tetrahedron01_monte_carlo, a Fortran77 code which uses the Monte Carlo method to estimate the integral of a function F(X,Y,Z) over the interior of the unit tetrahedron in 3D.
The interior of the unit tetrahedron in 3D is defined by the constraints:
0 <= X
0 <= Y
0 <= Z
X + Y + Z <= 1
The functions F(X,Y,Z) are monomials, having the form
F(X,Y,Z) = X^E(1) * Y^E(2) * Z^E(3)
where 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
tetrahedron01_monte_carlo 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.
tetrahedron01_monte_carlo_test
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circle_monte_carlo, a Fortran77 library which applies a Monte Carlo method to estimate the integral of a function on the circumference of the unit circle in 2D;
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SQUARE_MONTE_CARLO, a Fortran77 library which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit square in 2D.
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TETRAHEDRON_INTEGRALS, a Fortran77 library which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3D.
TETRAHEDRON_PROPERTIES, a Fortran77 program which computes properties of a tetrahedron in 3D, including the centroid, circumsphere, dihedral angles, edge lengths, face angles, face areas, insphere, quality, solid angles, and volume.
TRIANGLE_MONTE_CARLO, a Fortran77 library which uses the Monte Carlo method to estimate integrals over the interior of the unit triangle in 2D.
WEDGE_MONTE_CARLO, a Fortran77 library which uses the Monte Carlo method to estimate integrals over the interior of the unit wedge in 3D.