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In the realm of programming, understanding the rules governing operator precedence and associativity is crucial. While many programming textbooks present charts showcasing operator precedence and associativity, the underlying question remains: who defines these rules?
Contrary to popular belief, the ANSI C11 standard does not explicitly define operator precedence and associativity. Instead, these concepts are embedded within the grammar of the language itself. For instance, the grammar production rule for addition ( ) and subtraction (-) in C reveals that a multiplicative expression is a subrule of an additive expression. This establishes the precedence between these operators.
Associativity determines how multiple uses of the same operator will be grouped. For example, the addition operator is left-to-right associative, meaning expressions like "x y z" will be grouped as "(x y) z."
It is important to differentiate associativity from order of evaluation. While these concepts are related, they are distinct. Associativity dictates grouping, while order of evaluation pertains to the sequence in which expressions are evaluated.
Returning to the example of function call operators, left-to-right associativity implies that "f()()()" would be grouped as "(f())()." This grouping rule does not impact the order of function evaluation, which remains unsequenced. However, operands must be evaluated before the operator is applied.
Historically, sequence points were used to define evaluation order in C and C . However, the terminology has since changed to "sequenced before." This concept signifies that the evaluation of one expression must precede another.
In summary, while operator precedence and associativity tables are commonly found in programming textbooks, these rules are ultimately derived from the language's grammar. Understanding the grammar enables programmers to accurately interpret expressions and determine their evaluation order.
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