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[gleam] pythagorean-triplet
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‎gleam/pythagorean-triplet/.gitignore

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*.beam
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*.ez
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build
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erl_crash.dump

‎gleam/pythagorean-triplet/HELP.md

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# Help
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## Running the tests
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To run the tests, run the command `gleam test` from within the exercise directory.
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## Submitting your solution
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You can submit your solution using the `exercism submit src/pythagorean_triplet.gleam` command.
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This command will upload your solution to the Exercism website and print the solution page's URL.
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It's possible to submit an incomplete solution which allows you to:
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- See how others have completed the exercise
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- Request help from a mentor
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## Need to get help?
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If you'd like help solving the exercise, check the following pages:
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- The [Gleam track's documentation](https://exercism.org/docs/tracks/gleam)
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- The [Gleam track's programming category on the forum](https://forum.exercism.org/c/programming/gleam)
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- [Exercism's programming category on the forum](https://forum.exercism.org/c/programming/5)
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- The [Frequently Asked Questions](https://exercism.org/docs/using/faqs)
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Should those resources not suffice, you could submit your (incomplete) solution to request mentoring.
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To get help if you're having trouble, you can use one of the following resources:
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- [gleam.run](https://gleam.run/documentation/) is the gleam official documentation.
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- [Discord](https://discord.gg/Fm8Pwmy) is the discord channel.
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- [StackOverflow](https://stackoverflow.com/questions/tagged/gleam) can be used to search for your problem and see if it has been answered already. You can also ask and answer questions.

‎gleam/pythagorean-triplet/README.md

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# Pythagorean Triplet
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Welcome to Pythagorean Triplet on Exercism's Gleam Track.
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If you need help running the tests or submitting your code, check out `HELP.md`.
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## Instructions
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A Pythagorean triplet is a set of three natural numbers, {a, b, c}, for which,
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```text
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a² + b² = c²
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```
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and such that,
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```text
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a < b < c
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```
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For example,
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```text
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3² + 4² = 5².
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```
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Given an input integer N, find all Pythagorean triplets for which `a + b + c = N`.
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For example, with N = 1000, there is exactly one Pythagorean triplet for which `a + b + c = 1000`: `{200, 375, 425}`.
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## Source
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### Created by
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- @jiegillet
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### Based on
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Problem 9 at Project Euler - https://projecteuler.net/problem=9

‎gleam/pythagorean-triplet/gleam.toml

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name = "pythagorean_triplet"
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version = "0.1.0"
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[dependencies]
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gleam_bitwise = "~> 1.2"
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gleam_otp = "~> 0.7 or ~> 1.0"
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gleam_stdlib = "~> 0.32 or ~> 1.0"
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simplifile = "~> 1.0"
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gleam_erlang = ">= 0.25.0 and < 1.0.0"
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[dev-dependencies]
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exercism_test_runner = "~> 1.4"

‎gleam/pythagorean-triplet/manifest.toml

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# This file was generated by Gleam
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# You typically do not need to edit this file
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packages = [
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{ name = "argv", version = "1.0.1", build_tools = ["gleam"], requirements = [], otp_app = "argv", source = "hex", outer_checksum = "A6E9009E50BBE863EB37D963E4315398D41A3D87D0075480FC244125808F964A" },
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{ name = "exercism_test_runner", version = "1.7.0", build_tools = ["gleam"], requirements = ["argv", "gap", "glance", "gleam_community_ansi", "gleam_erlang", "gleam_json", "gleam_stdlib", "simplifile"], otp_app = "exercism_test_runner", source = "hex", outer_checksum = "2FC1BADB19BEC2AE77BFD2D3A606A014C85412A7B874CAFC4BA8CF04B0B257CD" },
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{ name = "gap", version = "1.1.0", build_tools = ["gleam"], requirements = ["gleam_community_ansi", "gleam_stdlib"], otp_app = "gap", source = "hex", outer_checksum = "2EE1B0A17E85CF73A0C1D29DA315A2699117A8F549C8E8D89FA8261BE41EDEB1" },
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{ name = "glance", version = "0.8.2", build_tools = ["gleam"], requirements = ["gleam_stdlib", "glexer"], otp_app = "glance", source = "hex", outer_checksum = "ACF09457E8B564AD7A0D823DAFDD326F58263C01ACB0D432A9BEFDEDD1DA8E73" },
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{ name = "gleam_bitwise", version = "1.3.1", build_tools = ["gleam"], requirements = [], otp_app = "gleam_bitwise", source = "hex", outer_checksum = "B36E1D3188D7F594C7FD4F43D0D2CE17561DE896202017548578B16FE1FE9EFC" },
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{ name = "gleam_community_ansi", version = "1.4.0", build_tools = ["gleam"], requirements = ["gleam_community_colour", "gleam_stdlib"], otp_app = "gleam_community_ansi", source = "hex", outer_checksum = "FE79E08BF97009729259B6357EC058315B6FBB916FAD1C2FF9355115FEB0D3A4" },
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{ name = "gleam_community_colour", version = "1.3.0", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "gleam_community_colour", source = "hex", outer_checksum = "A49A5E3AE8B637A5ACBA80ECB9B1AFE89FD3D5351FF6410A42B84F666D40D7D5" },
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{ name = "gleam_erlang", version = "0.25.0", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "gleam_erlang", source = "hex", outer_checksum = "054D571A7092D2A9727B3E5D183B7507DAB0DA41556EC9133606F09C15497373" },
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{ name = "gleam_json", version = "1.0.0", build_tools = ["gleam"], requirements = ["gleam_stdlib", "thoas"], otp_app = "gleam_json", source = "hex", outer_checksum = "8B197DD5D578EA6AC2C0D4BDC634C71A5BCA8E7DB5F47091C263ECB411A60DF3" },
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{ name = "gleam_otp", version = "0.10.0", build_tools = ["gleam"], requirements = ["gleam_erlang", "gleam_stdlib"], otp_app = "gleam_otp", source = "hex", outer_checksum = "0B04FE915ACECE539B317F9652CAADBBC0F000184D586AAAF2D94C100945D72B" },
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{ name = "gleam_stdlib", version = "0.36.0", build_tools = ["gleam"], requirements = [], otp_app = "gleam_stdlib", source = "hex", outer_checksum = "C0D14D807FEC6F8A08A7C9EF8DFDE6AE5C10E40E21325B2B29365965D82EB3D4" },
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{ name = "glexer", version = "0.7.0", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "glexer", source = "hex", outer_checksum = "4484942A465482A0A100936E1E5F12314DB4B5AC0D87575A7B9E9062090B96BE" },
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{ name = "simplifile", version = "1.5.0", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "simplifile", source = "hex", outer_checksum = "EB9AA8E65E5C1E3E0FDCFC81BC363FD433CB122D7D062750FFDF24DE4AC40116" },
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{ name = "thoas", version = "0.4.1", build_tools = ["rebar3"], requirements = [], otp_app = "thoas", source = "hex", outer_checksum = "4918D50026C073C4AB1388437132C77A6F6F7C8AC43C60C13758CC0ADCE2134E" },
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]
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[requirements]
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exercism_test_runner = { version = "~> 1.4" }
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gleam_bitwise = { version = "~> 1.2" }
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gleam_erlang = { version = ">= 0.25.0 and < 1.0.0"}
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gleam_otp = { version = "~> 0.7 or ~> 1.0" }
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gleam_stdlib = { version = "~> 0.32 or ~> 1.0" }
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simplifile = { version = "~> 1.0" }

‎gleam/pythagorean-triplet/src/pythagorean_triplet.gleam

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import gleam/list
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pub type Triplet {
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Triplet(a: Int, b: Int, c: Int)
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}
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pub fn triplets_with_sum(sum: Int) -> List(Triplet) {
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use a <- list.flat_map(list.range(3, sum / 3))
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use b <- list.filter_map(list.range(a + 1, { sum - a } / 2))
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let c = sum - a - b
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case a * a + b * b == c * c {
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True -> Ok(Triplet(a, b, c))
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False -> Error(Nil)
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}
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}

‎gleam/pythagorean-triplet/test/pythagorean_triplet_test.gleam

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import exercism/should
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import exercism/test_runner
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import pythagorean_triplet.{Triplet}
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pub fn main() {
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test_runner.main()
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}
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pub fn triplets_whose_sum_is_12_test() {
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pythagorean_triplet.triplets_with_sum(12)
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|> should.equal([Triplet(3, 4, 5)])
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}
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pub fn triplets_whose_sum_is_108_test() {
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pythagorean_triplet.triplets_with_sum(108)
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|> should.equal([Triplet(27, 36, 45)])
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}
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pub fn triplets_whose_sum_is_1000_test() {
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pythagorean_triplet.triplets_with_sum(1000)
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|> should.equal([Triplet(200, 375, 425)])
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}
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pub fn no_matching_triplets_for_1001_test() {
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pythagorean_triplet.triplets_with_sum(1001)
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|> should.equal([])
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}
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pub fn returns_all_matching_triplets_test() {
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pythagorean_triplet.triplets_with_sum(90)
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|> should.equal([Triplet(9, 40, 41), Triplet(15, 36, 39)])
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}
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pub fn several_matching_triplets_test() {
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pythagorean_triplet.triplets_with_sum(840)
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|> should.equal([
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Triplet(40, 399, 401),
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Triplet(56, 390, 394),
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Triplet(105, 360, 375),
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Triplet(120, 350, 370),
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Triplet(140, 336, 364),
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Triplet(168, 315, 357),
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Triplet(210, 280, 350),
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Triplet(240, 252, 348),
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])
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}

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