I want to create a finite (but large-ish) sequence of symbolic functions f_0(x), f_1(x), etc. (up to, say, f_1000(x)). I can do this for any one function by typing something like: f_4 = function('f_4', nargs=1) Short of doing this 1000 times, how can I do this? (For various reasons, I prefer having the subscript be part of the function's name rather than as a second variable.)
Usually my preferred way to do something like this is use a string formatting substitution. There may be an open ticket for making such things easier, but for now I'd do
sage: for k in range(1001):
function('f_%s'%k,nargs=1)
The percent signs are telling you to append a string, and that the string will the string from the int k, respectively.
I don't think you have to use the f=function('f') syntax in this case; someone correct me if that's not true.
It's good to know the exec function - a powerful tool for "code generation":
sage: for k in range(1001):
....: exec("f_%d = lambda x:sin(%d*x)"%(k,k))
....:
sage: f_11(2)
sin(22)
I don't know what are the risks of using it (sometimes with great power comes great nagging about "bad programming habits", the most famous example is 'goto' commands).
"exec" also has a less powerful brother "eval", which does not help for your needs, but is also good to know (being less powerful he is probably less dangerous).
Glad to help. I found a post about these matters: http://lucumr.pocoo.org/2011/2/1/exec-in-python/
Asked: 2011-09-07 23:10:58 +0100
Seen: 601 times
Last updated: Sep 10 '11
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
