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  2. Shunting yard algorithm - Wikipedia

    en.wikipedia.org/wiki/Shunting_yard_algorithm

    */ /* This implementation does not implement composite functions, functions with a variable number of arguments, or unary operators. */ while there are tokens to be read: read a token if the token is: - a number: put it into the output queue - a function: push it onto the operator stack - an operator o 1: while ( there is an operator o 2 at the ...

  3. Calculator input methods - Wikipedia

    en.wikipedia.org/wiki/Calculator_input_methods

    In reverse Polish notation, [7] also known as postfix notation, all operations are entered after the operands on which the operation is performed. Reverse Polish notation is parenthesis-free, which usually leads to fewer button presses needed to perform an operation. By the use of a stack, one can enter formulas without the need to rearrange ...

  4. Reverse Polish notation - Wikipedia

    en.wikipedia.org/wiki/Reverse_Polish_notation

    Video: Keys pressed for calculating eight times six on a HP-32SII (employing RPN) from 1991. Reverse Polish notation (RPN), also known as reverse Ɓukasiewicz notation, Polish postfix notation or simply postfix notation, is a mathematical notation in which operators follow their operands, in contrast to prefix or Polish notation (PN), in which operators precede their operands.

  5. 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).

  6. Binary expression tree - Wikipedia

    en.wikipedia.org/wiki/Binary_expression_tree

    Stack growing from left to right. The next symbol is a '+'. It pops the two pointers to the trees, a new tree is formed, and a pointer to it is pushed onto the stack. Formation of a new tree. Next, c, d, and e are read. A one-node tree is created for each and a pointer to the corresponding tree is pushed onto the stack. Creating a one-node tree

  7. Stack-oriented programming - Wikipedia

    en.wikipedia.org/wiki/Stack-oriented_programming

    Most stack-oriented languages operate in postfix or Reverse Polish notation: arguments or parameters for a command are listed before that command. For example, postfix notation would be written 2, 3, multiply instead of multiply, 2, 3 (prefix or Polish notation), or 2 multiply 3 (infix notation).

  8. Infix notation - Wikipedia

    en.wikipedia.org/wiki/Infix_notation

    Infix notation is the notation commonly used in arithmetical and logical formulae and statements. It is characterized by the placement of operators between operands —"infixed operators"—such as the plus sign in 2 + 2 .

  9. Common operator notation - Wikipedia

    en.wikipedia.org/wiki/Common_operator_notation

    A postfix operator immediately succeeds its operand, as in x! for instance. An infix operator is positioned in between a left and a right operand, as in x+y. Some languages, most notably the C-syntax family, stretches this conventional terminology and speaks also of ternary infix operators (a?b:c). Theoretically it would even be possible (but ...