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exercises(roman-numerals): implement #383

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13 changes: 13 additions & 0 deletions config.json
Original file line number Diff line number Diff line change
Expand Up @@ -747,6 +747,19 @@
"structs"
],
"difficulty": 4
},
{
"slug": "roman-numerals",
"name": "Roman Numerals",
"uuid": "ad55f4da-9f64-4a81-908d-43224d672e80",
"practices": [],
"prerequisites": [
"allocators",
"conditionals",
"control-flow",
"slices"
],
"difficulty": 4
}
]
},
Expand Down
12 changes: 12 additions & 0 deletions exercises/practice/roman-numerals/.docs/instructions.md
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@@ -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!
~~~~
59 changes: 59 additions & 0 deletions exercises/practice/roman-numerals/.docs/introduction.md
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@@ -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
```
19 changes: 19 additions & 0 deletions exercises/practice/roman-numerals/.meta/config.json
Original file line number Diff line number Diff line change
@@ -0,0 +1,19 @@
{
"authors": [
"mk2s"
],
"files": {
"solution": [
"roman_numerals.zig"
],
"test": [
"test_roman_numerals.zig"
],
"example": [
".meta/example.zig"
]
},
"blurb": "Convert modern Arabic numbers into Roman numerals.",
"source": "The Roman Numeral Kata",
"source_url": "https://codingdojo.org/kata/RomanNumerals/"
}
42 changes: 42 additions & 0 deletions exercises/practice/roman-numerals/.meta/example.zig
Original file line number Diff line number Diff line change
@@ -0,0 +1,42 @@
const std = @import("std");
const mem = std.mem;
const allocPrint = std.fmt.allocPrint;

const DigitValue = struct {
value: i16,
digit: []const u8,
};

const max_result_size = 10;

var digitValues = [_]DigitValue{
.{ .value = 1000, .digit = "M" },
.{ .value = 900, .digit = "CM" },
.{ .value = 500, .digit = "D" },
.{ .value = 400, .digit = "CD" },
.{ .value = 100, .digit = "C" },
.{ .value = 90, .digit = "XC" },
.{ .value = 50, .digit = "L" },
.{ .value = 40, .digit = "XL" },
.{ .value = 10, .digit = "X" },
.{ .value = 9, .digit = "IX" },
.{ .value = 5, .digit = "V" },
.{ .value = 4, .digit = "IV" },
.{ .value = 1, .digit = "I" },
};

pub fn toRoman(allocator: mem.Allocator, arabicNumeral: i16) mem.Allocator.Error![]u8 {
var tmp: [10]u8 = undefined;
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3888 has 3 + 4 + 4 + 4 digits. Perhaps change the 10 to 15

var numeral: i16 = arabicNumeral;
var len: usize = 0;
for (digitValues) |dv| {
while (numeral >= dv.value) {
std.mem.copy(u8, tmp[len..], dv.digit);
len += dv.digit.len;
numeral -= dv.value;
}
}
var result = try allocator.alloc(u8, len);
std.mem.copy(u8, result, tmp[0..len]);
return result;
}
88 changes: 88 additions & 0 deletions exercises/practice/roman-numerals/.meta/tests.toml
Original file line number Diff line number Diff line change
@@ -0,0 +1,88 @@
# 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"
8 changes: 8 additions & 0 deletions exercises/practice/roman-numerals/roman_numerals.zig
Original file line number Diff line number Diff line change
@@ -0,0 +1,8 @@
const std = @import("std");
const mem = std.mem;

pub fn toRoman(allocator: mem.Allocator, arabicNumeral: i16) mem.Allocator.Error![]u8 {
_ = allocator;
_ = arabicNumeral;
@compileError("please implement the toRoman function");
}
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