Announcements. Working in pairs is only allowed for programming assignments and not for homework problems. H3 has been posted
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1 Announcements Working in pairs is only allowed for programming assignments and not for homework problems H3 has been posted 1
2 Syntax Directed 2
3 CFGs so Far CFGs for Language Defini&on The CFGs we ve discussed can generate/define languages of valid strings So far, we start by building a parse tree and end with some valid string CFGs for Language Recogni&on Start with a string and end with a parse tree for it 3
4 CFGs for Parsing Language isn t enough for a parser We also want to translate the sequence Parsing is a special case of Syntax- Directed Transla&on Translate a sequence of tokens o a sequence of ac@ons 4
5 Syntax Directed Augment CFG rules with rules (at least 1 per produc@on) Define transla@on of LHS nonterminal as func@on of Constants RHS nonterminal transla@ons RHS terminal value Assign rules bopom- up 5
6 SDT Example CFG Rules B - > 0 B.trans = 0 1 B.trans = 1 B 0 B.trans = B 2.trans * 2 B 1 B.trans = B 2.trans * Input string B 11 B 0 Transla4on is the value of the input 1 2 B 5 B B
7 SDT Example 2: CFG Rules DList ε DList.trans = DList Decl DList.trans = Decl.trans + + DList 2.trans Decl Type id Decl.trans = id.value Type bool yy xx DList Transla4on is a String of ids Input string xx; bool yy; xx DList yy Decl DList xx Decl Type id ε Type id bool 7
8 Exercise Time Only add of type to the output String. Augment the previous grammar: CFG Rules DList ε DList.trans = DList Decl DList.trans = Decl.trans + + DList 2.trans Decl Type id ; Decl.trans = id.value Type bool Different nonterms can have different types Rules can have condi4onals 8
9 SDT Example 2b: s only CFG Rules DList ε DList.trans = Decl DList DList.trans = Decl.trans + + DList 2.trans Decl Type id ; if (Type.trans) {Decl.trans = id.value} else {Decl.trans = } Type Type.trans = true bool Type.trans = false Input string xx; bool yy; xx DList xx DList Transla4on is a String of ids only Decl Different nonterms can have different types Rules can have condi4onals DList ε true xx Type Decl id false Type bool id 9
10 SDT for Parsing In the previous examples, the SDT process assigned different types to the Example 1: tokenized stream to an eger value Example 2: tokenized stream to a (java) String For parsing, we ll go from tokens to an Abstract- Syntax Tree (AST) 10
11 Abstract Syntax Trees A condensed form of the parse tree Operators at ernal nodes (not leaves) Chains of produc@ons are collapsed Syntac@c details omiped Example: (5+2)*8 ( add Expr Term Term * Factor Factor Expr mult ) Parse Tree lit (8) (8) mult Expr + Term (5) add (2) (8) (5) Term Factor lit (5) Factor lit (2) (2) 11
12 Exercise #2 Show the AST for: (1 + 2) * (3 + 4) * Expr - > Expr + Term Term Term - > Term * Factor Factor Factor - > lit ( Expr ) 12
13 AST for Parsing In previous slides we did our in two steps Structure the stream of tokens o a parse tree Use the parse tree to build an abstract syntax tree, throw away the parse tree In prac@ce, we will combine these o 1 step Ques@on: Why do we even need an AST? More of a logical view of the program Generally easier to work with 13
14 AST How do we actually represent an AST in code? We ll take from how we represented tokens in JLex 14
15 ASTs in Code Note that we ve assumed a field- like structure in our SDT ac@ons: DList.trans = Decl.trans + + DList 2.trans In our parser, we ll define classes for each type of nonterminal, and create a new nonterminal in each rule. In the above rule we might represent DList as public class DList{ public String trans; } For ASTs: when we execute an SDT rule we construct a new node object for the RHS propagate its fields with the fields of the LHS nodes 15
16 Thinking about ASTs Consider the AST for a simple language of Expressions Input Parse Tree Expr Tokeniza4on lit plus lit AST Naïve AST Implementa4on class PlusNode IntNode left; IntNode right; } Expr Term plus Term Factor class IntNode{ value; } Factor lit 1 lit 2 16
17 Thinking about ASTs Consider AST node classes We d like the classes to have a common inheritance tree AST Naïve AST Implementa4on class PlusNode { IntNode left; IntNode right; } Naïve java AST PlusNode IntNode lea: IntNode right: class IntNode { value; } IntNode value: IntNode 1 value: 2 17
18 Thinking about ASTs Consider AST node classes We d like the classes to have a common inheritance tree AST Naïve AST Implementa4on class PlusNode { IntNode left; IntNode right; } Beder java AST PlusNode ExpNode lea: ExpNode right: Make these extend ExpNode class IntNode { value; } IntNode value: IntNode 1 value: 2 18
19 ASTs for Expressions CFG Expr - > Expr + Term Term Term - > Term * Factor Factor Factor - > lit ( Expr ) Transla4on Rules Expr1.trans = new PlusNode(Expr2.trans, Term.trans) Expr.trans = Term.trans Term1.trans = new TimesNode(Term2.trans, Factor.trans) Term.trans = Factor.trans Factor.trans = new IntNode(lit.value) Factor.trans = Expr.trans Example: Expr Expr plus Term PlusNode ExpNode lea: ExpNode right: Term Factor Factor lit 1 lit 2 IntNode IntNode value: value:
20 An AST for a code snippet FuncBody void foo( x, y){ if (x == y){ return; } while ( x < y){ cout << hello ; x = x + 1; } } if while return == return < pr = x y x y hello x + x 1 20
21 Summary (1 of 2) Today we learned about Syntax- Directed (SDT) Consumes a parse tree with ac@ons Ac@ons yield some result Abstract Syntax Trees (ASTs) The result of SDT for parsing in a compiler Some prac@cal examples of ASTs 21
22 Summary (2 of 2) Scanner Language abstrac4on: RegEx Output: Token Stream Tool: JLex Implementa4on: DFA walking via table Parser Language abstrac4on: CFG Output: AST by way of Parse Tree Tool: Java CUP Implementa4on:??? Next 4me Next week 22
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