Avatar of paulfioravanti

paulfioravanti's solution

to Roman Numerals in the Elixir Track

Published at Aug 08 2019 · 0 comments
Instructions
Test suite
Solution

Write a function to convert from normal numbers to Roman Numerals.

The Romans were a clever bunch. They conquered most of Europe and ruled it for hundreds of years. They invented concrete and straight roads and even bikinis. One thing they never discovered though was the number zero. This made writing and dating extensive histories of their exploits slightly more challenging, but the system of numbers they came up with is still in use today. For example the BBC uses Roman numerals to date their programmes.

The Romans wrote numbers using letters - I, V, X, L, C, D, M. (notice these letters have lots of straight lines and are hence easy to hack into stone tablets).

 1  => I
10  => X
 7  => VII

There is no need to be able to convert numbers larger than about 3000. (The Romans themselves didn't tend to go any higher)

Wikipedia says: Modern Roman numerals ... are written by expressing each digit separately starting with the left most digit and skipping any digit with a value of zero.

To see this in practice, consider the example of 1990.

In Roman numerals 1990 is MCMXC:

1000=M 900=CM 90=XC

2008 is written as MMVIII:

2000=MM 8=VIII

See also: http://www.novaroma.org/via_romana/numbers.html

Running tests

Execute the tests with:

$ mix test

Pending tests

In the test suites, all but the first test have been skipped.

Once you get a test passing, you can unskip the next one by commenting out the relevant @tag :pending with a # symbol.

For example:

# @tag :pending
test "shouting" do
  assert Bob.hey("WATCH OUT!") == "Whoa, chill out!"
end

Or, you can enable all the tests by commenting out the ExUnit.configure line in the test suite.

# ExUnit.configure exclude: :pending, trace: true

If you're stuck on something, it may help to look at some of the available resources out there where answers might be found.

Source

The Roman Numeral Kata http://codingdojo.org/cgi-bin/index.pl?KataRomanNumerals

Submitting Incomplete Solutions

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

roman_numerals_test.exs

defmodule RomanNumeralsTest do
  use ExUnit.Case

  # @tag :pending
  test "1" do
    assert RomanNumerals.numeral(1) == "I"
  end

  @tag :pending
  test "2" do
    assert RomanNumerals.numeral(2) == "II"
  end

  @tag :pending
  test "3" do
    assert RomanNumerals.numeral(3) == "III"
  end

  @tag :pending
  test "4" do
    assert RomanNumerals.numeral(4) == "IV"
  end

  @tag :pending
  test "5" do
    assert RomanNumerals.numeral(5) == "V"
  end

  @tag :pending
  test "6" do
    assert RomanNumerals.numeral(6) == "VI"
  end

  @tag :pending
  test "9" do
    assert RomanNumerals.numeral(9) == "IX"
  end

  @tag :pending
  test "27" do
    assert RomanNumerals.numeral(27) == "XXVII"
  end

  @tag :pending
  test "48" do
    assert RomanNumerals.numeral(48) == "XLVIII"
  end

  @tag :pending
  test "59" do
    assert RomanNumerals.numeral(59) == "LIX"
  end

  @tag :pending
  test "93" do
    assert RomanNumerals.numeral(93) == "XCIII"
  end

  @tag :pending
  test "141" do
    assert RomanNumerals.numeral(141) == "CXLI"
  end

  @tag :pending
  test "163" do
    assert RomanNumerals.numeral(163) == "CLXIII"
  end

  @tag :pending
  test "402" do
    assert RomanNumerals.numeral(402) == "CDII"
  end

  @tag :pending
  test "575" do
    assert RomanNumerals.numeral(575) == "DLXXV"
  end

  @tag :pending
  test "911" do
    assert RomanNumerals.numeral(911) == "CMXI"
  end

  @tag :pending
  test "1024" do
    assert RomanNumerals.numeral(1024) == "MXXIV"
  end

  @tag :pending
  test "3000" do
    assert RomanNumerals.numeral(3000) == "MMM"
  end
end

test_helper.exs

ExUnit.start()
ExUnit.configure(exclude: :pending, trace: true)
defmodule RomanNumerals do
  @roman_numerals [
    {"M", 1000},
    {"CM", 900},
    {"D", 500},
    {"CD", 400},
    {"C", 100},
    {"XC", 90},
    {"L", 50},
    {"XL", 40},
    {"X", 10},
    {"IX", 9},
    {"V", 5},
    {"IV", 4},
    {"I", 1}
  ]

  @doc """
  Convert the number to a roman number.
  """
  @spec numeral(pos_integer) :: String.t()
  def numeral(number) do
    @roman_numerals
    |> Enum.reduce({"", number}, &append_roman_numeral/2)
    |> elem(0)
  end

  defp append_roman_numeral({roman, decimal}, {numeral, number}) do
    quotient = div(number, decimal)
    remainder = rem(number, decimal)
    string = numeral <> String.duplicate(roman, quotient)
    {string, remainder}
  end
end

Community comments

Find this solution interesting? Ask the author a question to learn more.

What can you learn from this solution?

A huge amount can be learned from reading other people’s code. This is why we wanted to give exercism users the option of making their solutions public.

Here are some questions to help you reflect on this solution and learn the most from it.

  • What compromises have been made?
  • Are there new concepts here that you could read more about to improve your understanding?