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 computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

wedge_integrals is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

ball_integrals, a python code which returns the exact value of the integral of any monomial over the interior of the unit ball in 3d.

circle_integrals, a python code which returns the exact value of the integral of any monomial over the circumference of the unit circle in 2d.

cube_integrals, a python code which returns the exact value of the integral of any monomial over the interior of the unit cube in 3d.

disk01_integrals, a python code which returns the exact value of the integral of any monomial over the interior of the unit disk in 2d.

hyperball_integrals, a python code which returns the exact value of the integral of any monomial over the interior of the unit hyperball in m dimensions.

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hypersphere_integrals, a python code which returns the exact value of the integral of any monomial over the surface of the unit hypersphere in m dimensions.

line_integrals, a python code which returns the exact value of the integral of any monomial over the unit line segment in 1d.

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square_integrals, a python code which returns the exact value of the integral of any monomial over the interior of the unit square in 2d.

tetrahedron_integrals, a python code which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3d.

triangle_integrals, a python code which returns the exact value of the integral of any monomial over the interior of the unit triangle in 2d.

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.