wedge_integrals, a FORTRAN77 code which returns the exact value of the integral of any monomial x^i y^j z^k over the interior of the unit wedge in 3D.
The interior of the unit wedge in 3D is defined by the constraints:
0 <= X
0 <= Y
X + Y <= 1
-1 <= Z <= +1
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
wedge_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.
ball_integrals, a FORTRAN77 library which returns the exact value of the integral of any monomial over the interior of the unit ball in 3D.
circle_integrals, a FORTRAN77library which returns the exact value of the integral of any monomial over the circumference of the unit circle in 2D.
CUBE_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the interior of the unit cube in 3D.
DISK_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the interior of the unit disk in 2D.
HYPERBALL_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the interior of the unit hyperball in M dimensions.
HYPERCUBE_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the interior of the unit hypercube in M dimensions.
HYPERSPHERE_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the surface of the unit hypersphere in M dimensions.
LINE_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the unit line segment in 1D.
POLYGON_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the interior of a polygon in 2D.
PYRAMID_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the interior of the unit pyramid in 3D.
SIMPLEX_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the interior of the unit simplex in M dimensions.
SPHERE_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the surface of the unit sphere in 3D.
SQUARE_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the interior of the unit square in 2D.
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.
TRIANGLE_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the interior of the unit triangle in 2D.
WEDGE_EXACTNESS, a FORTRAN77 program which investigates the monomial exactness of a quadrature rule over the interior of the unit wedge in 3D.
WEDGE_FELIPPA_RULE, a FORTRAN77 library which returns quadratures rules for approximating integrals over the interior of the unit wedge in 3D.
WEDGE_GRID, a FORTRAN77 library which computes a grid of points over the interior of the unit wedge in 3D.
WEDGE_MONTE_CARLO, a FORTRAN77 library which uses the Monte Carlo method to estimate integrals over the interior of the unit wedge in 3D.