23 January 2008 1:55:03.724 PM INT_EXACTNESS FORTRAN90 version Investigate the polynomial exactness of a quadrature rule by integrating all monomials of a given degree over the [0,1] interval. If necessary, the rule is adjusted to the [0,1] interval. INT_EXACTNESS: User input: Quadrature rule X file = "ncc_d2_o5x5_x.txt". Quadrature rule W file = "ncc_d2_o5x5_w.txt". Quadrature rule R file = "ncc_d2_o5x5_r.txt". Maximum degree to check = 7 Spatial dimension = 2 Number of points = 25 The quadrature rule to be tested: ORDER = 25 Standard rule: Integral ( R(1) <= x <= R(2) ) f(x) dx is to be approximated by sum ( 1 <= I <= ORDER ) w(i) * f(x(i)). Weights W: 0.2419753086419753E-01 0.1106172839506173 0.4148148148148147E-01 0.1106172839506173 0.2419753086419753E-01 0.1106172839506173 0.5056790123456790 0.1896296296296296 0.5056790123456790 0.1106172839506173 0.4148148148148147E-01 0.1896296296296296 0.7111111111111108E-01 0.1896296296296296 0.4148148148148147E-01 0.1106172839506173 0.5056790123456790 0.1896296296296296 0.5056790123456790 0.1106172839506173 0.2419753086419753E-01 0.1106172839506173 0.4148148148148147E-01 0.1106172839506173 0.2419753086419753E-01 Abscissas X: -1.0000000000000000 -1.0000000000000000 -1.0000000000000000 -0.5000000000000000 -1.0000000000000000 0.000000000000000 -1.0000000000000000 0.5000000000000000 -1.0000000000000000 1.0000000000000000 -0.5000000000000000 -1.0000000000000000 -0.5000000000000000 -0.5000000000000000 -0.5000000000000000 0.000000000000000 -0.5000000000000000 0.5000000000000000 -0.5000000000000000 1.0000000000000000 0.000000000000000 -1.0000000000000000 0.000000000000000 -0.5000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.5000000000000000 0.000000000000000 1.0000000000000000 0.5000000000000000 -1.0000000000000000 0.5000000000000000 -0.5000000000000000 0.5000000000000000 0.000000000000000 0.5000000000000000 0.5000000000000000 0.5000000000000000 1.0000000000000000 1.0000000000000000 -1.0000000000000000 1.0000000000000000 -0.5000000000000000 1.0000000000000000 0.000000000000000 1.0000000000000000 0.5000000000000000 1.0000000000000000 1.0000000000000000 Region R: -1.0000000000000000 -1.0000000000000000 1.0000000000000000 1.0000000000000000 Error Degree Exponents 0.0000000000000002 1 1 0 0.0000000000000002 2 2 0 0.0000000000000000 2 1 1 0.0000000000000000 3 3 0 0.0000000000000000 3 2 1 0.0000000000000002 3 1 2 0.0000000000000000 4 4 0 0.0000000000000000 4 3 1 0.0000000000000000 4 2 2 0.0000000000000000 4 1 3 0.0000000000000002 5 5 0 0.0000000000000001 5 4 1 0.0000000000000000 5 3 2 0.0000000000000002 5 2 3 0.0000000000000000 5 1 4 0.0026041666666667 6 6 0 0.0000000000000000 6 5 1 0.0000000000000000 6 4 2 0.0000000000000000 6 3 3 0.0000000000000000 6 2 4 0.0000000000000000 6 1 5 0.0104166666666667 7 7 0 0.0026041666666667 7 6 1 0.0000000000000002 7 5 2 0.0000000000000002 7 4 3 0.0000000000000000 7 3 4 0.0000000000000002 7 2 5 0.0026041666666667 7 1 6 INT_EXACTNESS: Normal end of execution. 23 January 2008 1:55:03.730 PM