SQUARE_GRID
Grid of Points Inside a Square in 2D

SQUARE_GRID is a Python library which generates a grid of points over the interior of a square in 2D.

The 2D "square" is actually the quadrilateral bounded by four vertices specified by the user in counter clockwise order. The user specifies the number of grid points to be used in the "X" and "Y" directions, and these values may be different.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

SQUARE_GRID is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

BALL_GRID, a Python library which computes a grid of points over the interior of a ball in 3D.

CIRCLE_ARC_GRID, a Python library which computes a grid of points along a circle or circular arc in 2D.

CUBE_GRID, a Python library which computes a grid of points over the interior of a cube in 3D.

DISK_GRID, a Python library which computes a grid of points over the interior of a disk in 2D.

ELLIPSE_GRID, a Python library which computes a grid of points over the interior of an ellipse in 2D.

ELLIPSOID_GRID, a Python library which computes grid points over the interior of an ellipsoid in 3D.

HYPERCUBE_GRID, a Python library which computes a grid of points over the interior of a hypercube in M dimensions.

LINE_GRID, a Python library which computes a grid of points over the interior of a line segment in 1D.

POLYGON_GRID, a Python library which generates a grid of points over the interior of a polygon in 2D.

PYRAMID_GRID, a Python library which computes a grid of points over the interior of the unit pyramid in 3D;

SIMPLEX_GRID, a Python library which generates a regular grid of points over the interior of an arbitrary simplex in M dimensions.

SPHERE_FIBONACCI_GRID, a Python library 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 library 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 library which uses longitudes and latitudes to create grids of points, lines, and triangles on the surface of the unit sphere in 3D.

SQUARE_INTEGRALS, a Python library which returns the exact value of the integral of any monomial over the interior of the unit square in 2D.

TETRAHEDRON_GRID, a Python library which computes a grid of points over the interior of a tetrahedron in 3D.

TRIANGLE_GRID, a Python library which computes a grid of points over the interior of a triangle in 2D.

WEDGE_GRID, a Python library which computes a grid of points over the interior of the unit wedge in 3D.

Source Code:

• r82col_print_part.py, prints part of an R82COL.
• r8mat_print.py, prints an R8MAT.
• r8mat_print_some.py, prints some of an R8MAT.
• r8mat_write.py, writes an R8MAT to a file.
• square_grid_count.py, counts grid points inside a square.
• square_grid_display.py, displays grid points inside a square.
• square_grid_points.py, computes points on a square grid.
• timestamp.py, prints the current YMDHMS date as a time stamp.

Examples and Tests:

• square_grid_test.py, calls all the tests.
• square_grid_test.sh, runs all the tests.
• square_grid_test.txt, the output file.
• square_grid_points.xy, a sample set of grid points written to a file.
• square_grid_points.png, a plot of a sample set of points.
• square_grid_display.png, a demonstration of the output of square_grid_display().

You can go up one level to the Python source codes.