Expression Evaluation

Evaluating expressions is a fundamental task in programming. An expression consists of operands (such as variables or constants) and operators (such as +, *, %, etc.). The process of evaluation involves parsing the expression, determining the precedence and associativity of operators, and computing the result step by step.

Expressions can be:

  • Arithmetic (e.g., a + b * c)
  • Relational (e.g., a > b)
  • Logical (e.g., a && b)
  • Bitwise (e.g., a | b)
  • Ternary (e.g., (a > b) ? p : q)

Examples:

  1. Arithmetic:
    • Area = 1/2.0 * base * height (division and multiplication, floating point ensures correct calculation)
  2. Relational:
    • x > y (checks if x is greater than y)
  3. Logical:
    • a && b (true if both a and b are true)
  4. Bitwise:
    • a | b (bitwise OR operation)
  5. Ternary:
    • (a > b) ? p : q (returns p if a > b, else q)

Operator precedence and associativity determine the order in which operations are performed. Parentheses can be used to override default precedence and force evaluation of sub-expressions first. The following table shows the precedence order of operators:

To evaluate an expression:

  1. Parse the expression and identify operands and operators.
  2. Apply operator precedence and associativity rules.
  3. Compute the value step by step, solving sub-expressions as needed.

Understanding how expressions are evaluated is essential for writing correct and efficient code.