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# Introduction | ||
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Your task is to convert a number from Arabic numerals to Roman numerals. | ||
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For this exercise, we are only concerned about traditional Roman numerals, in which the largest number is MMMCMXCIX (or 3,999). | ||
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~~~~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! | ||
~~~~ |
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# Description | ||
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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. | ||
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To write a Roman numeral we use the following Latin letters, each of which has a value: | ||
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| M | D | C | L | X | V | I | | ||
| ---- | --- | --- | --- | --- | --- | --- | | ||
| 1000 | 500 | 100 | 50 | 10 | 5 | 1 | | ||
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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`). | ||
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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`). | ||
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Order matters in Roman numerals! | ||
Letters (and the special compounds above) must be ordered by decreasing value from left to right. | ||
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Here are some examples: | ||
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```text | ||
105 => CV | ||
---- => -- | ||
100 => C | ||
+ 5 => V | ||
``` | ||
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```text | ||
106 => CVI | ||
---- => -- | ||
100 => C | ||
+ 5 => V | ||
+ 1 => I | ||
``` | ||
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```text | ||
104 => CIV | ||
---- => --- | ||
100 => C | ||
+ 4 => IV | ||
``` | ||
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And a final more complex example: | ||
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```text | ||
1996 => MCMXCVI | ||
----- => ------- | ||
1000 => M | ||
+ 900 => CM | ||
+ 90 => XC | ||
+ 5 => V | ||
+ 1 => I | ||
``` |
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{ | ||
"root": true, | ||
"extends": "@exercism/eslint-config-javascript", | ||
"env": { | ||
"jest": true | ||
}, | ||
"overrides": [ | ||
{ | ||
"files": [ | ||
"*.spec.js" | ||
], | ||
"excludedFiles": [ | ||
"custom.spec.js" | ||
], | ||
"extends": "@exercism/eslint-config-javascript/maintainers" | ||
} | ||
] | ||
} |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"roman-numerals.wat" | ||
], | ||
"test": [ | ||
"roman-numerals.spec.js" | ||
], | ||
"example": [ | ||
".meta/proof.ci.wat" | ||
], | ||
"invalidator": [ | ||
"package.json" | ||
] | ||
}, | ||
"blurb": "Convert modern Arabic numbers into Roman numerals.", | ||
"source": "The Roman Numeral Kata", | ||
"source_url": "https://codingdojo.org/kata/RomanNumerals/", | ||
"custom": { | ||
"version.tests.compatibility": "jest-27", | ||
"flag.tests.task-per-describe": false, | ||
"flag.tests.may-run-long": false, | ||
"flag.tests.includes-optional": false | ||
} | ||
} |
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(module | ||
(memory (export "mem") 1) | ||
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(global $C i32 (i32.const 67)) | ||
(global $D i32 (i32.const 68)) | ||
(global $I i32 (i32.const 73)) | ||
(global $L i32 (i32.const 76)) | ||
(global $M i32 (i32.const 77)) | ||
(global $V i32 (i32.const 86)) | ||
(global $X i32 (i32.const 88)) | ||
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;; returns the end offset | ||
(func $print (param $digit i32) (param $ten i32) (param $five i32) (param $one i32) (param $beginOffset i32) (result i32) | ||
(local $offset i32) | ||
(local $remainder i32) | ||
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(local.set $offset (local.get $beginOffset)) | ||
(local.set $remainder (i32.rem_u | ||
(local.get $digit) | ||
(i32.const 5) | ||
)) | ||
(if (i32.eq (local.get $remainder) (i32.const 4)) (then | ||
(i32.store8 (local.get $offset) (local.get $one)) | ||
(local.set $offset (i32.add (local.get $offset) (i32.const 1))) | ||
(if (i32.eq (local.get $digit) (i32.const 9)) (then | ||
(i32.store8 (local.get $offset) (local.get $ten)) | ||
) (else | ||
(i32.store8 (local.get $offset) (local.get $five)) | ||
)) | ||
(local.set $offset (i32.add (local.get $offset) (i32.const 1))) | ||
) (else | ||
(if (i32.ge_u (local.get $digit) (i32.const 5)) (then | ||
(i32.store8 (local.get $offset) (local.get $five)) | ||
(local.set $offset (i32.add (local.get $offset) (i32.const 1))) | ||
)) | ||
(if (local.get $remainder) (then | ||
(loop $ones | ||
(i32.store8 (local.get $offset) (local.get $one)) | ||
(local.set $offset (i32.add (local.get $offset) (i32.const 1))) | ||
(local.set $remainder (i32.sub (local.get $remainder) (i32.const 1))) | ||
(br_if $ones (local.get $remainder)) | ||
) | ||
)) | ||
)) | ||
(return (local.get $offset)) | ||
) | ||
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;; | ||
;; Convert a number into a Roman numeral | ||
;; | ||
;; @param {i32} number - The number to convert | ||
;; | ||
;; @returns {(i32,i32)} - Offset and length of result string | ||
;; in linear memory. | ||
;; | ||
(func (export "roman") (param $number i32) (result i32 i32) | ||
(local $returnOffset i32) | ||
(local $digit i32) | ||
(local $offset i32) | ||
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(local.set $returnOffset (i32.const 100)) | ||
(local.set $offset (local.get $returnOffset)) | ||
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(local.set $digit (i32.div_u | ||
(local.get $number) | ||
(i32.const 1000) | ||
)) | ||
(local.set $offset | ||
(call $print (local.get $digit) (global.get $X) (global.get $V) (global.get $M) (local.get $offset)) | ||
) | ||
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(local.set $digit (i32.rem_u | ||
(i32.div_u (local.get $number) (i32.const 100)) | ||
(i32.const 10) | ||
)) | ||
(local.set $offset | ||
(call $print (local.get $digit) (global.get $M) (global.get $D) (global.get $C) (local.get $offset)) | ||
) | ||
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(local.set $digit (i32.rem_u | ||
(i32.div_u (local.get $number) (i32.const 10)) | ||
(i32.const 10) | ||
)) | ||
(local.set $offset | ||
(call $print (local.get $digit) (global.get $C) (global.get $L) (global.get $X) (local.get $offset)) | ||
) | ||
|
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(local.set $digit (i32.rem_u | ||
(local.get $number) | ||
(i32.const 10) | ||
)) | ||
(local.set $offset | ||
(call $print (local.get $digit) (global.get $X) (global.get $V) (global.get $I) (local.get $offset)) | ||
) | ||
|
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(return | ||
(local.get $returnOffset) | ||
(i32.sub (local.get $offset) (local.get $returnOffset)) | ||
) | ||
) | ||
) |
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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" | ||
|
||
[2f89cad7-73f6-4d1b-857b-0ef531f68b7e] | ||
description = "3888 is MMMDCCCLXXXVIII" | ||
|
||
[4e18e96b-5fbb-43df-a91b-9cb511fe0856] | ||
description = "3999 is MMMCMXCIX" |
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audit=false |
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MIT License | ||
|
||
Copyright (c) 2021 Exercism | ||
|
||
Permission is hereby granted, free of charge, to any person obtaining a copy | ||
of this software and associated documentation files (the "Software"), to deal | ||
in the Software without restriction, including without limitation the rights | ||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
copies of the Software, and to permit persons to whom the Software is | ||
furnished to do so, subject to the following conditions: | ||
|
||
The above copyright notice and this permission notice shall be included in all | ||
copies or substantial portions of the Software. | ||
|
||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
SOFTWARE. |
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export default { | ||
presets: ["@exercism/babel-preset-javascript"], | ||
plugins: [], | ||
}; |
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{ | ||
"name": "@exercism/wasm-roman-numerals", | ||
"description": "Exercism exercises in WebAssembly.", | ||
"type": "module", | ||
"private": true, | ||
"license": "MIT", | ||
"repository": { | ||
"type": "git", | ||
"url": "https://github.com/exercism/wasm", | ||
"directory": "exercises/practice/roman-numerals" | ||
}, | ||
"jest": { | ||
"maxWorkers": 1 | ||
}, | ||
"devDependencies": { | ||
"@babel/core": "^7.23.3", | ||
"@exercism/babel-preset-javascript": "^0.4.0", | ||
"@exercism/eslint-config-javascript": "^0.6.0", | ||
"@types/jest": "^29.5.8", | ||
"@types/node": "^20.9.1", | ||
"babel-jest": "^29.7.0", | ||
"core-js": "^3.33.2", | ||
"eslint": "^8.54.0", | ||
"jest": "^29.7.0" | ||
}, | ||
"dependencies": { | ||
"@exercism/wasm-lib": "^0.2.0" | ||
}, | ||
"scripts": { | ||
"test": "node --experimental-vm-modules node_modules/jest/bin/jest.js ./*", | ||
"watch": "node --experimental-vm-modules node_modules/jest/bin/jest.js --watch ./*", | ||
"lint": "eslint ." | ||
} | ||
} |
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