To develop a compiler phase that converts a given infix arithmetic expression into:
- Postfix notation (Reverse Polish Notation),
- Quadruples (Intermediate Code Representation),
- Three-Address / Machine Code.
This program simulates the backend phase of a compiler, which is responsible for generating intermediate and target code from a high-level expression. It performs:
- Conversion from infix to postfix using operator precedence and a stack.
- Generation of quadruples, a standard intermediate representation in compilers using temporary variables.
- Creation of Three-Address Code (TAC) or Machine code-like instructions for arithmetic operations.
This process mirrors how a real compiler breaks down high-level arithmetic into machine-executable code.
-
Infix to Postfix Conversion:
- Use a stack to manage operators and apply precedence rules to form the postfix expression.
-
Quadruple Generation:
- Traverse the postfix expression.
- For each operator, pop the top two operands, apply the operation, and store the result in a temporary variable
t1, t2....
-
Three-Address Code (TAC) / Machine Code Generation:
- For each operation, generate equivalent low-level instructions:
- Use
MOV,ADD,MUL, andPOWinstructions for computation. - Results are stored in temporaries and finally assigned to a variable
a.
- Use
- For each operation, generate equivalent low-level instructions:
Input an expression: a+b*cPostfix Expression: abc*+
Quadruples:
(+, a, t1, t2)
(*, b, c, t1)
Three-Address Code/Machine Code:
MOV b, R0
MUL c, R0
MOV R0, t1
MOV a, R0
ADD t1, R0
MOV R0, t2
MOV t2, a- Compiler Construction: Forms the core of backend phases in compilers like GCC or Clang.
- Virtual Machines: Used in interpreters like Python (CPython) or JVM to generate bytecode.
- Code Optimisation Tools: Intermediate representations, such as quadruples, are used for optimisation passes.
- Static Analysis Tools: These tools utilise such representations to detect bugs, inefficiencies, or vulnerabilities.