# NAME

Math::Polygon::Calc - Simple polygon calculations

# INHERITANCE

```
Math::Polygon::Calc
is a Exporter
```

# SYNOPSIS

```
my @poly = ( [1,2], [2,4], [5,7], [1, 2] );
my ($xmin, $ymin, $xmax, $ymax) = polygon_bbox @poly;
my $area = polygon_area @poly;
MY $L = polygon_perimeter @poly;
if(polygon_is_clockwise @poly) { ... };
my @rot = polygon_start_minxy @poly;
```

# DESCRIPTION

This package contains a wide variaty of relatively easy polygon calculations. More complex calculations are put in separate packages.

# FUNCTIONS

**polygon_area**(LIST-of-$points)-
Returns the area enclosed by the polygon. The last point of the list must be the same as the first to produce a correct result.

The algorithm was found at http://mathworld.wolfram.com/PolygonArea.html, and sounds:

`A = abs( 1/2 * (x1y2-x2y1 + x2y3-x3y2 ...)`

**polygon_bbox**(LIST-of-$points)-
Returns a list with four elements: (xmin, ymin, xmax, ymax), which describe the bounding box of the polygon (all points of the polygon are within that area.

**polygon_beautify**( [$options], LIST-of-$points )-
Polygons, certainly after some computations, can have a lot of horrible artifacts: points which are double, spikes, etc. This functions provided by this module beautify The optional HASH contains the $options:

`-Option --Default remove_between <false> remove_spikes <false>`

**polygon_centroid**(LIST-of-$points)-
Returns the centroid location of the polygon. The last point of the list must be the same as the first to produce a correct result.

The algorithm was found at

*http://en.wikipedia.org/wiki/Centroid#Centroid_of_polygon* **polygon_clockwise**(LIST-of-$points)-
Be sure the polygon points are in clockwise order.

**polygon_contains_point**($point, LIST-of-$points)-
Returns true if the point is inside the closed polygon. On an edge will be flagged as 'inside'. But be warned of rounding issues, caused by the floating-point calculations used by this algorithm.

**polygon_counter_clockwise**(LIST-of-$points)-
Be sure the polygon points are in counter-clockwise order.

**polygon_distance**($point, @polygon)-
[1.05] calculate the shortest distance between a point and any vertex of a closed polygon.

**polygon_equal**( ARRAY-of-$points, ARRAY-of-$points, [$tolerance] )-
Compare two polygons, on the level of points. When the polygons are the same but rotated, this will return false. See polygon_same().

**polygon_is_clockwise**(LIST-of-$points)**polygon_is_closed**($points)**polygon_perimeter**(LIST-of-$points)-
The length of the line of the polygon. This can also be used to compute the length of any line: of the last point is not equal to the first, then a line is presumed; for a polygon they must match.

This is simply Pythagoras.

`$l = sqrt((x1-x0)^2 + (y1-y0)^2) + sqrt((x2-x1)^2+(y2-y1)^2) + ...`

**polygon_same**( ARRAY-of-$points, ARRAY-of-$points, [$tolerance] )-
Compare two polygons, where the polygons may be rotated wrt each other. This is (much) slower than polygon_equal(), but some algorithms will cause un unpredictable rotation in the result.

**polygon_start_minxy**(LIST-of-$points)-
Returns the polygon, where the point which is closest to the left-bottom corner of the bounding box is made first.

**polygon_string**(LIST-of-$points)

# SEE ALSO

This module is part of Math-Polygon distribution version 1.05, built on December 28, 2016. Website: *http://perl.overmeer.net/geo/*

# LICENSE

Copyrights 2004,2006-2016 by [Mark Overmeer]. For other contributors see ChangeLog.

This program is free software; you can redistribute it and/or modify it under the same terms as Perl itself. See *http://www.perl.com/perl/misc/Artistic.html*