17 October 2008 10:49:49 AM

NINT_EXACTNESS_MIXED
  C++ version

  Compiled on Oct 17 2008 at 10:48:48.

  Investigate the polynomial exactness of
  a multidimensional quadrature rule
  for a region R = R1 x R2 x ... x RM.

  Individual rules may be for:

  Legendre:
  region: [-1,+1]
  weight: w(x)=1
  rules: Gauss-Legendre, Clenshaw-Curtis, Fejer2, Gauss-Patterson

  Jacobi:
  region: [-1,+1]
  weight: w(x)=(1-x)^alpha (1+x)^beta
  rules: Gauss-Jacobi

  Laguerre:
  region: [0,+oo)
  weight: w(x)=exp(-x)
  rules: Gauss-Laguerre

  Generalized Laguerre:
  region: [0,+oo)
  weight: w(x)=x^alpha exp(-x)
  rules: Generalized Gauss-Laguerre

  Hermite:
  region: (-oo,+o)
  weight: w(x)=exp(-x*x)
  rules: Gauss-Hermite

  Generalized Hermite:
  region: (-oo,+oo)
  weight: w(x)=|x|^alpha exp(-x*x)
  rules: generalized Gauss-Hermite

NINT_EXACTNESS: User input:
  Quadrature rule A file = "sparse_grid_mixed_d3_l2_ccxf2xgh_a.txt".
  Quadrature rule B file = "sparse_grid_mixed_d3_l2_ccxf2xgh_b.txt".
  Quadrature rule R file = "sparse_grid_mixed_d3_l2_ccxf2xgh_r.txt".
  Quadrature rule W file = "sparse_grid_mixed_d3_l2_ccxf2xgh_w.txt".
  Quadrature rule X file = "sparse_grid_mixed_d3_l2_ccxf2xgh_x.txt".
  Maximum total degree to check = 7

  Spatial dimension = 3
  Number of points  = 31

  Analysis of integration region:

     0  Gauss Legendre.
     1  Gauss Legendre.
     2  Gauss Hermite dimension.

      Error    Degree  Exponents

   5.01101e-16      0   0 0 0

             0      1   1 0 0
   6.66134e-16      1   0 1 0
   5.72459e-17      1   0 0 1

   3.75826e-16      2   2 0 0
             0      2   1 1 0
             0      2   0 2 0
             0      2   1 0 1
             0      2   0 1 1
   1.25275e-16      2   0 0 2

             0      3   3 0 0
             0      3   2 1 0
             0      3   1 2 0
   1.66533e-16      3   0 3 0
             0      3   2 0 1
             0      3   1 1 1
             0      3   0 2 1
             0      3   1 0 2
   2.22045e-16      3   0 1 2
   1.11022e-16      3   0 0 3

   6.26376e-16      4   4 0 0
             0      4   3 1 0
   1.40935e-16      4   2 2 0
             0      4   1 3 0
   1.56594e-16      4   0 4 0
             0      4   3 0 1
             0      4   2 1 1
             0      4   1 2 1
             0      4   0 3 1
   1.87913e-16      4   2 0 2
             0      4   1 1 2
   1.87913e-16      4   0 2 2
             0      4   1 0 3
             0      4   0 1 3
   1.67034e-16      4   0 0 4

             0      5   5 0 0
             0      5   4 1 0
             0      5   3 2 0
             0      5   2 3 0
             0      5   1 4 0
   1.11022e-16      5   0 5 0
             0      5   4 0 1
             0      5   3 1 1
             0      5   2 2 1
             0      5   1 3 1
   1.38778e-17      5   0 4 1
             0      5   3 0 2
             0      5   2 1 2
             0      5   1 2 2
   1.11022e-16      5   0 3 2
             0      5   2 0 3
             0      5   1 1 3
             0      5   0 2 3
             0      5   1 0 4
   2.22045e-16      5   0 1 4
   1.11022e-16      5   0 0 5

     0.0666667      6   6 0 0
             0      6   5 1 0
      0.666667      6   4 2 0
             0      6   3 3 0
      0.166667      6   2 4 0
             0      6   1 5 0
   6.57695e-16      6   0 6 0
             0      6   5 0 1
             0      6   4 1 1
             0      6   3 2 1
             0      6   2 3 1
             0      6   1 4 1
             0      6   0 5 1
      0.666667      6   4 0 2
             0      6   3 1 2
             1      6   2 2 2
             0      6   1 3 2
      0.166667      6   0 4 2
             0      6   3 0 3
             0      6   2 1 3
             0      6   1 2 3
             0      6   0 3 3
   1.25275e-16      6   2 0 4
             0      6   1 1 4
   2.50551e-16      6   0 2 4
             0      6   1 0 5
             0      6   0 1 5
   9.35389e-16      6   0 0 6

             0      7   7 0 0
             0      7   6 1 0
             0      7   5 2 0
             0      7   4 3 0
             0      7   3 4 0
             0      7   2 5 0
             0      7   1 6 0
   2.77556e-17      7   0 7 0
             0      7   6 0 1
             0      7   5 1 1
             0      7   4 2 1
             0      7   3 3 1
             0      7   2 4 1
             0      7   1 5 1
   6.93889e-18      7   0 6 1
             0      7   5 0 2
             0      7   4 1 2
             0      7   3 2 2
             0      7   2 3 2
             0      7   1 4 2
   5.55112e-17      7   0 5 2
             0      7   4 0 3
             0      7   3 1 3
             0      7   2 2 3
             0      7   1 3 3
             0      7   0 4 3
             0      7   3 0 4
             0      7   2 1 4
             0      7   1 2 4
   1.11022e-16      7   0 3 4
             0      7   2 0 5
             0      7   1 1 5
             0      7   0 2 5
             0      7   1 0 6
   4.44089e-16      7   0 1 6
   4.44089e-16      7   0 0 7


NINT_EXACTNESS_MIXED:
  Normal end of execution.

17 October 2008 10:49:49 AM