4 July 2007 7:52:35.381 AM NINT_EXACTNESS_TET FORTRAN90 version Investigate the polynomial exactness of a quadrature rule for a 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 = "ncc6_x.txt". Quadrature rule W file = "ncc6_w.txt". Quadrature rule R file = "ncc6_r.txt". Maximum total degree to check = 8 Spatial dimension = 3 Number of points = 84 Error Degree Exponents 0.0000000000000006 0 0 0 0 0.0000000000000003 1 1 0 0 0.0000000000000002 1 0 1 0 0.0000000000000002 1 0 0 1 0.0000000000000007 2 2 0 0 0.0000000000000002 2 1 1 0 0.0000000000000009 2 0 2 0 0.0000000000000002 2 1 0 1 0.0000000000000002 2 0 1 1 0.0000000000000010 2 0 0 2 0.0000000000000010 3 3 0 0 0.0000000000000001 3 2 1 0 0.0000000000000003 3 1 2 0 0.0000000000000010 3 0 3 0 0.0000000000000001 3 2 0 1 0.0000000000000002 3 1 1 1 0.0000000000000001 3 0 2 1 0.0000000000000001 3 1 0 2 0.0000000000000001 3 0 1 2 0.0000000000000010 3 0 0 3 0.0000000000000012 4 4 0 0 0.0000000000000002 4 3 1 0 0.0000000000000002 4 2 2 0 0.0000000000000002 4 1 3 0 0.0000000000000012 4 0 4 0 0.0000000000000002 4 3 0 1 0.0000000000000000 4 2 1 1 0.0000000000000002 4 1 2 1 0.0000000000000002 4 0 3 1 0.0000000000000002 4 2 0 2 0.0000000000000002 4 1 1 2 0.0000000000000002 4 0 2 2 0.0000000000000002 4 1 0 3 0.0000000000000002 4 0 1 3 0.0000000000000012 4 0 0 4 0.0000000000000027 5 5 0 0 0.0000000000000000 5 4 1 0 0.0000000000000004 5 3 2 0 0.0000000000000009 5 2 3 0 0.0000000000000002 5 1 4 0 0.0000000000000027 5 0 5 0 0.0000000000000002 5 4 0 1 0.0000000000000002 5 3 1 1 0.0000000000000002 5 2 2 1 0.0000000000000002 5 1 3 1 0.0000000000000002 5 0 4 1 0.0000000000000004 5 3 0 2 0.0000000000000002 5 2 1 2 0.0000000000000002 5 1 2 2 0.0000000000000004 5 0 3 2 0.0000000000000009 5 2 0 3 0.0000000000000002 5 1 1 3 0.0000000000000009 5 0 2 3 0.0000000000000002 5 1 0 4 0.0000000000000000 5 0 1 4 0.0000000000000027 5 0 0 5 0.0000000000000036 6 6 0 0 0.0000000000000010 6 5 1 0 0.0000000000000004 6 4 2 0 0.0000000000000002 6 3 3 0 0.0000000000000004 6 2 4 0 0.0000000000000007 6 1 5 0 0.0000000000000036 6 0 6 0 0.0000000000000007 6 5 0 1 0.0000000000000004 6 4 1 1 0.0000000000000004 6 3 2 1 0.0000000000000004 6 2 3 1 0.0000000000000004 6 1 4 1 0.0000000000000007 6 0 5 1 0.0000000000000004 6 4 0 2 0.0000000000000007 6 3 1 2 0.0000000000000007 6 2 2 2 0.0000000000000004 6 1 3 2 0.0000000000000004 6 0 4 2 0.0000000000000002 6 3 0 3 0.0000000000000007 6 2 1 3 0.0000000000000004 6 1 2 3 0.0000000000000002 6 0 3 3 0.0000000000000004 6 2 0 4 0.0000000000000002 6 1 1 4 0.0000000000000004 6 0 2 4 0.0000000000000007 6 1 0 5 0.0000000000000007 6 0 1 5 0.0000000000000036 6 0 0 6 0.0092592592592620 7 7 0 0 0.0216049382716044 7 6 1 0 0.0231481481481475 7 5 2 0 0.0108024691358035 7 4 3 0 0.0108024691358035 7 3 4 0 0.0231481481481478 7 2 5 0 0.0216049382716044 7 1 6 0 0.0092592592592626 7 0 7 0 0.0216049382716044 7 6 0 1 0.0416666666666663 7 5 1 1 0.0416666666666670 7 4 2 1 0.0432098765432098 7 3 3 1 0.0416666666666670 7 2 4 1 0.0416666666666665 7 1 5 1 0.0216049382716044 7 0 6 1 0.0231481481481475 7 5 0 2 0.0416666666666670 7 4 1 2 0.0046296296296288 7 3 2 2 0.0046296296296288 7 2 3 2 0.0416666666666670 7 1 4 2 0.0231481481481476 7 0 5 2 0.0108024691358035 7 4 0 3 0.0432098765432097 7 3 1 3 0.0046296296296288 7 2 2 3 0.0432098765432098 7 1 3 3 0.0108024691358035 7 0 4 3 0.0108024691358033 7 3 0 4 0.0416666666666670 7 2 1 4 0.0416666666666670 7 1 2 4 0.0108024691358035 7 0 3 4 0.0231481481481478 7 2 0 5 0.0416666666666667 7 1 1 5 0.0231481481481478 7 0 2 5 0.0216049382716044 7 1 0 6 0.0216049382716044 7 0 1 6 0.0092592592592622 7 0 0 7 0.0451388888888913 8 8 0 0 0.0864197530864184 8 7 1 0 0.0493827160493822 8 6 2 0 0.0324074074074062 8 5 3 0 0.0821759259259272 8 4 4 0 0.0324074074074064 8 3 5 0 0.0493827160493823 8 2 6 0 0.0864197530864184 8 1 7 0 0.0451388888888916 8 0 8 0 0.0864197530864184 8 7 0 1 0.1342592592592594 8 6 1 1 0.0694444444444449 8 5 2 1 0.0239197530864195 8 4 3 1 0.0239197530864197 8 3 4 1 0.0694444444444449 8 2 5 1 0.1342592592592594 8 1 6 1 0.0864197530864186 8 0 7 1 0.0493827160493822 8 6 0 2 0.0694444444444449 8 5 1 2 0.0821759259259269 8 4 2 2 0.0663580246913574 8 3 3 2 0.0821759259259263 8 2 4 2 0.0694444444444449 8 1 5 2 0.0493827160493822 8 0 6 2 0.0324074074074062 8 5 0 3 0.0239197530864192 8 4 1 3 0.0663580246913570 8 3 2 3 0.0663580246913570 8 2 3 3 0.0239197530864192 8 1 4 3 0.0324074074074062 8 0 5 3 0.0821759259259272 8 4 0 4 0.0239197530864195 8 3 1 4 0.0821759259259263 8 2 2 4 0.0239197530864195 8 1 3 4 0.0821759259259272 8 0 4 4 0.0324074074074062 8 3 0 5 0.0694444444444449 8 2 1 5 0.0694444444444449 8 1 2 5 0.0324074074074064 8 0 3 5 0.0493827160493823 8 2 0 6 0.1342592592592594 8 1 1 6 0.0493827160493823 8 0 2 6 0.0864197530864184 8 1 0 7 0.0864197530864186 8 0 1 7 0.0451388888888916 8 0 0 8 NINT_EXACTNESS_TET: Normal end of execution. 4 July 2007 7:52:35.405 AM