Add fixed-point examples to the decimal FAQ

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Raymond Hettinger 2008-02-14 10:46:57 +00:00
parent 1b5632445b
commit 4631481dfd
1 changed files with 30 additions and 3 deletions

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@ -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
throughout an application?
A. Some operations like addition and subtraction automatically preserve fixed
point. Others, like multiplication and division, change the number of decimal
places and need to be followed-up with a :meth:`quantize` step.
A. Some operations like addition, subtraction, and multiplication by an integer
will automatically preserve fixed point. Others operations, like division and
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`,
:const:`200.000`, :const:`2E2`, and :const:`.02E+4` all have the same value at