17 October 2008 10:49:35 AM NINT_EXACTNESS_MIXED C++ version Compiled on Oct 17 2008 at 10:48:48. Investigate the polynomial exactness of a multidimensional quadrature rule for a region R = R1 x R2 x ... x RM. Individual rules may be for: Legendre: region: [-1,+1] weight: w(x)=1 rules: Gauss-Legendre, Clenshaw-Curtis, Fejer2, Gauss-Patterson Jacobi: region: [-1,+1] weight: w(x)=(1-x)^alpha (1+x)^beta rules: Gauss-Jacobi Laguerre: region: [0,+oo) weight: w(x)=exp(-x) rules: Gauss-Laguerre Generalized Laguerre: region: [0,+oo) weight: w(x)=x^alpha exp(-x) rules: Generalized Gauss-Laguerre Hermite: region: (-oo,+o) weight: w(x)=exp(-x*x) rules: Gauss-Hermite Generalized Hermite: region: (-oo,+oo) weight: w(x)=|x|^alpha exp(-x*x) rules: generalized Gauss-Hermite NINT_EXACTNESS: User input: Quadrature rule A file = "sparse_grid_mixed_d2_l3_ccxgp_a.txt". Quadrature rule B file = "sparse_grid_mixed_d2_l3_ccxgp_b.txt". Quadrature rule R file = "sparse_grid_mixed_d2_l3_ccxgp_r.txt". Quadrature rule W file = "sparse_grid_mixed_d2_l3_ccxgp_w.txt". Quadrature rule X file = "sparse_grid_mixed_d2_l3_ccxgp_x.txt". Maximum total degree to check = 9 Spatial dimension = 2 Number of points = 39 Analysis of integration region: 0 Gauss Legendre. 1 Gauss Legendre. Error Degree Exponents 2.22045e-16 0 0 0 3.33067e-16 1 1 0 6.93889e-18 1 0 1 1.66533e-16 2 2 0 0 2 1 1 3.33067e-16 2 0 2 1.11022e-16 3 3 0 1.38778e-17 3 2 1 1.11022e-16 3 1 2 4.85723e-17 3 0 3 4.16334e-16 4 4 0 0 4 3 1 1.249e-16 4 2 2 0 4 1 3 2.77556e-16 4 0 4 2.77556e-17 5 5 0 1.38778e-17 5 4 1 5.55112e-17 5 3 2 6.93889e-18 5 2 3 5.55112e-17 5 1 4 0 5 0 5 9.71445e-16 6 6 0 0 6 5 1 0 6 4 2 0 6 3 3 4.16334e-16 6 2 4 0 6 1 5 5.82867e-16 6 0 6 2.77556e-17 7 7 0 1.38778e-17 7 6 1 1.38778e-17 7 5 2 6.93889e-18 7 4 3 2.77556e-17 7 3 4 0 7 2 5 2.77556e-17 7 1 6 0 7 0 7 1.4988e-15 8 8 0 0 8 7 1 0.0666667 8 6 2 0 8 5 3 1.73472e-16 8 4 4 0 8 3 5 7.28584e-16 8 2 6 0 8 1 7 7.49401e-16 8 0 8 0 9 9 0 1.38778e-17 9 8 1 1.38778e-17 9 7 2 6.93889e-18 9 6 3 2.08167e-17 9 5 4 0 9 4 5 2.08167e-17 9 3 6 0 9 2 7 2.08167e-17 9 1 8 6.93889e-18 9 0 9 NINT_EXACTNESS_MIXED: Normal end of execution. 17 October 2008 10:49:35 AM