16 October 2008 9:48:48.080 PM NINT_EXACTNESS_MIXED FORTRAN90 version 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_ccxglg_a.txt". Quadrature rule B file = "sparse_grid_mixed_d2_l2_ccxglg_b.txt". Quadrature rule R file = "sparse_grid_mixed_d2_l2_ccxglg_r.txt". Quadrature rule W file = "sparse_grid_mixed_d2_l2_ccxglg_w.txt". Quadrature rule X file = "sparse_grid_mixed_d2_l2_ccxglg_x.txt". Maximum total degree to check = 7 Spatial dimension = 2 Number of points = 21 Analysis of integration region: 1 Gauss Legendre 2 Generalized Gauss Laguerre, ALPHA = 1.50000 Error Degree Exponents 0.0000000000000002 0 0 0 0.0000000000000000 1 1 0 0.0000000000000007 1 0 1 0.0000000000000003 2 2 0 0.0000000000000002 2 1 1 0.0000000000000006 2 0 2 0.0000000000000001 3 3 0 0.0000000000000000 3 2 1 0.0000000000000004 3 1 2 0.0000000000000004 3 0 3 0.0000000000000008 4 4 0 0.0000000000000001 4 3 1 0.0000000000000001 4 2 2 0.0000000000000018 4 1 3 0.0000000000000004 4 0 4 0.0000000000000000 5 5 0 0.0000000000000005 5 4 1 0.0000000000000000 5 3 2 0.0000000000000000 5 2 3 0.0000000000000000 5 1 4 0.0000000000000002 5 0 5 0.0666666666666679 6 6 0 0.0000000000000000 6 5 1 0.1904761904761900 6 4 2 0.0000000000000000 6 3 3 0.0000000000000001 6 2 4 0.0000000000000568 6 1 5 0.0000000000000003 6 0 6 0.0000000000000000 7 7 0 0.0666666666666672 7 6 1 0.0000000000000000 7 5 2 0.4021164021164019 7 4 3 0.0000000000000000 7 3 4 0.0000000000000000 7 2 5 0.0000000000000000 7 1 6 0.0000000000000002 7 0 7 NINT_EXACTNESS_MIXED: Normal end of execution. 16 October 2008 9:48:48.088 PM