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627 lines
19 KiB
Python
627 lines
19 KiB
Python
# -*- coding: utf-8 -*-
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"""
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babel.numbers
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~~~~~~~~~~~~~
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Locale dependent formatting and parsing of numeric data.
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The default locale for the functions in this module is determined by the
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following environment variables, in that order:
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* ``LC_NUMERIC``,
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* ``LC_ALL``, and
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* ``LANG``
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:copyright: (c) 2013 by the Babel Team.
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:license: BSD, see LICENSE for more details.
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"""
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# TODO:
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# Padding and rounding increments in pattern:
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# - http://www.unicode.org/reports/tr35/ (Appendix G.6)
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from decimal import Decimal, InvalidOperation
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import math
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import re
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from babel.core import default_locale, Locale
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from babel._compat import range_type
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LC_NUMERIC = default_locale('LC_NUMERIC')
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def get_currency_name(currency, count=None, locale=LC_NUMERIC):
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"""Return the name used by the locale for the specified currency.
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>>> get_currency_name('USD', locale='en_US')
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u'US Dollar'
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.. versionadded:: 0.9.4
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:param currency: the currency code
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:param count: the optional count. If provided the currency name
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will be pluralized to that number if possible.
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:param locale: the `Locale` object or locale identifier
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"""
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loc = Locale.parse(locale)
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if count is not None:
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plural_form = loc.plural_form(count)
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plural_names = loc._data['currency_names_plural']
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if currency in plural_names:
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return plural_names[currency][plural_form]
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return loc.currencies.get(currency, currency)
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def get_currency_symbol(currency, locale=LC_NUMERIC):
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"""Return the symbol used by the locale for the specified currency.
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>>> get_currency_symbol('USD', locale='en_US')
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u'$'
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:param currency: the currency code
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:param locale: the `Locale` object or locale identifier
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"""
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return Locale.parse(locale).currency_symbols.get(currency, currency)
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def get_decimal_symbol(locale=LC_NUMERIC):
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"""Return the symbol used by the locale to separate decimal fractions.
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>>> get_decimal_symbol('en_US')
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u'.'
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:param locale: the `Locale` object or locale identifier
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"""
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return Locale.parse(locale).number_symbols.get('decimal', u'.')
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def get_plus_sign_symbol(locale=LC_NUMERIC):
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"""Return the plus sign symbol used by the current locale.
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>>> get_plus_sign_symbol('en_US')
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u'+'
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:param locale: the `Locale` object or locale identifier
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"""
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return Locale.parse(locale).number_symbols.get('plusSign', u'+')
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def get_minus_sign_symbol(locale=LC_NUMERIC):
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"""Return the plus sign symbol used by the current locale.
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>>> get_minus_sign_symbol('en_US')
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u'-'
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:param locale: the `Locale` object or locale identifier
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"""
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return Locale.parse(locale).number_symbols.get('minusSign', u'-')
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def get_exponential_symbol(locale=LC_NUMERIC):
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"""Return the symbol used by the locale to separate mantissa and exponent.
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>>> get_exponential_symbol('en_US')
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u'E'
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:param locale: the `Locale` object or locale identifier
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"""
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return Locale.parse(locale).number_symbols.get('exponential', u'E')
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def get_group_symbol(locale=LC_NUMERIC):
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"""Return the symbol used by the locale to separate groups of thousands.
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>>> get_group_symbol('en_US')
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u','
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:param locale: the `Locale` object or locale identifier
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"""
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return Locale.parse(locale).number_symbols.get('group', u',')
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def format_number(number, locale=LC_NUMERIC):
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u"""Return the given number formatted for a specific locale.
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>>> format_number(1099, locale='en_US')
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u'1,099'
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>>> format_number(1099, locale='de_DE')
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u'1.099'
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:param number: the number to format
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:param locale: the `Locale` object or locale identifier
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"""
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# Do we really need this one?
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return format_decimal(number, locale=locale)
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def format_decimal(number, format=None, locale=LC_NUMERIC):
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u"""Return the given decimal number formatted for a specific locale.
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>>> format_decimal(1.2345, locale='en_US')
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u'1.234'
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>>> format_decimal(1.2346, locale='en_US')
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u'1.235'
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>>> format_decimal(-1.2346, locale='en_US')
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u'-1.235'
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>>> format_decimal(1.2345, locale='sv_SE')
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u'1,234'
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>>> format_decimal(1.2345, locale='de')
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u'1,234'
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The appropriate thousands grouping and the decimal separator are used for
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each locale:
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>>> format_decimal(12345.5, locale='en_US')
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u'12,345.5'
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:param number: the number to format
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:param format:
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:param locale: the `Locale` object or locale identifier
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"""
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locale = Locale.parse(locale)
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if not format:
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format = locale.decimal_formats.get(format)
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pattern = parse_pattern(format)
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return pattern.apply(number, locale)
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def format_currency(number, currency, format=None, locale=LC_NUMERIC):
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u"""Return formatted currency value.
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>>> format_currency(1099.98, 'USD', locale='en_US')
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u'$1,099.98'
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>>> format_currency(1099.98, 'USD', locale='es_CO')
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u'1.099,98\\xa0US$'
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>>> format_currency(1099.98, 'EUR', locale='de_DE')
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u'1.099,98\\xa0\\u20ac'
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The pattern can also be specified explicitly. The currency is
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placed with the '¤' sign. As the sign gets repeated the format
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expands (¤ being the symbol, ¤¤ is the currency abbreviation and
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¤¤¤ is the full name of the currency):
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>>> format_currency(1099.98, 'EUR', u'\xa4\xa4 #,##0.00', locale='en_US')
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u'EUR 1,099.98'
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>>> format_currency(1099.98, 'EUR', u'#,##0.00 \xa4\xa4\xa4', locale='en_US')
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u'1,099.98 euros'
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:param number: the number to format
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:param currency: the currency code
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:param locale: the `Locale` object or locale identifier
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"""
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locale = Locale.parse(locale)
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if not format:
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format = locale.currency_formats.get(format)
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pattern = parse_pattern(format)
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return pattern.apply(number, locale, currency=currency)
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def format_percent(number, format=None, locale=LC_NUMERIC):
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"""Return formatted percent value for a specific locale.
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>>> format_percent(0.34, locale='en_US')
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u'34%'
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>>> format_percent(25.1234, locale='en_US')
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u'2,512%'
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>>> format_percent(25.1234, locale='sv_SE')
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u'2\\xa0512\\xa0%'
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The format pattern can also be specified explicitly:
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>>> format_percent(25.1234, u'#,##0\u2030', locale='en_US')
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u'25,123\u2030'
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:param number: the percent number to format
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:param format:
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:param locale: the `Locale` object or locale identifier
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"""
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locale = Locale.parse(locale)
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if not format:
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format = locale.percent_formats.get(format)
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pattern = parse_pattern(format)
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return pattern.apply(number, locale)
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def format_scientific(number, format=None, locale=LC_NUMERIC):
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"""Return value formatted in scientific notation for a specific locale.
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>>> format_scientific(10000, locale='en_US')
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u'1E4'
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The format pattern can also be specified explicitly:
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>>> format_scientific(1234567, u'##0E00', locale='en_US')
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u'1.23E06'
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:param number: the number to format
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:param format:
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:param locale: the `Locale` object or locale identifier
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"""
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locale = Locale.parse(locale)
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if not format:
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format = locale.scientific_formats.get(format)
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pattern = parse_pattern(format)
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return pattern.apply(number, locale)
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class NumberFormatError(ValueError):
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"""Exception raised when a string cannot be parsed into a number."""
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def parse_number(string, locale=LC_NUMERIC):
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"""Parse localized number string into an integer.
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>>> parse_number('1,099', locale='en_US')
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1099
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>>> parse_number('1.099', locale='de_DE')
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1099
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When the given string cannot be parsed, an exception is raised:
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>>> parse_number('1.099,98', locale='de')
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Traceback (most recent call last):
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...
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NumberFormatError: '1.099,98' is not a valid number
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:param string: the string to parse
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:param locale: the `Locale` object or locale identifier
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:return: the parsed number
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:raise `NumberFormatError`: if the string can not be converted to a number
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"""
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try:
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return int(string.replace(get_group_symbol(locale), ''))
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except ValueError:
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raise NumberFormatError('%r is not a valid number' % string)
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def parse_decimal(string, locale=LC_NUMERIC):
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"""Parse localized decimal string into a decimal.
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>>> parse_decimal('1,099.98', locale='en_US')
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Decimal('1099.98')
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>>> parse_decimal('1.099,98', locale='de')
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Decimal('1099.98')
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When the given string cannot be parsed, an exception is raised:
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>>> parse_decimal('2,109,998', locale='de')
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Traceback (most recent call last):
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...
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NumberFormatError: '2,109,998' is not a valid decimal number
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:param string: the string to parse
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:param locale: the `Locale` object or locale identifier
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:raise NumberFormatError: if the string can not be converted to a
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decimal number
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"""
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locale = Locale.parse(locale)
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try:
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return Decimal(string.replace(get_group_symbol(locale), '')
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.replace(get_decimal_symbol(locale), '.'))
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except InvalidOperation:
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raise NumberFormatError('%r is not a valid decimal number' % string)
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PREFIX_END = r'[^0-9@#.,]'
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NUMBER_TOKEN = r'[0-9@#.\-,E+]'
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PREFIX_PATTERN = r"(?P<prefix>(?:'[^']*'|%s)*)" % PREFIX_END
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NUMBER_PATTERN = r"(?P<number>%s+)" % NUMBER_TOKEN
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SUFFIX_PATTERN = r"(?P<suffix>.*)"
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number_re = re.compile(r"%s%s%s" % (PREFIX_PATTERN, NUMBER_PATTERN,
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SUFFIX_PATTERN))
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def split_number(value):
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"""Convert a number into a (intasstring, fractionasstring) tuple"""
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if isinstance(value, Decimal):
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# NB can't just do text = str(value) as str repr of Decimal may be
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# in scientific notation, e.g. for small numbers.
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sign, digits, exp = value.as_tuple()
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# build list of digits in reverse order, then reverse+join
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# as per http://docs.python.org/library/decimal.html#recipes
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int_part = []
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frac_part = []
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digits = list(map(str, digits))
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# get figures after decimal point
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for i in range(-exp):
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# add digit if available, else 0
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if digits:
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frac_part.append(digits.pop())
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else:
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frac_part.append('0')
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# add in some zeroes...
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for i in range(exp):
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int_part.append('0')
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# and the rest
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while digits:
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int_part.append(digits.pop())
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# if < 1, int_part must be set to '0'
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if len(int_part) == 0:
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int_part = '0',
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if sign:
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int_part.append('-')
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return ''.join(reversed(int_part)), ''.join(reversed(frac_part))
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text = ('%.9f' % value).rstrip('0')
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if '.' in text:
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a, b = text.split('.', 1)
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if b == '0':
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b = ''
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else:
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a, b = text, ''
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return a, b
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def bankersround(value, ndigits=0):
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"""Round a number to a given precision.
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Works like round() except that the round-half-even (banker's rounding)
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algorithm is used instead of round-half-up.
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>>> bankersround(5.5, 0)
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6.0
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>>> bankersround(6.5, 0)
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6.0
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>>> bankersround(-6.5, 0)
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-6.0
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>>> bankersround(1234.0, -2)
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1200.0
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"""
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sign = int(value < 0) and -1 or 1
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value = abs(value)
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a, b = split_number(value)
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digits = a + b
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add = 0
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i = len(a) + ndigits
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if i < 0 or i >= len(digits):
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pass
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elif digits[i] > '5':
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add = 1
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elif digits[i] == '5' and digits[i-1] in '13579':
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add = 1
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elif digits[i] == '5': # previous digit is even
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# We round up unless all following digits are zero.
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for j in range_type(i + 1, len(digits)):
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if digits[j] != '0':
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add = 1
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break
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scale = 10**ndigits
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if isinstance(value, Decimal):
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return Decimal(int(value * scale + add)) / scale * sign
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else:
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return float(int(value * scale + add)) / scale * sign
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def parse_grouping(p):
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"""Parse primary and secondary digit grouping
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>>> parse_grouping('##')
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(1000, 1000)
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>>> parse_grouping('#,###')
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(3, 3)
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>>> parse_grouping('#,####,###')
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(3, 4)
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"""
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width = len(p)
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g1 = p.rfind(',')
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if g1 == -1:
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return 1000, 1000
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g1 = width - g1 - 1
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g2 = p[:-g1 - 1].rfind(',')
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if g2 == -1:
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return g1, g1
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g2 = width - g1 - g2 - 2
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return g1, g2
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def parse_pattern(pattern):
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"""Parse number format patterns"""
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if isinstance(pattern, NumberPattern):
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return pattern
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def _match_number(pattern):
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rv = number_re.search(pattern)
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if rv is None:
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raise ValueError('Invalid number pattern %r' % pattern)
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return rv.groups()
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# Do we have a negative subpattern?
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if ';' in pattern:
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pattern, neg_pattern = pattern.split(';', 1)
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pos_prefix, number, pos_suffix = _match_number(pattern)
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neg_prefix, _, neg_suffix = _match_number(neg_pattern)
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else:
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pos_prefix, number, pos_suffix = _match_number(pattern)
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neg_prefix = '-' + pos_prefix
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neg_suffix = pos_suffix
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if 'E' in number:
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number, exp = number.split('E', 1)
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else:
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exp = None
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if '@' in number:
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if '.' in number and '0' in number:
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raise ValueError('Significant digit patterns can not contain '
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'"@" or "0"')
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if '.' in number:
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integer, fraction = number.rsplit('.', 1)
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else:
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integer = number
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fraction = ''
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def parse_precision(p):
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"""Calculate the min and max allowed digits"""
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min = max = 0
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for c in p:
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if c in '@0':
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min += 1
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max += 1
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elif c == '#':
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max += 1
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elif c == ',':
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continue
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else:
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break
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return min, max
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int_prec = parse_precision(integer)
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frac_prec = parse_precision(fraction)
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if exp:
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frac_prec = parse_precision(integer+fraction)
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exp_plus = exp.startswith('+')
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exp = exp.lstrip('+')
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exp_prec = parse_precision(exp)
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else:
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exp_plus = None
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exp_prec = None
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grouping = parse_grouping(integer)
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return NumberPattern(pattern, (pos_prefix, neg_prefix),
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(pos_suffix, neg_suffix), grouping,
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int_prec, frac_prec,
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exp_prec, exp_plus)
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class NumberPattern(object):
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def __init__(self, pattern, prefix, suffix, grouping,
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int_prec, frac_prec, exp_prec, exp_plus):
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self.pattern = pattern
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self.prefix = prefix
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self.suffix = suffix
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self.grouping = grouping
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self.int_prec = int_prec
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self.frac_prec = frac_prec
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self.exp_prec = exp_prec
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self.exp_plus = exp_plus
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if '%' in ''.join(self.prefix + self.suffix):
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self.scale = 100
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elif u'‰' in ''.join(self.prefix + self.suffix):
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self.scale = 1000
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else:
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self.scale = 1
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def __repr__(self):
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return '<%s %r>' % (type(self).__name__, self.pattern)
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def apply(self, value, locale, currency=None):
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if isinstance(value, float):
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value = Decimal(str(value))
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value *= self.scale
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is_negative = int(value < 0)
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if self.exp_prec: # Scientific notation
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value = abs(value)
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if value:
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exp = int(math.floor(math.log(value, 10)))
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else:
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exp = 0
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# Minimum number of integer digits
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if self.int_prec[0] == self.int_prec[1]:
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exp -= self.int_prec[0] - 1
|
|
# Exponent grouping
|
|
elif self.int_prec[1]:
|
|
exp = int(exp / self.int_prec[1]) * self.int_prec[1]
|
|
if not isinstance(value, Decimal):
|
|
value = float(value)
|
|
if exp < 0:
|
|
value = value * 10**(-exp)
|
|
else:
|
|
value = value / 10**exp
|
|
exp_sign = ''
|
|
if exp < 0:
|
|
exp_sign = get_minus_sign_symbol(locale)
|
|
elif self.exp_plus:
|
|
exp_sign = get_plus_sign_symbol(locale)
|
|
exp = abs(exp)
|
|
number = u'%s%s%s%s' % \
|
|
(self._format_sigdig(value, self.frac_prec[0],
|
|
self.frac_prec[1]),
|
|
get_exponential_symbol(locale), exp_sign,
|
|
self._format_int(str(exp), self.exp_prec[0],
|
|
self.exp_prec[1], locale))
|
|
elif '@' in self.pattern: # Is it a siginificant digits pattern?
|
|
text = self._format_sigdig(abs(value),
|
|
self.int_prec[0],
|
|
self.int_prec[1])
|
|
if '.' in text:
|
|
a, b = text.split('.')
|
|
a = self._format_int(a, 0, 1000, locale)
|
|
if b:
|
|
b = get_decimal_symbol(locale) + b
|
|
number = a + b
|
|
else:
|
|
number = self._format_int(text, 0, 1000, locale)
|
|
else: # A normal number pattern
|
|
a, b = split_number(bankersround(abs(value),
|
|
self.frac_prec[1]))
|
|
b = b or '0'
|
|
a = self._format_int(a, self.int_prec[0],
|
|
self.int_prec[1], locale)
|
|
b = self._format_frac(b, locale)
|
|
number = a + b
|
|
retval = u'%s%s%s' % (self.prefix[is_negative], number,
|
|
self.suffix[is_negative])
|
|
if u'¤' in retval:
|
|
retval = retval.replace(u'¤¤¤',
|
|
get_currency_name(currency, value, locale))
|
|
retval = retval.replace(u'¤¤', currency.upper())
|
|
retval = retval.replace(u'¤', get_currency_symbol(currency, locale))
|
|
return retval
|
|
|
|
def _format_sigdig(self, value, min, max):
|
|
"""Convert value to a string.
|
|
|
|
The resulting string will contain between (min, max) number of
|
|
significant digits.
|
|
"""
|
|
a, b = split_number(value)
|
|
ndecimals = len(a)
|
|
if a == '0' and b != '':
|
|
ndecimals = 0
|
|
while b.startswith('0'):
|
|
b = b[1:]
|
|
ndecimals -= 1
|
|
a, b = split_number(bankersround(value, max - ndecimals))
|
|
digits = len((a + b).lstrip('0'))
|
|
if not digits:
|
|
digits = 1
|
|
# Figure out if we need to add any trailing '0':s
|
|
if len(a) >= max and a != '0':
|
|
return a
|
|
if digits < min:
|
|
b += ('0' * (min - digits))
|
|
if b:
|
|
return '%s.%s' % (a, b)
|
|
return a
|
|
|
|
def _format_int(self, value, min, max, locale):
|
|
width = len(value)
|
|
if width < min:
|
|
value = '0' * (min - width) + value
|
|
gsize = self.grouping[0]
|
|
ret = ''
|
|
symbol = get_group_symbol(locale)
|
|
while len(value) > gsize:
|
|
ret = symbol + value[-gsize:] + ret
|
|
value = value[:-gsize]
|
|
gsize = self.grouping[1]
|
|
return value + ret
|
|
|
|
def _format_frac(self, value, locale):
|
|
min, max = self.frac_prec
|
|
if len(value) < min:
|
|
value += ('0' * (min - len(value)))
|
|
if max == 0 or (min == 0 and int(value) == 0):
|
|
return ''
|
|
width = len(value)
|
|
while len(value) > min and value[-1] == '0':
|
|
value = value[:-1]
|
|
return get_decimal_symbol(locale) + value
|