On Jan 20, 2008 5:54 PM, Tim Peters [EMAIL PROTECTED] wrote:
What would be useful is a method that generates (i.e., a generator in
the Python sense) the (continued fraction) convergents to a rational.
People wanting specific constraints on a rational approximation
(including, but not limited
On 21/01/2008, Tim Peters [EMAIL PROTECTED] wrote:
What would be useful is a method that generates (i.e., a generator in
the Python sense) the (continued fraction) convergents to a rational.
People wanting specific constraints on a rational approximation
(including, but not limited to, the two
On Jan 21, 2008 3:44 AM, Paul Moore [EMAIL PROTECTED] wrote:
On 21/01/2008, Tim Peters [EMAIL PROTECTED] wrote: By useful I
don't mean lots of people will use it ;-) I mean /some/
people will use it -- a way to generate the sequence of convergents is
a fundamental tool that can be used for
On 19/01/2008, Jeffrey Yasskin [EMAIL PROTECTED] wrote:
The first returns the closest rational whose denominator is less than
a given integer.
[...]
The second returns the simplest rational within some distance.
Both of these are likely to be of limited use. The most common usage I
know of is
On 1/20/08, Paul Moore [EMAIL PROTECTED] wrote:
Both of these are likely to be of limited use. The most common usage I
know of is to make a sensible rational from a float (i.e., a DWIM
style conversion 0.1 - 1/10) or to provide readable output. On the
other hand, both are subtle to implement,
What would be useful is a method that generates (i.e., a generator in
the Python sense) the (continued fraction) convergents to a rational.
People wanting specific constraints on a rational approximation
(including, but not limited to, the two you identified) can easily
build them on top of such a
In the Rational class that I've recently checked into Python 2.6
(http://bugs.python.org/issue1682), it might be nice to provide a
method that, given a particular rational number, returns a nearby
number that's nicer in some way. I know of two reasonable behaviors
for this operation. Since I don't
Jeffrey Yasskin wrote:
The second returns the simplest rational within some distance. For
instance, it'll prefer 22/7 over 333/106 if both are close enough. We
might call it .simplest_within() for now. This seems useful for
converting from float and displaying results to users, where we prefer
On Jan 19, 2008 3:06 PM, Jeffrey Yasskin [EMAIL PROTECTED] wrote:
In the Rational class that I've recently checked into Python 2.6
(http://bugs.python.org/issue1682), it might be nice to provide a
method that, given a particular rational number, returns a nearby
number that's nicer in some
