defmodule Aja.Vector do # TODO remove doc hack when stop supporting 1.10 plusplusplus_doc = ~S""" ## Convenience [`+++/2`](`Aja.+++/2`) operator The `Aja.+++/2` operator can make appending to a vector more compact by aliasing `Aja.Vector.concat/2`: iex> import Aja iex> vec([1, 2, 3]) +++ vec([4, 5]) vec([1, 2, 3, 4, 5]) """ @moduledoc ~s""" Fast persistent vector with efficient appends and random access. Persistent vectors have been introduced by Clojure as an efficient alternative to lists. Many operations for `Aja.Vector` run in effective constant time (length, random access, appends...), unlike linked lists for which most operations run in linear time. Functions that need to go through the whole collection like `map/2` or `foldl/3` are as often fast as their list equivalents, or sometimes even slightly faster. Vectors also use less memory than lists for "big" collections (see the [Memory usage section](#module-memory-usage)). Make sure to read the [Efficiency guide section](#module-efficiency-guide) to get the best performance out of vectors. Erlang's [`:array`](`:array`) module offer similar functionalities. However `Aja.Vector`: - is a better Elixir citizen: pipe-friendliness, `Access` behaviour, `Enum` / `Inspect` / `Collectable` protocols - is heavily optimized and should offer higher performance in most use cases, especially "loops" like `map/2` / `to_list/1` / `foldl/3` - mirrors most of the `Enum` module API (together with `Aja.Enum`) with highly optimized versions for vectors (`Aja.Enum.join/1`, `Aja.Enum.sum/1`, `Aja.Enum.random/1`...) - supports negative indexing (e.g. `-1` corresponds to the last element) - optionally implements the `Jason.Encoder` protocol if `Jason` is installed Note: most of the design is inspired by [this series of blog posts](https://hypirion.com/musings/understanding-persistent-vector-pt-1) describing the Clojure implementation, but a branching factor of `16 = 2 ^ 4` has been picked instead of `32 = 2 ^ 5`. This choice was made following performance benchmarking that showed better overall performance for this particular implementation. ## Examples iex> vector = Aja.Vector.new(1..10) vec([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) iex> Aja.Vector.append(vector, :foo) vec([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, :foo]) iex> vector[3] 4 iex> Aja.Vector.replace_at(vector, -1, :bar) vec([1, 2, 3, 4, 5, 6, 7, 8, 9, :bar]) iex> 3 in vector true ## Access behaviour `Aja.Vector` implements the `Access` behaviour. iex> vector = Aja.Vector.new(1..10) iex> vector[3] 4 iex> put_in(vector[5], :foo) vec([1, 2, 3, 4, 5, :foo, 7, 8, 9, 10]) iex> {9, updated} = pop_in(vector[8]); updated vec([1, 2, 3, 4, 5, 6, 7, 8, 10]) ## Convenience [`vec/1`](`Aja.vec/1`) and [`vec_size/1`](`Aja.vec_size/1`) macros The `Aja.Vector` module can be used without any macro. The `Aja.vec/1` macro does however provide some syntactic sugar to make it more convenient to work with vectors of known size, namely: - pattern match on elements for vectors of known size - construct new vectors of known size faster, by generating the AST at compile time Examples: iex> import Aja iex> vec([1, 2, 3]) vec([1, 2, 3]) iex> vec([1, 2, var, _, _, _]) = Aja.Vector.new(1..6); var 3 iex> vec(first ||| last) = Aja.Vector.new(0..99_999); {first, last} {0, 99999} The `Aja.vec_size/1` macro can be used in guards: iex> import Aja iex> match?(v when vec_size(v) > 99, Aja.Vector.new(1..100)) true #{if Version.compare(System.version(), "1.11.0") != :lt do plusplusplus_doc end} ## Pattern-matching and opaque type An `Aja.Vector` is represented internally using the `%Aja.Vector{}` struct. This struct can be used whenever there's a need to pattern match on something being an `Aja.Vector`: iex> match?(%Aja.Vector{}, Aja.Vector.new()) true Note, however, that `Aja.Vector` should be considered an opaque type: its struct internal fields must not be accessed directly (even if not enforced by dialyzer because of pattern-matching). As discussed in the previous section, [`vec/1`](`Aja.vec/1`) makes it possible to pattern match on size and elements as well as checking the type. ## Memory usage Vectors have a small overhead over lists for smaller collections, but are using far less memory for bigger collections: iex> memory_for = fn n -> [Enum.to_list(1..n), Aja.Vector.new(1..n)] |> Enum.map(&:erts_debug.size/1) end iex> memory_for.(1) [2, 32] iex> memory_for.(10) [20, 32] iex> memory_for.(100) [200, 151] iex> memory_for.(10_000) [20000, 11371] If you need to work with vectors containing mostly the same value, `Aja.Vector.duplicate/2` is highly efficient both in time and memory (logarithmic). It minimizes the number of actual copies and reuses the same nested structures under the hood: iex> Aja.Vector.duplicate(0, 10_000) |> :erts_debug.size() 117 iex> Aja.Vector.duplicate(0, 10_000) |> :erts_debug.flat_size() # when shared over processes / ETS 11371 Even a 1B x 1B matrix of the same element costs virtually nothing! big_n = 1_000_000_000 0 |> Aja.Vector.duplicate(big_n) |> Aja.Vector.duplicate(big_n) |> :erts_debug.size() 539 ## Efficiency guide If you are using vectors and not lists, chances are that you care about performance. Here are a couple notes about how to use vectors in an optimal way. Most functions from this module are highly efficient, those that are not will indicate it in their documentation. But remember the golden rule: **in case of doubt, always benchmark**. ### Avoid prepending Appending is very efficient, but prepending is highly inefficient since the whole array needs to be reconstructed. **DON'T** Aja.Vector.prepend(vector, :foo) **DO** [:foo | list] # use lists Aja.Vector.append(vector, :foo) ### Avoid deletions This implementation of persistent vectors has many advantages, but it does not support efficient deletion, with the exception of the last element that can be popped very efficiently (`Aja.Vector.pop_last/1`, `Aja.Vector.delete_last/1`). Deleting close to the end of the vector using `Aja.Vector.delete_at/2` or `Aja.Vector.pop_at/3` is still fairly fast, but deleting near the beginning needs to reconstruct most of the vector. If you need to be able to delete arbitrary indexes, chances are you should consider an alternative data structure. Another possibility could be to use sparse arrays, defining `nil` as a deleted value (but then the indexing and size won't reflect this). **DON'T** Aja.Vector.pop_at(vector, 3) Aja.Vector.delete_at(vector, 3) pop_in(vector[3]) **DO** Aja.Vector.pop_last(vector) Aja.Vector.delete_last(vector) Aja.Vector.delete_at(vector, -3) # close to the end Aja.Vector.replace_at(vector, 3, nil) ### Successive appends If you just need to append all elements of an enumerable, it is more efficient to use `Aja.Vector.concat/2` or its alias `Aja.+++/2` than successive calls to `Aja.Vector.append/2`: **DON'T** Enum.reduce(enumerable, vector, fn val, acc -> Aja.Vector.append(acc, val) end) **DO** Aja.Vector.concat(vector, enumerable) #{if Version.compare(System.version(), "1.11.0") != :lt do "vector +++ enumerable" end} ### Prefer `Aja.Enum` and `Aja.Vector` to `Enum` for vectors The `Aja.Enum` module reimplements (nearly) all functions from the `Enum` module to offer optimal performance when operating on vectors, and should be used over `Enum` functions whenever possible (even if `Aja.Vector` implements the `Enumerable` and `Collectable` protocols for convienience): **DON'T** Enum.sum(vector) Enum.to_list(vector) Enum.reduce(vector, [], fun) Enum.into(enumerable, %Aja.Vector.new()) Enum.into(enumerable, vector) **DO** Aja.Enum.sum(vector) Aja.Enum.to_list(vector) # or Aja.Vector.to_list(vector) Aja.Enum.reduce(vector, [], fun) # or Aja.Vector.foldl(vector, [], fun) Aja.Vector.new(enumerable) Aja.Enum.into(enumerable, vector) # or Aja.Vector.concat(vector, enumerable) # or vector +++ enumerable Although it depends on the function, you can expect a ~10x speed difference. `for` comprehensions are actually using `Enumerable` as well, so the same advice holds: **DON'T** for value <- vector do do_stuff() end If using it in EEx templates, you might want to cast it to a list: for value <- Aja.Vector.to_list(vector) do do_stuff() end ### Exceptions: `Enum` optimized functions `Enum.member?/2` is implemented in an efficient way, so `in/2` is optimal: **DO** 33 in vector ### Slicing optimization Slicing any subset on the left on the vector using methods from `Aja.Vector` is extremely efficient as the vector internals can be reused: **DO** Aja.Vector.take(vector, 10) # take a positive amount Aja.Vector.drop(vector, -20) # drop a negative amount Aja.Vector.slice(vector, 0, 10) # slicing from 0 Aja.Vector.slice(vector, 0..-5) # slicing from 0 ### `Aja.Vector` and `Aja.Enum` - `Aja.Enum` mirrors `Enum` and should return identical results, therefore many functions would return lists - `Aja.Vector` mirrors `Enum` functions that are returning lists, but returns vectors instead iex> vector = Aja.Vector.new(1..5) iex> Aja.Enum.reverse(vector) [5, 4, 3, 2, 1] iex> Aja.Vector.reverse(vector) vec([5, 4, 3, 2, 1]) iex> Aja.Enum.map(vector, & (&1 * 7)) [7, 14, 21, 28, 35] iex> Aja.Vector.map(vector, & (&1 * 7)) vec([7, 14, 21, 28, 35]) ### Additional notes * If you need to work with vectors containing mostly the same value, use `Aja.Vector.duplicate/2` (more details in the [Memory usage section](#module-memory-usage)). * If you work with functions returning vectors of known size, you can use the `Aja.vec/1` macro to defer the generation of the AST for the internal structure to compile time instead of runtime. Aja.Vector.new([%{foo: a}, %{foo: b}]) # structure created at runtime vec([%{foo: a}, %{foo: b}]) # structure AST defined at compile time """ alias Aja.Vector.{EmptyError, IndexError, Raw} require Raw @behaviour Access @type index :: integer @type value :: term @typep internals(value) :: %__MODULE__{__vector__: Raw.t(value)} @typedoc """ The type of an `Aja.Vector` with elements of the type `value`. It should be considered opaque even though it isn't enforced by dialyzer to enable pattern-matching. """ @type t(value) :: internals(value) @type t :: t(value) @enforce_keys [:__vector__] defstruct [:__vector__] @empty_raw Raw.empty() defmacrop from_internal(internal) do quote do %__MODULE__{__vector__: unquote(internal)} end end @doc """ Returns the number of elements in `vector`. Runs in constant time. ## Examples iex> Aja.Vector.new(10_000..20_000) |> Aja.Vector.size() 10001 iex> Aja.Vector.new() |> Aja.Vector.size() 0 """ @compile {:inline, size: 1} @spec size(t()) :: non_neg_integer def size(%__MODULE__{__vector__: internal}) do Raw.size(internal) end @doc """ Returns a new empty vector. ## Examples iex> Aja.Vector.new() vec([]) """ @compile {:inline, new: 0} @spec new :: t() def new() do from_internal(@empty_raw) end @doc """ Creates a vector from an `enumerable`. Runs in linear time. ## Examples iex> Aja.Vector.new(10..25) vec([10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25]) """ @spec new(Enumerable.t()) :: t() def new(%__MODULE__{} = vector) do vector end def new(enumerable) do case Aja.EnumHelper.to_raw_vec_or_list(enumerable) do list when is_list(list) -> from_list(list) raw -> from_internal(raw) end end @doc """ Creates a vector from an `enumerable` via the given `transform` function. ## Examples iex> Aja.Vector.new(1..10, &(&1 * &1)) vec([1, 4, 9, 16, 25, 36, 49, 64, 81, 100]) """ @spec new(Enumerable.t(), (v1 -> v2)) :: t(v2) when v1: value, v2: value def new(enumerable, fun) when is_function(fun, 1) do case Aja.EnumHelper.to_raw_vec_or_list(enumerable) do list when is_list(list) -> Raw.from_mapped_list(list, fun) |> from_internal() raw -> Raw.map(raw, fun) |> from_internal() end end @doc """ Duplicates the given element `n` times in a vector. `n` is an integer greater than or equal to `0`. If `n` is `0`, an empty list is returned. Runs in logarithmic time regarding `n`. It is very fast and memory efficient (see [Memory usage](#module-memory-usage)). ## Examples iex> Aja.Vector.duplicate(nil, 10) vec([nil, nil, nil, nil, nil, nil, nil, nil, nil, nil]) iex> Aja.Vector.duplicate(:foo, 0) vec([]) """ @spec duplicate(val, non_neg_integer) :: t(val) when val: value def duplicate(value, n) when is_integer(n) and n >= 0 do Raw.duplicate(value, n) |> from_internal() end @doc """ Populates a vector of size `n` by calling `generator_fun` repeatedly. ## Examples # Although not necessary, let's seed the random algorithm iex> :rand.seed(:exrop, {1, 2, 3}) iex> Aja.Vector.repeat(&:rand.uniform/0, 3) vec([0.7498295129076106, 0.06161655489244533, 0.7924073127680873]) """ def repeat(generator_fun, n) when is_function(generator_fun, 0) and is_integer(n) and n >= 0 do Aja.List.repeat(generator_fun, n) |> from_list() end @doc """ Appends a `value` at the end of a `vector`. Runs in effective constant time. ## Examples iex> Aja.Vector.new() |> Aja.Vector.append(:foo) vec([:foo]) iex> Aja.Vector.new(1..5) |> Aja.Vector.append(:foo) vec([1, 2, 3, 4, 5, :foo]) """ @spec append(t(val), val) :: t(val) when val: value def append(%__MODULE__{__vector__: internal}, value) do Raw.append(internal, value) |> from_internal() end @doc """ Appends all values from an `enumerable` at the end of a `vector`. Runs in effective linear time in respect with the length of `enumerable`, disregarding the size of the `vector`. ## Examples iex> Aja.Vector.new(1..5) |> Aja.Vector.concat(10..15) vec([1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15]) iex> Aja.Vector.new() |> Aja.Vector.concat(10..15) vec([10, 11, 12, 13, 14, 15]) """ @spec concat(t(val), Enumerable.t()) :: t(val) when val: value def concat(%__MODULE__{__vector__: internal}, enumerable) do case Aja.EnumHelper.to_raw_vec_or_list(enumerable) do list when is_list(list) -> Raw.concat_list(internal, list) vector when is_tuple(vector) -> Raw.concat_vector(internal, vector) end |> from_internal() end @doc """ (Inefficient) Prepends `value` at the beginning of the `vector`. Runs in linear time because the whole vector needs to be reconstructuded, and should be avoided. ## Examples iex> Aja.Vector.new() |> Aja.Vector.prepend(:foo) vec([:foo]) iex> Aja.Vector.new(1..5) |> Aja.Vector.prepend(:foo) vec([:foo, 1, 2, 3, 4, 5]) """ @spec prepend(t(val), val) :: t(val) when val: value def prepend(%__MODULE__{__vector__: internal}, value) do Raw.prepend(internal, value) |> from_internal() end @doc """ Returns the first element in the `vector` or `default` if `vector` is empty. Runs in actual constant time. ## Examples iex> Aja.Vector.new(1..10_000) |> Aja.Vector.first() 1 iex> Aja.Vector.new() |> Aja.Vector.first() nil """ @spec first(t(val), default) :: val | default when val: value, default: term def first(vector, default \\ nil) def first(%__MODULE__{__vector__: internal}, default) do case internal do Raw.first_pattern(first) -> first _ -> default end end @doc """ Returns the last element in the `vector` or `default` if `vector` is empty. Runs in constant time (actual, not effective). ## Examples iex> Aja.Vector.new(1..10_000) |> Aja.Vector.last() 10_000 iex> Aja.Vector.new() |> Aja.Vector.last() nil """ @spec last(t(val), default) :: val | default when val: value, default: term def last(vector, default \\ nil) def last(%__MODULE__{__vector__: internal}, default) do case internal do Raw.last_pattern(last) -> last _ -> default end end @doc """ Finds the element at the given `index` (zero-based), and returns it in a ok-entry. If the `index` does not exist, returns `:error`. Supports negative indexing from the end of the `vector`. Runs in effective constant time. ## Examples iex> Aja.Vector.new(1..1_000) |> Aja.Vector.fetch(555) {:ok, 556} iex> Aja.Vector.new(1..1_000) |> Aja.Vector.fetch(1_000) :error iex> Aja.Vector.new(1..1_000) |> Aja.Vector.fetch(-1) {:ok, 1000} """ @impl Access @spec fetch(t(val), index) :: {:ok, val} | :error when val: value def fetch(vector, index) def fetch(%__MODULE__{__vector__: internal}, index) when is_integer(index) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> :error actual_index -> found = Raw.fetch_positive!(internal, actual_index) {:ok, found} end end defdelegate fetch!(vector, index), to: __MODULE__, as: :at! @doc """ Finds the element at the given `index` (zero-based). Returns `default` if `index` is out of bounds. Supports negative indexing from the end of the `vector`. Runs in effective constant time. ## Examples iex> Aja.Vector.new(1..1_000) |> Aja.Vector.at(555) 556 iex> Aja.Vector.new(1..1_000) |> Aja.Vector.at(1_000) nil """ @spec at(t(val), index) :: val | nil when val: value def at(%__MODULE__{__vector__: internal}, index) when is_integer(index) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> nil actual_index -> Raw.fetch_positive!(internal, actual_index) end end @spec at(t(val), index, default) :: val | default when val: value, default: term def at(%__MODULE__{__vector__: internal}, index, default) when is_integer(index) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> default actual_index -> Raw.fetch_positive!(internal, actual_index) end end @doc """ Finds the element at the given `index` (zero-based). Raises an `Aja.Vector.IndexError` if `index` is out of bounds. Supports negative indexing from the end of the `vector`. Runs in effective constant time. ## Examples iex> Aja.Vector.new(1..1_000) |> Aja.Vector.at!(555) 556 iex> Aja.Vector.new(1..1_000) |> Aja.Vector.at!(-10) 991 iex> Aja.Vector.new(1..1_000) |> Aja.Vector.at!(1_000) ** (Aja.Vector.IndexError) out of bound index: 1000 not in -1000..999 """ @spec at!(t(val), index) :: val when val: value def at!(%__MODULE__{__vector__: internal}, index) when is_integer(index) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> raise IndexError, index: index, size: size actual_index -> Raw.fetch_positive!(internal, actual_index) end end @doc """ Returns a copy of `vector` with a replaced `value` at the specified `index`. Returns the `vector` untouched if `index` is out of bounds. Supports negative indexing from the end of the `vector`. Runs in effective constant time. ## Examples iex> Aja.Vector.new(1..8) |> Aja.Vector.replace_at(5, :foo) vec([1, 2, 3, 4, 5, :foo, 7, 8]) iex> Aja.Vector.new(1..8) |> Aja.Vector.replace_at(8, :foo) vec([1, 2, 3, 4, 5, 6, 7, 8]) iex> Aja.Vector.new(1..8) |> Aja.Vector.replace_at(-2, :foo) vec([1, 2, 3, 4, 5, 6, :foo, 8]) """ @spec replace_at(t(val), index, val) :: t(val) when val: value def replace_at(%__MODULE__{__vector__: internal} = vector, index, value) when is_integer(index) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> vector actual_index -> Raw.replace_positive!(internal, actual_index, value) |> from_internal() end end @doc """ Returns a copy of `vector` with a replaced `value` at the specified `index`. Raises an `Aja.Vector.IndexError` if `index` is out of bounds. Supports negative indexing from the end of the `vector`. Runs in effective constant time. ## Examples iex> Aja.Vector.new(1..8) |> Aja.Vector.replace_at!(5, :foo) vec([1, 2, 3, 4, 5, :foo, 7, 8]) iex> Aja.Vector.new(1..8) |> Aja.Vector.replace_at!(-2, :foo) vec([1, 2, 3, 4, 5, 6, :foo, 8]) iex> Aja.Vector.new(1..8) |> Aja.Vector.replace_at!(8, :foo) ** (Aja.Vector.IndexError) out of bound index: 8 not in -8..7 """ @spec replace_at!(t(val), index, val) :: t(val) when val: value def replace_at!(%__MODULE__{__vector__: internal}, index, value) when is_integer(index) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> raise IndexError, index: index, size: size actual_index -> Raw.replace_positive!(internal, actual_index, value) |> from_internal() end end @doc """ Returns a copy of `vector` with an updated value at the specified `index`. Returns the `vector` untouched if `index` is out of bounds. Supports negative indexing from the end of the `vector`. Runs in effective constant time. ## Examples iex> Aja.Vector.new(1..8) |> Aja.Vector.update_at(2, &(&1 * 1000)) vec([1, 2, 3000, 4, 5, 6, 7, 8]) iex> Aja.Vector.new(1..8) |> Aja.Vector.update_at(8, &(&1 * 1000)) vec([1, 2, 3, 4, 5, 6, 7, 8]) iex> Aja.Vector.new(1..8) |> Aja.Vector.update_at(-1, &(&1 * 1000)) vec([1, 2, 3, 4, 5, 6, 7, 8000]) """ @spec update_at(t(val), index, (val -> val)) :: t(val) when val: value def update_at(%__MODULE__{__vector__: internal} = vector, index, fun) when is_integer(index) and is_function(fun) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> vector actual_index -> Raw.update_positive!(internal, actual_index, fun) |> from_internal() end end @doc """ Returns a copy of `vector` with an updated value at the specified `index`. Raises an `Aja.Vector.IndexError` if `index` is out of bounds. Supports negative indexing from the end of the `vector`. Runs in effective constant time. ## Examples iex> Aja.Vector.new(1..8) |> Aja.Vector.update_at!(2, &(&1 * 1000)) vec([1, 2, 3000, 4, 5, 6, 7, 8]) iex> Aja.Vector.new(1..8) |> Aja.Vector.update_at!(-1, &(&1 * 1000)) vec([1, 2, 3, 4, 5, 6, 7, 8000]) iex> Aja.Vector.new(1..8) |> Aja.Vector.update_at!(-9, &(&1 * 1000)) ** (Aja.Vector.IndexError) out of bound index: -9 not in -8..7 """ @spec update_at!(t(val), index, (val -> val)) :: t(val) when val: value def update_at!(%__MODULE__{__vector__: internal}, index, fun) when is_integer(index) and is_function(fun) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> raise IndexError, index: index, size: size actual_index -> Raw.update_positive!(internal, actual_index, fun) |> from_internal() end end @doc """ Removes the last value from the `vector` and returns both the value and the updated vector. Leaves the `vector` untouched if empty. Runs in effective constant time. ## Examples iex> vector = Aja.Vector.new(1..8) iex> {8, updated} = Aja.Vector.pop_last(vector); updated vec([1, 2, 3, 4, 5, 6, 7]) iex> {nil, updated} = Aja.Vector.pop_last(Aja.Vector.new()); updated vec([]) """ @spec pop_last(t(val), default) :: {val | default, t(val)} when val: value, default: term def pop_last(vector, default \\ nil) def pop_last(%__MODULE__{__vector__: internal} = vector, default) do case Raw.pop_last(internal) do {value, new_internal} -> {value, from_internal(new_internal)} :error -> {default, vector} end end @doc """ Removes the last value from the `vector` and returns both the value and the updated vector. Raises an `Aja.Vector.EmptyError` if empty. Runs in effective constant time. ## Examples iex> vector = Aja.Vector.new(1..8) iex> {8, updated} = Aja.Vector.pop_last!(vector); updated vec([1, 2, 3, 4, 5, 6, 7]) iex> {nil, updated} = Aja.Vector.pop_last!(Aja.Vector.new()); updated ** (Aja.Vector.EmptyError) empty vector error """ @spec pop_last!(t(val)) :: {val, t(val)} when val: value def pop_last!(vector) def pop_last!(%__MODULE__{__vector__: internal}) do case Raw.pop_last(internal) do {value, new_internal} -> {value, from_internal(new_internal)} :error -> raise EmptyError end end @doc """ Removes the last value from the `vector` and returns the updated vector. Leaves the `vector` untouched if empty. Runs in effective constant time. ## Examples iex> vector = Aja.Vector.new(1..8) iex> Aja.Vector.delete_last(vector) vec([1, 2, 3, 4, 5, 6, 7]) iex> Aja.Vector.delete_last(Aja.Vector.new()) vec([]) """ @spec delete_last(t(val)) :: t(val) when val: value def delete_last(vector) def delete_last(%__MODULE__{__vector__: internal} = vector) do case Raw.pop_last(internal) do {_value, new_internal} -> from_internal(new_internal) :error -> vector end end @doc """ Removes the last value from the `vector` and returns the updated vector. Raises an `Aja.Vector.EmptyError` if empty. Runs in effective constant time. ## Examples iex> vector = Aja.Vector.new(1..8) iex> Aja.Vector.delete_last!(vector) vec([1, 2, 3, 4, 5, 6, 7]) iex> Aja.Vector.delete_last!(Aja.Vector.new()) ** (Aja.Vector.EmptyError) empty vector error """ @spec delete_last!(t(val)) :: t(val) when val: value def delete_last!(vector) def delete_last!(%__MODULE__{__vector__: internal}) do case Raw.pop_last(internal) do {_value, new_internal} -> from_internal(new_internal) :error -> raise EmptyError end end @doc """ (Inefficient) Returns and removes the value at the specified `index` in the `vector`. Returns the `vector` untouched if `index` is out of bounds. Supports negative indexing from the end of the `vector`. Runs in linear time. Its usage is discouraged, see the [Efficiency guide](#module-efficiency-guide). ## Examples iex> vector = Aja.Vector.new(1..8) iex> {5, updated} = Aja.Vector.pop_at(vector, 4); updated vec([1, 2, 3, 4, 6, 7, 8]) iex> {nil, updated} = Aja.Vector.pop_at(vector, -9); updated vec([1, 2, 3, 4, 5, 6, 7, 8]) """ @spec pop_at(t(val), index, default) :: {val | default, t(val)} when val: value, default: term def pop_at(vector, index, default \\ nil) def pop_at(%__MODULE__{__vector__: internal} = vector, index, default) when is_integer(index) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> {default, vector} actual_index -> {value, new_internal} = Raw.pop_positive!(internal, actual_index, size) {value, from_internal(new_internal)} end end @doc """ (Inefficient) Returns and removes the value at the specified `index` in the `vector`. Raises an `Aja.Vector.IndexError` if `index` is out of bounds. Supports negative indexing from the end of the `vector`. Runs in linear time. Its usage is discouraged, see the [Efficiency guide](#module-efficiency-guide). ## Examples iex> vector = Aja.Vector.new(1..8) iex> {5, updated} = Aja.Vector.pop_at!(vector, 4); updated vec([1, 2, 3, 4, 6, 7, 8]) iex> Aja.Vector.pop_at!(vector, -9) ** (Aja.Vector.IndexError) out of bound index: -9 not in -8..7 """ @spec pop_at!(t(val), index) :: {val, t(val)} when val: value def pop_at!(vector, index) def pop_at!(%__MODULE__{__vector__: internal}, index) when is_integer(index) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> raise IndexError, index: index, size: size actual_index -> {value, new_internal} = Raw.pop_positive!(internal, actual_index, size) {value, from_internal(new_internal)} end end @doc false @impl Access @spec pop(t(val), index) :: {val | nil, t(val)} when val: value defdelegate pop(vector, key), to: __MODULE__, as: :pop_at @doc """ (Inefficient) Returns a copy of `vector` without the value at the specified `index`. Returns the `vector` untouched if `index` is out of bounds. Supports negative indexing from the end of the `vector`. Runs in linear time. Its usage is discouraged, see the [Efficiency guide](#module-efficiency-guide). ## Examples iex> vector = Aja.Vector.new(1..8) iex> Aja.Vector.delete_at(vector, 4) vec([1, 2, 3, 4, 6, 7, 8]) iex> Aja.Vector.delete_at(vector, -9) vec([1, 2, 3, 4, 5, 6, 7, 8]) """ @spec delete_at(t(val), index) :: t(val) when val: value def delete_at(%__MODULE__{__vector__: internal} = vector, index) when is_integer(index) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> vector actual_index -> Raw.delete_positive!(internal, actual_index, size) |> from_internal() end end @doc """ (Inefficient) Returns a copy of `vector` without the value at the specified `index`. Raises an `Aja.Vector.IndexError` if `index` is out of bounds. Supports negative indexing from the end of the `vector`. Runs in linear time. Its usage is discouraged, see the [Efficiency guide](#module-efficiency-guide). ## Examples iex> vector = Aja.Vector.new(1..8) iex> Aja.Vector.delete_at!(vector, 4) vec([1, 2, 3, 4, 6, 7, 8]) iex> Aja.Vector.delete_at!(vector, -9) ** (Aja.Vector.IndexError) out of bound index: -9 not in -8..7 """ @spec delete_at!(t(val), index) :: t(val) when val: value def delete_at!(vector, index) def delete_at!(%__MODULE__{__vector__: internal}, index) when is_integer(index) do size = Raw.size(internal) case Raw.actual_index(index, size) do nil -> raise IndexError, index: index, size: size actual_index -> Raw.delete_positive!(internal, actual_index, size) |> from_internal() end end @doc """ Gets the value from key and updates it, all in one pass. See `Access.get_and_update/3` for more details. ## Examples iex> vector = Aja.Vector.new(1..8) iex> {6, updated} = Aja.Vector.get_and_update(vector, 5, fn current_value -> ...> {current_value, current_value && current_value * 100} ...> end); updated vec([1, 2, 3, 4, 5, 600, 7, 8]) iex> {nil, updated} = Aja.Vector.get_and_update(vector, 8, fn current_value -> ...> {current_value, current_value && current_value * 100} ...> end); updated vec([1, 2, 3, 4, 5, 6, 7, 8]) iex> {4, updated} = Aja.Vector.get_and_update(vector, 3, fn _ -> :pop end); updated vec([1, 2, 3, 5, 6, 7, 8]) iex> {nil, updated} = Aja.Vector.get_and_update(vector, 8, fn _ -> :pop end); updated vec([1, 2, 3, 4, 5, 6, 7, 8]) """ @impl Access @spec get_and_update(t(v), index, (v -> {returned, v} | :pop)) :: {returned, t(v)} when v: value, returned: term def get_and_update(%__MODULE__{__vector__: internal}, index, fun) when is_integer(index) and is_function(fun, 1) do {returned, new_internal} = Raw.get_and_update(internal, index, fun) {returned, from_internal(new_internal)} end @doc """ Converts the `vector` to a list. Runs in linear time. ## Examples iex> Aja.Vector.new(10..25) |> Aja.Vector.to_list() [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25] iex> Aja.Vector.new() |> Aja.Vector.to_list() [] """ @spec to_list(t(val)) :: [val] when val: value def to_list(%__MODULE__{__vector__: internal}) do Raw.to_list(internal) end @doc """ Returns a new vector where each element is the result of invoking `fun` on each corresponding element of `vector`. Runs in linear time. ## Examples iex> Aja.Vector.new(1..10) |> Aja.Vector.map(&(&1 * &1)) vec([1, 4, 9, 16, 25, 36, 49, 64, 81, 100]) """ @spec map(t(v1), (v1 -> v2)) :: t(v2) when v1: value, v2: value def map(%__MODULE__{__vector__: internal}, fun) when is_function(fun, 1) do Raw.map(internal, fun) |> from_internal() end @doc """ Filters the `vector`, i.e. return a new vector containing only elements for which `fun` returns a truthy (neither `false` nor `nil`) value. Runs in linear time. ## Examples iex> vector = Aja.Vector.new(1..100) iex> Aja.Vector.filter(vector, fn i -> rem(i, 13) == 0 end) vec([13, 26, 39, 52, 65, 78, 91]) """ @spec filter(t(val), (val -> as_boolean(term))) :: t(val) when val: value def filter(%__MODULE__{__vector__: internal}, fun) when is_function(fun, 1) do Raw.filter_to_list(internal, fun) |> from_list() end @doc """ Filters the `vector`, i.e. return a new vector containing only elements for which `fun` returns a falsy (either `false` or `nil`) value. Runs in linear time. ## Examples iex> vector = Aja.Vector.new(1..12) iex> Aja.Vector.reject(vector, fn i -> rem(i, 3) == 0 end) vec([1, 2, 4, 5, 7, 8, 10, 11]) """ @spec reject(t(val), (val -> as_boolean(term))) :: t(val) when val: value def reject(%__MODULE__{__vector__: internal}, fun) when is_function(fun, 1) do Raw.reject_to_list(internal, fun) |> from_list() end @doc """ Splits the `vector` in two vectors according to the given function `fun`. Returns a tuple with the first vector containing all the elements in `vector` for which applying `fun` returned a truthy value, and a second vector with all the elements for which applying `fun` returned a falsy value (`false` or `nil`). Returns the same result as `filter/2` and `reject/2` at once, but only walks the `vector` once and calls `fun` exactly once per element. Runs in linear time. ## Examples iex> vector = Aja.Vector.new(1..12) iex> {filtered, rejected} = Aja.Vector.split_with(vector, fn i -> rem(i, 3) == 0 end) iex> filtered vec([3, 6, 9, 12]) iex> rejected vec([1, 2, 4, 5, 7, 8, 10, 11]) """ @spec split_with(t(val), (val -> as_boolean(term))) :: {t(val), t(val)} when val: value def split_with(%__MODULE__{__vector__: internal}, fun) when is_function(fun, 1) do # note: unlike filter/2, optimization does not bring much benefit {filtered, rejected} = internal |> Raw.to_list() |> Enum.split_with(fun) {from_list(filtered), from_list(rejected)} end @doc """ Sorts the `vector` in the same way as `Enum.sort/1`. ## Examples iex> Aja.Vector.new(9..1) |> Aja.Vector.sort() vec([1, 2, 3, 4, 5, 6, 7, 8, 9]) """ @spec sort(t(val)) :: t(val) when val: value def sort(%__MODULE__{__vector__: internal}) do internal |> Raw.to_list() |> Enum.sort() |> from_list() end @doc """ Sorts the `vector` in the same way as `Enum.sort/2`. See `Enum.sort/2` documentation for detailled usage. ## Examples iex> Aja.Vector.new(1..9) |> Aja.Vector.sort(:desc) vec([9, 8, 7, 6, 5, 4, 3, 2, 1]) """ @spec sort( t(val), (val, val -> boolean) | :asc | :desc | module | {:asc | :desc, module} ) :: t(val) when val: value def sort(%__MODULE__{__vector__: internal}, fun) do internal |> Raw.to_list() |> Enum.sort(fun) |> from_list() end @doc """ Sorts the `vector` in the same way as `Enum.sort_by/3`. See `Enum.sort_by/3` documentation for detailled usage. ## Examples iex> vector = Aja.Vector.new(["some", "kind", "of", "monster"]) iex> Aja.Vector.sort_by(vector, &byte_size/1) vec(["of", "some", "kind", "monster"]) iex> Aja.Vector.sort_by(vector, &{byte_size(&1), String.first(&1)}) vec(["of", "kind", "some", "monster"]) """ @spec sort_by( t(val), (val -> mapped_val), (val, val -> boolean) | :asc | :desc | module | {:asc | :desc, module} ) :: t(val) when val: value, mapped_val: value def sort_by(%__MODULE__{__vector__: internal}, mapper, sorter \\ &<=/2) do internal |> Raw.to_list() |> Enum.sort_by(mapper, sorter) |> from_list() end @doc """ Returns a copy of the vector without any duplicated element. The first occurrence of each element is kept. ## Examples iex> Aja.Vector.new([1, 1, 2, 1, 2, 3, 2]) |> Aja.Vector.uniq() vec([1, 2, 3]) """ @spec uniq(t(val)) :: t(val) when val: value def uniq(%__MODULE__{__vector__: internal}) do internal |> Raw.uniq_list() |> from_list() end @doc """ Returns a copy of the vector without elements for which the function `fun` returned duplicate elements. The first occurrence of each element is kept. ## Examples iex> vector = Aja.Vector.new([x: 1, y: 2, z: 1]) vec([x: 1, y: 2, z: 1]) iex> Aja.Vector.uniq_by(vector, fn {_x, y} -> y end) vec([x: 1, y: 2]) """ @spec uniq_by(t(val), (val -> term)) :: t(val) when val: value def uniq_by(%__MODULE__{__vector__: internal}, fun) when is_function(fun, 1) do internal |> Raw.uniq_by_list(fun) |> from_list() end @doc """ Returns a copy of the `vector` where all consecutive duplicated elements are collapsed to a single element. Elements are compared using `===/2`. If you want to remove all duplicated elements, regardless of order, see `uniq/1`. ## Examples iex> Aja.Vector.new([1, 2, 3, 3, 2, 1]) |> Aja.Vector.dedup() vec([1, 2, 3, 2, 1]) iex> Aja.Vector.new([1, 1, 2, 2.0, :three, :three]) |> Aja.Vector.dedup() vec([1, 2, 2.0, :three]) """ @spec dedup(t(val)) :: t(val) when val: value def dedup(%__MODULE__{__vector__: internal}) do internal |> Raw.dedup_list() |> from_list() end @doc """ Returns a copy of the `vector` where all consecutive duplicated elements are collapsed to a single element. The function `fun` maps every element to a term which is used to determine if two elements are duplicates. ## Examples iex> vector = Aja.Vector.new([{1, :a}, {2, :b}, {2, :c}, {1, :a}]) iex> Aja.Vector.dedup_by(vector, fn {x, _} -> x end) vec([{1, :a}, {2, :b}, {1, :a}]) iex> vector = Aja.Vector.new([5, 1, 2, 3, 2, 1]) iex> Aja.Vector.dedup_by(vector, fn x -> x > 2 end) vec([5, 1, 3, 2]) """ @spec dedup_by(t(val), (val -> term)) :: t(val) when val: value def dedup_by(%__MODULE__{__vector__: internal}, fun) when is_function(fun, 1) do internal |> Raw.to_list() |> Enum.dedup_by(fun) |> from_list() end @doc """ Intersperses `separator` between each element of the `vector`. Runs in linear time. ## Examples iex> Aja.Vector.new(1..6) |> Aja.Vector.intersperse(nil) vec([1, nil, 2, nil, 3, nil, 4, nil, 5, nil, 6]) """ @spec intersperse( t(val), separator ) :: t(val | separator) when val: value, separator: value def intersperse(%__MODULE__{__vector__: internal}, separator) do internal |> Raw.intersperse_to_list(separator) |> from_list() end @doc """ Maps and intersperses the `vector` in one pass. Runs in linear time. ## Examples iex> Aja.Vector.new(1..6) |> Aja.Vector.map_intersperse(nil, &(&1 * 10)) vec([10, nil, 20, nil, 30, nil, 40, nil, 50, nil, 60]) """ @spec map_intersperse( t(val), separator, (val -> mapped_val) ) :: t(mapped_val | separator) when val: value, separator: value, mapped_val: value def map_intersperse(%__MODULE__{__vector__: internal}, separator, mapper) when is_function(mapper, 1) do internal |> Raw.map_intersperse_to_list(separator, mapper) |> from_list() end @doc """ Maps the given `fun` over `vector` and flattens the result. This function returns a new vector built by concatenating the results of invoking `fun` on each element of `vector` together. Runs in linear time. ## Examples iex> Aja.Vector.new(0..4) |> Aja.Vector.flat_map(fn i -> List.duplicate(i, i) end) vec([1, 2, 2, 3, 3, 3, 4, 4, 4, 4]) """ @spec flat_map(t(val), (val -> t(mapped_val))) :: t(mapped_val) when val: value, mapped_val: value def flat_map(%__MODULE__{} = vector, fun) when is_function(fun, 1) do vector |> Aja.EnumHelper.flat_map(fun) |> from_list() end @doc """ Folds (reduces) the given `vector` from the left with the function `fun`. Requires an accumulator `acc`. Runs in linear time. ## Examples iex> Aja.Vector.new(1..10) |> Aja.Vector.foldl(0, &+/2) 55 iex> Aja.Vector.new(1..10) |> Aja.Vector.foldl([], & [&1 | &2]) [10, 9, 8, 7, 6, 5, 4, 3, 2, 1] """ @spec foldl(t(val), acc, (val, acc -> acc)) :: acc when val: value, acc: term def foldl(%__MODULE__{__vector__: internal}, acc, fun) when is_function(fun, 2) do Raw.foldl(internal, acc, fun) end @doc """ Folds (reduces) the given `vector` from the right with the function `fun`. Requires an accumulator `acc`. Unlike linked lists, this is as efficient as `foldl/3`. This can typically save a call to `Enum.reverse/1` on the result when building a list. Runs in linear time. ## Examples iex> Aja.Vector.new(1..10) |> Aja.Vector.foldr(0, &+/2) 55 iex> Aja.Vector.new(1..10) |> Aja.Vector.foldr([], & [&1 | &2]) [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] """ @spec foldr(t(val), acc, (val, acc -> acc)) :: acc when val: value, acc: term def foldr(%__MODULE__{__vector__: internal}, acc, fun) when is_function(fun, 2) do Raw.foldr(internal, acc, fun) end @doc """ Invokes the given `fun` to each element in the `vector` to reduce it to a single element, while keeping an accumulator. Returns a tuple where the first element is the mapped vector and the second one is the final accumulator. The function, `fun`, receives two arguments: the first one is the element, and the second one is the accumulator. `fun` must return a tuple with two elements in the form of `{result, accumulator}`. ## Examples iex> vector = Aja.Vector.new([1, 2, 3]) iex> {new_vec, 6} = Aja.Vector.map_reduce(vector, 0, fn x, acc -> {x * 2, x + acc} end) iex> new_vec vec([2, 4, 6]) For example, if `with_index/2` was not implemented, you could implement it as follows: iex> vector = Aja.Vector.new([1, 2, 3]) iex> Aja.Vector.map_reduce(vector, 0, fn x, i -> {{x, i}, i + 1} end) |> elem(0) vec([{1, 0}, {2, 1}, {3, 2}]) """ @spec map_reduce(t(val), acc, (val, acc -> {mapped_val, acc})) :: {t(mapped_val), acc} when val: value, mapped_val: value, acc: any def map_reduce(%__MODULE__{__vector__: internal}, acc, fun) when is_function(fun, 2) do {new_raw, new_acc} = Raw.map_reduce(internal, acc, fun) {from_internal(new_raw), new_acc} end @doc """ Applies the given function to each element in the `vector`, storing the result in a vector and passing it as the accumulator for the next computation. Uses the first element in the `vector` as the starting value. Runs in linear time. ## Examples iex> Aja.Vector.new(1..10) |> Aja.Vector.scan(&+/2) vec([1, 3, 6, 10, 15, 21, 28, 36, 45, 55]) """ @spec scan(t(val), (val, val -> val)) :: val when val: value def scan(%__MODULE__{__vector__: internal}, fun) when is_function(fun, 2) do internal |> Raw.scan(fun) |> from_internal() end @doc """ Applies the given function to each element in the `vector`, storing the result in a vector and passing it as the accumulator for the next computation. Uses the given `acc` as the starting value. Runs in linear time. ## Examples iex> Aja.Vector.new(1..10) |> Aja.Vector.scan(100, &+/2) vec([101, 103, 106, 110, 115, 121, 128, 136, 145, 155]) """ @spec scan(t(val), acc, (val, acc -> acc)) :: acc when val: value, acc: term def scan(%__MODULE__{__vector__: internal}, acc, fun) when is_function(fun, 2) do internal |> Raw.scan(acc, fun) |> from_internal() end @doc """ Returns the `vector` in reverse order. Runs in linear time. ## Examples iex> Aja.Vector.new(1..12) |> Aja.Vector.reverse() vec([12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]) """ @spec reverse(t(val)) :: t(val) when val: value def reverse(%__MODULE__{__vector__: internal}) do internal |> Raw.reverse_to_list([]) |> from_list() end @doc """ Returns the `vector` in reverse order, and concatenates the `tail` (enumerable). Runs in linear time. ## Examples iex> Aja.Vector.new(1..5) |> Aja.Vector.reverse(100..105) vec([5, 4, 3, 2, 1, 100, 101, 102, 103, 104, 105]) """ @spec reverse(t(val), Enumerable.t()) :: t(val) when val: value def reverse(%__MODULE__{__vector__: internal}, tail) do internal |> Raw.reverse_to_list(Aja.EnumHelper.to_list(tail)) |> from_list() end @doc """ Returns a subset of the given `vector` by `index_range`. Works the same as `Enum.slice/2`, see its documentation for more details. Runs in linear time regarding the size of the returned subset. ## Examples iex> Aja.Vector.new(0..100) |> Aja.Vector.slice(80..90) vec([80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90]) iex> Aja.Vector.new(0..100) |> Aja.Vector.slice(-40..-30//1) vec([61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71]) iex> Aja.Vector.new([:only_one]) |> Aja.Vector.slice(0..1000) vec([:only_one]) """ @spec slice(t(val), Range.t()) :: t(val) when val: value def slice(%__MODULE__{} = vector, first..last = index_range) do case first do 0 -> amount = last + 1 if last < 0 do drop(vector, amount) else take(vector, amount) end _ -> vector |> Enum.slice(index_range) |> from_list() end end @doc """ Returns a subset of the given `vector`, from `start_index` (zero-based) with `amount number` of elements if available. Works the same as `Enum.slice/3`, see its documentation for more details. Runs in linear time regarding the size of the returned subset. ## Examples iex> Aja.Vector.new(0..100) |> Aja.Vector.slice(80, 10) vec([80, 81, 82, 83, 84, 85, 86, 87, 88, 89]) iex> Aja.Vector.new(0..100) |> Aja.Vector.slice(-40, 10) vec([61, 62, 63, 64, 65, 66, 67, 68, 69, 70]) iex> Aja.Vector.new([:only_one]) |> Aja.Vector.slice(0, 1000) vec([:only_one]) """ @spec slice(t(val), index, non_neg_integer) :: t(val) when val: value def slice(%__MODULE__{__vector__: internal} = vector, start_index, amount) when is_integer(start_index) and is_integer(amount) and amount >= 0 do if start_index == 0 or start_index == -Raw.size(internal) do Raw.take(internal, amount) |> from_internal() else vector |> Enum.slice(start_index, amount) |> from_list() end end @doc """ Takes an `amount` of elements from the beginning or the end of the `vector`. If a positive `amount` is given, it takes the amount elements from the beginning of the `vector`. If a negative `amount` is given, the amount of elements will be taken from the end. If amount is 0, it returns the empty vector. Time complexity is: - effective constant time when `amount` is positive, as the vector structure can be shared - linear when `amount` is negative, as the vector needs to be reconstructed. ## Examples iex> Aja.Vector.new(0..100) |> Aja.Vector.take(10) vec([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) iex> Aja.Vector.new([:only_one]) |> Aja.Vector.take(1000) vec([:only_one]) iex> Aja.Vector.new(0..10) |> Aja.Vector.take(-5) vec([6, 7, 8, 9, 10]) """ @spec take(t(val), integer) :: t(val) when val: value def take(%__MODULE__{__vector__: internal}, amount) when is_integer(amount) do do_take(internal, amount) |> from_internal() end defp do_take(internal, amount) when amount < 0 do size = Raw.size(internal) case size + amount do start when start > 0 -> internal |> Raw.slice(start, size - 1) |> Raw.from_list() _ -> internal end end defp do_take(internal, amount) do Raw.take(internal, amount) end @doc """ Drops the amount of elements from the `vector`. If a negative `amount` is given, the amount of last values will be dropped. Time complexity is: - linear when `amount` is positive, as the vector needs to be reconstructed. - effective constant time when `amount` is negative, as the vector structure can be shared ## Examples iex> Aja.Vector.new(0..15) |> Aja.Vector.drop(10) vec([10, 11, 12, 13, 14, 15]) iex> Aja.Vector.new(0..5) |> Aja.Vector.drop(0) vec([0, 1, 2, 3, 4, 5]) iex> Aja.Vector.new(0..10) |> Aja.Vector.drop(-5) vec([0, 1, 2, 3, 4, 5]) """ @spec drop(t(val), integer) :: t(val) when val: value def drop(%__MODULE__{__vector__: internal}, amount) when is_integer(amount) do do_drop(internal, amount) |> from_internal() end defp do_drop(internal, _amount = 0) do internal end defp do_drop(internal, amount) when amount < 0 do size = Raw.size(internal) case size + amount do keep when keep > 0 -> Raw.take(internal, size + amount) _ -> @empty_raw end end defp do_drop(internal, amount) do size = Raw.size(internal) if amount >= size do @empty_raw else internal |> Raw.slice(amount, size - 1) |> Raw.from_list() end end @doc """ Splits the `vector` into two vectors, leaving `amount` elements in the first one. If `amount` is a negative number, it starts counting from the back to the beginning of the `vector`. Runs in linear time. ## Examples iex> vector = Aja.Vector.new([1, 2, 3]) iex> Aja.Vector.split(vector, 2) |> inspect() "{vec([1, 2]), vec([3])}" iex> Aja.Vector.split(vector, 10) |> inspect() "{vec([1, 2, 3]), vec([])}" iex> Aja.Vector.split(vector, 0) |> inspect() "{vec([]), vec([1, 2, 3])}" iex> Aja.Vector.split(vector, -1) |> inspect() "{vec([1, 2]), vec([3])}" iex> Aja.Vector.split(vector, -5) |> inspect() "{vec([]), vec([1, 2, 3])}" """ @spec split(t(val), integer) :: {t(val), t(val)} when val: value def split(%__MODULE__{__vector__: internal} = vector, amount) when is_integer(amount) do size = Raw.size(internal) case Raw.actual_index(amount, size) do nil -> case amount do positive when positive > 0 -> {vector, new()} _ -> {new(), vector} end actual_amount -> taken = Raw.take(internal, actual_amount) dropped = do_drop(internal, actual_amount) {from_internal(taken), from_internal(dropped)} end end @doc """ Takes the elements from the beginning of the `vector` while `fun` returns a truthy value. Runs in linear time regarding the size of the returned subset. ## Examples iex> Aja.Vector.new(1..100) |> Aja.Vector.take_while(fn x -> x < 7 end) vec([1, 2, 3, 4, 5, 6]) iex> Aja.Vector.new([1, true, %{}, nil, "abc"]) |> Aja.Vector.take_while(fn x -> x end) vec([1, true, %{}]) """ @spec take_while(t(val), (val -> as_boolean(term()))) :: t(val) when val: value def take_while(%__MODULE__{__vector__: internal} = vector, fun) when is_function(fun, 1) do case Raw.find_falsy_index(internal, fun) do nil -> vector index -> Raw.take(internal, index) |> from_internal() end end @doc """ Drops elements at the beginning of the `vector` while `fun` returns a truthy value. Runs in linear time. ## Examples iex> Aja.Vector.new(1..10) |> Aja.Vector.drop_while(fn x -> x < 7 end) vec([7, 8, 9, 10]) iex> Aja.Vector.new([1, true, %{}, nil, "abc"]) |> Aja.Vector.drop_while(fn x -> x end) vec([nil, "abc"]) """ @spec drop_while(t(val), (val -> as_boolean(term()))) :: t(val) when val: value def drop_while(%__MODULE__{__vector__: internal} = vector, fun) when is_function(fun, 1) do case Raw.find_falsy_index(internal, fun) do nil -> new() 0 -> vector index -> size = Raw.size(internal) internal |> Raw.slice(index, size - 1) |> from_list() end end @doc """ Splits `vector` in two at the position of the element for which `fun` returns a falsy value (`false` or `nil`) for the first time. It returns a two-element tuple with two vectors of elements. The element that triggered the split is part of the second vector. Is basically performing `take_while/2` and `drop_while/2` at once. Runs in linear time. ## Examples iex> {taken, dropped} = Aja.Vector.new(1..10) |> Aja.Vector.split_while(fn x -> x < 7 end) iex> taken vec([1, 2, 3, 4, 5, 6]) iex> dropped vec([7, 8, 9, 10]) """ @spec split_while(t(val), (val -> as_boolean(term()))) :: {t(val), t(val)} when val: value def split_while(%__MODULE__{__vector__: internal} = vector, fun) when is_function(fun, 1) do case Raw.find_falsy_index(internal, fun) do nil -> {vector, new()} 0 -> {new(), vector} index -> size = Raw.size(internal) taken = Raw.take(internal, index) |> from_internal() dropped = internal |> Raw.slice(index, size - 1) |> from_list() {taken, dropped} end end @doc ~S""" Returns the `vector` with each element wrapped in a tuple alongside its index. May receive a function or an integer offset. If an integer `offset` is given, it will index from the given `offset` instead of from zero. If a `function` is given, it will index by invoking the function for each element and index (zero-based) of the `vector`. Runs in linear time. ## Examples iex> vector = Aja.Vector.new(["foo", "bar", "baz"]) iex> Aja.Vector.with_index(vector) vec([{"foo", 0}, {"bar", 1}, {"baz", 2}]) iex> Aja.Vector.with_index(vector, 100) vec([{"foo", 100}, {"bar", 101}, {"baz", 102}]) iex> Aja.Vector.with_index(vector, fn element, index -> {index, element} end) vec([{0, "foo"}, {1, "bar"}, {2, "baz"}]) """ @spec with_index(t(val), index) :: t({val, index}) when val: value @spec with_index(t(val), (val, index -> mapped_val)) :: t(mapped_val) when val: value, mapped_val: value def with_index(vector, fun_or_offset \\ 0) def with_index(%__MODULE__{__vector__: internal}, offset) when is_integer(offset) do Raw.with_index(internal, offset) |> from_internal() end def with_index(%__MODULE__{__vector__: internal}, fun) when is_function(fun, 2) do Raw.with_index(internal, 0, fun) |> from_internal() end @doc """ Takes `amount` random elements from `vector`. Note that, unless `amount` is `0` or `1`, this function will traverse the whole `vector` to get the random sub-vector. If `amount` is more than the `vector` size, this is equivalent to shuffling the `vector`: the returned vector cannot be bigger than the original one. See `Enum.random/1` for notes on implementation and random seed. Runs in linear time (except for `amount <= 1`, which is effective constant time). ## Examples # Although not necessary, let's seed the random algorithm iex> :rand.seed(:exrop, {1, 2, 3}) iex> Aja.Vector.new(1..10) |> Aja.Vector.take_random(2) vec([7, 2]) iex> Aja.Vector.new([:foo, :bar, :baz]) |> Aja.Vector.take_random(100) vec([:bar, :baz, :foo]) """ @spec take_random(t(val), non_neg_integer) :: t(val) when val: value def take_random(%__MODULE__{__vector__: internal}, amount) when is_integer(amount) and amount >= 0 do Raw.take_random(internal, amount) |> from_internal() end @doc """ Returns a new vector with the elements of `vector` shuffled. See `Enum.shuffle/1` for notes on implementation and random seed. ## Examples # Although not necessary, let's seed the random algorithm iex> :rand.seed(:exrop, {1, 2, 3}) iex> Aja.Vector.new([1, 2, 3]) |> Aja.Vector.shuffle() vec([3, 1, 2]) iex> Aja.Vector.new([1, 2, 3]) |> Aja.Vector.shuffle() vec([1, 3, 2]) """ @spec shuffle(t(val)) :: t(val) when val: value def shuffle(%__MODULE__{__vector__: internal}) do # Note: benchmarks suggest that this is already fast without further optimization internal |> Raw.to_list() |> Enum.shuffle() |> from_list() end @doc """ Zips corresponding elements from two vectors into one vector of tuples. The size of the returned vector is the one of the smallest of the input vectors. Runs in linear time. iex> Aja.Vector.zip(Aja.Vector.new([1, 2, 3]), Aja.Vector.new([:a, :b, :c])) vec([{1, :a}, {2, :b}, {3, :c}]) iex> Aja.Vector.zip(Aja.Vector.new(0..100), Aja.Vector.new([:a, :b, :c])) vec([{0, :a}, {1, :b}, {2, :c}]) """ @spec zip(t(val1), t(val2)) :: t({val1, val2}) when val1: value, val2: value def zip(vector1, vector2) def zip(%__MODULE__{__vector__: internal1}, %__MODULE__{__vector__: internal2}) do Raw.zip(internal1, internal2) |> from_internal() end @doc """ Zips corresponding elements from two vectors into a new vector, transforming them with the `zip_fun` function as it goes. The corresponding elements from each vector are passed to the provided 2-arity `zip_fun` function in turn. Runs in linear time. iex> Aja.Vector.zip_with(Aja.Vector.new([1, 2, 3]), Aja.Vector.new([:a, :b, :c]), &{&2, &1}) vec([a: 1, b: 2, c: 3]) iex> Aja.Vector.zip_with(Aja.Vector.new(0..100), Aja.Vector.new([:a, :b, :c]), &{&2, &1}) vec([a: 0, b: 1, c: 2]) """ @spec zip_with(t(val1), t(val2), (val1, val2 -> val3)) :: t(val3) when val1: value, val2: value, val3: value def zip_with(vector1, vector2, zip_fun) def zip_with(%__MODULE__{__vector__: internal1}, %__MODULE__{__vector__: internal2}, zip_fun) when is_function(zip_fun, 2) do Raw.zip_with(internal1, internal2, zip_fun) |> from_internal() end @doc """ Opposite of `zip/2`. Extracts two-element tuples from the given `vector` and groups them together. It takes a `vector` with elements being two-element tuples and returns a tuple with two vectors, each of which is formed by the first and second element of each tuple, respectively. This function fails unless `vector` only contains tuples with exactly two elements in each tuple. Runs in linear time. iex> {vector1, vector2} = Aja.Vector.new([{1, :a}, {2, :b}, {3, :c}]) |> Aja.Vector.unzip() iex> vector1 vec([1, 2, 3]) iex> vector2 vec([:a, :b, :c]) """ @spec unzip(t({val1, val2})) :: {t(val1), t(val2)} when val1: value, val2: value def unzip(%__MODULE__{__vector__: internal}) do {internal1, internal2} = Raw.unzip(internal) {from_internal(internal1), from_internal(internal2)} end # Private functions defp from_list([]), do: from_internal(@empty_raw) defp from_list(list), do: Raw.from_list(list) |> from_internal() defimpl Inspect do import Inspect.Algebra def inspect(vector, opts) do opts = %Inspect.Opts{opts | charlists: :as_lists} concat(["vec(", Inspect.List.inspect(Aja.Vector.to_list(vector), opts), ")"]) end end defimpl Enumerable do def count(vector) do {:ok, Aja.Vector.size(vector)} end def member?(%Aja.Vector{__vector__: internal}, value) do {:ok, Raw.member?(internal, value)} end def slice(%Aja.Vector{__vector__: internal}) do size = Aja.Vector.Raw.size(internal) {:ok, size, fn start, length -> Aja.Vector.Raw.slice(internal, start, start + length - 1) end} end def reduce(%Aja.Vector{__vector__: internal}, acc, fun) do # TODO investigate best way to warn # flag it? # IO.warn( # "Enum has sub-optimal performance for Aja.Vector, use Aja.Enum (see https://hexdocs.pm/aja/Aja.Enum.html)" # ) internal |> Aja.Vector.Raw.to_list() |> Enumerable.List.reduce(acc, fun) end end defimpl Collectable do alias Aja.Vector.Raw def into(%Aja.Vector{__vector__: internal}) do {[], fn acc, {:cont, value} -> [value | acc] acc, :done -> done(internal, acc) _acc, :halt -> :ok end} end defp done(internal, acc) do new_internal = Raw.concat_list(internal, :lists.reverse(acc)) %Aja.Vector{__vector__: new_internal} end end if Code.ensure_loaded?(Jason.Encoder) do defimpl Jason.Encoder do def encode(vector, opts) do vector |> Aja.Vector.to_list() |> Jason.Encode.list(opts) end end end end