How to resolve the algorithm Shoelace formula for polygonal area step by step in the Elixir programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Shoelace formula for polygonal area step by step in the Elixir programming language
Table of Contents
Problem Statement
Given the n + 1 vertices x[0], y[0] .. x[N], y[N] of a simple polygon described in a clockwise direction, then the polygon's area can be calculated by: (Where abs returns the absolute value) Write a function/method/routine to use the the Shoelace formula to calculate the area of the polygon described by the ordered points:
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Step by Step solution about How to resolve the algorithm Shoelace formula for polygonal area step by step in the Elixir programming language
Source code in the elixir programming language
def shoelace(points) do
points
|> Enum.reduce({0, List.last(points)}, fn {x1, y1}, {sum, {x0, y0}} ->
{sum + (y0 * x1 - x0 * y1), {x1, y1}}
end)
|> elem(0)
|> div(2)
end
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