17 October 2008 10:49:27 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_l2_f2xgj_a.txt". Quadrature rule B file = "sparse_grid_mixed_d2_l2_f2xgj_b.txt". Quadrature rule R file = "sparse_grid_mixed_d2_l2_f2xgj_r.txt". Quadrature rule W file = "sparse_grid_mixed_d2_l2_f2xgj_w.txt". Quadrature rule X file = "sparse_grid_mixed_d2_l2_f2xgj_x.txt". Maximum total degree to check = 7 Spatial dimension = 2 Number of points = 23 Analysis of integration region: 0 Gauss Legendre. 1 Gauss Jacobi, ALPHA = 0.5, BETA = 1.5 Error Degree Exponents 4.24074e-16 0 0 0 5.55112e-17 1 1 0 7.0679e-16 1 0 1 6.36111e-16 2 2 0 2.77556e-17 2 1 1 5.65432e-16 2 0 2 2.77556e-17 3 3 0 6.36111e-16 3 2 1 0 3 1 2 1.41358e-15 3 0 3 8.83487e-16 4 4 0 1.38778e-17 4 3 1 4.24074e-16 4 2 2 0 4 1 3 1.55494e-15 4 0 4 1.38778e-17 5 5 0 7.0679e-16 5 4 1 0 5 3 2 4.24074e-16 5 2 3 0 5 1 4 7.91605e-16 5 0 5 8.65818e-16 6 6 0 6.93889e-18 6 5 1 0.125 6 4 2 0 6 3 3 6.36111e-16 6 2 4 0 6 1 5 7.91605e-16 6 0 6 6.93889e-18 7 7 0 7.42129e-16 7 6 1 0 7 5 2 0.145833 7 4 3 0 7 3 4 3.39259e-16 7 2 5 0 7 1 6 9.69312e-16 7 0 7 NINT_EXACTNESS_MIXED: Normal end of execution. 17 October 2008 10:49:27 AM