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New practice exercise variable-length-quantity #798

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23 changes: 23 additions & 0 deletions config.json
Original file line number Diff line number Diff line change
Expand Up @@ -2593,6 +2593,29 @@
"errors"
],
"difficulty": 8
},
{
"slug": "variable-length-quantity",
"name": "Variable Length Quantity",
"uuid": "2e8b9b75-609d-4c99-947c-28274a9dbf27",
"prerequisites": [
"atoms",
"tuples",
"lists",
"enum",
"case",
"cond",
"if",
"multiple-clause-functions",
"pattern-matching",
"guards",
"integers",
"bit-manipulation"
],
"practices": [
"bit-manipulation"
],
"difficulty": 6
}
],
"foregone": [
Expand Down
32 changes: 32 additions & 0 deletions exercises/practice/variable-length-quantity/.docs/instructions.md
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# Description

Implement variable length quantity encoding and decoding.

The goal of this exercise is to implement [VLQ](https://en.wikipedia.org/wiki/Variable-length_quantity) encoding/decoding.

In short, the goal of this encoding is to encode integer values in a way that would save bytes.
Only the first 7 bits of each byte is significant (right-justified; sort of like an ASCII byte).
So, if you have a 32-bit value, you have to unpack it into a series of 7-bit bytes.
Of course, you will have a variable number of bytes depending upon your integer.
To indicate which is the last byte of the series, you leave bit #7 clear.
In all of the preceding bytes, you set bit #7.

So, if an integer is between `0-127`, it can be represented as one byte.
Although VLQ can deal with numbers of arbitrary sizes, for this exercise we will restrict ourselves to only numbers that fit in a 32-bit unsigned integer.
Here are examples of integers as 32-bit values, and the variable length quantities that they translate to:

```text
NUMBER VARIABLE QUANTITY
00000000 00
00000040 40
0000007F 7F
00000080 81 00
00002000 C0 00
00003FFF FF 7F
00004000 81 80 00
00100000 C0 80 00
001FFFFF FF FF 7F
00200000 81 80 80 00
08000000 C0 80 80 00
0FFFFFFF FF FF FF 7F
```
4 changes: 4 additions & 0 deletions exercises/practice/variable-length-quantity/.formatter.exs
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# Used by "mix format"
[
inputs: ["{mix,.formatter}.exs", "{config,lib,test}/**/*.{ex,exs}"]
]
18 changes: 18 additions & 0 deletions exercises/practice/variable-length-quantity/.meta/config.json
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@@ -0,0 +1,18 @@
{
"authors": ["jiegillet"],
"contributors": [],
"files": {
"example": [
".meta/example.ex"
],
"solution": [
"lib/variable_length_quantity.ex"
],
"test": [
"test/variable_length_quantity_test.exs"
]
},
"blurb": "Implement variable length quantity encoding and decoding.",
"source": "A poor Splice developer having to implement MIDI encoding/decoding.",
"source_url": "https://splice.com"
}
49 changes: 49 additions & 0 deletions exercises/practice/variable-length-quantity/.meta/example.ex
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defmodule VariableLengthQuantity do
@seven_bits Bitwise.<<<(1, 7) - 1
@eight_bit Bitwise.<<<(1, 7)

@doc """
Encode integers into a series of VLQ encoded bytes
"""
@spec encode(integers :: [integer]) :: [integer]
def encode(integers) when is_list(integers) do
Enum.map(integers, &encode/1)
|> Enum.map(&Enum.reverse/1)
|> Enum.concat()
end

def encode(0), do: [0]
def encode(int, leading \\ 0)
def encode(0, _), do: []

def encode(int, leading) do
byte =
int
|> Bitwise.band(@seven_bits)
|> Bitwise.bor(leading)

rest = Bitwise.>>>(int, 7)
[byte | encode(rest, @eight_bit)]
end

@doc """
Decode a series of VLQ encoded bytes into a series of integers
"""
@spec decode(bytes :: [integer]) :: {:ok, [integer]} | {:error, String.t()}
def decode(bytes, _status \\ :complete, acc \\ 0)
def decode([], :complete, _), do: {:ok, []}
def decode([], :incomplete, _), do: {:error, "incomplete sequence"}

def decode([byte | bytes], _status, acc) do
acc =
Bitwise.<<<(acc, 7)
|> Bitwise.bor(Bitwise.band(byte, @seven_bits))

if byte > @seven_bits do
decode(bytes, :incomplete, acc)
else
with {:ok, result} <- decode(bytes, :complete),
do: {:ok, [acc | result]}
end
end
end
87 changes: 87 additions & 0 deletions exercises/practice/variable-length-quantity/.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.
[35c9db2e-f781-4c52-b73b-8e76427defd0]
description = "Encode a series of integers, producing a series of bytes. -> zero"

[be44d299-a151-4604-a10e-d4b867f41540]
description = "Encode a series of integers, producing a series of bytes. -> arbitrary single byte"

[ea399615-d274-4af6-bbef-a1c23c9e1346]
description = "Encode a series of integers, producing a series of bytes. -> largest single byte"

[77b07086-bd3f-4882-8476-8dcafee79b1c]
description = "Encode a series of integers, producing a series of bytes. -> smallest double byte"

[63955a49-2690-4e22-a556-0040648d6b2d]
description = "Encode a series of integers, producing a series of bytes. -> arbitrary double byte"

[29da7031-0067-43d3-83a7-4f14b29ed97a]
description = "Encode a series of integers, producing a series of bytes. -> largest double byte"

[3345d2e3-79a9-4999-869e-d4856e3a8e01]
description = "Encode a series of integers, producing a series of bytes. -> smallest triple byte"

[5df0bc2d-2a57-4300-a653-a75ee4bd0bee]
description = "Encode a series of integers, producing a series of bytes. -> arbitrary triple byte"

[f51d8539-312d-4db1-945c-250222c6aa22]
description = "Encode a series of integers, producing a series of bytes. -> largest triple byte"

[da78228b-544f-47b7-8bfe-d16b35bbe570]
description = "Encode a series of integers, producing a series of bytes. -> smallest quadruple byte"

[11ed3469-a933-46f1-996f-2231e05d7bb6]
description = "Encode a series of integers, producing a series of bytes. -> arbitrary quadruple byte"

[d5f3f3c3-e0f1-4e7f-aad0-18a44f223d1c]
description = "Encode a series of integers, producing a series of bytes. -> largest quadruple byte"

[91a18b33-24e7-4bfb-bbca-eca78ff4fc47]
description = "Encode a series of integers, producing a series of bytes. -> smallest quintuple byte"

[5f34ff12-2952-4669-95fe-2d11b693d331]
description = "Encode a series of integers, producing a series of bytes. -> arbitrary quintuple byte"

[7489694b-88c3-4078-9864-6fe802411009]
description = "Encode a series of integers, producing a series of bytes. -> maximum 32-bit integer input"

[f9b91821-cada-4a73-9421-3c81d6ff3661]
description = "Encode a series of integers, producing a series of bytes. -> two single-byte values"

[68694449-25d2-4974-ba75-fa7bb36db212]
description = "Encode a series of integers, producing a series of bytes. -> two multi-byte values"

[51a06b5c-de1b-4487-9a50-9db1b8930d85]
description = "Encode a series of integers, producing a series of bytes. -> many multi-byte values"

[baa73993-4514-4915-bac0-f7f585e0e59a]
description = "Decode a series of bytes, producing a series of integers. -> one byte"

[72e94369-29f9-46f2-8c95-6c5b7a595aee]
description = "Decode a series of bytes, producing a series of integers. -> two bytes"

[df5a44c4-56f7-464e-a997-1db5f63ce691]
description = "Decode a series of bytes, producing a series of integers. -> three bytes"

[1bb58684-f2dc-450a-8406-1f3452aa1947]
description = "Decode a series of bytes, producing a series of integers. -> four bytes"

[cecd5233-49f1-4dd1-a41a-9840a40f09cd]
description = "Decode a series of bytes, producing a series of integers. -> maximum 32-bit integer"

[e7d74ba3-8b8e-4bcb-858d-d08302e15695]
description = "Decode a series of bytes, producing a series of integers. -> incomplete sequence causes error"

[aa378291-9043-4724-bc53-aca1b4a3fcb6]
description = "Decode a series of bytes, producing a series of integers. -> incomplete sequence causes error, even if value is zero"

[a91e6f5a-c64a-48e3-8a75-ce1a81e0ebee]
description = "Decode a series of bytes, producing a series of integers. -> multiple values"
Original file line number Diff line number Diff line change
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defmodule VariableLengthQuantity do
@doc """
Encode integers into a series of VLQ encoded bytes
"""
@spec encode(integers :: [integer]) :: [integer]
def encode(integers) do
end

@doc """
Decode a series of VLQ encoded bytes into a series of integers
"""
@spec decode(bytes :: [integer]) :: {:ok, [integer]} | {:error, String.t()}
def decode(bytes) do
end
end
28 changes: 28 additions & 0 deletions exercises/practice/variable-length-quantity/mix.exs
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defmodule VariableLengthQuantity.MixProject do
use Mix.Project

def project do
[
app: :variable_length_quantity,
version: "0.1.0",
# elixir: "~> 1.8",
start_permanent: Mix.env() == :prod,
deps: deps()
]
end

# Run "mix help compile.app" to learn about applications.
def application do
[
extra_applications: [:logger]
]
end

# Run "mix help deps" to learn about dependencies.
defp deps do
[
# {:dep_from_hexpm, "~> 0.3.0"},
# {:dep_from_git, git: "https://github.com/elixir-lang/my_dep.git", tag: "0.1.0"}
]
end
end
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ExUnit.start()
ExUnit.configure(exclude: :pending, trace: true)
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