[Math] Some basic Vector tests

Math/Math.xcodeproj/project.pbxproj

@@ -11,9 +11,11 @@
 		C005E0051BE1CBA800F1BD3C /* Math.framework in Frameworks */ = {isa = PBXBuildFile; fileRef = C005DFFA1BE1CBA700F1BD3C /* Math.framework */; };
 		C005E00A1BE1CBA800F1BD3C /* MatrixTests.swift in Sources */ = {isa = PBXBuildFile; fileRef = C005E0091BE1CBA800F1BD3C /* MatrixTests.swift */; };
 		C005E0391BE1CC7A00F1BD3C /* Matrix.swift in Sources */ = {isa = PBXBuildFile; fileRef = C005E0381BE1CC7A00F1BD3C /* Matrix.swift */; };
+		C0211EF01BF59F29006936E7 /* VectorTests.swift in Sources */ = {isa = PBXBuildFile; fileRef = C0211EEF1BF59F29006936E7 /* VectorTests.swift */; };
 		C04449C11BE26A0700ABF046 /* Vector.swift in Sources */ = {isa = PBXBuildFile; fileRef = C04449C01BE26A0700ABF046 /* Vector.swift */; };
 		C08C72021BED07BB0030AD52 /* MatrixFunctionalTests.swift in Sources */ = {isa = PBXBuildFile; fileRef = C08C72011BED07BB0030AD52 /* MatrixFunctionalTests.swift */; };
 		C08C72041BED08900030AD52 /* Types.swift in Sources */ = {isa = PBXBuildFile; fileRef = C08C72031BED08900030AD52 /* Types.swift */; };
+		C08C72061BF0F33A0030AD52 /* TypeTests.swift in Sources */ = {isa = PBXBuildFile; fileRef = C08C72051BF0F33A0030AD52 /* TypeTests.swift */; };
 /* End PBXBuildFile section */
 
 /* Begin PBXContainerItemProxy section */
@@ -34,9 +36,11 @@
 		C005E0091BE1CBA800F1BD3C /* MatrixTests.swift */ = {isa = PBXFileReference; lastKnownFileType = sourcecode.swift; path = MatrixTests.swift; sourceTree = "<group>"; };
 		C005E00B1BE1CBA800F1BD3C /* Info.plist */ = {isa = PBXFileReference; lastKnownFileType = text.plist.xml; path = Info.plist; sourceTree = "<group>"; };
 		C005E0381BE1CC7A00F1BD3C /* Matrix.swift */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.swift; path = Matrix.swift; sourceTree = "<group>"; };
+		C0211EEF1BF59F29006936E7 /* VectorTests.swift */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.swift; path = VectorTests.swift; sourceTree = "<group>"; };
 		C04449C01BE26A0700ABF046 /* Vector.swift */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.swift; path = Vector.swift; sourceTree = "<group>"; };
 		C08C72011BED07BB0030AD52 /* MatrixFunctionalTests.swift */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.swift; path = MatrixFunctionalTests.swift; sourceTree = "<group>"; };
 		C08C72031BED08900030AD52 /* Types.swift */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.swift; path = Types.swift; sourceTree = "<group>"; };
+		C08C72051BF0F33A0030AD52 /* TypeTests.swift */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.swift; path = TypeTests.swift; sourceTree = "<group>"; };
 /* End PBXFileReference section */
 
 /* Begin PBXFrameworksBuildPhase section */
@@ -93,6 +97,8 @@
 			children = (
 				C005E0091BE1CBA800F1BD3C /* MatrixTests.swift */,
 				C08C72011BED07BB0030AD52 /* MatrixFunctionalTests.swift */,
+				C08C72051BF0F33A0030AD52 /* TypeTests.swift */,
+				C0211EEF1BF59F29006936E7 /* VectorTests.swift */,
 				C005E00B1BE1CBA800F1BD3C /* Info.plist */,
 			);
 			path = MathTests;
@@ -216,7 +222,9 @@
 			isa = PBXSourcesBuildPhase;
 			buildActionMask = 2147483647;
 			files = (
+				C08C72061BF0F33A0030AD52 /* TypeTests.swift in Sources */,
 				C005E00A1BE1CBA800F1BD3C /* MatrixTests.swift in Sources */,
+				C0211EF01BF59F29006936E7 /* VectorTests.swift in Sources */,
 				C08C72021BED07BB0030AD52 /* MatrixFunctionalTests.swift in Sources */,
 			);
 			runOnlyForDeploymentPostprocessing = 0;

Math/MathTests/MatrixFunctionalTests.swift

@@ -8,7 +8,23 @@
 
 import Foundation
 import XCTest
+@testable import Math
+
+func assertVectorAlmostEqual<T: Vector>(@autoclosure lhs: () -> T?, @autoclosure _ rhs: () -> T?, message: String = "", file: String = __FILE__, line: UInt = __LINE__) {
+    let lhsValue = lhs()
+    let rhsValue = rhs()
+    let msg = message != "" ? message : "expected \(lhsValue), got \(rhsValue)"
+    XCTAssert(lhsValue ==~ rhsValue, msg, file: file, line: line)
+}
 
 class MatrixVectorTests: XCTestCase {
-    func 
+    func testThatMultiplyingIdentityByAVectorGivesTheVector() {
+        let v = Matrix4.identity * Vector4(x: 1, y: 2, z: 3)
+        assertVectorAlmostEqual(v, Vector4(x: 1, y: 2, z: 3))
+    }
+
+    func testThatMultiplyingTranslationByAVectorGivesTranslatedVector() {
+        let v = Matrix4(translationWithX: 1, y: 1, z: 1) * Vector4(x: 2, y: 2, z: 2)
+        assertVectorAlmostEqual(v, Vector4(x: 3, y: 3, z: 3))
+    }
 }

Math/MathTests/TypeTests.swift

@@ -0,0 +1,10 @@
+//
+//  TypeTests.swift
+//  Math
+//
+//  Created by Eryn Wells on 11/9/15.
+//  Copyright © 2015 Eryn Wells. All rights reserved.
+//
+
+import Foundation
+import Math

Math/MathTests/VectorTests.swift

@@ -0,0 +1,24 @@
+//
+//  VectorTests.swift
+//  Math
+//
+//  Created by Eryn Wells on 11/12/15.
+//  Copyright © 2015 Eryn Wells. All rights reserved.
+//
+
+import XCTest
+@testable import Math
+
+class VectorTests: XCTestCase {
+    func testThatLengthOfAUnitVectorIsSane() {
+        XCTAssertEqualWithAccuracy(Vector3(x: 1, y: 0, z: 0).length, 1.0, accuracy: Float.Epsilon)
+    }
+
+    func testThatTheLength2OfAVectorIsSane() {
+        XCTAssertEqualWithAccuracy(Vector3(x: 2, y: 0, z: 0).length2, 4.0, accuracy: Float.Epsilon)
+    }
+
+    func testThatANormalizedVectorHasLength1() {
+        XCTAssertEqualWithAccuracy(Vector3(x: 1, y: 2, z: 3).normalized.length, 1.0, accuracy: 1e-6)
+    }
+}