04-Jul-2007 21:04:14 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 = "keast7_x.txt". Quadrature rule W file = "keast7_w.txt". Quadrature rule R file = "keast7_r.txt". Maximum total degree to check = 9 Spatial dimension = 3 Number of points = 24 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 0.002281 7 7 0 0 0.005322 7 6 1 0 0.007417 7 5 2 0 0.004376 7 4 3 0 0.004376 7 3 4 0 0.007417 7 2 5 0 0.005322 7 1 6 0 0.002281 7 0 7 0 0.005322 7 6 0 1 0.008548 7 5 1 1 0.011979 7 4 2 1 0.017505 7 3 3 1 0.011979 7 2 4 1 0.008548 7 1 5 1 0.005322 7 0 6 1 0.007417 7 5 0 2 0.011979 7 4 1 2 0.000575 7 3 2 2 0.000575 7 2 3 2 0.011979 7 1 4 2 0.007417 7 0 5 2 0.004376 7 4 0 3 0.017505 7 3 1 3 0.000575 7 2 2 3 0.017505 7 1 3 3 0.004376 7 0 4 3 0.004376 7 3 0 4 0.011979 7 2 1 4 0.011979 7 1 2 4 0.004376 7 0 3 4 0.007417 7 2 0 5 0.008548 7 1 1 5 0.007417 7 0 2 5 0.005322 7 1 0 6 0.005322 7 0 1 6 0.002281 7 0 0 7 0.009940 8 8 0 0 0.018142 8 7 1 0 0.013943 8 6 2 0 0.009136 8 5 3 0 0.031122 8 4 4 0 0.009136 8 3 5 0 0.013943 8 2 6 0 0.018142 8 1 7 0 0.009940 8 0 8 0 0.018142 8 7 0 1 0.020285 8 6 1 1 0.014738 8 5 2 1 0.015334 8 4 3 1 0.015334 8 3 4 1 0.014738 8 2 5 1 0.020285 8 1 6 1 0.018142 8 0 7 1 0.013943 8 6 0 2 0.014738 8 5 1 2 0.043751 8 4 2 2 0.028534 8 3 3 2 0.043751 8 2 4 2 0.014738 8 1 5 2 0.013943 8 0 6 2 0.009136 8 5 0 3 0.015334 8 4 1 3 0.028534 8 3 2 3 0.028534 8 2 3 3 0.015334 8 1 4 3 0.009136 8 0 5 3 0.031122 8 4 0 4 0.015334 8 3 1 4 0.043751 8 2 2 4 0.015334 8 1 3 4 0.031122 8 0 4 4 0.009136 8 3 0 5 0.014738 8 2 1 5 0.014738 8 1 2 5 0.009136 8 0 3 5 0.013943 8 2 0 6 0.020285 8 1 1 6 0.013943 8 0 2 6 0.018142 8 1 0 7 0.018142 8 0 1 7 0.009940 8 0 0 8 0.025139 9 9 0 0 0.035659 9 8 1 0 0.007758 9 7 2 0 0.039732 9 6 3 0 0.041077 9 5 4 0 0.041077 9 4 5 0 0.039732 9 3 6 0 0.007758 9 2 7 0 0.035659 9 1 8 0 0.025139 9 0 9 0 0.035659 9 8 0 1 0.026021 9 7 1 1 0.003091 9 6 2 1 0.017774 9 5 3 1 0.018655 9 4 4 1 0.017774 9 3 5 1 0.003091 9 2 6 1 0.026021 9 1 7 1 0.035659 9 0 8 1 0.007758 9 7 0 2 0.003091 9 6 1 2 0.100280 9 5 2 2 0.003688 9 4 3 2 0.003688 9 3 4 2 0.100280 9 2 5 2 0.003091 9 1 6 2 0.007758 9 0 7 2 0.039732 9 6 0 3 0.017774 9 5 1 3 0.003688 9 4 2 3 0.100239 9 3 3 3 0.003688 9 2 4 3 0.017774 9 1 5 3 0.039732 9 0 6 3 0.041077 9 5 0 4 0.018655 9 4 1 4 0.003688 9 3 2 4 0.003688 9 2 3 4 0.018655 9 1 4 4 0.041077 9 0 5 4 0.041077 9 4 0 5 0.017774 9 3 1 5 0.100280 9 2 2 5 0.017774 9 1 3 5 0.041077 9 0 4 5 0.039732 9 3 0 6 0.003091 9 2 1 6 0.003091 9 1 2 6 0.039732 9 0 3 6 0.007758 9 2 0 7 0.026021 9 1 1 7 0.007758 9 0 2 7 0.035659 9 1 0 8 0.035659 9 0 1 8 0.025139 9 0 0 9 NINT_EXACTNESS_TET: Normal end of execution. 04-Jul-2007 21:04:15