Create the Sieve of Eratosthenes exercise. (#101)

Also, a script to automate adding new exercises.
This commit is contained in:
Glenn Jackman
2023-09-28 20:22:51 -04:00
committed by GitHub
parent ca7535eeb6
commit d7e5e36502
11 changed files with 457 additions and 0 deletions

103
bin/add-exercise Executable file
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#!/usr/bin/env bash
set -euo pipefail
if (( $# != 1 )); then
echo >&2 "Populates a new directory for a practice exercise."
echo >&2 "Usage: $0 <exercise-slug>"
exit 1
fi
die() { echo >&2 "$*"; exit 1; }
required_tool() {
command -v "$1" >/dev/null 2>&1 ||
die "$1 is required but not installed. Please install it and make sure it's in your PATH."
}
required_tool jq
required_tool curl
[[ -f ./bin/fetch-configlet ]] || die "run this script from the repo's root directory."
slug="${1}"
name=$(echo "${slug}" | sed 's/\b\w/\u&/g; s/-/ /g') # assumes GNU sed
it_exists=$(
jq --arg slug "${slug}" '
.exercises.practice
| map(select(.slug == $slug))
| length > 0
' config.json
)
[[ ${it_exists} == false ]] || die "${slug} already exists in config.json"
# Add entry for exercise in config.json
./bin/fetch-configlet
jq --arg slug "${slug}" \
--arg uuid "$(./bin/configlet uuid)" \
--arg name "${name}" \
'
.exercises.practice += [
{
slug: $slug,
name: $name,
uuid: $uuid,
practices: [],
prerequisites: [],
difficulty: 1
}
]
' config.json > config.json.tmp \
&& mv config.json.tmp config.json
# Sync the exercise
./bin/configlet sync --update --yes \
--tests include \
--metadata \
--docs \
--exercise "${slug}"
cp lib/test-words.8th "exercises/practice/${slug}"
cat << END_TEST > "exercises/practice/${slug}/test.8th"
"test-words.8th" dup . cr f:include
"${slug}.8th" dup . cr f:include
"${slug}-tests.8th" dup . cr f:include
bye
END_TEST
touch "exercises/practice/${slug}/${slug}.8th"
touch "exercises/practice/${slug}/.meta/example.8th"
curl --silent "https://raw.githubusercontent.com/exercism/problem-specifications/main/exercises/${slug}/canonical-data.json" > "exercises/practice/${slug}/${slug}-tests.8th"
echo
read -rp 'Your github username: ' author
conf="exercises/practice/${slug}/.meta/config.json"
jq --arg slug "${slug}" \
--arg author "${author}" \
'
.authors = [$author] |
.files = {
solution: [$slug + ".8th"],
test: [$slug + "-tests.8th"],
example: [".meta/example.8th"]
}
' "${conf}" > "${conf}.tmp" \
&& mv "${conf}.tmp" "${conf}"
echo
ls -laR "exercises/practice/${slug}"
cat << NEXT_STEPS
Your next steps are:
- Create the test suite in 'exercises/practice/${slug}/${slug}-tests.8th'
based on the canonical data at 'https://github.com/exercism/problem-specifications/blob/main/exercises/${slug}/canonical-data.json'
- Any test cases you don't implement, mark them in 'exercises/practice/${slug}/.meta/tests.toml' with "include = false"
- Create the example solution in 'exercises/practice/${slug}/.meta/example.8th'
- Verify the example solution by running 'bin/test-no-docker ${slug}'
- Create the stub solution in 'exercises/practice/${slug}/${slug}.8th'
- Update the 'difficulty' value for the exercise's entry in the 'config.json' file
- Validate CI using 'bin/configlet lint'
NEXT_STEPS

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@@ -234,6 +234,14 @@
"prerequisites": [],
"difficulty": 9,
"practices": []
},
{
"slug": "sieve",
"name": "Sieve",
"uuid": "e31eac0d-cece-440e-a2be-1431e36284bf",
"practices": [],
"prerequisites": [],
"difficulty": 8
}
]
},

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# Instructions
Your task is to create a program that implements the Sieve of Eratosthenes algorithm to find prime numbers.
A prime number is a number that is only divisible by 1 and itself.
For example, 2, 3, 5, 7, 11, and 13 are prime numbers.
The Sieve of Eratosthenes is an ancient algorithm that works by taking a list of numbers and crossing out all the numbers that aren't prime.
A number that is **not** prime is called a "composite number".
To use the Sieve of Eratosthenes, you first create a list of all the numbers between 2 and your given number.
Then you repeat the following steps:
1. Find the next unmarked number in your list. This is a prime number.
2. Mark all the multiples of that prime number as composite (not prime).
You keep repeating these steps until you've gone through every number in your list.
At the end, all the unmarked numbers are prime.
~~~~exercism/note
[Wikipedia's Sieve of Eratosthenes article][eratosthenes] has a useful graphic that explains the algorithm.
The tests don't check that you've implemented the algorithm, only that you've come up with the correct list of primes.
A good first test is to check that you do not use division or remainder operations.
[eratosthenes]: https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes
~~~~

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# Introduction
You bought a big box of random computer parts at a garage sale.
You've started putting the parts together to build custom computers.
You want to test the performance of different combinations of parts, and decide to create your own benchmarking program to see how your computers compare.
You choose the famous "Sieve of Eratosthenes" algorithm, an ancient algorithm, but one that should push your computers to the limits.

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{
"authors": [
"glennj"
],
"files": {
"solution": [
"sieve.8th"
],
"test": [
"sieve-tests.8th"
],
"example": [
".meta/example.8th"
]
},
"blurb": "Use the Sieve of Eratosthenes to find all the primes from 2 up to a given number.",
"source": "Sieve of Eratosthenes at Wikipedia",
"source_url": "https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes"
}

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(* from https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes#Algorithm_and_variants
*
* algorithm Sieve of Eratosthenes is
* input: an integer n > 1.
* output: all prime numbers from 2 through n.
*
* let A be an array of Boolean values, indexed by integers 2 to n,
* initially all set to true.
*
* for i = 2, 3, 4, ..., not exceeding √n do
* if A[i] is true
* for j = i2, i2+i, i2+2i, i2+3i, ..., not exceeding n do
* set A[j] := false
*
* return all i such that A[i] is true.
*)
: make-flag-array \ -- a
( drop true ) 0 r@ a:generate
0 false a:!
1 false a:!
;
: mark-multiples-of \ a i -- a
2dup a:@ !if 2drop ;; then
drop
dup dup n:* \ a i idx (initial idx is i^2)
repeat
third over \ a i idx a idx
false a:! \ a i idx a
drop over n:+
dup r@ n:>
until!
2drop
;
: mark-multiples \ a -- a
' mark-multiples-of 2 r@ n:sqrt loop
;
: extract-primes \ a1 -- a2
a:new >r
( if r> a:push >r else drop then ) a:each
drop r>
;
: primes \ n -- a
>r
make-flag-array
mark-multiples
extract-primes
rdrop
;

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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.
[88529125-c4ce-43cc-bb36-1eb4ddd7b44f]
description = "no primes under two"
[4afe9474-c705-4477-9923-840e1024cc2b]
description = "find first prime"
[974945d8-8cd9-4f00-9463-7d813c7f17b7]
description = "find primes up to 10"
[2e2417b7-3f3a-452a-8594-b9af08af6d82]
description = "limit is prime"
[92102a05-4c7c-47de-9ed0-b7d5fcd00f21]
description = "find primes up to 1000"

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5 tests
"no primes under two"
[]
( 1 primes )
test_array_eq_num
SKIP-REST-OF-TESTS
"find first prime"
[2]
( 2 primes )
test_array_eq_num
"find primes up to 10"
[2, 3, 5, 7]
( 10 primes )
test_array_eq_num
"limit is prime"
[2, 3, 5, 7, 11, 13]
( 13 primes )
test_array_eq_num
"find primes up to 1000"
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53,
59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131,
137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223,
227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311,
313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409,
419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503,
509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613,
617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719,
727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827,
829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941,
947, 953, 967, 971, 977, 983, 991, 997]
( 1000 primes )
test_array_eq_num
end-of-tests

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: primes \ n -- a
;

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needs console/loaded
-1 var, test-count
var tests-passed
var tests-failed
var tests-skipped
true var, run-test
: SKIP-REST-OF-TESTS false run-test ! ;
: tests \ n --
test-count !
;
: test-passed \ s --
1 tests-passed n:+!
con:green con:onBlack . space " ... OK" . con:white con:onBlack cr
;
: test-skipped \ s --
1 tests-skipped n:+!
con:cyan con:onBlack . space " ... SKIPPED" . con:white con:onBlack cr
;
: test-failed \ s --
1 tests-failed n:+!
con:red con:onBlack . space " ... FAIL" . con:white con:onBlack cr
;
: isword? \ x -- x f
dup >kind ns:w n:=
;
: run-test? \ -- T
run-test @ if true else "RUN_ALL_TESTS" getenv n:>bool then
;
: test_eq \ s x w -- | s w x --
run-test? !if 2drop test-skipped ;; then
isword? !if swap then
w:exec
n:=
if test-passed else test-failed then
;
: test_eqs \ s x w -- | s w x --
run-test? !if 2drop test-skipped ;; then
isword? !if swap then
w:exec
s:=
if test-passed else test-failed then
;
: test_true \ s w --
run-test? !if drop test-skipped ;; then
w:exec
if test-passed else test-failed then
;
: test_false \ s w --
run-test? !if drop test-skipped ;; then
w:exec
if test-failed else test-passed then
;
: test_null \ s w --
run-test? !if drop test-skipped ;; then
w:exec
null? nip
if test-passed else test-failed then
;
\ compare arrays by testing elements with string equality
: test_eqa \ s x w -- | s w x --
run-test? !if 2drop test-skipped ;; then
isword? !if swap then
w:exec
' s:= a:= 2nip
if test-passed else test-failed then
;
\ Compare a1 to a2. Individual elements are compared with w (e.g., n:cmp).
\ The result n is:
\ - The first non-zero result of ( a1[i] a2[i] w ), or
\ - n:cmp of the lengths of a1 and a2
\ Note: This may be used in some test files. For example, to compare results
\ that are not required to be in a certain order.
: a:cmp SED: a1 a2 w -- n
>r
over a:len nip over a:len nip n:cmp
true mark -rot \ Stack: length-cmp a1 a2
( r@ w:exec nip dup if break else drop then ) a:2each
rdrop \ Done with comparison word
2drop \ Done with a1 and a2
mark?
!if \ Got a non-zero result from a compare
nip
then
;
\ compare arrays by testing elements with numeric equality
: test_array_eq_num \ s x w -- | s w x --
run-test? !if 2drop test-skipped ;; then
isword? !if swap then
w:exec
' n:cmp a:cmp 0 n:=
if test-passed else test-failed then
;
\ Test that array a is equal to the result of word w. Compare arrays by
\ testing elements with array equality. The SED of w is -- a1, where a1
\ is an array of arrays. The elements of each sub-array must be numbers.
: test_eqa2 SED: s a w --
run-test? dup . cr !if 2drop test-skipped ;; then
isword? !if swap then
w:exec
.s
( ' n:= a:= nip nip ) a:= nip nip
if test-passed else test-failed then
;
: test_map_eq \ s m w -- | s w m --
run-test? !if 2drop test-skipped ;; then
isword? !if swap then
w:exec
' n:= m:= 2nip
if test-passed else test-failed then
;
: test_map_neq \ s m w -- | s w m --
run-test? !if 2drop test-skipped ;; then
isword? !if swap then
w:exec
' n:= m:= 2nip
if test-failed else test-passed then
;
\ Num passed + num skipped + num failed should == num tests
: all-tests-run? \ -- T
tests-passed @ tests-skipped @ tests-failed @ n:+ n:+
test-count @ n:=
;
( all-tests-run?
!if con:red con:onBlack "... FAIL - not all tests completed" . con:white con:onBlack cr then
) onexit
\ Print a summary of the tests run
( con:white con:onBlack
test-count @ . space "tests planned - " .
tests-passed @ . space "passed - " .
tests-skipped @ . space "skipped - " .
tests-failed @ . space "failed" . cr
) onexit
\ Set the exit status:
\ 0 = all OK
\ 1 = not all tests were run (some error occurred)
\ 2 = some tests failed
: end-of-tests \ --
all-tests-run?
if
tests-failed @ 0 n:= if 0 else 2 then
else
1
then
die
;

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"test-words.8th" dup . cr f:include
"sieve.8th" dup . cr f:include
"sieve-tests.8th" dup . cr f:include
bye