{"id":34706,"date":"2024-11-01T09:31:05","date_gmt":"2024-11-01T09:31:05","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=34706"},"modified":"2024-11-01T11:26:54","modified_gmt":"2024-11-01T11:26:54","slug":"swift-coding-test-course-calculating-the-area-of-a-polygon","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/34706\/","title":{"rendered":"Swift Coding Test Course, Calculating the Area of a Polygon"},"content":{"rendered":"

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1. Problem Definition<\/h2>\n

In this session, we will handle the problem of calculating the area of a given polygon. When the vertices of the polygon are provided, we will implement an algorithm to calculate the area using them. The algorithm used for area calculation is based on the Strassen Algorithm<\/strong>.<\/p>\n

2. Problem Input<\/h2>\n

The function has the following shape:<\/p>\n

func polygonArea(vertices: [(Double, Double)]) -> Double<\/code><\/pre>\n
Here, vertices<\/code> is an array of tuples representing each vertex of the polygon. Each tuple contains the x and y coordinates.<\/p>\n
3. Algorithm Explanation<\/h2>\n
To calculate the area of the polygon, we will use the polygon area formula<\/strong>. This formula is as follows:<\/p>\n
Area = 0.5 * | \u03a3 (xi<\/sub> * yi+1<\/sub> - yi<\/sub> * xi+1<\/sub>) |<\/code><\/pre>\n
Here, i<\/code> represents the index from 0 to n-1<\/code>, and the last vertex connects to the first vertex. To code this formula, we will follow these steps:<\/p>\n
    \n
  1. Calculate the number of vertices n<\/code>.<\/li>\n
  2. Calculate the area contribution for each vertex.<\/li>\n
  3. Sum all contributions.<\/li>\n
  4. Convert the result to absolute value and multiply by 0.5.<\/li>\n<\/ol>\n
    4. Code Implementation<\/h2>\n
    Now, let’s implement the above algorithm in Swift. Here is the complete code:<\/p>\n
    func polygonArea(vertices: [(Double, Double)]) -> Double {\n    var area = 0.0\n    let n = vertices.count\n\n    for i in 0..<\/pre>\n
    4.1 Code Explanation<\/h3>\n
    The code above works as follows:<\/p>\n