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exercises/practice/armstrong-numbers/.docs/instructions.md
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# Instructions | ||
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An [Armstrong number][armstrong-number] is a number that is the sum of its own digits each raised to the power of the number of digits. | ||
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For example: | ||
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- 9 is an Armstrong number, because `9 = 9^1 = 9` | ||
- 10 is _not_ an Armstrong number, because `10 != 1^2 + 0^2 = 1` | ||
- 153 is an Armstrong number, because: `153 = 1^3 + 5^3 + 3^3 = 1 + 125 + 27 = 153` | ||
- 154 is _not_ an Armstrong number, because: `154 != 1^3 + 5^3 + 4^3 = 1 + 125 + 64 = 190` | ||
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Write some code to determine whether a number is an Armstrong number. | ||
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[armstrong-number]: https://en.wikipedia.org/wiki/Narcissistic_number |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"armstrong_numbers.s" | ||
], | ||
"test": [ | ||
"armstrong_numbers_test.c" | ||
], | ||
"example": [ | ||
".meta/example.s" | ||
] | ||
}, | ||
"blurb": "Determine if a number is an Armstrong number.", | ||
"source": "Wikipedia", | ||
"source_url": "https://en.wikipedia.org/wiki/Narcissistic_number" | ||
} |
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.text | ||
.globl is_armstrong_number | ||
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/* extern int is_armstrong_number(unsigned number); */ | ||
is_armstrong_number: | ||
mov x1, #10 | ||
mov x4, x0 /* number */ | ||
mov x5, xzr /* digit count */ | ||
mov x6, xzr /* sum of digit powers */ | ||
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.count_digit: | ||
add x5, x5, #1 | ||
udiv x0, x0, x1 /* quotient */ | ||
cbnz x0, .count_digit | ||
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mov x0, x4 /* number */ | ||
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.extract_digit: | ||
udiv x2, x0, x1 /* quotient */ | ||
msub x3, x2, x1, x0 /* remainder becomes base */ | ||
mov x0, x2 | ||
mov x9, #1 /* multiplier */ | ||
mov x10, x5 /* exponent */ | ||
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.raise: | ||
mul x7, x9, x3 | ||
tst x10, #1 | ||
csel x9, x7, x9, ne /* multiplier *= base, provided exponent is odd */ | ||
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mul x3, x3, x3 /* square base */ | ||
lsr x10, x10, #1 /* halve exponent */ | ||
cbnz x10, .raise | ||
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add x6, x6, x9 /* update sum of digit powers */ | ||
cbnz x2, .extract_digit | ||
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cmp x6, x4 | ||
cset x0, eq /* 1 if sum of digit powers == number, otherwise 0 */ | ||
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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[c1ed103c-258d-45b2-be73-d8c6d9580c7b] | ||
description = "Zero is an Armstrong number" | ||
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[579e8f03-9659-4b85-a1a2-d64350f6b17a] | ||
description = "Single-digit numbers are Armstrong numbers" | ||
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[2d6db9dc-5bf8-4976-a90b-b2c2b9feba60] | ||
description = "There are no two-digit Armstrong numbers" | ||
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[509c087f-e327-4113-a7d2-26a4e9d18283] | ||
description = "Three-digit number that is an Armstrong number" | ||
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[7154547d-c2ce-468d-b214-4cb953b870cf] | ||
description = "Three-digit number that is not an Armstrong number" | ||
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[6bac5b7b-42e9-4ecb-a8b0-4832229aa103] | ||
description = "Four-digit number that is an Armstrong number" | ||
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[eed4b331-af80-45b5-a80b-19c9ea444b2e] | ||
description = "Four-digit number that is not an Armstrong number" | ||
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[f971ced7-8d68-4758-aea1-d4194900b864] | ||
description = "Seven-digit number that is an Armstrong number" | ||
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[7ee45d52-5d35-4fbd-b6f1-5c8cd8a67f18] | ||
description = "Seven-digit number that is not an Armstrong number" | ||
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[5ee2fdf8-334e-4a46-bb8d-e5c19c02c148] | ||
description = "Armstrong number containing seven zeroes" | ||
include = false | ||
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[12ffbf10-307a-434e-b4ad-c925680e1dd4] | ||
description = "The largest and last Armstrong number" | ||
include = false |
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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 is_armstrong_number | ||
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is_armstrong_number: | ||
ret |
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exercises/practice/armstrong-numbers/armstrong_numbers_test.c
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#include "vendor/unity.h" | ||
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extern int is_armstrong_number(unsigned number); | ||
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void setUp(void) { | ||
} | ||
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void tearDown(void) { | ||
} | ||
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void test_zero_is_an_armstrong_number(void) { | ||
TEST_ASSERT_TRUE(is_armstrong_number(0)); | ||
} | ||
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void test_singledigit_numbers_are_armstrong_numbers(void) { | ||
TEST_IGNORE(); | ||
TEST_ASSERT_TRUE(is_armstrong_number(5)); | ||
} | ||
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void test_there_are_no_twodigit_armstrong_numbers(void) { | ||
TEST_IGNORE(); | ||
TEST_ASSERT_FALSE(is_armstrong_number(10)); | ||
} | ||
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void test_threedigit_number_that_is_an_armstrong_number(void) { | ||
TEST_IGNORE(); | ||
TEST_ASSERT_TRUE(is_armstrong_number(153)); | ||
} | ||
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void test_threedigit_number_that_is_not_an_armstrong_number(void) { | ||
TEST_IGNORE(); | ||
TEST_ASSERT_FALSE(is_armstrong_number(100)); | ||
} | ||
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void test_fourdigit_number_that_is_an_armstrong_number(void) { | ||
TEST_IGNORE(); | ||
TEST_ASSERT_TRUE(is_armstrong_number(9474)); | ||
} | ||
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void test_fourdigit_number_that_is_not_an_armstrong_number(void) { | ||
TEST_IGNORE(); | ||
TEST_ASSERT_FALSE(is_armstrong_number(9475)); | ||
} | ||
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void test_sevendigit_number_that_is_an_armstrong_number(void) { | ||
TEST_IGNORE(); | ||
TEST_ASSERT_TRUE(is_armstrong_number(9926315)); | ||
} | ||
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void test_sevendigit_number_that_is_not_an_armstrong_number(void) { | ||
TEST_IGNORE(); | ||
TEST_ASSERT_FALSE(is_armstrong_number(9926314)); | ||
} | ||
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int main(void) { | ||
UNITY_BEGIN(); | ||
RUN_TEST(test_zero_is_an_armstrong_number); | ||
RUN_TEST(test_singledigit_numbers_are_armstrong_numbers); | ||
RUN_TEST(test_there_are_no_twodigit_armstrong_numbers); | ||
RUN_TEST(test_threedigit_number_that_is_an_armstrong_number); | ||
RUN_TEST(test_threedigit_number_that_is_not_an_armstrong_number); | ||
RUN_TEST(test_fourdigit_number_that_is_an_armstrong_number); | ||
RUN_TEST(test_fourdigit_number_that_is_not_an_armstrong_number); | ||
RUN_TEST(test_sevendigit_number_that_is_an_armstrong_number); | ||
RUN_TEST(test_sevendigit_number_that_is_not_an_armstrong_number); | ||
return UNITY_END(); | ||
} |
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