05 July 2007 05:07:27 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 = "keast8_x.txt". Quadrature rule W file = "keast8_w.txt". Quadrature rule R file = "keast8_r.txt". Maximum total degree to check = 8 Spatial dimension = 3 Number of points = 31 Error Degree Exponents 5.55112e-16 0 0 0 0 6.66134e-16 1 1 0 0 6.66134e-16 1 0 1 0 8.88178e-16 1 0 0 1 2.66454e-15 2 2 0 0 1.11022e-15 2 1 1 0 2.66454e-15 2 0 2 0 1.11022e-15 2 1 0 1 1.33227e-15 2 0 1 1 3.10862e-15 2 0 0 2 3.9968e-15 3 3 0 0 1.11022e-15 3 2 1 0 1.11022e-15 3 1 2 0 4.21885e-15 3 0 3 0 1.11022e-15 3 2 0 1 5.9952e-15 3 1 1 1 1.11022e-15 3 0 2 1 1.11022e-15 3 1 0 2 1.11022e-15 3 0 1 2 3.9968e-15 3 0 0 3 4.21885e-15 4 4 0 0 2.55351e-15 4 3 1 0 3.55271e-15 4 2 2 0 2.55351e-15 4 1 3 0 4.21885e-15 4 0 4 0 2.55351e-15 4 3 0 1 4.88498e-15 4 2 1 1 4.66294e-15 4 1 2 1 2.88658e-15 4 0 3 1 3.55271e-15 4 2 0 2 4.88498e-15 4 1 1 2 3.44169e-15 4 0 2 2 2.77556e-15 4 1 0 3 2.77556e-15 4 0 1 3 4.21885e-15 4 0 0 4 4.996e-15 5 5 0 0 3.77476e-15 5 4 1 0 5.9952e-15 5 3 2 0 5.9952e-15 5 2 3 0 3.9968e-15 5 1 4 0 4.996e-15 5 0 5 0 3.77476e-15 5 4 0 1 3.55271e-15 5 3 1 1 3.77476e-15 5 2 2 1 3.55271e-15 5 1 3 1 3.77476e-15 5 0 4 1 5.9952e-15 5 3 0 2 3.77476e-15 5 2 1 2 3.77476e-15 5 1 2 2 6.21725e-15 5 0 3 2 5.9952e-15 5 2 0 3 3.55271e-15 5 1 1 3 5.9952e-15 5 0 2 3 3.77476e-15 5 1 0 4 3.77476e-15 5 0 1 4 4.996e-15 5 0 0 5 4.77396e-15 6 6 0 0 4.88498e-15 6 5 1 0 7.32747e-15 6 4 2 0 9.65894e-15 6 3 3 0 7.54952e-15 6 2 4 0 4.44089e-15 6 1 5 0 4.77396e-15 6 0 6 0 4.88498e-15 6 5 0 1 3.9968e-15 6 4 1 1 1.77636e-15 6 3 2 1 1.77636e-15 6 2 3 1 3.9968e-15 6 1 4 1 4.55191e-15 6 0 5 1 7.32747e-15 6 4 0 2 1.9984e-15 6 3 1 2 5.55112e-15 6 2 2 2 1.77636e-15 6 1 3 2 7.32747e-15 6 0 4 2 9.65894e-15 6 3 0 3 1.9984e-15 6 2 1 3 1.77636e-15 6 1 2 3 9.65894e-15 6 0 3 3 7.32747e-15 6 2 0 4 3.9968e-15 6 1 1 4 7.54952e-15 6 0 2 4 4.55191e-15 6 1 0 5 4.55191e-15 6 0 1 5 4.77396e-15 6 0 0 6 4.32987e-15 7 7 0 0 5.9952e-15 7 6 1 0 8.77076e-15 7 5 2 0 1.11022e-14 7 4 3 0 1.13243e-14 7 3 4 0 8.99281e-15 7 2 5 0 5.55112e-15 7 1 6 0 4.55191e-15 7 0 7 0 5.9952e-15 7 6 0 1 3.10862e-15 7 5 1 1 1.11022e-15 7 4 2 1 2.77556e-15 7 3 3 1 8.88178e-16 7 2 4 1 2.88658e-15 7 1 5 1 5.55112e-15 7 0 6 1 8.99281e-15 7 5 0 2 1.11022e-15 7 4 1 2 4.88498e-15 7 3 2 2 4.88498e-15 7 2 3 2 6.66134e-16 7 1 4 2 8.99281e-15 7 0 5 2 1.11022e-14 7 4 0 3 2.44249e-15 7 3 1 3 5.10703e-15 7 2 2 3 2.55351e-15 7 1 3 3 1.13243e-14 7 0 4 3 1.13243e-14 7 3 0 4 8.88178e-16 7 2 1 4 1.11022e-15 7 1 2 4 1.13243e-14 7 0 3 4 8.99281e-15 7 2 0 5 3.33067e-15 7 1 1 5 8.99281e-15 7 0 2 5 5.55112e-15 7 1 0 6 5.21805e-15 7 0 1 6 4.32987e-15 7 0 0 7 0.00112551 8 8 0 0 0.00300137 8 7 1 0 0.00849797 8 6 2 0 0.0139841 8 5 3 0 0.0154854 8 4 4 0 0.0139841 8 3 5 0 0.00849797 8 2 6 0 0.00300137 8 1 7 0 0.00112551 8 0 8 0 0.00300137 8 7 0 1 0.00200683 8 6 1 1 0.00451773 8 5 2 1 0.00398956 8 4 3 1 0.00398956 8 3 4 1 0.00451773 8 2 5 1 0.00200683 8 1 6 1 0.00300137 8 0 7 1 0.00849797 8 6 0 2 0.00451773 8 5 1 2 0.00782246 8 4 2 2 0.00803362 8 3 3 2 0.00782246 8 2 4 2 0.00451773 8 1 5 2 0.00849797 8 0 6 2 0.0139841 8 5 0 3 0.00398956 8 4 1 3 0.00803362 8 3 2 3 0.00803362 8 2 3 3 0.00398956 8 1 4 3 0.0139841 8 0 5 3 0.0154854 8 4 0 4 0.00398956 8 3 1 4 0.00782246 8 2 2 4 0.00398956 8 1 3 4 0.0154854 8 0 4 4 0.0139841 8 3 0 5 0.00451773 8 2 1 5 0.00451773 8 1 2 5 0.0139841 8 0 3 5 0.00849797 8 2 0 6 0.00200683 8 1 1 6 0.00849797 8 0 2 6 0.00300137 8 1 0 7 0.00300137 8 0 1 7 0.00112551 8 0 0 8 'NINT_EXACTNESS_TET: Normal end of execution. 05 July 2007 05:07:27 AM