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# Hints | ||
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## General | ||
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- The `$t0-9` registers can be used to temporarily store values | ||
- The instructions specify which registers are used as input and output |
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exercises/practice/roman-numerals/.docs/instructions.append.md
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# Instructions append | ||
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## Registers | ||
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| Register | Usage | Type | Description | | ||
| -------- | ------------ | ------- | ----------------------------- | | ||
| `$a0` | input | integer | given number | | ||
| `$a1` | input/output | address | null-terminated result string | | ||
| `$t0-9` | temporary | any | for temporary storage | |
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# Instructions | ||
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Write a function to convert from normal numbers to Roman Numerals. | ||
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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. | ||
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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). | ||
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```text | ||
1 => I | ||
10 => X | ||
7 => VII | ||
``` | ||
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The maximum number supported by this notation is 3,999. | ||
(The Romans themselves didn't tend to go any higher) | ||
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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. | ||
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To see this in practice, consider the example of 1990. | ||
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In Roman numerals 1990 is MCMXC: | ||
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1000=M | ||
900=CM | ||
90=XC | ||
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2008 is written as MMVIII: | ||
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2000=MM | ||
8=VIII | ||
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Learn more about [Roman numerals on Wikipedia][roman-numerals]. | ||
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[roman-numerals]: https://wiki.imperivm-romanvm.com/wiki/Roman_Numerals |
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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/" | ||
} |
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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} | ||
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.globl roman | ||
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.data | ||
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ones: .asciiz "IXCM" | ||
fives: .asciiz "VLD" | ||
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.text | ||
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roman: | ||
move $t2, $ra # make a copy of return address | ||
la $t1, ones # address of ones | ||
la $t0, fives # address of fives | ||
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li $t6, 1000 | ||
div $a0, $t6 | ||
mfhi $t3 # input % 1000 | ||
mflo $t4 # thousands digit | ||
li $t5, 3 # thousands place | ||
jal convert_digit | ||
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li $t6, 100 | ||
div $t3, $t6 | ||
mfhi $t3 # input % 100 | ||
mflo $t4 # hundreds digit | ||
li $t5, 2 # hundreds place | ||
jal convert_digit | ||
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li $t6, 10 | ||
div $t3, $t6 | ||
mfhi $t3 # input % 10 | ||
mflo $t4 # tens digit | ||
li $t5, 1 # tens place | ||
jal convert_digit | ||
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move $t4, $t3 # units digit | ||
li $t5, 0 # units place | ||
jal convert_digit | ||
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sb $zero, 0($a1) # write '\0' terminator | ||
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jr $t2 # return to caller | ||
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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) | ||
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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 | ||
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addi $t4, $t4, 1 # increment digit by 1 | ||
bne $t4, 10, simple # jump forward if the digit has not become 10 | ||
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li $t4, 1 # replace 10 with digit 1 | ||
addi $t5, $t5, 1 # with increased place value | ||
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simple: | ||
blt $t4, 5, while_ones # jump forward if the digit is below 5 | ||
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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 | ||
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subi $t4, $t4, 5 # decrease digit by 5 | ||
j while_ones # check if we need to write digit 1 | ||
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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 | ||
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subi $t4, $t4, 1 # decrease digit by 1 | ||
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while_ones: | ||
bne $t4, $zero, do_ones # loop until digit is 0 | ||
jr $ra # return to caller (roman) |
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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. | ||
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[19828a3a-fbf7-4661-8ddd-cbaeee0e2178] | ||
description = "1 is I" | ||
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[f088f064-2d35-4476-9a41-f576da3f7b03] | ||
description = "2 is II" | ||
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[b374a79c-3bea-43e6-8db8-1286f79c7106] | ||
description = "3 is III" | ||
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[05a0a1d4-a140-4db1-82e8-fcc21fdb49bb] | ||
description = "4 is IV" | ||
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[57c0f9ad-5024-46ab-975d-de18c430b290] | ||
description = "5 is V" | ||
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[20a2b47f-e57f-4797-a541-0b3825d7f249] | ||
description = "6 is VI" | ||
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[ff3fb08c-4917-4aab-9f4e-d663491d083d] | ||
description = "9 is IX" | ||
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[6d1d82d5-bf3e-48af-9139-87d7165ed509] | ||
description = "16 is XVI" | ||
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[2bda64ca-7d28-4c56-b08d-16ce65716cf6] | ||
description = "27 is XXVII" | ||
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[a1f812ef-84da-4e02-b4f0-89c907d0962c] | ||
description = "48 is XLVIII" | ||
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[607ead62-23d6-4c11-a396-ef821e2e5f75] | ||
description = "49 is XLIX" | ||
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[d5b283d4-455d-4e68-aacf-add6c4b51915] | ||
description = "59 is LIX" | ||
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[4465ffd5-34dc-44f3-ada5-56f5007b6dad] | ||
description = "66 is LXVI" | ||
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[46b46e5b-24da-4180-bfe2-2ef30b39d0d0] | ||
description = "93 is XCIII" | ||
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[30494be1-9afb-4f84-9d71-db9df18b55e3] | ||
description = "141 is CXLI" | ||
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[267f0207-3c55-459a-b81d-67cec7a46ed9] | ||
description = "163 is CLXIII" | ||
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[902ad132-0b4d-40e3-8597-ba5ed611dd8d] | ||
description = "166 is CLXVI" | ||
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[cdb06885-4485-4d71-8bfb-c9d0f496b404] | ||
description = "402 is CDII" | ||
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[6b71841d-13b2-46b4-ba97-dec28133ea80] | ||
description = "575 is DLXXV" | ||
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[dacb84b9-ea1c-4a61-acbb-ce6b36674906] | ||
description = "666 is DCLXVI" | ||
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[432de891-7fd6-4748-a7f6-156082eeca2f] | ||
description = "911 is CMXI" | ||
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[e6de6d24-f668-41c0-88d7-889c0254d173] | ||
description = "1024 is MXXIV" | ||
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[efbe1d6a-9f98-4eb5-82bc-72753e3ac328] | ||
description = "1666 is MDCLXVI" | ||
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[bb550038-d4eb-4be2-a9ce-f21961ac3bc6] | ||
description = "3000 is MMM" | ||
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[3bc4b41c-c2e6-49d9-9142-420691504336] | ||
description = "3001 is MMMI" | ||
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[4e18e96b-5fbb-43df-a91b-9cb511fe0856] | ||
description = "3999 is MMMCMXCIX" |
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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 | | ||
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.globl roman | ||
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roman: | ||
jr $ra |
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