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Javascript RPN Scientific Calculator
A Reverse Polish Notation (RPN) calculator is a specialized
calculator that uses a unique method for inputting and processing mathematical
expressions. In RPN, operators follow their operands, which can be more
efficient for both human and computer use. Here's how a typical RPN calculator
works.
Input: Instead of the traditional infix notation -e.g., 3 +
4- RPN calculators use postfix notation -e.g., 3 4 +-. Users enter numbers and
operators one at a time, with operators coming after their operands.
Stack Based Processing RPN calculators typically employ a
stack data structure to process the input. When a number is entered, it's
pushed onto the stack. When an operator is entered, it's applied to the top
elements of the stack, and the result is pushed back onto the stack.
Example For the expression -3 4 +- the RPN calculator would
push 3, then 4 onto the stack. When it encounters -+- it pops the top two
elements (4 and 3), adds them together, and pushes the result -7- back onto the
stack.
Continuous Entry Users can continue entering numbers and
operators in a linear fashion, and the calculator will maintain the correct
order of operations.
Efficiency RPN calculators can be more efficient in terms of
memory and processing as they don't require parentheses or operator precedence
rules to be explicitly defined.
Error Handling Good RPN calculators include error handling
to deal with invalid expressions and prevent crashes.
Popular examples of RPN calculators include Hewlett Packard's
HP 12C and HP 15C calculators. These calculators are favored in specific fields
like finance and engineering due to their efficiency and consistency in
handling complex calculations. RPN calculators can also be implemented as
software applications, making them accessible on various devices for those who
prefer this unique notation.
Input: Instead of the traditional infix notation -e.g., 3 + 4- RPN calculators use postfix notation -e.g., 3 4 +-. Users enter numbers and operators one at a time, with operators coming after their operands.
Stack Based Processing RPN calculators typically employ a stack data structure to process the input. When a number is entered, it's pushed onto the stack. When an operator is entered, it's applied to the top elements of the stack, and the result is pushed back onto the stack.
Example For the expression -3 4 +- the RPN calculator would push 3, then 4 onto the stack. When it encounters -+- it pops the top two elements (4 and 3), adds them together, and pushes the result -7- back onto the stack.
Continuous Entry Users can continue entering numbers and operators in a linear fashion, and the calculator will maintain the correct order of operations.
Efficiency RPN calculators can be more efficient in terms of memory and processing as they don't require parentheses or operator precedence rules to be explicitly defined.
Error Handling Good RPN calculators include error handling to deal with invalid expressions and prevent crashes.
Popular examples of RPN calculators include Hewlett Packard's HP 12C and HP 15C calculators. These calculators are favored in specific fields like finance and engineering due to their efficiency and consistency in handling complex calculations. RPN calculators can also be implemented as software applications, making them accessible on various devices for those who prefer this unique notation.
