diff options
Diffstat (limited to 'Lib/decimal.py')
-rw-r--r-- | Lib/decimal.py | 283 |
1 files changed, 198 insertions, 85 deletions
diff --git a/Lib/decimal.py b/Lib/decimal.py index 990afa7..a751aa8 100644 --- a/Lib/decimal.py +++ b/Lib/decimal.py @@ -3587,18 +3587,16 @@ class Decimal(object): return self # My components are also immutable return self.__class__(str(self)) - # PEP 3101 support. See also _parse_format_specifier and _format_align - def __format__(self, specifier, context=None): + # PEP 3101 support. the _localeconv keyword argument should be + # considered private: it's provided for ease of testing only. + def __format__(self, specifier, context=None, _localeconv=None): """Format a Decimal instance according to the given specifier. The specifier should be a standard format specifier, with the form described in PEP 3101. Formatting types 'e', 'E', 'f', - 'F', 'g', 'G', and '%' are supported. If the formatting type - is omitted it defaults to 'g' or 'G', depending on the value - of context.capitals. - - At this time the 'n' format specifier type (which is supposed - to use the current locale) is not supported. + 'F', 'g', 'G', 'n' and '%' are supported. If the formatting + type is omitted it defaults to 'g' or 'G', depending on the + value of context.capitals. """ # Note: PEP 3101 says that if the type is not present then @@ -3609,17 +3607,20 @@ class Decimal(object): if context is None: context = getcontext() - spec = _parse_format_specifier(specifier) + spec = _parse_format_specifier(specifier, _localeconv=_localeconv) - # special values don't care about the type or precision... + # special values don't care about the type or precision if self._is_special: - return _format_align(str(self), spec) + sign = _format_sign(self._sign, spec) + body = str(self.copy_abs()) + return _format_align(sign, body, spec) # a type of None defaults to 'g' or 'G', depending on context - # if type is '%', adjust exponent of self accordingly if spec['type'] is None: spec['type'] = ['g', 'G'][context.capitals] - elif spec['type'] == '%': + + # if type is '%', adjust exponent of self accordingly + if spec['type'] == '%': self = _dec_from_triple(self._sign, self._int, self._exp+2) # round if necessary, taking rounding mode from the context @@ -3628,53 +3629,45 @@ class Decimal(object): if precision is not None: if spec['type'] in 'eE': self = self._round(precision+1, rounding) - elif spec['type'] in 'gG': - if len(self._int) > precision: - self = self._round(precision, rounding) elif spec['type'] in 'fF%': self = self._rescale(-precision, rounding) + elif spec['type'] in 'gG' and len(self._int) > precision: + self = self._round(precision, rounding) # special case: zeros with a positive exponent can't be # represented in fixed point; rescale them to 0e0. - elif not self and self._exp > 0 and spec['type'] in 'fF%': + if not self and self._exp > 0 and spec['type'] in 'fF%': self = self._rescale(0, rounding) # figure out placement of the decimal point leftdigits = self._exp + len(self._int) - if spec['type'] in 'fF%': - dotplace = leftdigits - elif spec['type'] in 'eE': + if spec['type'] in 'eE': if not self and precision is not None: dotplace = 1 - precision else: dotplace = 1 + elif spec['type'] in 'fF%': + dotplace = leftdigits elif spec['type'] in 'gG': if self._exp <= 0 and leftdigits > -6: dotplace = leftdigits else: dotplace = 1 - # figure out main part of numeric string... - if dotplace <= 0: - num = '0.' + '0'*(-dotplace) + self._int - elif dotplace >= len(self._int): - # make sure we're not padding a '0' with extra zeros on the right - assert dotplace==len(self._int) or self._int != '0' - num = self._int + '0'*(dotplace-len(self._int)) + # find digits before and after decimal point, and get exponent + if dotplace < 0: + intpart = '0' + fracpart = '0'*(-dotplace) + self._int + elif dotplace > len(self._int): + intpart = self._int + '0'*(dotplace-len(self._int)) + fracpart = '' else: - num = self._int[:dotplace] + '.' + self._int[dotplace:] - - # ...then the trailing exponent, or trailing '%' - if leftdigits != dotplace or spec['type'] in 'eE': - echar = {'E': 'E', 'e': 'e', 'G': 'E', 'g': 'e'}[spec['type']] - num = num + "{0}{1:+}".format(echar, leftdigits-dotplace) - elif spec['type'] == '%': - num = num + '%' - - # add sign - if self._sign == 1: - num = '-' + num - return _format_align(num, spec) + intpart = self._int[:dotplace] or '0' + fracpart = self._int[dotplace:] + exp = leftdigits-dotplace + # done with the decimal-specific stuff; hand over the rest + # of the formatting to the _format_number function + return _format_number(self._sign, intpart, fracpart, exp, spec) def _dec_from_triple(sign, coefficient, exponent, special=False): """Create a decimal instance directly, without any validation, @@ -5516,14 +5509,13 @@ _all_zeros = re.compile('0*$').match _exact_half = re.compile('50*$').match ##### PEP3101 support functions ############################################## -# The functions parse_format_specifier and format_align have little to do -# with the Decimal class, and could potentially be reused for other pure +# The functions in this section have little to do with the Decimal +# class, and could potentially be reused or adapted for other pure # Python numeric classes that want to implement __format__ # # A format specifier for Decimal looks like: # -# [[fill]align][sign][0][minimumwidth][.precision][type] -# +# [[fill]align][sign][0][minimumwidth][,][.precision][type] _parse_format_specifier_regex = re.compile(r"""\A (?: @@ -5533,14 +5525,23 @@ _parse_format_specifier_regex = re.compile(r"""\A (?P<sign>[-+ ])? (?P<zeropad>0)? (?P<minimumwidth>(?!0)\d+)? +(?P<thousands_sep>,)? (?:\.(?P<precision>0|(?!0)\d+))? -(?P<type>[eEfFgG%])? +(?P<type>[eEfFgGn%])? \Z """, re.VERBOSE) del re -def _parse_format_specifier(format_spec): +# The locale module is only needed for the 'n' format specifier. The +# rest of the PEP 3101 code functions quite happily without it, so we +# don't care too much if locale isn't present. +try: + import locale as _locale +except ImportError: + pass + +def _parse_format_specifier(format_spec, _localeconv=None): """Parse and validate a format specifier. Turns a standard numeric format specifier into a dict, with the @@ -5550,9 +5551,13 @@ def _parse_format_specifier(format_spec): align: alignment type, either '<', '>', '=' or '^' sign: either '+', '-' or ' ' minimumwidth: nonnegative integer giving minimum width + zeropad: boolean, indicating whether to pad with zeros + thousands_sep: string to use as thousands separator, or '' + grouping: grouping for thousands separators, in format + used by localeconv + decimal_point: string to use for decimal point precision: nonnegative integer giving precision, or None type: one of the characters 'eEfFgG%', or None - unicode: either True or False (always True for Python 3.x) """ m = _parse_format_specifier_regex.match(format_spec) @@ -5562,26 +5567,25 @@ def _parse_format_specifier(format_spec): # get the dictionary format_dict = m.groupdict() - # defaults for fill and alignment + # zeropad; defaults for fill and alignment. If zero padding + # is requested, the fill and align fields should be absent. fill = format_dict['fill'] align = format_dict['align'] - if format_dict.pop('zeropad') is not None: - # in the face of conflict, refuse the temptation to guess - if fill is not None and fill != '0': + format_dict['zeropad'] = (format_dict['zeropad'] is not None) + if format_dict['zeropad']: + if fill is not None: raise ValueError("Fill character conflicts with '0'" " in format specifier: " + format_spec) - if align is not None and align != '=': + if align is not None: raise ValueError("Alignment conflicts with '0' in " "format specifier: " + format_spec) - fill = '0' - align = '=' format_dict['fill'] = fill or ' ' format_dict['align'] = align or '<' + # default sign handling: '-' for negative, '' for positive if format_dict['sign'] is None: format_dict['sign'] = '-' - # turn minimumwidth and precision entries into integers. # minimumwidth defaults to 0; precision remains None if not given format_dict['minimumwidth'] = int(format_dict['minimumwidth'] or '0') if format_dict['precision'] is not None: @@ -5593,54 +5597,163 @@ def _parse_format_specifier(format_spec): if format_dict['type'] in 'gG' or format_dict['type'] is None: format_dict['precision'] = 1 - # record whether return type should be str or unicode - format_dict['unicode'] = True + # determine thousands separator, grouping, and decimal separator, and + # add appropriate entries to format_dict + if format_dict['type'] == 'n': + # apart from separators, 'n' behaves just like 'g' + format_dict['type'] = 'g' + if _localeconv is None: + _localeconv = _locale.localeconv() + if format_dict['thousands_sep'] is not None: + raise ValueError("Explicit thousands separator conflicts with " + "'n' type in format specifier: " + format_spec) + format_dict['thousands_sep'] = _localeconv['thousands_sep'] + format_dict['grouping'] = _localeconv['grouping'] + format_dict['decimal_point'] = _localeconv['decimal_point'] + else: + if format_dict['thousands_sep'] is None: + format_dict['thousands_sep'] = '' + format_dict['grouping'] = [3, 0] + format_dict['decimal_point'] = '.' return format_dict -def _format_align(body, spec_dict): - """Given an unpadded, non-aligned numeric string, add padding and - aligment to conform with the given format specifier dictionary (as - output from parse_format_specifier). - - It's assumed that if body is negative then it starts with '-'. - Any leading sign ('-' or '+') is stripped from the body before - applying the alignment and padding rules, and replaced in the - appropriate position. +def _format_align(sign, body, spec): + """Given an unpadded, non-aligned numeric string 'body' and sign + string 'sign', add padding and aligment conforming to the given + format specifier dictionary 'spec' (as produced by + parse_format_specifier). """ - # figure out the sign; we only examine the first character, so if - # body has leading whitespace the results may be surprising. - if len(body) > 0 and body[0] in '-+': - sign = body[0] - body = body[1:] - else: - sign = '' - - if sign != '-': - if spec_dict['sign'] in ' +': - sign = spec_dict['sign'] - else: - sign = '' - # how much extra space do we have to play with? - minimumwidth = spec_dict['minimumwidth'] - fill = spec_dict['fill'] - padding = fill*(max(minimumwidth - (len(sign+body)), 0)) + minimumwidth = spec['minimumwidth'] + fill = spec['fill'] + padding = fill*(minimumwidth - len(sign) - len(body)) - align = spec_dict['align'] + align = spec['align'] if align == '<': result = sign + body + padding elif align == '>': result = padding + sign + body elif align == '=': result = sign + padding + body - else: #align == '^' + elif align == '^': half = len(padding)//2 result = padding[:half] + sign + body + padding[half:] + else: + raise ValueError('Unrecognised alignment field') return result +def _group_lengths(grouping): + """Convert a localeconv-style grouping into a (possibly infinite) + iterable of integers representing group lengths. + + """ + # The result from localeconv()['grouping'], and the input to this + # function, should be a list of integers in one of the + # following three forms: + # + # (1) an empty list, or + # (2) nonempty list of positive integers + [0] + # (3) list of positive integers + [locale.CHAR_MAX], or + + from itertools import chain, repeat + if not grouping: + return [] + elif grouping[-1] == 0 and len(grouping) >= 2: + return chain(grouping[:-1], repeat(grouping[-2])) + elif grouping[-1] == _locale.CHAR_MAX: + return grouping[:-1] + else: + raise ValueError('unrecognised format for grouping') + +def _insert_thousands_sep(digits, spec, min_width=1): + """Insert thousands separators into a digit string. + + spec is a dictionary whose keys should include 'thousands_sep' and + 'grouping'; typically it's the result of parsing the format + specifier using _parse_format_specifier. + + The min_width keyword argument gives the minimum length of the + result, which will be padded on the left with zeros if necessary. + + If necessary, the zero padding adds an extra '0' on the left to + avoid a leading thousands separator. For example, inserting + commas every three digits in '123456', with min_width=8, gives + '0,123,456', even though that has length 9. + + """ + + sep = spec['thousands_sep'] + grouping = spec['grouping'] + + groups = [] + for l in _group_lengths(grouping): + if groups: + min_width -= len(sep) + if l <= 0: + raise ValueError("group length should be positive") + # max(..., 1) forces at least 1 digit to the left of a separator + l = min(max(len(digits), min_width, 1), l) + groups.append('0'*(l - len(digits)) + digits[-l:]) + digits = digits[:-l] + min_width -= l + if not digits and min_width <= 0: + break + else: + l = max(len(digits), min_width, 1) + groups.append('0'*(l - len(digits)) + digits[-l:]) + return sep.join(reversed(groups)) + +def _format_sign(is_negative, spec): + """Determine sign character.""" + + if is_negative: + return '-' + elif spec['sign'] in ' +': + return spec['sign'] + else: + return '' + +def _format_number(is_negative, intpart, fracpart, exp, spec): + """Format a number, given the following data: + + is_negative: true if the number is negative, else false + intpart: string of digits that must appear before the decimal point + fracpart: string of digits that must come after the point + exp: exponent, as an integer + spec: dictionary resulting from parsing the format specifier + + This function uses the information in spec to: + insert separators (decimal separator and thousands separators) + format the sign + format the exponent + add trailing '%' for the '%' type + zero-pad if necessary + fill and align if necessary + """ + + sign = _format_sign(is_negative, spec) + + if fracpart: + fracpart = spec['decimal_point'] + fracpart + + if exp != 0 or spec['type'] in 'eE': + echar = {'E': 'E', 'e': 'e', 'G': 'E', 'g': 'e'}[spec['type']] + fracpart += "{0}{1:+}".format(echar, exp) + if spec['type'] == '%': + fracpart += '%' + + if spec['zeropad']: + min_width = spec['minimumwidth'] - len(fracpart) - len(sign) + else: + min_width = 0 + intpart = _insert_thousands_sep(intpart, spec, min_width) + + return _format_align(sign, intpart+fracpart, spec) + + ##### Useful Constants (internal use only) ################################ # Reusable defaults |