hypercube_integrals


hypercube_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of the unit hypercube in M dimensions.

The interior of the unit hypercube in M dimensions is defined by

        0 <= X(1:M) <= 1.
      

The integrands are all of the form

        F(X) = product ( 1 <= I <= M ) X(I)^E(I)
      
where the exponents are nonnegative integers.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

hypercube_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.

Related Data and Programs:

hypercube_integrals_test

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.

hypercube_grid, a C++ code which computes a grid of points over the interior of a hypercube in M dimensions.

Source Code:


Last revised on 18 March 2020.