Add ends(with:)

Guides/EndsWith.md

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+# EndsWith
+
+[[Source](https://github.com/apple/swift-algorithms/blob/main/Sources/Algorithms/EndsWith.swift) |
+ [Tests](https://github.com/apple/swift-algorithms/blob/main/Tests/SwiftAlgorithmsTests/EndsWithTests.swift)]
+
+This function checks whether the final elements of the one collection are the same as the elements in another collection.
+```
+
+## Detailed Design
+
+The `ends(with:)` and `ends(with:by:)` functions are added as methods on an extension of 
+`BidirectionalCollection`.
+
+```swift
+extension BidirectionalCollection {
+    public func ends<PossibleSuffix: BidirectionalCollection>(
+        with possibleSuffix: PossibleSuffix
+    ) -> Bool where PossibleSuffix.Element == Element
+    
+    public func ends<PossibleSuffix: BidirectionalCollection>(
+        with possibleSuffix: PossibleSuffix,
+        by areEquivalent: (Element, PossibleSuffix.Element) throws -> Bool
+    ) rethrows -> Bool
+}
+```
+
+This method requires `BidirectionalCollection` for being able to traverse back from the end of the collection. It also requires the `possibleSuffix` to be `BidirectionalCollection`, because it too needs to be traverse backwards, to compare its elements against `self` from back to front.
+
+### Complexity
+
+O(*m*), where *m* is the lesser of the length of the collection and the length of `possibleSuffix`.
+
+### Naming
+
+The function's name resembles that of an existing Swift function 
+`starts(with:)`, which performs same operation however in the forward direction 
+of the collection.

Sources/Algorithms/EndsWith.swift

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+//===----------------------------------------------------------------------===//
+//
+// This source file is part of the Swift Algorithms open source project
+//
+// Copyright (c) 2021 Apple Inc. and the Swift project authors
+// Licensed under Apache License v2.0 with Runtime Library Exception
+//
+// See https://swift.org/LICENSE.txt for license information
+//
+//===----------------------------------------------------------------------===//
+
+//===----------------------------------------------------------------------===//
+// EndsWith
+//===----------------------------------------------------------------------===//
+
+extension BidirectionalCollection where Element: Equatable {
+
+
+  /// Returns a Boolean value indicating whether the final elements of the
+  /// collection are the same as the elements in another collection.
+  ///
+  /// This example tests whether one countable range ends with the elements
+  /// of another countable range.
+  ///
+  ///     let a = 8...10
+  ///     let b = 1...10
+  ///
+  ///     print(b.ends(with: a))
+  ///     // Prints "true"
+  ///
+  /// Passing a collection with no elements or an empty collection as
+  /// `possibleSuffix` always results in `true`.
+  ///
+  ///     print(b.ends(with: []))
+  ///     // Prints "true"
+  ///
+  /// - Parameter possibleSuffix: A collection to compare to this collection.
+  /// - Returns: `true` if the initial elements of the collection are the same as
+  ///   the elements of `possibleSuffix`; otherwise, `false`. If
+  ///   `possibleSuffix` has no elements, the return value is `true`.
+  ///
+  /// - Complexity: O(*m*), where *m* is the lesser of the length of the
+  ///   collection and the length of `possibleSuffix`.
+  @inlinable
+  public func ends<PossibleSuffix: BidirectionalCollection>(
+    with possibleSuffix: PossibleSuffix
+  ) -> Bool where PossibleSuffix.Element == Element {
+    return self.ends(with: possibleSuffix, by: ==)
+  }
+
+  /// Returns a Boolean value indicating whether the final elements of the
+  /// collection are equivalent to the elements in another collection, using
+  /// the given predicate as the equivalence test.
+  ///
+  /// The predicate must be a *equivalence relation* over the elements. That
+  /// is, for any elements `a`, `b`, and `c`, the following conditions must
+  /// hold:
+  ///
+  /// - `areEquivalent(a, a)` is always `true`. (Reflexivity)
+  /// - `areEquivalent(a, b)` implies `areEquivalent(b, a)`. (Symmetry)
+  /// - If `areEquivalent(a, b)` and `areEquivalent(b, c)` are both `true`, then
+  ///   `areEquivalent(a, c)` is also `true`. (Transitivity)
+  ///
+  /// - Parameters:
+  ///   - possibleSuffix: A collection to compare to this collection.
+  ///   - areEquivalent: A predicate that returns `true` if its two arguments
+  ///     are equivalent; otherwise, `false`.
+  /// - Returns: `true` if the initial elements of the collection are equivalent
+  ///   to the elements of `possibleSuffix`; otherwise, `false`. If
+  ///   `possibleSuffix` has no elements, the return value is `true`.
+  ///
+  /// - Complexity: O(*m*), where *m* is the lesser of the length of the
+  ///   collection and the length of `possibleSuffix`.
+  @inlinable
+  public func ends<PossibleSuffix: BidirectionalCollection>(
+    with possibleSuffix: PossibleSuffix,
+    by areEquivalent: (Element, PossibleSuffix.Element) throws -> Bool
+  ) rethrows -> Bool {
+    try self.reversed().starts(with: possibleSuffix.reversed(), by: areEquivalent)
+  }
+}
+

Tests/SwiftAlgorithmsTests/EndsWithTests.swift

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+//===----------------------------------------------------------------------===//
+//
+// This source file is part of the Swift Algorithms open source project
+//
+// Copyright (c) 2021 Apple Inc. and the Swift project authors
+// Licensed under Apache License v2.0 with Runtime Library Exception
+//
+// See https://swift.org/LICENSE.txt for license information
+//
+//===----------------------------------------------------------------------===//
+
+import XCTest
+import Algorithms
+
+final class EndsWithTests: XCTestCase {
+  func testEndsWithCorrectSuffix() {
+    let a = 8...10
+    let b = 1...10
+
+    XCTAssertTrue(b.ends(with: a))
+  }
+
+  func testDoesntEndWithWrongSuffix() {
+    let a = 8...9
+    let b = 1...10
+
+    XCTAssertFalse(b.ends(with: a))
+  }
+
+  func testDoesntEndWithTooLongSuffix() {
+    XCTAssertFalse((2...5).ends(with: (1...10)))
+  }
+
+  func testEndsWithEmpty() {
+    let a = 8...10
+    let empty = [Int]()
+    XCTAssertTrue(a.ends(with: empty))
+  }
+
+  func testEmptyEndsWithEmpty() {
+    let empty = [Int]()
+    XCTAssertTrue(empty.ends(with: empty))
+  }
+
+  func testEmptyDoesNotEndWithNonempty() {
+    XCTAssertFalse([].ends(with: 1...10))
+  }
+}