swift
Parameters: (start: Int, end: Int) -> Int
Start and end of range (both integers)
Returns: Returns the sum of squares of all numbers in the given range
A Swift function that takes as input a lower limit and an upper limit of a range, and calculates the sum of squares for all numbers within that range.
Hello there, Programmer! Ready for another enlightening journey through the path of coding? This time around, we're digging deep into Swift, the versatile language ideal for developing applications for iOS, macOS & beyond. So, fasten your seatbelt as we guide you step by step on how to program a function to find and sum the squares in a specific range. Believe it or not, it's going to be a cool ride. Let's get started!
First, let's start off by clearly defining our function. This function, which we'll call findSumOfSquaresInRange
, should take two arguments: start
and end
. These represent the start and the end of the range within which we want to find the sum of squares. In swift, this is how we can define our function:
func findSumOfSquaresInRange(start: Int, end: Int) {
// we'll fill this in the next steps
}
Inside our function, we'll first initialize a variable sum
to store our ongoing sum of squares. This should simply be set to 0 initially:
func findSumOfSquaresInRange(start: Int, end: Int) {
var sum = 0
// more to come...
}
Next, we'll add a for
loop that goes from start
to end
, inclusive. We use the half-open range operator ...
to include the end
in our range. In each iteration, we'll square the current number and add it to our sum
:
func findSumOfSquaresInRange(start: Int, end: Int) {
var sum = 0
for number in start...end {
sum += number * number
}
// let's finish this in the next step
}
Finally, after calculating the sum of squares, our function should return that value. We can do this by simply adding a return
statement at the end of our function. Also, we take care of the case where start is greater than end and return 0:
func findSumOfSquaresInRange(start: Int, end: Int) -> Int {
if start > end { return 0 }
var sum = 0
for number in start...end {
sum += number * number
}
return sum
}
And that's it! With that, our findSumOfSquaresInRange
function is complete. This function will return the sum of the squares of all numbers from start
to end
, inclusive. If start is greater than end, it returns 0.
Here's the final code:
func findSumOfSquaresInRange(start: Int, end: Int) -> Int {
if start > end { return 0 }
var sum = 0
for number in start...end {
sum += number * number
}
return sum
}
This is a basic implementation and assumes that the inputs are valid Integers where start
and end
are positive numbers. For a more robust solution, you could add checks to ensure valid input.
The function applies the mathematical principle of summation and squares. In a given range from `n` to `m`, for each `i` number in the range, it calculates `i^2` and then sums all values.
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