05 July 2007 05:08:17 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 = "nco6_x.txt". Quadrature rule W file = "nco6_w.txt". Quadrature rule R file = "nco6_r.txt". Maximum total degree to check = 8 Spatial dimension = 3 Number of points = 84 Error Degree Exponents 6.21725e-15 0 0 0 0 2.22045e-15 1 1 0 0 1.33227e-15 1 0 1 0 1.33227e-15 1 0 0 1 3.10862e-15 2 2 0 0 6.88338e-15 2 1 1 0 3.10862e-15 2 0 2 0 5.9952e-15 2 1 0 1 4.77396e-15 2 0 1 1 3.77476e-15 2 0 0 2 5.66214e-15 3 3 0 0 8.43769e-15 3 2 1 0 6.66134e-15 3 1 2 0 3.9968e-15 3 0 3 0 6.66134e-15 3 2 0 1 1.23235e-14 3 1 1 1 6.43929e-15 3 0 2 1 7.99361e-15 3 1 0 2 5.44009e-15 3 0 1 2 3.33067e-15 3 0 0 3 2.77556e-15 4 4 0 0 6.77236e-15 4 3 1 0 1.11022e-14 4 2 2 0 5.66214e-15 4 1 3 0 2.33147e-15 4 0 4 0 6.77236e-15 4 3 0 1 4.10783e-15 4 2 1 1 4.88498e-15 4 1 2 1 5.66214e-15 4 0 3 1 8.88178e-15 4 2 0 2 5.10703e-15 4 1 1 2 8.88178e-15 4 0 2 2 5.32907e-15 4 1 0 3 5.66214e-15 4 0 1 3 3.9968e-15 4 0 0 4 5.10703e-15 5 5 0 0 5.32907e-15 5 4 1 0 5.44009e-15 5 3 2 0 7.43849e-15 5 2 3 0 4.77396e-15 5 1 4 0 4.10783e-15 5 0 5 0 3.66374e-15 5 4 0 1 3.10862e-15 5 3 1 1 4.10783e-15 5 2 2 1 3.10862e-15 5 1 3 1 4.88498e-15 5 0 4 1 8.21565e-15 5 3 0 2 3.44169e-15 5 2 1 2 1.22125e-15 5 1 2 2 6.32827e-15 5 0 3 2 6.77236e-15 5 2 0 3 3.33067e-15 5 1 1 3 6.32827e-15 5 0 2 3 5.66214e-15 5 1 0 4 4.88498e-15 5 0 1 4 4.10783e-15 5 0 0 5 2.88658e-15 6 6 0 0 6.21725e-15 6 5 1 0 6.10623e-15 6 4 2 0 4.66294e-15 6 3 3 0 7.54952e-15 6 2 4 0 4.44089e-15 6 1 5 0 1.9984e-15 6 0 6 0 5.88418e-15 6 5 0 1 7.77156e-15 6 4 1 1 5.55112e-15 6 3 2 1 3.88578e-15 6 2 3 1 8.65974e-15 6 1 4 1 6.88338e-15 6 0 5 1 5.9952e-15 6 4 0 2 7.77156e-15 6 3 1 2 3.55271e-15 6 2 2 2 7.77156e-15 6 1 3 2 7.32747e-15 6 0 4 2 4.77396e-15 6 3 0 3 7.32747e-15 6 2 1 3 6.10623e-15 6 1 2 3 3.77476e-15 6 0 3 3 7.21645e-15 6 2 0 4 8.77076e-15 6 1 1 4 6.55032e-15 6 0 2 4 4.88498e-15 6 1 0 5 5.10703e-15 6 0 1 5 1.77636e-15 6 0 0 6 0.00288 7 7 0 0 0.00672 7 6 1 0 0.00776 7 5 2 0 0.00392 7 4 3 0 0.00392 7 3 4 0 0.00776 7 2 5 0 0.00672 7 1 6 0 0.00288 7 0 7 0 0.00672 7 6 0 1 0.0124 7 5 1 1 0.01352 7 4 2 1 0.01568 7 3 3 1 0.01352 7 2 4 1 0.0124 7 1 5 1 0.00672 7 0 6 1 0.00776 7 5 0 2 0.01352 7 4 1 2 0.00088 7 3 2 2 0.00088 7 2 3 2 0.01352 7 1 4 2 0.00776 7 0 5 2 0.00392 7 4 0 3 0.01568 7 3 1 3 0.00088 7 2 2 3 0.01568 7 1 3 3 0.00392 7 0 4 3 0.00392 7 3 0 4 0.01352 7 2 1 4 0.01352 7 1 2 4 0.00392 7 0 3 4 0.00776 7 2 0 5 0.0124 7 1 1 5 0.00776 7 0 2 5 0.00672 7 1 0 6 0.00672 7 0 1 6 0.00288 7 0 0 7 0.008546 8 8 0 0 0.0122293 8 7 1 0 0.0107407 8 6 2 0 0.0464373 8 5 3 0 0.0704047 8 4 4 0 0.0464373 8 3 5 0 0.0107407 8 2 6 0 0.0122293 8 1 7 0 0.008546 8 0 8 0 0.0122293 8 7 0 1 0.0165833 8 6 1 1 0.005246 8 5 2 1 0.003156 8 4 3 1 0.003156 8 3 4 1 0.005246 8 2 5 1 0.0165833 8 1 6 1 0.0122293 8 0 7 1 0.0107407 8 6 0 2 0.005246 8 5 1 2 0.0783173 8 4 2 2 0.0521427 8 3 3 2 0.0783173 8 2 4 2 0.005246 8 1 5 2 0.0107407 8 0 6 2 0.0464373 8 5 0 3 0.003156 8 4 1 3 0.0521427 8 3 2 3 0.0521427 8 2 3 3 0.003156 8 1 4 3 0.0464373 8 0 5 3 0.0704047 8 4 0 4 0.003156 8 3 1 4 0.0783173 8 2 2 4 0.003156 8 1 3 4 0.0704047 8 0 4 4 0.0464373 8 3 0 5 0.005246 8 2 1 5 0.005246 8 1 2 5 0.0464373 8 0 3 5 0.0107407 8 2 0 6 0.0165833 8 1 1 6 0.0107407 8 0 2 6 0.0122293 8 1 0 7 0.0122293 8 0 1 7 0.008546 8 0 0 8 'NINT_EXACTNESS_TET: Normal end of execution. 05 July 2007 05:08:17 AM