Cardinalities
-
CARDINALITY_ONE
Matches
i = 1 and v = 0Example Integers:
1 -
CARDINALITY_MANY
Matches
e = 0 and i != 0 and i % 1000000 = 0 and v = 0 or e != 0..5Example Integers:
1000000, … -
CARDINALITY_OTHER
Matches
all other valuesExample Integers:
0, 2, 16, 100, 1000, 10000, 100000, …Example Decimals:
0.0, 1.5, 10.0, 100.0, 1000.0, 10000.0, 100000.0, 1000000.0, …
Cardinality example
This localized strings example uses complete, page-local CLDR minimal-pair patterns to demonstrate every cardinality category defined for the locale. Minimal-pair text contrasts grammatical forms; it is language-reference data, not reusable application copy.
Source: Unicode CLDR 48.2 it locale data.
Sample localized strings file
{ "Cardinality.MinimalPair": { "commentary": "Demonstrates every CLDR cardinal category defined for this locale.", "translation": "{{cardinalityExample}}", "placeholders": { "cardinalityExample": { "value": "cardinalityValue", "translations": { "CARDINALITY_ONE": "{{formattedCardinalityValue}} giorno", "CARDINALITY_MANY": "{{formattedCardinalityValue}} di giorni", "CARDINALITY_OTHER": "{{formattedCardinalityValue}} giorni" } } } } }
Usage and expected results
JavaScript
The JavaScript code passes each raw number for cardinality selection and formats its display value separately with Intl.NumberFormat.
import { cardinalityForNumber, createStrings } from "lokalized"; import { readStringsFromDirectory } from "lokalized/node"; const locale = "it"; const strings = createStrings({ localizedStringSupplier: () => readStringsFromDirectory("strings").catalogs, fallbackLocale: locale, localeSupplier: () => locale, }); const numberFormat = new Intl.NumberFormat(locale); // Raw numbers select language forms; Intl.NumberFormat produces the display values // CARDINALITY_ONE const oneCardinality = 1; const oneFormattedCardinalityValue = numberFormat.format(oneCardinality); cardinalityForNumber(oneCardinality, locale).name; // => "CARDINALITY_ONE" strings.get("Cardinality.MinimalPair", { cardinalityValue: oneCardinality, formattedCardinalityValue: oneFormattedCardinalityValue, }); // => "1 giorno" // CARDINALITY_MANY const manyCardinality = 1_000_000; const manyFormattedCardinalityValue = numberFormat.format(manyCardinality); cardinalityForNumber(manyCardinality, locale).name; // => "CARDINALITY_MANY" strings.get("Cardinality.MinimalPair", { cardinalityValue: manyCardinality, formattedCardinalityValue: manyFormattedCardinalityValue, }); // => "1.000.000 di giorni" // CARDINALITY_OTHER const otherCardinality = 0; const otherFormattedCardinalityValue = numberFormat.format(otherCardinality); cardinalityForNumber(otherCardinality, locale).name; // => "CARDINALITY_OTHER" strings.get("Cardinality.MinimalPair", { cardinalityValue: otherCardinality, formattedCardinalityValue: otherFormattedCardinalityValue, }); // => "0 giorni"
Java
The Java code passes each raw number for cardinality selection and formats its display value separately with NumberFormat.
Locale locale = Locale.forLanguageTag("it"); Strings strings = Strings.withFallbackLocale(locale) .localizedStringSupplier(() -> LocalizedStringLoader.loadFromFilesystem(Paths.get("strings"))) .localeSupplier((matcher) -> matcher.bestMatchFor(locale)) .build(); NumberFormat numberFormat = NumberFormat.getNumberInstance(locale); // Raw numbers select language forms; NumberFormat produces the display values // CARDINALITY_ONE Number oneCardinality = 1; String oneFormattedCardinalityValue = numberFormat.format(oneCardinality); assertEquals(Cardinality.ONE, Cardinality.forNumber(oneCardinality, locale)); // Expected: 1 giorno assertEquals(oneFormattedCardinalityValue + " giorno", strings.get( "Cardinality.MinimalPair", Map.of("cardinalityValue", oneCardinality, "formattedCardinalityValue", oneFormattedCardinalityValue) )); // CARDINALITY_MANY Number manyCardinality = 1_000_000; String manyFormattedCardinalityValue = numberFormat.format(manyCardinality); assertEquals(Cardinality.MANY, Cardinality.forNumber(manyCardinality, locale)); // Expected: 1.000.000 di giorni assertEquals(manyFormattedCardinalityValue + " di giorni", strings.get( "Cardinality.MinimalPair", Map.of( "cardinalityValue", manyCardinality, "formattedCardinalityValue", manyFormattedCardinalityValue ) )); // CARDINALITY_OTHER Number otherCardinality = 0; String otherFormattedCardinalityValue = numberFormat.format(otherCardinality); assertEquals(Cardinality.OTHER, Cardinality.forNumber(otherCardinality, locale)); // Expected: 0 giorni assertEquals(otherFormattedCardinalityValue + " giorni", strings.get( "Cardinality.MinimalPair", Map.of( "cardinalityValue", otherCardinality, "formattedCardinalityValue", otherFormattedCardinalityValue ) ));
Swift
Swift uses pinned CLDR rules for raw numeric values. The display strings in these assertions are fixed examples; applications format display values separately with Foundation. Default .rtlLocales bidi isolation adds FSI/PDI to interpolated values in right-to-left output.
import Foundation import Lokalized let locale = try LocaleTag("it") let files = try LocalizedStringLoader.loadFromDirectory(URL(fileURLWithPath: "strings")) let catalogs = files.mapValues { LocalizedCatalog(strings: $0.strings) } let strings = try DefaultStrings(configuration: StringsConfiguration( localizedStringSupplier: { catalogs }, localeSupplier: { _ in locale }, fallbackLocale: locale )) // CARDINALITY_ONE let number1 = try NumericValue.forDecimal("1") let category1 = try Cardinality.forNumber(number1, locale: locale.tag) assert(category1 == .one) // This fixed display value makes the translation assertion reproducible. let display1 = "1" let message1 = try strings.get("Cardinality.MinimalPair", placeholders: [ "cardinalityValue": .number(number1), "formattedCardinalityValue": .text(display1), ]) assert(ExactString(message1) == ExactString("1 giorno")) // CARDINALITY_MANY let number2 = try NumericValue.forDecimal("1000000") let category2 = try Cardinality.forNumber(number2, locale: locale.tag) assert(category2 == .many) // This fixed display value makes the translation assertion reproducible. let display2 = "1.000.000" let message2 = try strings.get("Cardinality.MinimalPair", placeholders: [ "cardinalityValue": .number(number2), "formattedCardinalityValue": .text(display2), ]) assert(ExactString(message2) == ExactString("1.000.000 di giorni")) // CARDINALITY_OTHER let number3 = try NumericValue.forDecimal("0") let category3 = try Cardinality.forNumber(number3, locale: locale.tag) assert(category3 == .other) // This fixed display value makes the translation assertion reproducible. let display3 = "0" let message3 = try strings.get("Cardinality.MinimalPair", placeholders: [ "cardinalityValue": .number(number3), "formattedCardinalityValue": .text(display3), ]) assert(ExactString(message3) == ExactString("0 giorni"))
Cardinality Ranges
These are CLDR's explicit range mappings. For any start/end pair not listed, the range falls back to the ending cardinality.
-
CARDINALITY_ONE - CARDINALITY_OTHER
Matches
CARDINALITY_OTHER -
CARDINALITY_OTHER - CARDINALITY_ONE
Matches
CARDINALITY_ONE -
CARDINALITY_OTHER - CARDINALITY_OTHER
Matches
CARDINALITY_OTHER
Cardinality range example
The start and end cardinalities select the locale's CLDR range result. The selected form wraps a separately formatted display range.
Sample localized strings file
{ "Delivery.Window": { "commentary": "Estimated delivery window, expressed as a range of days.", "translation": "{{window}}", "placeholders": { "window": { "range": { "start": "minDays", "end": "maxDays" }, "translations": { "CARDINALITY_ONE": "{{formattedDayRange}} giorno", "CARDINALITY_MANY": "{{formattedDayRange}} giorni", "CARDINALITY_OTHER": "{{formattedDayRange}} giorni" } } } } }
Usage and expected results
JavaScript
The JavaScript code passes raw range endpoints for selection, formats both endpoints separately with Intl.NumberFormat, and joins them for display; choose range punctuation appropriate to your application. Range rules are an optional import, lokalized/data/ranges.
import { cardinalityForNumber, createStrings } from "lokalized"; import { cardinalRangeData, cardinalityForRange } from "lokalized/data/ranges"; import { readStringsFromDirectory } from "lokalized/node"; const locale = "it"; const strings = createStrings({ localizedStringSupplier: () => readStringsFromDirectory("strings").catalogs, fallbackLocale: locale, localeSupplier: () => locale, pluralData: { ranges: cardinalRangeData }, }); const numberFormat = new Intl.NumberFormat(locale); // Raw numbers select language forms; Intl.NumberFormat produces the display values // CARDINALITY_OTHER range const minDays = 1; const formattedMinDays = numberFormat.format(minDays); const maxDays = 2; const formattedMaxDays = numberFormat.format(maxDays); const formattedDayRange = formattedMinDays + "-" + formattedMaxDays; cardinalityForRange( cardinalityForNumber(minDays, locale), cardinalityForNumber(maxDays, locale), locale ).name; // => "CARDINALITY_OTHER" strings.get("Delivery.Window", { minDays, maxDays, formattedDayRange }); // => "1-2 giorni"
Java
The Java code passes raw range endpoints for selection. Because NumberFormat formats one number at a time, it formats both endpoints separately and joins them for display; choose range punctuation appropriate to your application.
Locale locale = Locale.forLanguageTag("it"); Strings strings = Strings.withFallbackLocale(locale) .localizedStringSupplier(() -> LocalizedStringLoader.loadFromFilesystem(Paths.get("strings"))) .localeSupplier((matcher) -> matcher.bestMatchFor(locale)) .build(); NumberFormat numberFormat = NumberFormat.getNumberInstance(locale); // Raw numbers select language forms; NumberFormat produces the display values // CARDINALITY_OTHER range Number minDays = 1; String formattedMinDays = numberFormat.format(minDays); Number maxDays = 2; String formattedMaxDays = numberFormat.format(maxDays); String formattedDayRange = formattedMinDays + "-" + formattedMaxDays; assertEquals(Cardinality.OTHER, Cardinality.forRange( Cardinality.forNumber(minDays, locale), Cardinality.forNumber(maxDays, locale), locale )); // Expected: 1-2 giorni assertEquals(formattedDayRange + " giorni", strings.get( "Delivery.Window", Map.of("minDays", minDays, "maxDays", maxDays, "formattedDayRange", formattedDayRange) ));
Swift
Swift uses pinned CLDR rules for raw numeric values. The display strings in these assertions are fixed examples; applications format display values separately with Foundation. Default .rtlLocales bidi isolation adds FSI/PDI to interpolated values in right-to-left output.
import Foundation import Lokalized let locale = try LocaleTag("it") let files = try LocalizedStringLoader.loadFromDirectory(URL(fileURLWithPath: "strings")) let catalogs = files.mapValues { LocalizedCatalog(strings: $0.strings) } let strings = try DefaultStrings(configuration: StringsConfiguration( localizedStringSupplier: { catalogs }, localeSupplier: { _ in locale }, fallbackLocale: locale )) let start = try NumericValue.forDecimal("1") let end = try NumericValue.forDecimal("2") let startForm = try Cardinality.forNumber(start, locale: locale.tag) let endForm = try Cardinality.forNumber(end, locale: locale.tag) let rangeForm = try Cardinality.forRange(startForm, endForm, locale: locale.tag) assert(rangeForm == .other) let message1 = try strings.get("Delivery.Window", placeholders: [ "minDays": .number(start), "maxDays": .number(end), "formattedDayRange": .text("1-2"), ]) assert(ExactString(message1) == ExactString("1-2 giorni"))
Ordinalities
-
ORDINALITY_MANY
Matches
n = 11,8,80,800Example Integers:
8, 11, 80, 800 -
ORDINALITY_OTHER
Matches
all other valuesExample Integers:
0, 7, 9, 10, 12, 17, 100, 1000, 10000, 100000, 1000000, …
Ordinality example
This localized strings example uses complete CLDR minimal-pair patterns to demonstrate every ordinality category defined for the locale.
Source: Unicode CLDR 48.2 it locale data.
Sample localized strings file
{ "Ordinal.MinimalPair": { "commentary": "Demonstrates every CLDR ordinal category defined for this locale.", "translation": "{{ordinalExample}}", "placeholders": { "ordinalExample": { "value": "ordinalValue", "translations": { "ORDINALITY_MANY": "Prendi l'{{formattedOrdinalValue}}° a destra.", "ORDINALITY_OTHER": "Prendi la {{formattedOrdinalValue}}° a destra." } } } } }
Usage and expected results
JavaScript
The JavaScript code passes each raw number to ordinalityForNumber(...) and formats its display value separately with Intl.NumberFormat. Ordinal rules are an optional import, lokalized/data/ordinal.
import { createStrings } from "lokalized"; import { ordinalData, ordinalityForNumber } from "lokalized/data/ordinal"; import { readStringsFromDirectory } from "lokalized/node"; const locale = "it"; const strings = createStrings({ localizedStringSupplier: () => readStringsFromDirectory("strings").catalogs, fallbackLocale: locale, localeSupplier: () => locale, pluralData: { ordinal: ordinalData }, }); const numberFormat = new Intl.NumberFormat(locale); // Raw numbers select language forms; Intl.NumberFormat produces the display values // ORDINALITY_MANY const manyOrdinalValue = 8; const manyFormattedOrdinalValue = numberFormat.format(manyOrdinalValue); ordinalityForNumber(manyOrdinalValue, locale).name; // => "ORDINALITY_MANY" strings.get("Ordinal.MinimalPair", { ordinalValue: manyOrdinalValue, formattedOrdinalValue: manyFormattedOrdinalValue, }); // => "Prendi l'8° a destra." // ORDINALITY_OTHER const otherOrdinalValue = 7; const otherFormattedOrdinalValue = numberFormat.format(otherOrdinalValue); ordinalityForNumber(otherOrdinalValue, locale).name; // => "ORDINALITY_OTHER" strings.get("Ordinal.MinimalPair", { ordinalValue: otherOrdinalValue, formattedOrdinalValue: otherFormattedOrdinalValue, }); // => "Prendi la 7° a destra."
Java
The Java code passes each raw number to Ordinality.forNumber(...) and formats its display value separately with NumberFormat.
Locale locale = Locale.forLanguageTag("it"); Strings strings = Strings.withFallbackLocale(locale) .localizedStringSupplier(() -> LocalizedStringLoader.loadFromFilesystem(Paths.get("strings"))) .localeSupplier((matcher) -> matcher.bestMatchFor(locale)) .build(); NumberFormat numberFormat = NumberFormat.getNumberInstance(locale); // Raw numbers select language forms; NumberFormat produces the display values // ORDINALITY_MANY Number manyOrdinalValue = 8; String manyFormattedOrdinalValue = numberFormat.format(manyOrdinalValue); assertEquals(Ordinality.MANY, Ordinality.forNumber(manyOrdinalValue, locale)); // Expected: Prendi l'8° a destra. assertEquals("Prendi l'" + manyFormattedOrdinalValue + "° a destra.", strings.get( "Ordinal.MinimalPair", Map.of("ordinalValue", manyOrdinalValue, "formattedOrdinalValue", manyFormattedOrdinalValue) )); // ORDINALITY_OTHER Number otherOrdinalValue = 7; String otherFormattedOrdinalValue = numberFormat.format(otherOrdinalValue); assertEquals(Ordinality.OTHER, Ordinality.forNumber(otherOrdinalValue, locale)); // Expected: Prendi la 7° a destra. assertEquals("Prendi la " + otherFormattedOrdinalValue + "° a destra.", strings.get( "Ordinal.MinimalPair", Map.of("ordinalValue", otherOrdinalValue, "formattedOrdinalValue", otherFormattedOrdinalValue) ));
Swift
Swift uses pinned CLDR rules for raw numeric values. The display strings in these assertions are fixed examples; applications format display values separately with Foundation. Default .rtlLocales bidi isolation adds FSI/PDI to interpolated values in right-to-left output.
import Foundation import Lokalized let locale = try LocaleTag("it") let files = try LocalizedStringLoader.loadFromDirectory(URL(fileURLWithPath: "strings")) let catalogs = files.mapValues { LocalizedCatalog(strings: $0.strings) } let strings = try DefaultStrings(configuration: StringsConfiguration( localizedStringSupplier: { catalogs }, localeSupplier: { _ in locale }, fallbackLocale: locale )) let number1 = try NumericValue.forDecimal("8") let category1 = try Ordinality.forNumber(number1, locale: locale.tag) assert(category1 == .many) let message1 = try strings.get("Ordinal.MinimalPair", placeholders: [ "ordinalValue": .number(number1), "formattedOrdinalValue": .text("8"), ]) assert(ExactString(message1) == ExactString("Prendi l'8° a destra.")) let number2 = try NumericValue.forDecimal("7") let category2 = try Ordinality.forNumber(number2, locale: locale.tag) assert(category2 == .other) let message2 = try strings.get("Ordinal.MinimalPair", placeholders: [ "ordinalValue": .number(number2), "formattedOrdinalValue": .text("7"), ]) assert(ExactString(message2) == ExactString("Prendi la 7° a destra."))
Language-Specific Examples
These examples show how Lokalized models grammatical choices and translation behavior that commonly affect Italian application copy. Each example identifies the Lokalized language forms and other library features it uses.
Article forms by phonetic onset
Italian masculine singular articles vary by onset. This example covers a regular consonant, s impura, z, gn, ps, pn, x, and a vowel.
Language reference: Treccani - Italian article selection
Language forms used: phonetics
Sample localized strings file
{ "I see {{noun}}.": { "translation": "Vedo {{object}}.", "placeholders": { "object": { "value": "noun", "translations": { "PHONETIC_CONSONANT": "il libro", "PHONETIC_S_IMPURE": "lo studente", "PHONETIC_Z": "lo zaino", "PHONETIC_GN": "lo gnomo", "PHONETIC_PS": "lo psicologo", "PHONETIC_PN": "lo pneumatico", "PHONETIC_X": "lo xilofono", "PHONETIC_VOWEL": "l'amico" } } } } }
The application-provided resolver classifies each raw term at runtime. Its small lookup map stands in for application-specific pronunciation logic or a lexicon.
Usage and expected results
JavaScript
import { PHONETIC_CONSONANT, PHONETIC_GN, PHONETIC_OTHER, PHONETIC_PN, PHONETIC_PS, PHONETIC_S_IMPURE, PHONETIC_VOWEL, PHONETIC_X, PHONETIC_Z, createStrings } from "lokalized"; import { readStringsFromDirectory } from "lokalized/node"; const locale = "it"; const phoneticsByTerm = new Map([ ["libro", PHONETIC_CONSONANT], ["studente", PHONETIC_S_IMPURE], ["zaino", PHONETIC_Z], ["gnomo", PHONETIC_GN], ["psicologo", PHONETIC_PS], ["pneumatico", PHONETIC_PN], ["xilofono", PHONETIC_X], ["amico", PHONETIC_VOWEL], ]); const phoneticResolver = (term) => phoneticsByTerm.get(term) ?? PHONETIC_OTHER; const strings = createStrings({ localizedStringSupplier: () => readStringsFromDirectory("strings").catalogs, fallbackLocale: locale, localeSupplier: () => locale, phoneticResolver, }); strings.get("I see {{noun}}.", { noun: "libro" }); // => "Vedo il libro." strings.get("I see {{noun}}.", { noun: "studente" }); // => "Vedo lo studente." strings.get("I see {{noun}}.", { noun: "zaino" }); // => "Vedo lo zaino." strings.get("I see {{noun}}.", { noun: "gnomo" }); // => "Vedo lo gnomo." strings.get("I see {{noun}}.", { noun: "psicologo" }); // => "Vedo lo psicologo." strings.get("I see {{noun}}.", { noun: "pneumatico" }); // => "Vedo lo pneumatico." strings.get("I see {{noun}}.", { noun: "xilofono" }); // => "Vedo lo xilofono." strings.get("I see {{noun}}.", { noun: "amico" }); // => "Vedo l'amico."
Java
Locale locale = Locale.forLanguageTag("it"); Map<String, Phonetic> phoneticsByTerm = Map.ofEntries( Map.entry("libro", Phonetic.CONSONANT), Map.entry("studente", Phonetic.S_IMPURE), Map.entry("zaino", Phonetic.Z), Map.entry("gnomo", Phonetic.GN), Map.entry("psicologo", Phonetic.PS), Map.entry("pneumatico", Phonetic.PN), Map.entry("xilofono", Phonetic.X), Map.entry("amico", Phonetic.VOWEL) ); PhoneticResolver phoneticResolver = (term, ignoredLocale) -> phoneticsByTerm.getOrDefault(term, Phonetic.OTHER); Strings strings = Strings.withFallbackLocale(locale) .localizedStringSupplier(() -> LocalizedStringLoader.loadFromFilesystem(Paths.get("strings"))) .phoneticResolver(phoneticResolver) .localeSupplier((matcher) -> matcher.bestMatchFor(locale)) .build(); assertEquals("Vedo il libro.", strings.get( "I see {{noun}}.", Map.of("noun", "libro") )); assertEquals("Vedo lo studente.", strings.get( "I see {{noun}}.", Map.of("noun", "studente") )); assertEquals("Vedo lo zaino.", strings.get( "I see {{noun}}.", Map.of("noun", "zaino") )); assertEquals("Vedo lo gnomo.", strings.get( "I see {{noun}}.", Map.of("noun", "gnomo") )); assertEquals("Vedo lo psicologo.", strings.get( "I see {{noun}}.", Map.of("noun", "psicologo") )); assertEquals("Vedo lo pneumatico.", strings.get( "I see {{noun}}.", Map.of("noun", "pneumatico") )); assertEquals("Vedo lo xilofono.", strings.get( "I see {{noun}}.", Map.of("noun", "xilofono") )); assertEquals("Vedo l'amico.", strings.get( "I see {{noun}}.", Map.of("noun", "amico") ));
Swift
Swift uses pinned CLDR rules for raw numeric values. The display strings in these assertions are fixed examples; applications format display values separately with Foundation. Default .rtlLocales bidi isolation adds FSI/PDI to interpolated values in right-to-left output.
import Foundation import Lokalized let locale = try LocaleTag("it") let files = try LocalizedStringLoader.loadFromDirectory(URL(fileURLWithPath: "strings")) let catalogs = files.mapValues { LocalizedCatalog(strings: $0.strings) } let phoneticsByTerm: [ExactString: Phonetic] = [ "libro": .consonant, "studente": .sImpure, "zaino": .z, "gnomo": .gn, "psicologo": .ps, "pneumatico": .pn, "xilofono": .x, "amico": .vowel, ] let phoneticResolver: PhoneticResolver = { term, _ in phoneticsByTerm[ExactString(term)] ?? .other } let strings = try DefaultStrings(configuration: StringsConfiguration( localizedStringSupplier: { catalogs }, localeSupplier: { _ in locale }, fallbackLocale: locale, phoneticResolver: phoneticResolver )) let message1 = try strings.get("I see {{noun}}.", placeholders: [ "noun": .text("libro"), ]) assert(ExactString(message1) == ExactString("Vedo il libro.")) let message2 = try strings.get("I see {{noun}}.", placeholders: [ "noun": .text("studente"), ]) assert(ExactString(message2) == ExactString("Vedo lo studente.")) let message3 = try strings.get("I see {{noun}}.", placeholders: [ "noun": .text("zaino"), ]) assert(ExactString(message3) == ExactString("Vedo lo zaino.")) let message4 = try strings.get("I see {{noun}}.", placeholders: [ "noun": .text("gnomo"), ]) assert(ExactString(message4) == ExactString("Vedo lo gnomo.")) let message5 = try strings.get("I see {{noun}}.", placeholders: [ "noun": .text("psicologo"), ]) assert(ExactString(message5) == ExactString("Vedo lo psicologo.")) let message6 = try strings.get("I see {{noun}}.", placeholders: [ "noun": .text("pneumatico"), ]) assert(ExactString(message6) == ExactString("Vedo lo pneumatico.")) let message7 = try strings.get("I see {{noun}}.", placeholders: [ "noun": .text("xilofono"), ]) assert(ExactString(message7) == ExactString("Vedo lo xilofono.")) let message8 = try strings.get("I see {{noun}}.", placeholders: [ "noun": .text("amico"), ]) assert(ExactString(message8) == ExactString("Vedo l'amico."))
Addendum: Language Form Rules
The language form expressions above are specified by Unicode Technical Standard #35 and use the following notation:
nabsolute value of the source number (integer and decimals)iinteger digits ofnvnumber of visible fraction digits inn, with trailing zeroswnumber of visible fraction digits inn, without trailing zerosfvisible fractional digits inn, with trailing zerostvisible fractional digits inn, without trailing zerosc/ecompact decimal exponent operands used by some CLDR compact-number rules