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authorRaymond Hettinger <python@rcn.com>2010-04-02 16:58:27 (GMT)
committerRaymond Hettinger <python@rcn.com>2010-04-02 16:58:27 (GMT)
commit967985989031ecfa1dab7dd4dc757d6d33c47157 (patch)
tree198889b00fedd199dc75467d32b92501e7c8b5af
parent63b4355c75d51ef3133464ae04adb94c5be9047a (diff)
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Issue 8257: Decimal constructor to accept float argument.
-rw-r--r--Doc/library/decimal.rst35
-rw-r--r--Lib/decimal.py8
-rw-r--r--Lib/test/test_decimal.py26
3 files changed, 41 insertions, 28 deletions
diff --git a/Doc/library/decimal.rst b/Doc/library/decimal.rst
index d10f375..9d6ad81 100644
--- a/Doc/library/decimal.rst
+++ b/Doc/library/decimal.rst
@@ -308,7 +308,7 @@ 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::
@@ -334,6 +334,11 @@ 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
@@ -1824,36 +1829,14 @@ value unchanged:
Q. Is there a way to convert a regular float to a :class:`Decimal`?
A. Yes, all binary floating point numbers can be exactly expressed as a
-Decimal. An exact conversion may take more precision than intuition would
-suggest, so we trap :const:`Inexact` to signal a need for more precision:
-
-.. testcode::
-
- def float_to_decimal(f):
- "Convert a floating point number to a Decimal with no loss of information"
- n, d = f.as_integer_ratio()
- with localcontext() as ctx:
- ctx.traps[Inexact] = True
- while True:
- try:
- return Decimal(n) / Decimal(d)
- except Inexact:
- ctx.prec += 1
+Decimal though an exact conversion may take more precision than intuition would
+suggest:
.. doctest::
- >>> float_to_decimal(math.pi)
+ >>> Decimal(math.pi)
Decimal('3.141592653589793115997963468544185161590576171875')
-Q. Why isn't the :func:`float_to_decimal` routine included in the module?
-
-A. 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:
-
- >>> float_to_decimal(1.1)
- Decimal('1.100000000000000088817841970012523233890533447265625')
-
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 370eb82..ab38ed4 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 360a5e8..51bdf9c 100644
--- a/Lib/test/test_decimal.py
+++ b/Lib/test/test_decimal.py
@@ -52,6 +52,11 @@ 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]
@@ -504,6 +509,27 @@ 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())