20 January 2020 09:15:58 AM HYPERCUBE_EXACTNESS C version 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. HYPERCUBE_EXACTNESS: User input: Quadrature rule X file = "cc_d1_o2_x.txt" Quadrature rule W file = "cc_d1_o2_w.txt" Quadrature rule R file = "cc_d1_o2_r.txt" Maximum total degree to check = 5 Spatial dimension = 1 Number of points = 2 Error Degree Exponents 0 0 0 0 1 1 0.5 2 2 1 3 3 1.5 4 4 2 5 5 HYPERCUBE_EXACTNESS: Normal end of execution. 20 January 2020 09:15:58 AM 20 January 2020 09:15:58 AM HYPERCUBE_EXACTNESS C version 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. HYPERCUBE_EXACTNESS: User input: Quadrature rule X file = "cc_d1_o3_x.txt" Quadrature rule W file = "cc_d1_o3_w.txt" Quadrature rule R file = "cc_d1_o3_r.txt" Maximum total degree to check = 5 Spatial dimension = 1 Number of points = 3 Error Degree Exponents 5.00001e-11 0 0 5e-11 1 1 6.25e-11 2 2 7.5e-11 3 3 0.0416667 4 4 0.125 5 5 HYPERCUBE_EXACTNESS: Normal end of execution. 20 January 2020 09:15:58 AM 20 January 2020 09:15:58 AM HYPERCUBE_EXACTNESS C version 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. HYPERCUBE_EXACTNESS: User input: Quadrature rule X file = "cc_d2_o3x3_x.txt" Quadrature rule W file = "cc_d2_o3x3_w.txt" Quadrature rule R file = "cc_d2_o3x3_r.txt" Maximum total degree to check = 5 Spatial dimension = 2 Number of points = 9 Error Degree Exponents 4.44089e-16 0 0 0 2.22045e-16 1 1 0 3.33067e-16 1 0 1 2.22045e-16 2 2 0 2.22045e-16 2 1 1 2.22045e-16 2 0 2 2.22045e-16 3 3 0 2.22045e-16 3 2 1 2.22045e-16 3 1 2 2.22045e-16 3 0 3 0.0416667 4 4 0 3.33067e-16 4 3 1 1.11022e-16 4 2 2 3.33067e-16 4 1 3 0.0416667 4 0 4 0.125 5 5 0 0.0416667 5 4 1 2.22045e-16 5 3 2 2.22045e-16 5 2 3 0.0416667 5 1 4 0.125 5 0 5 HYPERCUBE_EXACTNESS: Normal end of execution. 20 January 2020 09:15:58 AM 20 January 2020 09:15:58 AM HYPERCUBE_EXACTNESS C version 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. HYPERCUBE_EXACTNESS: User input: Quadrature rule X file = "ccgl_d2_o3x2_x.txt" Quadrature rule W file = "ccgl_d2_o3x2_w.txt" Quadrature rule R file = "ccgl_d2_o3x2_r.txt" Maximum total degree to check = 5 Spatial dimension = 2 Number of points = 6 Error Degree Exponents 1.11022e-16 0 0 0 2.22045e-16 1 1 0 2.22045e-16 1 0 1 2.22045e-16 2 2 0 2.22045e-16 2 1 1 2.22045e-16 2 0 2 2.22045e-16 3 3 0 2.22045e-16 3 2 1 0 3 1 2 2.22045e-16 3 0 3 0.0416667 4 4 0 1.11022e-16 4 3 1 0 4 2 2 2.22045e-16 4 1 3 0.0277778 4 0 4 0.125 5 5 0 0.0416667 5 4 1 0 5 3 2 2.22045e-16 5 2 3 0.0277778 5 1 4 0.0833333 5 0 5 HYPERCUBE_EXACTNESS: Normal end of execution. 20 January 2020 09:15:58 AM