-
-
Notifications
You must be signed in to change notification settings - Fork 7
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
- Loading branch information
Showing
9 changed files
with
384 additions
and
12 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,12 @@ | ||
# 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! | ||
~~~~ |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,59 @@ | ||
# 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 | ||
``` |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,18 @@ | ||
module [roman] | ||
|
||
roman : U64 -> Result Str [InvalidNumber U64] | ||
roman = \number -> | ||
if number == 0 || number > 3999 then | ||
Err (InvalidNumber number) | ||
else | ||
|
||
convert = \digit, x1, x5, x10 -> | ||
when digit is | ||
4 -> "$(x1)$(x5)" | ||
9 -> "$(x1)$(x10)" | ||
n -> if n <= 3 then Str.repeat x1 n else "$(x5)$(Str.repeat x1 (n - 5))" | ||
thousands = convert (number // 1000) "M" "?" "?" | ||
hundreds = convert (number % 1000 // 100) "C" "D" "M" | ||
tens = convert (number % 100 // 10) "X" "L" "C" | ||
units = convert (number % 10) "I" "V" "X" | ||
Ok "$(thousands)$(hundreds)$(tens)$(units)" |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,19 @@ | ||
{ | ||
"authors": [ | ||
"ageron" | ||
], | ||
"files": { | ||
"solution": [ | ||
"RomanNumerals.roc" | ||
], | ||
"test": [ | ||
"roman-numerals-test.roc" | ||
], | ||
"example": [ | ||
".meta/Example.roc" | ||
] | ||
}, | ||
"blurb": "Convert modern Arabic numbers into Roman numerals.", | ||
"source": "The Roman Numeral Kata", | ||
"source_url": "https://codingdojo.org/kata/RomanNumerals/" | ||
} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,13 @@ | ||
{%- import "generator_macros.j2" as macros with context -%} | ||
{{ macros.canonical_ref() }} | ||
{{ macros.header() }} | ||
|
||
import {{ exercise | to_pascal }} exposing [{{ cases[0]["property"] | to_camel }}] | ||
|
||
{% for case in cases -%} | ||
# {{ case["description"] }} | ||
expect | ||
result = {{ case["property"] | to_camel }} {{ case["input"]["number"] | to_roc }} | ||
result == Ok {{ case["expected"] | to_roc }} | ||
|
||
{% endfor %} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,91 @@ | ||
# 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" | ||
|
||
[2f89cad7-73f6-4d1b-857b-0ef531f68b7e] | ||
description = "3888 is MMMDCCCLXXXVIII" | ||
|
||
[4e18e96b-5fbb-43df-a91b-9cb511fe0856] | ||
description = "3999 is MMMCMXCIX" |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,5 @@ | ||
module [roman] | ||
|
||
roman : U64 -> Result Str _ | ||
roman = \number -> | ||
crash "Please implement the 'roman' function" |
Oops, something went wrong.