4 July 2007 7:51:55.854 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 = "keast8_x.txt". Quadrature rule W file = "keast8_w.txt". Quadrature rule R file = "keast8_r.txt". Maximum total degree to check = 8 Spatial dimension = 3 Number of points = 31 Error Degree Exponents 0.0000000000000006 0 0 0 0 0.0000000000000007 1 1 0 0 0.0000000000000007 1 0 1 0 0.0000000000000009 1 0 0 1 0.0000000000000027 2 2 0 0 0.0000000000000011 2 1 1 0 0.0000000000000027 2 0 2 0 0.0000000000000011 2 1 0 1 0.0000000000000013 2 0 1 1 0.0000000000000031 2 0 0 2 0.0000000000000040 3 3 0 0 0.0000000000000011 3 2 1 0 0.0000000000000011 3 1 2 0 0.0000000000000042 3 0 3 0 0.0000000000000011 3 2 0 1 0.0000000000000060 3 1 1 1 0.0000000000000011 3 0 2 1 0.0000000000000011 3 1 0 2 0.0000000000000011 3 0 1 2 0.0000000000000040 3 0 0 3 0.0000000000000042 4 4 0 0 0.0000000000000026 4 3 1 0 0.0000000000000036 4 2 2 0 0.0000000000000026 4 1 3 0 0.0000000000000042 4 0 4 0 0.0000000000000026 4 3 0 1 0.0000000000000049 4 2 1 1 0.0000000000000047 4 1 2 1 0.0000000000000029 4 0 3 1 0.0000000000000036 4 2 0 2 0.0000000000000049 4 1 1 2 0.0000000000000034 4 0 2 2 0.0000000000000028 4 1 0 3 0.0000000000000028 4 0 1 3 0.0000000000000042 4 0 0 4 0.0000000000000050 5 5 0 0 0.0000000000000038 5 4 1 0 0.0000000000000060 5 3 2 0 0.0000000000000060 5 2 3 0 0.0000000000000040 5 1 4 0 0.0000000000000050 5 0 5 0 0.0000000000000038 5 4 0 1 0.0000000000000036 5 3 1 1 0.0000000000000038 5 2 2 1 0.0000000000000036 5 1 3 1 0.0000000000000038 5 0 4 1 0.0000000000000060 5 3 0 2 0.0000000000000038 5 2 1 2 0.0000000000000038 5 1 2 2 0.0000000000000062 5 0 3 2 0.0000000000000060 5 2 0 3 0.0000000000000036 5 1 1 3 0.0000000000000060 5 0 2 3 0.0000000000000038 5 1 0 4 0.0000000000000038 5 0 1 4 0.0000000000000050 5 0 0 5 0.0000000000000048 6 6 0 0 0.0000000000000049 6 5 1 0 0.0000000000000073 6 4 2 0 0.0000000000000097 6 3 3 0 0.0000000000000075 6 2 4 0 0.0000000000000044 6 1 5 0 0.0000000000000048 6 0 6 0 0.0000000000000049 6 5 0 1 0.0000000000000040 6 4 1 1 0.0000000000000018 6 3 2 1 0.0000000000000018 6 2 3 1 0.0000000000000040 6 1 4 1 0.0000000000000046 6 0 5 1 0.0000000000000073 6 4 0 2 0.0000000000000020 6 3 1 2 0.0000000000000056 6 2 2 2 0.0000000000000018 6 1 3 2 0.0000000000000073 6 0 4 2 0.0000000000000097 6 3 0 3 0.0000000000000020 6 2 1 3 0.0000000000000018 6 1 2 3 0.0000000000000097 6 0 3 3 0.0000000000000073 6 2 0 4 0.0000000000000040 6 1 1 4 0.0000000000000075 6 0 2 4 0.0000000000000046 6 1 0 5 0.0000000000000046 6 0 1 5 0.0000000000000048 6 0 0 6 0.0000000000000043 7 7 0 0 0.0000000000000060 7 6 1 0 0.0000000000000088 7 5 2 0 0.0000000000000111 7 4 3 0 0.0000000000000113 7 3 4 0 0.0000000000000090 7 2 5 0 0.0000000000000056 7 1 6 0 0.0000000000000046 7 0 7 0 0.0000000000000060 7 6 0 1 0.0000000000000031 7 5 1 1 0.0000000000000011 7 4 2 1 0.0000000000000028 7 3 3 1 0.0000000000000009 7 2 4 1 0.0000000000000029 7 1 5 1 0.0000000000000056 7 0 6 1 0.0000000000000090 7 5 0 2 0.0000000000000011 7 4 1 2 0.0000000000000049 7 3 2 2 0.0000000000000049 7 2 3 2 0.0000000000000007 7 1 4 2 0.0000000000000090 7 0 5 2 0.0000000000000111 7 4 0 3 0.0000000000000024 7 3 1 3 0.0000000000000051 7 2 2 3 0.0000000000000026 7 1 3 3 0.0000000000000113 7 0 4 3 0.0000000000000113 7 3 0 4 0.0000000000000009 7 2 1 4 0.0000000000000011 7 1 2 4 0.0000000000000113 7 0 3 4 0.0000000000000090 7 2 0 5 0.0000000000000033 7 1 1 5 0.0000000000000090 7 0 2 5 0.0000000000000056 7 1 0 6 0.0000000000000052 7 0 1 6 0.0000000000000043 7 0 0 7 0.0011255142461956 8 8 0 0 0.0030013713231707 8 7 1 0 0.0084979669684878 8 6 2 0 0.0139841130113894 8 5 3 0 0.0154853600771417 8 4 4 0 0.0139841130113891 8 3 5 0 0.0084979669684878 8 2 6 0 0.0030013713231705 8 1 7 0 0.0011255142461956 8 0 8 0 0.0030013713231707 8 7 0 1 0.0020068326626413 8 6 1 1 0.0045177313883304 8 5 2 1 0.0039895623742505 8 4 3 1 0.0039895623742505 8 3 4 1 0.0045177313883302 8 2 5 1 0.0020068326626417 8 1 6 1 0.0030013713231707 8 0 7 1 0.0084979669684878 8 6 0 2 0.0045177313883302 8 5 1 2 0.0078224555667290 8 4 2 2 0.0080336183769314 8 3 3 2 0.0078224555667289 8 2 4 2 0.0045177313883302 8 1 5 2 0.0084979669684880 8 0 6 2 0.0139841130113894 8 5 0 3 0.0039895623742503 8 4 1 3 0.0080336183769318 8 3 2 3 0.0080336183769318 8 2 3 3 0.0039895623742503 8 1 4 3 0.0139841130113896 8 0 5 3 0.0154853600771416 8 4 0 4 0.0039895623742505 8 3 1 4 0.0078224555667289 8 2 2 4 0.0039895623742505 8 1 3 4 0.0154853600771417 8 0 4 4 0.0139841130113891 8 3 0 5 0.0045177313883304 8 2 1 5 0.0045177313883304 8 1 2 5 0.0139841130113894 8 0 3 5 0.0084979669684878 8 2 0 6 0.0020068326626411 8 1 1 6 0.0084979669684878 8 0 2 6 0.0030013713231702 8 1 0 7 0.0030013713231705 8 0 1 7 0.0011255142461956 8 0 0 8 NINT_EXACTNESS_TET: Normal end of execution. 4 July 2007 7:51:55.869 AM