tetrahedron_integrals, a MATLAB code which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3D.
The interior of the unit tetrahedron in 3D is defined by
0 <= x 0 <= y 0 <= z x + y + z <= 1
The integrands are all of the form
f(x,y,z) = x^e1 * y^e2 * z^e3where the exponents are nonnegative integers.
The computer code and data files described and made available on this web page are distributed under the MIT license
tetrahedron_integrals is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
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