# `Explorer.Series`
[🔗](https://github.com/elixir-nx/explorer/blob/v0.12.0/lib/explorer/series.ex#L10)

The Series struct and API.

A series can be of the following data types:

  * `:binary` - Binaries (sequences of bytes)
  * `:boolean` - Boolean
  * `:category` - Strings but represented internally as integers
  * `:date` - Date type that unwraps to `Elixir.Date`
  * `{:naive_datetime, precision}` - Naive DateTime type with millisecond/microsecond/nanosecond
    precision that unwraps to `Elixir.NaiveDateTime`
  * `{:datetime, precision, time_zone}` - DateTime type with millisecond/microsecond/nanosecond
    precision that unwraps to `Elixir.DateTime`
  * `{:duration, precision}` - Duration type with millisecond/microsecond/nanosecond
    precision that unwraps to `Explorer.Duration`
  * `{:f, size}` - a 64-bit or 32-bit floating point number
  * `{:s, size}` - a 8-bit or 16-bit or 32-bit or 64-bit signed integer number.
  * `{:u, size}` - a 8-bit or 16-bit or 32-bit or 64-bit unsigned integer number.
  * `{:decimal, precision, scale}` - a 128-bit signed integer number representing a decimal,
    with a scale and precision. This unwraps to `Decimal`, using the `:decimal` package.
    > #### Warning: Unstable {: .warning}
    >
    > This functionality is considered unstable. It is a work-in-progress feature
    > and may not always work as expected. It may be changed at any point.
    >
    > Note: The underlying Polars decimal type is a fixed point decimal with optional
    > precision and non-negative scale, backed by a signed 128-bit integer which allows
    > for up to 38 significant digits (max precision is 38). Elixir's `Decimal` can handle
    > higher precision, which may cause errors when converting very large decimal values.
  * `:null` - `nil`s exclusively
  * `:string` - UTF-8 encoded binary
  * `:time` - Time type that unwraps to `Elixir.Time`
  * `{:list, dtype}` - A recursive dtype that can store lists. Examples: `{:list, :boolean}` or
    a nested list dtype like `{:list, {:list, :boolean}}`.
  * `{:struct, [{key, dtype}]}` - A recursive dtype that can store Arrow/Polars structs (not to be
    confused with Elixir's struct). This type unwraps to Elixir maps with string keys. Examples:
    `{:struct, [{"a", :string}]}` or a nested struct dtype like `{:struct, [{"a", {:struct, [{"b", :string}]}}]}`.

When passing a dtype as argument, aliases are supported for convenience
and compatibility with the Elixir ecosystem:

  * All numeric dtypes (signed integer, unsigned integer, floats and decimals) can
    be specified as an atom in the form of `:s32`, `:u8`, `:f32` and so on.
  * The atom `:float` as an alias for `{:f, 64}` to mirror Elixir's floats
  * The atom `:integer` as an alias for `{:s, 64}` to mirror Elixir's integers
  * The atom `:decimal` as an alias for the `{:decimal, 38, 0}`.

A series must consist of a single data type only. Series may have `nil` values in them.
The series `dtype` can be retrieved via the `dtype/1` function or directly accessed as
`series.dtype`. A `series.name` field is also available, but it is always `nil` unless
the series is retrieved from a dataframe.

Many functions only apply to certain dtypes. These functions may appear on distinct
categories on the sidebar. Other functions may work on several datatypes, such as
comparison functions. In such cases, a "Supported dtypes" section will be available
in the function documentation.

## Creating series

Series can be created using `from_list/2`, `from_binary/3`, and friends:

Series can be made of numbers:

    iex> Explorer.Series.from_list([1, 2, 3])
    #Explorer.Series<
      Polars[3]
      s64 [1, 2, 3]
    >

Series are nullable, so you may also include nils:

    iex> Explorer.Series.from_list([1.0, nil, 2.5, 3.1])
    #Explorer.Series<
      Polars[4]
      f64 [1.0, nil, 2.5, 3.1]
    >

Any of the dtypes above are supported, such as strings:

    iex> Explorer.Series.from_list(["foo", "bar", "baz"])
    #Explorer.Series<
      Polars[3]
      string ["foo", "bar", "baz"]
    >

## Casting numeric series (type promotion)

Series of integers and floats are automatically cast when executing certain
operations. For example, adding a series of s64 with f64 will return a list
of f64.

Numeric casting works like this:

  * when working with the same numeric type but of different precisions,
    the higher precision wins

  * when working with unsigned integers and signed integers, unsigned integers
    are cast to signed integers using double of its precision (maximum of 64 bits)

  * when working with integers and floats, integers are always cast floats,
    keep the floating number precision

## Series queries

DataFrames have named columns, so their queries use column names as variables:

    iex> require Explorer.DataFrame
    iex> df = Explorer.DataFrame.new(col_name: [1, 2, 3])
    iex> Explorer.DataFrame.filter(df, col_name > 2)
    #Explorer.DataFrame<
      Polars[1 x 1]
      col_name s64 [3]
    >

Series have no named columns (a series constitutes a single column,
so no name is required). This means their queries can't use column
names as variables. Instead, series queries use the special `_` variable like so:

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.filter(s, _ > 2)
    #Explorer.Series<
      Polars[1]
      s64 [3]
    >

# `collect`

```elixir
@spec collect(series :: t()) :: t()
```

Returns the series as-is. This is a no-op function.

## Examples

    iex> series = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.collect(series)
    #Explorer.Series<
      Polars[3]
      s64 [1, 2, 3]
    >

# `from_binary`

```elixir
@spec from_binary(
  binary(),
  :boolean
  | :date
  | :time
  | datetime_dtype()
  | duration_dtype()
  | float_dtype()
  | float_dtype_alias()
  | integer_dtype_alias()
  | signed_integer_dtype()
  | unsigned_integer_dtype(),
  keyword()
) :: t()
```

Builds a series of `dtype` from `binary`.

All binaries must be in native endianness.

## Options

  * `:backend` - The backend to allocate the series on.

## Examples

Integers and floats follow their native encoding:

    iex> Explorer.Series.from_binary(<<1.0::float-64-native, 2.0::float-64-native>>, {:f, 64})
    #Explorer.Series<
      Polars[2]
      f64 [1.0, 2.0]
    >

    iex> Explorer.Series.from_binary(<<-1::signed-64-native, 1::signed-64-native>>, :integer)
    #Explorer.Series<
      Polars[2]
      s64 [-1, 1]
    >

Booleans are unsigned integers:

    iex> Explorer.Series.from_binary(<<1, 0, 1>>, :boolean)
    #Explorer.Series<
      Polars[3]
      boolean [true, false, true]
    >

Dates are encoded as s32 representing days from the Unix epoch (1970-01-01):

    iex> binary = <<-719162::signed-32-native, 0::signed-32-native, 6129::signed-32-native>>
    iex> Explorer.Series.from_binary(binary, :date)
    #Explorer.Series<
      Polars[3]
      date [0001-01-01, 1970-01-01, 1986-10-13]
    >

Times are encoded as s64 representing nanoseconds from midnight:

    iex> binary = <<0::signed-64-native, 86399999999000::signed-64-native>>
    iex> Explorer.Series.from_binary(binary, :time)
    #Explorer.Series<
      Polars[2]
      time [00:00:00.000000, 23:59:59.999999]
    >

Datetimes are encoded as s64 representing microseconds from the Unix epoch (1970-01-01):

    iex> binary = <<0::signed-64-native, 529550625987654::signed-64-native>>
    iex> Explorer.Series.from_binary(binary, {:naive_datetime, :microsecond})
    #Explorer.Series<
      Polars[2]
      naive_datetime[μs] [1970-01-01 00:00:00.000000, 1986-10-13 01:23:45.987654]
    >

# `from_list`

```elixir
@spec from_list(list :: list(), opts :: Keyword.t()) :: t()
```

Creates a new series from a list.

The list must consist of a single data type and nils. It is possible to have
a list of only nil values. In this case, the list will have the `:dtype` of `:null`.

## Options

  * `:backend` - The backend to allocate the series on.
  * `:dtype` - Create a series of a given `:dtype`. By default this is `nil`, which means
    that Explorer will infer the type from the values in the list.
    See the module docs for the list of valid dtypes and aliases.

## Examples

Explorer will infer the type from the values in the list.
Integers are always treated as `s64` and floats are always
treated as `f64`:

    iex> Explorer.Series.from_list([1, 2, 3])
    #Explorer.Series<
      Polars[3]
      s64 [1, 2, 3]
    >
    iex> Explorer.Series.from_list([1.0, 2.0, 3.0])
    #Explorer.Series<
      Polars[3]
      f64 [1.0, 2.0, 3.0]
    >

Series are nullable, so you may also include nils:

    iex> Explorer.Series.from_list([1.0, nil, 2.5, 3.1])
    #Explorer.Series<
      Polars[4]
      f64 [1.0, nil, 2.5, 3.1]
    >

A mix of integers and floats will be cast to a float:

    iex> Explorer.Series.from_list([1, 2.0])
    #Explorer.Series<
      Polars[2]
      f64 [1.0, 2.0]
    >

Floats series can accept NaN, Inf, and -Inf values:

    iex> Explorer.Series.from_list([1.0, 2.0, :nan, 4.0])
    #Explorer.Series<
      Polars[4]
      f64 [1.0, 2.0, NaN, 4.0]
    >

    iex> Explorer.Series.from_list([1.0, 2.0, :infinity, 4.0])
    #Explorer.Series<
      Polars[4]
      f64 [1.0, 2.0, Inf, 4.0]
    >

    iex> Explorer.Series.from_list([1.0, 2.0, :neg_infinity, 4.0])
    #Explorer.Series<
      Polars[4]
      f64 [1.0, 2.0, -Inf, 4.0]
    >

Trying to create an empty series or a series of nils will, by default,
result in a series of `:null` type:

    iex> Explorer.Series.from_list([])
    #Explorer.Series<
      Polars[0]
      null []
    >
    iex> Explorer.Series.from_list([nil, nil])
    #Explorer.Series<
      Polars[2]
      null [nil, nil]
    >

A list of `Date`, `Time`, `NaiveDateTime`, `DateTime`, and
`Explorer.Duration` structs are also supported, and they will become series
with the respective dtypes: `:date`, `:time`, `{:naive_datetime, :microsecond}`,
`{:datetime, :microsecond, time_zone}` and `{:duration, precision}`.
For example:

    iex> Explorer.Series.from_list([~D[0001-01-01], ~D[1970-01-01], ~D[1986-10-13]])
    #Explorer.Series<
      Polars[3]
      date [0001-01-01, 1970-01-01, 1986-10-13]
    >

## The `:dtype` option

You can specify the desired `dtype` for a series with the `:dtype` option,
as long as the list contains compatible representations of the `dtype`. For
example, a list of nils may represent integers:

    iex> Explorer.Series.from_list([nil, nil], dtype: :integer)
    #Explorer.Series<
      Polars[2]
      s64 [nil, nil]
    >

And integers can be representations of floating numbers (but not vice-versa):

    iex> Explorer.Series.from_list([1, 2], dtype: :f32)
    #Explorer.Series<
      Polars[2]
      f32 [1.0, 2.0]
    >

    iex> Explorer.Series.from_list([1, nil, 2], dtype: :float)
    #Explorer.Series<
      Polars[3]
      f64 [1.0, nil, 2.0]
    >

The `dtype` option is particulary important if a `:binary` series
is desired, because by default binary series will have the dtype
of `:string`:

    iex> Explorer.Series.from_list([<<228, 146, 51>>, <<42, 209, 236>>], dtype: :binary)
    #Explorer.Series<
      Polars[2]
      binary [<<228, 146, 51>>, <<42, 209, 236>>]
    >

A series mixing UTF8 strings and binaries is possible:

    iex> Explorer.Series.from_list([<<228, 146, 51>>, "Elixir"], dtype: :binary)
    #Explorer.Series<
      Polars[2]
      binary [<<228, 146, 51>>, "Elixir"]
    >

Another option is to create a categorical series from a list of strings:

    iex> Explorer.Series.from_list(["EUA", "Brazil", "Poland"], dtype: :category)
    #Explorer.Series<
      Polars[3]
      category ["EUA", "Brazil", "Poland"]
    >

If you need to create a series of dates, you can pass `Date` structs, but also
a series of integers representing days since Unix Epoch:

    iex> Explorer.Series.from_list([1, nil], dtype: :date)
    #Explorer.Series<
      Polars[2]
      date [1970-01-02, nil]
    >

It is possible to create a series of `:datetime` from a list of microseconds since Unix Epoch:

    iex> Explorer.Series.from_list([1649883642 * 1_000 * 1_000], dtype: {:naive_datetime, :microsecond})
    #Explorer.Series<
      Polars[1]
      naive_datetime[μs] [2022-04-13 21:00:42.000000]
    >

Or a series of `:time` from a list of nanoseconds since midnight:

    iex> Explorer.Series.from_list([123 * 1_000 * 1_000 * 1_000], dtype: :time)
    #Explorer.Series<
      Polars[1]
      time [00:02:03.000000]
    >

In such cases, you may even mix integers with their regular data structures,
as long as the desired dtype is given:

    iex> Explorer.Series.from_list([1, nil, ~D[2024-06-13]], dtype: :date)
    #Explorer.Series<
      Polars[3]
      date [1970-01-02, nil, 2024-06-13]
    >

Outside of these scenarios, mixing data types or giving an incompatible
`dtype` will raise `ArgumentError`:

    iex> Explorer.Series.from_list([1, "a"])
    ** (ArgumentError) the value "a" does not match the inferred dtype {:s, 64}

In particular, the `:dtype` option won't perform any parsing, as the goal of
this function is to load Elixir data as quickly as possible into the native
library. For instance, you can't pass a list of strings and convert them into
`:date`s via the `:dtype` option. Use either `cast/2` or custom functions
(in this particular case, `strptime/2`).

# `from_tensor`

```elixir
@spec from_tensor(tensor :: Nx.Tensor.t(), opts :: Keyword.t()) :: t()
```

Converts a `t:Nx.Tensor.t/0` to a series.

> #### Warning {: .warning}
>
> `Nx` is an optional dependency. You will need to ensure it's installed to use this function.

## Options

  * `:backend` - The backend to allocate the series on.
  * `:dtype` - The dtype of the series that must match the underlying tensor type.

    The series can have a different dtype if the tensor is compatible with it.
    For example, a tensor of `{:u, 8}` can represent a series of `:boolean` dtype.

    Here are the list of compatible tensor types and dtypes:

    * `{:u, 8}` tensor as a `:boolean` series.
    * `{:s, 32}` tensor as a `:date` series.
    * `{:s, 64}` tensor as a `:time` series.
    * `{:s, 64}` tensor as a `{:naive_datetime, unit}` or `{:duration, unit}` series.

## Examples

Integers and floats:

    iex> tensor = Nx.tensor([1, 2, 3])
    iex> Explorer.Series.from_tensor(tensor)
    #Explorer.Series<
      Polars[3]
      s32 [1, 2, 3]
    >

    iex> tensor = Nx.tensor([1.0, 2.0, 3.0], type: :f64)
    iex> Explorer.Series.from_tensor(tensor)
    #Explorer.Series<
      Polars[3]
      f64 [1.0, 2.0, 3.0]
    >

    iex> tensor = Nx.tensor([1, 0, 1], type: :u8)
    iex> Explorer.Series.from_tensor(tensor)
    #Explorer.Series<
      Polars[3]
      u8 [1, 0, 1]
    >

    iex> tensor = Nx.tensor([-719162, 0, 6129], type: :s64)
    iex> Explorer.Series.from_tensor(tensor)
    #Explorer.Series<
      Polars[3]
      s64 [-719162, 0, 6129]
    >

Booleans can be read from a tensor of `{:u, 8}` type if the dtype is explicitly given:

    iex> tensor = Nx.tensor([1, 0, 1], type: :u8)
    iex> Explorer.Series.from_tensor(tensor, dtype: :boolean)
    #Explorer.Series<
      Polars[3]
      boolean [true, false, true]
    >

Times are signed 64-bit representing nanoseconds from midnight and
therefore must have their dtype explicitly given:

    iex> tensor = Nx.tensor([0, 86399999999000], type: :s64)
    iex> Explorer.Series.from_tensor(tensor, dtype: :time)
    #Explorer.Series<
      Polars[2]
      time [00:00:00.000000, 23:59:59.999999]
    >

Datetimes are signed 64-bit and therefore must have their dtype explicitly given:

    iex> tensor = Nx.tensor([0, 529550625987654], type: :s64)
    iex> Explorer.Series.from_tensor(tensor, dtype: {:naive_datetime, :microsecond})
    #Explorer.Series<
      Polars[2]
      naive_datetime[μs] [1970-01-01 00:00:00.000000, 1986-10-13 01:23:45.987654]
    >

# `replace`

```elixir
@spec replace(t(), Nx.Tensor.t() | list()) :: t()
```

Replaces the contents of the given series by the one given in
a tensor or list.

The new series will have the same dtype and backend as the current
series, but the size may not necessarily match.

## Tensor examples

    iex> s = Explorer.Series.from_list([0, 1, 2])
    iex> Explorer.Series.replace(s, Nx.tensor([1, 2, 3], type: :s64))
    #Explorer.Series<
      Polars[3]
      s64 [1, 2, 3]
    >

This is particularly useful for categorical columns:

    iex> s = Explorer.Series.from_list(["foo", "bar", "baz"], dtype: :category)
    iex> Explorer.Series.replace(s, Nx.tensor([2, 1, 0], type: :s64))
    #Explorer.Series<
      Polars[3]
      category ["baz", "bar", "foo"]
    >

## List examples

Similar to tensors, we can also replace by lists:

    iex> s = Explorer.Series.from_list([0, 1, 2])
    iex> Explorer.Series.replace(s, [1, 2, 3, 4, 5])
    #Explorer.Series<
      Polars[5]
      s64 [1, 2, 3, 4, 5]
    >

The same considerations as above apply.

# `to_binary`

```elixir
@spec to_binary(series :: t()) :: binary()
```

Returns a series as a fixed-width binary.

This is a shortcut around `to_iovec/1`. If possible, prefer
to use `to_iovec/1` as that avoids copying binaries.

## Examples

    iex> series = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.to_binary(series)
    <<1::signed-64-native, 2::signed-64-native, 3::signed-64-native>>

    iex> series = Explorer.Series.from_list([true, false, true])
    iex> Explorer.Series.to_binary(series)
    <<1, 0, 1>>

# `to_enum`

```elixir
@spec to_enum(series :: t()) :: Enumerable.t()
```

Converts a series to an enumerable.

The enumerable will lazily traverse the series.

> #### Warning {: .warning}
>
> You must avoid converting a series to enum, as that will copy the whole
> series in memory as you traverse it. Prefer to use the operations in this
> module rather than the ones in `Enum` whenever possible, as this module is
> optimized for large series.

## Examples

    iex> series = Explorer.Series.from_list([1, 2, 3])
    iex> series |> Explorer.Series.to_enum() |> Enum.to_list()
    [1, 2, 3]

# `to_iovec`

```elixir
@spec to_iovec(series :: t()) :: [binary()]
```

Returns a series as a list of fixed-width binaries.

An io vector (`iovec`) is the Erlang VM term for a flat list of binaries.
This is typically a reference to the in-memory representation of the series.
If the whole series in contiguous in memory, then the list will have a single
element. All binaries are in native endianness.

This operation fails if the series has `nil` values.
Use `fill_missing/1` to handle them accordingly.

To retrieve the type of the underlying io vector, use `iotype/1`.
To convert an iovec to a binary, you can use `IO.iodata_to_binary/1`.

## Examples

Integers and floats follow their native encoding:

    iex> series = Explorer.Series.from_list([-1, 0, 1])
    iex> Explorer.Series.to_iovec(series)
    [<<-1::signed-64-native, 0::signed-64-native, 1::signed-64-native>>]

    iex> series = Explorer.Series.from_list([1.0, 2.0, 3.0])
    iex> Explorer.Series.to_iovec(series)
    [<<1.0::float-64-native, 2.0::float-64-native, 3.0::float-64-native>>]

Booleans are encoded as 0 and 1:

    iex> series = Explorer.Series.from_list([true, false, true])
    iex> Explorer.Series.to_iovec(series)
    [<<1, 0, 1>>]

Dates are encoded as s32 representing days from the Unix epoch (1970-01-01):

    iex> series = Explorer.Series.from_list([~D[0001-01-01], ~D[1970-01-01], ~D[1986-10-13]])
    iex> Explorer.Series.to_iovec(series)
    [<<-719162::signed-32-native, 0::signed-32-native, 6129::signed-32-native>>]

Times are encoded as s64 representing nanoseconds from midnight:

    iex> series = Explorer.Series.from_list([~T[00:00:00.000000], ~T[23:59:59.999999]])
    iex> Explorer.Series.to_iovec(series)
    [<<0::signed-64-native, 86399999999000::signed-64-native>>]

Datetimes are encoded as s64 representing their precision from the Unix epoch (1970-01-01):

    iex> series = Explorer.Series.from_list([~N[0001-01-01 00:00:00], ~N[1970-01-01 00:00:00], ~N[1986-10-13 01:23:45.987654]])
    iex> Explorer.Series.to_iovec(series)
    [<<-62135596800000000::signed-64-native, 0::signed-64-native, 529550625987654::signed-64-native>>]

The operation raises for binaries and strings, as they do not provide a fixed-width
binary representation:

    iex> s = Explorer.Series.from_list(["a", "b", "c", "b"])
    iex> Explorer.Series.to_iovec(s)
    ** (ArgumentError) cannot convert series of dtype :string into iovec

However, if appropriate, you can convert them to categorical types,
which will then return the index of each category:

    iex> series = Explorer.Series.from_list(["a", "b", "c", "b"], dtype: :category)
    iex> Explorer.Series.to_iovec(series)
    [<<0::unsigned-32-native, 1::unsigned-32-native, 2::unsigned-32-native, 1::unsigned-32-native>>]

# `to_list`

```elixir
@spec to_list(series :: t()) :: list()
```

Converts a series to a list.

> #### Warning {: .warning}
>
> You must avoid converting a series to list, as that requires copying
> the whole series in memory. Prefer to use the operations in this module
> rather than the ones in `Enum` whenever possible, as this module is
> optimized for large series.

## Examples

    iex> series = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.to_list(series)
    [1, 2, 3]

# `to_tensor`

```elixir
@spec to_tensor(series :: t(), tensor_opts :: Keyword.t()) :: Nx.Tensor.t()
```

Converts a series to a `t:Nx.Tensor.t/0`.

Note that `Explorer.Series` are automatically converted
to tensors when passed to numerical definitions.
The tensor type is given by `iotype/1`.

> #### Warning {: .warning}
>
> `Nx` is an optional dependency. You will need to ensure it's installed to use this function.

## Options

  * `:backend` - the Nx backend to allocate the tensor on

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.to_tensor(s)
    #Nx.Tensor<
      s64[3]
      [1, 2, 3]
    >

    iex> s = Explorer.Series.from_list([true, false, true])
    iex> Explorer.Series.to_tensor(s)
    #Nx.Tensor<
      u8[3]
      [1, 0, 1]
    >

# `all?`

```elixir
@spec all?(series :: t()) :: boolean()
```

Returns if all the values in a boolean series are true.

## Supported dtypes

  * `:boolean`

## Examples

    iex> s = Series.from_list([true, true, true])
    iex> Series.all?(s)
    true

    iex> s = Series.from_list([true, false, true])
    iex> Series.all?(s)
    false

    iex> s = Series.from_list([1, 2, 3])
    iex> Series.all?(s)
    ** (ArgumentError) Explorer.Series.all?/1 not implemented for dtype {:s, 64}. Valid dtype is :boolean

An empty series will always return true:

    iex> s = Series.from_list([], dtype: :boolean)
    iex> Series.all?(s)
    true

Opposite to Elixir but similar to databases, `nil` values are ignored:

    iex> s = Series.from_list([nil, true, true])
    iex> Series.all?(s)
    true

    iex> s = Series.from_list([nil, nil, nil], dtype: :boolean)
    iex> Series.all?(s)
    true

# `any?`

```elixir
@spec any?(series :: t()) :: boolean()
```

Returns if any of the values in a boolean series are true.

## Supported dtypes

  * `:boolean`

## Examples

    iex> s = Series.from_list([true, true, true])
    iex> Series.any?(s)
    true

    iex> s = Series.from_list([true, false, true])
    iex> Series.any?(s)
    true

    iex> s = Series.from_list([1, 2, 3])
    iex> Series.any?(s)
    ** (ArgumentError) Explorer.Series.any?/1 not implemented for dtype {:s, 64}. Valid dtype is :boolean

An empty series will always return `false`:

    iex> s = Series.from_list([], dtype: :boolean)
    iex> Series.any?(s)
    false

Opposite to Elixir but similar to databases, `nil` values are ignored:

    iex> s = Series.from_list([nil, true, true])
    iex> Series.any?(s)
    true

    iex> s = Series.from_list([nil, nil, nil], dtype: :boolean)
    iex> Series.any?(s)
    false

# `argmax`

```elixir
@spec argmax(series :: t()) :: number() | non_finite() | nil
```

Gets the index of the maximum value of the series.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 3])
    iex> Explorer.Series.argmax(s)
    3

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 3.0])
    iex> Explorer.Series.argmax(s)
    3

    iex> s = Explorer.Series.from_list([~D[2021-01-01], ~D[1999-12-31]])
    iex> Explorer.Series.argmax(s)
    0

    iex> s = Explorer.Series.from_list([~N[2021-01-01 00:00:00], ~N[1999-12-31 00:00:00]])
    iex> Explorer.Series.argmax(s)
    0

    iex> s = Explorer.Series.from_list([~T[00:02:03.000212], ~T[00:05:04.000456]])
    iex> Explorer.Series.argmax(s)
    1

    iex> s = Explorer.Series.from_list([], dtype: :integer)
    iex> Explorer.Series.argmax(s)
    nil

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.argmax(s)
    ** (ArgumentError) Explorer.Series.argmax/1 not implemented for dtype :string. Valid dtypes are :date, :time, {:duration, :microsecond}, {:duration, :millisecond}, {:duration, :nanosecond}, {:f, 32}, {:f, 64}, {:naive_datetime, :microsecond}, {:naive_datetime, :millisecond}, {:naive_datetime, :nanosecond}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `argmin`

```elixir
@spec argmin(series :: t()) :: number() | non_finite() | nil
```

Gets the index of the minimum value of the series.

Note that `nil` is ignored. In case an empty list
or a series whose all elements are `nil` is used,
the result will be `nil`.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 3])
    iex> Explorer.Series.argmin(s)
    0

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 3.0])
    iex> Explorer.Series.argmin(s)
    0

    iex> s = Explorer.Series.from_list([~D[2021-01-01], ~D[1999-12-31]])
    iex> Explorer.Series.argmin(s)
    1

    iex> s = Explorer.Series.from_list([~N[2021-01-01 00:00:00], ~N[1999-12-31 00:00:00]])
    iex> Explorer.Series.argmin(s)
    1

    iex> s = Explorer.Series.from_list([~T[00:02:03.000212], ~T[00:05:04.000456]])
    iex> Explorer.Series.argmin(s)
    0

    iex> s = Explorer.Series.from_list([], dtype: :integer)
    iex> Explorer.Series.argmin(s)
    nil

    iex> s = Explorer.Series.from_list([nil], dtype: :integer)
    iex> Explorer.Series.argmin(s)
    nil

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.argmin(s)
    ** (ArgumentError) Explorer.Series.argmin/1 not implemented for dtype :string. Valid dtypes are :date, :time, {:duration, :microsecond}, {:duration, :millisecond}, {:duration, :nanosecond}, {:f, 32}, {:f, 64}, {:naive_datetime, :microsecond}, {:naive_datetime, :millisecond}, {:naive_datetime, :nanosecond}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `correlation`

```elixir
@spec correlation(
  left :: t() | number(),
  right :: t() | number(),
  opts :: Keyword.t()
) :: float() | non_finite() | lazy_t() | nil
```

Compute the correlation between two series.

The parameter `:method` refers to the correlation method. The following methods are available:
  - `:pearson` : Standard correlation coefficient. (default)
  - `:spearman` : Spearman rank correlation.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * decimals: the result will be a float

## Examples

    iex> s1 = Series.from_list([1, 8, 3])
    iex> s2 = Series.from_list([4, 5, 2])
    iex> Series.correlation(s1, s2)
    0.5447047794019223

# `count`

Counts the number of non-`nil` elements in a series.

See also:

  * `count_nil/1` - counts only the `nil` elements.
  * `size/1` - counts all elements.

## Examples

Without `nil`:

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.count(s)
    3

With `nil`:

    iex> s = Explorer.Series.from_list(["a", nil, "c"])
    iex> Explorer.Series.count(s)
    2

With `:nan` (`:nan` does not count as `nil`):

    iex> s = Explorer.Series.from_list([1, :nan, 3])
    iex> Explorer.Series.count(s)
    3

# `covariance`

```elixir
@spec covariance(
  left :: t() | number(),
  right :: t() | number(),
  ddof :: non_neg_integer()
) :: float() | non_finite() | lazy_t() | nil
```

Compute the covariance between two series.

It may return `nil` in case covariance cannot be computed.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * decimals: the result will be a float

## Examples

    iex> s1 = Series.from_list([1, 8, 3])
    iex> s2 = Series.from_list([4, 5, 2])
    iex> Series.covariance(s1, s2)
    3.0

# `cut`

Bins values into discrete values.

Given a `bins` length of N, there will be N+1 categories.

## Options

  * `:labels` - The labels assigned to the bins. Given `bins` of
    length N, `:labels` must be of length N+1. Defaults to the bin
    bounds (e.g. `(-inf -1.0]`, `(-1.0, 1.0]`, `(1.0, inf]`)

  * `:break_point_label` - The name given to the breakpoint column.
    This is only relevant if `:include_breaks` is `true`.
    Defaults to `break_point`.

  * `:category_label` - The name given to the category column.
    Defaults to `category`.

  * `:left_closed` - Set the intervals to be left-closed instead
    of right-closed. Defaults to `false`.

  * `:include_breaks` - Include a column with the right endpoint
    of the bin that each observation falls in.
    Defaults to `false`.

## Examples

    iex> s = Explorer.Series.from_list([1.0, 2.0, 3.0])
    iex> Explorer.Series.cut(s, [1.5, 2.5], include_breaks: true)
    #Explorer.DataFrame<
      Polars[3 x 3]
      values f64 [1.0, 2.0, 3.0]
      break_point f64 [1.5, 2.5, Inf]
      category category ["(-inf, 1.5]", "(1.5, 2.5]", "(2.5, inf]"]
    >

    iex> s = Explorer.Series.from_list([1.0, 2.0, 3.0])
    iex> Explorer.Series.cut(s, [1.5, 2.5])
    #Explorer.DataFrame<
      Polars[3 x 2]
      values f64 [1.0, 2.0, 3.0]
      category category ["(-inf, 1.5]", "(1.5, 2.5]", "(2.5, inf]"]
    >

# `frequencies`

Creates a new dataframe with unique values and the frequencies of each.

## Examples

    iex> s = Explorer.Series.from_list(["a", "a", "b", "c", "c", "c"])
    iex> Explorer.Series.frequencies(s)
    #Explorer.DataFrame<
      Polars[3 x 2]
      values string ["c", "a", "b"]
      counts u32 [3, 2, 1]
    >

# `max`

```elixir
@spec max(series :: t()) ::
  number() | non_finite() | Date.t() | Time.t() | NaiveDateTime.t() | nil
```

Gets the maximum value of the series.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:naive_datetime`
  * `:datetime`
  * `:duration`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 3])
    iex> Explorer.Series.max(s)
    3

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 3.0])
    iex> Explorer.Series.max(s)
    3.0

    iex> s = Explorer.Series.from_list([~D[2021-01-01], ~D[1999-12-31]])
    iex> Explorer.Series.max(s)
    ~D[2021-01-01]

    iex> s = Explorer.Series.from_list([~N[2021-01-01 00:00:00], ~N[1999-12-31 00:00:00]])
    iex> Explorer.Series.max(s)
    ~N[2021-01-01 00:00:00.000000]

    iex> s = Explorer.Series.from_list([~T[00:02:03.000212], ~T[00:05:04.000456]])
    iex> Explorer.Series.max(s)
    ~T[00:05:04.000456]

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.max(s)
    ** (ArgumentError) Explorer.Series.max/1 not implemented for dtype :string. Valid dtypes are :date, :time, {:duration, :microsecond}, {:duration, :millisecond}, {:duration, :nanosecond}, {:f, 32}, {:f, 64}, {:naive_datetime, :microsecond}, {:naive_datetime, :millisecond}, {:naive_datetime, :nanosecond}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `mean`

```elixir
@spec mean(series :: t()) :: float() | non_finite() | lazy_t() | nil
```

Gets the mean value of the series.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * decimals: the result will be a float

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 3])
    iex> Explorer.Series.mean(s)
    2.0

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 3.0])
    iex> Explorer.Series.mean(s)
    2.0

    iex> s = Explorer.Series.from_list([~D[2021-01-01], ~D[1999-12-31]])
    iex> Explorer.Series.mean(s)
    ** (ArgumentError) Explorer.Series.mean/1 not implemented for dtype :date. Valid dtypes are {:f, 32}, {:f, 64}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `median`

```elixir
@spec median(series :: t()) :: float() | non_finite() | lazy_t() | nil
```

Gets the median value of the series.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * decimals: the result will be a float

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 3])
    iex> Explorer.Series.median(s)
    2.0

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 3.0])
    iex> Explorer.Series.median(s)
    2.0

    iex> s = Explorer.Series.from_list([~D[2021-01-01], ~D[1999-12-31]])
    iex> Explorer.Series.median(s)
    ** (ArgumentError) Explorer.Series.median/1 not implemented for dtype :date. Valid dtypes are {:f, 32}, {:f, 64}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `min`

```elixir
@spec min(series :: t()) ::
  number()
  | non_finite()
  | Date.t()
  | Time.t()
  | DateTime.t()
  | NaiveDateTime.t()
  | nil
```

Gets the minimum value of the series.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 3])
    iex> Explorer.Series.min(s)
    1

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 3.0])
    iex> Explorer.Series.min(s)
    1.0

    iex> s = Explorer.Series.from_list([~D[2021-01-01], ~D[1999-12-31]])
    iex> Explorer.Series.min(s)
    ~D[1999-12-31]

    iex> s = Explorer.Series.from_list([~N[2021-01-01 00:00:00], ~N[1999-12-31 00:00:00]])
    iex> Explorer.Series.min(s)
    ~N[1999-12-31 00:00:00.000000]

    iex> s = Explorer.Series.from_list([~T[00:02:03.000451], ~T[00:05:04.000134]])
    iex> Explorer.Series.min(s)
    ~T[00:02:03.000451]

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.min(s)
    ** (ArgumentError) Explorer.Series.min/1 not implemented for dtype :string. Valid dtypes are :date, :time, {:duration, :microsecond}, {:duration, :millisecond}, {:duration, :nanosecond}, {:f, 32}, {:f, 64}, {:naive_datetime, :microsecond}, {:naive_datetime, :millisecond}, {:naive_datetime, :nanosecond}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `mode`

```elixir
@spec mode(series :: t()) :: t() | nil
```

Gets the most common value(s) of the series.

This function will return multiple values when there's a tie.

## Supported dtypes

All except `:list` and `:struct`.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 2, nil])
    iex> Explorer.Series.mode(s)
    #Explorer.Series<
      Polars[1]
      s64 [2]
    >

    iex> s = Explorer.Series.from_list(["a", "b", "b", "c"])
    iex> Explorer.Series.mode(s)
    #Explorer.Series<
      Polars[1]
      string ["b"]
    >

This function can return multiple entries, but the order is not guaranteed.
You may sort the series if desired.

    iex> s = Explorer.Series.from_list([1.0, 2.0, 2.0, 3.0, 3.0])
    iex> Explorer.Series.mode(s) |> Explorer.Series.sort()
    #Explorer.Series<
      Polars[2]
      f64 [2.0, 3.0]
    >

# `n_distinct`

Returns the number of unique values in the series.

## Examples

    iex> s = Explorer.Series.from_list(["a", "b", "a", "b"])
    iex> Explorer.Series.n_distinct(s)
    2

# `nil_count`

Counts the number of `nil` elements in a series.

When used in a query on grouped data, `count_nil/1` is a per-group operation.

See also:

  * `count/1` - counts only the non-`nil` elements.
  * `size/1` - counts all elements.

## Examples

Without `nil`s:

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.nil_count(s)
    0

With `nil`s:

    iex> s = Explorer.Series.from_list(["a", nil, "c"])
    iex> Explorer.Series.nil_count(s)
    1

With `:nan`s (`:nan` does not count as `nil`):

    iex> s = Explorer.Series.from_list([1, :nan, 3])
    iex> Explorer.Series.nil_count(s)
    0

# `product`

```elixir
@spec product(series :: t()) :: float() | non_finite() | lazy_t() | nil
```

Reduce this Series to the product value.

Note that an empty series is going to result in a
product of `1`. Values that are `nil` are ignored.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.product(s)
    6

    iex> s = Explorer.Series.from_list([], dtype: :float)
    iex> Explorer.Series.product(s)
    1.0

    iex> s = Explorer.Series.from_list([true, false, true])
    iex> Explorer.Series.product(s)
    ** (ArgumentError) Explorer.Series.product/1 not implemented for dtype :boolean. Valid dtypes are {:f, 32}, {:f, 64}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `qcut`

Bins values into discrete values base on their quantiles.

Given a `quantiles` length of N, there will be N+1 categories. Each
element of `quantiles` is expected to be between 0.0 and 1.0.

## Options

  * `:labels` - The labels assigned to the bins. Given `bins` of
    length N, `:labels` must be of length N+1. Defaults to the bin
    bounds (e.g. `(-inf -1.0]`, `(-1.0, 1.0]`, `(1.0, inf]`)

  * `:break_point_label` - The name given to the breakpoint column.
    This is only relevant if `:include_breaks` is `true`.
    Defaults to `break_point`.

  * `:category_label` - The name given to the category column.
    Defaults to `category`.

  * `:allow_duplicates` - If quantiles can have duplicated values.
    Defaults to `false`.

  * `:left_closed` - Set the intervals to be left-closed instead
    of right-closed. Defaults to `false`.

  * `:include_breaks` - Include a column with the right endpoint
    of the bin that each observation falls in.
    Defaults to `false`.

## Examples

    iex> s = Explorer.Series.from_list([1.0, 2.0, 3.0, 4.0, 5.0])
    iex> Explorer.Series.qcut(s, [0.25, 0.75])
    #Explorer.DataFrame<
      Polars[5 x 2]
      values f64 [1.0, 2.0, 3.0, 4.0, 5.0]
      category category ["(-inf, 2]", "(-inf, 2]", "(2, 4]", "(2, 4]", "(4, inf]"]
    >

# `quantile`

```elixir
@spec quantile(series :: t(), quantile :: float()) :: any()
```

Gets the given quantile of the series.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`
  * `:decimal`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 3])
    iex> Explorer.Series.quantile(s, 0.2)
    1

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 3.0])
    iex> Explorer.Series.quantile(s, 0.5)
    2.0

    iex> s = Explorer.Series.from_list([~D[2021-01-01], ~D[1999-12-31]])
    iex> Explorer.Series.quantile(s, 0.5)
    ~D[2021-01-01]

    iex> s = Explorer.Series.from_list([~N[2021-01-01 00:00:00], ~N[1999-12-31 00:00:00]])
    iex> Explorer.Series.quantile(s, 0.5)
    ~N[2021-01-01 00:00:00.000000]

    iex> s = Explorer.Series.from_list([~T[01:55:00], ~T[15:35:00], ~T[23:00:00]])
    iex> Explorer.Series.quantile(s, 0.5)
    ~T[15:35:00.000000]

    iex> s = Explorer.Series.from_list([true, false, true])
    iex> Explorer.Series.quantile(s, 0.5)
    ** (ArgumentError) Explorer.Series.quantile/2 not implemented for dtype :boolean. Valid dtypes are any subtype of [:u, :s, :f, :date, :time, :naive_datetime, :datetime]

# `skew`

```elixir
@spec skew(series :: t(), opts :: Keyword.t()) ::
  float() | non_finite() | lazy_t() | nil
```

Compute the sample skewness of a series.

For normally distributed data, the skewness should be about zero.

For unimodal continuous distributions, a skewness value greater
than zero means that there is more weight in the right tail of the
distribution.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3, 4, 5, 23])
    iex> Explorer.Series.skew(s)
    1.6727687946848508

    iex> s = Explorer.Series.from_list([1, 2, 3, 4, 5, 23])
    iex> Explorer.Series.skew(s, bias: false)
    2.2905330058490514

    iex> s = Explorer.Series.from_list([1, 2, 3, nil, 1])
    iex> Explorer.Series.skew(s, bias: false)
    0.8545630383279712

    iex> s = Explorer.Series.from_list([1, 2, 3, nil, 1])
    iex> Explorer.Series.skew(s)
    0.49338220021815865

    iex> s = Explorer.Series.from_list([true, false, true])
    iex> Explorer.Series.skew(s, false)
    ** (ArgumentError) Explorer.Series.skew/2 not implemented for dtype :boolean. Valid dtypes are {:f, 32}, {:f, 64}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `standard_deviation`

```elixir
@spec standard_deviation(series :: t(), ddof :: non_neg_integer()) ::
  float() | non_finite() | lazy_t() | nil
```

Gets the standard deviation of the series.

By default, this is the sample standard deviation. This function also takes an optional
delta degrees of freedom (ddof). Setting this to zero corresponds to the population
sample standard deviation.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * decimals: the result will be a float

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 3])
    iex> Explorer.Series.standard_deviation(s)
    1.0

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 3.0])
    iex> Explorer.Series.standard_deviation(s)
    1.0

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.standard_deviation(s)
    ** (ArgumentError) Explorer.Series.standard_deviation/1 not implemented for dtype :string. Valid dtypes are {:f, 32}, {:f, 64}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `sum`

```elixir
@spec sum(series :: t()) :: number() | non_finite() | nil
```

Gets the sum of the series.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:boolean`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 3])
    iex> Explorer.Series.sum(s)
    6

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 3.0])
    iex> Explorer.Series.sum(s)
    6.0

    iex> s = Explorer.Series.from_list([true, false, true])
    iex> Explorer.Series.sum(s)
    2

    iex> s = Explorer.Series.from_list([~D[2021-01-01], ~D[1999-12-31]])
    iex> Explorer.Series.sum(s)
    ** (ArgumentError) Explorer.Series.sum/1 not implemented for dtype :date. Valid dtypes are :boolean, {:f, 32}, {:f, 64}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `variance`

```elixir
@spec variance(series :: t(), ddof :: non_neg_integer()) ::
  float() | non_finite() | lazy_t() | nil
```

Gets the variance of the series.

By default, this is the sample variance. This function also takes an optional
delta degrees of freedom (ddof). Setting this to zero corresponds to the population
variance.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 3])
    iex> Explorer.Series.variance(s)
    1.0

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 3.0])
    iex> Explorer.Series.variance(s)
    1.0

    iex> s = Explorer.Series.from_list([~N[2021-01-01 00:00:00], ~N[1999-12-31 00:00:00]])
    iex> Explorer.Series.variance(s)
    ** (ArgumentError) Explorer.Series.variance/1 not implemented for dtype {:naive_datetime, :microsecond}. Valid dtypes are {:f, 32}, {:f, 64}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `abs`

```elixir
@spec abs(series :: t()) :: t()
```

Gets the series absolute values.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, -1, -3])
    iex> Explorer.Series.abs(s)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 1, 3]
    >

    iex> s = Explorer.Series.from_list([1.0, 2.0, -1.0, -3.0])
    iex> Explorer.Series.abs(s)
    #Explorer.Series<
      Polars[4]
      f64 [1.0, 2.0, 1.0, 3.0]
    >

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, -3.0])
    iex> Explorer.Series.abs(s)
    #Explorer.Series<
      Polars[4]
      f64 [1.0, 2.0, nil, 3.0]
    >

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.abs(s)
    ** (ArgumentError) Explorer.Series.abs/1 not implemented for dtype :string. Valid dtypes are {:f, 32}, {:f, 64}, {:s, 8}, {:s, 16}, {:s, 32}, {:s, 64}, {:u, 8}, {:u, 16}, {:u, 32} and {:u, 64}

# `add`

```elixir
@spec add(
  left ::
    t()
    | number()
    | Date.t()
    | DateTime.t()
    | NaiveDateTime.t()
    | Explorer.Duration.t(),
  right ::
    t()
    | number()
    | Date.t()
    | DateTime.t()
    | NaiveDateTime.t()
    | Explorer.Duration.t()
) :: t()
```

Adds right to left, element-wise.

When mixing floats and integers, the resulting series will have dtype `{:f, 64}`.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:decimal`

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> s2 = Explorer.Series.from_list([4, 5, 6])
    iex> Explorer.Series.add(s1, s2)
    #Explorer.Series<
      Polars[3]
      s64 [5, 7, 9]
    >

You can also use scalar values on both sides:

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.add(s1, 2)
    #Explorer.Series<
      Polars[3]
      s64 [3, 4, 5]
    >

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.add(2, s1)
    #Explorer.Series<
      Polars[3]
      s64 [3, 4, 5]
    >

# `all_equal`

Checks equality between two entire series.

## Examples

    iex> s1 = Explorer.Series.from_list(["a", "b"])
    iex> s2 = Explorer.Series.from_list(["a", "b"])
    iex> Explorer.Series.all_equal(s1, s2)
    true

    iex> s1 = Explorer.Series.from_list(["a", "b"])
    iex> s2 = Explorer.Series.from_list(["a", "c"])
    iex> Explorer.Series.all_equal(s1, s2)
    false

    iex> s1 = Explorer.Series.from_list(["a", "b"])
    iex> s2 = Explorer.Series.from_list([1, 2])
    iex> Explorer.Series.all_equal(s1, s2)
    false

# `and`

Returns a boolean mask of `left and right`, element-wise.

Both sizes must be series, the series must have the same
size or at last one of them must have size of 1.

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> mask1 = Explorer.Series.greater(s1, 1)
    iex> mask2 = Explorer.Series.less(s1, 3)
    iex> Explorer.Series.and(mask1, mask2)
    #Explorer.Series<
      Polars[3]
      boolean [false, true, false]
    >

# `cast`

```elixir
@spec cast(series :: t(), dtype :: dtype() | dtype_alias()) :: t()
```

Cast the series to another type.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.cast(s, :string)
    #Explorer.Series<
      Polars[3]
      string ["1", "2", "3"]
    >

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.cast(s, {:f, 64})
    #Explorer.Series<
      Polars[3]
      f64 [1.0, 2.0, 3.0]
    >

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.cast(s, :date)
    #Explorer.Series<
      Polars[3]
      date [1970-01-02, 1970-01-03, 1970-01-04]
    >

Note that `time` is represented as an integer of nanoseconds since midnight.
In Elixir we can't represent nanoseconds, only microseconds. So be aware that
information can be lost if a conversion is needed (e.g. calling `to_list/1`).

    iex> s = Explorer.Series.from_list([1_000, 2_000, 3_000])
    iex> Explorer.Series.cast(s, :time)
    #Explorer.Series<
      Polars[3]
      time [00:00:00.000001, 00:00:00.000002, 00:00:00.000003]
    >

    iex> s = Explorer.Series.from_list([86399 * 1_000 * 1_000 * 1_000])
    iex> Explorer.Series.cast(s, :time)
    #Explorer.Series<
      Polars[1]
      time [23:59:59.000000]
    >

Note that `datetime` is represented as an integer of microseconds since Unix Epoch (1970-01-01 00:00:00).

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.cast(s, {:naive_datetime, :microsecond})
    #Explorer.Series<
      Polars[3]
      naive_datetime[μs] [1970-01-01 00:00:00.000001, 1970-01-01 00:00:00.000002, 1970-01-01 00:00:00.000003]
    >

    iex> s = Explorer.Series.from_list([1649883642 * 1_000 * 1_000])
    iex> Explorer.Series.cast(s, {:naive_datetime, :microsecond})
    #Explorer.Series<
      Polars[1]
      naive_datetime[μs] [2022-04-13 21:00:42.000000]
    >

You can also use `cast/2` to categorise a string:

    iex> s = Explorer.Series.from_list(["apple", "banana",  "apple", "lemon"])
    iex> Explorer.Series.cast(s, :category)
    #Explorer.Series<
      Polars[4]
      category ["apple", "banana", "apple", "lemon"]
    >

`cast/2` will return the series as a no-op if you try to cast to the same dtype.

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.cast(s, :integer)
    #Explorer.Series<
      Polars[3]
      s64 [1, 2, 3]
    >

# `categorise`

Categorise a series of integers or strings according to `categories`.

This function receives a series of integers or strings and convert them
into the categories specified by the second argument.
The second argument can be one of:

  * a series with dtype `:category`. The integers will be indexes into
    the categories of the given series (returned by `categories/1`)

  * a series with dtype `:string`. The integers will be indexes into
    the series itself

  * a list of strings. The integers will be indexes into the list

This is going to essentially "copy" the source of categories from the left series
to the right. All members from the left that are not present in the right hand-side
are going to be `nil`.

If you have a series of strings and you want to convert them into categories,
invoke `cast(series, :category)` instead.

## Examples

If a categorical series is given as second argument, we will extract its
categories and map the integers into it:

    iex> categories = Explorer.Series.from_list(["a", "b", "c", nil, "a"], dtype: :category)
    iex> indexes = Explorer.Series.from_list([0, 2, 1, 0, 2])
    iex> Explorer.Series.categorise(indexes, categories)
    #Explorer.Series<
      Polars[5]
      category ["a", "c", "b", "a", "c"]
    >

Otherwise, if a list of strings or a series of strings is given, they are
considered to be the categories series itself:

    iex> categories = Explorer.Series.from_list(["a", "b", "c"])
    iex> indexes = Explorer.Series.from_list([0, 2, 1, 0, 2])
    iex> Explorer.Series.categorise(indexes, categories)
    #Explorer.Series<
      Polars[5]
      category ["a", "c", "b", "a", "c"]
    >

    iex> indexes = Explorer.Series.from_list([0, 2, 1, 0, 2])
    iex> Explorer.Series.categorise(indexes, ["a", "b", "c"])
    #Explorer.Series<
      Polars[5]
      category ["a", "c", "b", "a", "c"]
    >

Elements that are not mapped to a category will become `nil`:

    iex> indexes = Explorer.Series.from_list([0, 2, nil, 0, 2, 7])
    iex> Explorer.Series.categorise(indexes, ["a", "b", "c"])
    #Explorer.Series<
      Polars[6]
      category ["a", "c", nil, "a", "c", nil]
    >

Strings can be used as "indexes" to create a categorical series
with the intersection of members:

    iex> strings = Explorer.Series.from_list(["a", "c", nil, "c", "b", "d"])
    iex> Explorer.Series.categorise(strings, ["a", "b", "c"])
    #Explorer.Series<
      Polars[6]
      category ["a", "c", nil, "c", "b", nil]
    >

# `clip`

```elixir
@spec clip(series :: t(), min :: number(), max :: number()) :: t()
```

Clip (or clamp) the values in a series.

Values that fall outside of the interval defined by the `min` and `max`
bounds are clipped to the bounds.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`

Clipping other dtypes are possible using `select/3`.

## Examples

    iex> s = Explorer.Series.from_list([-50, 5, nil, 50])
    iex> Explorer.Series.clip(s, 1, 10)
    #Explorer.Series<
      Polars[4]
      s64 [1, 5, nil, 10]
    >

    iex> s = Explorer.Series.from_list([-50, 5, nil, 50])
    iex> Explorer.Series.clip(s, 1.5, 10.5)
    #Explorer.Series<
      Polars[4]
      f64 [1.5, 5.0, nil, 10.5]
    >

# `coalesce`

```elixir
@spec coalesce([t()]) :: t()
```

Finds the first non-missing element at each position.

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, nil, nil])
    iex> s2 = Explorer.Series.from_list([1, 2, nil, 4])
    iex> s3 = Explorer.Series.from_list([nil, nil, 3, 4])
    iex> Explorer.Series.coalesce([s1, s2, s3])
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 3, 4]
    >

# `coalesce`

```elixir
@spec coalesce(s1 :: t(), s2 :: t()) :: t()
```

Finds the first non-missing element at each position.

`coalesce(s1, s2)` is equivalent to `coalesce([s1, s2])`.

## Examples

    iex> s1 = Explorer.Series.from_list([1, nil, 3, nil])
    iex> s2 = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.coalesce(s1, s2)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 3, 4]
    >

    iex> s1 = Explorer.Series.from_list(["foo", nil, "bar", nil])
    iex> s2 = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.coalesce(s1, s2)
    ** (ArgumentError) cannot invoke Explorer.Series.coalesce/2 with mismatched dtypes: :string and {:s, 64}

# `divide`

```elixir
@spec divide(
  left :: t() | number() | Explorer.Duration.t(),
  right :: t() | number()
) :: t()
```

Divides left by right, element-wise.

The resulting series will have the dtype as `{:f, 64}`.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * decimals: the result will be a float series

## Examples

    iex> s1 = [10, 10, 10] |> Explorer.Series.from_list()
    iex> s2 = [2, 2, 2] |> Explorer.Series.from_list()
    iex> Explorer.Series.divide(s1, s2)
    #Explorer.Series<
      Polars[3]
      f64 [5.0, 5.0, 5.0]
    >

    iex> s1 = [10, 10, 10] |> Explorer.Series.from_list()
    iex> Explorer.Series.divide(s1, 2)
    #Explorer.Series<
      Polars[3]
      f64 [5.0, 5.0, 5.0]
    >

    iex> s1 = [10, 52 ,10] |> Explorer.Series.from_list()
    iex> Explorer.Series.divide(s1, 2.5)
    #Explorer.Series<
      Polars[3]
      f64 [4.0, 20.8, 4.0]
    >

    iex> s1 = [10, 10, 10] |> Explorer.Series.from_list()
    iex> s2 = [2, 0, 2] |> Explorer.Series.from_list()
    iex> Explorer.Series.divide(s1, s2)
    #Explorer.Series<
      Polars[3]
      f64 [5.0, Inf, 5.0]
    >

# `equal`

```elixir
@spec equal(
  left :: t() | number() | Date.t() | NaiveDateTime.t() | boolean() | String.t(),
  right ::
    t() | number() | Date.t() | NaiveDateTime.t() | boolean() | String.t()
) :: t()
```

Returns boolean mask of `left == right`, element-wise.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> s2 = Explorer.Series.from_list([1, 2, 4])
    iex> Explorer.Series.equal(s1, s2)
    #Explorer.Series<
      Polars[3]
      boolean [true, true, false]
    >

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.equal(s, 1)
    #Explorer.Series<
      Polars[3]
      boolean [true, false, false]
    >

    iex> s = Explorer.Series.from_list([true, true, false])
    iex> Explorer.Series.equal(s, true)
    #Explorer.Series<
      Polars[3]
      boolean [true, true, false]
    >

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.equal(s, "a")
    #Explorer.Series<
      Polars[3]
      boolean [true, false, false]
    >

    iex> s = Explorer.Series.from_list([~D[2021-01-01], ~D[1999-12-31]])
    iex> Explorer.Series.equal(s, ~D[1999-12-31])
    #Explorer.Series<
      Polars[2]
      boolean [false, true]
    >

    iex> s = Explorer.Series.from_list([~N[2022-01-01 00:00:00], ~N[2022-01-01 23:00:00]])
    iex> Explorer.Series.equal(s, ~N[2022-01-01 00:00:00])
    #Explorer.Series<
      Polars[2]
      boolean [true, false]
    >

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.equal(s, false)
    ** (ArgumentError) cannot invoke Explorer.Series.equal/2 with mismatched dtypes: :string and false

# `exp`

```elixir
@spec exp(t()) :: t()
```

Calculates the exponential of all elements.

# `filter`
*macro* 

Picks values based on an `Explorer.Query`.

The query is compiled and runs efficiently against the series.
The query must return a boolean expression or a list of boolean expressions.
When a list is returned, they are joined as `and` expressions.

> #### Notice {: .notice}
>
> This is a macro.
>
>   * You must `require Explorer.Series` before using it.
>   * You must use the special `_` syntax. See the moduledoc for details.

Besides element-wise series operations, you can also use window functions
and aggregations inside comparisons.

See `filter_with/2` for a callback version of this function without
`Explorer.Query`.
See `mask/2` if you want to filter values based on another series.

## Examples

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.filter(s, _ == "b")
    #Explorer.Series<
      Polars[1]
      string ["b"]
    >

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.filter(s, remainder(_, 2) == 1)
    #Explorer.Series<
      Polars[2]
      s64 [1, 3]
    >

Returning a non-boolean expression errors:

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.filter(s, cumulative_max(_))
    ** (ArgumentError) expecting the function to return a boolean LazySeries, but instead it returned a LazySeries of type {:s, 64}

Which can be addressed by converting it to boolean:

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.filter(s, cumulative_max(_) == 1)
    #Explorer.Series<
      Polars[1]
      s64 [1]
    >

# `filter_with`

```elixir
@spec filter_with(
  series :: t(),
  fun :: (t() -&gt; lazy_t())
) :: t()
```

Filters a series with a callback function.

See `mask/2` if you want to filter values based on another series.

## Examples

    iex> series = Explorer.Series.from_list([1, 2, 3])
    iex> is_odd = fn s -> s |> Explorer.Series.remainder(2) |> Explorer.Series.equal(1) end
    iex> Explorer.Series.filter_with(series, is_odd)
    #Explorer.Series<
      Polars[2]
      s64 [1, 3]
    >

# `greater`

```elixir
@spec greater(
  left :: t() | number() | Date.t() | NaiveDateTime.t(),
  right :: t() | number() | Date.t() | NaiveDateTime.t()
) :: t()
```

Returns boolean mask of `left > right`, element-wise.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`
  * `:decimal`

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> s2 = Explorer.Series.from_list([1, 2, 4])
    iex> Explorer.Series.greater(s1, s2)
    #Explorer.Series<
      Polars[3]
      boolean [false, false, false]
    >

# `greater_equal`

```elixir
@spec greater_equal(
  left :: t() | number() | Date.t() | NaiveDateTime.t(),
  right :: t() | number() | Date.t() | NaiveDateTime.t()
) :: t()
```

Returns boolean mask of `left >= right`, element-wise.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`
  * `:decimal`

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> s2 = Explorer.Series.from_list([1, 2, 4])
    iex> Explorer.Series.greater_equal(s1, s2)
    #Explorer.Series<
      Polars[3]
      boolean [true, true, false]
    >

# `in`

Checks if each element of the series in the left exists in the series
on the right, returning a boolean mask.

The series sizes do not have to match.

See `member?/2` if you want to check if a literal belongs to a list.

## Examples

    iex> left = Explorer.Series.from_list([1, 2, 3])
    iex> right = Explorer.Series.from_list([1, 2])
    iex> Series.in(left, right)
    #Explorer.Series<
      Polars[3]
      boolean [true, true, false]
    >

    iex> left = Explorer.Series.from_list([~D[1970-01-01], ~D[2000-01-01], ~D[2010-04-17]])
    iex> right = Explorer.Series.from_list([~D[1970-01-01], ~D[2010-04-17]])
    iex> Series.in(left, right)
    #Explorer.Series<
      Polars[3]
      boolean [true, false, true]
    >

# `is_nil`

```elixir
@spec is_nil(t()) :: t()
```

Returns a mask of nil values.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.is_nil(s)
    #Explorer.Series<
      Polars[4]
      boolean [false, false, true, false]
    >

# `is_not_nil`

```elixir
@spec is_not_nil(t()) :: t()
```

Returns a mask of not nil values.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.is_not_nil(s)
    #Explorer.Series<
      Polars[4]
      boolean [true, true, false, true]
    >

# `less`

```elixir
@spec less(
  left :: t() | number() | Date.t() | NaiveDateTime.t(),
  right :: t() | number() | Date.t() | NaiveDateTime.t()
) :: t()
```

Returns boolean mask of `left < right`, element-wise.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`
  * `:decimal`

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> s2 = Explorer.Series.from_list([1, 2, 4])
    iex> Explorer.Series.less(s1, s2)
    #Explorer.Series<
      Polars[3]
      boolean [false, false, true]
    >

# `less_equal`

```elixir
@spec less_equal(
  left :: t() | number() | Date.t() | NaiveDateTime.t(),
  right :: t() | number() | Date.t() | NaiveDateTime.t()
) :: t()
```

Returns boolean mask of `left <= right`, element-wise.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`
  * `:decimal`

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> s2 = Explorer.Series.from_list([1, 2, 4])
    iex> Explorer.Series.less_equal(s1, s2)
    #Explorer.Series<
      Polars[3]
      boolean [true, true, true]
    >

# `log`

```elixir
@spec log(argument :: t()) :: t()
```

Calculates the natural logarithm.

The resultant series is going to be of dtype `{:f, 64}`.
See `log/2` for passing a custom base.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:decimal` - returns f64 series.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3, nil, 4])
    iex> Explorer.Series.log(s)
    #Explorer.Series<
      Polars[5]
      f64 [0.0, 0.6931471805599453, 1.0986122886681098, nil, 1.3862943611198906]
    >

# `log`

```elixir
@spec log(argument :: t(), base :: number()) :: t()
```

Calculates the logarithm on a given base.

The resultant series is going to be of dtype `{:f, 64}`.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:decimal`.

## Examples

    iex> s = Explorer.Series.from_list([8, 16, 32])
    iex> Explorer.Series.log(s, 2)
    #Explorer.Series<
      Polars[3]
      f64 [3.0, 4.0, 5.0]
    >

# `map`
*macro* 

Maps values based on an `Explorer.Query`.

The query is compiled and runs efficiently against the series.

> #### Notice {: .notice}
>
> This is a macro.
>
>   * You must `require Explorer.Series` before using it.
>   * You must use the special `_` syntax. See the moduledoc for details.

See `map_with/2` for a callback version of this function without `Explorer.Query`.

This function only works with lazy computations.
See `transform/2` for a version that works with any Elixir function.

## Examples

Basic example:

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.map(s, _ * 2)
    #Explorer.Series<
      Polars[3]
      s64 [2, 4, 6]
    >

You can also use window functions and aggregations:

    iex> s = Explorer.Series.from_list([2, 3, 4])
    iex> Explorer.Series.map(s, _ - min(_))
    #Explorer.Series<
      Polars[3]
      s64 [0, 1, 2]
    >

# `map_with`

Maps a series with a callback function.

This function only works with lazy computations.
See `transform/2` for a version that works with any Elixir function.

## Examples

    iex> series = Explorer.Series.from_list([2, 3, 4])
    iex> shift_left = fn s -> Explorer.Series.subtract(s, Explorer.Series.min(s)) end
    iex> Explorer.Series.map_with(series, shift_left)
    #Explorer.Series<
      Polars[3]
      s64 [0, 1, 2]
    >

# `mask`

```elixir
@spec mask(series :: t(), mask :: t()) :: t()
```

Filters a series with a mask.

## Examples

    iex> s1 = Explorer.Series.from_list([1,2,3])
    iex> s2 = Explorer.Series.from_list([true, false, true])
    iex> Explorer.Series.mask(s1, s2)
    #Explorer.Series<
      Polars[2]
      s64 [1, 3]
    >

# `multiply`

```elixir
@spec multiply(
  left :: t() | number() | Explorer.Duration.t(),
  right :: t() | number() | Explorer.Duration.t()
) :: t()
```

Multiplies left and right, element-wise.

When mixing floats and integers, the resulting series will have dtype `{:f, 64}`.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * decimals: the result will be a decimal series

## Examples

    iex> s1 = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> s2 = 11..20 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.multiply(s1, s2)
    #Explorer.Series<
      Polars[10]
      s64 [11, 24, 39, 56, 75, 96, 119, 144, 171, 200]
    >

    iex> s1 = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.multiply(s1, 2)
    #Explorer.Series<
      Polars[5]
      s64 [2, 4, 6, 8, 10]
    >

# `not`

Negate the elements of a boolean series.

## Examples

    iex> s1 = Explorer.Series.from_list([true, false, false])
    iex> Explorer.Series.not(s1)
    #Explorer.Series<
      Polars[3]
      boolean [false, true, true]
    >

# `not_equal`

```elixir
@spec not_equal(
  left :: t() | number() | Date.t() | NaiveDateTime.t() | boolean() | String.t(),
  right ::
    t() | number() | Date.t() | NaiveDateTime.t() | boolean() | String.t()
) :: t()
```

Returns boolean mask of `left != right`, element-wise.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> s2 = Explorer.Series.from_list([1, 2, 4])
    iex> Explorer.Series.not_equal(s1, s2)
    #Explorer.Series<
      Polars[3]
      boolean [false, false, true]
    >

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.not_equal(s, 1)
    #Explorer.Series<
      Polars[3]
      boolean [false, true, true]
    >

    iex> s = Explorer.Series.from_list([true, true, false])
    iex> Explorer.Series.not_equal(s, true)
    #Explorer.Series<
      Polars[3]
      boolean [false, false, true]
    >

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.not_equal(s, "a")
    #Explorer.Series<
      Polars[3]
      boolean [false, true, true]
    >

    iex> s = Explorer.Series.from_list([~D[2021-01-01], ~D[1999-12-31]])
    iex> Explorer.Series.not_equal(s, ~D[1999-12-31])
    #Explorer.Series<
      Polars[2]
      boolean [true, false]
    >

    iex> s = Explorer.Series.from_list([~N[2022-01-01 00:00:00], ~N[2022-01-01 23:00:00]])
    iex> Explorer.Series.not_equal(s, ~N[2022-01-01 00:00:00])
    #Explorer.Series<
      Polars[2]
      boolean [false, true]
    >

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.not_equal(s, false)
    ** (ArgumentError) cannot invoke Explorer.Series.not_equal/2 with mismatched dtypes: :string and false

# `or`

Returns a boolean mask of `left or right`, element-wise.

Both sizes must be series, the series must have the same
size or at last one of them must have size of 1.

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> mask1 = Explorer.Series.less(s1, 2)
    iex> mask2 = Explorer.Series.greater(s1, 2)
    iex> Explorer.Series.or(mask1, mask2)
    #Explorer.Series<
      Polars[3]
      boolean [true, false, true]
    >

# `peaks`

```elixir
@spec peaks(series :: t(), max_or_min :: :max | :min) :: t()
```

Returns a boolean mask with `true` where the 'peaks' (series max or min, default max) are.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`
  * `:decimal`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 4, 1, 4])
    iex> Explorer.Series.peaks(s)
    #Explorer.Series<
      Polars[5]
      boolean [false, false, true, false, true]
    >

    iex> s = [~T[03:00:02.000000], ~T[13:24:56.000000], ~T[02:04:19.000000]] |> Explorer.Series.from_list()
    iex> Explorer.Series.peaks(s)
    #Explorer.Series<
      Polars[3]
      boolean [false, true, false]
    >

# `pow`

```elixir
@spec pow(left :: t() | number(), right :: t() | number()) :: t()
```

Raises a numeric series to the power of the exponent.

At least one of the arguments must be a series. If both
sides are series, the series must have the same size or
at last one of them must have size of 1.

Note that this operation can fail if the exponent is a
signed integer series or scalar containing negative values,
and the base is also of an integer type.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * decimals: the result will be a float series

## Examples

    iex> s = [8, 16, 32] |> Explorer.Series.from_list()
    iex> Explorer.Series.pow(s, 2.0)
    #Explorer.Series<
      Polars[3]
      f64 [64.0, 256.0, 1024.0]
    >

    iex> s = [2, 4, 6] |> Explorer.Series.from_list()
    iex> Explorer.Series.pow(s, 3)
    #Explorer.Series<
      Polars[3]
      s64 [8, 64, 216]
    >

    iex> s = [2, 4, 6] |> Explorer.Series.from_list()
    iex> Explorer.Series.pow(s, -3.0)
    #Explorer.Series<
      Polars[3]
      f64 [0.125, 0.015625, 0.004629629629629629]
    >

    iex> s = [1.0, 2.0, 3.0] |> Explorer.Series.from_list()
    iex> Explorer.Series.pow(s, 3.0)
    #Explorer.Series<
      Polars[3]
      f64 [1.0, 8.0, 27.0]
    >

    iex> s = [2.0, 4.0, 6.0] |> Explorer.Series.from_list()
    iex> Explorer.Series.pow(s, 2)
    #Explorer.Series<
      Polars[3]
      f64 [4.0, 16.0, 36.0]
    >

# `quotient`

```elixir
@spec quotient(left :: t(), right :: t() | integer()) :: t()
```

Element-wise integer division.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Supported dtype

  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`

Returns `nil` if there is a zero in the right-hand side.

## Examples

    iex> s1 = [10, 11, 10] |> Explorer.Series.from_list()
    iex> s2 = [2, 2, 2] |> Explorer.Series.from_list()
    iex> Explorer.Series.quotient(s1, s2)
    #Explorer.Series<
      Polars[3]
      s64 [5, 5, 5]
    >

    iex> s1 = [10, 11, 10] |> Explorer.Series.from_list()
    iex> s2 = [2, 2, 0] |> Explorer.Series.from_list()
    iex> Explorer.Series.quotient(s1, s2)
    #Explorer.Series<
      Polars[3]
      s64 [5, 5, nil]
    >

    iex> s1 = [10, 12, 15] |> Explorer.Series.from_list()
    iex> Explorer.Series.quotient(s1, 3)
    #Explorer.Series<
      Polars[3]
      s64 [3, 4, 5]
    >

# `rank`

```elixir
@spec rank(series :: t(), opts :: Keyword.t()) :: t()
```

Assign ranks to data with appropriate handling of tied values.

## Options

* `:method` - Determine how ranks are assigned to tied elements. The following methods are available:
  - `:average` : Each value receives the average rank that would be assigned to all tied values. (default)
  - `:min` : Tied values are assigned the minimum rank. Also known as "competition" ranking.
  - `:max` : Tied values are assigned the maximum of their ranks.
  - `:dense` : Similar to `:min`, but the rank of the next highest element is assigned the rank immediately after those assigned to the tied elements.
  - `:ordinal` : Each value is given a distinct rank based on its occurrence in the series.
  - `:random` : Similar to `:ordinal`, but the rank for ties is not dependent on the order that the values occur in the Series.
* `:descending` - Rank in descending order.
* `:seed` - An integer to be used as a random seed. If nil, a random value between 0 and 2^64 − 1 will be used. (default: nil)

## Examples

    iex> s = Explorer.Series.from_list([3, 6, 1, 1, 6])
    iex> Explorer.Series.rank(s)
    #Explorer.Series<
      Polars[5]
      f64 [3.0, 4.5, 1.5, 1.5, 4.5]
    >

    iex> s = Explorer.Series.from_list([1.1, 2.4, 3.2])
    iex> Explorer.Series.rank(s, method: :ordinal)
    #Explorer.Series<
      Polars[3]
      u32 [1, 2, 3]
    >

    iex> s = Explorer.Series.from_list([ ~N[2022-07-07 17:44:13.020548], ~N[2022-07-07 17:43:08.473561], ~N[2022-07-07 17:45:00.116337] ])
    iex> Explorer.Series.rank(s, method: :average)
    #Explorer.Series<
      Polars[3]
      f64 [2.0, 1.0, 3.0]
    >

    iex> s = Explorer.Series.from_list([3, 6, 1, 1, 6])
    iex> Explorer.Series.rank(s, method: :min)
    #Explorer.Series<
      Polars[5]
      s64 [3, 4, 1, 1, 4]
    >

    iex> s = Explorer.Series.from_list([3, 6, 1, 1, 6])
    iex> Explorer.Series.rank(s, method: :dense)
    #Explorer.Series<
      Polars[5]
      s64 [2, 3, 1, 1, 3]
    >

    iex> s = Explorer.Series.from_list([3, 6, 1, 1, 6])
    iex> Explorer.Series.rank(s, method: :random, seed: 42)
    #Explorer.Series<
      Polars[5]
      s64 [3, 5, 1, 2, 4]
    >

# `remainder`

```elixir
@spec remainder(left :: t(), right :: t() | integer()) :: t()
```

Computes the remainder of an element-wise integer division.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Supported dtype

  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`

Returns `nil` if there is a zero in the right-hand side.

## Examples

    iex> s1 = [10, 11, 10] |> Explorer.Series.from_list()
    iex> s2 = [2, 2, 2] |> Explorer.Series.from_list()
    iex> Explorer.Series.remainder(s1, s2)
    #Explorer.Series<
      Polars[3]
      s64 [0, 1, 0]
    >

    iex> s1 = [10, 11, 10] |> Explorer.Series.from_list()
    iex> s2 = [2, 2, 0] |> Explorer.Series.from_list()
    iex> Explorer.Series.remainder(s1, s2)
    #Explorer.Series<
      Polars[3]
      s64 [0, 1, nil]
    >

    iex> s1 = [10, 11, 9] |> Explorer.Series.from_list()
    iex> Explorer.Series.remainder(s1, 3)
    #Explorer.Series<
      Polars[3]
      s64 [1, 2, 0]
    >

# `row_index`

```elixir
@spec row_index(t()) :: t()
```

Returns a series of indexes for each item (row) in the series, starting from 0.

## Examples

    iex> s = Series.from_list([nil, true, true])
    iex> Series.row_index(s)
    #Explorer.Series<
      Polars[3]
      u32 [0, 1, 2]
    >

This function can be used to add a row index as the first column of a dataframe.
The resulting column is a regular column of type `:u32`.

    iex> require Explorer.DataFrame, as: DF
    iex> df = DF.new(a: [1, 3, 5], b: [2, 4, 6])
    iex> DF.mutate(df, index: row_index(a)) |> DF.relocate("index", before: 0)
    #Explorer.DataFrame<
      Polars[3 x 3]
      index u32 [0, 1, 2]
      a s64 [1, 3, 5]
      b s64 [2, 4, 6]
    >
    iex> df = DF.new(a: [1, 3, 5], b: [2, 4, 6])
    iex> DF.mutate(df, id: row_index(a) + 1000)
    #Explorer.DataFrame<
      Polars[3 x 3]
      a s64 [1, 3, 5]
      b s64 [2, 4, 6]
      id s64 [1000, 1001, 1002]
    >

# `select`

```elixir
@spec select(
  predicate :: t(),
  on_true :: t() | inferable_scalar(),
  on_false :: t() | inferable_scalar()
) :: t()
```

Returns a series from two series, based on a predicate.

The resulting series is built by evaluating each element of
`predicate` and returning either the corresponding element from
`on_true` or `on_false`.

`predicate` must be a boolean series. `on_true` and `on_false` must be
a series of the same size as `predicate` or a series of size 1.

It is possible to mix numeric series in the `on_true` and `on_false`,
and the resultant series will have the dtype of the greater side.
For example, `:u8` and `:s16` is going to result in `:s16` series.

# `strftime`

```elixir
@spec strftime(series :: t(), format_string :: String.t()) :: t()
```

Converts a datetime series to a string series.

For the format string specification, refer to the
[chrono crate documentation](https://docs.rs/chrono/latest/chrono/format/strftime/index.html).

Use `cast(series, :string)` for the default `"%Y-%m-%d %H:%M:%S%.6f"` format.

## Examples

    iex> s = Explorer.Series.from_list([~N[2023-01-05 12:34:56], nil])
    iex> Explorer.Series.strftime(s, "%Y/%m/%d %H:%M:%S")
    #Explorer.Series<
      Polars[2]
      string ["2023/01/05 12:34:56", nil]
    >

# `strptime`

```elixir
@spec strptime(series :: t(), format_string :: String.t()) :: t()
```

Converts a string series to a datetime series with a given `format_string`.

For the format string specification, refer to the
[chrono crate documentation](https://docs.rs/chrono/latest/chrono/format/strftime/).

Use `cast(series, :datetime)` if you prefer the format to be inferred (if possible).

## Examples

    iex> s = Explorer.Series.from_list(["2023-01-05 12:34:56", "XYZ", nil])
    iex> Explorer.Series.strptime(s, "%Y-%m-%d %H:%M:%S")
    #Explorer.Series<
      Polars[3]
      naive_datetime[μs] [2023-01-05 12:34:56.000000, nil, nil]
    >

# `subtract`

```elixir
@spec subtract(
  left ::
    t()
    | number()
    | Date.t()
    | DateTime.t()
    | NaiveDateTime.t()
    | Explorer.Duration.t(),
  right ::
    t()
    | number()
    | Date.t()
    | DateTime.t()
    | NaiveDateTime.t()
    | Explorer.Duration.t()
) :: t()
```

Subtracts right from left, element-wise.

When mixing floats and integers, the resulting series will have dtype `{:f, 64}`.
In case both series are of unsigned integers, we will try to subtract,
but an exception is raised if overflow occurs.

At least one of the arguments must be a series. If both
sizes are series, the series must have the same size or
at last one of them must have size of 1.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * decimals

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> s2 = Explorer.Series.from_list([4, 5, 6])
    iex> Explorer.Series.subtract(s1, s2)
    #Explorer.Series<
      Polars[3]
      s64 [-3, -3, -3]
    >

You can also use scalar values on both sides:

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.subtract(s1, 2)
    #Explorer.Series<
      Polars[3]
      s64 [-1, 0, 1]
    >

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.subtract(2, s1)
    #Explorer.Series<
      Polars[3]
      s64 [1, 0, -1]
    >

# `transform`

Returns an `Explorer.Series` where each element is the result of invoking `fun` on each
corresponding element of `series`.

This is an expensive operation meant to enable the use of arbitrary Elixir functions against
any backend. The implementation will vary by backend but in most (all?) cases will require
converting to an `Elixir.List`, applying `Enum.map/2`, and then converting back to an
`Explorer.Series`.

See also the version of this function for a dataframe:

  * `Explorer.DataFrame.transform/3`

## Examples

    iex> s = Explorer.Series.from_list(["this ", " is", "great   "])
    iex> Explorer.Series.transform(s, &String.trim/1)
    #Explorer.Series<
      Polars[3]
      string ["this", "is", "great"]
    >

    iex> s = Explorer.Series.from_list(["this", "is", "great"])
    iex> Explorer.Series.transform(s, &String.length/1)
    #Explorer.Series<
      Polars[3]
      s64 [4, 2, 5]
    >

# `day_of_month`

```elixir
@spec day_of_month(t()) :: t()
```

Returns the day of the month as a number starting from 1. The return value ranges from 1 to 31.

## Examples

    iex> s = Explorer.Series.from_list([~D[2023-01-15], ~D[2023-02-16], ~D[2023-03-20], nil])
    iex> Explorer.Series.day_of_month(s)
    #Explorer.Series<
      Polars[4]
      s8 [15, 16, 20, nil]
    >

It can also be called on a datetime series.

    iex> s = Explorer.Series.from_list([~N[2023-01-15 00:00:00], ~N[2023-02-16 23:59:59.999999], ~N[2023-03-20 12:00:00], nil])
    iex> Explorer.Series.day_of_month(s)
    #Explorer.Series<
      Polars[4]
      s8 [15, 16, 20, nil]
    >

# `day_of_week`

```elixir
@spec day_of_week(t()) :: t()
```

Returns a day-of-week number starting from Monday = 1. (ISO 8601 weekday number)

## Examples

    iex> s = Explorer.Series.from_list([~D[2023-01-15], ~D[2023-01-16], ~D[2023-01-20], nil])
    iex> Explorer.Series.day_of_week(s)
    #Explorer.Series<
      Polars[4]
      s8 [7, 1, 5, nil]
    >

It can also be called on a datetime series.

    iex> s = Explorer.Series.from_list([~N[2023-01-15 00:00:00], ~N[2023-01-16 23:59:59.999999], ~N[2023-01-20 12:00:00], nil])
    iex> Explorer.Series.day_of_week(s)
    #Explorer.Series<
      Polars[4]
      s8 [7, 1, 5, nil]
    >

# `day_of_year`

```elixir
@spec day_of_year(t()) :: t()
```

Returns the day-of-year number starting from 1.

The return value ranges from 1 to 366 (the last day of year differs by years).

## Examples

    iex> s = Explorer.Series.from_list([~D[2023-01-01], ~D[2023-01-02], ~D[2023-02-01], nil])
    iex> Explorer.Series.day_of_year(s)
    #Explorer.Series<
      Polars[4]
      s16 [1, 2, 32, nil]
    >

It can also be called on a datetime series.

    iex> s = Explorer.Series.from_list(
    ...>   [~N[2023-01-01 00:00:00], ~N[2023-01-02 00:00:00], ~N[2023-02-01 23:59:59], nil]
    ...> )
    iex> Explorer.Series.day_of_year(s)
    #Explorer.Series<
      Polars[4]
      s16 [1, 2, 32, nil]
    >

# `hour`

```elixir
@spec hour(t()) :: t()
```

Returns the hour number from 0 to 23.

## Examples

    iex> s = Explorer.Series.from_list([~N[2023-01-15 00:00:00], ~N[2022-02-16 23:59:59.999999], ~N[2021-03-20 12:00:00], nil])
    iex> Explorer.Series.hour(s)
    #Explorer.Series<
      Polars[4]
      s8 [0, 23, 12, nil]
    >

# `is_leap_year`

```elixir
@spec is_leap_year(t()) :: t()
```

Returns a boolean for whether the current calendar year is a leap year.

## Examples

    iex> s = Explorer.Series.from_list([~D[2023-01-15], ~D[2020-03-20], nil])
    iex> Explorer.Series.is_leap_year(s)
    #Explorer.Series<
      Polars[3]
      boolean [false, true, nil]
    >

It can also be called on a datetime series.

    iex> s = Explorer.Series.from_list([~N[2023-01-15 00:00:00], ~N[2020-03-20 12:00:00], nil])
    iex> Explorer.Series.is_leap_year(s)
    #Explorer.Series<
      Polars[3]
      boolean [false, true, nil]
    >

# `iso_year`

```elixir
@spec iso_year(t()) :: t()
```

Returns the year number according to the ISO week calendar, which may not match the calendar year.

## Examples

    iex> s = Explorer.Series.from_list([~D[2023-01-01], ~D[2021-03-20], nil])
    iex> Explorer.Series.iso_year(s)
    #Explorer.Series<
      Polars[3]
      s32 [2022, 2021, nil]
    >

It can also be called on a datetime series.

    iex> s = Explorer.Series.from_list([~N[2023-01-01 00:00:00], ~N[2021-03-20 12:00:00], nil])
    iex> Explorer.Series.iso_year(s)
    #Explorer.Series<
      Polars[3]
      s32 [2022, 2021, nil]
    >

# `minute`

```elixir
@spec minute(t()) :: t()
```

Returns the minute number from 0 to 59.

## Examples

    iex> s = Explorer.Series.from_list([~N[2023-01-15 00:00:00], ~N[2022-02-16 23:59:59.999999], ~N[2021-03-20 12:00:00], nil])
    iex> Explorer.Series.minute(s)
    #Explorer.Series<
      Polars[4]
      s8 [0, 59, 0, nil]
    >

# `month`

```elixir
@spec month(t()) :: t()
```

Returns the month number starting from 1. The return value ranges from 1 to 12.

## Examples

    iex> s = Explorer.Series.from_list([~D[2023-01-15], ~D[2023-02-16], ~D[2023-03-20], nil])
    iex> Explorer.Series.month(s)
    #Explorer.Series<
      Polars[4]
      s8 [1, 2, 3, nil]
    >

It can also be called on a datetime series.

    iex> s = Explorer.Series.from_list([~N[2023-01-15 00:00:00], ~N[2023-02-16 23:59:59.999999], ~N[2023-03-20 12:00:00], nil])
    iex> Explorer.Series.month(s)
    #Explorer.Series<
      Polars[4]
      s8 [1, 2, 3, nil]
    >

# `nanosecond`

```elixir
@spec nanosecond(t()) :: t()
```

Returns the nanosecond number from 0 to 999999999.

## Examples

    iex> s = Explorer.Series.from_list([~N[2023-01-15 00:00:00], ~N[2022-02-16 23:59:59.999999], ~N[2021-03-20 12:00:00], nil])
    iex> Explorer.Series.nanosecond(s)
    #Explorer.Series<
      Polars[4]
      s32 [0, 999999000, 0, nil]
    >

# `quarter_of_year`

```elixir
@spec quarter_of_year(t()) :: t()
```

Returns the quarter of the calendar year, as a number between 1 and 4.

Quarter 1 is the months Jan, Feb, Mar. Quarter 2 is Apr, May, Jun. Quarter 3 is Jul, Aug, Sep. Quarter 4 is Oct, Nov, Dec.

## Examples

    iex> s = Explorer.Series.from_list([~D[2023-01-15], ~D[2021-04-20], nil])
    iex> Explorer.Series.quarter_of_year(s)
    #Explorer.Series<
      Polars[3]
      s8 [1, 2, nil]
    >

It can also be called on a datetime series.

    iex> s = Explorer.Series.from_list([~N[2023-01-15 00:00:00], ~N[2021-04-20 12:00:00], nil])
    iex> Explorer.Series.quarter_of_year(s)
    #Explorer.Series<
      Polars[3]
      s8 [1, 2, nil]
    >

# `second`

```elixir
@spec second(t()) :: t()
```

Returns the second number from 0 to 59.

## Examples

    iex> s = Explorer.Series.from_list([~N[2023-01-15 00:00:00], ~N[2022-02-16 23:59:59.999999], ~N[2021-03-20 12:00:00], nil])
    iex> Explorer.Series.second(s)
    #Explorer.Series<
      Polars[4]
      s8 [0, 59, 0, nil]
    >

# `week_of_year`

```elixir
@spec week_of_year(t()) :: t()
```

Returns the week-of-year number.

The return value ranges from 1 to 53 (the last week of year differs by years).

Weeks start on Monday and end on Sunday. If the final week of a year does not end on Sunday, the
first days of the following year will have a week number of 52 (or 53 for a leap year).

## Examples

    iex> s = Explorer.Series.from_list([~D[2023-01-01], ~D[2023-01-02], ~D[2023-02-01], nil])
    iex> Explorer.Series.week_of_year(s)
    #Explorer.Series<
      Polars[4]
      s8 [52, 1, 5, nil]
    >

It can also be called on a datetime series.

    iex> s = Explorer.Series.from_list(
    ...>   [~N[2023-01-01 00:00:00], ~N[2023-01-02 00:00:00], ~N[2023-02-01 23:59:59], nil]
    ...> )
    iex> Explorer.Series.week_of_year(s)
    #Explorer.Series<
      Polars[4]
      s8 [52, 1, 5, nil]
    >

# `year`

```elixir
@spec year(t()) :: t()
```

Returns the year number in the calendar date.

## Examples

    iex> s = Explorer.Series.from_list([~D[2023-01-15], ~D[2022-02-16], ~D[2021-03-20], nil])
    iex> Explorer.Series.year(s)
    #Explorer.Series<
      Polars[4]
      s32 [2023, 2022, 2021, nil]
    >

It can also be called on a datetime series.

    iex> s = Explorer.Series.from_list([~N[2023-01-15 00:00:00], ~N[2022-02-16 23:59:59.999999], ~N[2021-03-20 12:00:00], nil])
    iex> Explorer.Series.year(s)
    #Explorer.Series<
      Polars[4]
      s32 [2023, 2022, 2021, nil]
    >

# `acos`

```elixir
@spec acos(series :: t()) :: t()
```

Computes the the arccosine of a number.
The resultant series is going to be of dtype `{:f, 64}`, in radians, with values between 0 and pi.

## Supported dtype

  * `{:f, 32}`
  * `{:f, 64}`

## Examples

    iex> s = [1.0, 0.0, -1.0, -0.7071067811865475, 0.7071067811865475] |> Explorer.Series.from_list()
    iex> Explorer.Series.acos(s)
    #Explorer.Series<
      Polars[5]
      f64 [0.0, 1.5707963267948966, 3.141592653589793, 2.356194490192345, 0.7853981633974484]
    >

# `asin`

```elixir
@spec asin(series :: t()) :: t()
```

Computes the the arcsine of a number.
The resultant series is going to be of dtype `{:f, 64}`, in radians, with values between -pi/2 and pi/2.

## Supported dtype

  * `{:f, 32}`
  * `{:f, 64}`

## Examples

    iex> s = [1.0, 0.0, -1.0, -0.7071067811865475, 0.7071067811865475] |> Explorer.Series.from_list()
    iex> Explorer.Series.asin(s)
    #Explorer.Series<
      Polars[5]
      f64 [1.5707963267948966, 0.0, -1.5707963267948966, -0.7853981633974482, 0.7853981633974482]
    >

# `atan`

```elixir
@spec atan(series :: t()) :: t()
```

Computes the the arctangent of a number.
The resultant series is going to be of dtype `{:f, 64}`, in radians, with values between -pi/2 and pi/2.

## Supported dtype

  * `{:f, 32}`
  * `{:f, 64}`

## Examples

    iex> s = [1.0, 0.0, -1.0, -0.7071067811865475, 0.7071067811865475] |> Explorer.Series.from_list()
    iex> Explorer.Series.atan(s)
    #Explorer.Series<
      Polars[5]
      f64 [0.7853981633974483, 0.0, -0.7853981633974483, -0.6154797086703873, 0.6154797086703873]
    >

# `ceil`

```elixir
@spec ceil(t()) :: t()
```

Ceil floating point series to highest integers smaller or equal to the float value.

## Examples

    iex> s = Explorer.Series.from_list([1.124993, 2.555321, 3.995001])
    iex> Explorer.Series.ceil(s)
    #Explorer.Series<
      Polars[3]
      f64 [2.0, 3.0, 4.0]
    >

# `cos`

```elixir
@spec cos(series :: t()) :: t()
```

Computes the the cosine of a number (in radians).
The resultant series is going to be of dtype `{:f, 64}`, with values between 1 and -1.

## Supported dtype

  * `{:f, 32}`
  * `{:f, 64}`

## Examples

    iex> pi = :math.pi()
    iex> s = [-pi * 3/2, -pi, -pi / 2, -pi / 4, 0, pi / 4, pi / 2, pi, pi * 3/2] |> Explorer.Series.from_list()
    iex> Explorer.Series.cos(s)
    #Explorer.Series<
      Polars[9]
      f64 [-1.8369701987210297e-16, -1.0, 6.123233995736766e-17, 0.7071067811865476, 1.0, 0.7071067811865476, 6.123233995736766e-17, -1.0, -1.8369701987210297e-16]
    >

# `degrees`

```elixir
@spec degrees(series :: t()) :: t()
```

Converts given radians to degrees.
The resultant series is going to be of dtype `{:f, 64}`.

## Supported dtype

  * `{:f, 32}`
  * `{:f, 64}`

## Examples

    iex> s = [-12.566370614359172, -9.42477796076938, -6.283185307179586, -3.141592653589793, 0.0, 3.141592653589793, 6.283185307179586, 9.42477796076938, 12.566370614359172] |> Explorer.Series.from_list()
    iex> Explorer.Series.degrees(s)
    #Explorer.Series<
      Polars[9]
      f64 [-720.0, -540.0, -360.0, -180.0, 0.0, 180.0, 360.0, 540.0, 720.0]
    >

# `floor`

```elixir
@spec floor(t()) :: t()
```

Floor floating point series to lowest integers smaller or equal to the float value.

## Examples

    iex> s = Explorer.Series.from_list([1.124993, 2.555321, 3.995001])
    iex> Explorer.Series.floor(s)
    #Explorer.Series<
      Polars[3]
      f64 [1.0, 2.0, 3.0]
    >

# `is_finite`

```elixir
@spec is_finite(t()) :: t()
```

Returns a mask of finite values.

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 0, nil])
    iex> s2 = Explorer.Series.from_list([0, 2, 0, nil])
    iex> s3 = Explorer.Series.divide(s1, s2)
    iex> Explorer.Series.is_finite(s3)
    #Explorer.Series<
      Polars[4]
      boolean [false, true, false, nil]
    >

# `is_infinite`

```elixir
@spec is_infinite(t()) :: t()
```

Returns a mask of infinite values.

## Examples

    iex> s1 = Explorer.Series.from_list([1, -1, 2, 0, nil])
    iex> s2 = Explorer.Series.from_list([0, 0, 2, 0, nil])
    iex> s3 = Explorer.Series.divide(s1, s2)
    iex> Explorer.Series.is_infinite(s3)
    #Explorer.Series<
      Polars[5]
      boolean [true, true, false, false, nil]
    >

# `is_nan`

```elixir
@spec is_nan(t()) :: t()
```

Returns a mask of nan values.

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 0, nil])
    iex> s2 = Explorer.Series.from_list([0, 2, 0, nil])
    iex> s3 = Explorer.Series.divide(s1, s2)
    iex> Explorer.Series.is_nan(s3)
    #Explorer.Series<
      Polars[4]
      boolean [false, false, true, nil]
    >

# `radians`

```elixir
@spec radians(series :: t()) :: t()
```

Converts given degrees to radians.
The resultant series is going to be of dtype `{:f, 64}`.

## Supported dtype

  * `{:f, 32}`
  * `{:f, 64}`

## Examples

    iex> s = [-720.0, -540.0, -360.0, -180.0, 0.0, 180.0, 360.0, 540.0, 720.0] |> Explorer.Series.from_list()
    iex> Explorer.Series.radians(s)
    #Explorer.Series<
      Polars[9]
      f64 [-12.566370614359172, -9.42477796076938, -6.283185307179586, -3.141592653589793, 0.0, 3.141592653589793, 6.283185307179586, 9.42477796076938, 12.566370614359172]
    >

# `round`

```elixir
@spec round(t(), non_neg_integer()) :: t()
```

Round floating point series to given decimal places.

## Examples

    iex> s = Explorer.Series.from_list([1.124993, 2.555321, 3.995001])
    iex> Explorer.Series.round(s, 2)
    #Explorer.Series<
      Polars[3]
      f64 [1.12, 2.56, 4.0]
    >

# `sin`

```elixir
@spec sin(series :: t()) :: t()
```

Computes the the sine of a number (in radians).
The resultant series is going to be of dtype `{:f, 64}`, with values between 1 and -1.

## Supported dtype

  * `{:f, 32}`
  * `{:f, 64}`

## Examples

    iex> pi = :math.pi()
    iex> s = [-pi * 3/2, -pi, -pi / 2, -pi / 4, 0, pi / 4, pi / 2, pi, pi * 3/2] |> Explorer.Series.from_list()
    iex> Explorer.Series.sin(s)
    #Explorer.Series<
      Polars[9]
      f64 [1.0, -1.2246467991473532e-16, -1.0, -0.7071067811865475, 0.0, 0.7071067811865475, 1.0, 1.2246467991473532e-16, -1.0]
    >

# `tan`

```elixir
@spec tan(series :: t()) :: t()
```

Computes the tangent of a number (in radians).
The resultant series is going to be of dtype `{:f, 64}`.

## Supported dtype

  * `{:f, 32}`
  * `{:f, 64}`

## Examples

    iex> pi = :math.pi()
    iex> s = [-pi * 3/2, -pi, -pi / 2, -pi / 4, 0, pi / 4, pi / 2, pi, pi * 3/2] |> Explorer.Series.from_list()
    iex> Explorer.Series.tan(s)
    #Explorer.Series<
      Polars[9]
      f64 [-5443746451065123.0, 1.2246467991473532e-16, -1.633123935319537e16, -0.9999999999999999, 0.0, 0.9999999999999999, 1.633123935319537e16, -1.2246467991473532e-16, 5443746451065123.0]
    >

# `contains`

```elixir
@spec contains(t(), String.t()) :: t()
```

Detects whether a string contains a substring.

> ### Notice {: .warning}
>
> This function detects only literal strings. For regular expressions, see `re_contains/2`.

## Examples

    iex> s = Explorer.Series.from_list(["abc", "def", "bcd"])
    iex> Explorer.Series.contains(s, "bc")
    #Explorer.Series<
      Polars[3]
      boolean [true, false, true]
    >

# `count_matches`

```elixir
@spec count_matches(t(), String.t()) :: t()
```

Count how many times a substring appears in a string.

> ### Notice {: .warning}
>
> This function detects only literal strings. For regular expressions, see `re_count_matches/2`.

## Examples

    iex> s = Explorer.Series.from_list(["abc", "def", "bcd", nil])
    iex> Explorer.Series.count_matches(s, "bc")
    #Explorer.Series<
      Polars[4]
      u32 [1, 0, 1, nil]
    >

# `downcase`

```elixir
@spec downcase(t()) :: t()
```

Converts all characters to lowercase.

## Examples

    iex> s = Explorer.Series.from_list(["ABC", "DEF", "BCD"])
    iex> Explorer.Series.downcase(s)
    #Explorer.Series<
      Polars[3]
      string ["abc", "def", "bcd"]
    >

# `json_decode`

```elixir
@spec json_decode(t(), dtype() | dtype_alias()) :: t()
```

Decodes a string series containing valid JSON according to `dtype`.

## Examples

    iex> s = Series.from_list(["1"])
    iex> Series.json_decode(s, {:s, 64})
    #Explorer.Series<
      Polars[1]
      s64 [1]
    >

    iex> s = Series.from_list(["{\"a\":1}"])
    iex> Series.json_decode(s, {:struct, [{"a", {:s, 64}}]})
    #Explorer.Series<
      Polars[1]
      struct[1] [%{"a" => 1}]
    >

# `json_path_match`

```elixir
@spec json_path_match(t(), String.t()) :: t()
```

Extracts a string series using a [`json_path`](https://goessner.net/articles/JsonPath/) from a series.

## Examples

    iex> s = Series.from_list(["{\"a\":1}", "{\"a\":2}"])
    iex> Series.json_path_match(s, "$.a")
    #Explorer.Series<
      Polars[2]
      string ["1", "2"]
    >

If `json_path` is not found or if the string is invalid JSON or `nil`,
nil is returned for the given entry:

    iex> s = Series.from_list(["{\"a\":1}", nil, "{\"a\":2}"])
    iex> Series.json_path_match(s, "$.b")
    #Explorer.Series<
      Polars[3]
      string [nil, nil, nil]
    >

It raises an exception if the `json_path` is invalid.

# `lstrip`

```elixir
@spec lstrip(t()) :: t()
```

Returns a string series where all leading Unicode whitespaces have been removed.

## Examples

    iex> s = Explorer.Series.from_list(["  abc", "def  ", "  bcd"])
    iex> Explorer.Series.lstrip(s)
    #Explorer.Series<
      Polars[3]
      string ["abc", "def  ", "bcd"]
    >

# `lstrip`

```elixir
@spec lstrip(t(), String.t()) :: t()
```

Returns a string series where all leading examples of the provided string
have been removed.

Where multiple characters are provided, all combinations of this set of characters will be stripped
## Examples

    iex> s = Explorer.Series.from_list(["$1", "$$200$$", "$$$3000$"])
    iex> Explorer.Series.lstrip(s, "$")
    #Explorer.Series<
      Polars[3]
      string ["1", "200$$", "3000$"]
    >

    iex> s = Explorer.Series.from_list(["abc", "adefa", "bcda"])
    iex> Explorer.Series.lstrip(s, "ab")
    #Explorer.Series<
      Polars[3]
      string ["c", "defa", "cda"]
    >

# `re_contains`

```elixir
@spec re_contains(t(), String.t()) :: t()
```

Detects whether a string matches a pattern.

> ### Notice {: .warning}
>
> This function matches against a regular expression. It does not expect an Elixir regex,
> but a escaped string and you can use the `~S` sigil for escaping it. Since each Explorer
> backend may have its own regular expression rules, you must consult their underlying
> engine. For the default backend (Polars), the rules are outlined in the Rust create named
> [`regex`](https://docs.rs/regex/latest/regex/).
>
> To match literal strings, you can use `contains/2`.

## Examples

    iex> s = Explorer.Series.from_list(["abc", "def", "bcd"])
    iex> Explorer.Series.re_contains(s, ~S/(a|e)/)
    #Explorer.Series<
      Polars[3]
      boolean [true, true, false]
    >

# `re_count_matches`

```elixir
@spec re_count_matches(t(), String.t()) :: t()
```

Count how many times a pattern matches a string.

> ### Notice {: .warning}
>
> This function matches against a regular expression. It does not expect an Elixir regex,
> but a escaped string and you can use the `~S` sigil for escaping it. Since each Explorer
> backend may have its own regular expression rules, you must consult their underlying
> engine. For the default backend (Polars), the rules are outlined in the Rust create named
> [`regex`](https://docs.rs/regex/latest/regex/).
>
> To count matching literal strings, you can use `count_matches/2`.

## Examples

    iex> s = Explorer.Series.from_list(["abc", "def def", "bcd", nil])
    iex> Explorer.Series.re_count_matches(s, ~S/(a|e)/)
    #Explorer.Series<
      Polars[4]
      u32 [1, 2, 0, nil]
    >

# `re_named_captures`

```elixir
@spec re_named_captures(t(), String.t()) :: t()
```

Extract all capture groups as a struct for the given regex pattern.

All group names are strings. If your pattern contains unnamed groups, their numerical position
is converted to a string, starting from "1".

> ### Notice {: .warning}
>
> This function does not work inside the context of `Explorer.Query`. If you are working on
> a data frame, you first need to extract the series from it. See `Explorer.DataFrame.pull/2`.
>
> This function matches against a regular expression. It does not expect an Elixir regex,
> but a escaped string and you can use the `~S` sigil for escaping it. Since each Explorer
> backend may have its own regular expression rules, you must consult their underlying
> engine. For the default backend (Polars), the rules are outlined in the Rust create named
> [`regex`](https://docs.rs/regex/latest/regex/).

## Examples

    iex> s = Explorer.Series.from_list(["abc", "def def", "bcd", nil])
    iex> Explorer.Series.re_named_captures(s, ~S/(b|d)/)
    #Explorer.Series<
      Polars[4]
      struct[1] [%{"1" => "b"}, %{"1" => "d"}, %{"1" => "b"}, nil]
    >

    iex> s = Explorer.Series.from_list(["alice@service.com", "bob@example.com"])
    iex> Explorer.Series.re_named_captures(s, ~S/(?<account>[^@]+)@(?<host>.*)/)
    #Explorer.Series<
      Polars[2]
      struct[2] [%{"account" => "alice", "host" => "service.com"}, %{"account" => "bob", "host" => "example.com"}]
    >

# `re_replace`

```elixir
@spec re_replace(t(), binary(), binary()) :: t()
```

Replaces all occurences of a pattern with replacement in string series.

Both pattern and replacement must be of type string. The replacement
can refer to groups captures by using the `${x}`, where `x` is a number starting from 1.
It can also refer to named groups using the same syntax.

> ### Notice {: .warning}
>
> This function matches against a regular expression. It does not expect an Elixir regex,
> but a escaped string and you can use the `~S` sigil for escaping it. Since each Explorer
> backend may have its own regular expression rules, you must consult their underlying
> engine. For the default backend (Polars), the rules are outlined in the Rust create named
> [`regex`](https://docs.rs/regex/latest/regex/).
>
> To replace by literal strings, you can use `replace/3`.

## Examples

    iex> series = Explorer.Series.from_list(["1.200,45", "1.234.567,30", "asdf", nil])
    iex> Explorer.Series.re_replace(series, ~S/[,.]/, "")
    #Explorer.Series<
      Polars[4]
      string ["120045", "123456730", "asdf", nil]
    >

    iex> series = Explorer.Series.from_list(["hat", "hut"])
    iex> Explorer.Series.re_replace(series, ~S/h(.)t/, "b${1}d")
    #Explorer.Series<
      Polars[2]
      string ["bad", "bud"]
    >

    iex> series = Explorer.Series.from_list(["hat", "hut"])
    iex> Explorer.Series.re_replace(series, ~S/h(?<vowel>.)t/, "b${vowel}d")
    #Explorer.Series<
      Polars[2]
      string ["bad", "bud"]
    >

Apply case-insensitive string replacement using the `(?i)` flag - remember, from the `regex` Rust crate.

    iex> series = Explorer.Series.from_list(["Foggy", "Rainy", "Sunny"])
    iex> Explorer.Series.re_replace(series, ~S/(?i)foggy|rainy/, "Sunny")
    #Explorer.Series<
      Polars[3]
      string ["Sunny", "Sunny", "Sunny"]
    >

With an Elixir regex it causes an error:

    iex> series = Explorer.Series.from_list(["hat", "hut"])
    iex> Explorer.Series.re_replace(series, ~r/h(.)t/, "b${1}d")
    ** (ArgumentError) standard regexes cannot be used as pattern because it may be incompatible with the backend. Please use the `~S` sigil or extract the source from the regex with `Regex.source/1`

# `re_scan`

```elixir
@spec re_scan(t(), String.t()) :: t()
```

Scan for all matches for the given regex pattern.

Extract each successive non-overlapping regex match in an individual string as a list.

> ### Notice {: .warning}
>
> This function matches against a regular expression. It does not expect an Elixir regex,
> but a escaped string and you can use the `~S` sigil for escaping it. Since each Explorer
> backend may have its own regular expression rules, you must consult their underlying
> engine. For the default backend (Polars), the rules are outlined in the Rust create named
> [`regex`](https://docs.rs/regex/latest/regex/).

## Examples

    iex> s = Explorer.Series.from_list(["abc", "def def", "bcd", nil])
    iex> Explorer.Series.re_scan(s, ~S/(b|d)/)
    #Explorer.Series<
      Polars[4]
      list[string] [["b"], ["d", "d"], ["b", "d"], nil]
    >

# `replace`

```elixir
@spec replace(t(), binary(), binary()) :: t()
```

Replaces all occurences of a substring with replacement in string series.

Both substring and replacement must be of type string.

> ### Notice {: .warning}
>
> This function replaces only literal strings. For regular expressions, see `re_replace/3`.

## Examples

    iex> series = Explorer.Series.from_list(["1,200", "1,234,567", "asdf", nil])
    iex> Explorer.Series.replace(series, ",", "")
    #Explorer.Series<
      Polars[4]
      string ["1200", "1234567", "asdf", nil]
    >

# `rstrip`

```elixir
@spec rstrip(t()) :: t()
```

Returns a string series where all trailing Unicode whitespaces have been removed.

## Examples

    iex> s = Explorer.Series.from_list(["  abc", "def  ", "  bcd"])
    iex> Explorer.Series.rstrip(s)
    #Explorer.Series<
      Polars[3]
      string ["  abc", "def", "  bcd"]
    >

# `rstrip`

```elixir
@spec rstrip(t(), String.t()) :: t()
```

Returns a string series where all trailing examples of the provided string
have been removed.

Where multiple characters are provided, all combinations of this set of characters will be stripped

## Examples

    iex> s = Explorer.Series.from_list(["__abc__", "def_", "__bcd_"])
    iex> Explorer.Series.rstrip(s, "_")
    #Explorer.Series<
      Polars[3]
      string ["__abc", "def", "__bcd"]
    >

    iex> s = Explorer.Series.from_list(["abc", "adefa", "bcdabaaa"])
    iex> Explorer.Series.rstrip(s, "ab")
    #Explorer.Series<
      Polars[3]
      string ["abc", "adef", "bcd"]
    >

# `split`

```elixir
@spec split(t(), String.t()) :: t()
```

Split the string by a substring.

## Examples

    iex> s = Series.from_list(["1", "1|2"])
    iex> Series.split(s, "|")
    #Explorer.Series<
      Polars[2]
      list[string] [["1"], ["1", "2"]]
    >

# `split_into`

```elixir
@spec split_into(t(), String.t(), [String.t() | atom()]) :: t()
```

Split a string Series into a struct of string `fields`.

The length of the field names list determines how many times the
string will be split at most. If the string cannot be split into that
many separate strings, null values will be provided for the
remaining fields.

## Examples

    iex> s = Series.from_list(["Smith, John", "Jones, Jane"])
    iex> Series.split_into(s, ", ", ["Last Name", "First Name"])
    #Explorer.Series<
      Polars[2]
      struct[2] [%{"First Name" => "John", "Last Name" => "Smith"}, %{"First Name" => "Jane", "Last Name" => "Jones"}]
    >

# `strip`

```elixir
@spec strip(t()) :: t()
```

Returns a string series where all leading and trailing Unicode whitespaces
have been removed.

## Examples

    iex> s = Explorer.Series.from_list(["  abc", "def  ", "  bcd   "])
    iex> Explorer.Series.strip(s)
    #Explorer.Series<
      Polars[3]
      string ["abc", "def", "bcd"]
    >

# `strip`

```elixir
@spec strip(t(), String.t()) :: t()
```

Returns a string series where all leading and trailing examples of the provided string
have been removed.

Where multiple characters are provided, all combinations of this set of characters will be stripped

## Examples

    iex> s = Explorer.Series.from_list(["£123", "1.00£", "£1.00£"])
    iex> Explorer.Series.strip(s, "£")
    #Explorer.Series<
      Polars[3]
      string ["123", "1.00", "1.00"]
    >

    iex> s = Explorer.Series.from_list(["abc", "adefa", "bcda"])
    iex> Explorer.Series.strip(s, "ab")
    #Explorer.Series<
      Polars[3]
      string ["c", "def", "cd"]
    >

# `substring`

```elixir
@spec substring(t(), integer()) :: t()
```

Returns a string sliced from the offset to the end of the string, supporting
negative indexing

## Examples

    iex> s = Explorer.Series.from_list(["earth", "mars", "neptune"])
    iex> Explorer.Series.substring(s, -3)
    #Explorer.Series<
      Polars[3]
      string ["rth", "ars", "une"]
    >

    iex> s = Explorer.Series.from_list(["earth", "mars", "neptune"])
    iex> Explorer.Series.substring(s, 1)
    #Explorer.Series<
      Polars[3]
      string ["arth", "ars", "eptune"]
    >

# `substring`

```elixir
@spec substring(t(), integer(), integer()) :: t()
```

Returns a string sliced from the offset to the length provided, supporting
negative indexing

## Examples

    iex> s = Explorer.Series.from_list(["earth", "mars", "neptune"])
    iex> Explorer.Series.substring(s, -3, 2)
    #Explorer.Series<
      Polars[3]
      string ["rt", "ar", "un"]
    >

    iex> s = Explorer.Series.from_list(["earth", "mars", "neptune"])
    iex> Explorer.Series.substring(s, 1, 5)
    #Explorer.Series<
      Polars[3]
      string ["arth", "ars", "eptun"]
    >

    iex> d = Explorer.Series.from_list(["こんにちは世界", "مرحبًا", "안녕하세요"])
    iex> Explorer.Series.substring(d, 1, 3)
    #Explorer.Series<
      Polars[3]
      string ["んにち", "رحب", "녕하세"]
    >

# `upcase`

```elixir
@spec upcase(t()) :: t()
```

Converts all characters to uppercase.

## Examples

    iex> s = Explorer.Series.from_list(["abc", "def", "bcd"])
    iex> Explorer.Series.upcase(s)
    #Explorer.Series<
      Polars[3]
      string ["ABC", "DEF", "BCD"]
    >

# `join`

```elixir
@spec join(t(), String.t()) :: t()
```

Join all string items in a sublist and place a separator between them.

## Examples

    iex> s = Series.from_list([["1"], ["1", "2"]])
    iex> Series.join(s, "|")
    #Explorer.Series<
      Polars[2]
      string ["1", "1|2"]
    >

# `lengths`

```elixir
@spec lengths(t()) :: t()
```

Calculates the length of each list in a list series.

## Examples

    iex> s = Series.from_list([[1], [1, 2]])
    iex> Series.lengths(s)
    #Explorer.Series<
      Polars[2]
      u32 [1, 2]
    >

# `member?`

```elixir
@spec member?(t(), Explorer.Backend.Series.valid_types()) :: t()
```

Checks for the presence of a value in a list series.

## Examples

    iex> s = Series.from_list([[1], [1, 2]])
    iex> Series.member?(s, 2)
    #Explorer.Series<
      Polars[2]
      boolean [false, true]
    >

# `field`

```elixir
@spec field(t(), String.t() | atom()) :: t()
```

Extracts a field from a struct series

The field can be an atom or string.

## Examples

    iex> s = Series.from_list([%{a: 1}, %{a: 2}])
    iex> Series.field(s, :a)
    #Explorer.Series<
      Polars[2]
      s64 [1, 2]
    >

    iex> s = Series.from_list([%{a: 1}, %{a: 2}])
    iex> Series.field(s, "a")
    #Explorer.Series<
      Polars[2]
      s64 [1, 2]
    >

# `categories`

```elixir
@spec categories(series :: t()) :: t()
```

Return a series with the category names of a categorical series.

Each category has the index equal to its position.
No order for the categories is guaranteed.

## Examples

    iex> s = Explorer.Series.from_list(["a", "b", "c", nil, "a", "c"], dtype: :category)
    iex> Explorer.Series.categories(s)
    #Explorer.Series<
      Polars[3]
      string ["a", "b", "c"]
    >

    iex> s = Explorer.Series.from_list(["c", "a", "b"], dtype: :category)
    iex> Explorer.Series.categories(s)
    #Explorer.Series<
      Polars[3]
      string ["c", "a", "b"]
    >

# `dtype`

```elixir
@spec dtype(series :: t()) :: dtype()
```

Returns the data type of the series.

See the moduledoc for all supported dtypes.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.dtype(s)
    {:s, 64}

    iex> s = Explorer.Series.from_list(["a", nil, "b", "c"])
    iex> Explorer.Series.dtype(s)
    :string

# `iotype`

```elixir
@spec iotype(series :: t()) :: {:s | :u | :f, non_neg_integer()} | :none
```

Returns the type of the underlying fixed-width binary representation.

It returns something in the shape of `{atom(), bits_size}` or `:none`.
It is often used in conjunction with `to_iovec/1` and `to_binary/1`.

The possible iotypes are:

* `:u` for unsigned integers.
* `:s` for signed integers.
* `:f` for floats.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3, 4])
    iex> Explorer.Series.iotype(s)
    {:s, 64}

    iex> s = Explorer.Series.from_list([~D[1999-12-31], ~D[1989-01-01]])
    iex> Explorer.Series.iotype(s)
    {:s, 32}

    iex> s = Explorer.Series.from_list([~T[00:00:00.000000], ~T[23:59:59.999999]])
    iex> Explorer.Series.iotype(s)
    {:s, 64}

    iex> s = Explorer.Series.from_list([1.2, 2.3, 3.5, 4.5])
    iex> Explorer.Series.iotype(s)
    {:f, 64}

    iex> s = Explorer.Series.from_list([true, false, true])
    iex> Explorer.Series.iotype(s)
    {:u, 8}

The operation returns `:none` for strings and binaries, as they do not
provide a fixed-width binary representation:

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.iotype(s)
    :none

However, if appropriate, you can convert them to categorical types,
which will then return the index of each category:

    iex> s = Explorer.Series.from_list(["a", "b", "c"], dtype: :category)
    iex> Explorer.Series.iotype(s)
    {:u, 32}

# `size`

```elixir
@spec size(series :: t()) :: non_neg_integer() | lazy_t()
```

Returns the number of elements in the series.

See also:

  * `count/1` - counts only the non-`nil` elements.
  * `nil_count/1` - counts all `nil` elements.

## Examples

Basic example:

    iex> s = Explorer.Series.from_list([~D[1999-12-31], ~D[1989-01-01]])
    iex> Explorer.Series.size(s)
    2

With lists:

    iex> s = Explorer.Series.from_list([[1, 2, 3], [4, 5]])
    iex> Explorer.Series.size(s)
    2

# `argsort`

Returns the indices that would sort the series.

The resultant series is going to have the `{:u, 32}` dtype.

## Options

  * `:direction` - `:asc` or `:desc`, meaning "ascending" or "descending", respectively.
    By default it sorts in ascending order.

  * `:nils` - `:first` or `:last`.
    By default it is `:last` if direction is `:asc`, and `:first` otherwise.

  * `:parallel` - boolean.
    Whether to parallelize the sorting.
    By default it is `true`.

  * `:stable` - boolean.
    Determines if the sorting is stable (ties are guaranteed to maintain their order) or not.
    Unstable sorting may be more performant.
    By default it is `false`.

## Examples

    iex> s = Explorer.Series.from_list([9, 3, 7, 1])
    iex> Explorer.Series.argsort(s)
    #Explorer.Series<
      Polars[4]
      u32 [3, 1, 2, 0]
    >

    iex> s = Explorer.Series.from_list([9, 3, 7, 1])
    iex> Explorer.Series.argsort(s, direction: :desc)
    #Explorer.Series<
      Polars[4]
      u32 [0, 2, 1, 3]
    >

# `at`

```elixir
@spec at(series :: t(), idx :: integer()) :: any()
```

Returns the value of the series at the given index.

This function will raise an error in case the index
is out of bounds.

## Examples

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.at(s, 2)
    "c"

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.at(s, 4)
    ** (ArgumentError) index 4 out of bounds for series of size 3

# `at_every`

```elixir
@spec at_every(series :: t(), every_n :: integer()) :: t()
```

Takes every *n*th value in this series, returned as a new series.

## Examples

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.at_every(s, 2)
    #Explorer.Series<
      Polars[5]
      s64 [1, 3, 5, 7, 9]
    >

If *n* is bigger than the size of the series, the result is a new series with only the first value of the supplied series.

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.at_every(s, 20)
    #Explorer.Series<
      Polars[1]
      s64 [1]
    >

# `concat`

```elixir
@spec concat([t()]) :: t()
```

Concatenate one or more series.

Type promotion may happen between numeric series or
null series. All other dtypes must match.

## Examples

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> s2 = Explorer.Series.from_list([4, 5, 6])
    iex> Explorer.Series.concat([s1, s2])
    #Explorer.Series<
      Polars[6]
      s64 [1, 2, 3, 4, 5, 6]
    >

    iex> s1 = Explorer.Series.from_list([1, 2, 3])
    iex> s2 = Explorer.Series.from_list([4.0, 5.0, 6.4])
    iex> Explorer.Series.concat([s1, s2])
    #Explorer.Series<
      Polars[6]
      f64 [1.0, 2.0, 3.0, 4.0, 5.0, 6.4]
    >

# `concat`

```elixir
@spec concat(s1 :: t(), s2 :: t()) :: t()
```

Concatenate two series.

`concat(s1, s2)` is equivalent to `concat([s1, s2])`.

# `distinct`

Returns the unique values of the series.

## Examples

    iex> s = [1, 1, 2, 2, 3, 3] |> Explorer.Series.from_list()
    iex> Explorer.Series.distinct(s)
    #Explorer.Series<
      Polars[3]
      s64 [1, 2, 3]
    >

# `first`

```elixir
@spec first(series :: t()) :: any()
```

Returns the first element of the series.

## Examples

    iex> s = 1..100 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.first(s)
    1

# `format`

```elixir
@spec format([t() | String.t()]) :: t()
```

Returns a string series with all values concatenated.

## Examples

    iex> s1 = Explorer.Series.from_list(["a", "b", "c"])
    iex> s2 = Explorer.Series.from_list(["d", "e", "f"])
    iex> s3 = Explorer.Series.from_list(["g", "h", "i"])
    iex> Explorer.Series.format([s1, s2, s3])
    #Explorer.Series<
      Polars[3]
      string ["adg", "beh", "cfi"]
    >

    iex> s1 = Explorer.Series.from_list(["a", "b", "c", "d"])
    iex> s2 = Explorer.Series.from_list([1, 2, 3, 4])
    iex> s3 = Explorer.Series.from_list([1.5, :nan, :infinity, :neg_infinity])
    iex> Explorer.Series.format([s1, "/", s2, "/", s3])
    #Explorer.Series<
      Polars[4]
      string ["a/1/1.5", "b/2/NaN", "c/3/inf", "d/4/-inf"]
    >

    iex> s1 = Explorer.Series.from_list([<<1>>, <<239, 191, 19>>], dtype: :binary)
    iex> s2 = Explorer.Series.from_list([<<3>>, <<4>>], dtype: :binary)
    iex> Explorer.Series.format([s1, s2])
    ** (RuntimeError) Polars Error: invalid utf8

# `head`

```elixir
@spec head(series :: t(), n_elements :: integer()) :: t()
```

Returns the first N elements of the series.

## Examples

    iex> s = 1..100 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.head(s)
    #Explorer.Series<
      Polars[10]
      s64 [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
    >

# `index_of`

```elixir
@spec index_of(series :: t(), value :: Explorer.Backend.Series.valid_types()) :: any()
```

Finds the index of the first value in a series.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.index_of(s, 2)
    1

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.index_of(s, 4)
    nil

This operation raises an `ArgumentError` when `value` is not compatible with the
series.

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.index_of(s, "a")
    ** (ArgumentError) unable to get index of value: "a" in series of type: {:s, 64}

It will cast `value` when it is an `Explorer.Duration` struct to the same precision as `series`
when it's dtype is a duration.

    iex> s = Explorer.Series.from_list([1, 2, 3], dtype: {:duration, :millisecond})
    iex> Explorer.Series.index_of(s, %Explorer.Duration{value: 1000, precision: :microsecond})
    0

# `last`

```elixir
@spec last(series :: t()) :: any()
```

Returns the last element of the series.

## Examples

    iex> s = 1..100 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.last(s)
    100

# `reverse`

Reverses the series order.

## Example

    iex> s = [1, 2, 3] |> Explorer.Series.from_list()
    iex> Explorer.Series.reverse(s)
    #Explorer.Series<
      Polars[3]
      s64 [3, 2, 1]
    >

# `sample`

```elixir
@spec sample(series :: t(), n_or_frac :: number(), opts :: Keyword.t()) :: t()
```

Returns a random sample of the series.

If given an integer as the second argument, it will return N samples. If given a float, it will
return that proportion of the series.

Can sample with or without replace.

## Options

  * `:replace` - If set to `true`, each sample will be independent and therefore values may repeat.
    Required to be `true` for `n` greater then the number of rows in the series or `frac` > 1.0. (default: `false`)
  * `:seed` - An integer to be used as a random seed. If nil, a random value between 0 and 2^64 − 1 will be used. (default: nil)
  * `:shuffle` - In case the sample is equal to the size of the series, shuffle tells if the resultant
    series should be shuffled or if it should return the same series. (default: `false`).

## Examples

    iex> s = 1..100 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.sample(s, 10, seed: 100)
    #Explorer.Series<
      Polars[10]
      s64 [80, 95, 78, 33, 84, 100, 23, 58, 21, 30]
    >

    iex> s = 1..100 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.sample(s, 0.05, seed: 100)
    #Explorer.Series<
      Polars[5]
      s64 [85, 89, 82, 35, 88]
    >

    iex> s = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.sample(s, 7, seed: 100, replace: true)
    #Explorer.Series<
      Polars[7]
      s64 [5, 5, 5, 2, 5, 2, 2]
    >

    iex> s = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.sample(s, 1.2, seed: 100, replace: true)
    #Explorer.Series<
      Polars[6]
      s64 [5, 5, 5, 2, 5, 2]
    >

    iex> s = 0..9 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.sample(s, 1.0, seed: 100, shuffle: false)
    #Explorer.Series<
      Polars[10]
      s64 [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
    >

    iex> s = 0..9 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.sample(s, 1.0, seed: 100, shuffle: true)
    #Explorer.Series<
      Polars[10]
      s64 [3, 7, 8, 0, 5, 1, 2, 6, 4, 9]
    >

# `shift`

```elixir
@spec shift(series :: t(), offset :: integer()) :: t()
```

Shifts `series` by `offset` with `nil` values.

Positive offset shifts from first, negative offset shifts from last.

## Examples

    iex> s = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.shift(s, 2)
    #Explorer.Series<
      Polars[5]
      s64 [nil, nil, 1, 2, 3]
    >

    iex> s = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.shift(s, -2)
    #Explorer.Series<
      Polars[5]
      s64 [3, 4, 5, nil, nil]
    >

# `shuffle`

```elixir
@spec shuffle(series :: t(), opts :: Keyword.t()) :: t()
```

Change the elements order randomly.

## Options

  * `:seed` - An integer to be used as a random seed. If nil,
    a random value between 0 and 2^64 − 1 will be used. (default: nil)

## Examples

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.shuffle(s, seed: 100)
    #Explorer.Series<
      Polars[10]
      s64 [4, 8, 9, 1, 6, 2, 3, 7, 5, 10]
    >

# `slice`

```elixir
@spec slice(series :: t(), indices :: [integer()] | Range.t() | t()) :: t()
```

Slices the elements at the given indices as a new series.

The indices may be either a list (or series) of indices or a range.
A list or series of indices does not support negative numbers.
Ranges may be negative on either end, which are then
normalized. Note ranges in Elixir are inclusive.

## Examples

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.slice(s, [0, 2])
    #Explorer.Series<
      Polars[2]
      string ["a", "c"]
    >

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.slice(s, 1..2)
    #Explorer.Series<
      Polars[2]
      string ["b", "c"]
    >

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.slice(s, -2..-1)
    #Explorer.Series<
      Polars[2]
      string ["b", "c"]
    >

    iex> s = Explorer.Series.from_list(["a", "b", "c"])
    iex> Explorer.Series.slice(s, 3..2//1)
    #Explorer.Series<
      Polars[0]
      string []
    >

# `slice`

```elixir
@spec slice(series :: t(), offset :: integer(), size :: integer()) :: t()
```

Returns a slice of the series, with `size` elements starting at `offset`.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3, 4, 5])
    iex> Explorer.Series.slice(s, 1, 2)
    #Explorer.Series<
      Polars[2]
      s64 [2, 3]
    >

Negative offsets count from the end of the series:

    iex> s = Explorer.Series.from_list([1, 2, 3, 4, 5])
    iex> Explorer.Series.slice(s, -3, 2)
    #Explorer.Series<
      Polars[2]
      s64 [3, 4]
    >

If the offset runs past the end of the series,
the series is empty:

    iex> s = Explorer.Series.from_list([1, 2, 3, 4, 5])
    iex> Explorer.Series.slice(s, 10, 3)
    #Explorer.Series<
      Polars[0]
      s64 []
    >

If the size runs past the end of the series,
the result may be shorter than the size:

    iex> s = Explorer.Series.from_list([1, 2, 3, 4, 5])
    iex> Explorer.Series.slice(s, -3, 4)
    #Explorer.Series<
      Polars[3]
      s64 [3, 4, 5]
    >

# `sort`

Sorts the series.

See `sort_by/3` for an expression-based sorting function.
See `sort_with/3` for a callback-based sorting function.

## Options

  * `:direction` - `:asc` or `:desc`, meaning "ascending" or "descending", respectively.
    By default it sorts in ascending order.

  * `:nils` - `:first` or `:last`.
    By default it is `:last` if direction is `:asc`, and `:first` otherwise.

  * `:parallel` - boolean.
    Whether to parallelize the sorting.
    By default it is `true`.

  * `:stable` - boolean.
    Determines if the sorting is stable (ties are guaranteed to maintain their order) or not.
    Unstable sorting may be more performant.
    By default it is `false`.

## Examples

    iex> s = Explorer.Series.from_list([9, 3, 7, 1])
    iex> Explorer.Series.sort(s)
    #Explorer.Series<
      Polars[4]
      s64 [1, 3, 7, 9]
    >

    iex> s = Explorer.Series.from_list([9, 3, 7, 1])
    iex> Explorer.Series.sort(s, direction: :desc)
    #Explorer.Series<
      Polars[4]
      s64 [9, 7, 3, 1]
    >

# `sort_by`
*macro* 

Sorts the series based on an expression.

> #### Notice {: .notice}
>
> This is a macro.
>
>   * You must `require Explorer.Series` before using it.
>   * You must use the special `_` syntax. See the moduledoc for details.

See `sort_with/3` for the callback-based version of this function.

## Options

  * `:direction` - `:asc` or `:desc`, meaning "ascending" or "descending", respectively.
    By default it sorts in ascending order.

  * `:nils` - `:first` or `:last`.
    By default it is `:last` if direction is `:asc`, and `:first` otherwise.

  * `:parallel` - boolean.
    Whether to parallelize the sorting.
    By default it is `true`.

    Parallel sort isn't available on certain lazy operations.
    In those situations this option is ignored.

  * `:stable` - boolean.
    Determines if the sorting is stable (ties are guaranteed to maintain their order) or not.
    Unstable sorting may be more performant.
    By default it is `false`.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.sort_by(s, remainder(_, 3))
    #Explorer.Series<
      Polars[3]
      s64 [3, 1, 2]
    >

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.sort_by(s, remainder(_, 3), direction: :desc)
    #Explorer.Series<
      Polars[3]
      s64 [2, 1, 3]
    >

    iex> s = Explorer.Series.from_list([1, nil, 2, 3])
    iex> Explorer.Series.sort_by(s, -2 * _, nils: :first)
    #Explorer.Series<
      Polars[4]
      s64 [nil, 3, 2, 1]
    >

# `sort_with`

Sorts the series based on a callback that returns a lazy series.

See `sort_by/3` for the expression-based version of this function.

## Options

  * `:direction` - `:asc` or `:desc`, meaning "ascending" or "descending", respectively.
    By default it sorts in ascending order.

  * `:nils` - `:first` or `:last`.
    By default it is `:last` if direction is `:asc`, and `:first` otherwise.

  * `:parallel` - boolean.
    Whether to parallelize the sorting.
    By default it is `true`.

    Parallel sort isn't available on certain lazy operations.
    In those situations this option is ignored.

  * `:stable` - boolean.
    Determines if the sorting is stable (ties are guaranteed to maintain their order) or not.
    Unstable sorting may be more performant.
    By default it is `false`.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.sort_with(s, &Explorer.Series.remainder(&1, 3))
    #Explorer.Series<
      Polars[3]
      s64 [3, 1, 2]
    >

    iex> s = Explorer.Series.from_list([1, 2, 3])
    iex> Explorer.Series.sort_with(s, &Explorer.Series.remainder(&1, 3), direction: :desc)
    #Explorer.Series<
      Polars[3]
      s64 [2, 1, 3]
    >

    iex> s = Explorer.Series.from_list([1, nil, 2, 3])
    iex> Explorer.Series.sort_with(s, &Explorer.Series.multiply(-2, &1), nils: :first)
    #Explorer.Series<
      Polars[4]
      s64 [nil, 3, 2, 1]
    >

# `tail`

```elixir
@spec tail(series :: t(), n_elements :: integer()) :: t()
```

Returns the last N elements of the series.

## Examples

    iex> s = 1..100 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.tail(s)
    #Explorer.Series<
      Polars[10]
      s64 [91, 92, 93, 94, 95, 96, 97, 98, 99, 100]
    >

# `unordered_distinct`

Returns the unique values of the series, but does not maintain order.

Faster than `distinct/1`.

## Examples

    iex> s = [1, 1, 2, 2, 3, 3] |> Explorer.Series.from_list()
    iex> Explorer.Series.unordered_distinct(s)

# `cumulative_count`

```elixir
@spec cumulative_count(series :: t(), opts :: Keyword.t()) :: t()
```

Calculates the cumulative count of the series.

Optionally, can count in reverse.

Does not count nil values. See `fill_missing/2`.

## Supported dtypes

Should support all types, as the accumulated value is not based on the series itself.

## Examples

    iex> s = ["alice", "bob", "carol", "dave"] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_count(s)
    #Explorer.Series<
      Polars[4]
      u32 [1, 2, 3, 4]
    >

    iex> s = ["alice", "bob", nil, "dave"] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_count(s)
    #Explorer.Series<
      Polars[4]
      u32 [1, 2, 2, 3]
    >

# `cumulative_max`

```elixir
@spec cumulative_max(series :: t(), opts :: Keyword.t()) :: t()
```

Calculates the cumulative maximum of the series.

Optionally, can accumulate in reverse.

Does not fill nil values. See `fill_missing/2`.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`

## Examples

    iex> s = [1, 2, 3, 4] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_max(s)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 3, 4]
    >

    iex> s = [1, 2, nil, 4] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_max(s)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, nil, 4]
    >

    iex> s = [~T[03:00:02.000000], ~T[02:04:19.000000], nil, ~T[13:24:56.000000]] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_max(s)
    #Explorer.Series<
      Polars[4]
      time [03:00:02.000000, 03:00:02.000000, nil, 13:24:56.000000]
    >

# `cumulative_min`

```elixir
@spec cumulative_min(series :: t(), opts :: Keyword.t()) :: t()
```

Calculates the cumulative minimum of the series.

Optionally, can accumulate in reverse.

Does not fill nil values. See `fill_missing/2`.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:date`
  * `:time`
  * `:datetime`
  * `:duration`

## Examples

    iex> s = [1, 2, 3, 4] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_min(s)
    #Explorer.Series<
      Polars[4]
      s64 [1, 1, 1, 1]
    >

    iex> s = [1, 2, nil, 4] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_min(s)
    #Explorer.Series<
      Polars[4]
      s64 [1, 1, nil, 1]
    >

    iex> s = [~T[03:00:02.000000], ~T[02:04:19.000000], nil, ~T[13:24:56.000000]] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_min(s)
    #Explorer.Series<
      Polars[4]
      time [03:00:02.000000, 02:04:19.000000, nil, 02:04:19.000000]
    >

# `cumulative_product`

```elixir
@spec cumulative_product(series :: t(), opts :: Keyword.t()) :: t()
```

Calculates the cumulative product of the series.

Optionally, can accumulate in reverse.

Does not fill nil values. See `fill_missing/2`.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`

## Examples

    iex> s = [1, 2, 3, 2] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_product(s)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 6, 12]
    >

    iex> s = [1, 2, nil, 4] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_product(s)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, nil, 8]
    >

# `cumulative_sum`

```elixir
@spec cumulative_sum(series :: t(), opts :: Keyword.t()) :: t()
```

Calculates the cumulative sum of the series.

Optionally, can accumulate in reverse.

Does not fill nil values. See `fill_missing/2`.

## Supported dtypes

  * floats: `{:f, 32}` and `{:f, 64}`
  * integers: `{:s, 8}`, `{:s, 16}`, `{:s, 32}`, `{:s, 64}`, `{:u, 8}`, `{:u, 16}`, `{:u, 32}` and `{:u, 64}`
  * `:boolean`

## Examples

    iex> s = [1, 2, 3, 4] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_sum(s)
    #Explorer.Series<
      Polars[4]
      s64 [1, 3, 6, 10]
    >

    iex> s = [1, 2, nil, 4] |> Explorer.Series.from_list()
    iex> Explorer.Series.cumulative_sum(s)
    #Explorer.Series<
      Polars[4]
      s64 [1, 3, nil, 7]
    >

# `ewm_mean`

Calculate the exponentially weighted moving average, given smoothing factor alpha.

## Options

  * `:alpha` - Optional smoothing factor which specifies the importance given
    to most recent observations. It is a value such that, 0 < alpha <= 1. Defaults to 0.5.

  * `:adjust` - If set to true, it corrects the bias introduced by smoothing process.
    Defaults to `true`.

  * `:min_periods` - The number of values in the window that should be non-nil
    before computing a result. Defaults to `1`.

  * `:ignore_nils` - If set to true, it ignore nulls in the calculation. Defaults to `true`.

## Examples

    iex> s = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.ewm_mean(s)
    #Explorer.Series<
      Polars[5]
      f64 [1.0, 1.6666666666666665, 2.4285714285714284, 3.2666666666666666, 4.161290322580645]
    >

    iex> s = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.ewm_mean(s, alpha: 0.1)
    #Explorer.Series<
      Polars[5]
      f64 [1.0, 1.526315789473684, 2.0701107011070112, 2.631288165164292, 3.209714048496984]
    >

# `ewm_standard_deviation`

Calculate the exponentially weighted moving standard deviation, given smoothing factor alpha.

## Options

  * `:alpha` - Optional smoothing factor which specifies the importance given
    to most recent observations. It is a value such that, 0 < alpha <= 1. Defaults to 0.5.

  * `:adjust` - If set to true, it corrects the bias introduced by smoothing process.
    Defaults to `true`.

  * `:bias` - If set to false, it corrects the estimate to be statistically unbiased.
    Defaults to `false`.

  * `:min_periods` - The number of values in the window that should be non-nil
    before computing a result. Defaults to `1`.

  * `:ignore_nils` - If set to true, it ignore nulls in the calculation. Defaults to `true`.

## Examples

    iex> s = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.ewm_standard_deviation(s)
    #Explorer.Series<
      Polars[5]
      f64 [0.0, 0.7071067811865476, 0.9636241116594315, 1.1771636613972953, 1.3452425132127066]
    >

    iex> s = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.ewm_standard_deviation(s, alpha: 0.1)
    #Explorer.Series<
      Polars[5]
      f64 [0.0, 0.7071067811865476, 0.999077064870281, 1.2879021599718157, 1.5741638698820741]
    >

# `ewm_variance`

Calculate the exponentially weighted moving variance, given smoothing factor alpha.

## Options

  * `:alpha` - Optional smoothing factor which specifies the importance given
    to most recent observations. It is a value such that, 0 < alpha <= 1. Defaults to 0.5.

  * `:adjust` - If set to true, it corrects the bias introduced by smoothing process.
    Defaults to `true`.

  * `:bias` - If set to false, it corrects the estimate to be statistically unbiased.
    Defaults to `false`.

  * `:min_periods` - The number of values in the window that should be non-nil
    before computing a result. Defaults to `1`.

  * `:ignore_nils` - If set to true, it ignore nulls in the calculation. Defaults to `true`.

## Examples

    iex> s = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.ewm_variance(s)
    #Explorer.Series<
      Polars[5]
      f64 [0.0, 0.5, 0.9285714285714286, 1.3857142857142861, 1.8096774193548393]
    >

    iex> s = 1..5 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.ewm_variance(s, alpha: 0.1)
    #Explorer.Series<
      Polars[5]
      f64 [0.0, 0.5000000000000001, 0.9981549815498157, 1.658691973660068, 2.477991889242108]
    >

# `fill_missing`

```elixir
@spec fill_missing(
  t(),
  :forward
  | :backward
  | :max
  | :min
  | :mean
  | :nan
  | :infinity
  | :neg_infinity
  | Explorer.Backend.Series.valid_types()
) :: t()
```

Fill missing values with the given strategy. If a scalar value is provided instead of a strategy
atom, `nil` will be replaced with that value. It must be of the same `dtype` as the series.

## Strategies

  * `:forward` - replace nil with the previous value
  * `:backward` - replace nil with the next value
  * `:max` - replace nil with the series maximum
  * `:min` - replace nil with the series minimum
  * `:mean` - replace nil with the series mean
  * `:nan` (float only) - replace nil with `NaN`

## Examples

    iex> s = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.fill_missing(s, :forward)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 2, 4]
    >

    iex> s = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.fill_missing(s, :backward)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 4, 4]
    >

    iex> s = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.fill_missing(s, :max)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 4, 4]
    >

    iex> s = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.fill_missing(s, :min)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 1, 4]
    >

    iex> s = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.fill_missing(s, :mean)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 2, 4]
    >

Values that belong to the series itself can also be added as missing:

    iex> s = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.fill_missing(s, 3)
    #Explorer.Series<
      Polars[4]
      s64 [1, 2, 3, 4]
    >

    iex> s = Explorer.Series.from_list(["a", "b", nil, "d"])
    iex> Explorer.Series.fill_missing(s, "c")
    #Explorer.Series<
      Polars[4]
      string ["a", "b", "c", "d"]
    >

Mismatched types will raise:

    iex> s = Explorer.Series.from_list([1, 2, nil, 4])
    iex> Explorer.Series.fill_missing(s, "foo")
    ** (ArgumentError) cannot invoke Explorer.Series.fill_missing/2 with mismatched dtypes: {:s, 64} and "foo"

Floats in particular accept missing values to be set to NaN, Inf, and -Inf:

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 4.0])
    iex> Explorer.Series.fill_missing(s, :nan)
    #Explorer.Series<
      Polars[4]
      f64 [1.0, 2.0, NaN, 4.0]
    >

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 4.0])
    iex> Explorer.Series.fill_missing(s, :infinity)
    #Explorer.Series<
      Polars[4]
      f64 [1.0, 2.0, Inf, 4.0]
    >

    iex> s = Explorer.Series.from_list([1.0, 2.0, nil, 4.0])
    iex> Explorer.Series.fill_missing(s, :neg_infinity)
    #Explorer.Series<
      Polars[4]
      f64 [1.0, 2.0, -Inf, 4.0]
    >

# `window_max`

Calculate the rolling max, given a window size and optional list of weights.

## Options

  * `:weights` - An optional list of weights with the same length as the window
    that will be multiplied elementwise with the values in the window. Defaults to `nil`.

  * `:min_periods` - The number of values in the window that should be non-nil
    before computing a result. If `nil`, it will be set equal to window size. Defaults to `1`.

  * `:center` - Set the labels at the center of the window. Defaults to `false`.

## Examples

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_max(s, 4)
    #Explorer.Series<
      Polars[10]
      s64 [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
    >

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_max(s, 2, weights: [1.0, 2.0])
    #Explorer.Series<
      Polars[10]
      f64 [2.0, 4.0, 6.0, 8.0, 10.0, 12.0, 14.0, 16.0, 18.0, 20.0]
    >

# `window_mean`

Calculate the rolling mean, given a window size and optional list of weights.

## Options

  * `:weights` - An optional list of weights with the same length as the window
    that will be multiplied elementwise with the values in the window. Defaults to `nil`.

  * `:min_periods` - The number of values in the window that should be non-nil
    before computing a result. If `nil`, it will be set equal to window size. Defaults to `1`.

  * `:center` - Set the labels at the center of the window. Defaults to `false`.

## Examples

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_mean(s, 4)
    #Explorer.Series<
      Polars[10]
      f64 [1.0, 1.5, 2.0, 2.5, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5]
    >

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_mean(s, 2, weights: [0.25, 0.75])
    #Explorer.Series<
      Polars[10]
      f64 [1.0, 1.75, 2.75, 3.75, 4.75, 5.75, 6.75, 7.75, 8.75, 9.75]
    >

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_mean(s, 2, weights: [0.25, 0.75], min_periods: nil)
    #Explorer.Series<
      Polars[10]
      f64 [nil, 1.75, 2.75, 3.75, 4.75, 5.75, 6.75, 7.75, 8.75, 9.75]
    >

# `window_median`

Calculate the rolling median, given a window size and optional list of weights.

## Options

  * `:weights` - An optional list of weights with the same length as the window
    that will be multiplied elementwise with the values in the window. Defaults to `nil`.

  * `:min_periods` - The number of values in the window that should be non-nil
    before computing a result. If `nil`, it will be set equal to window size. Defaults to `1`.

  * `:center` - Set the labels at the center of the window. Defaults to `false`.

## Examples

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_median(s, 4)
    #Explorer.Series<
      Polars[10]
      f64 [1.0, 1.5, 2.0, 2.5, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5]
    >

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_median(s, 2, weights: [0.25, 0.75])
    #Explorer.Series<
      Polars[10]
      f64 [1.5, 1.5, 2.5, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5]
    >

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_median(s, 2, weights: [0.25, 0.75], min_periods: nil)
    #Explorer.Series<
      Polars[10]
      f64 [nil, 1.5, 2.5, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5]
    >

# `window_min`

Calculate the rolling min, given a window size and optional list of weights.

## Options

  * `:weights` - An optional list of weights with the same length as the window
    that will be multiplied elementwise with the values in the window. Defaults to `nil`.

  * `:min_periods` - The number of values in the window that should be non-nil
    before computing a result. If `nil`, it will be set equal to window size. Defaults to `1`.

  * `:center` - Set the labels at the center of the window. Defaults to `false`.

## Examples

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_min(s, 4)
    #Explorer.Series<
      Polars[10]
      s64 [1, 1, 1, 1, 2, 3, 4, 5, 6, 7]
    >

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_min(s, 2, weights: [1.0, 2.0])
    #Explorer.Series<
      Polars[10]
      f64 [2.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0]
    >

# `window_standard_deviation`

Calculate the rolling standard deviation, given a window size and optional list of weights.

## Options

  * `:weights` - An optional list of weights with the same length as the window
    that will be multiplied elementwise with the values in the window. Defaults to `nil`.

  * `:min_periods` - The number of values in the window that should be non-nil
    before computing a result. If `nil`, it will be set equal to window size. Defaults to `1`.

  * `:center` - Set the labels at the center of the window. Defaults to `false`.

## Examples

    iex> s = Explorer.Series.from_list([1, 2, 3, 4, 1])
    iex> Explorer.Series.window_standard_deviation(s, 2)
    #Explorer.Series<
      Polars[5]
      f64 [nil, 0.7071067811865476, 0.7071067811865476, 0.7071067811865476, 2.1213203435596424]
    >

    iex> s = Explorer.Series.from_list([1, 2, 3, 4, 5, 6])
    iex> Explorer.Series.window_standard_deviation(s, 2, weights: [0.25, 0.75])
    #Explorer.Series<
      Polars[6]
      f64 [0.0, 0.4330127018922193, 0.4330127018922193, 0.4330127018922193, 0.4330127018922193, 0.4330127018922193]
    >

# `window_sum`

Calculate the rolling sum, given a window size and optional list of weights.

## Options

  * `:weights` - An optional list of weights with the same length as the window
    that will be multiplied elementwise with the values in the window. Defaults to `nil`.

  * `:min_periods` - The number of values in the window that should be non-nil
    before computing a result. If `nil`, it will be set equal to window size. Defaults to `1`.

  * `:center` - Set the labels at the center of the window. Defaults to `false`.

## Examples

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_sum(s, 4)
    #Explorer.Series<
      Polars[10]
      s64 [1, 3, 6, 10, 14, 18, 22, 26, 30, 34]
    >

    iex> s = 1..10 |> Enum.to_list() |> Explorer.Series.from_list()
    iex> Explorer.Series.window_sum(s, 2, weights: [1.0, 2.0])
    #Explorer.Series<
      Polars[10]
      f64 [2.0, 5.0, 8.0, 11.0, 14.0, 17.0, 20.0, 23.0, 26.0, 29.0]
    >

# `datetime_dtype`

```elixir
@type datetime_dtype() :: {:datetime, time_unit(), time_zone()}
```

# `decimal_dtype`

```elixir
@type decimal_dtype() :: {:decimal, pos_integer(), pos_integer()}
```

# `decimal_dtype_alias`

```elixir
@type decimal_dtype_alias() :: :decimal
```

# `dtype`

```elixir
@type dtype() ::
  :null
  | :binary
  | :boolean
  | :category
  | :date
  | :time
  | :string
  | datetime_dtype()
  | decimal_dtype()
  | duration_dtype()
  | float_dtype()
  | list_dtype()
  | naive_datetime_dtype()
  | signed_integer_dtype()
  | struct_dtype()
  | unsigned_integer_dtype()
```

# `dtype_alias`

```elixir
@type dtype_alias() ::
  integer_dtype_alias() | float_dtype_alias() | decimal_dtype_alias()
```

# `duration_dtype`

```elixir
@type duration_dtype() :: {:duration, time_unit()}
```

# `float_dtype`

```elixir
@type float_dtype() :: {:f, 32} | {:f, 64}
```

# `float_dtype_alias`

```elixir
@type float_dtype_alias() :: :float | :f32 | :f64
```

# `inferable_scalar`

```elixir
@type inferable_scalar() ::
  number()
  | non_finite()
  | boolean()
  | map()
  | String.t()
  | Date.t()
  | Time.t()
  | NaiveDateTime.t()
  | DateTime.t()
```

# `integer_dtype_alias`

```elixir
@type integer_dtype_alias() ::
  :integer | :u8 | :u16 | :u32 | :u64 | :s8 | :s16 | :s32 | :s64
```

# `lazy_t`

```elixir
@type lazy_t() :: %Explorer.Series{
  data: Explorer.Backend.LazySeries.t(),
  dtype: dtype(),
  name: term()
}
```

# `list_dtype`

```elixir
@type list_dtype() :: {:list, dtype()}
```

# `naive_datetime_dtype`

```elixir
@type naive_datetime_dtype() :: {:naive_datetime, time_unit()}
```

# `non_finite`

```elixir
@type non_finite() :: :nan | :infinity | :neg_infinity
```

# `signed_integer_dtype`

```elixir
@type signed_integer_dtype() :: {:s, 8} | {:s, 16} | {:s, 32} | {:s, 64}
```

# `struct_dtype`

```elixir
@type struct_dtype() :: {:struct, [{String.t(), dtype()}]}
```

# `t`

```elixir
@type t() :: %Explorer.Series{
  data: Explorer.Backend.Series.t(),
  dtype: dtype(),
  name: term()
}
```

# `time_unit`

```elixir
@type time_unit() :: :nanosecond | :microsecond | :millisecond
```

# `time_zone`

```elixir
@type time_zone() :: String.t()
```

# `unsigned_integer_dtype`

```elixir
@type unsigned_integer_dtype() :: {:u, 8} | {:u, 16} | {:u, 32} | {:u, 64}
```

---

*Consult [api-reference.md](api-reference.md) for complete listing*
