Probably not something you want...

.swiftpm/configuration/swift-big-rational.xctestplan

@@ -0,0 +1,32 @@
+{
+  "configurations" : [
+    {
+      "id" : "4C629411-DD95-4E44-BA54-03D8A93114DE",
+      "name" : "Test Scheme Action",
+      "options" : {
+
+      }
+    }
+  ],
+  "defaultOptions" : {
+    "codeCoverage" : {
+      "targets" : [
+        {
+          "containerPath" : "container:",
+          "identifier" : "BigRationalModule",
+          "name" : "BigRationalModule"
+        }
+      ]
+    }
+  },
+  "testTargets" : [
+    {
+      "target" : {
+        "containerPath" : "container:",
+        "identifier" : "BigRationalModuleTests",
+        "name" : "BigRationalModuleTests"
+      }
+    }
+  ],
+  "version" : 2
+}

.swiftpm/xcode/xcshareddata/xcschemes/swift-rational-Package.xcscheme → .swiftpm/xcode/xcshareddata/xcschemes/swift-big-rational-Package.xcscheme

@@ -14,9 +14,9 @@
             buildForAnalyzing = "YES">
             <BuildableReference
                BuildableIdentifier = "primary"
-               BlueprintIdentifier = "swift-rational"
-               BuildableName = "swift-rational"
-               BlueprintName = "swift-rational"
+               BlueprintIdentifier = "swift-big-rational"
+               BuildableName = "swift-big-rational"
+               BlueprintName = "swift-big-rational"
                ReferencedContainer = "container:">
             </BuildableReference>
          </BuildActionEntry>
@@ -49,9 +49,9 @@
       <MacroExpansion>
          <BuildableReference
             BuildableIdentifier = "primary"
-            BlueprintIdentifier = "swift-rational"
-            BuildableName = "swift-rational"
-            BlueprintName = "swift-rational"
+            BlueprintIdentifier = "swift-big-rational"
+            BuildableName = "swift-big-rational"
+            BlueprintName = "swift-big-rational"
             ReferencedContainer = "container:">
          </BuildableReference>
       </MacroExpansion>

.swiftpm/xcode/xcshareddata/xcschemes/swift-rational.xcscheme → .swiftpm/xcode/xcshareddata/xcschemes/swift-big-rational.xcscheme

@@ -14,23 +14,23 @@
             buildForAnalyzing = "YES">
             <BuildableReference
                BuildableIdentifier = "primary"
-               BlueprintIdentifier = "RationalModule"
-               BuildableName = "RationalModule"
-               BlueprintName = "RationalModule"
+               BlueprintIdentifier = "BigRationalModule"
+               BuildableName = "BigRationalModule"
+               BlueprintName = "BigRationalModule"
                ReferencedContainer = "container:">
             </BuildableReference>
          </BuildActionEntry>
          <BuildActionEntry
             buildForTesting = "YES"
-            buildForRunning = "YES"
+            buildForRunning = "NO"
             buildForProfiling = "NO"
             buildForArchiving = "NO"
             buildForAnalyzing = "YES">
             <BuildableReference
                BuildableIdentifier = "primary"
-               BlueprintIdentifier = "RationalModuleTests"
-               BuildableName = "RationalModuleTests"
-               BlueprintName = "RationalModuleTests"
+               BlueprintIdentifier = "BigRationalModuleTests"
+               BuildableName = "BigRationalModuleTests"
+               BlueprintName = "BigRationalModuleTests"
                ReferencedContainer = "container:">
             </BuildableReference>
          </BuildActionEntry>
@@ -40,16 +40,21 @@
       buildConfiguration = "Debug"
       selectedDebuggerIdentifier = "Xcode.DebuggerFoundation.Debugger.LLDB"
       selectedLauncherIdentifier = "Xcode.DebuggerFoundation.Launcher.LLDB"
-      shouldUseLaunchSchemeArgsEnv = "YES"
-      shouldAutocreateTestPlan = "YES">
+      shouldUseLaunchSchemeArgsEnv = "YES">
+      <TestPlans>
+         <TestPlanReference
+            reference = "container:.swiftpm/configuration/swift-big-rational.xctestplan"
+            default = "YES">
+         </TestPlanReference>
+      </TestPlans>
       <Testables>
          <TestableReference
             skipped = "NO">
             <BuildableReference
                BuildableIdentifier = "primary"
-               BlueprintIdentifier = "RationalModuleTests"
-               BuildableName = "RationalModuleTests"
-               BlueprintName = "RationalModuleTests"
+               BlueprintIdentifier = "BigRationalModuleTests"
+               BuildableName = "BigRationalModuleTests"
+               BlueprintName = "BigRationalModuleTests"
                ReferencedContainer = "container:">
             </BuildableReference>
          </TestableReference>
@@ -77,9 +82,9 @@
       <MacroExpansion>
          <BuildableReference
             BuildableIdentifier = "primary"
-            BlueprintIdentifier = "RationalModule"
-            BuildableName = "RationalModule"
-            BlueprintName = "RationalModule"
+            BlueprintIdentifier = "BigRationalModule"
+            BuildableName = "BigRationalModule"
+            BlueprintName = "BigRationalModule"
             ReferencedContainer = "container:">
          </BuildableReference>
       </MacroExpansion>

Package.resolved

@@ -1,39 +1,13 @@
 {
+  "originHash" : "cd8d19bdb55976b9db20cb762f0b11fdde3c2f56978daafed6e9cb8906ee5b5b",
   "pins" : [
     {
-      "identity" : "swift-argument-parser",
+      "identity" : "bigint",
       "kind" : "remoteSourceControl",
-      "location" : "https://github.com/apple/swift-argument-parser.git",
+      "location" : "https://github.com/mredig/BigInt.git",
       "state" : {
-        "revision" : "c8ed701b513cf5177118a175d85fbbbcd707ab41",
-        "version" : "1.3.0"
-      }
-    },
-    {
-      "identity" : "swift-cmark",
-      "kind" : "remoteSourceControl",
-      "location" : "https://github.com/apple/swift-cmark.git",
-      "state" : {
-        "revision" : "f218e5d7691f78b55bfa39b367763f4612486c35",
-        "version" : "0.3.0"
-      }
-    },
-    {
-      "identity" : "swift-format",
-      "kind" : "remoteSourceControl",
-      "location" : "https://github.com/apple/swift-format.git",
-      "state" : {
-        "revision" : "83248b4fa37919f78ffbd4650946759bcc54c2b5",
-        "version" : "509.0.0"
-      }
-    },
-    {
-      "identity" : "swift-markdown",
-      "kind" : "remoteSourceControl",
-      "location" : "https://github.com/apple/swift-markdown.git",
-      "state" : {
-        "revision" : "e4f95e2dc23097a1a9a1dfdfe3fe3ee44de77378",
-        "version" : "0.3.0"
+        "branch" : "decimal-perf2",
+        "revision" : "9cd0c2721b5fbced5cdf65bb317f1bb8f9727ca6"
       }
     },
     {
@@ -44,16 +18,7 @@
         "revision" : "0a5bc04095a675662cf24757cc0640aa2204253b",
         "version" : "1.0.2"
       }
-    },
-    {
-      "identity" : "swift-syntax",
-      "kind" : "remoteSourceControl",
-      "location" : "https://github.com/apple/swift-syntax.git",
-      "state" : {
-        "revision" : "6ad4ea24b01559dde0773e3d091f1b9e36175036",
-        "version" : "509.0.2"
-      }
     }
   ],
-  "version" : 2
+  "version" : 3
 }

Package.swift

@@ -1,39 +1,44 @@
-// swift-tools-version: 5.9
+// swift-tools-version: 6.0
 // The swift-tools-version declares the minimum version of Swift required to build this package.
 
 import PackageDescription
 
 let package = Package(
-	name: "swift-rational",
+	name: "swift-big-rational",
 	products: [
 		.library(
-			name: "RationalModule",
-			targets: ["RationalModule"]
+			name: "BigRationalModule",
+			targets: ["BigRationalModule"]
 		)
 	],
 	dependencies: [
-		.package(
-			url: "https://github.com/apple/swift-format.git",
-			exact: "509.0.0"
-		),
 		.package(
 			url: "https://github.com/apple/swift-numerics",
 			from: "1.0.0"
-		)
+		),
+//		.package(
+//			url: "https://github.com/attaswift/BigInt.git",
+//			.upToNextMajor(from: "5.5.0")
+//		),
+		.package(
+			url: "https://github.com/mredig/BigInt.git",
+			branch: "decimal-perf2"
+		),
 	],
 	targets: [
 		.target(
-			name: "RationalModule",
+			name: "BigRationalModule",
 			dependencies: [
 				.product(
 					name: "RealModule",
 					package: "swift-numerics"
-				)
+				),
+				"BigInt",
 			]
 		),
 		.testTarget(
-			name: "RationalModuleTests",
-			dependencies: ["RationalModule"]
+			name: "BigRationalModuleTests",
+			dependencies: ["BigRationalModule"]
 		)
 	]
 )

README.md

@@ -1,48 +1,51 @@
-# Swift Rational
+# Swift Big Rational
 
 ## Introduction
 
-Swift Rational provides the `RationalModule` module for working with rational numbers in Swift.
+Swift Big Rational provides the `BigRationalModule` module for working with rational numbers with fraction components that might normally overflow in Swift.
 ```swift
-import RationalModule
+import BigRationalModule
 
-let half = Rational<Int>(1, 2)
+let half = Rational(1, 2)
+let tooBig = Rational(UInt.max) * Rational(4, 3)
 ```
 
-`RationalModule` has only a single dependency, [swift-numerics](https://github.com/apple/swift-numerics/tree/main).
+It was forked from [Swift Rational](https://github.com/abdel-17/swift-rational) and amended to accommodate numbers beyond what fits in 64 bits and also allow control over whether fractions are reduced or not.
 
-## Using Swift Rational in your project
+`BigRationalModule` has only two dependencies, [swift-numerics](https://github.com/apple/swift-numerics/tree/main) and [BigInt](https://github.com/attaswift/BigInt).
 
-To use Swift Rational in a SwiftPM project:
+## Using Swift Big Rational in your project
+
+To use Swift Big Rational in a SwiftPM project:
 
 1. Add the following line to the dependencies in your `Package.swift` file:
 
 ```swift
-.package(url: "https://github.com/abdel-17/swift-rational", from: "1.0.0")
+.package(url: "https://github.com/mredig/swift-big-rational.git", .upToNextMinor("1.1.0"))
 ```
 
-2. Add `RationalModule` as a dependency for your target:
+2. Add `BigRationalModule` as a dependency for your target:
 
 ```swift
 .target(
 	name: "TargetName",
 	dependencies: [
-		.product(name: "RationalModule", package: "swift-rational")
+		.product(name: "BigRationalModule", package: "swift-big-rational")
 	]
 )
 ```
 
-3. Add `import RationalModule` in your source code.
+3. Add `import BigRationalModule` in your source code.
 
 ## API
 
-`RationalModule` exports the `Rational` struct. It conforms to standard Swift protocols like `AdditiveArithmetic`, `Numeric`, `Hashable`, `Comparable`, and more.
+`BigRationalModule` exports the `Rational` struct. It conforms to standard Swift protocols like `AdditiveArithmetic`, `Numeric`, `Hashable`, `Comparable`, and more.
 
 You can create a `Rational` value using the fraction initializer.
 ```swift
 let half = Rational(2, 4)
-print(x.numerator)	// 1
-print(x.denominator)	// 2
+print(x.numerator)	// 2
+print(x.denominator)	// 4
 ```
 
 You can also use the integer initializer.
@@ -52,7 +55,7 @@ let one = Rational(1)
 
 Or simply an integer literal.
 ```swift
-let two: Rational<Int> = 2
+let two: Rational = 2
 ```
 
 `Rational` supports the standard arithmetic and comparison operators.
@@ -64,5 +67,21 @@ Rational(1)    / Rational(1, 2)		// Rational(2, 1)
 Rational(1, 2) < Rational(3, 4)		// true
 ```
 
+It also provides equivalence when comparing or hashing equal values with different multiples of one:
+```swift
+Rational(1, 2) == Rational(2, 4)						// true
+Rational(1, 2).hashValue == Rational(2, 4).hashValue	// true
+```
+
+If you want the reduced value of a fraction, just use the `.reduced` property:
+```swift
+Rational(2, 4).reduced	// Rational(1, 2)
+```
+Or pass `true` into the reduced argument when initializing:
+```swift
+Rational(2, 4, reduced: true)	// Rational(1, 2)
+```
+
+
 ## Attributions
 A lot of the implementations were ported over to Swift from Python's [fractions](https://github.com/python/cpython/blob/main/Lib/fractions.py) module.

Sources/BigRationalModule/BigInt+FixedIntEquatable.swift

@@ -0,0 +1,13 @@
+import BigInt
+
+public extension BigInt {
+	static func == <N: FixedWidthInteger>(lhs: Self, rhs: N) -> Bool {
+		rhs == lhs
+	}
+}
+
+public extension FixedWidthInteger {
+	static func == (lhs: Self, rhs: BigInt) -> Bool {
+		BigInt(lhs) == rhs
+	}
+}

Sources/RationalModule/GCD.swift → Sources/BigRationalModule/GCD.swift

@@ -19,8 +19,8 @@ internal func gcd<T: BinaryInteger>(_ a: T, _ b: T) -> T {
 	var x = a.magnitude
 	var y = b.magnitude
 
-	if x == 0 { return T(y) }
-	if y == 0 { return T(x) }
+	guard x != 0 else { return T(y) }
+	guard y != 0 else { return T(x) }
 
 	let xtz = x.trailingZeroBitCount
 	let ytz = y.trailingZeroBitCount