tetrahedron_integrals, a C++ 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^e3
where the exponents are nonnegative integers.
The information on this web page is 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 an Octave version and a Python version.
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.