# LINE_GRID Grid of Points Inside a Line Segment in 1D

LINE_GRID, a FORTRAN90 code which generates a grid of points over the interior of a line segment in 1D.

The 1D square is the set of points X such that:

A <= X <= B

for given endpoints A and B.

For the grid, a set of parameters is input:

• N, the number of points;
• A, B, the left and right endpoints.
• C, one of 5 choices for centering the grid.

The centering options allow the user to control the centering of the equally spaced points. Using, for example, N = 4, the centering options will produce 4 equally spaced points as follows:

• 1: 0, 1/3, 2/3, 1 (include endpoints)
• 2: 1/5, 2/5, 3/5, 4/5 (do not include endpoints)
• 3: 0, 1/4, 2/4, 3/4 (do not include right endpoint)
• 4: 1/4, 2/4, 3/4, 1 (do not include left endpoint)
• 5: 1/8, 3/8, 5/8, 7/8 (half spacing at the ends)

### Languages:

LINE_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 FORTRAN90 code which computes a grid of points over the interior of a ball in 3D.

CIRCLE_ARC_GRID, a FORTRAN90 code which computes a grid of points over the length of a circular arc in 2D;

CUBE_GRID, a FORTRAN90 code which computes a grid of points over the interior of a cube in 3D.

DISK_GRID, a FORTRAN90 code which computes a grid of points over the interior of a disk in 2D.

ELLIPSE_GRID, a FORTRAN90 code which computes a grid of points over the interior of an ellipse in 2D.

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HYPERCUBE_GRID, a FORTRAN90 code which computes a grid of points over the interior of a hypercube in M dimensions.

POLYGON_GRID, a FORTRAN90 code which generates a grid of points over the interior of a polygon in 2D.

PYRAMID_GRID, a FORTRAN90 code which computes a grid of points over the interior of the unit pyramid in 3D.

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SPHERE_LLQ_GRID, a FORTRAN90 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 FORTRAN90 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 FORTRAN90 code which computes a grid of points over the interior of a square in 2D.

TETRAHEDRON_GRID, a FORTRAN90 code which computes a grid of points over the interior of a tetrahedron in 3D.

TRIANGLE_GRID, a FORTRAN90 code which computes a grid of points over the interior of a triangle in 2D.

WEDGE_GRID, a FORTRAN90 code which computes a grid of points over the interior of the unit wedge in 3D.

### Source Code:

Last revised on 27 July 2020.