From: Raymond Hettinger Date: Fri, 2 Apr 2010 18:39:24 +0000 (+0000) Subject: Issue 8257: Decimal constructor to accept float. X-Git-Tag: v2.7b1~138 X-Git-Url: https://granicus.if.org/sourcecode?a=commitdiff_plain;h=ed171abd93c7a507cb26339aa2d68a7e980378f6;p=python Issue 8257: Decimal constructor to accept float. --- diff --git a/Doc/library/decimal.rst b/Doc/library/decimal.rst index 7c03b6a47c..6addd48321 100644 --- a/Doc/library/decimal.rst +++ b/Doc/library/decimal.rst @@ -314,7 +314,7 @@ Decimal objects Construct a new :class:`Decimal` object based from *value*. - *value* can be an integer, string, tuple, or another :class:`Decimal` + *value* can be an integer, string, tuple, :class:`float`, or another :class:`Decimal` object. If no *value* is given, returns ``Decimal('0')``. If *value* is a string, it should conform to the decimal numeric string syntax after leading and trailing whitespace characters are removed:: @@ -341,6 +341,11 @@ Decimal objects digits, and an integer exponent. For example, ``Decimal((0, (1, 4, 1, 4), -3))`` returns ``Decimal('1.414')``. + If *value* is a :class:`float`, the binary floating point value is losslessly + converted to its exact decimal equivalent. This conversion can often require + upto 53 digits of precision. For example, ``Decimal(float('1.1'))`` converts + to ``Decimal('1.100000000000000088817841970012523233890533447265625')``. + The *context* precision does not affect how many digits are stored. That is determined exclusively by the number of digits in *value*. For example, ``Decimal('3.00000')`` records all five zeros even if the context precision is @@ -1948,17 +1953,16 @@ value unchanged:: ''' return d.quantize(Decimal(1)) if d == d.to_integral() else d.normalize() -Q. Is there a way to convert a regular float to a Decimal? +Q. Is there a way to convert a regular float to a :class:`Decimal`? -A. Yes, the classmethod :meth:`from_float` makes an exact conversion. +A. Yes, all binary floating point numbers can be exactly expressed as a +Decimal though an exact conversion may take more precision than intuition would +suggest: -The regular decimal constructor does not do this by default because there is -some question about whether it is advisable to mix binary and decimal floating -point. Also, its use requires some care to avoid the representation issues -associated with binary floating point: +.. doctest:: - >>> Decimal.from_float(1.1) - Decimal('1.100000000000000088817841970012523233890533447265625') + >>> Decimal(math.pi) + Decimal('3.141592653589793115997963468544185161590576171875') Q. Within a complex calculation, how can I make sure that I haven't gotten a spurious result because of insufficient precision or rounding anomalies. diff --git a/Lib/decimal.py b/Lib/decimal.py index 34463aefa4..80ef20d1ff 100644 --- a/Lib/decimal.py +++ b/Lib/decimal.py @@ -648,8 +648,12 @@ class Decimal(object): return self if isinstance(value, float): - raise TypeError("Cannot convert float in Decimal constructor. " - "Use from_float class method.") + value = Decimal.from_float(value) + self._exp = value._exp + self._sign = value._sign + self._int = value._int + self._is_special = value._is_special + return self raise TypeError("Cannot convert %r to Decimal" % value) diff --git a/Lib/test/test_decimal.py b/Lib/test/test_decimal.py index 19fb9dadc4..3a04bf3bb0 100644 --- a/Lib/test/test_decimal.py +++ b/Lib/test/test_decimal.py @@ -54,6 +54,11 @@ def init(): ) setcontext(DefaultTestContext) +# decorator for skipping tests on non-IEEE 754 platforms +requires_IEEE_754 = unittest.skipUnless( + float.__getformat__("double").startswith("IEEE"), + "test requires IEEE 754 doubles") + TESTDATADIR = 'decimaltestdata' if __name__ == '__main__': file = sys.argv[0] @@ -509,6 +514,27 @@ class DecimalExplicitConstructionTest(unittest.TestCase): self.assertEqual(str(e), '0') self.assertNotEqual(id(d), id(e)) + @requires_IEEE_754 + def test_explicit_from_float(self): + r = Decimal(0.1) + self.assertEqual(type(r), Decimal) + self.assertEqual(str(r), + '0.1000000000000000055511151231257827021181583404541015625') + self.assertTrue(Decimal(float('nan')).is_qnan()) + self.assertTrue(Decimal(float('inf')).is_infinite()) + self.assertTrue(Decimal(float('-inf')).is_infinite()) + self.assertEqual(str(Decimal(float('nan'))), + str(Decimal('NaN'))) + self.assertEqual(str(Decimal(float('inf'))), + str(Decimal('Infinity'))) + self.assertEqual(str(Decimal(float('-inf'))), + str(Decimal('-Infinity'))) + self.assertEqual(str(Decimal(float('-0.0'))), + str(Decimal('-0'))) + for i in range(200): + x = random.expovariate(0.01) * (random.random() * 2.0 - 1.0) + self.assertEqual(x, float(Decimal(x))) # roundtrip + def test_explicit_context_create_decimal(self): nc = copy.copy(getcontext())