Kaydet (Commit) 4631481d authored tarafından Raymond Hettinger's avatar Raymond Hettinger

Add fixed-point examples to the decimal FAQ

üst 1b563244
...@@ -1565,9 +1565,36 @@ the :const:`Inexact` trap is set, it is also useful for validation:: ...@@ -1565,9 +1565,36 @@ the :const:`Inexact` trap is set, it is also useful for validation::
Q. Once I have valid two place inputs, how do I maintain that invariant Q. Once I have valid two place inputs, how do I maintain that invariant
throughout an application? throughout an application?
A. Some operations like addition and subtraction automatically preserve fixed A. Some operations like addition, subtraction, and multiplication by an integer
point. Others, like multiplication and division, change the number of decimal will automatically preserve fixed point. Others operations, like division and
places and need to be followed-up with a :meth:`quantize` step. non-integer multiplication, will change the number of decimal places and need to
be followed-up with a :meth:`quantize` step.
>>> a = Decimal('102.72') # Initial fixed-point values
>>> b = Decimal('3.17')
>>> a + b # Addition preserves fixed-point
Decimal('105.89')
>>> a - b
Decimal('99.55')
>>> a * 42 # So does integer multiplication
Decimal('4314.24')
>>> (a * b).quantize(TWOPLACES) # Must quantize non-integer multiplication
Decimal('325.62')
>>> (b / a).quantize(TWOPLACES) # And quantize divisions
Decimal('0.03')
In developing fixed-point applications, it is convenient to define functions
to handle the :meth:`quantize` step::
def mul(x, y, fp=TWOPLACES):
return (x * y).quantize(fp)
def div(x, y, fp=TWOPLACES):
return (x / y).quantize(fp)
>>> mul(a, b) # Automatically preserve fixed-point
Decimal('325.62')
>>> div(b, a)
Decimal('0.03')
Q. There are many ways to express the same value. The numbers :const:`200`, Q. There are many ways to express the same value. The numbers :const:`200`,
:const:`200.000`, :const:`2E2`, and :const:`.02E+4` all have the same value at :const:`200.000`, :const:`2E2`, and :const:`.02E+4` all have the same value at
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