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Informatik IExercise session 11Autumn 2019
Use case
Reverse polish notation calculator.
A calculator with a stack.
1
Reverse polish notation (RPN) calculator
Supported operationspush(value) push a value on top of the stackpop() pop and display value on top of stackadd(), subtract(), multiply(), divide() basic arithmeticbinary operations: pop values v2 and v1 from stack andpush v2 op v1
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Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24
8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38
5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
24
multiply()24 8
push(5)58
push(1) 158
add() 158
68
push(2) 268
divide() 268
38
substract()38 5
pop()
3
Reverse polish notation (RPN) calculator
(4 · 2)− (5 + 1)/2 = 5
4 2 * 5 1 + 2 / - =Commands:
value→ push(value)=→ pop()+, -, *, /→ add(), subtract(), multiply(), divide()
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Reverse polish notation (RPN) calculator
Implement the stack datastructure for the calculator.
5
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