05 July 2007 05:07:32 AM NINT_EXACTNESS_TET C++ version Investigate the polynomial exactness of a quadrature rule for the tetrahedron by integrating all monomials of a given degree. The rule will be adjusted to the unit tetrahedron. NINT_EXACTNESS_TET: User input: Quadrature rule X file = "keast9_x.txt". Quadrature rule W file = "keast9_w.txt". Quadrature rule R file = "keast9_r.txt". Maximum total degree to check = 9 Spatial dimension = 3 Number of points = 45 Error Degree Exponents 8.88178e-16 0 0 0 0 8.88178e-16 1 1 0 0 8.88178e-16 1 0 1 0 8.88178e-16 1 0 0 1 4.44089e-16 2 2 0 0 6.66134e-16 2 1 1 0 4.44089e-16 2 0 2 0 6.66134e-16 2 1 0 1 6.66134e-16 2 0 1 1 4.44089e-16 2 0 0 2 2.22045e-16 3 3 0 0 7.77156e-16 3 2 1 0 8.88178e-16 3 1 2 0 2.22045e-16 3 0 3 0 7.77156e-16 3 2 0 1 4.44089e-16 3 1 1 1 7.77156e-16 3 0 2 1 8.88178e-16 3 1 0 2 7.77156e-16 3 0 1 2 2.22045e-16 3 0 0 3 6.66134e-16 4 4 0 0 3.33067e-16 4 3 1 0 2.22045e-16 4 2 2 0 3.33067e-16 4 1 3 0 6.66134e-16 4 0 4 0 3.33067e-16 4 3 0 1 7.77156e-16 4 2 1 1 7.77156e-16 4 1 2 1 3.33067e-16 4 0 3 1 2.22045e-16 4 2 0 2 6.66134e-16 4 1 1 2 2.22045e-16 4 0 2 2 5.55112e-16 4 1 0 3 3.33067e-16 4 0 1 3 6.66134e-16 4 0 0 4 1.55431e-15 5 5 0 0 2.22045e-16 5 4 1 0 3.33067e-16 5 3 2 0 3.33067e-16 5 2 3 0 2.22045e-16 5 1 4 0 1.55431e-15 5 0 5 0 2.22045e-16 5 4 0 1 5.55112e-16 5 3 1 1 1.11022e-15 5 2 2 1 5.55112e-16 5 1 3 1 2.22045e-16 5 0 4 1 2.22045e-16 5 3 0 2 1.11022e-15 5 2 1 2 1.11022e-15 5 1 2 2 3.33067e-16 5 0 3 2 3.33067e-16 5 2 0 3 3.33067e-16 5 1 1 3 3.33067e-16 5 0 2 3 2.22045e-16 5 1 0 4 2.22045e-16 5 0 1 4 1.55431e-15 5 0 0 5 2.22045e-15 6 6 0 0 0 6 5 1 0 0 6 4 2 0 2.22045e-16 6 3 3 0 0 6 2 4 0 0 6 1 5 0 2.22045e-15 6 0 6 0 0 6 5 0 1 0 6 4 1 1 2.22045e-16 6 3 2 1 2.22045e-16 6 2 3 1 0 6 1 4 1 0 6 0 5 1 0 6 4 0 2 2.22045e-16 6 3 1 2 6.66134e-16 6 2 2 2 2.22045e-16 6 1 3 2 0 6 0 4 2 0 6 3 0 3 4.44089e-16 6 2 1 3 4.44089e-16 6 1 2 3 0 6 0 3 3 0 6 2 0 4 0 6 1 1 4 0 6 0 2 4 3.33067e-16 6 1 0 5 2.22045e-16 6 0 1 5 2.44249e-15 6 0 0 6 2.88658e-15 7 7 0 0 2.22045e-16 7 6 1 0 0 7 5 2 0 0 7 4 3 0 0 7 3 4 0 0 7 2 5 0 2.22045e-16 7 1 6 0 2.88658e-15 7 0 7 0 1.11022e-16 7 6 0 1 6.66134e-16 7 5 1 1 2.22045e-16 7 4 2 1 6.66134e-16 7 3 3 1 2.22045e-16 7 2 4 1 6.66134e-16 7 1 5 1 1.11022e-16 7 0 6 1 0 7 5 0 2 2.22045e-16 7 4 1 2 5.55112e-16 7 3 2 2 2.22045e-16 7 2 3 2 5.55112e-16 7 1 4 2 0 7 0 5 2 0 7 4 0 3 5.55112e-16 7 3 1 3 2.22045e-16 7 2 2 3 5.55112e-16 7 1 3 3 2.22045e-16 7 0 4 3 0 7 3 0 4 5.55112e-16 7 2 1 4 5.55112e-16 7 1 2 4 0 7 0 3 4 0 7 2 0 5 4.44089e-16 7 1 1 5 0 7 0 2 5 1.11022e-16 7 1 0 6 1.11022e-16 7 0 1 6 3.10862e-15 7 0 0 7 4.88498e-15 8 8 0 0 0 8 7 1 0 5.55112e-16 8 6 2 0 4.44089e-16 8 5 3 0 2.22045e-16 8 4 4 0 2.22045e-16 8 3 5 0 2.22045e-16 8 2 6 0 2.22045e-16 8 1 7 0 4.88498e-15 8 0 8 0 2.22045e-16 8 7 0 1 0 8 6 1 1 5.55112e-16 8 5 2 1 5.55112e-16 8 4 3 1 7.77156e-16 8 3 4 1 4.44089e-16 8 2 5 1 2.22045e-16 8 1 6 1 0 8 0 7 1 3.33067e-16 8 6 0 2 8.88178e-16 8 5 1 2 6.66134e-16 8 4 2 2 1.22125e-15 8 3 3 2 5.55112e-16 8 2 4 2 5.55112e-16 8 1 5 2 5.55112e-16 8 0 6 2 4.44089e-16 8 5 0 3 3.33067e-16 8 4 1 3 5.55112e-16 8 3 2 3 3.33067e-16 8 2 3 3 3.33067e-16 8 1 4 3 4.44089e-16 8 0 5 3 2.22045e-16 8 4 0 4 4.44089e-16 8 3 1 4 6.66134e-16 8 2 2 4 4.44089e-16 8 1 3 4 2.22045e-16 8 0 4 4 2.22045e-16 8 3 0 5 5.55112e-16 8 2 1 5 5.55112e-16 8 1 2 5 2.22045e-16 8 0 3 5 3.33067e-16 8 2 0 6 2.22045e-16 8 1 1 6 3.33067e-16 8 0 2 6 0 8 1 0 7 0 8 0 1 7 4.88498e-15 8 0 0 8 0.000114194 9 9 0 0 0.000342581 9 8 1 0 0.00102509 9 7 2 0 0.0013646 9 6 3 0 0.000567903 9 5 4 0 0.000567903 9 4 5 0 0.0013646 9 3 6 0 0.00102509 9 2 7 0 0.000342581 9 1 8 0 0.000114194 9 0 9 0 0.000342581 9 8 0 1 0.000345237 9 7 1 1 0.0015409 9 6 2 1 0.002958 9 5 3 1 0.00283951 9 4 4 1 0.002958 9 3 5 1 0.0015409 9 2 6 1 0.000345237 9 1 7 1 0.000342581 9 0 8 1 0.00102509 9 7 0 2 0.0015409 9 6 1 2 0.00205916 9 5 2 2 0.00234046 9 4 3 2 0.00234046 9 3 4 2 0.00205916 9 2 5 2 0.0015409 9 1 6 2 0.00102509 9 0 7 2 0.0013646 9 6 0 3 0.002958 9 5 1 3 0.00234046 9 4 2 3 0.00707387 9 3 3 3 0.00234046 9 2 4 3 0.002958 9 1 5 3 0.0013646 9 0 6 3 0.000567903 9 5 0 4 0.00283951 9 4 1 4 0.00234046 9 3 2 4 0.00234046 9 2 3 4 0.00283951 9 1 4 4 0.000567903 9 0 5 4 0.000567903 9 4 0 5 0.002958 9 3 1 5 0.00205916 9 2 2 5 0.002958 9 1 3 5 0.000567903 9 0 4 5 0.0013646 9 3 0 6 0.0015409 9 2 1 6 0.0015409 9 1 2 6 0.0013646 9 0 3 6 0.00102509 9 2 0 7 0.000345237 9 1 1 7 0.00102509 9 0 2 7 0.000342581 9 1 0 8 0.000342581 9 0 1 8 0.000114194 9 0 0 9 'NINT_EXACTNESS_TET: Normal end of execution. 05 July 2007 05:07:32 AM