Syntax Simple SemanticsWhat do we do while parsingWhat does a rule E ! E+T mean? (I)What does a rule E ! E+T mean? (II)What does a rule E ! E+T mean? (III)What else might a rule mean?Slide 7Building a parse treeSlide 9Building a more useful treeWhat kind of tree should we build for a MiniJava program?Abstract Syntax Tree Example. Here is a MJ program (BinarySearch.java)Abstract Syntax Tree Example. Here is a MJ parser OUTPUT (BinarySearch.java)This is really rather clumsy to look atJust as a previewProf. Fateman CS 164 Lecture 11 1Syntax Simple SemanticsLecture 11Prof. Fateman CS 164 Lecture 11 2What do we do while parsing•What semantic actions are plausible?–Mere recognition–Immediate execution–Generate Abstract Parse TreesProf. Fateman CS 164 Lecture 11 3What does a rule E E+T mean? (I)•E1 E0+T could mean “I will happily exchange my E, +, and T for an E, if it means I can determine if this input string is a sentence.”•(E E + T #’(lambda(E P T) ‘t))•in this model the result of parsing 3+4 is “true”Prof. Fateman CS 164 Lecture 11 4What does a rule E E+T mean? (II)•E1 E0+T could mean “E1 means: the result of taking whatever E0 means, and whatever T means, and adding them together.”•(E E + T #’(lambda(E P T)(+ E T)))•In this model, the result of parsing 3 + 4 is 7Prof. Fateman CS 164 Lecture 11 5What does a rule E E+T mean? (III)•E1 E0+T could mean “whatever E0 means, and whatever T means, make a tree of them with + at the root.”•(E E + T #’(lambda(E P T)(list ‘+ E T)))•In this model, parsing 3 + 4 produces (+ 3 4).•[this happens also to be a lisp program, but you could imagine some other tree structure, e.g. Tree{root=“plus”, left=Tree{root= “3” left=nil…, right=Tree{ ….} } ]Prof. Fateman CS 164 Lecture 11 6What else might a rule mean?•Arbitrary other semantics could be attached to a rule, to be applied when reducing E+T to E. •For example–If E0 and T are of type integer then E1 must also be of type integer•A rule typedeclare type id might set up some information in memory to help make sense of a program’s variables. In principle might not be in the tree.Prof. Fateman CS 164 Lecture 11 7What else might a rule mean?•We could have a grammar with augments that formatted mathematical formulas...–Fraction Num / Denom #’(lambda (N s D)(makevertpile N (hline (max (width N)(width D)) D))Prof. Fateman CS 164 Lecture 11 8Building a parse treeS E $E T EP EP ADDOP T EPEP ADDOP + | - T F TPTP MULOP F TPTP MULOP * | /F id | num | (E)Sample = id + id + num * ( num / num ) $Prof. Fateman CS 164 Lecture 11 9Building a parse tree;; (id + id + num * |(| num / num |)| $(S (E (T (F id) (TP)) (EP (addop +) (T (F id) (TP)) (EP (addop +) (T (F num) (TP (mulop *) (T (F |(| (E (T (F num) (TP (mulop /) (T (F num) (TP)) (TP))) (EP)) |)|) (TP)) (TP))) (EP)))) $)Prof. Fateman CS 164 Lecture 11 10Building a more useful tree;; (id + id + num * |(| num / num |)| $(+ id id (* num (/ num num))) ; recdec315s… just the terminals!!! instead of the clumsy previous tree(S (E (T (F id) (TP)) (EP (addop +) (T (F id) (TP)) (EP (addop +) …. ;; all these pointless reductions in treeProf. Fateman CS 164 Lecture 11 11What kind of tree should we build for a MiniJava program?•Cheap trick: a tree that is an equivalent Lisp program.•Cheap trick: a tree that if printed in infix order is a C program that could be compiled and run.•Really cheap trick: a Java program •More typical treatment: –A symbol table structure listing all the types, variables, functions (in all their different scopes)–With all the function bodies or other executable components defined as trees–Use above data to do type checking.Prof. Fateman CS 164 Lecture 11 12Abstract Syntax Tree Example. Here is a MJ program (BinarySearch.java)class BinarySearch{ public static void main(String[] a){System.out.println(new BS().Start(20)); }}// This class contains an array of integers and// methods to initialize, print and search the array// using Binary Searchclass BS{ int[] number ; int size ; // Invoke methods to initialize, print and search // for elements on the array public int Start(int sz){int aux01 ;int aux02 ;Prof. Fateman CS 164 Lecture 11 13Abstract Syntax Tree Example. Here is a MJ parser OUTPUT (BinarySearch.java)(Program ;; this has line numbers only, output of simple-;;lex, simple-parse (MainClass (id BinarySearch 1) (id a 2) (Print (Call (NewObject (id BS 3)) (id Start 3) (ExpList (IntegerLiteral 20))))) (ClassDecls (ClassDecl (id BS 10) (extends nil) (VarDecls (VarDecl IntArrayType (id number 11)) (VarDecl IntType (id size 12))) (MethodDecls (MethodDecl IntType (id Start 16) (Formals (Formal IntType (id sz 16))) (VarDecls (VarDecl IntType (id aux01 17)) ……Prof. Fateman CS 164 Lecture 11 14This is really rather clumsy to look at•But at least we can look at it without writing another program (not like Java).•We have removed line/column markers in many places, but left some in there so that we still can identify some errors by location.•The next pass can be like our CS61a analyzing meta-circular evaluator (remember that ?)Prof. Fateman CS 164 Lecture 11 15Just as a preview•If we see a binary arithmetic operator, we can hope to look up the declared types of the arguments to it (if ids). Or the computed types of the arguments to it (if expressions).•For more ambitious languages, a<b is legal when a comparison is valid (e.g. strings, floats, ints and floats, single and double). Or a+b makes sense when one or both are strings.•The primary issues: –knowing types of objects (in scopes..)–Knowing what’s legal to do with the
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