Support %left and %right to specify precedences and associativities

11 files changed, 632 insertions, 5 deletions

diff --git a/driver/conflict_test.go b/driver/conflict_test.go
index 750ed4e..46eeaba 100644
--- a/driver/conflict_test.go
+++ b/driver/conflict_test.go
@@ -68,6 +68,251 @@ id: "[A-Za-z0-9_]+";
 				),
 			),
 		},
+		{
+			caption: "left associativities defined earlier in the grammar have higher precedence",
+			specSrc: `
+%left mul
+%left add
+
+expr
+    : expr add expr
+    | expr mul expr
+	| id
+    ;
+
+id: "[A-Za-z0-9_]+";
+add: '+';
+mul: '*';
+`,
+			src: `a+b*c*d+e`,
+			cst: nonTermNode("expr",
+				nonTermNode("expr",
+					nonTermNode("expr",
+						termNode("id", "a"),
+					),
+					termNode("add", "+"),
+					nonTermNode("expr",
+						nonTermNode("expr",
+							nonTermNode("expr",
+								termNode("id", "b"),
+							),
+							termNode("mul", "*"),
+							nonTermNode("expr",
+								termNode("id", "c"),
+							),
+						),
+						termNode("mul", "*"),
+						nonTermNode("expr",
+							termNode("id", "d"),
+						),
+					),
+				),
+				termNode("add", "+"),
+				nonTermNode("expr",
+					termNode("id", "e"),
+				),
+			),
+		},
+		{
+			caption: "left associativities defined in the same line have the same precedence",
+			specSrc: `
+%left add sub
+
+expr
+    : expr add expr
+    | expr sub expr
+	| id
+    ;
+
+id: "[A-Za-z0-9_]+";
+add: '+';
+sub: '-';
+`,
+			src: `a-b+c+d-e`,
+			cst: nonTermNode("expr",
+				nonTermNode("expr",
+					nonTermNode("expr",
+						nonTermNode("expr",
+							nonTermNode("expr",
+								termNode("id", "a"),
+							),
+							termNode("sub", "-"),
+							nonTermNode("expr",
+								termNode("id", "b"),
+							),
+						),
+						termNode("add", "+"),
+						nonTermNode("expr",
+							termNode("id", "c"),
+						),
+					),
+					termNode("add", "+"),
+					nonTermNode("expr",
+						termNode("id", "d"),
+					),
+				),
+				termNode("sub", "-"),
+				nonTermNode("expr",
+					termNode("id", "e"),
+				),
+			),
+		},
+		{
+			caption: "right associativities defined earlier in the grammar have higher precedence",
+			specSrc: `
+%right r1
+%right r2
+
+expr
+    : expr r2 expr
+    | expr r1 expr
+	| id
+    ;
+
+whitespaces: "[\u{0009}\u{0020}]+" #skip;
+r1: 'r1';
+r2: 'r2';
+id: "[A-Za-z0-9_]+";
+`,
+			src: `a r2 b r1 c r1 d r2 e`,
+			cst: nonTermNode("expr",
+				nonTermNode("expr",
+					termNode("id", "a"),
+				),
+				termNode("r2", "r2"),
+				nonTermNode("expr",
+					nonTermNode("expr",
+						nonTermNode("expr",
+							termNode("id", "b"),
+						),
+						termNode("r1", "r1"),
+						nonTermNode("expr",
+							nonTermNode("expr",
+								termNode("id", "c"),
+							),
+							termNode("r1", "r1"),
+							nonTermNode("expr",
+								termNode("id", "d"),
+							),
+						),
+					),
+					termNode("r2", "r2"),
+					nonTermNode("expr",
+						termNode("id", "e"),
+					),
+				),
+			),
+		},
+		{
+			caption: "right associativities defined in the same line have the same precedence",
+			specSrc: `
+%right r1 r2
+
+expr
+    : expr r2 expr
+    | expr r1 expr
+	| id
+    ;
+
+whitespaces: "[\u{0009}\u{0020}]+" #skip;
+r1: 'r1';
+r2: 'r2';
+id: "[A-Za-z0-9_]+";
+`,
+			src: `a r2 b r1 c r1 d r2 e`,
+			cst: nonTermNode("expr",
+				nonTermNode("expr",
+					termNode("id", "a"),
+				),
+				termNode("r2", "r2"),
+				nonTermNode("expr",
+					nonTermNode("expr",
+						termNode("id", "b"),
+					),
+					termNode("r1", "r1"),
+					nonTermNode("expr",
+						nonTermNode("expr",
+							termNode("id", "c"),
+						),
+						termNode("r1", "r1"),
+						nonTermNode("expr",
+							nonTermNode("expr",
+								termNode("id", "d"),
+							),
+							termNode("r2", "r2"),
+							nonTermNode("expr",
+								termNode("id", "e"),
+							),
+						),
+					),
+				),
+			),
+		},
+		{
+			caption: "left and right associativities can be mixed",
+			specSrc: `
+%left mul div
+%left add sub
+%right assign
+
+expr
+    : expr add expr
+    | expr sub expr
+    | expr mul expr
+    | expr div expr
+	| expr assign expr
+	| id
+    ;
+
+id: "[A-Za-z0-9_]+";
+add: '+';
+sub: '-';
+mul: '*';
+div: '/';
+assign: '=';
+`,
+			src: `x=y=a+b*c-d/e`,
+			cst: nonTermNode(
+				"expr",
+				nonTermNode("expr",
+					termNode("id", "x"),
+				),
+				termNode("assign", "="),
+				nonTermNode("expr",
+					nonTermNode("expr",
+						termNode("id", "y"),
+					),
+					termNode("assign", "="),
+					nonTermNode("expr",
+						nonTermNode("expr",
+							nonTermNode("expr",
+								termNode("id", "a"),
+							),
+							termNode("add", "+"),
+							nonTermNode("expr",
+								nonTermNode("expr",
+									termNode("id", "b"),
+								),
+								termNode("mul", "*"),
+								nonTermNode("expr",
+									termNode("id", "c"),
+								),
+							),
+						),
+						termNode("sub", "-"),
+						nonTermNode("expr",
+							nonTermNode("expr",
+								termNode("id", "d"),
+							),
+							termNode("div", "/"),
+							nonTermNode("expr",
+								termNode("id", "e"),
+							),
+						),
+					),
+				),
+			),
+		},
 	}
 
 	for _, tt := range tests {
diff --git a/driver/parser_test.go b/driver/parser_test.go
index d50ee85..9467d6c 100644
--- a/driver/parser_test.go
+++ b/driver/parser_test.go
@@ -395,6 +395,58 @@ b: "a";
 `,
 			specErr: true,
 		},
+		// Invalid associativity type
+		{
+			specSrc: `
+%foo
+
+s
+    : a
+    ;
+
+a: 'a';
+`,
+			specErr: true,
+		},
+		// Associativity needs at least one symbol.
+		{
+			specSrc: `
+%left
+
+s
+    : a
+    ;
+
+a: 'a';
+`,
+			specErr: true,
+		},
+		// Associativity cannot take an undefined symbol.
+		{
+			specSrc: `
+%left b
+
+s
+    : a
+    ;
+
+a: 'a';
+`,
+			specErr: true,
+		},
+		// Associativity cannot take a non-terminal symbol.
+		{
+			specSrc: `
+%left s
+
+s
+    : a
+    ;
+
+a: 'a';
+`,
+			specErr: true,
+		},
 	}
 
 	classes := []grammar.Class{
diff --git a/grammar/grammar.go b/grammar/grammar.go
index 85eedcc..450c526 100644
--- a/grammar/grammar.go
+++ b/grammar/grammar.go
@@ -16,6 +16,58 @@ type astActionEntry struct {
 	expansion bool
 }
 
+type assocType string
+
+const (
+	assocTypeNil   = assocType("")
+	assocTypeLeft  = assocType("left")
+	assocTypeRight = assocType("right")
+)
+
+const (
+	precNil = 0
+	precMin = 1
+)
+
+// precAndAssoc represents precedence and associativities of terminal symbols and productions.
+// We use the priority of the production to resolve shift/reduce conflicts.
+type precAndAssoc struct {
+	// termPrec represents the precedence of the terminal symbols.
+	termPrec map[symbolNum]int
+
+	// prodPrec and prodAssoc represent the precedence and the associativities of the production.
+	// These values are inherited from the right-most symbols in the RHS of the productions.
+	prodPrec  map[productionNum]int
+	prodAssoc map[productionNum]assocType
+}
+
+func (pa *precAndAssoc) terminalPrecedence(sym symbolNum) int {
+	prec, ok := pa.termPrec[sym]
+	if !ok {
+		return precNil
+	}
+
+	return prec
+}
+
+func (pa *precAndAssoc) productionPredence(prod productionNum) int {
+	prec, ok := pa.prodPrec[prod]
+	if !ok {
+		return precNil
+	}
+
+	return prec
+}
+
+func (pa *precAndAssoc) productionAssociativity(prod productionNum) assocType {
+	assoc, ok := pa.prodAssoc[prod]
+	if !ok {
+		return assocTypeNil
+	}
+
+	return assoc
+}
+
 type Grammar struct {
 	lexSpec              *mlspec.LexSpec
 	skipLexKinds         []mlspec.LexKindName
@@ -24,6 +76,7 @@ type Grammar struct {
 	augmentedStartSymbol symbol
 	symbolTable          *symbolTable
 	astActions           map[productionID][]*astActionEntry
+	precAndAssoc         *precAndAssoc
 }
 
 type GrammarBuilder struct {
@@ -43,6 +96,11 @@ func (b *GrammarBuilder) Build() (*Grammar, error) {
 		return nil, err
 	}
 
+	pa, err := b.genPrecAndAssoc(symTabAndLexSpec.symTab, prodsAndActs.prods)
+	if err != nil {
+		return nil, err
+	}
+
 	syms, err := findUsedAndUnusedSymbols(b.AST)
 	if err != nil {
 		return nil, err
@@ -93,6 +151,7 @@ func (b *GrammarBuilder) Build() (*Grammar, error) {
 		augmentedStartSymbol: prodsAndActs.augStartSym,
 		symbolTable:          symTabAndLexSpec.symTab,
 		astActions:           prodsAndActs.astActs,
+		precAndAssoc:         pa,
 	}, nil
 }
 
@@ -130,7 +189,6 @@ func findUsedAndUnusedSymbols(root *spec.RootNode) (*usedAndUnusedSymbols, error
 		markUsedSymbols(mark, map[string]bool{}, prods, start)
 	}
 
-	// usedProds := make(map[string]*spec.ProductionNode, len(prods))
 	usedTerms := make(map[string]*spec.ProductionNode, len(lexProds))
 	unusedProds := map[string]*spec.ProductionNode{}
 	unusedTerms := map[string]*spec.ProductionNode{}
@@ -605,6 +663,93 @@ func (b *GrammarBuilder) genProductionsAndActions(root *spec.RootNode, symTabAnd
 	}, nil
 }
 
+func (b *GrammarBuilder) genPrecAndAssoc(symTab *symbolTable, prods *productionSet) (*precAndAssoc, error) {
+	termPrec := map[symbolNum]int{}
+	termAssoc := map[symbolNum]assocType{}
+	{
+		precN := precMin
+		for _, md := range b.AST.MetaData {
+			var assocTy assocType
+			switch md.Name {
+			case "left":
+				assocTy = assocTypeLeft
+			case "right":
+				assocTy = assocTypeRight
+			default:
+				return nil, &verr.SpecError{
+					Cause: semErrMDInvalidName,
+					Row:   md.Pos.Row,
+				}
+			}
+
+			if len(md.Parameters) == 0 {
+				return nil, &verr.SpecError{
+					Cause:  semErrMDInvalidParam,
+					Detail: "associativity needs at least one symbol",
+					Row:    md.Pos.Row,
+				}
+			}
+
+			for _, p := range md.Parameters {
+				sym, ok := symTab.toSymbol(p.ID)
+				if !ok {
+					return nil, &verr.SpecError{
+						Cause:  semErrMDInvalidParam,
+						Detail: fmt.Sprintf("'%v' is undefined", p.ID),
+						Row:    p.Pos.Row,
+					}
+				}
+				if !sym.isTerminal() {
+					return nil, &verr.SpecError{
+						Cause:  semErrMDInvalidParam,
+						Detail: fmt.Sprintf("associativity can take only terminal symbol ('%v' is a non-terminal)", p.ID),
+						Row:    p.Pos.Row,
+					}
+				}
+
+				termPrec[sym.num()] = precN
+				termAssoc[sym.num()] = assocTy
+			}
+
+			precN++
+		}
+	}
+
+	prodPrec := map[productionNum]int{}
+	prodAssoc := map[productionNum]assocType{}
+	for _, prod := range prods.getAllProductions() {
+		mostRightTerm := symbolNil
+		for _, sym := range prod.rhs {
+			if !sym.isTerminal() {
+				continue
+			}
+			mostRightTerm = sym
+		}
+		if mostRightTerm.isNil() {
+			continue
+		}
+
+		prec, ok := termPrec[mostRightTerm.num()]
+		if !ok {
+			continue
+		}
+
+		assoc, ok := termAssoc[mostRightTerm.num()]
+		if !ok {
+			continue
+		}
+
+		prodPrec[prod.num] = prec
+		prodAssoc[prod.num] = assoc
+	}
+
+	return &precAndAssoc{
+		termPrec:  termPrec,
+		prodPrec:  prodPrec,
+		prodAssoc: prodAssoc,
+	}, nil
+}
+
 type Class string
 
 const (
@@ -720,6 +865,7 @@ func Compile(gram *Grammar, opts ...CompileOption) (*spec.CompiledGrammar, error
 			nonTermCount: len(nonTerms),
 			symTab:       gram.symbolTable,
 			sym2AnonPat:  gram.sym2AnonPat,
+			precAndAssoc: gram.precAndAssoc,
 		}
 		tab, err = b.build()
 		if err != nil {
diff --git a/grammar/parsing_table.go b/grammar/parsing_table.go
index 903f95a..aee5963 100644
--- a/grammar/parsing_table.go
+++ b/grammar/parsing_table.go
@@ -136,6 +136,7 @@ type lrTableBuilder struct {
 	nonTermCount int
 	symTab       *symbolTable
 	sym2AnonPat  map[symbol]string
+	precAndAssoc *precAndAssoc
 
 	conflicts []conflict
 }
@@ -222,6 +223,12 @@ func (b *lrTableBuilder) writeShiftAction(tab *ParsingTable, state stateNum, sym
 				nextState: nextState,
 				prodNum:   p,
 			})
+
+			if b.resolveConflict(sym.num(), p) == ActionTypeShift {
+				tab.writeAction(state.Int(), sym.num().Int(), newShiftActionEntry(nextState))
+			}
+
+			return
 		}
 	}
 
@@ -230,7 +237,7 @@ func (b *lrTableBuilder) writeShiftAction(tab *ParsingTable, state stateNum, sym
 
 // writeReduceAction writes a reduce action to the parsing table. When a shift/reduce conflict occurred,
 // we prioritize the shift action, and when a reduce/reduce conflict we prioritize the action that reduces
-// teh production with higher priority. Productions defined earlier in the grammar file have a higher priority.
+// the production with higher priority. Productions defined earlier in the grammar file have a higher priority.
 func (b *lrTableBuilder) writeReduceAction(tab *ParsingTable, state stateNum, sym symbol, prod productionNum) {
 	act := tab.readAction(state.Int(), sym.num().Int())
 	if !act.isEmpty() {
@@ -261,7 +268,9 @@ func (b *lrTableBuilder) writeReduceAction(tab *ParsingTable, state stateNum, sy
 				prodNum:   prod,
 			})
 
-			tab.writeAction(state.Int(), sym.num().Int(), newShiftActionEntry(s))
+			if b.resolveConflict(sym.num(), prod) == ActionTypeReduce {
+				tab.writeAction(state.Int(), sym.num().Int(), newReduceActionEntry(prod))
+			}
 		}
 
 		return
@@ -270,6 +279,22 @@ func (b *lrTableBuilder) writeReduceAction(tab *ParsingTable, state stateNum, sy
 	tab.writeAction(state.Int(), sym.num().Int(), newReduceActionEntry(prod))
 }
 
+func (b *lrTableBuilder) resolveConflict(sym symbolNum, prod productionNum) ActionType {
+	symPrec := b.precAndAssoc.terminalPrecedence(sym)
+	prodPrec := b.precAndAssoc.productionPredence(prod)
+	if symPrec < prodPrec {
+		return ActionTypeShift
+	}
+	if symPrec == prodPrec {
+		assoc := b.precAndAssoc.productionAssociativity(prod)
+		if assoc != assocTypeLeft {
+			return ActionTypeShift
+		}
+	}
+
+	return ActionTypeReduce
+}
+
 func (b *lrTableBuilder) writeDescription(w io.Writer, tab *ParsingTable) {
 	conflicts := map[stateNum][]conflict{}
 	for _, con := range b.conflicts {
diff --git a/grammar/semantic_error.go b/grammar/semantic_error.go
index 2d722a8..28154e2 100644
--- a/grammar/semantic_error.go
+++ b/grammar/semantic_error.go
@@ -15,6 +15,8 @@ func (e *SemanticError) Error() string {
 }
 
 var (
+	semErrMDInvalidName       = newSemanticError("invalid meta data name")
+	semErrMDInvalidParam      = newSemanticError("invalid parameter")
 	semErrUnusedProduction    = newSemanticError("unused production")
 	semErrUnusedTerminal      = newSemanticError("unused terminal")
 	semErrTermCannotBeSkipped = newSemanticError("a terminal used in productions cannot be skipped")
diff --git a/spec/clexspec.json b/spec/clexspec.json
index 129278a..6cf753b 100644
--- a/spec/clexspec.json
+++ b/spec/clexspec.json
@@ -1 +1 @@
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19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,-1,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,-1,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,-1,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1],"row_displacement":[0,0,736,2548,852,2612,916,2372,980,1044,1108,2839,1172,245,2613,1236,2677,1300,2420,1364,1428,1492,2855,1556,735,2678,1620,2742,1684,2468,1748,1812,1876,2871,1940,490,2743,2004,2807,2068,2516,2132,2196,2260,2887,2324]},"row_nums":[0,1,2,3,2,4,2,5,2,6,2,7,8,2,9,10,2,11,12,2,13,2,14,2,15,2,16,2,17,2,18,19,2,20,21,2,22,23,2,24,2,25,2,26,2,27,2,28,2,29,30,2,31,32,2,33,34,2,35,2,36,2,37,2,38,2,39,2,40,41,2,42,43,2,44,45,2,0],"original_row_count":78,"original_col_count":256,"empty_value":0}}}]}
diff --git a/spec/lexer.go b/spec/lexer.go
index 30757c6..da0cf74 100644
--- a/spec/lexer.go
+++ b/spec/lexer.go
@@ -29,6 +29,7 @@ const (
 	tokenKindTreeNodeClose   = tokenKind(")")
 	tokenKindPosition        = tokenKind("$")
 	tokenKindExpantion       = tokenKind("...")
+	tokenKindMetaDataMarker  = tokenKind("%")
 	tokenKindNewline         = tokenKind("newline")
 	tokenKindEOF             = tokenKind("eof")
 	tokenKindInvalid         = tokenKind("invalid")
@@ -258,6 +259,8 @@ func (l *lexer) lexAndSkipWSs() (*token, error) {
 		return newPositionToken(num, newPosition(l.row)), nil
 	case "expansion":
 		return newSymbolToken(tokenKindExpantion, newPosition(l.row)), nil
+	case "metadata_marker":
+		return newSymbolToken(tokenKindMetaDataMarker, newPosition(l.row)), nil
 	default:
 		return newInvalidToken(tok.Text(), newPosition(l.row)), nil
 	}
diff --git a/spec/lexer_test.go b/spec/lexer_test.go
index e016def..e5d999e 100644
--- a/spec/lexer_test.go
+++ b/spec/lexer_test.go
@@ -36,7 +36,7 @@ func TestLexer_Run(t *testing.T) {
 	}{
 		{
 			caption: "the lexer can recognize all kinds of tokens",
-			src:     `id"terminal"'.*+?|()[\':|;#()$1...#`,
+			src:     `id"terminal"'.*+?|()[\':|;#()$1...#%`,
 			tokens: []*token{
 				idTok("id"),
 				termPatTok("terminal"),
@@ -49,6 +49,7 @@ func TestLexer_Run(t *testing.T) {
 				posTok(1),
 				symTok(tokenKindExpantion),
 				symTok(tokenKindDirectiveMarker),
+				symTok(tokenKindMetaDataMarker),
 				newEOFToken(),
 			},
 		},
diff --git a/spec/lexspec.json b/spec/lexspec.json
index 12bbee7..c48e2b6 100644
--- a/spec/lexspec.json
+++ b/spec/lexspec.json
@@ -101,6 +101,10 @@
 		{
 			"kind": "directive_marker",
 			"pattern": "#"
+		},
+		{
+			"kind": "metadata_marker",
+			"pattern": "%"
 		}
 	]
 }
diff --git a/spec/parser.go b/spec/parser.go
index 29248f4..53bf491 100644
--- a/spec/parser.go
+++ b/spec/parser.go
@@ -8,6 +8,7 @@ import (
 )
 
 type RootNode struct {
+	MetaData       []*DirectiveNode
 	Productions    []*ProductionNode
 	LexProductions []*ProductionNode
 	Fragments      []*FragmentNode
@@ -135,10 +136,17 @@ func (p *parser) parseRoot() *RootNode {
 		}
 	}()
 
+	var metadata []*DirectiveNode
 	var prods []*ProductionNode
 	var lexProds []*ProductionNode
 	var fragments []*FragmentNode
 	for {
+		md := p.parseMetaData()
+		if md != nil {
+			metadata = append(metadata, md)
+			continue
+		}
+
 		fragment := p.parseFragment()
 		if fragment != nil {
 			fragments = append(fragments, fragment)
@@ -161,12 +169,61 @@ func (p *parser) parseRoot() *RootNode {
 	}
 
 	return &RootNode{
+		MetaData:       metadata,
 		Productions:    prods,
 		LexProductions: lexProds,
 		Fragments:      fragments,
 	}
 }
 
+func (p *parser) parseMetaData() *DirectiveNode {
+	defer func() {
+		err := recover()
+		if err == nil {
+			return
+		}
+
+		specErr, ok := err.(*verr.SpecError)
+		if !ok {
+			panic(err)
+		}
+
+		p.errs = append(p.errs, specErr)
+		p.skipOverTo(tokenKindNewline)
+
+		return
+	}()
+
+	p.consume(tokenKindNewline)
+
+	if !p.consume(tokenKindMetaDataMarker) {
+		return nil
+	}
+	mdPos := p.lastTok.pos
+
+	if !p.consume(tokenKindID) {
+		raiseSyntaxError(p.pos.Row, synErrNoProductionName)
+	}
+	name := p.lastTok.text
+
+	var params []*ParameterNode
+	for {
+		if !p.consume(tokenKindID) {
+			break
+		}
+		params = append(params, &ParameterNode{
+			ID:  p.lastTok.text,
+			Pos: p.lastTok.pos,
+		})
+	}
+
+	return &DirectiveNode{
+		Name:       name,
+		Parameters: params,
+		Pos:        mdPos,
+	}
+}
+
 func (p *parser) parseFragment() *FragmentNode {
 	defer func() {
 		err := recover()
diff --git a/spec/parser_test.go b/spec/parser_test.go
index 29d9051..4821562 100644
--- a/spec/parser_test.go
+++ b/spec/parser_test.go
@@ -8,6 +8,18 @@ import (
 )
 
 func TestParse(t *testing.T) {
+	leftAssoc := func(params ...*ParameterNode) *DirectiveNode {
+		return &DirectiveNode{
+			Name:       "left",
+			Parameters: params,
+		}
+	}
+	rightAssoc := func(params ...*ParameterNode) *DirectiveNode {
+		return &DirectiveNode{
+			Name:       "right",
+			Parameters: params,
+		}
+	}
 	prod := func(lhs string, alts ...*AlternativeNode) *ProductionNode {
 		return &ProductionNode{
 			LHS: lhs,
@@ -537,6 +549,80 @@ fragment number: "[0-9]";
 				},
 			},
 		},
+		{
+			caption: "a grammar can contain left and right associativities",
+			src: `
+%left l1 l2
+%left l3
+%right r1 r2
+%right r3
+
+s
+    : id l1 id l2 id l3 id
+    | id r1 id r2 id r3 id
+    ;
+
+whitespaces: "[\u{0009}\u{0020}]+" #skip;
+l1: 'l1';
+l2: 'l2';
+l3: 'l3';
+r1: 'r1';
+r2: 'r2';
+r3: 'r3';
+id: "[A-Za-z0-9_]+";
+`,
+			ast: &RootNode{
+				MetaData: []*DirectiveNode{
+					withDirPos(
+						leftAssoc(
+							withParamPos(idParam("l1"), newPosition(2)),
+							withParamPos(idParam("l2"), newPosition(2)),
+						),
+						newPosition(2),
+					),
+					withDirPos(
+						leftAssoc(
+							withParamPos(idParam("l3"), newPosition(3)),
+						),
+						newPosition(3),
+					),
+					withDirPos(
+						rightAssoc(
+							withParamPos(idParam("r1"), newPosition(4)),
+							withParamPos(idParam("r2"), newPosition(4)),
+						),
+						newPosition(4),
+					),
+					withDirPos(
+						rightAssoc(
+							withParamPos(idParam("r3"), newPosition(5)),
+						),
+						newPosition(5),
+					),
+				},
+				Productions: []*ProductionNode{
+					prod("s",
+						alt(id(`id`), id(`l1`), id(`id`), id(`l2`), id(`id`), id(`l3`), id(`id`)),
+						alt(id(`id`), id(`r1`), id(`id`), id(`r2`), id(`id`), id(`r3`), id(`id`)),
+					),
+				},
+				LexProductions: []*ProductionNode{
+					prod("whitespaces",
+						withAltDir(
+							alt(pat(`[\u{0009}\u{0020}]+`)),
+							dir("skip"),
+						),
+					),
+					prod("l1", alt(pat(`l1`))),
+					prod("l2", alt(pat(`l2`))),
+					prod("l3", alt(pat(`l3`))),
+					prod("r1", alt(pat(`r1`))),
+					prod("r2", alt(pat(`r2`))),
+					prod("r3", alt(pat(`r3`))),
+					prod("id", alt(pat(`[A-Za-z0-9_]+`))),
+				},
+			},
+		},
 	}
 	for _, tt := range tests {
 		t.Run(tt.caption, func(t *testing.T) {
@@ -571,6 +657,12 @@ func testRootNode(t *testing.T, root, expected *RootNode, checkPosition bool) {
 	if len(root.Productions) != len(expected.Productions) {
 		t.Fatalf("unexpected length of productions; want: %v, got: %v", len(expected.Productions), len(root.Productions))
 	}
+	if len(root.MetaData) != len(expected.MetaData) {
+		t.Fatalf("unexpected length of meta data; want: %v, got: %v", len(expected.MetaData), len(root.MetaData))
+	}
+	for i, md := range root.MetaData {
+		testDirective(t, md, expected.MetaData[i], true)
+	}
 	for i, prod := range root.Productions {
 		testProductionNode(t, prod, expected.Productions[i], checkPosition)
 	}