-
-
Notifications
You must be signed in to change notification settings - Fork 8
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
- Loading branch information
1 parent
2f9903e
commit 07cda7e
Showing
12 changed files
with
3,732 additions
and
0 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,65 @@ | ||
# Instructions | ||
|
||
Given a number determine whether or not it is valid per the Luhn formula. | ||
|
||
The [Luhn algorithm][luhn] is a simple checksum formula used to validate a variety of identification numbers, such as credit card numbers and Canadian Social Insurance Numbers. | ||
|
||
The task is to check if a given string is valid. | ||
|
||
## Validating a Number | ||
|
||
Strings of length 1 or less are not valid. | ||
Spaces are allowed in the input, but they should be stripped before checking. | ||
All other non-digit characters are disallowed. | ||
|
||
### Example 1: valid credit card number | ||
|
||
```text | ||
4539 3195 0343 6467 | ||
``` | ||
|
||
The first step of the Luhn algorithm is to double every second digit, starting from the right. | ||
We will be doubling | ||
|
||
```text | ||
4539 3195 0343 6467 | ||
↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ (double these) | ||
``` | ||
|
||
If doubling the number results in a number greater than 9 then subtract 9 from the product. | ||
The results of our doubling: | ||
|
||
```text | ||
8569 6195 0383 3437 | ||
``` | ||
|
||
Then sum all of the digits: | ||
|
||
```text | ||
8+5+6+9+6+1+9+5+0+3+8+3+3+4+3+7 = 80 | ||
``` | ||
|
||
If the sum is evenly divisible by 10, then the number is valid. | ||
This number is valid! | ||
|
||
### Example 2: invalid credit card number | ||
|
||
```text | ||
8273 1232 7352 0569 | ||
``` | ||
|
||
Double the second digits, starting from the right | ||
|
||
```text | ||
7253 2262 5312 0539 | ||
``` | ||
|
||
Sum the digits | ||
|
||
```text | ||
7+2+5+3+2+2+6+2+5+3+1+2+0+5+3+9 = 57 | ||
``` | ||
|
||
57 is not evenly divisible by 10, so this number is not valid. | ||
|
||
[luhn]: https://en.wikipedia.org/wiki/Luhn_algorithm |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,19 @@ | ||
{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"luhn.s" | ||
], | ||
"test": [ | ||
"luhn_test.c" | ||
], | ||
"example": [ | ||
".meta/example.s" | ||
] | ||
}, | ||
"blurb": "Given a number determine whether or not it is valid per the Luhn formula.", | ||
"source": "The Luhn Algorithm on Wikipedia", | ||
"source_url": "https://en.wikipedia.org/wiki/Luhn_algorithm" | ||
} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,62 @@ | ||
.text | ||
.globl valid | ||
|
||
/* extern int valid(const char *value); */ | ||
valid: | ||
mov x1, x0 | ||
mov x2, #0 /* digit count */ | ||
mov x3, #0 /* digit sum */ | ||
|
||
.first_scan: | ||
ldrb w4, [x1], #1 /* load byte, post-increment */ | ||
cbz w4, .end_first_scan | ||
|
||
cmp w4, #' ' | ||
beq .first_scan | ||
|
||
sub w4, w4, #'0' | ||
cmp w4, #10 | ||
bhs .reject /* unsigned >= */ | ||
|
||
add x2, x2, #1 | ||
b .first_scan | ||
|
||
.end_first_scan: | ||
mov x1, x0 | ||
cmp x2, #2 | ||
blt .reject | ||
|
||
.second_scan: | ||
ldrb w4, [x1], #1 /* load byte, post-increment */ | ||
cbz w4, .end_second_scan | ||
|
||
cmp w4, #' ' | ||
beq .second_scan | ||
|
||
sub w4, w4, #'0' | ||
tst x2, #1 | ||
bne .add | ||
|
||
lsl w4, w4, #1 /* multiply by 2 */ | ||
cmp w4, #10 | ||
blo .add /* unsigned < */ | ||
|
||
sub w4, w4, #9 | ||
|
||
.add: | ||
add x3, x3, x4 | ||
sub x2, x2, #1 | ||
b .second_scan | ||
|
||
.end_second_scan: | ||
mov x6, #10 | ||
udiv x7, x3, x6 /* divide value by 10 */ | ||
msub x0, x7, x6, x3 /* remainder */ | ||
|
||
cmp x0, xzr | ||
cset x0, eq | ||
ret | ||
|
||
.reject: | ||
mov x0, #0 | ||
ret |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,76 @@ | ||
# 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. | ||
|
||
[792a7082-feb7-48c7-b88b-bbfec160865e] | ||
description = "single digit strings can not be valid" | ||
|
||
[698a7924-64d4-4d89-8daa-32e1aadc271e] | ||
description = "a single zero is invalid" | ||
|
||
[73c2f62b-9b10-4c9f-9a04-83cee7367965] | ||
description = "a simple valid SIN that remains valid if reversed" | ||
|
||
[9369092e-b095-439f-948d-498bd076be11] | ||
description = "a simple valid SIN that becomes invalid if reversed" | ||
|
||
[8f9f2350-1faf-4008-ba84-85cbb93ffeca] | ||
description = "a valid Canadian SIN" | ||
|
||
[1cdcf269-6560-44fc-91f6-5819a7548737] | ||
description = "invalid Canadian SIN" | ||
|
||
[656c48c1-34e8-4e60-9a5a-aad8a367810a] | ||
description = "invalid credit card" | ||
|
||
[20e67fad-2121-43ed-99a8-14b5b856adb9] | ||
description = "invalid long number with an even remainder" | ||
|
||
[7e7c9fc1-d994-457c-811e-d390d52fba5e] | ||
description = "invalid long number with a remainder divisible by 5" | ||
|
||
[ad2a0c5f-84ed-4e5b-95da-6011d6f4f0aa] | ||
description = "valid number with an even number of digits" | ||
|
||
[ef081c06-a41f-4761-8492-385e13c8202d] | ||
description = "valid number with an odd number of spaces" | ||
|
||
[bef66f64-6100-4cbb-8f94-4c9713c5e5b2] | ||
description = "valid strings with a non-digit added at the end become invalid" | ||
|
||
[2177e225-9ce7-40f6-b55d-fa420e62938e] | ||
description = "valid strings with punctuation included become invalid" | ||
|
||
[ebf04f27-9698-45e1-9afe-7e0851d0fe8d] | ||
description = "valid strings with symbols included become invalid" | ||
|
||
[08195c5e-ce7f-422c-a5eb-3e45fece68ba] | ||
description = "single zero with space is invalid" | ||
|
||
[12e63a3c-f866-4a79-8c14-b359fc386091] | ||
description = "more than a single zero is valid" | ||
|
||
[ab56fa80-5de8-4735-8a4a-14dae588663e] | ||
description = "input digit 9 is correctly converted to output digit 9" | ||
|
||
[b9887ee8-8337-46c5-bc45-3bcab51bc36f] | ||
description = "very long input is valid" | ||
|
||
[8a7c0e24-85ea-4154-9cf1-c2db90eabc08] | ||
description = "valid luhn with an odd number of digits and non zero first digit" | ||
|
||
[39a06a5a-5bad-4e0f-b215-b042d46209b1] | ||
description = "using ascii value for non-doubled non-digit isn't allowed" | ||
|
||
[f94cf191-a62f-4868-bc72-7253114aa157] | ||
description = "using ascii value for doubled non-digit isn't allowed" | ||
|
||
[8b72ad26-c8be-49a2-b99c-bcc3bf631b33] | ||
description = "non-numeric, non-space char in the middle with a sum that's divisible by 10 isn't allowed" |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,36 @@ | ||
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 |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,5 @@ | ||
.text | ||
.globl valid | ||
|
||
valid: | ||
ret |
Oops, something went wrong.