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Add all-your-base exercise
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keiravillekode committed Oct 20, 2024
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8 changes: 8 additions & 0 deletions config.json
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"practices": [],
"prerequisites": [],
"difficulty": 4
},
{
"slug": "all-your-base",
"name": "All Your Base",
"uuid": "4e3f2d32-a052-45c2-ba97-2e2584d55650",
"practices": [],
"prerequisites": [],
"difficulty": 5
}
]
},
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28 changes: 28 additions & 0 deletions exercises/practice/all-your-base/.docs/instructions.md
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# Instructions

Convert a sequence of digits in one base, representing a number, into a sequence of digits in another base, representing the same number.

~~~~exercism/note
Try to implement the conversion yourself.
Do not use something else to perform the conversion for you.
~~~~

## About [Positional Notation][positional-notation]

In positional notation, a number in base **b** can be understood as a linear combination of powers of **b**.

The number 42, _in base 10_, means:

`(4 × 10¹) + (2 × 10⁰)`

The number 101010, _in base 2_, means:

`(1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰)`

The number 1120, _in base 3_, means:

`(1 × 3³) + (1 × 3²) + (2 × 3¹) + (0 × 3⁰)`

_Yes. Those three numbers above are exactly the same. Congratulations!_

[positional-notation]: https://en.wikipedia.org/wiki/Positional_notation
8 changes: 8 additions & 0 deletions exercises/practice/all-your-base/.docs/introduction.md
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# Introduction

You've just been hired as professor of mathematics.
Your first week went well, but something is off in your second week.
The problem is that every answer given by your students is wrong!
Luckily, your math skills have allowed you to identify the problem: the student answers _are_ correct, but they're all in base 2 (binary)!
Amazingly, it turns out that each week, the students use a different base.
To help you quickly verify the student answers, you'll be building a tool to translate between bases.
17 changes: 17 additions & 0 deletions exercises/practice/all-your-base/.meta/config.json
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{
"authors": [
"keiravillekode"
],
"files": {
"solution": [
"all_your_base.s"
],
"test": [
"all_your_base_test.c"
],
"example": [
".meta/example.s"
]
},
"blurb": "Convert a number, represented as a sequence of digits in one base, to any other base."
}
58 changes: 58 additions & 0 deletions exercises/practice/all-your-base/.meta/example.s
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.equ BAD_BASE, -1
.equ BAD_DIGIT, -2

.text
.globl rebase

/* extern int rebase(int32_t in_base, const int32_t* in_digits, int in_digit_count, int32_t out_base, int32_t* out_digits); */
rebase:
cmp w0, #2 /* minimum valid base */
blt .bad_base

cmp w3, #2
blt .bad_base

mov x5, #0 /* value represented by digits */
mov x7, x4 /* output pointer */

.read:
cbz x2, .write
ldr w6, [x1], 4 /* load input digit, post-increment */
cmp w6, w0
bhs .bad_digit /* unsigned >= */

madd x5, x0, x5, x6 /* in_base * value + digit */
sub x2, x2, #1 /* decrement number of digits remaining */
b .read

.bad_base:
mov x0, BAD_BASE
ret

.bad_digit:
mov x0, BAD_DIGIT
ret

.write:
udiv x1, x5, x3 /* divide value by out_base */
msub x6, x1, x3, x5 /* remainder, i.e. output digit */
str w6, [x7], #4 /* store, post-increment */
mov x5, x1
cbnz x5, .write /* loop until value is 0 */

sub x0, x7, x4 /* length of output, in bytes */
lsr x0, x0, #2

.reverse:
ldr w1, [x7, #-4]! /* load, pre-decrement */
cmp x7, x4
beq .return

ldr w2, [x4]
str w2, [x7]
str w1, [x4], #4 /* store, post-increment */
cmp x7, x4
bne .reverse

.return:
ret
73 changes: 73 additions & 0 deletions exercises/practice/all-your-base/.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.

[5ce422f9-7a4b-4f44-ad29-49c67cb32d2c]
description = "single bit one to decimal"

[0cc3fea8-bb79-46ac-a2ab-5a2c93051033]
description = "binary to single decimal"

[f12db0f9-0d3d-42c2-b3ba-e38cb375a2b8]
description = "single decimal to binary"

[2c45cf54-6da3-4748-9733-5a3c765d925b]
description = "binary to multiple decimal"

[65ddb8b4-8899-4fcc-8618-181b2cf0002d]
description = "decimal to binary"

[8d418419-02a7-4824-8b7a-352d33c6987e]
description = "trinary to hexadecimal"

[d3901c80-8190-41b9-bd86-38d988efa956]
description = "hexadecimal to trinary"

[5d42f85e-21ad-41bd-b9be-a3e8e4258bbf]
description = "15-bit integer"

[d68788f7-66dd-43f8-a543-f15b6d233f83]
description = "empty list"

[5e27e8da-5862-4c5f-b2a9-26c0382b6be7]
description = "single zero"

[2e1c2573-77e4-4b9c-8517-6c56c5bcfdf2]
description = "multiple zeros"

[3530cd9f-8d6d-43f5-bc6e-b30b1db9629b]
description = "leading zeros"

[a6b476a1-1901-4f2a-92c4-4d91917ae023]
description = "input base is one"

[e21a693a-7a69-450b-b393-27415c26a016]
description = "input base is zero"

[54a23be5-d99e-41cc-88e0-a650ffe5fcc2]
description = "input base is negative"

[9eccf60c-dcc9-407b-95d8-c37b8be56bb6]
description = "negative digit"

[232fa4a5-e761-4939-ba0c-ed046cd0676a]
description = "invalid positive digit"

[14238f95-45da-41dc-95ce-18f860b30ad3]
description = "output base is one"

[73dac367-da5c-4a37-95fe-c87fad0a4047]
description = "output base is zero"

[13f81f42-ff53-4e24-89d9-37603a48ebd9]
description = "output base is negative"

[0e6c895d-8a5d-4868-a345-309d094cfe8d]
description = "both bases are negative"
36 changes: 36 additions & 0 deletions exercises/practice/all-your-base/Makefile
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AS = aarch64-linux-gnu-as
CC = aarch64-linux-gnu-gcc

CFLAGS = -g -Wall -Wextra -pedantic -Werror
LDFLAGS =

ALL_LDFLAGS = -pie -Wl,--fatal-warnings

ALL_CFLAGS = -std=c99 -fPIE $(CFLAGS)
ALL_LDFLAGS += $(LDFLAGS)

C_OBJS = $(patsubst %.c,%.o,$(wildcard *.c))
AS_OBJS = $(patsubst %.s,%.o,$(wildcard *.s))
ALL_OBJS = $(filter-out example.o,$(C_OBJS) $(AS_OBJS) vendor/unity.o)

CC_CMD = $(CC) $(ALL_CFLAGS) -c -o $@ $<

all: tests
qemu-aarch64 -L /usr/aarch64-linux-gnu ./$<

tests: $(ALL_OBJS)
@$(CC) $(ALL_CFLAGS) $(ALL_LDFLAGS) -o $@ $(ALL_OBJS)

%.o: %.s
@$(AS) -o $@ $<

%.o: %.c
@$(CC_CMD)

vendor/unity.o: vendor/unity.c vendor/unity.h vendor/unity_internals.h
@$(CC_CMD)

clean:
@rm -f *.o vendor/*.o tests

.PHONY: all clean
8 changes: 8 additions & 0 deletions exercises/practice/all-your-base/all_your_base.s
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.equ BAD_BASE, -1
.equ BAD_DIGIT, -2

.text
.globl rebase

rebase:
ret
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