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# orddict (stdlib v8.0.2)

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Key-value dictionary as ordered list.

This module provides a `Key`-`Value` dictionary. An `orddict` is a representation of a dictionary, where a list of pairs is used to store the keys and values. The list is ordered after the keys in the Erlang term order.

This module provides the same interface as the `dict` module but with a defined representation. One difference is that while `dict` considers two keys as different if they do not match (`=:=`), this module considers two keys as different if and only if they do not compare equal (`==`).

### See Also

`dict`, `gb_trees`, `maps`

## Summary

### Types

orddict()
orddict(Key, Value)

Dictionary as returned by `new/0`.

### Functions

append(Key, Value, Orddict1)

Appends a new `Value` to the current list of values associated with `Key`.

append_list(Key, ValList, Orddict1)

Appends a list of values `ValList` to the current list of values associated with `Key`.

erase(Key, Orddict1)

Removes the item with key `Key` from dictionary `OrdDict1`.

fetch(Key, Orddict)

Returns the value associated with `Key` in dictionary `Orddict`.

fetch_keys(Orddict)

Returns a list of all keys in a dictionary.

filter(Pred, Orddict1)

Filters keys and values in `Orddict1` using predicate function `Pred`.

find(Key, Orddict)

Searches for a key in a dictionary.

fold(Fun, Acc0, Orddict)

Calls `Fun` on successive keys and values of `Orddict` together with an extra argument `Acc` (short for accumulator).

from_list(List)

Converts the `Key`-`Value` list `List` to a dictionary.

is_empty(Orddict)

Returns `true` if `Orddict` has no elements; otherwise, returns `false`.

is_key(Key, Orddict)

Returns `true` if `Key` is contained in dictionary `Orddict`; otherwise, returns `false`.

map(Fun, Orddict1)

Calls `Fun` on successive keys and values of `Orddict1` to return a new value for each key.

merge(Fun, Orddict1, Orddict2)

Merges two dictionaries, `Orddict1` and `Orddict2`, to create a new dictionary.

new()

Creates a new dictionary.

size(Orddict)

Returns the number of elements in an `Orddict`.

store(Key, Value, Orddict1)

Stores a `Key`-`Value` pair in a dictionary.

take(Key, Orddict)

This function returns a value from a dictionary and a new dictionary without this value.

to_list(Orddict)

Converts a dictionary to a list representation.

update(Key, Fun, Orddict1)

Updates a value in a dictionary by calling `Fun` on the value to get a new value.

update(Key, Fun, Initial, Orddict1)

Updates a value in a dictionary by calling `Fun` on the value to get a new value.

update_counter(Key, Increment, Orddict1)

Adds `Increment` to the value associated with `Key` and stores this value.

## Types

# orddict()

    -type orddict() :: orddict(_, _).

# orddict(Key, Value)

    -type orddict(Key, Value) :: [{Key, Value}].

Dictionary as returned by `new/0`.

## Functions

# append(Key, Value, Orddict1)

    -spec append(Key, Value, Orddict1) -> Orddict2
                    when Orddict1 :: orddict(Key, Value), Orddict2 :: orddict(Key, Value).

Appends a new `Value` to the current list of values associated with `Key`.

An exception is generated if the initial value associated with `Key` is not a list of values.

## Examples

    1> OrdDict1 = orddict:from_list([{x, []}]).
    [{x,[]}]
    2> OrdDict2 = orddict:append(x, 1, OrdDict1).
    [{x,[1]}]
    3> OrdDict3 = orddict:append(x, 2, OrdDict2).
    [{x,[1,2]}]
    4> orddict:append(y, 3, OrdDict3).
    [{x,[1,2]},{y,[3]}]

    1> OrdDict1 = orddict:from_list([{a, no_list}]).
    [{a,no_list}]
    2> orddict:append(a, 1, OrdDict1).
    ** exception error: bad argument
         in operator  ++/2
            called as no_list ++ [1]
         in call from orddict:append/3

# append_list(Key, ValList, Orddict1)

    -spec append_list(Key, ValList, Orddict1) -> Orddict2
                         when
                             ValList :: [Value],
                             Orddict1 :: orddict(Key, Value),
                             Orddict2 :: orddict(Key, Value).

Appends a list of values `ValList` to the current list of values associated with `Key`.

An exception is generated if the initial value associated with `Key` is not a list of values.

## Examples

    1> OrdDict1 = orddict:from_list([{x, []}]).
    [{x,[]}]
    2> OrdDict2 = orddict:append_list(x, [1,2], OrdDict1).
    [{x,[1,2]}]
    3> OrdDict3 = orddict:append_list(y, [3,4], OrdDict2).
    [{x,[1,2]},{y,[3,4]}]

# erase(Key, Orddict1)

    -spec erase(Key, Orddict1) -> Orddict2
                   when Orddict1 :: orddict(Key, Value), Orddict2 :: orddict(Key, Value).

Removes the item with key `Key` from dictionary `OrdDict1`.

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> orddict:erase(a, OrdDict1).
    [{b,2}]
    3> orddict:erase(z, OrdDict1).
    [{a,1},{b,2}]

# fetch(Key, Orddict)

    -spec fetch(Key, Orddict) -> Value when Orddict :: orddict(Key, Value).

Returns the value associated with `Key` in dictionary `Orddict`.

This function assumes that the `Key` is present in the dictionary. An exception is generated if `Key` is not in the dictionary.

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> orddict:fetch(a, OrdDict1).
    1
    3> orddict:fetch(missing, OrdDict1).
    ** exception error: no function clause matching orddict:fetch(missing,[])

# fetch_keys(Orddict)

    -spec fetch_keys(Orddict) -> Keys when Orddict :: orddict(Key, Value :: term()), Keys :: [Key].

Returns a list of all keys in a dictionary.

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> orddict:fetch_keys(OrdDict1).
    [a,b]

# filter(Pred, Orddict1)

    -spec filter(Pred, Orddict1) -> Orddict2
                    when
                        Pred :: fun((Key, Value) -> boolean()),
                        Orddict1 :: orddict(Key, Value),
                        Orddict2 :: orddict(Key, Value).

Filters keys and values in `Orddict1` using predicate function `Pred`.

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> orddict:filter(fun (K, V) -> V > 1 end, OrdDict1).
    [{b,2}]

# find(Key, Orddict)

    -spec find(Key, Orddict) -> {ok, Value} | error when Orddict :: orddict(Key, Value).

Searches for a key in a dictionary.

Returns `{ok, Value}`, where `Value` is the value associated with `Key`, or `error` if the key is not present in the dictionary.

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> orddict:find(a, OrdDict1).
    {ok,1}
    3> orddict:find(c, OrdDict1).
    error

# fold(Fun, Acc0, Orddict)

    -spec fold(Fun, Acc0, Orddict) -> Acc1
                  when
                      Fun :: fun((Key, Value, AccIn) -> AccOut),
                      Orddict :: orddict(Key, Value),
                      Acc0 :: Acc,
                      Acc1 :: Acc,
                      AccIn :: Acc,
                      AccOut :: Acc.

Calls `Fun` on successive keys and values of `Orddict` together with an extra argument `Acc` (short for accumulator).

`Fun` must return a new accumulator that is passed to the next call. `Acc0` is returned if the dictionary is empty.

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> orddict:fold(fun (K, V, Acc) -> [{K, V+100} | Acc] end, [], OrdDict1).
    [{b,102},{a,101}]

# from_list(List)

    -spec from_list(List) -> Orddict when List :: [{Key, Value}], Orddict :: orddict(Key, Value).

Converts the `Key`-`Value` list `List` to a dictionary.

## Examples

    1> OrdDict = orddict:from_list([{2,b},{1,a},{3,c}]).
    [{1,a},{2,b},{3,c}]

# is_empty(Orddict)

(since OTP 17.0)

    -spec is_empty(Orddict) -> boolean() when Orddict :: orddict().

Returns `true` if `Orddict` has no elements; otherwise, returns `false`.

## Examples

    1> orddict:is_empty(orddict:new()).
    true
    2> orddict:is_empty(orddict:from_list([{a,1}])).
    false

# is_key(Key, Orddict)

    -spec is_key(Key, Orddict) -> boolean() when Orddict :: orddict(Key, Value :: term()).

Returns `true` if `Key` is contained in dictionary `Orddict`; otherwise, returns `false`.

## Examples

    1> OrdDict = orddict:from_list([{1,a},{2,b},{3,c}]).
    [{1,a},{2,b},{3,c}]
    2> orddict:is_key(2, OrdDict).
    true
    3> orddict:is_key(aa, OrdDict).
    false

# map(Fun, Orddict1)

    -spec map(Fun, Orddict1) -> Orddict2
                 when
                     Fun :: fun((Key, Value1) -> Value2),
                     Orddict1 :: orddict(Key, Value1),
                     Orddict2 :: orddict(Key, Value2).

Calls `Fun` on successive keys and values of `Orddict1` to return a new value for each key.

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> orddict:map(fun (_K, V) -> V + 100 end, OrdDict1).
    [{a,101},{b,102}]

# merge(Fun, Orddict1, Orddict2)

    -spec merge(Fun, Orddict1, Orddict2) -> Orddict3
                   when
                       Fun :: fun((Key, Value1, Value2) -> Value),
                       Orddict1 :: orddict(Key, Value1),
                       Orddict2 :: orddict(Key, Value2),
                       Orddict3 :: orddict(Key, Value).

Merges two dictionaries, `Orddict1` and `Orddict2`, to create a new dictionary.

All the `Key`-`Value` pairs from both dictionaries are included in the new dictionary.

If a key occurs in both dictionaries, `Fun` is called with the key and both values to return a new value.

`merge/3` can be defined as follows, but is faster:

    merge(Fun, D1, D2) ->
        fold(fun (K, V1, D) ->
                     update(K, fun (V2) -> Fun(K, V1, V2) end, V1, D)
             end, D2, D1).

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> OrdDict2 = orddict:from_list([{b, 7}, {c, 8}]).
    [{b,7},{c,8}]
    3> orddict:merge(fun (K, V1, V2) -> V1 * V2 end, OrdDict1, OrdDict2).
    [{a,1},{b,14},{c,8}]

# new()

    -spec new() -> orddict(none(), none()).

Creates a new dictionary.

## Examples

    1> orddict:new().
    []

# size(Orddict)

    -spec size(Orddict) -> non_neg_integer() when Orddict :: orddict().

Returns the number of elements in an `Orddict`.

## Examples

    1> orddict:size(orddict:new()).
    0
    2> orddict:size(orddict:from_list([{a,1},{b,2},{c,3}])).
    3

# store(Key, Value, Orddict1)

    -spec store(Key, Value, Orddict1) -> Orddict2
                   when Orddict1 :: orddict(Key, Value), Orddict2 :: orddict(Key, Value).

Stores a `Key`-`Value` pair in a dictionary.

If the `Key` already exists in `Orddict1`, the associated value is replaced by `Value`.

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> orddict:store(a, 99, OrdDict1).
    [{a,99},{b,2}]
    3> orddict:store(c, 100, OrdDict1).
    [{a,1},{b,2},{c,100}]

# take(Key, Orddict)

(since OTP 20.0)

    -spec take(Key, Orddict) -> {Value, Orddict1} | error
                  when
                      Orddict :: orddict(Key, Value),
                      Orddict1 :: orddict(Key, Value),
                      Key :: term(),
                      Value :: term().

This function returns a value from a dictionary and a new dictionary without this value.

Returns `error` if the key is not present in the dictionary.

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> orddict:take(a, OrdDict1).
    {1,[{b,2}]}
    3> orddict:take(missing, OrdDict1).
    error

# to_list(Orddict)

    -spec to_list(Orddict) -> List when Orddict :: orddict(Key, Value), List :: [{Key, Value}].

Converts a dictionary to a list representation.

## Examples

    1> OrdDict = orddict:from_list([{2,b},{1,a}]).
    [{1,a},{2,b}]
    2> orddict:to_list(OrdDict).
    [{1,a},{2,b}]

# update(Key, Fun, Orddict1)

    -spec update(Key, Fun, Orddict1) -> Orddict2
                    when
                        Fun :: fun((Value1 :: Value) -> Value2 :: Value),
                        Orddict1 :: orddict(Key, Value),
                        Orddict2 :: orddict(Key, Value).

Updates a value in a dictionary by calling `Fun` on the value to get a new value.

An exception is generated if `Key` is not present in the dictionary.

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> orddict:update(a, fun (V) -> V + 100 end, OrdDict1).
    [{a,101},{b,2}]

# update(Key, Fun, Initial, Orddict1)

    -spec update(Key, Fun, Initial, Orddict1) -> Orddict2
                    when
                        Initial :: Value,
                        Fun :: fun((Value1 :: Value) -> Value2 :: Value),
                        Orddict1 :: orddict(Key, Value),
                        Orddict2 :: orddict(Key, Value).

Updates a value in a dictionary by calling `Fun` on the value to get a new value.

If `Key` is not present in the dictionary, `Initial` is stored as the first value.

For example, `append/3` can be defined as follows:

    append(Key, Val, D) ->
        update(Key, fun (Old) -> Old ++ [Val] end, [Val], D).

## Examples

    1> OrdDict1 = orddict:from_list([{a, 1}, {b, 2}]).
    [{a,1},{b,2}]
    2> OrdDict2 = orddict:update(c, fun (V) -> V + 100 end, 99, OrdDict1).
    [{a,1},{b,2},{c,99}]
    3> orddict:update(a, fun (V) -> V + 100 end, 99, OrdDict2).
    [{a,101},{b,2},{c,99}]

# update_counter(Key, Increment, Orddict1)

    -spec update_counter(Key, Increment, Orddict1) -> Orddict2
                            when
                                Orddict1 :: orddict(Key, Value),
                                Orddict2 :: orddict(Key, Value),
                                Increment :: number().

Adds `Increment` to the value associated with `Key` and stores this value.

If `Key` is not present in the dictionary, `Increment` is stored as the first value.

## Examples

    1> OrdDict1 = orddict:from_list([{a,0},{b,0}]).
    [{a,0},{b,0}]
    2> OrdDict2 = orddict:update_counter(a, 1, OrdDict1).
    [{a,1},{b,0}]
    3> OrdDict3 = orddict:update_counter(b, 2, OrdDict2).
    [{a,1},{b,2}]
    4> orddict:update_counter(z, 7, OrdDict3).
    [{a,1},{b,2},{z,7}]