Optimize search for start-anchored regexes

Sources/RegexBenchmark/Suite/NotFound.swift

@@ -13,7 +13,7 @@ extension BenchmarkRunner {
       baseName: "AnchoredNotFound",
       regex: "^ +a",
       input: input,
-      isWhole: true)
+      includeFirst: true)
     anchoredNotFound.register(&self)
   }
 }

Sources/_StringProcessing/ByteCodeGen.swift

@@ -46,6 +46,7 @@ extension Compiler.ByteCodeGen {
     // The whole match (`.0` element of output) is equivalent to an implicit
     // capture over the entire regex.
     try emitNode(.capture(name: nil, reference: nil, root))
+    builder.canOnlyMatchAtStart = root.canOnlyMatchAtStart()
     builder.buildAccept()
     return try builder.assemble()
   }

Sources/_StringProcessing/Engine/MEBuilder.swift

@@ -43,6 +43,9 @@ extension MEProgram {
     var captureList = CaptureList()
     var initialOptions = MatchingOptions()
 
+    // Starting constraint
+    var canOnlyMatchAtStart = false
+
     // Symbolic reference resolution
     var unresolvedReferences: [ReferenceID: [InstructionAddress]] = [:]
     var referencedCaptureOffsets: [ReferenceID: Int] = [:]
@@ -404,7 +407,8 @@ extension MEProgram.Builder {
       enableMetrics: enableMetrics,
       captureList: captureList,
       referencedCaptureOffsets: referencedCaptureOffsets,
-      initialOptions: initialOptions)
+      initialOptions: initialOptions,
+      canOnlyMatchAtStart: canOnlyMatchAtStart)
   }
 
   mutating func reset() { self = Self() }

Sources/_StringProcessing/Engine/MEProgram.swift

@@ -38,6 +38,7 @@ struct MEProgram {
   let referencedCaptureOffsets: [ReferenceID: Int]
 
   var initialOptions: MatchingOptions
+  var canOnlyMatchAtStart: Bool
 }
 
 extension MEProgram: CustomStringConvertible {

Sources/_StringProcessing/Regex/DSLTree.swift

@@ -711,6 +711,105 @@ extension DSLTree.Node {
   }
 }
 
+extension DSLTree.Node {
+  /// Implementation for `canOnlyMatchAtStart`, which maintains the option
+  /// state.
+  ///
+  /// For a given specific node, this method can return one of three values:
+  ///
+  /// - `true`: This node is guaranteed to match only at the start of a subject.
+  /// - `false`: This node can match anywhere in the subject.
+  /// - `nil`: This node is inconclusive about where it can match.
+  ///
+  /// In particular, non-required groups and option-setting groups are
+  /// inconclusive about where they can match.
+  private func _canOnlyMatchAtStartImpl(_ options: inout MatchingOptions) -> Bool? {
+    switch self {
+    // Defining cases
+    case .atom(.assertion(.startOfSubject)):
+      return true
+    case .atom(.assertion(.caretAnchor)):
+      return !options.anchorsMatchNewlines
+
+    // Changing options doesn't determine `true`/`false`.
+    case .atom(.changeMatchingOptions(let sequence)):
+      options.apply(sequence.ast)
+      return nil
+
+    // Any other atom or consuming node returns `false`.
+    case .atom, .customCharacterClass, .quotedLiteral:
+      return false
+
+    // Trivia/empty have no effect.
+    case .trivia, .empty:
+      return nil
+
+    // In an alternation, all of its children must match only at start.
+    case .orderedChoice(let children):
+      return children.allSatisfy { $0._canOnlyMatchAtStartImpl(&options) == true }
+
+    // In a concatenation, the first definitive child provides the answer.
+    case .concatenation(let children):
+      for child in children {
+        if let result = child._canOnlyMatchAtStartImpl(&options) {
+          return result
+        }
+      }
+      return false
+
+    // Groups (and other parent nodes) defer to the child.
+    case .nonCapturingGroup(let kind, let child):
+      options.beginScope()
+      defer { options.endScope() }
+      if case .changeMatchingOptions(let sequence) = kind.ast {
+        options.apply(sequence)
+      }
+      return child._canOnlyMatchAtStartImpl(&options)
+    case .capture(_, _, let child, _):
+      options.beginScope()
+      defer { options.endScope() }
+      return child._canOnlyMatchAtStartImpl(&options)
+    case .ignoreCapturesInTypedOutput(let child),
+        .convertedRegexLiteral(let child, _):
+      return child._canOnlyMatchAtStartImpl(&options)
+
+    // A quantification that doesn't require its child to exist can still
+    // allow a start-only match. (e.g. `/(foo)?^bar/`)
+    case .quantification(let amount, _, let child):
+      return amount.requiresAtLeastOne
+        ? child._canOnlyMatchAtStartImpl(&options)
+        : nil
+
+    // For conditional nodes, both sides must require matching at start.
+    case .conditional(_, let child1, let child2):
+      return child1._canOnlyMatchAtStartImpl(&options) == true
+        && child2._canOnlyMatchAtStartImpl(&options) == true
+
+    // Extended behavior isn't known, so we return `false` for safety.
+    case .consumer, .matcher, .characterPredicate, .absentFunction:
+      return false
+    }
+  }
+
+  /// Returns a Boolean value indicating whether the regex with this node as
+  /// the root can _only_ match at the start of a subject.
+  ///
+  /// For example, these regexes can only match at the start of a subject:
+  ///
+  /// - `/^foo/`
+  /// - `/(^foo|^bar)/` (both sides of the alternation start with `^`)
+  ///
+  /// These can match other places in a subject:
+  ///
+  /// - `/(^foo)?bar/` (`^` is in an optional group)
+  /// - `/(^foo|bar)/` (only one side of the alternation starts with `^`)
+  /// - `/(?m)^foo/` (`^` means "the start of a line" due to `(?m)`)
+  internal func canOnlyMatchAtStart() -> Bool {
+    var options = MatchingOptions()
+    return _canOnlyMatchAtStartImpl(&options) ?? false
+  }
+}
+
 // MARK: AST wrapper types
 //
 // These wrapper types are required because even @_spi-marked public APIs can't
@@ -818,6 +917,17 @@ extension DSLTree {
       public static func range(_ lower: Int, _ upper: Int) -> Self {
         .init(ast: .range(.init(lower, at: .fake), .init(upper, at: .fake)))
       }
+
+      internal var requiresAtLeastOne: Bool {
+        switch ast {
+        case .zeroOrOne, .zeroOrMore, .upToN:
+          return false
+        case .oneOrMore:
+          return true
+        case .exactly(let num), .nOrMore(let num), .range(let num, _):
+          return num.value.map { $0 > 0 } ?? false
+        }
+      }
     }
 
     @_spi(RegexBuilder)

Sources/_StringProcessing/Regex/Match.swift

@@ -273,7 +273,9 @@ extension Regex {
     _ input: String,
     in subjectBounds: Range<String.Index>
   ) throws -> Regex<Output>.Match? {
-    try _firstMatch(input, subjectBounds: subjectBounds, searchBounds: subjectBounds)
+    try regex.program.loweredProgram.canOnlyMatchAtStart
+      ? _match(input, in: subjectBounds, mode: .partialFromFront)
+      : _firstMatch(input, subjectBounds: subjectBounds, searchBounds: subjectBounds)
   }
 
   func _firstMatch(

Tests/RegexBuilderTests/RegexDSLTests.swift

@@ -10,7 +10,7 @@
 //===----------------------------------------------------------------------===//
 
 import XCTest
-import _StringProcessing
+@testable import _StringProcessing
 import RegexBuilder
 import TestSupport
 
@@ -973,6 +973,55 @@ class RegexDSLTests: XCTestCase {
     }
   }
 
+  func testCanOnlyMatchAtStart() throws {
+    func expectCanOnlyMatchAtStart(
+      _ expectation: Bool,
+      file: StaticString = #file, line: UInt = #line,
+      @RegexComponentBuilder _ content: () -> some RegexComponent
+    ) {
+      let regex = content().regex
+      XCTAssertEqual(regex.program.loweredProgram.canOnlyMatchAtStart, expectation, file: file, line: line)
+    }
+
+    expectCanOnlyMatchAtStart(true) {
+      Anchor.startOfSubject
+      "foo"
+    }
+    expectCanOnlyMatchAtStart(false) {
+      "foo"
+    }
+    expectCanOnlyMatchAtStart(true) {
+      Optionally { "foo" }
+      Anchor.startOfSubject
+      "bar"
+    }
+
+    expectCanOnlyMatchAtStart(true) {
+      ChoiceOf {
+        Regex {
+          Anchor.startOfSubject
+          "foo"
+        }
+        Regex {
+          Anchor.startOfSubject
+          "bar"
+        }
+      }
+    }
+    expectCanOnlyMatchAtStart(false) {
+      ChoiceOf {
+        Regex {
+          Anchor.startOfSubject
+          "foo"
+        }
+        Regex {
+          Anchor.startOfLine
+          "bar"
+        }
+      }
+    }
+  }
+
   func testNestedGroups() throws {
     return;
 

Tests/RegexTests/CompileTests.swift

@@ -484,4 +484,42 @@ extension RegexTests {
     expectProgram(for: #"(a+)*"#, doesNotContain: [.moveCurrentPosition, .condBranchSamePosition])
     expectProgram(for: #"(a{1,})*"#, doesNotContain: [.moveCurrentPosition, .condBranchSamePosition])
   }
+
+  func testCanOnlyMatchAtStart() throws {
+    func expectCanOnlyMatchAtStart(
+      _ regexStr: String,
+      _ expectTrue: Bool,
+      file: StaticString = #file,
+      line: UInt = #line
+    ) throws {
+      let regex = try Regex(regexStr)
+      XCTAssertEqual(
+        regex.program.loweredProgram.canOnlyMatchAtStart, expectTrue,
+        file: file, line: line)
+    }
+
+    try expectCanOnlyMatchAtStart("^foo", true)        // anchor
+    try expectCanOnlyMatchAtStart("\\Afoo", true)      // more specific anchor
+    try expectCanOnlyMatchAtStart("foo", false)        // no anchor
+
+    try expectCanOnlyMatchAtStart("(?i)^foo", true)    // unrelated option
+    try expectCanOnlyMatchAtStart("(?m)^foo", false)   // anchors match newlines
+    try expectCanOnlyMatchAtStart("(?i:^foo)", true)   // unrelated option
+    try expectCanOnlyMatchAtStart("(?m:^foo)", false)  // anchors match newlines
+
+    try expectCanOnlyMatchAtStart("(^foo|bar)", false) // one side of alternation
+    try expectCanOnlyMatchAtStart("(foo|^bar)", false) // other side of alternation
+    try expectCanOnlyMatchAtStart("(^foo|^bar)", true) // both sides of alternation
+
+    // Test quantifiers that include the anchor
+    try expectCanOnlyMatchAtStart("(^foo)?bar", false)
+    try expectCanOnlyMatchAtStart("(^foo)*bar", false)
+    try expectCanOnlyMatchAtStart("(^foo)+bar", true)
+    try expectCanOnlyMatchAtStart("(?:^foo)+bar", true)
+
+    // Test quantifiers before the anchor
+    try expectCanOnlyMatchAtStart("(foo)?^bar", true)  // The initial group must match ""
+    try expectCanOnlyMatchAtStart("(?:foo)?^bar", true)
+    try expectCanOnlyMatchAtStart("(foo)+^bar", false) // This can't actually match anywhere
+  }
 }