25 December 2009 05:48:51 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 = "cc_d2_level4_x.txt". Quadrature rule W file = "cc_d2_level4_w.txt". Quadrature rule R file = "cc_d2_level4_r.txt". Maximum total degree to check = 17 Spatial dimension = 2 Number of points = 65 Error Degree Exponents 2.22045e-16 0 0 0 4.44089e-16 1 1 0 2.22045e-16 1 0 1 4.44089e-16 2 2 0 2.22045e-16 2 1 1 4.44089e-16 2 0 2 4.44089e-16 3 3 0 4.44089e-16 3 2 1 4.44089e-16 3 1 2 2.22045e-16 3 0 3 4.44089e-16 4 4 0 4.44089e-16 4 3 1 4.44089e-16 4 2 2 4.44089e-16 4 1 3 4.44089e-16 4 0 4 4.44089e-16 5 5 0 2.22045e-16 5 4 1 4.44089e-16 5 3 2 4.44089e-16 5 2 3 6.66134e-16 5 1 4 4.44089e-16 5 0 5 6.66134e-16 6 6 0 4.44089e-16 6 5 1 2.22045e-16 6 4 2 4.44089e-16 6 3 3 2.22045e-16 6 2 4 4.44089e-16 6 1 5 6.66134e-16 6 0 6 6.66134e-16 7 7 0 0 7 6 1 4.44089e-16 7 5 2 8.88178e-16 7 4 3 6.66134e-16 7 3 4 4.44089e-16 7 2 5 6.66134e-16 7 1 6 6.66134e-16 7 0 7 4.44089e-16 8 8 0 4.44089e-16 8 7 1 2.22045e-16 8 6 2 4.44089e-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 2.22045e-16 9 9 0 6.66134e-16 9 8 1 4.44089e-16 9 7 2 4.44089e-16 9 6 3 4.44089e-16 9 5 4 2.22045e-16 9 4 5 6.66134e-16 9 3 6 8.88178e-16 9 2 7 6.66134e-16 9 1 8 0 9 0 9 6.66134e-16 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 6.66134e-16 10 5 5 4.34028e-05 10 4 6 8.88178e-16 10 3 7 6.66134e-16 10 2 8 4.44089e-16 10 1 9 8.88178e-16 10 0 10 1.55431e-15 11 11 0 8.88178e-16 11 10 1 1.11022e-15 11 9 2 4.44089e-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 1.11022e-15 11 2 9 8.88178e-16 11 1 10 1.33227e-15 11 0 11 1.11022e-15 12 12 0 8.88178e-16 12 11 1 9.68812e-08 12 10 2 1.33227e-15 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 9.68812e-08 12 2 10 8.88178e-16 12 1 11 8.88178e-16 12 0 12 8.88178e-16 13 13 0 8.88178e-16 13 12 1 5.81287e-07 13 11 2 1.93762e-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 1.93762e-07 13 3 10 5.81287e-07 13 2 11 6.66134e-16 13 1 12 1.55431e-15 13 0 13 1.11022e-15 14 14 0 1.33227e-15 14 13 1 1.99817e-06 14 12 2 1.16257e-06 14 11 3 0.00112209 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 0.00112209 14 4 10 1.16257e-06 14 3 11 1.99817e-06 14 2 12 1.11022e-15 14 1 13 6.66134e-16 14 0 14 8.88178e-16 15 15 0 1.33227e-15 15 14 1 5.17103e-06 15 13 2 3.99635e-06 15 12 3 0.00154046 15 11 4 0.00336674 15 10 5 0.00493774 15 9 6 0.00588379 15 8 7 0.00588379 15 7 8 0.00493774 15 6 9 0.00336674 15 5 10 0.00154046 15 4 11 3.99635e-06 15 3 12 5.17103e-06 15 2 13 1.11022e-15 15 1 14 1.11022e-15 15 0 15 1.11022e-15 16 16 0 1.55431e-15 16 15 1 1.12057e-05 16 14 2 1.03421e-05 16 13 3 0.00195162 16 12 4 0.00462429 16 11 5 0.00735676 16 10 6 0.00949707 16 9 7 0.0103188 16 8 8 0.00949707 16 7 9 0.00735676 16 6 10 0.00462429 16 5 11 0.00195162 16 4 12 1.03421e-05 16 3 13 1.12057e-05 16 2 14 8.88178e-16 16 1 15 1.11022e-15 16 0 16 1.33227e-15 17 17 0 8.88178e-16 17 16 1 2.14895e-05 17 15 2 2.24113e-05 17 14 3 0.00232299 17 13 4 0.00586485 17 12 5 0.00994905 17 11 6 0.0137151 17 10 7 0.0160103 17 9 8 0.0160103 17 8 9 0.0137151 17 7 10 0.00994905 17 6 11 0.00586485 17 5 12 0.00232299 17 4 13 2.24113e-05 17 3 14 2.14895e-05 17 2 15 1.33227e-15 17 1 16 1.55431e-15 17 0 17 NINT_EXACTNESS: Normal end of execution. 25 December 2009 05:48:51 PM