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::
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
'''
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.
)
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]
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())