alexwebgr's solution to Luhn on the Ruby track

Instructions

Test suite

Solution

Given a number determine whether or not it is valid per the Luhn formula.

The Luhn algorithm is a simple checksum formula used to validate a variety of identification numbers, such as credit card numbers and Canadian Social Insurance Numbers.

The task is to check if a given string is valid.

Validating a Number

Strings of length 1 or less are not valid. Spaces are allowed in the input, but they should be stripped before checking. All other non-digit characters are disallowed.

Example 1: valid credit card number

4539 1488 0343 6467

The first step of the Luhn algorithm is to double every second digit, starting from the right. We will be doubling

4_3_ 1_8_ 0_4_ 6_6_

If doubling the number results in a number greater than 9 then subtract 9 from the product. The results of our doubling:

8569 2478 0383 3437

Then sum all of the digits:

8+5+6+9+2+4+7+8+0+3+8+3+3+4+3+7 = 80

If the sum is evenly divisible by 10, then the number is valid. This number is valid!

Example 2: invalid credit card number

8273 1232 7352 0569

Double the second digits, starting from the right

7253 2262 5312 0539

Sum the digits

7+2+5+3+2+2+6+2+5+3+1+2+0+5+3+9 = 57

57 is not evenly divisible by 10, so this number is not valid.

For installation and learning resources, refer to the Ruby resources page.

For running the tests provided, you will need the Minitest gem. Open a terminal window and run the following command to install minitest:

gem install minitest

If you would like color output, you can require 'minitest/pride' in the test file, or note the alternative instruction, below, for running the test file.

Run the tests from the exercise directory using the following command:

ruby luhn_test.rb

To include color from the command line:

ruby -r minitest/pride luhn_test.rb

Source

The Luhn Algorithm on Wikipedia http://en.wikipedia.org/wiki/Luhn_algorithm

Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.

luhn_test.rb

require 'minitest/autorun'
require_relative 'luhn'

# Common test data version: 1.4.0 4a80663
class LuhnTest < Minitest::Test
  def test_single_digit_strings_can_not_be_valid
    # skip
    refute Luhn.valid?("1")
  end

  def test_a_single_zero_is_invalid
    skip
    refute Luhn.valid?("0")
  end

  def test_a_simple_valid_sin_that_remains_valid_if_reversed
    skip
    assert Luhn.valid?("059")
  end

  def test_a_simple_valid_sin_that_becomes_invalid_if_reversed
    skip
    assert Luhn.valid?("59")
  end

  def test_a_valid_canadian_sin
    skip
    assert Luhn.valid?("055 444 285")
  end

  def test_invalid_canadian_sin
    skip
    refute Luhn.valid?("055 444 286")
  end

  def test_invalid_credit_card
    skip
    refute Luhn.valid?("8273 1232 7352 0569")
  end

  def test_valid_number_with_an_even_number_of_digits
    skip
    assert Luhn.valid?("095 245 88")
  end

  def test_valid_strings_with_a_non_digit_included_become_invalid
    skip
    refute Luhn.valid?("055a 444 285")
  end

  def test_valid_strings_with_a_non_digit_added_at_the_end_become_invalid
    skip
    refute Luhn.valid?("059a")
  end

  def test_valid_strings_with_punctuation_included_become_invalid
    skip
    refute Luhn.valid?("055-444-285")
  end

  def test_valid_strings_with_symbols_included_become_invalid
    skip
    refute Luhn.valid?("055£ 444$ 285")
  end

  def test_single_zero_with_space_is_invalid
    skip
    refute Luhn.valid?(" 0")
  end

  def test_more_than_a_single_zero_is_valid
    skip
    assert Luhn.valid?("0000 0")
  end

  def test_input_digit_9_is_correctly_converted_to_output_digit_9
    skip
    assert Luhn.valid?("091")
  end

  def test_strings_with_non_digits_is_invalid
    skip
    refute Luhn.valid?(":9")
  end
end

class Luhn
  THRESHOLD = 9

  def self.valid?(candidate)
    new(candidate).valid?
  end

  private

  attr_reader :candidate

  def initialize(candidate)
    @candidate = candidate
  end

  def add_em_up
    digits = candidate.scan(/[\d+]/)
    digits.reverse.map.with_index { |digit, index| index.odd? ? doubler(digit.to_i) : digit.to_i }.sum
  end

  def doubler(digit)
    product = digit * 2
    product -= THRESHOLD if above_threshold?(product)

    product
  end

  def above_threshold?(product)
    product > THRESHOLD
  end

  public

  def valid?
    return false if candidate.delete(' ').length <= 1
    return false if candidate.match(/[^0-9 ]/)

    (add_em_up % 10).zero?
  end
end

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alexwebgr's solution

to Luhn in the Ruby Track