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.
The information on this web page is distributed under the MIT license.
cpp_integrals is available in a C++ version.
ball_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of the unit ball in 3D.
circle_integrals, a C++ code which returns the exact value of the integral of any monomial over the surface of the unit circle in 2D.
cube_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of the unit cube in 3D.
disk01_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of the unit disk in 2D.
hyperball_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of the unit hyperball in M dimensions.
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.
hypersphere_integrals, a C++ code which returns the exact value of the integral of any monomial over the surface of the unit hypersphere in M dimensions.
line_integrals, a C++ code which returns the exact value of the integral of any monomial over the length of the unit line in 1D.
polygon_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of a polygon in 2D.
pyramid_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of the unit pyramid in 3D.
simplex_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of the unit simplex in M dimensions.
sphere_integrals, a C++ code which returns the exact value of the integral of any monomial over the surface of the unit sphere in 3D.
square_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of the unit square in 2D.
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.
triangle_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of a triangle in 2D.
triangle01_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of the unit triangle in 2D.
wedge_integrals, a C++ code which returns the exact value of the integral of any monomial over the interior of the unit wedge in 3D.