The most compact algorithm for Simpson's rule??
12-12-2015, 09:44 PM (This post was last modified: 12-12-2015 09:44 PM by Dieter.)
Post: #7
 Dieter Senior Member Posts: 2,397 Joined: Dec 2013
RE: The most compact algorithm for Simpson's rule??
(12-12-2015 05:44 PM)Thomas Klemm Wrote:
(12-12-2015 04:24 PM)Namir Wrote:
Code:
Loop Until B<A

This should be something like $$A\approx B$$ or else you may end up with $$A=B+h$$.

Yes, the exact condition would be A=B, but this cannot be used since roundoff errors can and will occur.
A usable exit condition could be
Code:
Loop Until a > b - h / 2

At least as long as h >> ULP(b)...

(12-12-2015 05:44 PM)Thomas Klemm Wrote:  I'd probably use $$N$$ instead to control the loop.

Definitely, yes.

Dieter
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 Messages In This Thread The most compact algorithm for Simpson's rule?? - Namir - 12-12-2015, 04:24 PM RE: The most compact algorithm for Simpson's rule?? - Thomas Klemm - 12-12-2015, 05:44 PM RE: The most compact algorithm for Simpson's rule?? - Namir - 12-12-2015, 08:29 PM RE: The most compact algorithm for Simpson's rule?? - Dieter - 12-12-2015, 09:16 PM RE: The most compact algorithm for Simpson's rule?? - Dieter - 12-12-2015 09:44 PM RE: The most compact algorithm for Simpson's rule?? - Namir - 12-12-2015, 08:28 PM RE: The most compact algorithm for Simpson's rule?? - Dieter - 12-12-2015, 09:05 PM RE: The most compact algorithm for Simpson's rule?? - Namir - 12-12-2015, 10:54 PM RE: The most compact algorithm for Simpson's rule?? - Namir - 12-12-2015, 11:02 PM RE: The most compact algorithm for Simpson's rule?? - Dieter - 12-14-2015, 09:04 PM RE: The most compact algorithm for Simpson's rule?? - Namir - 12-15-2015, 12:09 AM RE: The most compact algorithm for Simpson's rule?? - Dieter - 12-15-2015, 07:12 AM RE: The most compact algorithm for Simpson's rule?? - Namir - 12-13-2015, 01:52 AM RE: The most compact algorithm for Simpson's rule?? - Dieter - 12-13-2015, 01:27 PM RE: The most compact algorithm for Simpson's rule?? - Namir - 12-16-2015, 12:57 AM RE: The most compact algorithm for Simpson's rule?? - Dieter - 12-16-2015, 01:25 PM RE: The most compact algorithm for Simpson's rule?? - Namir - 12-16-2015, 01:54 PM

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