diff --git a/Doc/library/fractions.rst b/Doc/library/fractions.rst index dc9d5fc18215c4..06b0e038c89bd0 100644 --- a/Doc/library/fractions.rst +++ b/Doc/library/fractions.rst @@ -101,6 +101,11 @@ another rational number, or from a string. .. versionchanged:: 3.12 Space is allowed around the slash for string inputs: ``Fraction('2 / 3')``. + .. versionchanged:: 3.12 + :class:`Fraction` instances now support float-style formatting, with + presentation types ``"e"``, ``"E"``, ``"f"``, ``"F"``, ``"g"``, ``"G"`` + and ``"%""``. + .. attribute:: numerator Numerator of the Fraction in lowest term. @@ -193,6 +198,29 @@ another rational number, or from a string. ``ndigits`` is negative), again rounding half toward even. This method can also be accessed through the :func:`round` function. + .. method:: __format__(format_spec, /) + + Provides support for float-style formatting of :class:`Fraction` + instances via the :meth:`str.format` method, the :func:`format` built-in + function, or :ref:`Formatted string literals `. The + presentation types ``"e"``, ``"E"``, ``"f"``, ``"F"``, ``"g"``, ``"G"`` + and ``"%"`` are supported. For these presentation types, formatting for a + :class:`Fraction` object ``x`` follows the rules outlined for + the :class:`float` type in the :ref:`formatspec` section. + + Here are some examples:: + + >>> from fractions import Fraction + >>> format(Fraction(1, 7), '.40g') + '0.1428571428571428571428571428571428571429' + >>> format(Fraction('1234567.855'), '_.2f') + '1_234_567.86' + >>> f"{Fraction(355, 113):*>20.6e}" + '********3.141593e+00' + >>> old_price, new_price = 499, 672 + >>> "{:.2%} price increase".format(Fraction(new_price, old_price) - 1) + '34.67% price increase' + .. seealso:: diff --git a/Doc/whatsnew/3.12.rst b/Doc/whatsnew/3.12.rst index 851105f004ba84..164cd89522d2bb 100644 --- a/Doc/whatsnew/3.12.rst +++ b/Doc/whatsnew/3.12.rst @@ -269,6 +269,12 @@ dis :data:`~dis.hasarg` collection instead. (Contributed by Irit Katriel in :gh:`94216`.) +fractions +--------- + +* Objects of type :class:`fractions.Fraction` now support float-style + formatting. (Contributed by Mark Dickinson in :gh:`100161`.) + math ---- diff --git a/Lib/fractions.py b/Lib/fractions.py index bdba6c339593c2..49a3f2841a2ed4 100644 --- a/Lib/fractions.py +++ b/Lib/fractions.py @@ -69,6 +69,96 @@ def _hash_algorithm(numerator, denominator): """, re.VERBOSE | re.IGNORECASE) +# Helpers for formatting + +def _round_to_exponent(n, d, exponent, no_neg_zero=False): + """Round a rational number to the nearest multiple of a given power of 10. + + Rounds the rational number n/d to the nearest integer multiple of + 10**exponent, rounding to the nearest even integer multiple in the case of + a tie. Returns a pair (sign: bool, significand: int) representing the + rounded value (-1)**sign * significand * 10**exponent. + + If no_neg_zero is true, then the returned sign will always be False when + the significand is zero. Otherwise, the sign reflects the sign of the + input. + + d must be positive, but n and d need not be relatively prime. + """ + if exponent >= 0: + d *= 10**exponent + else: + n *= 10**-exponent + + # The divmod quotient is correct for round-ties-towards-positive-infinity; + # In the case of a tie, we zero out the least significant bit of q. + q, r = divmod(n + (d >> 1), d) + if r == 0 and d & 1 == 0: + q &= -2 + + sign = q < 0 if no_neg_zero else n < 0 + return sign, abs(q) + + +def _round_to_figures(n, d, figures): + """Round a rational number to a given number of significant figures. + + Rounds the rational number n/d to the given number of significant figures + using the round-ties-to-even rule, and returns a triple + (sign: bool, significand: int, exponent: int) representing the rounded + value (-1)**sign * significand * 10**exponent. + + In the special case where n = 0, returns a significand of zero and + an exponent of 1 - figures, for compatibility with formatting. + Otherwise, the returned significand satisfies + 10**(figures - 1) <= significand < 10**figures. + + d must be positive, but n and d need not be relatively prime. + figures must be positive. + """ + # Special case for n == 0. + if n == 0: + return False, 0, 1 - figures + + # Find integer m satisfying 10**(m - 1) <= abs(n)/d <= 10**m. (If abs(n)/d + # is a power of 10, either of the two possible values for m is fine.) + str_n, str_d = str(abs(n)), str(d) + m = len(str_n) - len(str_d) + (str_d <= str_n) + + # Round to a multiple of 10**(m - figures). The significand we get + # satisfies 10**(figures - 1) <= significand <= 10**figures. + exponent = m - figures + sign, significand = _round_to_exponent(n, d, exponent) + + # Adjust in the case where significand == 10**figures, to ensure that + # 10**(figures - 1) <= significand < 10**figures. + if len(str(significand)) == figures + 1: + significand //= 10 + exponent += 1 + + return sign, significand, exponent + + +# Pattern for matching float-style format specifications; +# supports 'e', 'E', 'f', 'F', 'g', 'G' and '%' presentation types. +_FLOAT_FORMAT_SPECIFICATION_MATCHER = re.compile(r""" + (?: + (?P.)? + (?P[<>=^]) + )? + (?P[-+ ]?) + (?Pz)? + (?P\#)? + # A '0' that's *not* followed by another digit is parsed as a minimum width + # rather than a zeropad flag. + (?P0(?=[0-9]))? + (?P0|[1-9][0-9]*)? + (?P[,_])? + (?:\.(?P0|[1-9][0-9]*))? + (?P[eEfFgG%]) +""", re.DOTALL | re.VERBOSE).fullmatch + + class Fraction(numbers.Rational): """This class implements rational numbers. @@ -314,6 +404,122 @@ def __str__(self): else: return '%s/%s' % (self._numerator, self._denominator) + def __format__(self, format_spec, /): + """Format this fraction according to the given format specification.""" + + # Backwards compatiblility with existing formatting. + if not format_spec: + return str(self) + + # Validate and parse the format specifier. + match = _FLOAT_FORMAT_SPECIFICATION_MATCHER(format_spec) + if match is None: + raise ValueError( + f"Invalid format specifier {format_spec!r} " + f"for object of type {type(self).__name__!r}" + ) + elif match["align"] is not None and match["zeropad"] is not None: + # Avoid the temptation to guess. + raise ValueError( + f"Invalid format specifier {format_spec!r} " + f"for object of type {type(self).__name__!r}; " + "can't use explicit alignment when zero-padding" + ) + fill = match["fill"] or " " + align = match["align"] or ">" + pos_sign = "" if match["sign"] == "-" else match["sign"] + no_neg_zero = bool(match["no_neg_zero"]) + alternate_form = bool(match["alt"]) + zeropad = bool(match["zeropad"]) + minimumwidth = int(match["minimumwidth"] or "0") + thousands_sep = match["thousands_sep"] + precision = int(match["precision"] or "6") + presentation_type = match["presentation_type"] + trim_zeros = presentation_type in "gG" and not alternate_form + trim_point = not alternate_form + exponent_indicator = "E" if presentation_type in "EFG" else "e" + + # Round to get the digits we need, figure out where to place the point, + # and decide whether to use scientific notation. 'point_pos' is the + # relative to the _end_ of the digit string: that is, it's the number + # of digits that should follow the point. + if presentation_type in "fF%": + exponent = -precision + if presentation_type == "%": + exponent -= 2 + negative, significand = _round_to_exponent( + self._numerator, self._denominator, exponent, no_neg_zero) + scientific = False + point_pos = precision + else: # presentation_type in "eEgG" + figures = ( + max(precision, 1) + if presentation_type in "gG" + else precision + 1 + ) + negative, significand, exponent = _round_to_figures( + self._numerator, self._denominator, figures) + scientific = ( + presentation_type in "eE" + or exponent > 0 + or exponent + figures <= -4 + ) + point_pos = figures - 1 if scientific else -exponent + + # Get the suffix - the part following the digits, if any. + if presentation_type == "%": + suffix = "%" + elif scientific: + suffix = f"{exponent_indicator}{exponent + point_pos:+03d}" + else: + suffix = "" + + # String of output digits, padded sufficiently with zeros on the left + # so that we'll have at least one digit before the decimal point. + digits = f"{significand:0{point_pos + 1}d}" + + # Before padding, the output has the form f"{sign}{leading}{trailing}", + # where `leading` includes thousands separators if necessary and + # `trailing` includes the decimal separator where appropriate. + sign = "-" if negative else pos_sign + leading = digits[: len(digits) - point_pos] + frac_part = digits[len(digits) - point_pos :] + if trim_zeros: + frac_part = frac_part.rstrip("0") + separator = "" if trim_point and not frac_part else "." + trailing = separator + frac_part + suffix + + # Do zero padding if required. + if zeropad: + min_leading = minimumwidth - len(sign) - len(trailing) + # When adding thousands separators, they'll be added to the + # zero-padded portion too, so we need to compensate. + leading = leading.zfill( + 3 * min_leading // 4 + 1 if thousands_sep else min_leading + ) + + # Insert thousands separators if required. + if thousands_sep: + first_pos = 1 + (len(leading) - 1) % 3 + leading = leading[:first_pos] + "".join( + thousands_sep + leading[pos : pos + 3] + for pos in range(first_pos, len(leading), 3) + ) + + # We now have a sign and a body. Pad with fill character if necessary + # and return. + body = leading + trailing + padding = fill * (minimumwidth - len(sign) - len(body)) + if align == ">": + return padding + sign + body + elif align == "<": + return sign + body + padding + elif align == "^": + half = len(padding) // 2 + return padding[:half] + sign + body + padding[half:] + else: # align == "=" + return sign + padding + body + def _operator_fallbacks(monomorphic_operator, fallback_operator): """Generates forward and reverse operators given a purely-rational operator and a function from the operator module. diff --git a/Lib/test/test_fractions.py b/Lib/test/test_fractions.py index 819d680fd88e4e..3bc6b409e05dc3 100644 --- a/Lib/test/test_fractions.py +++ b/Lib/test/test_fractions.py @@ -843,6 +843,382 @@ def denominator(self): self.assertEqual(type(f.numerator), myint) self.assertEqual(type(f.denominator), myint) + def test_format_no_presentation_type(self): + # Triples (fraction, specification, expected_result) + testcases = [ + (F(1, 3), '', '1/3'), + (F(-1, 3), '', '-1/3'), + (F(3), '', '3'), + (F(-3), '', '-3'), + ] + for fraction, spec, expected in testcases: + with self.subTest(fraction=fraction, spec=spec): + self.assertEqual(format(fraction, spec), expected) + + def test_format_e_presentation_type(self): + # Triples (fraction, specification, expected_result) + testcases = [ + (F(2, 3), '.6e', '6.666667e-01'), + (F(3, 2), '.6e', '1.500000e+00'), + (F(2, 13), '.6e', '1.538462e-01'), + (F(2, 23), '.6e', '8.695652e-02'), + (F(2, 33), '.6e', '6.060606e-02'), + (F(13, 2), '.6e', '6.500000e+00'), + (F(20, 2), '.6e', '1.000000e+01'), + (F(23, 2), '.6e', '1.150000e+01'), + (F(33, 2), '.6e', '1.650000e+01'), + (F(2, 3), '.6e', '6.666667e-01'), + (F(3, 2), '.6e', '1.500000e+00'), + # Zero + (F(0), '.3e', '0.000e+00'), + # Powers of 10, to exercise the log10 boundary logic + (F(1, 1000), '.3e', '1.000e-03'), + (F(1, 100), '.3e', '1.000e-02'), + (F(1, 10), '.3e', '1.000e-01'), + (F(1, 1), '.3e', '1.000e+00'), + (F(10), '.3e', '1.000e+01'), + (F(100), '.3e', '1.000e+02'), + (F(1000), '.3e', '1.000e+03'), + # Boundary where we round up to the next power of 10 + (F('99.999994999999'), '.6e', '9.999999e+01'), + (F('99.999995'), '.6e', '1.000000e+02'), + (F('99.999995000001'), '.6e', '1.000000e+02'), + # Negatives + (F(-2, 3), '.6e', '-6.666667e-01'), + (F(-3, 2), '.6e', '-1.500000e+00'), + (F(-100), '.6e', '-1.000000e+02'), + # Large and small + (F('1e1000'), '.3e', '1.000e+1000'), + (F('1e-1000'), '.3e', '1.000e-1000'), + # Using 'E' instead of 'e' should give us a capital 'E' + (F(2, 3), '.6E', '6.666667E-01'), + # Tiny precision + (F(2, 3), '.1e', '6.7e-01'), + (F('0.995'), '.0e', '1e+00'), + # Default precision is 6 + (F(22, 7), 'e', '3.142857e+00'), + # Alternate form forces a decimal point + (F('0.995'), '#.0e', '1.e+00'), + # Check that padding takes the exponent into account. + (F(22, 7), '11.6e', '3.142857e+00'), + (F(22, 7), '12.6e', '3.142857e+00'), + (F(22, 7), '13.6e', ' 3.142857e+00'), + # Thousands separators + (F('1234567.123456'), ',.5e', '1.23457e+06'), + (F('123.123456'), '012_.2e', '0_001.23e+02'), + # z flag is legal, but never makes a difference to the output + (F(-1, 7**100), 'z.6e', '-3.091690e-85'), + ] + for fraction, spec, expected in testcases: + with self.subTest(fraction=fraction, spec=spec): + self.assertEqual(format(fraction, spec), expected) + + def test_format_f_presentation_type(self): + # Triples (fraction, specification, expected_result) + testcases = [ + # Simple .f formatting + (F(0, 1), '.2f', '0.00'), + (F(1, 3), '.2f', '0.33'), + (F(2, 3), '.2f', '0.67'), + (F(4, 3), '.2f', '1.33'), + (F(1, 8), '.2f', '0.12'), + (F(3, 8), '.2f', '0.38'), + (F(1, 13), '.2f', '0.08'), + (F(1, 199), '.2f', '0.01'), + (F(1, 200), '.2f', '0.00'), + (F(22, 7), '.5f', '3.14286'), + (F('399024789'), '.2f', '399024789.00'), + # Large precision (more than float can provide) + (F(104348, 33215), '.50f', + '3.14159265392142104470871594159265392142104470871594'), + # Precision defaults to 6 if not given + (F(22, 7), 'f', '3.142857'), + (F(0), 'f', '0.000000'), + (F(-22, 7), 'f', '-3.142857'), + # Round-ties-to-even checks + (F('1.225'), '.2f', '1.22'), + (F('1.2250000001'), '.2f', '1.23'), + (F('1.2349999999'), '.2f', '1.23'), + (F('1.235'), '.2f', '1.24'), + (F('1.245'), '.2f', '1.24'), + (F('1.2450000001'), '.2f', '1.25'), + (F('1.2549999999'), '.2f', '1.25'), + (F('1.255'), '.2f', '1.26'), + (F('-1.225'), '.2f', '-1.22'), + (F('-1.2250000001'), '.2f', '-1.23'), + (F('-1.2349999999'), '.2f', '-1.23'), + (F('-1.235'), '.2f', '-1.24'), + (F('-1.245'), '.2f', '-1.24'), + (F('-1.2450000001'), '.2f', '-1.25'), + (F('-1.2549999999'), '.2f', '-1.25'), + (F('-1.255'), '.2f', '-1.26'), + # Negatives and sign handling + (F(2, 3), '.2f', '0.67'), + (F(2, 3), '-.2f', '0.67'), + (F(2, 3), '+.2f', '+0.67'), + (F(2, 3), ' .2f', ' 0.67'), + (F(-2, 3), '.2f', '-0.67'), + (F(-2, 3), '-.2f', '-0.67'), + (F(-2, 3), '+.2f', '-0.67'), + (F(-2, 3), ' .2f', '-0.67'), + # Formatting to zero places + (F(1, 2), '.0f', '0'), + (F(-1, 2), '.0f', '-0'), + (F(22, 7), '.0f', '3'), + (F(-22, 7), '.0f', '-3'), + # Formatting to zero places, alternate form + (F(1, 2), '#.0f', '0.'), + (F(-1, 2), '#.0f', '-0.'), + (F(22, 7), '#.0f', '3.'), + (F(-22, 7), '#.0f', '-3.'), + # z flag for suppressing negative zeros + (F('-0.001'), 'z.2f', '0.00'), + (F('-0.001'), '-z.2f', '0.00'), + (F('-0.001'), '+z.2f', '+0.00'), + (F('-0.001'), ' z.2f', ' 0.00'), + (F('0.001'), 'z.2f', '0.00'), + (F('0.001'), '-z.2f', '0.00'), + (F('0.001'), '+z.2f', '+0.00'), + (F('0.001'), ' z.2f', ' 0.00'), + # Specifying a minimum width + (F(2, 3), '6.2f', ' 0.67'), + (F(12345), '6.2f', '12345.00'), + (F(12345), '12f', '12345.000000'), + # Fill and alignment + (F(2, 3), '>6.2f', ' 0.67'), + (F(2, 3), '<6.2f', '0.67 '), + (F(2, 3), '^3.2f', '0.67'), + (F(2, 3), '^4.2f', '0.67'), + (F(2, 3), '^5.2f', '0.67 '), + (F(2, 3), '^6.2f', ' 0.67 '), + (F(2, 3), '^7.2f', ' 0.67 '), + (F(2, 3), '^8.2f', ' 0.67 '), + # '=' alignment + (F(-2, 3), '=+8.2f', '- 0.67'), + (F(2, 3), '=+8.2f', '+ 0.67'), + # Fill character + (F(-2, 3), 'X>3.2f', '-0.67'), + (F(-2, 3), 'X>7.2f', 'XX-0.67'), + (F(-2, 3), 'X<7.2f', '-0.67XX'), + (F(-2, 3), 'X^7.2f', 'X-0.67X'), + (F(-2, 3), 'X=7.2f', '-XX0.67'), + (F(-2, 3), ' >7.2f', ' -0.67'), + # Corner cases: weird fill characters + (F(-2, 3), '\x00>7.2f', '\x00\x00-0.67'), + (F(-2, 3), '\n>7.2f', '\n\n-0.67'), + (F(-2, 3), '\t>7.2f', '\t\t-0.67'), + (F(-2, 3), '>>7.2f', '>>-0.67'), + (F(-2, 3), '<>7.2f', '<<-0.67'), + (F(-2, 3), '→>7.2f', '→→-0.67'), + # Zero-padding + (F(-2, 3), '07.2f', '-000.67'), + (F(-2, 3), '-07.2f', '-000.67'), + (F(2, 3), '+07.2f', '+000.67'), + (F(2, 3), ' 07.2f', ' 000.67'), + # An isolated zero is a minimum width, not a zero-pad flag. + # So unlike zero-padding, it's legal in combination with alignment. + (F(2, 3), '0.2f', '0.67'), + (F(2, 3), '>0.2f', '0.67'), + (F(2, 3), '<0.2f', '0.67'), + (F(2, 3), '^0.2f', '0.67'), + (F(2, 3), '=0.2f', '0.67'), + # Corner case: zero-padding _and_ a zero minimum width. + (F(2, 3), '00.2f', '0.67'), + # Thousands separator (only affects portion before the point) + (F(2, 3), ',.2f', '0.67'), + (F(2, 3), ',.7f', '0.6666667'), + (F('123456.789'), ',.2f', '123,456.79'), + (F('1234567'), ',.2f', '1,234,567.00'), + (F('12345678'), ',.2f', '12,345,678.00'), + (F('12345678'), ',f', '12,345,678.000000'), + # Underscore as thousands separator + (F(2, 3), '_.2f', '0.67'), + (F(2, 3), '_.7f', '0.6666667'), + (F('123456.789'), '_.2f', '123_456.79'), + (F('1234567'), '_.2f', '1_234_567.00'), + (F('12345678'), '_.2f', '12_345_678.00'), + # Thousands and zero-padding + (F('1234.5678'), '07,.2f', '1,234.57'), + (F('1234.5678'), '08,.2f', '1,234.57'), + (F('1234.5678'), '09,.2f', '01,234.57'), + (F('1234.5678'), '010,.2f', '001,234.57'), + (F('1234.5678'), '011,.2f', '0,001,234.57'), + (F('1234.5678'), '012,.2f', '0,001,234.57'), + (F('1234.5678'), '013,.2f', '00,001,234.57'), + (F('1234.5678'), '014,.2f', '000,001,234.57'), + (F('1234.5678'), '015,.2f', '0,000,001,234.57'), + (F('1234.5678'), '016,.2f', '0,000,001,234.57'), + (F('-1234.5678'), '07,.2f', '-1,234.57'), + (F('-1234.5678'), '08,.2f', '-1,234.57'), + (F('-1234.5678'), '09,.2f', '-1,234.57'), + (F('-1234.5678'), '010,.2f', '-01,234.57'), + (F('-1234.5678'), '011,.2f', '-001,234.57'), + (F('-1234.5678'), '012,.2f', '-0,001,234.57'), + (F('-1234.5678'), '013,.2f', '-0,001,234.57'), + (F('-1234.5678'), '014,.2f', '-00,001,234.57'), + (F('-1234.5678'), '015,.2f', '-000,001,234.57'), + (F('-1234.5678'), '016,.2f', '-0,000,001,234.57'), + # Corner case: no decimal point + (F('-1234.5678'), '06,.0f', '-1,235'), + (F('-1234.5678'), '07,.0f', '-01,235'), + (F('-1234.5678'), '08,.0f', '-001,235'), + (F('-1234.5678'), '09,.0f', '-0,001,235'), + # Corner-case - zero-padding specified through fill and align + # instead of the zero-pad character - in this case, treat '0' as a + # regular fill character and don't attempt to insert commas into + # the filled portion. This differs from the int and float + # behaviour. + (F('1234.5678'), '0=12,.2f', '00001,234.57'), + # Corner case where it's not clear whether the '0' indicates zero + # padding or gives the minimum width, but there's still an obvious + # answer to give. We want this to work in case the minimum width + # is being inserted programmatically: spec = f'{width}.2f'. + (F('12.34'), '0.2f', '12.34'), + (F('12.34'), 'X>0.2f', '12.34'), + # 'F' should work identically to 'f' + (F(22, 7), '.5F', '3.14286'), + # %-specifier + (F(22, 7), '.2%', '314.29%'), + (F(1, 7), '.2%', '14.29%'), + (F(1, 70), '.2%', '1.43%'), + (F(1, 700), '.2%', '0.14%'), + (F(1, 7000), '.2%', '0.01%'), + (F(1, 70000), '.2%', '0.00%'), + (F(1, 7), '.0%', '14%'), + (F(1, 7), '#.0%', '14.%'), + (F(100, 7), ',.2%', '1,428.57%'), + (F(22, 7), '7.2%', '314.29%'), + (F(22, 7), '8.2%', ' 314.29%'), + (F(22, 7), '08.2%', '0314.29%'), + # Test cases from #67790 and discuss.python.org Ideas thread. + (F(1, 3), '.2f', '0.33'), + (F(1, 8), '.2f', '0.12'), + (F(3, 8), '.2f', '0.38'), + (F(2545, 1000), '.2f', '2.54'), + (F(2549, 1000), '.2f', '2.55'), + (F(2635, 1000), '.2f', '2.64'), + (F(1, 100), '.1f', '0.0'), + (F(49, 1000), '.1f', '0.0'), + (F(51, 1000), '.1f', '0.1'), + (F(149, 1000), '.1f', '0.1'), + (F(151, 1000), '.1f', '0.2'), + ] + for fraction, spec, expected in testcases: + with self.subTest(fraction=fraction, spec=spec): + self.assertEqual(format(fraction, spec), expected) + + def test_format_g_presentation_type(self): + # Triples (fraction, specification, expected_result) + testcases = [ + (F('0.000012345678'), '.6g', '1.23457e-05'), + (F('0.00012345678'), '.6g', '0.000123457'), + (F('0.0012345678'), '.6g', '0.00123457'), + (F('0.012345678'), '.6g', '0.0123457'), + (F('0.12345678'), '.6g', '0.123457'), + (F('1.2345678'), '.6g', '1.23457'), + (F('12.345678'), '.6g', '12.3457'), + (F('123.45678'), '.6g', '123.457'), + (F('1234.5678'), '.6g', '1234.57'), + (F('12345.678'), '.6g', '12345.7'), + (F('123456.78'), '.6g', '123457'), + (F('1234567.8'), '.6g', '1.23457e+06'), + # Rounding up cases + (F('9.99999e+2'), '.4g', '1000'), + (F('9.99999e-8'), '.4g', '1e-07'), + (F('9.99999e+8'), '.4g', '1e+09'), + # Check round-ties-to-even behaviour + (F('-0.115'), '.2g', '-0.12'), + (F('-0.125'), '.2g', '-0.12'), + (F('-0.135'), '.2g', '-0.14'), + (F('-0.145'), '.2g', '-0.14'), + (F('0.115'), '.2g', '0.12'), + (F('0.125'), '.2g', '0.12'), + (F('0.135'), '.2g', '0.14'), + (F('0.145'), '.2g', '0.14'), + # Trailing zeros and decimal point suppressed by default ... + (F(0), '.6g', '0'), + (F('123.400'), '.6g', '123.4'), + (F('123.000'), '.6g', '123'), + (F('120.000'), '.6g', '120'), + (F('12000000'), '.6g', '1.2e+07'), + # ... but not when alternate form is in effect + (F(0), '#.6g', '0.00000'), + (F('123.400'), '#.6g', '123.400'), + (F('123.000'), '#.6g', '123.000'), + (F('120.000'), '#.6g', '120.000'), + (F('12000000'), '#.6g', '1.20000e+07'), + # 'G' format (uses 'E' instead of 'e' for the exponent indicator) + (F('123.45678'), '.6G', '123.457'), + (F('1234567.8'), '.6G', '1.23457E+06'), + # Default precision is 6 significant figures + (F('3.1415926535'), 'g', '3.14159'), + # Precision 0 is treated the same as precision 1. + (F('0.000031415'), '.0g', '3e-05'), + (F('0.00031415'), '.0g', '0.0003'), + (F('0.31415'), '.0g', '0.3'), + (F('3.1415'), '.0g', '3'), + (F('3.1415'), '#.0g', '3.'), + (F('31.415'), '.0g', '3e+01'), + (F('31.415'), '#.0g', '3.e+01'), + (F('0.000031415'), '.1g', '3e-05'), + (F('0.00031415'), '.1g', '0.0003'), + (F('0.31415'), '.1g', '0.3'), + (F('3.1415'), '.1g', '3'), + (F('3.1415'), '#.1g', '3.'), + (F('31.415'), '.1g', '3e+01'), + # Thousands separator + (F(2**64), '_.25g', '18_446_744_073_709_551_616'), + # As with 'e' format, z flag is legal, but has no effect + (F(-1, 7**100), 'zg', '-3.09169e-85'), + ] + for fraction, spec, expected in testcases: + with self.subTest(fraction=fraction, spec=spec): + self.assertEqual(format(fraction, spec), expected) + + def test_invalid_formats(self): + fraction = F(2, 3) + with self.assertRaises(TypeError): + format(fraction, None) + + invalid_specs = [ + 'Q6f', # regression test + # illegal to use fill or alignment when zero padding + 'X>010f', + 'X<010f', + 'X^010f', + 'X=010f', + '0>010f', + '0<010f', + '0^010f', + '0=010f', + '>010f', + '<010f', + '^010f', + '=010e', + '=010f', + '=010g', + '=010%', + '>00.2f', + '>00f', + # Too many zeros - minimum width should not have leading zeros + '006f', + # Leading zeros in precision + '.010f', + '.02f', + '.000f', + # Missing precision + '.e', + '.f', + '.g', + '.%', + # Z instead of z for negative zero suppression + 'Z.2f' + ] + for spec in invalid_specs: + with self.subTest(spec=spec): + with self.assertRaises(ValueError): + format(fraction, spec) + if __name__ == '__main__': unittest.main() diff --git a/Misc/NEWS.d/next/Library/2022-12-10-15-30-17.gh-issue-67790.P9YUZM.rst b/Misc/NEWS.d/next/Library/2022-12-10-15-30-17.gh-issue-67790.P9YUZM.rst new file mode 100644 index 00000000000000..ba0db774f8b318 --- /dev/null +++ b/Misc/NEWS.d/next/Library/2022-12-10-15-30-17.gh-issue-67790.P9YUZM.rst @@ -0,0 +1,2 @@ +Add float-style formatting support for :class:`fractions.Fraction` +instances. pFad - Phonifier reborn

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