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Discuss with example quadruple, triple and indirect triple.

Mumbai University > Computer Engineering > Sem6 > System Programming and Compiler Construction

Marks: 10M

Year: May 2015

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  • Intermediate code Generation phase takes as input parse tree representation and generates an intermediate representation.

  • So that the translation process can be done faster.

  • Program that performs ICG is called Intermediate code Generation.

  • While translating a source program into a functionally equivalent object code representation, a parser may first generate an intermediate representation.

  • This makes retargeting of the code possible and allows some optimizations to be carried out that would otherwise not be possible.

    The following are commonly used intermediate representations:

    • Postfix notation
    • Syntax tree
    • Three-address code

    1. Postfix notation

    • In postfix notation, the operator follows the operand. For example, in the expression ( a ˆ’ b ) * ( c + d ) + ( a ˆ’ b ), the postfix representation is:

    $$\text{Ab – Cd * Ab - +}$$

    2. Syntax tree

    • The syntax tree is nothing more than a condensed form of the parse tree. The operator and keyword nodes of the parse tree are moved to their parent, and a chain of single productions is replaced by single link.

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3. Three-address code

  • Three address code is a sequence of statements of the form x = y op z. Since a statement involves no more than three references, it is called a "three-address statement," and a sequence of such statements is referred to as three-address code.
  • For example, the three-address code for the expression a + b * c + d is:

$$T1 = B * C \\ T2 = A + T2 \\ T3 = T3 + D$$

  • Sometimes a statement might contain less than three references; but it is still called a three-address statement.

  • The following are the three-address statements used to represent various programming language constructs:

  • Used for representing arithmetic expressions:

$$ X = Y \ op \ Z \\ X = \ \ op \ Y \\ X = Y $$

  • Used for representing Boolean expressions:

$$If A \gt B \ \ goto L \\ goto \ \ L \ \ $$

  • Used for representing array references and dereferencing operations:

$$x = y[i] \\ x[i] = y \\ x = ^*y \\ ^* x = y$$

  • Used for representing a procedure call:

$$Param \ \ T \\ Call \ \ p,n$$

  • Representation of three address code

    • Records with fields for the operators and operands can be used to represent three-address statements.

    • It is possible to use a record structure with four fields: the first holds the operator, the next two hold the operand1 and operand2, respectively, and the last one holds the result.

    • This representation of a three-address statement is called a "quadruple representation".

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2. Triple Representation

  • The contents of the operand1, operand2, and result fields are therefore normally the pointers to the symbol records for the names represented by these fields.

  • Hence, it becomes necessary to enter temporary names into the symbol table as they are created.

  • This can be avoided by using the position of the statement to refer to a temporary value.

  • If this is done, then a record structure with three fields is enough to represent the three-address statements:

  • The first holds the operator value, and the next two holding values for the operand1 and operand2, respectively. Such a representation is called a "triple representation".

  • The contents of the operand1 and operand2 fields are either pointers to the symbol table records, or they are pointers to records (for temporary names) within the triple representation itself.

  • For example, a triple representation of the three-address code for the statement x = (a + b)* ˆ’ c/d.

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3. Indirect Triple Representation

  • Another representation uses an additional array to list the pointers to the triples in the desired order.

  • This is called an indirect triple representation. For example, a triple representation of the three-address code for the statement x = ( a + b )* ˆ’ c/d

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Comparison

  • By using quadruples, we can move a statement that computes A without requiring any changes in the statements using A, because the result field is explicit.
  • However, in a triple representation, if we want to move a statement that defines a temporary value, then we must change all of the pointers in the operand1 and operand2 fields of the records in which this temporary value is used.
  • Thus, quadruple representation is easier to work with when using an optimizing compiler, which entails a lot of code movement.
  • Indirect triple representation presents no such problems, because a separate list of pointers to the triple structure is maintained.
  • When statements are moved, this list is reordered, and no change in the triple structure is necessary; hence, the utility of indirect triples is almost the same as that of quadruples.
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