16 October 2008 2:28:18.275 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_ccxlg_a.txt". Quadrature rule B file = "sparse_grid_mixed_d2_l2_ccxlg_b.txt". Quadrature rule R file = "sparse_grid_mixed_d2_l2_ccxlg_r.txt". Quadrature rule W file = "sparse_grid_mixed_d2_l2_ccxlg_w.txt". Quadrature rule X file = "sparse_grid_mixed_d2_l2_ccxlg_x.txt". Maximum total degree to check = 7 Spatial dimension = 2 Number of points = 21 Analysis of integration region: 1 Gauss Legendre 2 Gauss Laguerre. Error Degree Exponents 0.0000000000000000 0 0 0 0.0000000000000001 1 1 0 0.0000000000000001 1 0 1 0.0000000000000003 2 2 0 0.0000000000000001 2 1 1 0.0000000000000000 2 0 2 0.0000000000000001 3 3 0 0.0000000000000002 3 2 1 0.0000000000000001 3 1 2 0.0000000000000001 3 0 3 0.0000000000000001 4 4 0 0.0000000000000001 4 3 1 0.0000000000000002 4 2 2 0.0000000000000000 4 1 3 0.0000000000000001 4 0 4 0.0000000000000000 5 5 0 0.0000000000000000 5 4 1 0.0000000000000001 5 3 2 0.0000000000000002 5 2 3 0.0000000000000000 5 1 4 0.0000000000000001 5 0 5 0.0666666666666666 6 6 0 0.0000000000000000 6 5 1 0.3333333333333335 6 4 2 0.0000000000000000 6 3 3 0.0000000000000000 6 2 4 0.0000000000000000 6 1 5 0.0000000000000003 6 0 6 0.0000000000000000 7 7 0 0.0666666666666664 7 6 1 0.0000000000000000 7 5 2 0.5555555555555557 7 4 3 0.0000000000000000 7 3 4 0.0000000000000002 7 2 5 0.0000000000000000 7 1 6 0.0000000000000004 7 0 7 NINT_EXACTNESS_MIXED: Normal end of execution. 16 October 2008 2:28:18.283 PM