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  2. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    Many programmers have become accustomed to this order, but more recent popular languages like Python [43] and Ruby [44] do have this order reversed. The relative precedence levels of operators found in many C-style languages are as follows:

  3. Operator associativity - Wikipedia

    en.wikipedia.org/wiki/Operator_associativity

    The associativity and precedence of an operator is a part of the definition of the programming language; different programming languages may have different associativity and precedence for the same type of operator. Consider the expression a ~ b ~ c. If the operator ~ has left associativity, this expression would be interpreted as (a ~ b) ~ c.

  4. Operator-precedence parser - Wikipedia

    en.wikipedia.org/wiki/Operator-precedence_parser

    In computer science, an operator-precedence parser is a bottom-up parser that interprets an operator-precedence grammar.For example, most calculators use operator-precedence parsers to convert from the human-readable infix notation relying on order of operations to a format that is optimized for evaluation such as Reverse Polish notation (RPN).

  5. Shift-reduce parser - Wikipedia

    en.wikipedia.org/wiki/Shift-Reduce_Parser

    Operator-precedence parser, a very simple numerical method that works for expressions but not general program syntax. Simple precedence parser, uses one large MxN table to find right and left ends. Used in PL360. [5] Does not handle common programming languages. Weak precedence parser, uses the precedence table only to find handles' right ends.

  6. Common operator notation - Wikipedia

    en.wikipedia.org/wiki/Common_operator_notation

    The operator precedence is a number (from high to low or vice versa) that defines which operator takes an operand that is surrounded by two operators of different precedence (or priority). Multiplication normally has higher precedence than addition, [ 1 ] for example, so 3+4×5 = 3+(4×5) ≠ (3+4)×5.

  7. Operator-precedence grammar - Wikipedia

    en.wikipedia.org/wiki/Operator-precedence_grammar

    An operator precedence parser usually does not store the precedence table with the relations, which can get rather large. Instead, precedence functions f and g are defined. [ 7 ] They map terminal symbols to integers, and so the precedence relations between the symbols are implemented by numerical comparison: ⁠ f ( a ) < g ( b ...

  8. Shunting yard algorithm - Wikipedia

    en.wikipedia.org/wiki/Shunting_yard_algorithm

    If the symbol is an operator, it is pushed onto the operator stack b), d), f). If the operator's precedence is lower than that of the operators at the top of the stack or the precedences are equal and the operator is left associative, then that operator is popped off the stack and added to the output g).

  9. APL syntax and symbols - Wikipedia

    en.wikipedia.org/wiki/APL_syntax_and_symbols

    In APL the precedence hierarchy for functions or operators is strictly positional: expressions are evaluated right-to-left. APL does not follow the usual operator precedence of other programming languages; for example, × does not bind its operands any more "tightly" than +. Instead of operator precedence, APL defines a notion of scope.