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## 2d-density

# 2d density

An algorithm than can be used to find the maximum number of cells that can fit into a grid with a predefined spacing. In other words two-dimensional density.

## Build Status

## Install

```
npm install 2d-density
```

## Usage

```
const twoDDensity = require('2d-density');
const gridWidth = 100;
const gridHeight = 100;
const spacing = 3;
const result = twoDDensity.findPercentFull(gridWidth, gridHeight, spacing);
```

Width, height and spacing should all be whole numbers.

Spacing does not count diagonals. Thus a cell that is diagonally adjacent is really spaced 2 cells away.

## Sample output

```
{
count: 2000,
percent: 0.2
}
```

## Visual example

Say you have a grid with a width of 5 and a height of 4 and you want to fill cells that are 2 away from each other. You might end up with something like this:

x | x | x | ||
---|---|---|---|---|

x | x | |||

x | x | x | ||

x | x |

The count would be 10 and percentage full would be 0.5. This would be pretty easy to calculate for spacing of 2 but things get more complex when using spacings with odd numbers.

For example a 5 by 5 grid with spacing of 3.

x | x | |||
---|---|---|---|---|

x | ||||

x | x | |||

The count is only 5 and the percentage would be 0.2.