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Add roman-numerals exercise
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keiravillekode committed Jan 18, 2024
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9 changes: 9 additions & 0 deletions config.json
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"difficulty": 4,
"topics": []
},
{
"slug": "roman-numerals",
"name": "Roman Numerals",
"uuid": "fa283d1e-2005-40d3-9a30-252d06d98523",
"practices": [],
"prerequisites": [],
"difficulty": 4,
"topics": []
},
{
"slug": "scrabble-score",
"name": "Scrabble Score",
Expand Down
6 changes: 6 additions & 0 deletions exercises/practice/roman-numerals/.docs/hints.md
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# Hints

## General

- The `$t0-9` registers can be used to temporarily store values
- The instructions specify which registers are used as input and output
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# Instructions append

## Registers

| Register | Usage | Type | Description |
| -------- | ------------ | ------- | ----------------------------- |
| `$a0` | input | integer | given number |
| `$a1` | input/output | address | null-terminated result string |
| `$t0-9` | temporary | any | for temporary storage |
41 changes: 41 additions & 0 deletions exercises/practice/roman-numerals/.docs/instructions.md
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# Instructions

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 programs.

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).

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

The maximum number supported by this notation is 3,999.
(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

Learn more about [Roman numerals on Wikipedia][roman-numerals].

[roman-numerals]: https://wiki.imperivm-romanvm.com/wiki/Roman_Numerals
19 changes: 19 additions & 0 deletions exercises/practice/roman-numerals/.meta/config.json
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{
"authors": [
"keiravillekode"
],
"files": {
"solution": [
"impl.mips"
],
"test": [
"runner.mips"
],
"example": [
".meta/example.mips"
]
},
"blurb": "Write a function to convert from normal numbers to Roman Numerals.",
"source": "The Roman Numeral Kata",
"source_url": "https://codingdojo.org/kata/RomanNumerals/"
}
96 changes: 96 additions & 0 deletions exercises/practice/roman-numerals/.meta/example.mips
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# Converts number to Roman Numerals.
#
# $a0 - input value of integer in question
# $a1 - input, pointer to expected location of transcribed string
# $t0 - address of fives
# $t1 - address of ones
# $t2 - return address
# $t3 - low digits of input
# $t4 - current digit value (0..9)
# $t5 - current digit place (0 for units, 1 for tens, 2 for hundreds, 3 for thousands)
# $t6 - divisor
# $t7 - character for roman numeral, in {I, V, X, L, C, D, M}

.globl roman

.data

ones: .asciiz "IXCM"
fives: .asciiz "VLD"

.text

roman:
move $t2, $ra # make a copy of return address
la $t1, ones # address of ones
la $t0, fives # address of fives

li $t6, 1000
div $a0, $t6
mfhi $t3 # input % 1000
mflo $t4 # thousands digit
li $t5, 3 # thousands place
jal convert_digit

li $t6, 100
div $t3, $t6
mfhi $t3 # input % 100
mflo $t4 # hundreds digit
li $t5, 2 # hundreds place
jal convert_digit

li $t6, 10
div $t3, $t6
mfhi $t3 # input % 10
mflo $t4 # tens digit
li $t5, 1 # tens place
jal convert_digit

move $t4, $t3 # units digit
li $t5, 0 # units place
jal convert_digit

sb $zero, 0($a1) # write '\0' terminator

jr $t2 # return to caller

convert_digit:
# subroutine that converts current digit
# (with value $t4, place $t5) to roman numerals.
li $t6, 5
rem $t6, $t4, $t6
bne $t6, 4, simple # jump forward if the digit is not 4 (mod 5)

add $t7, $t1, $t5 # address of character for digit 1
lb $t7, 0($t7) # read character for digit 1
sb $t7, 0($a1) # write character for digit 1
addi $a1, $a1, 1 # increment output address

addi $t4, $t4, 1 # increment digit by 1
bne $t4, 10, simple # jump forward if the digit has not become 10

li $t4, 1 # replace 10 with digit 1
addi $t5, $t5, 1 # with increased place value

simple:
blt $t4, 5, while_ones # jump forward if the digit is below 5

add $t7, $t0, $t5 # address of character for digit 5
lb $t7, 0($t7) # read character for digit 5
sb $t7, 0($a1) # write character for digit 5
addi $a1, $a1, 1 # increment output address

subi $t4, $t4, 5 # decrease digit by 5
j while_ones # check if we need to write digit 1

do_ones:
add $t7, $t1, $t5 # address of character for digit 1
lb $t7, 0($t7) # read character for digit 1
sb $t7, 0($a1) # write character for digit 1
addi $a1, $a1, 1 # increment output address

subi $t4, $t4, 1 # decrease digit by 1

while_ones:
bne $t4, $zero, do_ones # loop until digit is 0
jr $ra # return to caller (roman)
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"
10 changes: 10 additions & 0 deletions exercises/practice/roman-numerals/impl.mips
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# | Register | Usage | Type | Description |
# | -------- | ------------ | ------- | ----------------------------- |
# | `$a0` | input | integer | given number |
# | `$a1` | input/output | address | null-terminated result string |
# | `$t0-9` | temporary | any | for temporary storage |

.globl roman

roman:
jr $ra
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