wedge_integrals

wedge_integrals, a C++ code which returns the exact value of the integral of any monomial x^i y^j z^k over the interior of the unit wedge in 3D.

The interior of the unit wedge in 3D is defined by the constraints:

        0 <= X
        0 <= Y
             X + Y <= 1
       -1 <= Z <= +1
      

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

wedge_integrals is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

wedge_integrals_test

cpp_integrals, a C++ code which returns the exact value of the integral of any monomial over a line, square, cube, a polygon, a circle, a disk, a sphere, a ball, a triangle, a tetrahedron, a simplex, and various other geometric regions.

wedge_exactness, a C++ code which investigates the monomial exactness of a quadrature rule over the interior of the unit wedge in 3D.

wedge_felippa_rule, a C++ code which returns quadratures rules for approximating integrals over the interior of the unit wedge in 3D.

wedge_grid, a C++ code which computes a grid of points over the interior of the unit wedge in 3D.

wedge_monte_carlo, a C++ code which uses the Monte Carlo method to estimate integrals over the interior of the unit wedge in 3D.

Source Code:

• wedge_integrals.cpp, the source code.
• wedge_integrals.sh, compiles the source code.
• wedge_integrals.hpp, the include file.