# line_grid

line_grid, a C++ code which generates a grid of points over the interior of a line segment in 1D.

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

```         A <= X <= B
```

The parameters are:

• 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. This is easiest to illustrate if we assume A = 0 and B = 1. Then, using 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.

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### Source Code:

Last revised on 25 March 2020.