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 limi
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
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, th
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
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 imp
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
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 so
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 pre
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
