wedge_integrals

wedge_integrals, a Python 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:

python_integrals, a Python code which returns the exact value of the integral of any monomial over the surface or interior of some geometric object, including a line, quadrilateral, box, circle, disk, sphere, ball and others.

wedge_grid, a Python code which computes a grid of points over the interior of the unit wedge in 3d.

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

Source Code:

• wedge_integrals.py, the source code.
• wedge_integrals.sh, runs all the tests.
• wedge_integrals.txt, the output file.