Merge pull request #24 from CodaFi/swift-1-dot-2

[WIP] Swift 1.2

Basis-iOS.xcodeproj/project.pbxproj

@@ -44,7 +44,6 @@
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@@ -145,7 +143,6 @@
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@@ -189,7 +186,6 @@
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@@ -302,7 +298,6 @@
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 				84922CB419D237DA00AE9A7C /* BASERealWorld.m */,
-				84922CB519D237DA00AE9A7C /* Basis-ObjCBridge.h */,
 				84922CC719D237DA00AE9A7C /* Info.plist */,
 			);
 			name = "Supporting Files";
@@ -384,7 +379,6 @@
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 				84922CD419D237DA00AE9A7C /* Monoid.swift */,
 				84922EB219D386BD00AE9A7C /* Result.swift */,
-				84F43F0419E1CA970012CF95 /* Set.swift */,
 				84D77DF71A3BE57B000F5683 /* Pointed */,
 				84922CD919D237DA00AE9A7C /* ST.swift */,
 				84922CDA19D237DA00AE9A7C /* STRef.swift */,
@@ -432,7 +426,6 @@
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-				84922CE719D237DA00AE9A7C /* Basis-ObjCBridge.h in Headers */,
 				84922CE519D237DA00AE9A7C /* BASERealWorld.h in Headers */,
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@@ -574,7 +567,6 @@
 				84922D0119D237DA00AE9A7C /* Map.swift in Sources */,
 				84D4D8E81A16EBAF001F5E4D /* Comonad.swift in Sources */,
 				84922D1219D237DA00AE9A7C /* Tuple.swift in Sources */,
-				84F43F0519E1CA970012CF95 /* Set.swift in Sources */,
 				84922CE619D237DA00AE9A7C /* BASERealWorld.m in Sources */,
 				84922CFC19D237DA00AE9A7C /* Kinds.swift in Sources */,
 				84922CF319D237DA00AE9A7C /* Exit.swift in Sources */,
@@ -723,6 +715,7 @@
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 				PRODUCT_NAME = "$(TARGET_NAME)";
 				SKIP_INSTALL = YES;
+				SWIFT_INSTALL_OBJC_HEADER = NO;
 				SWIFT_OBJC_BRIDGING_HEADER = "";
 				SWIFT_OPTIMIZATION_LEVEL = "-Onone";
 			};
@@ -741,6 +734,7 @@
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 				PRODUCT_NAME = "$(TARGET_NAME)";
 				SKIP_INSTALL = YES;
+				SWIFT_INSTALL_OBJC_HEADER = NO;
 				SWIFT_OBJC_BRIDGING_HEADER = "";
 			};
 			name = Release;

Basis.xcodeproj/project.pbxproj

@@ -42,7 +42,6 @@
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@@ -153,7 +152,6 @@
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@@ -281,7 +279,6 @@
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 				84922D1819D237E000AE9A7C /* BASERealWorld.m */,
-				84922D1919D237E000AE9A7C /* Basis-ObjCBridge.h */,
 				84922D2B19D237E000AE9A7C /* Info.plist */,
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 			name = "Supporting Files";
@@ -332,7 +329,6 @@
 				84922D3819D237E000AE9A7C /* Monoid.swift */,
 				84922EB019D3869B00AE9A7C /* Result.swift */,
 				84D77DF41A3BDCBA000F5683 /* Pointed */,
-				842963B119DF7A3A003FCBE8 /* Set.swift */,
 				84922D3D19D237E000AE9A7C /* ST.swift */,
 				842A315D1A9982FD00039306 /* State.swift */,
 				84922D3E19D237E000AE9A7C /* STRef.swift */,
@@ -447,7 +443,6 @@
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@@ -591,7 +586,6 @@
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 				84922D5A19D237E000AE9A7C /* Function.swift in Sources */,
 				84922D6519D237E000AE9A7C /* Map.swift in Sources */,
-				842963B219DF7A3A003FCBE8 /* Set.swift in Sources */,
 				84922D7619D237E000AE9A7C /* Tuple.swift in Sources */,
 				84922D4A19D237E000AE9A7C /* BASERealWorld.m in Sources */,
 				84922D6019D237E000AE9A7C /* Kinds.swift in Sources */,
@@ -747,7 +741,9 @@
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 				PRODUCT_NAME = "$(TARGET_NAME)";
 				SKIP_INSTALL = YES;
+				SWIFT_INSTALL_OBJC_HEADER = NO;
 				SWIFT_OBJC_BRIDGING_HEADER = "";
+				SWIFT_OBJC_INTERFACE_HEADER_NAME = "Basis-Swift.h";
 				SWIFT_OPTIMIZATION_LEVEL = "-Onone";
 			};
 			name = Debug;
@@ -767,7 +763,9 @@
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 				PRODUCT_NAME = "$(TARGET_NAME)";
 				SKIP_INSTALL = YES;
+				SWIFT_INSTALL_OBJC_HEADER = NO;
 				SWIFT_OBJC_BRIDGING_HEADER = "";
+				SWIFT_OBJC_INTERFACE_HEADER_NAME = "Basis-Swift.h";
 			};
 			name = Release;
 		};

Basis/Applicative.swift

@@ -7,16 +7,17 @@
 //  Released under the MIT license.
 //
 
-/// Applicative sits in the middle distance between a Functor and a Monad.  An Applicative Functor
-/// is a Functor equipped with a function (called point or lift) that takes a value to an instance
-/// of a functor containing that value. Applicative Functors provide the ability to operate on not
-/// just values, but values in a functorial context such as Eithers, Lists, and Optionals without
-/// needing to unwrap or map over their contents.
+/// Applicative sits in the middle distance between a Functor and a Monad.  
+///
+/// Applicative Functors, as the name implies, allow for the application of functions inside of
+/// Functors.  In this way Applicative Functors provide the  ability to operate on not just values, 
+/// but values in a functorial context such as Eithers, Lists, and Optionals without needing to 
+/// unwrap or map over their contents.
 public protocol Applicative : Pointed, Functor {
 	/// Type of Functors containing morphisms from our objects to a target.
 	typealias FAB = K1<A -> B>
 
-	class func ap(FAB) -> Self -> FB
+	static func ap(FAB) -> Self -> FB
 
 	/// Sequential Application | Applies the function "inside the Functor" to the "inside" of our 
 	/// Functor and herds up the results.
@@ -26,21 +27,24 @@ public protocol Applicative : Pointed, Functor {
 	/// the right.
 	///
 	/// Default definition: 
-	///		`const(id) <%> a <*> b`
+	///
+	///		const(id) <%> a <*> b
 	func *>(Self, FB) -> FB
 
 	/// Sequence Left | Disregards the Functor on the Right.
 	///
 	/// Default definition: 
-	///		`const <%> a <*> b`
+	///
+	///		const <%> a <*> b
 	func <*(Self, FB) -> Self
 }
 
 /// Alternatives are Applicative Monoids.
 public protocol Alternative : Applicative {
 	/// The type of the result of Alternative's mappend-esque functions.
 	typealias FLA = K1<[A]>
-
+	typealias FMA = K1<Maybe<A>>
+
 	/// Returns the identity element.
 	func empty() -> Self
 
@@ -62,6 +66,13 @@ public protocol Alternative : Applicative {
 	///
 	///		some(v) <|> pure([])
 	func many(Self) -> FLA
+
+	/// One or none
+	///
+	/// Default definition:
+	///
+	///		`Maybe.just <%> v <|> pure(Maybe.nothing())`
+	func optional(Self) -> FMA
 }
 
 /// Additional functions to be implemented by those types conforming to the Applicative protocol.
@@ -72,11 +83,11 @@ public protocol ApplicativeOps : Applicative {
 	typealias FD = K1<D>
 
 	/// Lift a function to a Functorial action.
-	class func liftA(f : A -> B) -> Self -> FB
+	static func liftA(f : A -> B) -> Self -> FB
 
 	/// Lift a binary function to a Functorial action.
-	class func liftA2(f : A -> B -> C) -> Self -> FB -> FC
+	static func liftA2(f : A -> B -> C) -> Self -> FB -> FC
 
 	/// Lift a ternary function to a Functorial action.
-	class func liftA3(f : A -> B -> C -> D) -> Self -> FB -> FC -> FD
+	static func liftA3(f : A -> B -> C -> D) -> Self -> FB -> FC -> FD
 }

Basis/Arrow.swift

@@ -66,7 +66,7 @@ public protocol Arrow : Category {
 	typealias FANOUT = K2<B, (B, D)>
 
 	/// Lift a function to an arrow.
-	class func arr(A -> B) -> Self
+	static func arr(A -> B) -> Self
 
 	/// Splits the arrow into two tuples that model a computation that applies our Arrow to an
 	/// argument on the "left side" and sends the "right side" through unchanged.
@@ -96,7 +96,7 @@ public protocol ArrowZero : Arrow {
 	typealias ABC = K2<A, B>
 
 	/// The identity arrow.
-	class func zeroArrow() -> ABC
+	static func zeroArrow() -> ABC
 }
 
 /// A monoid for Arrows.
@@ -147,10 +147,10 @@ public protocol ArrowChoice : Arrow {
 
 	/// Feed marked inputs through the argument arrow, passing the rest through unchanged to the 
 	/// output.
-	class func left(Self) -> LEFT
+	static func left(Self) -> LEFT
 
 	/// The mirror image of left.
-	class func right(Self) -> RIGHT
+	static func right(Self) -> RIGHT
 
 	/// Splat | Split the input between both argument arrows, then retag and merge their outputs 
 	/// into Eithers.
@@ -167,11 +167,11 @@ public protocol ArrowChoice : Arrow {
 ///                          \
 ///                           o - a - [ f ] -> b
 ///                          /
-///          a -------> a - •
+///          a ------------ •
 ///
 public protocol ArrowApply : Arrow {
 	typealias APP = K2<(Self, A), B>
-	class func app() -> APP
+	static func app() -> APP
 }
 
 /// Arrows that admit right-tightening recursion.
@@ -188,5 +188,5 @@ public protocol ArrowApply : Arrow {
 public protocol ArrowLoop : Arrow {
 	typealias LOOP = K2<(A, D), (B, D)>
 
-	class func loop(LOOP) -> Self
+	static func loop(LOOP) -> Self
 }

Basis/Bottom.swift

@@ -7,5 +7,12 @@
 //  Released under the MIT license.
 //
 
-/// The type from which no information may be drawn.
+/// The type from which no information may be drawn and no instances may be made.  Bottom (also 
+/// notated ⊥) is the type of all computations that never complete successfully and is inhabited by
+/// infinite loops and fatal errors.
 public enum Bottom { }
+
+/// Computes ⊥.
+public func absurd() -> Bottom {
+	return absurd()
+}

Basis/Bounded.swift

@@ -10,10 +10,10 @@
 /// Bounded types are types that have definable upper and lower limits.  For types like the Int and
 /// Float, their limits are the minimum and maximum possible values representable in their bit-
 /// width.  While the definition of a "limit" is flexible, generally custom types that wish to
-/// appear bounded must come with some kind of supremum or infimum.
+/// appear bounded must come with some kind of supremum and infimum.
 public protocol Bounded {
-	class func minBound() -> Self
-	class func maxBound() -> Self
+	static func minBound() -> Self
+	static func maxBound() -> Self
 }
 
 extension Bool : Bounded {

Basis/Category.swift

@@ -11,10 +11,9 @@
 /// between those objects.  Each object includes an identity morphism, and composition of morphisms
 /// is the primary reason categories are such powerful abstractions.
 ///
-/// Here, a Category is some class of Kind * -> * -> * that you can think of as modelling an "arrow"
-/// from A -> B.  This means that if we provide a composition function, `•`, we can hook up 
-/// Categories from A -> B with Categories from B -> C and get Categories from A -> C.  This
-/// function is also called >>>.
+/// Here, a Category is some class of Kind `* -> * -> *` that you can think of as modelling an "arrow"
+/// A -> B.  This means that if we provide a composition function, `•`, we can hook up  Categories 
+/// from A -> B with Categories from B -> C and get Categories from A -> C.
 public protocol Category {
 	/// Source
 	typealias A
@@ -31,7 +30,7 @@ public protocol Category {
 	typealias CAC = K2<A, C>
 
 	/// The identity morphism.
-	class func id() -> CAA
+	static func id() -> CAA
 
 	/// Composition of categories.
 	///

Basis/Coerce.swift

@@ -10,7 +10,7 @@
 /// The highly unsafe primitive unsafeCoerce converts a value from any type to any other type. 
 /// Needless to say, if you use this function, it is your responsibility to ensure that the old and
 /// new types have identical internal representations, in order to prevent runtime corruption.
-/// ~http://hackage.haskell.org/package/base-4.7.0.1/docs/Unsafe-Coerce.html
+/// ~( http://hackage.haskell.org/package/base-4.7.0.1/docs/Unsafe-Coerce.html )
 public func unsafeCoerce<A, B>(x : A) -> B {
 	return unsafeBitCast(x, B.self)
 }