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* feat: sieve * use signed comparison in primes func. add some commentary
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# Instructions | ||
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Your task is to create a program that implements the Sieve of Eratosthenes algorithm to find prime numbers. | ||
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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. | ||
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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. | ||
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A number that is **not** prime is called a "composite number". | ||
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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: | ||
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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). | ||
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You keep repeating these steps until you've gone through every number in your list. | ||
At the end, all the unmarked numbers are prime. | ||
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~~~~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 | ||
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You bought a big box of random computer parts at a garage sale. | ||
You've started putting the parts together to build custom computers. | ||
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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.wat" | ||
], | ||
"test": [ | ||
"sieve.spec.js" | ||
], | ||
"example": [ | ||
".meta/proof.ci.wat" | ||
], | ||
"invalidator": [ | ||
"package.json" | ||
] | ||
}, | ||
"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", | ||
"custom": { | ||
"version.tests.compatibility": "jest-27", | ||
"flag.tests.task-per-describe": false, | ||
"flag.tests.may-run-long": false, | ||
"flag.tests.includes-optional": false | ||
} | ||
} |
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;; based on algorithm at | ||
;; https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes | ||
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(module | ||
(memory (export "mem") 1) | ||
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(global $i32Size i32 (i32.const 4)) | ||
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(func $location (param i32) (result i32) | ||
(i32.mul (local.get 0) (global.get $i32Size))) | ||
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;; create a sequence of integers, stored at the | ||
;; corresponding memory offset | ||
(func $initialize-work-array (param $limit i32) | ||
(local $i i32) | ||
(local.set $i (i32.const 2)) | ||
(loop $A | ||
(if (i32.le_u (local.get $i) (local.get $limit)) | ||
(then | ||
(i32.store (call $location (local.get $i)) (local.get $i)) | ||
(local.set $i (i32.add (local.get $i) (i32.const 1))) | ||
(br $A))))) | ||
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;; mark multiples of primes as non-prime | ||
(func $mark-multiples (param $limit i32) | ||
(local $i i32) (local $j i32) (local $p i32) (local $sqrt i32) | ||
(local.set $sqrt (i32.trunc_f32_u (f32.sqrt (f32.convert_i32_u (local.get $limit))))) | ||
(local.set $i (i32.const 2)) | ||
(loop $B | ||
(if (i32.le_u (local.get $i) (local.get $sqrt)) | ||
(then | ||
(if (i32.load (call $location (local.get $i))) | ||
(then | ||
(local.set $j (i32.mul (local.get $i) (local.get $i))) | ||
(loop $C | ||
(if (i32.le_u (local.get $j) (local.get $limit)) | ||
(then | ||
(i32.store (call $location (local.get $j)) (i32.const 0)) | ||
(local.set $j (i32.add (local.get $j) (local.get $i))) | ||
(br $C)))))) | ||
(local.set $i (i32.add (local.get $i) (i32.const 1))) | ||
(br $B))))) | ||
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;; find the resulting prime numbers, and | ||
;; store sequentially starting at memory offset 0 | ||
(func $collect-primes (param $limit i32) (result i32) | ||
(local $len i32) (local $i i32) (local $n i32) | ||
(local.set $i (i32.const 2)) | ||
(loop $D | ||
(if (i32.le_u (local.get $i) (local.get $limit)) | ||
(then | ||
(if (local.tee $n (i32.load (call $location (local.get $i)))) | ||
(then | ||
(i32.store (call $location (local.get $len)) (local.get $n)) | ||
(local.set $len (i32.add (local.get $len) (i32.const 1))))) | ||
(local.set $i (i32.add (local.get $i) (i32.const 1))) | ||
(br $D)))) | ||
(return (local.get $len))) | ||
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;; | ||
;; Determine all the prime numbers below a given limit. | ||
;; Return the offset and length of the resulting array of primes. | ||
;; | ||
;; @param {i32} limit - the upper bound for the prime numbers | ||
;; | ||
;; @return {i32} - offset off the u32[] array | ||
;; @return {i32} - length off the u32[] array in elements | ||
;; | ||
(func (export "primes") (param $limit i32) (result i32 i32) | ||
(local $length i32) | ||
(if (i32.lt_s (local.get $limit) (i32.const 2)) | ||
(then (return (i32.const 0) (i32.const 0)))) | ||
(call $initialize-work-array (local.get $limit)) | ||
(call $mark-multiples (local.get $limit)) | ||
(return (i32.const 0) (call $collect-primes (local.get $limit))))) |
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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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[88529125-c4ce-43cc-bb36-1eb4ddd7b44f] | ||
description = "no primes under two" | ||
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[4afe9474-c705-4477-9923-840e1024cc2b] | ||
description = "find first prime" | ||
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[974945d8-8cd9-4f00-9463-7d813c7f17b7] | ||
description = "find primes up to 10" | ||
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[2e2417b7-3f3a-452a-8594-b9af08af6d82] | ||
description = "limit is prime" | ||
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[92102a05-4c7c-47de-9ed0-b7d5fcd00f21] | ||
description = "find primes up to 1000" |
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MIT License | ||
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Copyright (c) 2021 Exercism | ||
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Permission is hereby granted, free of charge, to any person obtaining a copy | ||
of this software and associated documentation files (the "Software"), to deal | ||
in the Software without restriction, including without limitation the rights | ||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
copies of the Software, and to permit persons to whom the Software is | ||
furnished to do so, subject to the following conditions: | ||
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The above copyright notice and this permission notice shall be included in all | ||
copies or substantial portions of the Software. | ||
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
SOFTWARE. |
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export default { | ||
presets: ["@exercism/babel-preset-javascript"], | ||
plugins: [], | ||
}; |
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{ | ||
"exercise": "sieve", | ||
"cases": [ | ||
{ | ||
"uuid": "88529125-c4ce-43cc-bb36-1eb4ddd7b44f", | ||
"description": "no primes under two", | ||
"property": "primes", | ||
"input": { | ||
"limit": 1 | ||
}, | ||
"expected": [] | ||
}, | ||
{ | ||
"uuid": "4afe9474-c705-4477-9923-840e1024cc2b", | ||
"description": "find first prime", | ||
"property": "primes", | ||
"input": { | ||
"limit": 2 | ||
}, | ||
"expected": [2] | ||
}, | ||
{ | ||
"uuid": "974945d8-8cd9-4f00-9463-7d813c7f17b7", | ||
"description": "find primes up to 10", | ||
"property": "primes", | ||
"input": { | ||
"limit": 10 | ||
}, | ||
"expected": [2, 3, 5, 7] | ||
}, | ||
{ | ||
"uuid": "2e2417b7-3f3a-452a-8594-b9af08af6d82", | ||
"description": "limit is prime", | ||
"property": "primes", | ||
"input": { | ||
"limit": 13 | ||
}, | ||
"expected": [2, 3, 5, 7, 11, 13] | ||
}, | ||
{ | ||
"uuid": "92102a05-4c7c-47de-9ed0-b7d5fcd00f21", | ||
"description": "find primes up to 1000", | ||
"property": "primes", | ||
"input": { | ||
"limit": 1000 | ||
}, | ||
"expected": [ | ||
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 | ||
] | ||
} | ||
] | ||
} |
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{ | ||
"name": "@exercism/wasm-acronym", | ||
"description": "Exercism exercises in WebAssembly.", | ||
"author": "Sean McBride", | ||
"type": "module", | ||
"private": true, | ||
"license": "MIT", | ||
"repository": { | ||
"type": "git", | ||
"url": "https://github.com/exercism/wasm", | ||
"directory": "exercises/practice/acronym" | ||
}, | ||
"jest": { | ||
"maxWorkers": 1 | ||
}, | ||
"devDependencies": { | ||
"@babel/core": "^7.23.3", | ||
"@exercism/babel-preset-javascript": "^0.4.0", | ||
"@exercism/eslint-config-javascript": "^0.6.0", | ||
"@types/jest": "^29.5.8", | ||
"@types/node": "^20.9.1", | ||
"babel-jest": "^29.7.0", | ||
"core-js": "^3.33.2", | ||
"eslint": "^8.54.0", | ||
"jest": "^29.7.0" | ||
}, | ||
"dependencies": { | ||
"@exercism/wasm-lib": "^0.2.0" | ||
}, | ||
"scripts": { | ||
"test": "node --experimental-vm-modules node_modules/jest/bin/jest.js ./*", | ||
"watch": "node --experimental-vm-modules node_modules/jest/bin/jest.js --watch ./*", | ||
"lint": "eslint ." | ||
} | ||
} |
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import { compileWat, WasmRunner } from "@exercism/wasm-lib"; | ||
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let wasmModule; | ||
let currentInstance; | ||
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beforeAll(async () => { | ||
try { | ||
const watPath = new URL("./sieve.wat", import.meta.url); | ||
const { buffer } = await compileWat(watPath); | ||
wasmModule = await WebAssembly.compile(buffer); | ||
} catch (err) { | ||
console.log(`Error compiling *.wat: \n${err}`); | ||
process.exit(1); | ||
} | ||
}); | ||
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function primes(limit) { | ||
const [outputOffset, outputLength] = currentInstance.exports.primes(limit); | ||
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const outputBuffer = currentInstance.get_mem_as_i32( | ||
outputOffset, | ||
outputLength | ||
); | ||
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return [...outputBuffer]; | ||
} | ||
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describe("Sieve of Eratosthenes", () => { | ||
beforeEach(async () => { | ||
currentInstance = null; | ||
if (!wasmModule) { | ||
return Promise.reject(); | ||
} | ||
try { | ||
currentInstance = await new WasmRunner(wasmModule); | ||
return Promise.resolve(); | ||
} catch (err) { | ||
console.log(`Error instantiating WebAssembly module: ${err}`); | ||
return Promise.reject(); | ||
} | ||
}); | ||
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test("no primes under two", () => { | ||
expect(primes(1)).toEqual([]); | ||
}); | ||
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xtest("find first prime", () => { | ||
expect(primes(2)).toEqual([2]); | ||
}); | ||
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xtest("find primes up to 10", () => { | ||
expect(primes(10)).toEqual([2, 3, 5, 7]); | ||
}); | ||
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xtest("limit is prime", () => { | ||
expect(primes(13)).toEqual([2, 3, 5, 7, 11, 13]); | ||
}); | ||
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xtest("find primes up to 1000", () => { | ||
expect(primes(1000)).toEqual([ | ||
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 | ||
]); | ||
}); | ||
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}); |
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