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lib/localize/collation.ex

defmodule Localize.Collation do
@moduledoc """
Implements the Unicode Collation Algorithm (UCA) as extended by CLDR.
Collation is the general term for the process and function of
determining the sorting order of strings of characters, for example for
lists of strings presented to users, or in databases for sorting and selecting
records.
Collation varies by language, by application (some languages use special
phonebook sorting), and other criteria (for example, phonetic vs. visual).
CLDR provides collation data for many languages and styles. The data
supports not only sorting but also language-sensitive searching and grouping
under index headers. All CLDR collations are based on the [UCA] default order,
with common modifications applied in the CLDR root collation, and further
tailored for language and style as needed.
## Basic Usage
# Compare two strings
iex> Localize.Collation.compare("café", "cafe")
:gt
# Sort a list of strings
iex> Localize.Collation.sort(["café", "cafe", "Cafe"])
["cafe", "Cafe", "café"]
# Generate a sort key
iex> key = Localize.Collation.sort_key("hello")
iex> is_binary(key)
true
# With options
iex> Localize.Collation.compare("a", "A", strength: :secondary)
:eq
# From BCP47 locale (ks-level2 = secondary strength, ignores case)
iex> Localize.Collation.compare("a", "A", locale: "en-u-ks-level2")
:eq
## Collation Options
All BCP47 -u- extension collation keys are supported:
* `strength` - `:primary`, `:secondary`, `:tertiary` (default), `:quaternary`, `:identical`.
* `alternate` - `:non_ignorable` (default), `:shifted`.
* `backwards` - `false` (default), `true` - reverse secondary weights (French).
* `normalization` - `false` (default), `true` - NFD normalize input.
* `case_level` - `false` (default), `true` - insert case-only level.
* `case_first` - `false` (default), `:upper`, `:lower`.
* `numeric` - `false` (default), `true` - numeric string comparison.
* `reorder` - `[]` (default), list of script code atoms.
* `max_variable` - `:punct` (default), `:space`, `:symbol`, `:currency`.
* `ignore_accents` - `true` to ignore accent differences (sets strength to primary).
* `ignore_case` - `true` to ignore case differences (sets strength to secondary).
* `ignore_punctuation` - `true` to ignore punctuation and whitespace (sets alternate to shifted).
* `casing` - `:sensitive`, `:insensitive` (convenience alias).
* `backend` - `:nif` or `:elixir`. The default is `:elixir`.
"""
alias Localize.Collation.{
FastLatin,
Han,
ImplicitWeights,
Nif,
Normalizer,
Options,
Reorder,
SortKey,
Table,
Variable
}
@doc """
Compare two strings using the CLDR collation algorithm.
### Arguments
* `string_a` - the first string to compare.
* `string_b` - the second string to compare.
* `options` - a keyword list of collation options.
### Options
* `:strength` - comparison level: `:primary`, `:secondary`, `:tertiary` (default),
`:quaternary`, or `:identical`.
* `:alternate` - variable weight handling: `:non_ignorable` (default) or `:shifted`.
* `:backwards` - reverse secondary weights for French sorting: `false` (default) or `true`.
* `:normalization` - NFD normalize input: `false` (default) or `true`.
* `:case_level` - insert case-only comparison level: `false` (default) or `true`.
* `:case_first` - case ordering: `false` (default), `:upper`, or `:lower`.
* `:numeric` - numeric string comparison: `false` (default) or `true`.
* `:reorder` - list of script code atoms to reorder: `[]` (default).
* `:max_variable` - variable weight boundary: `:punct` (default), `:space`,
`:symbol`, or `:currency`.
* `:ignore_accents` - `true` to ignore accent differences.
* `:ignore_case` - `true` to ignore case differences.
* `:ignore_punctuation` - `true` to ignore punctuation and whitespace.
* `:casing` - `:sensitive` or `:insensitive`.
* `:locale` - a BCP47 locale string or a `Localize.LanguageTag` struct.
* `:backend` - `:nif` or `:elixir`. The default is `:elixir`.
### Returns
* `:lt` - if `string_a` sorts before `string_b`.
* `:eq` - if `string_a` and `string_b` are equal at the given strength.
* `:gt` - if `string_a` sorts after `string_b`.
### Examples
iex> Localize.Collation.compare("cafe", "café")
:lt
iex> Localize.Collation.compare("a", "A", strength: :secondary)
:eq
iex> Localize.Collation.compare("a", "A", casing: :insensitive)
:eq
"""
@spec compare(String.t(), String.t(), keyword() | Options.t()) :: :lt | :eq | :gt
def compare(string_a, string_b, options \\ []) do
options = resolve_options(options)
if use_nif?(options) do
Nif.nif_compare(string_a, string_b, options)
else
key_a = sort_key(string_a, options)
key_b = sort_key(string_b, options)
cond do
key_a < key_b -> :lt
key_a > key_b -> :gt
true -> :eq
end
end
end
@doc """
Generate a binary sort key for the given input.
Sort keys can be compared directly with `<`, `>`, `==` for ordering.
This is efficient when the same strings need to be compared multiple times.
### Arguments
* `input` - a UTF-8 string or a list of integer codepoints.
* `options` - a keyword list of collation options, or a `t:Localize.Collation.Options.t/0` struct.
### Returns
A binary sort key that can be compared with standard binary comparison operators.
### Examples
iex> key_a = Localize.Collation.sort_key("cafe")
iex> key_b = Localize.Collation.sort_key("café")
iex> key_a < key_b
true
iex> Localize.Collation.sort_key("hello") == Localize.Collation.sort_key("hello")
true
"""
@spec sort_key(String.t() | [non_neg_integer()], keyword() | Options.t()) :: binary()
def sort_key(input, options \\ [])
def sort_key(input, options) when is_list(options) do
sort_key(input, resolve_options(options))
end
def sort_key(string, %Options{} = options) when is_binary(string) do
ensure_loaded()
codepoints = Normalizer.normalize_to_codepoints(string, options.normalization)
build_sort_key(codepoints, options, string)
end
def sort_key(codepoints, %Options{} = options) when is_list(codepoints) do
ensure_loaded()
codepoints =
if options.normalization do
codepoints
|> List.to_string()
|> Normalizer.normalize_to_codepoints(true)
else
codepoints
end
build_sort_key(codepoints, options, nil)
end
defp build_sort_key(codepoints, options, original_string) do
elements = produce_collation_elements(codepoints, options)
max_var_primary = Options.max_variable_primary(options)
processed = Variable.process(elements, options.alternate, max_var_primary)
processed =
case Reorder.build_mapping(options.reorder) do
nil ->
processed
mapping_fn ->
Enum.map(processed, fn {{p, s, t, v}, q} ->
{{mapping_fn.(p), s, t, v}, q}
end)
end
SortKey.build(processed, options, original_string)
end
@doc """
Sort a list of strings using the CLDR collation algorithm.
### Arguments
* `strings` - a list of UTF-8 strings to sort.
* `options` - a keyword list of collation options.
### Returns
A new list of strings sorted according to the CLDR collation rules.
### Examples
iex> Localize.Collation.sort(["café", "cafe", "Cafe"])
["cafe", "Cafe", "café"]
iex> Localize.Collation.sort(["б", "а", "в"])
["а", "б", "в"]
"""
@spec sort([String.t()], keyword() | Options.t()) :: [String.t()]
def sort(strings, options \\ []) do
options = resolve_options(options)
if use_nif?(options) do
Enum.sort(strings, fn a, b ->
Nif.nif_compare(a, b, options) in [:lt, :eq]
end)
else
strings
|> Enum.map(fn s -> {sort_key(s, options), s} end)
|> Enum.sort_by(fn {key, _s} -> key end)
|> Enum.map(fn {_key, s} -> s end)
end
end
@doc """
Ensure the collation tables are loaded into persistent term storage.
### Returns
* `:ok` - tables are loaded and ready.
### Examples
iex> Localize.Collation.ensure_loaded()
:ok
"""
@spec ensure_loaded() :: :ok
def ensure_loaded do
Table.ensure_loaded()
end
# Internal: produce collation elements from codepoints
defp produce_collation_elements(codepoints, options) do
if options.numeric do
produce_with_numeric(codepoints, options)
else
produce_standard(
codepoints,
options.tailoring,
options.suppress_contractions,
options.han_ordering
)
end
end
defp produce_standard(codepoints, overlay, suppress, han_ordering) do
do_produce(codepoints, [], overlay, suppress, han_ordering)
end
defp do_produce([], acc, _overlay, _suppress, _han_ordering),
do: Enum.reverse(acc) |> List.flatten()
# FastLatin shortcut: only when there is no tailoring overlay,
# since overlays may remap characters in the Latin range.
defp do_produce([cp | rest], acc, nil, suppress, han_ordering) when cp < 0x0180 do
case FastLatin.lookup(cp) do
nil ->
do_produce_full([cp | rest], acc, nil, suppress, han_ordering)
elements ->
do_produce(rest, [elements | acc], nil, suppress, han_ordering)
end
end
defp do_produce(codepoints, acc, overlay, suppress, han_ordering) do
do_produce_full(codepoints, acc, overlay, suppress, han_ordering)
end
defp do_produce_full([cp | rest] = codepoints, acc, overlay, suppress, han_ordering) do
# When a codepoint is in the suppress list, skip contraction
# lookup and look up only the single codepoint.
if suppress != [] and cp in suppress do
case Table.lookup(cp) do
{:ok, elements} ->
do_produce(rest, [elements | acc], overlay, suppress, han_ordering)
:unmapped ->
elements = resolve_unmapped(cp, han_ordering)
do_produce(rest, [elements | acc], overlay, suppress, han_ordering)
end
else
case Table.longest_match_with_overlay(codepoints, overlay) do
{matched, elements, remaining} when is_list(elements) ->
{final_elements, final_remaining} =
try_discontiguous_match(matched, elements, remaining)
do_produce(final_remaining, [final_elements | acc], overlay, suppress, han_ordering)
{:unmapped, cp, remaining} ->
elements = resolve_unmapped(cp, han_ordering)
{final_elements, final_remaining} =
try_discontiguous_match([cp], elements, remaining)
do_produce(final_remaining, [final_elements | acc], overlay, suppress, han_ordering)
:done ->
Enum.reverse(acc) |> List.flatten()
end
end
end
defp try_discontiguous_match(matched_cps, elements, remaining) do
case remaining do
[] ->
{elements, remaining}
_ ->
{combiners, rest} = collect_combining(remaining, [])
if combiners == [] do
{elements, remaining}
else
{new_elements, _consumed, unconsumed} =
extend_with_combiners(matched_cps, elements, combiners)
new_remaining = unconsumed ++ rest
{new_elements, new_remaining}
end
end
end
defp collect_combining([cp | rest], acc) do
ccc = combining_class(cp)
if ccc > 0 do
collect_combining(rest, [{cp, ccc} | acc])
else
{Enum.reverse(acc), [cp | rest]}
end
end
defp collect_combining([], acc), do: {Enum.reverse(acc), []}
defp extend_with_combiners(base_cps, base_elements, combiners) do
{final_elements, consumed_set, _last_ccc, _current_base} =
Enum.reduce(combiners, {base_elements, MapSet.new(), 0, base_cps}, fn
{cp, ccc}, {elems, consumed, last_ccc, current_base} ->
if ccc > 0 and (last_ccc == 0 or ccc > last_ccc) do
candidate = current_base ++ [cp]
case Table.lookup(candidate) do
{:ok, new_elements} ->
{new_elements, MapSet.put(consumed, cp), ccc, candidate}
:unmapped ->
{elems, consumed, ccc, current_base}
end
else
{elems, consumed, last_ccc, current_base}
end
end)
unconsumed =
Enum.reject(combiners, fn {cp, _ccc} -> MapSet.member?(consumed_set, cp) end)
|> Enum.map(fn {cp, _ccc} -> cp end)
{final_elements, consumed_set, unconsumed}
end
defp combining_class(cp) do
Localize.Collation.Unicode.combining_class(cp)
end
defp produce_with_numeric(codepoints, options) do
pairs = collect_ce_pairs(codepoints, [], options.han_ordering)
Localize.Collation.Numeric.process_elements(pairs)
end
defp collect_ce_pairs([], acc, _han_ordering), do: Enum.reverse(acc)
defp collect_ce_pairs(codepoints, acc, han_ordering) do
case Table.longest_match(codepoints) do
{matched, elements, remaining} when is_list(elements) ->
collect_ce_pairs(remaining, [{matched, elements} | acc], han_ordering)
{:unmapped, cp, remaining} ->
elements = resolve_unmapped(cp, han_ordering)
collect_ce_pairs(remaining, [{[cp], elements} | acc], han_ordering)
:done ->
Enum.reverse(acc)
end
end
defp resolve_unmapped(cp, han_ordering) do
# For CJK Unified Ideographs, use radical-stroke ordering (UAX #38)
# when the locale has requested it via the `:han_ordering` option
# (set for the `-u-co-unihan` collation type). All other locales —
# including root — use UCA implicit weights, matching the CLDR
# root collation and the conformance test data.
if han_ordering == :radical_stroke and ImplicitWeights.unified_ideograph?(cp) do
case Han.collation_elements(cp) do
nil -> ImplicitWeights.compute(cp)
elements -> elements
end
else
case ImplicitWeights.compute(cp) do
{:hangul_decompose, jamo} ->
Enum.flat_map(jamo, fn j ->
case Table.lookup(j) do
{:ok, elements} -> elements
:unmapped -> ImplicitWeights.compute(j)
end
end)
elements when is_list(elements) ->
elements
end
end
end
defp resolve_options(options) when is_list(options) do
case Keyword.get(options, :locale) do
nil ->
# Default to the current process locale so that collation
# respects `Localize.put_locale/1` the same way every other
# formatting module does.
options_from_language_tag(Localize.get_locale(), options)
locale when is_binary(locale) ->
rest = Keyword.delete(options, :locale)
options_from_locale_string(locale, rest)
%Localize.LanguageTag{} = tag ->
rest = Keyword.delete(options, :locale)
options_from_language_tag(tag, rest)
locale when is_atom(locale) ->
rest = Keyword.delete(options, :locale)
options_from_locale_string(Atom.to_string(locale), rest)
_locale ->
Options.new(Keyword.delete(options, :locale))
end
end
defp resolve_options(%Options{} = options), do: options
defp options_from_locale_string(locale, extra_options) do
# Validate the locale to get a fully canonicalized LanguageTag
# with the U extension parsed into a LanguageTag.U struct.
case Localize.validate_locale(locale) do
{:ok, tag} ->
options_from_language_tag(tag, extra_options)
_ ->
# Fallback to built-in BCP47 parser
Options.from_locale(locale) |> struct(extra_options)
end
end
defp options_from_language_tag(%Localize.LanguageTag{} = tag, extra_options) do
alias Localize.Collation.Tailoring
alias Localize.Collation.Tailoring.LocaleDefaults
language = tag_language(tag)
locale_defaults = LocaleDefaults.options_for(language)
# Extract U extension options from the tag
u = tag.locale
u_options = extract_u_options(u)
# Determine collation type
type =
Keyword.get(u_options, :type) ||
Keyword.get(extra_options, :type) ||
LocaleDefaults.default_type(language)
{tailoring_overlay, tailoring_option_overrides} =
case Tailoring.get_tailoring(language, type) do
{overlay, overrides} -> {overlay, overrides}
nil -> {nil, []}
end
# When a tailoring overlay is present, normalization must be
# enabled so input is decomposed to NFD — the form used for
# overlay keys.
normalization =
if tailoring_overlay != nil, do: [normalization: true], else: []
# Resolve shorthand options (`casing:`, `ignore_accents:`,
# `ignore_case:`, `ignore_punctuation:`) into their canonical
# struct fields (`:strength`, `:alternate`, etc.) by running
# them through `Options.new/1`. Then extract only the fields
# that differ from the defaults so we don't overwrite locale,
# U-extension, or tailoring-derived values.
defaults = Options.new()
resolved_extra = Options.new(extra_options)
extra_overrides =
resolved_extra
|> Map.from_struct()
|> Enum.reject(fn {key, value} -> Map.get(defaults, key) == value end)
Options.new()
|> struct(tailoring_option_overrides)
|> struct(locale_defaults)
|> struct(normalization)
|> struct(u_options)
|> struct(extra_overrides)
|> Map.put(:type, type)
|> Map.put(:tailoring, tailoring_overlay)
|> Map.put(:han_ordering, han_ordering_for(type))
end
# Radical-stroke ordering for Han characters applies only when the
# collation type specifically requests it. CLDR's root collation and
# all other tailored locales use UCA implicit weights (codepoint
# order) for Han, matching the reference behaviour.
defp han_ordering_for(:unihan), do: :radical_stroke
defp han_ordering_for(_type), do: :implicit
defp tag_language(%Localize.LanguageTag{} = tag) do
cond do
is_atom(tag.language) and not is_nil(tag.language) ->
Atom.to_string(tag.language)
is_binary(tag.language) ->
tag.language
true ->
"und"
end
end
defp extract_u_options(nil), do: []
defp extract_u_options(%Localize.LanguageTag.U{} = u) do
[]
|> maybe_put(:type, u.co)
|> maybe_put(:strength, u.ks)
|> maybe_put(:alternate, u.ka)
|> maybe_put(:backwards, u_bool_value(u.kb))
|> maybe_put(:normalization, u_bool_value(u.kk))
|> maybe_put(:case_level, u_bool_value(u.kc))
|> maybe_put(:case_first, u.kf)
|> maybe_put(:numeric, u_bool_value(u.kn))
|> maybe_put(:reorder, u.kr)
|> maybe_put(:max_variable, u.kv)
end
defp extract_u_options(_), do: []
defp u_bool_value(:yes), do: true
defp u_bool_value(:no), do: false
defp u_bool_value(_), do: nil
defp maybe_put(opts, _key, nil), do: opts
defp maybe_put(opts, key, value), do: Keyword.put(opts, key, value)
defp use_nif?(%Options{backend: :nif} = options) do
Nif.available?() and Options.nif_compatible?(options)
end
defp use_nif?(_options), do: false
end