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# Instructions | ||
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Compute the prime factors of a given natural number. | ||
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A prime number is only evenly divisible by itself and 1. | ||
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Note that 1 is not a prime number. | ||
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## Example | ||
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What are the prime factors of 60? | ||
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- Our first divisor is 2. | ||
2 goes into 60, leaving 30. | ||
- 2 goes into 30, leaving 15. | ||
- 2 doesn't go cleanly into 15. | ||
So let's move on to our next divisor, 3. | ||
- 3 goes cleanly into 15, leaving 5. | ||
- 3 does not go cleanly into 5. | ||
The next possible factor is 4. | ||
- 4 does not go cleanly into 5. | ||
The next possible factor is 5. | ||
- 5 does go cleanly into 5. | ||
- We're left only with 1, so now, we're done. | ||
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Our successful divisors in that computation represent the list of prime factors of 60: 2, 2, 3, and 5. | ||
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You can check this yourself: | ||
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```text | ||
2 * 2 * 3 * 5 | ||
= 4 * 15 | ||
= 60 | ||
``` | ||
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Success! |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"prime_factors.s" | ||
], | ||
"test": [ | ||
"prime_factors_test.c" | ||
], | ||
"example": [ | ||
".meta/example.s" | ||
] | ||
}, | ||
"blurb": "Compute the prime factors of a given natural number.", | ||
"source": "The Prime Factors Kata by Uncle Bob", | ||
"source_url": "https://web.archive.org/web/20221026171801/http://butunclebob.com/ArticleS.UncleBob.ThePrimeFactorsKata" | ||
} |
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.text | ||
.globl factors | ||
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/* extern size_t factors(uint64_t* dest, uint64_t value); */ | ||
factors: | ||
mov x2, x0 /* start of output */ | ||
mov x3, #2 /* candidate factor */ | ||
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.search: | ||
cmp x1, #1 | ||
beq .return | ||
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udiv x4, x1, x3 /* quotient */ | ||
msub x5, x3, x4, x1 /* remainder */ | ||
cbz x5, .factor | ||
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cmp x3, x4 | ||
bgt .last | ||
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add x3, x3, 1 | ||
b .search | ||
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.last: | ||
mov x3, x1 | ||
mov x4, #1 | ||
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.factor: | ||
str x3, [x0], #8 /* store, post-increment */ | ||
mov x1, x4 | ||
b .search | ||
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.return: | ||
sub x0, x0, x2 /* number of bytes output */ | ||
lsr x0, x0, #3 /* number of primes output */ | ||
ret |
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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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[924fc966-a8f5-4288-82f2-6b9224819ccd] | ||
description = "no factors" | ||
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[17e30670-b105-4305-af53-ddde182cb6ad] | ||
description = "prime number" | ||
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[238d57c8-4c12-42ef-af34-ae4929f94789] | ||
description = "another prime number" | ||
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[f59b8350-a180-495a-8fb1-1712fbee1158] | ||
description = "square of a prime" | ||
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[756949d3-3158-4e3d-91f2-c4f9f043ee70] | ||
description = "product of first prime" | ||
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[bc8c113f-9580-4516-8669-c5fc29512ceb] | ||
description = "cube of a prime" | ||
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[7d6a3300-a4cb-4065-bd33-0ced1de6cb44] | ||
description = "product of second prime" | ||
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[073ac0b2-c915-4362-929d-fc45f7b9a9e4] | ||
description = "product of third prime" | ||
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[6e0e4912-7fb6-47f3-a9ad-dbcd79340c75] | ||
description = "product of first and second prime" | ||
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[00485cd3-a3fe-4fbe-a64a-a4308fc1f870] | ||
description = "product of primes and non-primes" | ||
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[02251d54-3ca1-4a9b-85e1-b38f4b0ccb91] | ||
description = "product of primes" | ||
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[070cf8dc-e202-4285-aa37-8d775c9cd473] | ||
description = "factors include a large prime" |
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AS = aarch64-linux-gnu-as | ||
CC = aarch64-linux-gnu-gcc | ||
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CFLAGS = -g -Wall -Wextra -pedantic -Werror | ||
LDFLAGS = | ||
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ALL_LDFLAGS = -pie -Wl,--fatal-warnings | ||
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ALL_CFLAGS = -std=c99 -fPIE $(CFLAGS) | ||
ALL_LDFLAGS += $(LDFLAGS) | ||
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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) | ||
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CC_CMD = $(CC) $(ALL_CFLAGS) -c -o $@ $< | ||
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all: tests | ||
qemu-aarch64 -L /usr/aarch64-linux-gnu ./$< | ||
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tests: $(ALL_OBJS) | ||
@$(CC) $(ALL_CFLAGS) $(ALL_LDFLAGS) -o $@ $(ALL_OBJS) | ||
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%.o: %.s | ||
@$(AS) -o $@ $< | ||
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%.o: %.c | ||
@$(CC_CMD) | ||
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vendor/unity.o: vendor/unity.c vendor/unity.h vendor/unity_internals.h | ||
@$(CC_CMD) | ||
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clean: | ||
@rm -f *.o vendor/*.o tests | ||
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.PHONY: all clean |
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.text | ||
.globl factors | ||
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factors: | ||
ret |
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#include "vendor/unity.h" | ||
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#include <stddef.h> | ||
#include <stdint.h> | ||
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#define MAX_ARRAY_SIZE 100 | ||
#define ARRAY_SIZE(x) (sizeof(x) / sizeof((x)[0])) | ||
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extern size_t factors(uint64_t* dest, uint64_t value); | ||
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void setUp(void) { | ||
} | ||
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void tearDown(void) { | ||
} | ||
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void test_no_factors(void) { | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 1); | ||
TEST_ASSERT_EQUAL_UINT(0U, size); | ||
} | ||
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void test_prime_number(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {2}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 2); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_another_prime_number(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {3}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 3); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_square_of_a_prime(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {3, 3}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 9); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_product_of_first_prime(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {2, 2}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 4); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_cube_of_a_prime(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {2, 2, 2}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 8); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_product_of_second_prime(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {3, 3, 3}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 27); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_product_of_third_prime(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {5, 5, 5, 5}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 625); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_product_of_first_and_second_prime(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {2, 3}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 6); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_product_of_primes_and_nonprimes(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {2, 2, 3}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 12); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_product_of_primes(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {5, 17, 23, 461}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 901255); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_factors_include_a_large_prime(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {11, 9539, 894119}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 93819012551); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_product_of_three_large_primes(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {2077681, 2099191, 2101243}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 9164464719174396253); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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void test_one_very_large_prime(void) { | ||
TEST_IGNORE(); | ||
const uint64_t expected[] = {4016465016163}; | ||
uint64_t actual[MAX_ARRAY_SIZE]; | ||
const size_t size = factors(actual, 4016465016163); | ||
TEST_ASSERT_EQUAL_UINT(ARRAY_SIZE(expected), size); | ||
TEST_ASSERT_EQUAL_UINT64_ARRAY(expected, actual, size); | ||
} | ||
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int main(void) { | ||
UNITY_BEGIN(); | ||
RUN_TEST(test_no_factors); | ||
RUN_TEST(test_prime_number); | ||
RUN_TEST(test_another_prime_number); | ||
RUN_TEST(test_square_of_a_prime); | ||
RUN_TEST(test_product_of_first_prime); | ||
RUN_TEST(test_cube_of_a_prime); | ||
RUN_TEST(test_product_of_second_prime); | ||
RUN_TEST(test_product_of_third_prime); | ||
RUN_TEST(test_product_of_first_and_second_prime); | ||
RUN_TEST(test_product_of_primes_and_nonprimes); | ||
RUN_TEST(test_product_of_primes); | ||
RUN_TEST(test_factors_include_a_large_prime); | ||
RUN_TEST(test_product_of_three_large_primes); | ||
RUN_TEST(test_one_very_large_prime); | ||
return UNITY_END(); | ||
} |
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