How to resolve the algorithm Shoelace formula for polygonal area step by step in the Arturo programming language

Published on 12 May 2024 09:40 PM
#Arturo

How to resolve the algorithm Shoelace formula for polygonal area step by step in the Arturo 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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Let's start with the solution:

Step by Step solution about How to resolve the algorithm Shoelace formula for polygonal area step by step in the Arturo programming language

Source code in the arturo programming language

define :point [x,y][]

shoelace: function [pts][
    [leftSum, rightSum]: 0

    loop 0..dec size pts 'i [
        j: (i + 1) % size pts
        'leftSum + pts\[i]\x * pts\[j]\y
        'rightSum + pts\[j]\x * pts\[i]\y
    ]
    return 0.5 * abs leftSum - rightSum
]

points: @[
    to :point [3.0, 4.0]
    to :point [5.0, 11.0]
    to :point [12.0, 8.0]
    to :point [9.0, 5.0]
    to :point [5.0, 6.0]
]

print shoelace points

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