HYPERCUBE_GRID is a FORTRAN77 library which generates a grid of points over the interior of a hypercube in M dimensions.
The M-dimensional hypercube is the set of points (X(1),X(2),...,X(M)) such that:
A(I) <= X(I) <= B(I)
For each dimension I, a set of parameters is input:
The centering options allow the user to control the centering of the equally spaced points. This is easiest to illustrate if we look at a 1 dimensional case and assume A = 0 and B = 1. Then, using NS = 4, the centering options will produce 4 equally spaced points as follows:
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
HYPERCUBE_GRID is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version and a Python version.
BALL_GRID, a FORTRAN77 library which computes a grid of points over the interior of a ball in 3D.
CIRCLE_ARC_GRID, a FORTRAN77 program which computes a grid of points over the length of a circular arc in 2D;
CUBE_GRID, a FORTRAN77 library which computes a grid of points over the interior of a cube in 3D.
DISK_GRID, a FORTRAN77 library which computes a grid of points over the interior of a disk in 2D.
ELLIPSE_GRID, a FORTRAN77 library which computes a grid of points over the interior of an ellipse in 2D.
ELLIPSOID_GRID, a FORTRAN77 library which computes grid points over the interior of an ellipsoid in 3D.
HYPERCUBE_EXACTNESS, a FORTRAN77 program which measures the monomial exactness of an M-dimensional quadrature rule over the interior of the unit hypercube in M dimensions.
LINE_GRID, a FORTRAN77 library which computes a grid of points over the interior of a line segment in 1D.
PYRAMID_GRID, a FORTRAN77 library which computes a grid of points over the interior of the unit pyramid in 3D.
SIMPLEX_GRID, a FORTRAN77 library which generates a grid of points over the interior of a simplex in M dimensions.
SPHERE_GRID, a FORTRAN77 library which provides a number of ways of generating grids of points, or of points and lines, or of points and lines and faces, on the surface of the unit sphere in 3D.
SQUARE_GRID, a FORTRAN77 library which computes a grid of points over the interior of a square in 2D.
TETRAHEDRON_GRID, a FORTRAN77 library which computes a grid of points over the interior of a tetrahedron in 3D.
TRIANGLE_GRID, a FORTRAN77 library which computes a grid of points over the interior of a triangle in 2D.
WEDGE_GRID, a FORTRAN77 library which computes a grid of points over the interior of the unit wedge in 3D.
You can go up one level to the FORTRAN77 source codes.