**hypercube_exactness_test**,
a Fortran90 code which
calls hypercube_exactness() to
investigate the polynomial exactness of a quadrature rule
over the interior of the hypercube in M dimensions.

The computer code and data files described and made available on this web page are distributed under the MIT license

hypercube_exactness, a Fortran90 code which measures the monomial exactness of an M-dimensional quadrature rule over the interior of the unit hypercube in M dimensions.

- hypercube_exactness_tst.sh, runs all the tests.
- hypercube_exactness_test.txt, the output file.

**CC_D1_O2** is a Clenshaw-Curtis order 2 rule for 1D.

- cc_d1_o2_x.txt, the abscissas of the rule.
- cc_d1_o2_w.txt, the weights of the rule.
- cc_d1_o2_r.txt, defines the region for the rule.
- cc_d1_o2_exact.txt, the results of the exactness test, up to degree 5.

**CC_D1_O3** is a Clenshaw-Curtis order 3 rule for 1D.
If you are paying attention, you may be surprised to see that
a Clenshaw Curtis rule of odd order has one more degree of
accuracy than you'd expect!

- cc_d1_o3_x.txt, the abscissas of the rule.
- cc_d1_o3_w.txt, the weights of the rule.
- cc_d1_o3_r.txt, defines the region for the rule.
- cc_d1_o3_exact.txt, the results of the exactness test, up to degree 5.

**CC_D2_O3x3** is a Clenshaw-Curtis 3x3 product rule for 2D.

- cc_d2_o3x3_x.txt, the abscissas of the rule.
- cc_d2_o3x3_w.txt, the weights of the rule.
- cc_d2_o3x3_r.txt, defines the region for the rule.
- cc_d2_o3x3_exact.txt, the results of the exactness test, up to degree 8.

**CCGL_D2_O3x2** is a product rule for 2D whose factors are
a Clenshaw-Curtis of order 3 and a Gauss-Legendre rule of order 2.

- ccgl_d2_o3x2_x.txt, the abscissas of the rule.
- ccgl_d2_o3x2_w.txt, the weights of the rule.
- ccgl_d2_o3x2_r.txt, defines the region for the rule.
- ccgl_d2_o3x2_exact.txt, the results of the exactness test, up to degree 5.