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Merge pull request #123 from keiravillekode/perfect-numbers
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Add perfect-numbers exercise
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keiravillekode authored Jul 16, 2024
2 parents 6da0b2e + c9bfecc commit 4392ea2
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8 changes: 8 additions & 0 deletions config.json
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"prerequisites": [],
"difficulty": 1
},
{
"slug": "perfect-numbers",
"name": "Perfect Numbers",
"uuid": "0978dd36-069b-4570-8436-a3005d8f5dae",
"practices": [],
"prerequisites": [],
"difficulty": 4
},
{
"slug": "resistor-color",
"name": "Resistor Color",
Expand Down
16 changes: 16 additions & 0 deletions exercises/practice/perfect-numbers/.docs/instructions.append.md
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# Instruction append

## Return Value

Return one of the following integers:

| Classification | Return |
|----------------|--------|
| non-positive | 0 |
| deficient | 1 |
| perfect | 2 |
| abundant | 3 |

## Reserved Addresses

No linear memory is required for this exercise.
39 changes: 39 additions & 0 deletions exercises/practice/perfect-numbers/.docs/instructions.md
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# Instructions

Determine if a number is perfect, abundant, or deficient based on Nicomachus' (60 - 120 CE) classification scheme for positive integers.

The Greek mathematician [Nicomachus][nicomachus] devised a classification scheme for positive integers, identifying each as belonging uniquely to the categories of [perfect](#perfect), [abundant](#abundant), or [deficient](#deficient) based on their [aliquot sum][aliquot-sum].
The _aliquot sum_ is defined as the sum of the factors of a number not including the number itself.
For example, the aliquot sum of `15` is `1 + 3 + 5 = 9`.

## Perfect

A number is perfect when it equals its aliquot sum.
For example:

- `6` is a perfect number because `1 + 2 + 3 = 6`
- `28` is a perfect number because `1 + 2 + 4 + 7 + 14 = 28`

## Abundant

A number is abundant when it is less than its aliquot sum.
For example:

- `12` is an abundant number because `1 + 2 + 3 + 4 + 6 = 16`
- `24` is an abundant number because `1 + 2 + 3 + 4 + 6 + 8 + 12 = 36`

## Deficient

A number is deficient when it is greater than its aliquot sum.
For example:

- `8` is a deficient number because `1 + 2 + 4 = 7`
- Prime numbers are deficient

## Task

Implement a way to determine whether a given number is [perfect](#perfect).
Depending on your language track, you may also need to implement a way to determine whether a given number is [abundant](#abundant) or [deficient](#deficient).

[nicomachus]: https://en.wikipedia.org/wiki/Nicomachus
[aliquot-sum]: https://en.wikipedia.org/wiki/Aliquot_sum
18 changes: 18 additions & 0 deletions exercises/practice/perfect-numbers/.eslintrc
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{
"root": true,
"extends": "@exercism/eslint-config-javascript",
"env": {
"jest": true
},
"overrides": [
{
"files": [
"*.spec.js"
],
"excludedFiles": [
"custom.spec.js"
],
"extends": "@exercism/eslint-config-javascript/maintainers"
}
]
}
28 changes: 28 additions & 0 deletions exercises/practice/perfect-numbers/.meta/config.json
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{
"authors": [
"keiravillekode"
],
"files": {
"solution": [
"perfect-numbers.wat"
],
"test": [
"perfect-numbers.spec.js"
],
"example": [
".meta/proof.ci.wat"
],
"invalidator": [
"package.json"
]
},
"blurb": "Determine if a number is perfect, abundant, or deficient based on Nicomachus' (60 - 120 CE) classification scheme for positive integers.",
"source": "Taken from Chapter 2 of Functional Thinking by Neal Ford.",
"source_url": "https://www.oreilly.com/library/view/functional-thinking/9781449365509/",
"custom": {
"version.tests.compatibility": "jest-27",
"flag.tests.task-per-describe": false,
"flag.tests.may-run-long": false,
"flag.tests.includes-optional": false
}
}
59 changes: 59 additions & 0 deletions exercises/practice/perfect-numbers/.meta/proof.ci.wat
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(module

;;
;; Determine if a number is perfect
;;
;; @param {i32} number - The number to check
;;
;; @returns {i32} 0 if non-positive, 1 if deficient, 2 if perfect, 3 if abundant
;;
(func (export "classify") (param $number i32) (result i32)
(local $remaining i32)
(local $p i32)
(local $step i32)
(local $factors i32)
(local $total i32)

(if (i32.le_s (local.get $number) (i32.const 1)) (then
;; The number 1 is deficient, while negative numbers and zero are non-positive.
(return (i32.eq (local.get $number) (i32.const 1)))
))

(local.set $remaining (local.get $number))
(local.set $p (i32.const 2))
(local.set $step (i32.const 1))
(local.set $factors (i32.const 1))

(loop $prime
(if (i32.lt_u (local.get $remaining) (i32.mul (local.get $p) (local.get $p))) (then
(local.set $p (local.get $remaining))
))

(if (i32.eqz (i32.rem_u (local.get $remaining) (local.get $p))) (then
(local.set $total (i32.add (local.get $p) (i32.const 1)))
(local.set $remaining (i32.div_u (local.get $remaining) (local.get $p)))
(loop $power
(if (i32.eqz (i32.rem_u (local.get $remaining) (local.get $p))) (then
(local.set $remaining (i32.div_u (local.get $remaining) (local.get $p)))
(local.set $total (i32.add (i32.mul (local.get $total) (local.get $p)) (i32.const 1)))
(br $power)
))
)
(local.set $factors (i32.mul (local.get $factors) (local.get $total)))
(if (i32.eq (local.get $remaining) (i32.const 1)) (then
(local.set $factors (i32.sub (local.get $factors) (local.get $number)))
(if (i32.lt_u (local.get $factors) (local.get $number)) (then
(return (i32.const 1))
) (else
(return (i32.add (i32.const 2) (i32.gt_u (local.get $factors) (local.get $number))))
))
))
))

(local.set $p (i32.add (local.get $p) (local.get $step)))
(local.set $step (i32.const 2))
(br $prime)
)
(unreachable)
)
)
49 changes: 49 additions & 0 deletions exercises/practice/perfect-numbers/.meta/tests.toml
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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.

[163e8e86-7bfd-4ee2-bd68-d083dc3381a3]
description = "Perfect numbers -> Smallest perfect number is classified correctly"

[169a7854-0431-4ae0-9815-c3b6d967436d]
description = "Perfect numbers -> Medium perfect number is classified correctly"

[ee3627c4-7b36-4245-ba7c-8727d585f402]
description = "Perfect numbers -> Large perfect number is classified correctly"

[80ef7cf8-9ea8-49b9-8b2d-d9cb3db3ed7e]
description = "Abundant numbers -> Smallest abundant number is classified correctly"

[3e300e0d-1a12-4f11-8c48-d1027165ab60]
description = "Abundant numbers -> Medium abundant number is classified correctly"

[ec7792e6-8786-449c-b005-ce6dd89a772b]
description = "Abundant numbers -> Large abundant number is classified correctly"

[e610fdc7-2b6e-43c3-a51c-b70fb37413ba]
description = "Deficient numbers -> Smallest prime deficient number is classified correctly"

[0beb7f66-753a-443f-8075-ad7fbd9018f3]
description = "Deficient numbers -> Smallest non-prime deficient number is classified correctly"

[1c802e45-b4c6-4962-93d7-1cad245821ef]
description = "Deficient numbers -> Medium deficient number is classified correctly"

[47dd569f-9e5a-4a11-9a47-a4e91c8c28aa]
description = "Deficient numbers -> Large deficient number is classified correctly"

[a696dec8-6147-4d68-afad-d38de5476a56]
description = "Deficient numbers -> Edge case (no factors other than itself) is classified correctly"

[72445cee-660c-4d75-8506-6c40089dc302]
description = "Invalid inputs -> Zero is rejected (as it is not a positive integer)"

[2d72ce2c-6802-49ac-8ece-c790ba3dae13]
description = "Invalid inputs -> Negative integer is rejected (as it is not a positive integer)"
1 change: 1 addition & 0 deletions exercises/practice/perfect-numbers/.npmrc
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audit=false
21 changes: 21 additions & 0 deletions exercises/practice/perfect-numbers/LICENSE
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MIT License

Copyright (c) 2021 Exercism

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:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

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.
4 changes: 4 additions & 0 deletions exercises/practice/perfect-numbers/babel.config.js
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export default {
presets: ["@exercism/babel-preset-javascript"],
plugins: [],
};
34 changes: 34 additions & 0 deletions exercises/practice/perfect-numbers/package.json
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{
"name": "@exercism/wasm-perfect-numbers",
"description": "Exercism exercises in WebAssembly.",
"type": "module",
"private": true,
"license": "MIT",
"repository": {
"type": "git",
"url": "https://github.com/exercism/wasm",
"directory": "exercises/practice/perfect-numbers"
},
"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 ."
}
}
90 changes: 90 additions & 0 deletions exercises/practice/perfect-numbers/perfect-numbers.spec.js
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import { compileWat, WasmRunner } from "@exercism/wasm-lib";

let wasmModule;
let currentInstance;

function classify(number) {
return currentInstance.exports.classify(
number
);
}

beforeAll(async () => {
try {
const watPath = new URL("./perfect-numbers.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);
}
});

describe("classify()", () => {
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();
}
});

test("Smallest perfect number is classified correctly", () => {
expect(classify(6)).toBe(2);
});

xtest("Medium perfect number is classified correctly", () => {
expect(classify(28)).toBe(2);
});

xtest("Large perfect number is classified correctly", () => {
expect(classify(33550336)).toBe(2);
});

xtest("Smallest abundant number is classified correctly", () => {
expect(classify(12)).toBe(3);
});

xtest("Medium abundant number is classified correctly", () => {
expect(classify(30)).toBe(3);
});

xtest("Large abundant number is classified correctly", () => {
expect(classify(33550335)).toBe(3);
});

xtest("Smallest prime deficient number is classified correctly", () => {
expect(classify(2)).toBe(1);
});

xtest("Smallest non-prime deficient number is classified correctly", () => {
expect(classify(4)).toBe(1);
});

xtest("Medium deficient number is classified correctly", () => {
expect(classify(32)).toBe(1);
});

xtest("Large deficient number is classified correctly", () => {
expect(classify(33550337)).toBe(1);
});

xtest("Edge case (no factors other than itself) is classified correctly", () => {
expect(classify(1)).toBe(1);
});

xtest("Zero is rejected (as it is not a positive integer)", () => {
expect(classify(0)).toBe(0);
});

xtest("Negative integer is rejected (as it is not a positive integer)", () => {
expect(classify(-1)).toBe(0);
});
});
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