4 July 2007 7:52:08.379 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 = "keast9_x.txt". Quadrature rule W file = "keast9_w.txt". Quadrature rule R file = "keast9_r.txt". Maximum total degree to check = 9 Spatial dimension = 3 Number of points = 45 Error Degree Exponents 0.0000000000000009 0 0 0 0 0.0000000000000009 1 1 0 0 0.0000000000000009 1 0 1 0 0.0000000000000009 1 0 0 1 0.0000000000000004 2 2 0 0 0.0000000000000007 2 1 1 0 0.0000000000000004 2 0 2 0 0.0000000000000007 2 1 0 1 0.0000000000000007 2 0 1 1 0.0000000000000004 2 0 0 2 0.0000000000000002 3 3 0 0 0.0000000000000008 3 2 1 0 0.0000000000000009 3 1 2 0 0.0000000000000002 3 0 3 0 0.0000000000000008 3 2 0 1 0.0000000000000004 3 1 1 1 0.0000000000000008 3 0 2 1 0.0000000000000009 3 1 0 2 0.0000000000000008 3 0 1 2 0.0000000000000002 3 0 0 3 0.0000000000000007 4 4 0 0 0.0000000000000003 4 3 1 0 0.0000000000000002 4 2 2 0 0.0000000000000003 4 1 3 0 0.0000000000000007 4 0 4 0 0.0000000000000003 4 3 0 1 0.0000000000000008 4 2 1 1 0.0000000000000008 4 1 2 1 0.0000000000000003 4 0 3 1 0.0000000000000002 4 2 0 2 0.0000000000000007 4 1 1 2 0.0000000000000002 4 0 2 2 0.0000000000000006 4 1 0 3 0.0000000000000003 4 0 1 3 0.0000000000000007 4 0 0 4 0.0000000000000016 5 5 0 0 0.0000000000000002 5 4 1 0 0.0000000000000003 5 3 2 0 0.0000000000000003 5 2 3 0 0.0000000000000002 5 1 4 0 0.0000000000000016 5 0 5 0 0.0000000000000002 5 4 0 1 0.0000000000000006 5 3 1 1 0.0000000000000011 5 2 2 1 0.0000000000000006 5 1 3 1 0.0000000000000002 5 0 4 1 0.0000000000000002 5 3 0 2 0.0000000000000011 5 2 1 2 0.0000000000000011 5 1 2 2 0.0000000000000003 5 0 3 2 0.0000000000000003 5 2 0 3 0.0000000000000003 5 1 1 3 0.0000000000000003 5 0 2 3 0.0000000000000002 5 1 0 4 0.0000000000000002 5 0 1 4 0.0000000000000016 5 0 0 5 0.0000000000000022 6 6 0 0 0.0000000000000000 6 5 1 0 0.0000000000000000 6 4 2 0 0.0000000000000002 6 3 3 0 0.0000000000000000 6 2 4 0 0.0000000000000000 6 1 5 0 0.0000000000000022 6 0 6 0 0.0000000000000000 6 5 0 1 0.0000000000000000 6 4 1 1 0.0000000000000002 6 3 2 1 0.0000000000000002 6 2 3 1 0.0000000000000000 6 1 4 1 0.0000000000000000 6 0 5 1 0.0000000000000000 6 4 0 2 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0.0000000000000002 7 2 2 3 0.0000000000000006 7 1 3 3 0.0000000000000002 7 0 4 3 0.0000000000000000 7 3 0 4 0.0000000000000006 7 2 1 4 0.0000000000000006 7 1 2 4 0.0000000000000000 7 0 3 4 0.0000000000000000 7 2 0 5 0.0000000000000004 7 1 1 5 0.0000000000000000 7 0 2 5 0.0000000000000001 7 1 0 6 0.0000000000000001 7 0 1 6 0.0000000000000031 7 0 0 7 0.0000000000000049 8 8 0 0 0.0000000000000000 8 7 1 0 0.0000000000000006 8 6 2 0 0.0000000000000004 8 5 3 0 0.0000000000000002 8 4 4 0 0.0000000000000002 8 3 5 0 0.0000000000000002 8 2 6 0 0.0000000000000002 8 1 7 0 0.0000000000000049 8 0 8 0 0.0000000000000002 8 7 0 1 0.0000000000000000 8 6 1 1 0.0000000000000006 8 5 2 1 0.0000000000000006 8 4 3 1 0.0000000000000008 8 3 4 1 0.0000000000000004 8 2 5 1 0.0000000000000002 8 1 6 1 0.0000000000000000 8 0 7 1 0.0000000000000003 8 6 0 2 0.0000000000000009 8 5 1 2 0.0000000000000007 8 4 2 2 0.0000000000000012 8 3 3 2 0.0000000000000006 8 2 4 2 0.0000000000000006 8 1 5 2 0.0000000000000006 8 0 6 2 0.0000000000000004 8 5 0 3 0.0000000000000003 8 4 1 3 0.0000000000000006 8 3 2 3 0.0000000000000003 8 2 3 3 0.0000000000000003 8 1 4 3 0.0000000000000004 8 0 5 3 0.0000000000000002 8 4 0 4 0.0000000000000004 8 3 1 4 0.0000000000000007 8 2 2 4 0.0000000000000004 8 1 3 4 0.0000000000000002 8 0 4 4 0.0000000000000002 8 3 0 5 0.0000000000000006 8 2 1 5 0.0000000000000006 8 1 2 5 0.0000000000000002 8 0 3 5 0.0000000000000003 8 2 0 6 0.0000000000000002 8 1 1 6 0.0000000000000003 8 0 2 6 0.0000000000000000 8 1 0 7 0.0000000000000000 8 0 1 7 0.0000000000000049 8 0 0 8 0.0001141935130307 9 9 0 0 0.0003425805390734 9 8 1 0 0.0010250856203642 9 7 2 0 0.0013646013846439 9 6 3 0 0.0005679027903305 9 5 4 0 0.0005679027903303 9 4 5 0 0.0013646013846441 9 3 6 0 0.0010250856203642 9 2 7 0 0.0003425805390733 9 1 8 0 0.0001141935130307 9 0 9 0 0.0003425805390734 9 8 0 1 0.0003452365359335 9 7 1 1 0.0015408975943095 9 6 2 1 0.0029579985732737 9 5 3 1 0.0028395139516482 9 4 4 1 0.0029579985732737 9 3 5 1 0.0015408975943099 9 2 6 1 0.0003452365359335 9 1 7 1 0.0003425805390735 9 0 8 1 0.0010250856203642 9 7 0 2 0.0015408975943095 9 6 1 2 0.0020591622358670 9 5 2 2 0.0023404576341738 9 4 3 2 0.0023404576341741 9 3 4 2 0.0020591622358670 9 2 5 2 0.0015408975943099 9 1 6 2 0.0010250856203642 9 0 7 2 0.0013646013846439 9 6 0 3 0.0029579985732737 9 5 1 3 0.0023404576341735 9 4 2 3 0.0070738724968376 9 3 3 3 0.0023404576341737 9 2 4 3 0.0029579985732735 9 1 5 3 0.0013646013846437 9 0 6 3 0.0005679027903305 9 5 0 4 0.0028395139516481 9 4 1 4 0.0023404576341737 9 3 2 4 0.0023404576341737 9 2 3 4 0.0028395139516481 9 1 4 4 0.0005679027903305 9 0 5 4 0.0005679027903303 9 4 0 5 0.0029579985732737 9 3 1 5 0.0020591622358672 9 2 2 5 0.0029579985732737 9 1 3 5 0.0005679027903303 9 0 4 5 0.0013646013846441 9 3 0 6 0.0015408975943099 9 2 1 6 0.0015408975943099 9 1 2 6 0.0013646013846441 9 0 3 6 0.0010250856203642 9 2 0 7 0.0003452365359333 9 1 1 7 0.0010250856203642 9 0 2 7 0.0003425805390735 9 1 0 8 0.0003425805390734 9 0 1 8 0.0001141935130307 9 0 0 9 NINT_EXACTNESS_TET: Normal end of execution. 4 July 2007 7:52:08.400 AM