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Created April 21, 2014 18:39
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rpn_calculator
class RPNCalculator
attr_accessor :calculator
def initialize
@calculator = []
end
def push(x)
@calculator << x
end
def value
@calculator.last
end
def plus
if @calculator.size >= 2
sum = @calculator.pop + @calculator.pop
@calculator << sum
else
raise "calculator is empty"
end
end
def minus
if @calculator.size >= 2
second = @calculator.pop
first = @calculator.pop
minus = first - second
@calculator << minus
else
raise "calculator is empty"
end
end
def divide
if @calculator.size >= 2
second = @calculator.pop.to_f
first = @calculator.pop.to_f
division = first / second
@calculator << division
else
raise "calculator is empty"
end
end
def times
if @calculator.size >= 2
second = @calculator.pop.to_f
first = @calculator.pop.to_f
multiply = first * second
@calculator << multiply
else
raise "calculator is empty"
end
end
def tokens(array)
new = array.split(" ")
new.collect do |x|
if ( x == "+" || x == "-" || x == "*" || x == "/")
x.to_sym
else
x.to_i
end
end
end
end
# # Topics
# * arrays
# * arithmetic
# * strings
#
# # RPN Calculator
#
# "RPN" stands for "Reverse Polish Notation". (See [the wikipedia entry](http://en.wikipedia.org/wiki/Reverse_Polish_notation) for more information on this colorful term.) Briefly, in an RPN world, instead of using normal "infix" notation, e.g.
#
# 2 + 2
#
# you use "postfix" notation, e.g.
#
# 2 2 +
#
# While this may seem bizarre, there are some advantages to doing things this way. For one, you never need to use parentheses, since there is never any ambiguity as to what order to perform operations in. The rule is, you always go from the back, or the left side.
#
# 1 + 2 * 3 =>
# (1 + 2) * 3 or
# 1 + (2 * 3)
#
# 1 2 + 3 * => (1 + 2) * 3
# 1 2 3 * + => 1 + (2 * 3)
#
# Another advantage is that you can represent any mathematical formula using a simple and elegant data structure, called a [stack](http://en.wikipedia.org/wiki/Stack_(data_structure)).
#
# # Hints
#
# Ruby doesn't have a built-in stack, but the standard Array has all the methods you need to emulate one (namely, `push` and `pop`, and optionally `size`).
#
# See
# * <http://en.wikipedia.org/wiki/Reverse_Polish_notation>
# * <http://www.calculator.org/rpn.aspx>
#
require "rpn_calculator"
describe RPNCalculator do
attr_accessor :calculator
before do
@calculator = RPNCalculator.new
end
it "adds two numbers" do
calculator.push(2)
calculator.push(3)
calculator.plus
calculator.value.should == 5
end
it "adds three numbers" do
calculator.push(2)
calculator.push(3)
calculator.push(4)
calculator.plus
calculator.value.should == 7
calculator.plus
calculator.value.should == 9
end
it "subtracts the second number from the first number" do
calculator.push(2)
calculator.push(3)
calculator.minus
calculator.value.should == -1
end
it "adds and subtracts" do
calculator.push(2)
calculator.push(3)
calculator.push(4)
calculator.minus
calculator.value.should == -1
calculator.plus
calculator.value.should == 1
end
it "multiplies and divides" do
calculator.push(2)
calculator.push(3)
calculator.push(4)
calculator.divide
calculator.value.should == (3.0 / 4.0)
calculator.times
calculator.value.should == 2.0 * (3.0 / 4.0)
end
it "resolves operator precedence unambiguously" do
# 1 2 + 3 * => (1 + 2) * 3
calculator.push(1)
calculator.push(2)
calculator.plus
calculator.push(3)
calculator.times
calculator.value.should == (1+2)*3
# 1 2 3 * + => 1 + (2 * 3)
calculator.push(1)
calculator.push(2)
calculator.push(3)
calculator.times
calculator.plus
calculator.value.should == 1+(2*3)
end
it "fails informatively when there's not enough values stacked away" do
expect {
calculator.plus
}.to raise_error("calculator is empty")
expect {
calculator.minus
}.to raise_error("calculator is empty")
expect {
calculator.times
}.to raise_error("calculator is empty")
expect {
calculator.divide
}.to raise_error("calculator is empty")
end
# extra credit
it "tokenizes a string" do
calculator.tokens("1 2 3 * + 4 5 - /").should ==
[1, 2, 3, :*, :+, 4, 5, :-, :/]
end
# extra credit
xit "evaluates a string" do
calculator.evaluate("1 2 3 * +").should ==
((2 * 3) + 1)
calculator.evaluate("4 5 -").should ==
(4 - 5)
calculator.evaluate("2 3 /").should ==
(2.0 / 3.0)
calculator.evaluate("1 2 3 * + 4 5 - /").should ==
(1.0 + (2 * 3)) / (4 - 5)
end
end
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