The most compact algorithm for Simpson's rule??
12-14-2015, 09:04 PM
Post: #12
 Dieter Senior Member Posts: 2,397 Joined: Dec 2013
RE: The most compact algorithm for Simpson's rule??
(12-12-2015 11:02 PM)Namir Wrote:  This is a slightly different version based on one of Dieter's remarks.

Code:
h=(B-A)/N Sum=f(A)-f(B) k=4 A=A+h Do   Sum = Sum + k*f(A)   k=6-k   A=A+h   N=N-1 Loop Until N=0 Area=h/3*Sum

I still don't get why you want to compute f(b) twice and generate an additional function call that is not required. Why don't you do it the classic way?

Code:
h = (b - a) / n sum = f(a) + f(b) k = 4 Do   a = a + h   sum = sum + k * f(a)   k = 6 - k   n = n - 1 Loop Until n = 1 result = sum * h / 3

If you want to count down to n=0 simply add another n=n-1 on top of the do loop.

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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