findDistanceBetweenTwoPoints3D()

Step 1: Understand the Problem Statement

We need to find the distance between two points in a three-dimensional space. Each point has three coordinates (x, y, z). The mathematical formula to find the distance between two points (x1, y1, z1) and (x2, y2, z2) in a 3D space is:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Now let's implement this in Swift.

Step 2: Define the Points

First, let's define our points. We can represent a point as a tuple, where the first element is the x coordinate, the second element is the y coordinate, and the third element is the z coordinate.

let point1 = (x1: 1.0, y1: 2.0, z1: 3.0)
let point2 = (x2: 4.0, y2: 5.0, z2: 6.0)

Step 3: Calculate the Squared Differences

Next, we need to calculate the squared differences of the x, y and z coordinates. We do this by subtracting the coordinates of point1 from point2, squaring the result and storing each value in variables.

let diffX2 = pow((point2.x2 - point1.x1), 2)
let diffY2 = pow((point2.y2 - point1.y1), 2)
let diffZ2 = pow((point2.z2 - point1.z1), 2)

Step 4: Sum Up and Take the Square Root

We then sum up diffX2, diffY2 and diffZ2 and take the square root of the result. This is the distance between the two points.

let distance = sqrt(diffX2 + diffY2 + diffZ2)

Step 5: Full Code

Combine all the steps, the complete Swift code becomes:

let point1 = (x1: 1.0, y1: 2.0, z1: 3.0)
let point2 = (x2: 4.0, y2: 5.0, z2: 6.0)

let diffX2 = pow((point2.x2 - point1.x1), 2)
let diffY2 = pow((point2.y2 - point1.y1), 2)
let diffZ2 = pow((point2.z2 - point1.z1), 2)

let distance = sqrt(diffX2 + diffY2 + diffZ2)
print(distance)

Conclusion

That's the simple way to calculate the distance between two 3D points in Swift.