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Introduction: This notation is called postfix because the rule is "operator after operand s ". Parentheses are not needed. The notation we normally use is called infix. In that case, we can construct an SDT in which each action is placed at the end of the production and is executed along with the reduction of the body to the head of that production. The remaining actions are exact counterparts of the semantic rules. Since the underlying grammar is LR, and the SDD is S-attributed, these actions can be correctly performed along with the reduction steps of the parser.
The attribute s of each grammar symbol can be put on the stack in a place where they can be found during the reduction. The best plan is to place the attributes along with the grammar symbols or the LR states that represent these symbols in records on the stack itself. In Fig. Here, we show X. In general, we can allow for more attributes, either by making the records large enough or by putting pointers to records on the stack.
With small attributes, it may be simpler to make the records large enough, even if some fields go unused some of the time. However, if one or more attributes are of unbounded size � say, they are character strings � then it would be better to put a pointer to the attribute's value in the stack record and store the actual value in some larger, shared storage area that is not part of the stack.
If the attributes are all synthesized, and the actions occur at the ends of the productions, then we can compute the attributes for the head when we reduce the body to the head. After the action, A and its attributes are at the top of the stack, in the position of the record for X.
Example: Let us rewrite the actions of the desk-calculator SDT of Example 1 so that they manipulate the parser stack explicitly. Such stack manipulation is usually done automatically by the parser. Suppose that the stack is kept in an array of records called stack, with top a cursor to the top of the stack. Thus, stack[top] refers to the top record on the stack, stack[top � 1] to the record below that, and so on.
Also, we assume that each record has a field called val, which holds the attribute of whatever grammar symbol is represented in that record. Thus, we may refer to the attribute E.
The entire SDT is shown in Fig. The resulting sum is placed where the head E will appear after the reduction, that is, two positions below the current top. The reason is that after the reduction, the three topmost stack symbols are replaced by one. After computing E.
Although the value does not change, two positions are removed from the stack during the reduction, so the value has to move to the position after the reduction.
Note that we have omitted the steps that manipulate the first field of the stack records � the field that gives the LR state or otherwise represents the grammar symbol. If we are performing an LR parse, the parsing table tells us what the new state is every time we reduce; see Algorithm 4.
Thus, we may simply place that state in the record for the new top of stack. Branch : Computer Science and Engineering.
Subject : Compiler design. Unit : Basic Parsing Techniques. Postfix Translation Schemes. Previous Next. Questions of this topic. Ask your question. Your Name. Submit Question.
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