16 October 2008   9:51:13.208 PM
 
NINT_EXACTNESS_MIXED
  FORTRAN90 version
 
  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_d2_l2_f2xgj_a.txt".
  Quadrature rule B file = "sparse_grid_mixed_d2_l2_f2xgj_b.txt".
  Quadrature rule R file = "sparse_grid_mixed_d2_l2_f2xgj_r.txt".
  Quadrature rule W file = "sparse_grid_mixed_d2_l2_f2xgj_w.txt".
  Quadrature rule X file = "sparse_grid_mixed_d2_l2_f2xgj_x.txt".
  Maximum total degree to check =        7
 
  Spatial dimension =        2
  Number of points  =       23
 
  Analysis of integration region:
 
     1    Gauss Legendre
     2    Gauss Jacobi, ALPHA =   0.500000     BETA =    1.50000    
 
          Error          Degree  Exponents
 
        0.0000000000000004    0     0 0
 
        0.0000000000000001    1     1 0
        0.0000000000000007    1     0 1
 
        0.0000000000000006    2     2 0
        0.0000000000000000    2     1 1
        0.0000000000000006    2     0 2
 
        0.0000000000000000    3     3 0
        0.0000000000000006    3     2 1
        0.0000000000000000    3     1 2
        0.0000000000000014    3     0 3
 
        0.0000000000000009    4     4 0
        0.0000000000000000    4     3 1
        0.0000000000000004    4     2 2
        0.0000000000000000    4     1 3
        0.0000000000000016    4     0 4
 
        0.0000000000000000    5     5 0
        0.0000000000000007    5     4 1
        0.0000000000000000    5     3 2
        0.0000000000000004    5     2 3
        0.0000000000000000    5     1 4
        0.0000000000000008    5     0 5
 
        0.0000000000000009    6     6 0
        0.0000000000000000    6     5 1
        0.1249999999999998    6     4 2
        0.0000000000000000    6     3 3
        0.0000000000000006    6     2 4
        0.0000000000000000    6     1 5
        0.0000000000000008    6     0 6
 
        0.0000000000000000    7     7 0
        0.0000000000000007    7     6 1
        0.0000000000000000    7     5 2
        0.1458333333333332    7     4 3
        0.0000000000000000    7     3 4
        0.0000000000000003    7     2 5
        0.0000000000000000    7     1 6
        0.0000000000000010    7     0 7
 
 
NINT_EXACTNESS_MIXED:
  Normal end of execution.
 
16 October 2008   9:51:13.216 PM