tetrahedron_jaskowiec_rule, a C code which returns quadrature rules, with exactness up to total degree 20, over the interior of a tetrahedron in 3D, by Jan Jaskowiec, Natarajan Sukumar.
The quadrature rules are described in terms of barycentric coordinates (a,b,c,d), with weights w that sum to 1.
The information on this web page is distributed under the MIT license.
tetrahedron_jaskowiec_rule 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.
tetrahedron_jaskowiec_rule_test
c_rule, a C code which computes a quadrature rule which estimates the integral of a function f(x), which might be defined over a one dimensional region (a line) or more complex shapes such as a circle, a triangle, a quadrilateral, a polygon, or a higher dimensional region, and which might include an associated weight function w(x).
tetrahedron, a C code which carries out geometric calculations involving a general tetrahedron, including solid and facial angles, face areas, point containment, distances to a point, circumsphere and insphere, measures of shape quality, centroid, barycentric coordinates, edges and edge lengths, random sampling, and volumes.
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.
tetrahedron_monte_carlo, a C code which uses the Monte Carlo method to estimate the integral of a function over the interior of the unit tetrahedron in 3d.