Cldr.Number (Cldr Numbers v2.19.0) View Source

Formats numbers and currencies based upon CLDR's decimal formats specification.

The format specification is documentated in Unicode TR35. There are several classes of formatting including non-scientific, scientific, rules based (for spelling and ordinal formats), compact formats that display `1k` rather than `1,000` and so on. See `Cldr.Number.to_string/2` for specific formatting options.

Non-Scientific Notation Formatting

The following description applies to formats that do not use scientific notation or significant digits:

• If the number of actual integer digits exceeds the maximum integer digits, then only the least significant digits are shown. For example, 1997 is formatted as "97" if the maximum integer digits is set to 2.

• If the number of actual integer digits is less than the minimum integer digits, then leading zeros are added. For example, 1997 is formatted as "01997" if the minimum integer digits is set to 5.

• If the number of actual fraction digits exceeds the maximum fraction digits, then half-even rounding it performed to the maximum fraction digits. For example, 0.125 is formatted as "0.12" if the maximum fraction digits is 2. This behavior can be changed by specifying a rounding increment and a rounding mode.

• If the number of actual fraction digits is less than the minimum fraction digits, then trailing zeros are added. For example, 0.125 is formatted as "0.1250" if the minimum fraction digits is set to 4.

• Trailing fractional zeros are not displayed if they occur j positions after the decimal, where j is less than the maximum fraction digits. For example, 0.10004 is formatted as "0.1" if the maximum fraction digits is four or less.

Scientific Notation Formatting

Numbers in scientific notation are expressed as the product of a mantissa and a power of ten, for example, 1234 can be expressed as 1.234 x 10^3. The mantissa is typically in the half-open interval [1.0, 10.0) or sometimes [0.0, 1.0), but it need not be. In a pattern, the exponent character immediately followed by one or more digit characters indicates scientific notation. Example: "0.###E0" formats the number 1234 as "1.234E3".

• The number of digit characters after the exponent character gives the minimum exponent digit count. There is no maximum. Negative exponents are formatted using the localized minus sign, not the prefix and suffix from the pattern. This allows patterns such as "0.###E0 m/s". To prefix positive exponents with a localized plus sign, specify '+' between the exponent and the digits: "0.###E+0" will produce formats "1E+1", "1E+0", "1E-1", and so on. (In localized patterns, use the localized plus sign rather than '+'.)

• The minimum number of integer digits is achieved by adjusting the exponent. Example: 0.00123 formatted with "00.###E0" yields "12.3E-4". This only happens if there is no maximum number of integer digits. If there is a maximum, then the minimum number of integer digits is fixed at one.

• The maximum number of integer digits, if present, specifies the exponent grouping. The most common use of this is to generate engineering notation, in which the exponent is a multiple of three, for example, "##0.###E0". The number 12345 is formatted using "##0.####E0" as "12.345E3".

• When using scientific notation, the formatter controls the digit counts using significant digits logic. The maximum number of significant digits limits the total number of integer and fraction digits that will be shown in the mantissa; it does not affect parsing. For example, 12345 formatted with "##0.##E0" is "12.3E3". Exponential patterns may not contain grouping separators.

Significant Digits

There are two ways of controlling how many digits are shows: (a) significant digits counts, or (b) integer and fraction digit counts. Integer and fraction digit counts are described above. When a formatter is using significant digits counts, it uses however many integer and fraction digits are required to display the specified number of significant digits. It may ignore min/max integer/fraction digits, or it may use them to the extent possible.

Functions

Return the precision (number of digits) of a number

Formats a number and applies the `:approximately` format for a locale and number system.

Formats a number and applies the `:at_least` format for a locale and number system.

Formats a number and applies the `:at_most` format for a locale and number system.

Converts a number from the latin digits `0..9` into another number system. Returns `{:ok, string}` or `{:error, reason}`.

Converts a number from the latin digits `0..9` into another number system. Returns the converted number or raises an exception on error.

Formats the first and last numbers of a range and applies the `:range` format for a locale and number system.

Returns a number formatted into a string according to a format pattern and options.

Same as the execution of `to_string/2` but raises an exception if an error would be returned.

Return a valid number system from a provided locale and number system name or type.

format_type()

View Source

Specs

```format_type() ::
:standard
| :decimal_short
| :decimal_long
| :currency_short
| :currency_long
| :percent
| :accounting
| :scientific
| :currency```

precision(number)

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Return the precision (number of digits) of a number

This function delegates to `Cldr.Digits.number_of_digits/1`

Example

``````iex> Cldr.Number.precision 1.234
4``````

to_approx_string(number, backend \\ default_backend(), options \\ [])

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Specs

```to_approx_string(number() | Decimal.t(), Cldr.backend(), Keyword.t() | map()) ::
{:ok, String.t()} | {:error, {module(), String.t()}}```

Formats a number and applies the `:approximately` format for a locale and number system.

Arguments

• `number` is an integer, float or Decimal to be formatted

• `backend` is any `Cldr` backend. That is, any module that contains `use Cldr`

• `options` is a keyword list defining how the number is to be formatted. See `Cldr.Number.to_string/3` for a description of the available options.

Example

``````iex> Cldr.Number.to_approx_string 1234, TestBackend.Cldr
{:ok, "~1,234"}``````

to_at_least_string(number, backend \\ default_backend(), options \\ [])

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Specs

```to_at_least_string(number() | Decimal.t(), Cldr.backend(), Keyword.t() | map()) ::
{:ok, String.t()} | {:error, {module(), String.t()}}```

Formats a number and applies the `:at_least` format for a locale and number system.

Arguments

• `number` is an integer, float or Decimal to be formatted

• `backend` is any `Cldr` backend. That is, any module that contains `use Cldr`

• `options` is a keyword list defining how the number is to be formatted. See `Cldr.Number.to_string/3` for a description of the available options.

Example

``````iex> Cldr.Number.to_at_least_string 1234, TestBackend.Cldr
{:ok, "1,234+"}``````

to_at_most_string(number, backend \\ default_backend(), options \\ [])

View Source

Specs

```to_at_most_string(number() | Decimal.t(), Cldr.backend(), Keyword.t() | map()) ::
{:ok, String.t()} | {:error, {module(), String.t()}}```

Formats a number and applies the `:at_most` format for a locale and number system.

Arguments

• `number` is an integer, float or Decimal to be formatted

• `backend` is any `Cldr` backend. That is, any module that contains `use Cldr`

• `options` is a keyword list defining how the number is to be formatted. See `Cldr.Number.to_string/3` for a description of the available options.

Example

``````iex> Cldr.Number.to_at_most_string 1234, TestBackend.Cldr
{:ok, "≤1,234"}``````

to_number_system(number, system, backend \\ default_backend())

View Source

Specs

```to_number_system(number(), atom(), Cldr.backend()) ::
String.t() | {:error, {module(), String.t()}}```

Converts a number from the latin digits `0..9` into another number system. Returns `{:ok, string}` or `{:error, reason}`.

Examples

``````iex> Cldr.Number.to_number_system 123, :hant, TestBackend.Cldr
{:ok, "一百二十三"}

iex> Cldr.Number.to_number_system 123, :hebr, TestBackend.Cldr
{:ok, "קכ״ג"}``````

to_number_system!(number, system, backend \\ default_backend())

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Specs

`to_number_system!(number(), atom(), Cldr.backend()) :: String.t() | no_return()`

Converts a number from the latin digits `0..9` into another number system. Returns the converted number or raises an exception on error.

Example

``````iex> Cldr.Number.to_number_system! 123, :hant, TestBackend.Cldr
"一百二十三"``````

to_range_string(number, backend \\ default_backend(), options \\ [])

View Source

Specs

```to_range_string(Range.t(), Cldr.backend(), Keyword.t() | map()) ::
{:ok, String.t()} | {:error, {module(), String.t()}}```

Formats the first and last numbers of a range and applies the `:range` format for a locale and number system.

Arguments

• `number` is an integer, float or Decimal to be formatted

• `backend` is any `Cldr` backend. That is, any module that contains `use Cldr`

• `options` is a keyword list defining how the number is to be formatted. See `Cldr.Number.to_string/3` for a description of the available options.

Example

``````iex> Cldr.Number.to_range_string 1234..5678, TestBackend.Cldr
{:ok, "1,234–5,678"}``````

to_string(number, backend \\ default_backend(), options \\ [])

View Source

Specs

```to_string(
number() | Decimal.t(),
Cldr.backend() | Keyword.t() | map(),
Keyword.t() | map()
) :: {:ok, String.t()} | {:error, {atom(), String.t()}}```

Returns a number formatted into a string according to a format pattern and options.

Arguments

• `number` is an integer, float or Decimal to be formatted

• `backend` is any `Cldr` backend. That is, any module that contains `use Cldr`

• `options` is a keyword list defining how the number is to be formatted. The valid options are:

Options

• `format`: the format style or a format string defining how the number is formatted. See `Cldr.Number.Format` for how format strings can be constructed. See `Cldr.Number.Format.format_styles_for/3` to return available format styles for a locale. The default `format` is `:standard`.

• If `:format` is set to `:long` or `:short` then the formatting depends on whether `:currency` is specified. If not specified then the number is formatted as `:decimal_long` or `:decimal_short`. If `:currency` is specified the number is formatted as `:currency_long` or `:currency_short` and `:fractional_digits` is set to 0 as a default.

• `:format` may also be a format defined by CLDR's Rules Based Number Formats (RBNF). Further information is found in the module `Cldr.Rbnf`. The most commonly used formats in this category are to spell out the number in a the locales language. The applicable formats are `:spellout`, `:spellout_year`, `:ordinal`. A number can also be formatted as roman numbers by using the format `:roman` or `:roman_lower`.

• `currency`: is the currency for which the number is formatted. For available currencies see `Cldr.Currency.known_currencies/0`. This option is required if `:format` is set to `:currency`. If `currency` is set and no `:format` is set, `:format` will be set to `:currency` as well.

• `currency_symbol`: Allows overriding a currency format. If set to `:iso` then the ISO currency code will be used instead of the default currency symbol. The default, `:standard`, does not change the format.

• `:cash`: a boolean which indicates whether a number being formatted as a `:currency` is to be considered a cash value or not. Currencies can be rounded differently depending on whether `:cash` is `true` or `false`. *This option is deprecated in favour of `currency_digits: :cash`.

• `:currency_digits` indicates which of the rounding and digits should be used. The options are `:accounting` which is the default, `:cash` or `:iso`

• `:rounding_mode`: determines how a number is rounded to meet the precision of the format requested. The available rounding modes are `:down`, :half_up, :half_even, :ceiling, :floor, :half_down, :up. The default is `:half_even`.

• `:number_system`: determines which of the number systems for a locale should be used to define the separators and digits for the formatted number. If `number_system` is an `atom` then `number_system` is interpreted as a number system. See `Cldr.Number.System.number_systems_for/2`. If the `:number_system` is `binary` then it is interpreted as a number system name. See `Cldr.Number.System.number_system_names_for/2`. The default is `:default`.

• `:locale`: determines the locale in which the number is formatted. See `Cldr.known_locale_names/0`. The default is`Cldr.get_locale/0` which is the locale currently in affect for this `Process` and which is set by `Cldr.put_locale/1`.

• If `:fractional_digits` is set to a positive integer value then the number will be rounded to that number of digits and displayed accordingly - overriding settings that would be applied by default. For example, currencies have fractional digits defined reflecting each currencies minor unit. Setting `:fractional_digits` will override that setting.

• If `:maximum_integer_digits` is set to a positive integer value then the numnber is left truncated before formatting. For example if the number `1234` is formatted with the option `maximum_integer_digits: 2`, the number is truncated to `34` and formatted.

• If `:round_nearest` is set to a positive integer value then the number will be rounded to nearest increment of that value - overriding settings that would be applied by default.

• `:minimum_grouping_digits` overrides the CLDR definition of minimum grouping digits. For example in the locale `es` the number `1234` is formatted by default as `1345` because the locale defines the `minimium_grouping_digits` as `2`. If `minimum_grouping_digits: 1` is set as an option the number is formatting as `1.345`. The `:minimum_grouping_digits` is added to the grouping defined by the number format. If the sum of these two digits is greater than the number of digits in the integer (or fractional) part of the number then no grouping is performed.

Locale extensions affecting formatting

A locale identifier can specify options that affect number formatting. These options are:

• `cu`: defines what currency is implied when no curreny is specified in the call to `to_string/2`.

• `cf`: defines whether to use currency or accounting format for formatting currencies. This overrides the `format: :currency` and `format: :accounting` options.

• `nu`: defines the number system to be used if none is specified by the `:number_system` option to `to_string/2`

These keys are part of the u extension and that document should be consulted for details on how to construct a locale identifier with these extensions.

Returns

• `{:ok, string}` or

• `{:error, {exception, message}}`

Examples

``````iex> Cldr.Number.to_string 12345, TestBackend.Cldr
{:ok, "12,345"}

iex> Cldr.Number.to_string 12345, TestBackend.Cldr, locale: "fr"
{:ok, "12 345"}

iex> Cldr.Number.to_string 1345.32, TestBackend.Cldr, currency: :EUR, locale: "es", minimum_grouping_digits: 1
{:ok, "1.345,32 €"}

iex> Cldr.Number.to_string 1345.32, TestBackend.Cldr, currency: :EUR, locale: "es"
{:ok, "1345,32 €"}

iex> Cldr.Number.to_string 12345, TestBackend.Cldr, locale: "fr", currency: "USD"
{:ok, "12 345,00 \$US"}

iex> Cldr.Number.to_string 12345, TestBackend.Cldr, format: "#E0"
{:ok, "1.2345E4"}

iex> Cldr.Number.to_string 12345, TestBackend.Cldr, format: :accounting, currency: "THB"
{:ok, "THB 12,345.00"}

iex> Cldr.Number.to_string -12345, TestBackend.Cldr, format: :accounting, currency: "THB"
{:ok, "(THB 12,345.00)"}

iex> Cldr.Number.to_string 12345, TestBackend.Cldr, format: :accounting, currency: "THB",
...> locale: "th"
{:ok, "฿12,345.00"}

iex> Cldr.Number.to_string 12345, TestBackend.Cldr, format: :accounting, currency: "THB",
...> locale: "th", number_system: :native
{:ok, "฿๑๒,๓๔๕.๐๐"}

iex> Cldr.Number.to_string 1244.30, TestBackend.Cldr, format: :long
{:ok, "1 thousand"}

iex> Cldr.Number.to_string 1244.30, TestBackend.Cldr, format: :long, currency: "USD"
{:ok, "1,244 US dollars"}

iex> Cldr.Number.to_string 1244.30, TestBackend.Cldr, format: :short
{:ok, "1K"}

iex> Cldr.Number.to_string 1244.30, TestBackend.Cldr, format: :short, currency: "EUR"
{:ok, "€1K"}

iex> Cldr.Number.to_string 1234, TestBackend.Cldr, format: :spellout
{:ok, "one thousand two hundred thirty-four"}

iex> Cldr.Number.to_string 1234, TestBackend.Cldr, format: :spellout_verbose
{:ok, "one thousand two hundred and thirty-four"}

iex> Cldr.Number.to_string 1989, TestBackend.Cldr, format: :spellout_year
{:ok, "nineteen eighty-nine"}

iex> Cldr.Number.to_string 123, TestBackend.Cldr, format: :ordinal
{:ok, "123rd"}

iex> Cldr.Number.to_string 123, TestBackend.Cldr, format: :roman
{:ok, "CXXIII"}

iex> Cldr.Number.to_string 123, TestBackend.Cldr, locale: "th-u-nu-thai"
{:ok, "๑๒๓"}

iex> Cldr.Number.to_string 123, TestBackend.Cldr, format: :currency, locale: "en-u-cu-thb"
{:ok, "THB 123.00"}``````

Errors

An error tuple `{:error, reason}` will be returned if an error is detected. The two most likely causes of an error return are:

• A format cannot be compiled. In this case the error tuple will look like:
``````    iex> Cldr.Number.to_string(12345, TestBackend.Cldr, format: "0#")
{:error, {Cldr.FormatCompileError,
"Decimal format compiler: syntax error before: \"#\""}}``````
• The format style requested is not defined for the `locale` and `number_system`. This happens typically when the number system is `:algorithmic` rather than the more common `:numeric`. In this case the error return looks like:
``````    iex> Cldr.Number.to_string(1234, TestBackend.Cldr, locale: "he", number_system: "hebr")
{:error, {Cldr.UnknownFormatError,
"The locale \"he\" with number system :hebr does not define a format :standard"}}``````

to_string!(number, backend \\ default_backend(), options \\ [])

View Source

Specs

```to_string!(
number() | Decimal.t(),
Cldr.backend() | Keyword.t() | map(),
Keyword.t() | map()
) :: String.t() | no_return()```

Same as the execution of `to_string/2` but raises an exception if an error would be returned.

Options

• `number` is an integer, float or Decimal to be formatted

• `options` is a keyword list defining how the number is to be formatted. See `Cldr.Number.to_string/2`

Returns

• a formatted number as a string or

• raises an exception

Examples

``````iex> Cldr.Number.to_string! 12345, TestBackend.Cldr
"12,345"

iex> Cldr.Number.to_string! 12345, TestBackend.Cldr, locale: "fr"
"12 345"``````

validate_number_system(locale, number_system, backend \\ default_backend())

View Source

Specs

```validate_number_system(
Cldr.Locale.locale_name() | Cldr.LanguageTag.t(),
Cldr.Number.System.system_name() | Cldr.Number.System.types(),
Cldr.backend()
) :: {:ok, Cldr.Number.System.system_name()} | {:error, {module(), String.t()}}```

Return a valid number system from a provided locale and number system name or type.

The number system or number system type must be valid for the given locale. If a number system type is provided, the underlying number system is returned.

Examples

``````iex> Cldr.Number.validate_number_system "en", :latn, TestBackend.Cldr
{:ok, :latn}

iex> Cldr.Number.validate_number_system "en", :default, TestBackend.Cldr
{:ok, :latn}

iex> Cldr.Number.validate_number_system "en", :unknown, TestBackend.Cldr
{:error,
{Cldr.UnknownNumberSystemError, "The number system :unknown is unknown"}}

iex> Cldr.Number.validate_number_system "zz", :default, TestBackend.Cldr
{:error, {Cldr.InvalidLanguageError, "The language \"zz\" is invalid"}}``````