16 3 1 2 4.44089e-16 3 0 3 4.44089e-16 4 4 0 2.22045e-16 4 3 1 2.22045e-16 4 2 2 2.22045e-16 4 1 3 4.44089e-16 4 0 4 6.66134e-16 5 5 0 2.22045e-16 5 4 1 4.44089e-16 5 3 2 4.44089e-16 5 2 3 2.22045e-16 5 1 4 4.44089e-16 5 0 5 8.88178e-16 6 6 0 4.44089e-16 6 5 1 2.22045e-16 6 4 2 4.44089e-16 6 3 3 6.66134e-16 6 2 4 4.44089e-16 6 1 5 6.66134e-16 6 0 6 4.44089e-16 7 7 0 4.44089e-16 7 6 1 6.66134e-16 7 5 2 4.44089e-16 7 4 3 4.44089e-16 7 3 4 4.44089e-16 7 2 5 8.88178e-16 7 1 6 8.88178e-16 7 0 7 4.44089e-16 8 8 0 4.44089e-16 8 7 1 6.66134e-16 8 6 2 8.88178e-16 8 5 3 6.66134e-16 8 4 4 4.44089e-16 8 3 5 6.66134e-16 8 2 6 2.22045e-16 8 1 7 4.44089e-16 8 0 8 4.44089e-16 9 9 0 6.66134e-16 9 8 1 6.66134e-16 9 7 2 8.88178e-16 9 6 3 4.44089e-16 9 5 4 2.22045e-16 9 4 5 8.88178e-16 9 3 6 4.44089e-16 9 2 7 8.88178e-16 9 1 8 2.22045e-16 9 0 9 3.87525e-07 10 10 0 4.44089e-16 10 9 1 6.66134e-16 10 8 2 6.66134e-16 10 7 3 4.34028e-05 10 6 4 2.22045e-16 10 5 5 4.34028e-05 10 4 6 6.66134e-16 10 3 7 8.88178e-16 10 2 8 6.66134e-16 10 1 9 3.87525e-07 10 0 10 2.32515e-06 11 11 0 3.87525e-07 11 10 1 8.88178e-16 11 9 2 6.66134e-16 11 8 3 0.000173611 11 7 4 0.000130208 11 6 5 0.000130208 11 5 6 0.000173611 11 4 7 6.66134e-16 11 3 8 4.44089e-16 11 2 9 3.87525e-07 11 1 10 2.32515e-06 11 0 11 7.9927e-06 12 12 0 2.32515e-06 12 11 1 3.87525e-07 12 10 2 8.88178e-16 12 9 3 0.000406901 12 8 4 0.000520833 12 7 5 0.000500217 12 6 6 0.000520833 12 5 7 0.000406901 12 4 8 8.88178e-16 12 3 9 3.87525e-07 12 2 10 2.32515e-06 12 1 11 7.9927e-06 12 0 12 2.06841e-05 13 13 0 7.9927e-06 13 12 1 2.32515e-06 13 11 2 3.87525e-07 13 10 3 0.000732422 13 9 4 0.0012207 13 8 5 0.00139323 13 7 6 0.00139323 13 6 7 0.0012207 13 5 8 0.000732422 13 4 9 3.87525e-07 13 3 10 2.32515e-06 13 2 11 7.9927e-06 13 1 12 2.06841e-05 13 0 13 4.48227e-05 14 14 0 2.06841e-05 14 13 1 7.9927e-06 14 12 2 2.32515e-06 14 11 3 0.00112197 14 10 4 0.00219727 14 9 5 0.0028951 14 8 6 0.00314236 14 7 7 0.0028951 14 6 8 0.00219727 14 5 9 0.00112197 14 4 10 2.32515e-06 14 3 11 7.9927e-06 14 2 12 2.06841e-05 14 1 13 4.48227e-05 14 0 14 8.59578e-05 15 15 0 4.48227e-05 15 14 1 2.06841e-05 15 13 2 7.9927e-06 15 12 3 0.00153973 15 11 4 0.00336667 15 10 5 0.00493774 15 9 6 0.00588379 15 8 7 0.00588379 15 7 8 0.00493774 15 6 9 0.00336667 15 5 10 0.00153973 15 4 11 7.9927e-06 15 3 12 2.06841e-05 15 2 13 4.48227e-05 15 1 14 8.59578e-05 15 0 15 0.000150768 16 16 0 8.59578e-05 16 15 1 4.48227e-05 16 14 2 2.06841e-05 16 13 3 0.00194912 16 12 4 0.00462385 16 11 5 0.00735671 16 10 6 0.00949707 16 9 7 0.0103188 16 8 8 0.00949707 16 7 9 0.00735671 16 6 10 0.00462385 16 5 11 0.00194912 16 4 12 2.06841e-05 16 3 13 4.48227e-05 16 2 14 8.59578e-05 16 1 15 0.000150768 16 0 16 0.000247053 17 17 0 0.000150768 17 16 1 8.59578e-05 17 15 2 4.48227e-05 17 14 3 0.00231652 17 13 4 0.00586335 17 12 5 0.0099488 17 11 6 0.0137151 17 10 7 0.0160103 17 9 8 0.0160103 17 8 9 0.0137151 17 7 10 0.0099488 17 6 11 0.00586335 17 5 12 0.00231652 17 4 13 4.48227e-05 17 3 14 8.59578e-05 17 2 15 0.000150768 17 1 16 0.000247053 17 0 17 NINT_EXACTNESS: Normal end of execution. 25 December 2009 05:48:57 PM