A matrix library in pure Elixir based on :atomics.

Key features:

• concurrent accessibility: atomics are mutable and can be accessed from multiple processes
• access path only transformations: transformations like transpose change only the access path so the same matrix can be worked on in multiple states by different processes at the same time
• fast accessibility: operations like get/2 and put/3 are very fast and based only on pure Elixir

iex> matrax = Matrax.new(7, 4, seed_fun: fn _, {row, col} -> row + col end)
iex> matrax |> Matrax.to_list_of_lists()
[
    [0, 1, 2, 3],
    [1, 2, 3, 4],
    [2, 3, 4, 5],
    [3, 4, 5, 6],
    [4, 5, 6, 7],
    [5, 6, 7, 8],
    [6, 7, 8, 9]
]

Add matrax to your list of dependencies in mix.exs:

Note: it requires OTP-21.2.1 or later.

def deps do
  [
    {:matrax, "~> 0.3"}
  ]
end

See https://hexdocs.pm/matrax for full documentation.

• Matrax.new/2 - Create new matrix.
• Matrax.get/2 - Returns the integer at the given position.
• Matrax.put/3 - Puts the given integer into the given position.
• Matrax.add/3 - Adds the given increment to the value at given position atomically.
• Matrax.add_get/3 - Adds the given increment to the value at given position atomically and returns result.
• Matrax.sub/3 - Subtracts the given decrement to the value at given position atomically.
• Matrax.sub_get/3 - Subtracts the given decrement to the value at given position atomically and returns result.
• Matrax.exchange/3 - Exchanges the given integer at the given position atomically.
• Matrax.compare_exchange/4 - Compares & exchanges the given integer at the given position atomically.
• Matrax.index_to_position/2 - Converts the given atomics index to position tuple.
• Matrax.position_to_index/2 - Converts the given position tuple to atomics index.
• Matrax.min/1 - Returns smallest integer in matrix.
• Matrax.max/1 - Returns largest integer in matrix.
• Matrax.sum/1 - Returns sum of integers in matrix.
• Matrax.member?/2 - Checks if value exists within matrix.
• Matrax.apply/2 - Applies the given function to all elements of matrix.
• Matrax.to_list/1 - Converts matrix to a flat list.
• Matrax.to_list_of_lists/1 - Converts matrix to list of lists.
• Matrax.row_to_list/2 - Converts row at given index of matrix to list.
• Matrax.column_to_list/2 - Converts column at given index of matrix to list.
• Matrax.copy/1 - Returns a copy of the matrix with a new atomics reference. Can be used to finish access path only modifications.
• Matrax.transpose/1 - Transposes the given matrix. (access path modification only)
• Matrax.flip_lr/1 - Flips the given matrix vertically. (access path modification only)
• Matrax.flip_ud/1 - Flips the given matrix horizontally. (access path modification only)
• Matrax.submatrix/3 - Returns a new submatrix. (access path modification only)
• Matrax.reshape/3 Reshapes matrix. (access path modification only)
• Matrax.diagonal/1 Returns diagonal of matrix. (access path modification only)
• Matrax.row/2 Returns row of matrix. (access path modification only)
• Matrax.column/2 Returns column of matrix. (access path modification only)
• Matrax.argmin/1 Returns position with smallest value.
• Matrax.argmax/1 Returns position with largest value.
• Matrax.find/2 Returns position of value's first occurence or nil.
• Matrax.identity/1 Creates new identity matrix.
• ...

Matrax is MIT licensed.