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# Swift Half-Open Range

The `..<` operator is the half-open range operator in Swift. It constructs a mathematical range that includes its lower bound but strictly excludes its upper bound.

## Syntax Forms

The operator functions in two distinct arities: binary (two-sided) and prefix (one-sided).

```swift theme={"dark"}
// Binary (Two-sided)
let lowerBound = 0
let upperBound = 5
let twoSidedRange = lowerBound..<upperBound

// Prefix (One-sided)
let oneSidedRange = ..<upperBound
```

## Type Signatures and Protocols

The types generated by the `..<` operator depend on its arity. The generic `Bound` type provided to the operator must conform to the `Comparable` protocol.

* **Binary Form:** Evaluates to a `Range<Bound>` structure. It requires both a lower and an upper bound.
* **Prefix Form:** Evaluates to a `PartialRangeUpTo<Bound>` structure. It requires only an upper bound, implicitly extending infinitely downward.

## Evaluation Rules

1. **Bound Relationship:** For the binary form, the `lowerBound` must be less than or equal to the `upperBound` (`lowerBound <= upperBound`). A runtime crash occurs if the lower bound exceeds the upper bound.
2. **Empty Ranges:** If `lowerBound` is exactly equal to `upperBound`, the resulting `Range` is empty.
3. **Exclusivity:** The `upperBound` is never a member of the resulting range. Evaluating `range.contains(upperBound)` will always return `false`.
4. **Postfix Restriction:** Unlike the closed range operator (`...`), the half-open range operator (`..<`) cannot be used as a postfix operator. Swift does not support a half-open `PartialRangeFrom` because a range extending infinitely upward has no defined upper bound to exclude.

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