disk_grid, a Python code which generates a grid of points over the interior of a disk in 2D.
The code allows the user to define an arbitrary disk by choosing its radius and center. The user also chooses N, the number of subintervals into which the horizontal radius line will be subdivided. It then returns the gridpoints defined by that choice.
Another function allows the user to specify that N points on a Fibonacci spiral are to be placed within the disk.
The test program creates input files to GNUPLOT which will create graphic images of the grids.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
disk_grid is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
ball_grid, a python code which computes a grid of points over the interior of a ball in 3d.
circle_arc_grid, a python code which computes a grid of points along a circle or circular arc in 2d.
cube_grid, a python code which computes a grid of points over the interior of a cube in 3d.
disk_integrals, a python code which returns the exact value of the integral of any monomial over the interior of the unit disk in 2d.
disk_rule, a python code which computes quadrature rules over the interior of the unit disk in 2d.
ellipse_grid, a python code which computes a grid of points over the interior of an ellipse in 2d.
ellipsoid_grid, a python code which computes a grid of points over the interior of an ellipsoid in 3d.
hypercube_grid, a python code which computes a grid of points over the interior of a hypercube in m dimensions.
line_grid, a python code which computes a grid of points over the interior of a line segment in 1d.
polygon_grid, a python code which generates a grid of points over the interior of a polygon in 2d.
pyramid_grid, a python code which computes a grid of points over the interior of the unit pyramid in 3d;
simplex_grid, a python code which generates a regular grid of points over the interior of an arbitrary simplex in m dimensions.
sphere_fibonacci_grid, a python code which uses a fibonacci spiral to create a grid of points on the surface of the unit sphere in 3d.
sphere_llq_grid, a python code which uses longitudes and latitudes to create grids of points, lines, and quadrilaterals on the surface of the unit sphere in 3d.
sphere_llt_grid, a python code which uses longitudes and latitudes to create grids of points, lines, and triangles on the surface of the unit sphere in 3d.
square_grid, a python code which computes a grid of points over the interior of a square in 2d.
tetrahedron_grid, a python code which computes a grid of points over the interior of a tetrahedron in 3d.
triangle_grid, a python code which computes a grid of points over the interior of a triangle in 2d.
wedge_grid, a python code which computes a grid of points over the interior of the unit wedge in 3d.
The test for disk_grid_display creates a plot file:
The test for disk_grid_fibonacci creates a data file and a plot file:
The test for disk_grid_regular creates a data file and a plot file: