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Add Roman numerals practice exercise (#193)
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kahgoh authored Feb 16, 2024
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8 changes: 8 additions & 0 deletions config.json
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"practices": [],
"prerequisites": [],
"difficulty": 1
},
{
"slug": "roman-numerals",
"name": "Roman Numerals",
"uuid": "461223ea-e86b-4b94-9e7a-ac3ec1aa8a12",
"practices": [],
"prerequisites": [],
"difficulty": 1
}
]
},
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12 changes: 12 additions & 0 deletions exercises/practice/roman-numerals/.docs/instructions.md
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# Introduction

Your task is to convert a number from Arabic numerals to Roman numerals.

For this exercise, we are only concerned about traditional Roman numerals, in which the largest number is MMMCMXCIX (or 3,999).

~~~~exercism/note
There are lots of different ways to convert between Arabic and Roman numerals.
We recommend taking a naive approach first to familiarise yourself with the concept of Roman numerals and then search for more efficient methods.
Make sure to check out our Deep Dive video at the end to explore the different approaches you can take!
~~~~
59 changes: 59 additions & 0 deletions exercises/practice/roman-numerals/.docs/introduction.md
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# Description

Today, most people in the world use Arabic numerals (0–9).
But if you travelled back two thousand years, you'd find that most Europeans were using Roman numerals instead.

To write a Roman numeral we use the following Latin letters, each of which has a value:

| M | D | C | L | X | V | I |
| ---- | --- | --- | --- | --- | --- | --- |
| 1000 | 500 | 100 | 50 | 10 | 5 | 1 |

A Roman numeral is a sequence of these letters, and its value is the sum of the letters' values.
For example, `XVIII` has the value 18 (`10 + 5 + 1 + 1 + 1 = 18`).

There's one rule that makes things trickier though, and that's that **the same letter cannot be used more than three times in succession**.
That means that we can't express numbers such as 4 with the seemingly natural `IIII`.
Instead, for those numbers, we use a subtraction method between two letters.
So we think of `4` not as `1 + 1 + 1 + 1` but instead as `5 - 1`.
And slightly confusingly to our modern thinking, we write the smaller number first.
This applies only in the following cases: 4 (`IV`), 9 (`IX`), 40 (`XL`), 90 (`XC`), 400 (`CD`) and 900 (`CM`).

Order matters in Roman numerals!
Letters (and the special compounds above) must be ordered by decreasing value from left to right.

Here are some examples:

```text
105 => CV
---- => --
100 => C
+ 5 => V
```

```text
106 => CVI
---- => --
100 => C
+ 5 => V
+ 1 => I
```

```text
104 => CIV
---- => ---
100 => C
+ 4 => IV
```

And a final more complex example:

```text
1996 => MCMXCVI
----- => -------
1000 => M
+ 900 => CM
+ 90 => XC
+ 5 => V
+ 1 => I
```
22 changes: 22 additions & 0 deletions exercises/practice/roman-numerals/.meta/config.json
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{
"authors": [
"kahgoh"
],
"files": {
"solution": [
"src/roman-numerals.lfe"
],
"test": [
"test/roman-numerals-tests.lfe"
],
"example": [
".meta/example.lfe"
],
"invalidator": [
"rebar.config"
]
},
"blurb": "Convert modern Arabic numbers into Roman numerals.",
"source": "The Roman Numeral Kata",
"source_url": "https://codingdojo.org/kata/RomanNumerals/"
}
29 changes: 29 additions & 0 deletions exercises/practice/roman-numerals/.meta/example.lfe
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(defmodule roman-numerals
(export (roman 1))
)

(defun numerals () '(("I" "V" "X")
("X" "L" "C")
("C" "D" "M")
("M" "" ""))
)

(defun roman (value) (conv value "" (numerals)))

(defun conv
((_remaining acc []) acc)
((remaining acc (cons (list ones fives tens) next)) (conv (div remaining 10) (++ (roman-digit (rem remaining 10) ones fives tens) acc) next))
)

(defun roman-digit
((0 _ones _fives _tens) "")
((1 ones _fives tens) ones)
((2 ones _fives tens) (++ ones ones))
((3 ones _fives _tens) (++ ones ones ones))
((4 ones fives _tens) (++ ones fives))
((5 _ones fives _tens) fives)
((6 ones fives _tens) (++ fives ones))
((7 ones fives _tens) (++ fives ones ones))
((8 ones fives _tens) (++ fives ones ones ones))
((9 ones _fives tens) (++ ones tens))
)
88 changes: 88 additions & 0 deletions exercises/practice/roman-numerals/.meta/tests.toml
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# This is an auto-generated file.
#
# Regenerating this file via `configlet sync` will:
# - Recreate every `description` key/value pair
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
# - Preserve any other key/value pair
#
# As user-added comments (using the # character) will be removed when this file
# is regenerated, comments can be added via a `comment` key.

[19828a3a-fbf7-4661-8ddd-cbaeee0e2178]
description = "1 is I"

[f088f064-2d35-4476-9a41-f576da3f7b03]
description = "2 is II"

[b374a79c-3bea-43e6-8db8-1286f79c7106]
description = "3 is III"

[05a0a1d4-a140-4db1-82e8-fcc21fdb49bb]
description = "4 is IV"

[57c0f9ad-5024-46ab-975d-de18c430b290]
description = "5 is V"

[20a2b47f-e57f-4797-a541-0b3825d7f249]
description = "6 is VI"

[ff3fb08c-4917-4aab-9f4e-d663491d083d]
description = "9 is IX"

[6d1d82d5-bf3e-48af-9139-87d7165ed509]
description = "16 is XVI"

[2bda64ca-7d28-4c56-b08d-16ce65716cf6]
description = "27 is XXVII"

[a1f812ef-84da-4e02-b4f0-89c907d0962c]
description = "48 is XLVIII"

[607ead62-23d6-4c11-a396-ef821e2e5f75]
description = "49 is XLIX"

[d5b283d4-455d-4e68-aacf-add6c4b51915]
description = "59 is LIX"

[4465ffd5-34dc-44f3-ada5-56f5007b6dad]
description = "66 is LXVI"

[46b46e5b-24da-4180-bfe2-2ef30b39d0d0]
description = "93 is XCIII"

[30494be1-9afb-4f84-9d71-db9df18b55e3]
description = "141 is CXLI"

[267f0207-3c55-459a-b81d-67cec7a46ed9]
description = "163 is CLXIII"

[902ad132-0b4d-40e3-8597-ba5ed611dd8d]
description = "166 is CLXVI"

[cdb06885-4485-4d71-8bfb-c9d0f496b404]
description = "402 is CDII"

[6b71841d-13b2-46b4-ba97-dec28133ea80]
description = "575 is DLXXV"

[dacb84b9-ea1c-4a61-acbb-ce6b36674906]
description = "666 is DCLXVI"

[432de891-7fd6-4748-a7f6-156082eeca2f]
description = "911 is CMXI"

[e6de6d24-f668-41c0-88d7-889c0254d173]
description = "1024 is MXXIV"

[efbe1d6a-9f98-4eb5-82bc-72753e3ac328]
description = "1666 is MDCLXVI"

[bb550038-d4eb-4be2-a9ce-f21961ac3bc6]
description = "3000 is MMM"

[3bc4b41c-c2e6-49d9-9142-420691504336]
description = "3001 is MMMI"

[4e18e96b-5fbb-43df-a91b-9cb511fe0856]
description = "3999 is MMMCMXCIX"
21 changes: 21 additions & 0 deletions exercises/practice/roman-numerals/Makefile
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ERL := $(shell which erl)
REBAR3 := $(shell which rebar3)

null :=
space := $(null) #
comma := ,

ifeq ($(ERL),)
$(error Can't find Erlang executable 'erl')
else ifeq ($(REBAR3),)
$(error Can't find rebar3)
endif

compile: ; $(REBAR3) compile

clean: ; $(REBAR3) clean

.PHONY: test
test:
$(REBAR3) eunit \
-m $(subst $(space),$(comma),$(basename $(notdir $(wildcard test/*.lfe))))
11 changes: 11 additions & 0 deletions exercises/practice/roman-numerals/rebar.config
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{plugins, [{rebar3_lfe, "0.4.3"}]}.

{provider_hooks, [{post, [{compile, {lfe, compile}}]}]}.

{deps, [{lfe, "2.1.1"}]}.

{profiles,
[{test,
[{eunit_compile_opts, [{src_dirs, ["src", "test"]}]},
{deps,
[{ltest, "0.13.3"}]}]}]}.
8 changes: 8 additions & 0 deletions exercises/practice/roman-numerals/rebar.lock
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{"1.2.0",
[{<<"lfe">>,{pkg,<<"lfe">>,<<"2.1.1">>},0}]}.
[
{pkg_hash,[
{<<"lfe">>, <<"4A888B26172D198DC7A5AFEB897E8248AF7D56E1638D9C8249AAF933AE811B96">>}]},
{pkg_hash_ext,[
{<<"lfe">>, <<"C484D3B655D40DED58BC41B17B22F173711C681BF36063A234A9BAA9506947E1">>}]}
].
11 changes: 11 additions & 0 deletions exercises/practice/roman-numerals/src/roman-numerals.app.src
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%% -*- erlang -*-
{application, 'roman-numerals',
[{description, "Write a function to convert from normal numbers to Roman Numerals."},
{vsn, "0.0.1"},
{modules,
['roman-numerals']},
{registered, []},
{applications,
[kernel, stdlib]},
{included_applications, []},
{env, []}]}.
5 changes: 5 additions & 0 deletions exercises/practice/roman-numerals/src/roman-numerals.lfe
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(defmodule roman-numerals
(export (roman 1))
)

; Please implement the roman function
83 changes: 83 additions & 0 deletions exercises/practice/roman-numerals/test/roman-numerals-tests.lfe
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(defmodule roman-numerals-tests
(behaviour ltest-unit)
(export all))

(include-lib "ltest/include/ltest-macros.lfe")

(deftest 1-is-I
(is-equal "I" (roman-numerals:roman 1)))

(deftest 2-is-II
(is-equal "II" (roman-numerals:roman 2)))

(deftest 3-is-III
(is-equal "III" (roman-numerals:roman 3)))

(deftest 4-is-IV
(is-equal "IV" (roman-numerals:roman 4)))

(deftest 5-is-V
(is-equal "V" (roman-numerals:roman 5)))

(deftest 6-is-VI
(is-equal "VI" (roman-numerals:roman 6)))

(deftest 9-is-IX
(is-equal "IX" (roman-numerals:roman 9)))

(deftest 16-is-XVI
(is-equal "XVI" (roman-numerals:roman 16)))

(deftest 27-is-XXVII
(is-equal "XXVII" (roman-numerals:roman 27)))

(deftest 48-is-XLVIII
(is-equal "XLVIII" (roman-numerals:roman 48)))

(deftest 49-is-XLIX
(is-equal "XLIX" (roman-numerals:roman 49)))

(deftest 59-is-LIX
(is-equal "LIX" (roman-numerals:roman 59)))

(deftest 66-is-LXVI
(is-equal "LXVI" (roman-numerals:roman 66)))

(deftest 93-is-XCIII
(is-equal "XCIII" (roman-numerals:roman 93)))

(deftest 141-is-CXLI
(is-equal "CXLI" (roman-numerals:roman 141)))

(deftest 163-is-CLXIII
(is-equal "CLXIII" (roman-numerals:roman 163)))

(deftest 166-is-CLXVI
(is-equal "CLXVI" (roman-numerals:roman 166)))

(deftest 402-is-CDII
(is-equal "CDII" (roman-numerals:roman 402)))

(deftest 575-is-DLXXV
(is-equal "DLXXV" (roman-numerals:roman 575)))

(deftest 666-is-DCLXVI
(is-equal "DCLXVI" (roman-numerals:roman 666)))

(deftest 911-is-CMXI
(is-equal "CMXI" (roman-numerals:roman 911)))

(deftest 1024-is-MXXIV
(is-equal "MXXIV" (roman-numerals:roman 1024)))

(deftest 1666-is-MDCLXVI
(is-equal "MDCLXVI" (roman-numerals:roman 1666)))

(deftest 3000-is-MMM
(is-equal "MMM" (roman-numerals:roman 3000)))

(deftest 3001-is-MMMI
(is-equal "MMMI" (roman-numerals:roman 3001)))

(deftest 3999-is-MMMCMXCIX
(is-equal "MMMCMXCIX" (roman-numerals:roman 3999)))

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