all_your_base
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{
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"authors": [
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"ananthamapod"
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],
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"contributors": [
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"angelikatyborska",
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"ChristianTovar",
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"Cohen-Carlisle",
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"devonestes",
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"neenjaw",
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"parkerl",
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"sotojuan",
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"ybod"
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],
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"files": {
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"solution": [
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"lib/all_your_base.ex"
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],
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"test": [
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"test/all_your_base_test.exs"
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],
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"example": [
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".meta/example.ex"
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]
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},
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"blurb": "Convert a number, represented as a sequence of digits in one base, to any other base."
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}
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{"track":"elixir","exercise":"all-your-base","id":"98d3bf453a6d4f1383988013aadb22c0","url":"https://exercism.org/tracks/elixir/exercises/all-your-base","handle":"negrienko","is_requester":true,"auto_approve":false}
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# Used by "mix format"
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[
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inputs: ["{mix,.formatter}.exs", "{config,lib,test}/**/*.{ex,exs}"]
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]
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# The directory Mix will write compiled artifacts to.
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/_build/
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# If you run "mix test --cover", coverage assets end up here.
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/cover/
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# The directory Mix downloads your dependencies sources to.
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/deps/
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# Where third-party dependencies like ExDoc output generated docs.
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/doc/
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# Ignore .fetch files in case you like to edit your project deps locally.
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/.fetch
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# If the VM crashes, it generates a dump, let's ignore it too.
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erl_crash.dump
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# Also ignore archive artifacts (built via "mix archive.build").
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*.ez
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# Ignore package tarball (built via "mix hex.build").
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all_your_base-*.tar
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# Help
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## Running the tests
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From the terminal, change to the base directory of the exercise then execute the tests with:
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```bash
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$ mix test
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```
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This will execute the test file found in the `test` subfolder -- a file ending in `_test.exs`
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Documentation:
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* [`mix test` - Elixir's test execution tool](https://hexdocs.pm/mix/Mix.Tasks.Test.html)
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* [`ExUnit` - Elixir's unit test library](https://hexdocs.pm/ex_unit/ExUnit.html)
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## Pending tests
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In test suites of practice exercises, all but the first test have been tagged to be skipped.
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Once you get a test passing, you can unskip the next one by commenting out the relevant `@tag :pending` with a `#` symbol.
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For example:
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```elixir
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# @tag :pending
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test "shouting" do
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assert Bob.hey("WATCH OUT!") == "Whoa, chill out!"
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end
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```
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If you wish to run all tests at once, you can include all skipped test by using the `--include` flag on the `mix test` command:
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```bash
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$ mix test --include pending
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```
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Or, you can enable all the tests by commenting out the `ExUnit.configure` line in the file `test/test_helper.exs`.
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```elixir
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# ExUnit.configure(exclude: :pending, trace: true)
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```
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## Useful `mix test` options
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* `test/<FILE>.exs:LINENUM` - runs only a single test, the test from `<FILE>.exs` whose definition is on line `LINENUM`
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* `--failed` - runs only tests that failed the last time they ran
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* `--max-failures` - the suite stops evaluating tests when this number of test failures
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is reached
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* `--seed 0` - disables randomization so the tests in a single file will always be ran
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in the same order they were defined in
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## Submitting your solution
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You can submit your solution using the `exercism submit lib/all_your_base.ex` 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 [Elixir track's documentation](https://exercism.org/docs/tracks/elixir)
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- The [Elixir track's programming category on the forum](https://forum.exercism.org/c/programming/elixir)
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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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If you're stuck on something, it may help to look at some of the [available resources](https://exercism.org/docs/tracks/elixir/resources) out there where answers might be found.
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# All Your Base
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Welcome to All Your Base on Exercism's Elixir 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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Convert a number, represented as a sequence of digits in one base, to any other base.
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Implement general base conversion.
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Given a number in base **a**, represented as a sequence of digits, convert it to base **b**.
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## Note
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- Try to implement the conversion yourself.
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Do not use something else to perform the conversion for you.
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## About [Positional Notation][positional-notation]
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In positional notation, a number in base **b** can be understood as a linear combination of powers of **b**.
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The number 42, _in base 10_, means:
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`(4 * 10^1) + (2 * 10^0)`
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The number 101010, _in base 2_, means:
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`(1 * 2^5) + (0 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0)`
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The number 1120, _in base 3_, means:
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`(1 * 3^3) + (1 * 3^2) + (2 * 3^1) + (0 * 3^0)`
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I think you got the idea!
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_Yes. Those three numbers above are exactly the same. Congratulations!_
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[positional-notation]: https://en.wikipedia.org/wiki/Positional_notation
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## Source
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### Created by
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- @ananthamapod
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### Contributed to by
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- @angelikatyborska
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- @ChristianTovar
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- @Cohen-Carlisle
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- @devonestes
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- @neenjaw
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- @parkerl
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- @sotojuan
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- @ybod
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defmodule AllYourBase do
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@doc """
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Given a number in input base, represented as a sequence of digits, converts it to output base,
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or returns an error tuple if either of the bases are less than 2
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"""
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@spec convert(list, integer, integer) :: {:ok, list} | {:error, String.t()}
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def convert(_digits, input_base, _output_base) when input_base < 2,
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do: {:error, "input base must be >= 2"}
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def convert(_digits, _input_base, output_base) when output_base < 2,
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do: {:error, "output base must be >= 2"}
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def convert([0 | digits], input_base, output_base), do: convert(digits, input_base, output_base)
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def convert(digits, input_base, output_base) do
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unless Enum.all?(digits, &valid_digit?(&1, input_base)) do
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{:error, "all digits must be >= 0 and < input base"}
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else
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result =
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digits
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|> Integer.undigits(input_base)
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|> Integer.digits(output_base)
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{:ok, result}
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end
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end
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defp valid_digit?(digit, base) when digit >= 0 and digit < base, do: true
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defp valid_digit?(_digit, _base), do: false
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end
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defmodule AllYourBase.MixProject do
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use Mix.Project
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def project do
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[
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app: :all_your_base,
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version: "0.1.0",
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# elixir: "~> 1.8",
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start_permanent: Mix.env() == :prod,
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deps: deps()
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]
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end
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# Run "mix help compile.app" to learn about applications.
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def application do
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[
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extra_applications: [:logger]
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]
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end
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# Run "mix help deps" to learn about dependencies.
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defp deps do
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[
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# {:dep_from_hexpm, "~> 0.3.0"},
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# {:dep_from_git, git: "https://github.com/elixir-lang/my_dep.git", tag: "0.1.0"}
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]
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end
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end
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defmodule AllYourBaseTest do
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use ExUnit.Case
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test "convert single bit one to decimal" do
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assert AllYourBase.convert([1], 2, 10) == {:ok, [1]}
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end
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# @tag :pending
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test "convert binary to single decimal" do
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assert AllYourBase.convert([1, 0, 1], 2, 10) == {:ok, [5]}
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end
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# @tag :pending
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test "convert single decimal to binary" do
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assert AllYourBase.convert([5], 10, 2) == {:ok, [1, 0, 1]}
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end
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# @tag :pending
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test "convert binary to multiple decimal" do
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assert AllYourBase.convert([1, 0, 1, 0, 1, 0], 2, 10) == {:ok, [4, 2]}
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end
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# @tag :pending
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test "convert decimal to binary" do
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assert AllYourBase.convert([4, 2], 10, 2) == {:ok, [1, 0, 1, 0, 1, 0]}
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end
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# @tag :pending
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test "convert trinary to hexadecimal" do
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assert AllYourBase.convert([1, 1, 2, 0], 3, 16) == {:ok, [2, 10]}
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end
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# @tag :pending
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test "convert hexadecimal to trinary" do
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assert AllYourBase.convert([2, 10], 16, 3) == {:ok, [1, 1, 2, 0]}
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end
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# @tag :pending
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test "convert 15-bit integer" do
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assert AllYourBase.convert([3, 46, 60], 97, 73) == {:ok, [6, 10, 45]}
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end
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# @tag :pending
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test "convert empty list" do
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assert AllYourBase.convert([], 2, 10) == {:ok, [0]}
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end
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# @tag :pending
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test "convert single zero" do
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assert AllYourBase.convert([0], 10, 2) == {:ok, [0]}
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end
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# @tag :pending
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test "convert multiple zeros" do
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assert AllYourBase.convert([0, 0, 0], 10, 2) == {:ok, [0]}
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end
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# @tag :pending
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test "convert leading zeros" do
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assert AllYourBase.convert([0, 6, 0], 7, 10) == {:ok, [4, 2]}
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end
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# @tag :pending
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test "convert first base is one" do
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assert AllYourBase.convert([0], 1, 10) == {:error, "input base must be >= 2"}
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end
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# @tag :pending
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test "convert first base is zero" do
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assert AllYourBase.convert([], 0, 10) == {:error, "input base must be >= 2"}
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end
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# @tag :pending
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test "convert first base is negative" do
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assert AllYourBase.convert([1], -2, 10) == {:error, "input base must be >= 2"}
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end
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# @tag :pending
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test "convert negative digit" do
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assert AllYourBase.convert([1, -1, 1, 0, 1, 0], 2, 10) ==
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{:error, "all digits must be >= 0 and < input base"}
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end
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# @tag :pending
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test "convert invalid positive digit" do
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assert AllYourBase.convert([1, 2, 1, 0, 1, 0], 2, 10) ==
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{:error, "all digits must be >= 0 and < input base"}
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end
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# @tag :pending
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test "convert second base is one" do
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assert AllYourBase.convert([1, 0, 1, 0, 1, 0], 2, 1) == {:error, "output base must be >= 2"}
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end
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# @tag :pending
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test "convert second base is zero" do
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assert AllYourBase.convert([7], 10, 0) == {:error, "output base must be >= 2"}
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end
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# @tag :pending
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test "convert second base is negative" do
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assert AllYourBase.convert([1], 2, -7) == {:error, "output base must be >= 2"}
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end
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# @tag :pending
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test "convert both bases are negative" do
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assert AllYourBase.convert([1], -2, -7) == {:error, "input base must be >= 2"}
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end
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end
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ExUnit.start()
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ExUnit.configure(exclude: :pending, trace: true)
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