04-Jul-2007 21:07:32 NINT_EXACTNESS_TET MATLAB version Investigate the polynomial exactness of a quadrature rule for the tetrahedron by integrating all monomials of a given degree. The rule will be adjusted to the unit tetrahedron. NINT_EXACTNESS_TET: User input: Quadrature rule X file = "nco6_x.txt". Quadrature rule W file = "nco6_w.txt". Quadrature rule R file = "nco6_r.txt". Maximum total degree to check = 8 Spatial dimension = 3 Number of points = 84 Error Degree Exponents 0.000000 0 0 0 0 0.000000 1 1 0 0 0.000000 1 0 1 0 0.000000 1 0 0 1 0.000000 2 2 0 0 0.000000 2 1 1 0 0.000000 2 0 2 0 0.000000 2 1 0 1 0.000000 2 0 1 1 0.000000 2 0 0 2 0.000000 3 3 0 0 0.000000 3 2 1 0 0.000000 3 1 2 0 0.000000 3 0 3 0 0.000000 3 2 0 1 0.000000 3 1 1 1 0.000000 3 0 2 1 0.000000 3 1 0 2 0.000000 3 0 1 2 0.000000 3 0 0 3 0.000000 4 4 0 0 0.000000 4 3 1 0 0.000000 4 2 2 0 0.000000 4 1 3 0 0.000000 4 0 4 0 0.000000 4 3 0 1 0.000000 4 2 1 1 0.000000 4 1 2 1 0.000000 4 0 3 1 0.000000 4 2 0 2 0.000000 4 1 1 2 0.000000 4 0 2 2 0.000000 4 1 0 3 0.000000 4 0 1 3 0.000000 4 0 0 4 0.000000 5 5 0 0 0.000000 5 4 1 0 0.000000 5 3 2 0 0.000000 5 2 3 0 0.000000 5 1 4 0 0.000000 5 0 5 0 0.000000 5 4 0 1 0.000000 5 3 1 1 0.000000 5 2 2 1 0.000000 5 1 3 1 0.000000 5 0 4 1 0.000000 5 3 0 2 0.000000 5 2 1 2 0.000000 5 1 2 2 0.000000 5 0 3 2 0.000000 5 2 0 3 0.000000 5 1 1 3 0.000000 5 0 2 3 0.000000 5 1 0 4 0.000000 5 0 1 4 0.000000 5 0 0 5 0.000000 6 6 0 0 0.000000 6 5 1 0 0.000000 6 4 2 0 0.000000 6 3 3 0 0.000000 6 2 4 0 0.000000 6 1 5 0 0.000000 6 0 6 0 0.000000 6 5 0 1 0.000000 6 4 1 1 0.000000 6 3 2 1 0.000000 6 2 3 1 0.000000 6 1 4 1 0.000000 6 0 5 1 0.000000 6 4 0 2 0.000000 6 3 1 2 0.000000 6 2 2 2 0.000000 6 1 3 2 0.000000 6 0 4 2 0.000000 6 3 0 3 0.000000 6 2 1 3 0.000000 6 1 2 3 0.000000 6 0 3 3 0.000000 6 2 0 4 0.000000 6 1 1 4 0.000000 6 0 2 4 0.000000 6 1 0 5 0.000000 6 0 1 5 0.000000 6 0 0 6 0.002880 7 7 0 0 0.006720 7 6 1 0 0.007760 7 5 2 0 0.003920 7 4 3 0 0.003920 7 3 4 0 0.007760 7 2 5 0 0.006720 7 1 6 0 0.002880 7 0 7 0 0.006720 7 6 0 1 0.012400 7 5 1 1 0.013520 7 4 2 1 0.015680 7 3 3 1 0.013520 7 2 4 1 0.012400 7 1 5 1 0.006720 7 0 6 1 0.007760 7 5 0 2 0.013520 7 4 1 2 0.000880 7 3 2 2 0.000880 7 2 3 2 0.013520 7 1 4 2 0.007760 7 0 5 2 0.003920 7 4 0 3 0.015680 7 3 1 3 0.000880 7 2 2 3 0.015680 7 1 3 3 0.003920 7 0 4 3 0.003920 7 3 0 4 0.013520 7 2 1 4 0.013520 7 1 2 4 0.003920 7 0 3 4 0.007760 7 2 0 5 0.012400 7 1 1 5 0.007760 7 0 2 5 0.006720 7 1 0 6 0.006720 7 0 1 6 0.002880 7 0 0 7 0.008546 8 8 0 0 0.012229 8 7 1 0 0.010741 8 6 2 0 0.046437 8 5 3 0 0.070405 8 4 4 0 0.046437 8 3 5 0 0.010741 8 2 6 0 0.012229 8 1 7 0 0.008546 8 0 8 0 0.012229 8 7 0 1 0.016583 8 6 1 1 0.005246 8 5 2 1 0.003156 8 4 3 1 0.003156 8 3 4 1 0.005246 8 2 5 1 0.016583 8 1 6 1 0.012229 8 0 7 1 0.010741 8 6 0 2 0.005246 8 5 1 2 0.078317 8 4 2 2 0.052143 8 3 3 2 0.078317 8 2 4 2 0.005246 8 1 5 2 0.010741 8 0 6 2 0.046437 8 5 0 3 0.003156 8 4 1 3 0.052143 8 3 2 3 0.052143 8 2 3 3 0.003156 8 1 4 3 0.046437 8 0 5 3 0.070405 8 4 0 4 0.003156 8 3 1 4 0.078317 8 2 2 4 0.003156 8 1 3 4 0.070405 8 0 4 4 0.046437 8 3 0 5 0.005246 8 2 1 5 0.005246 8 1 2 5 0.046437 8 0 3 5 0.010741 8 2 0 6 0.016583 8 1 1 6 0.010741 8 0 2 6 0.012229 8 1 0 7 0.012229 8 0 1 7 0.008546 8 0 0 8 NINT_EXACTNESS_TET: Normal end of execution. 04-Jul-2007 21:07:33