Re: Simple RPN with EXP goes wrong
[email protected] (Tony Mountifield) Tue, 16 Feb 2016 12:12:47 +0000 (UTC)
| Newsgroups | gmane.comp.db.rrdtool.user |
|---|---|
| Organization | Software Insight Ltd., Winchester, UK |
| Message-ID | <[email protected]> |
In article <5820DC553954E44FA1A36C78323AD148A408569D@uxcn10-6.UoA.auckland.ac.nz>, Steve Shipway <[email protected]> wrote: > > Example: 3*x^2 > > I thought this would be in rpn: 3,x,2,EXP,* > > However, rrdtool is complaining "ERROR: RPN final stack size != 1" > > EXP is the reverse of the natural log, sometimes called 'antilog' ; IE, e^X, NOT X squared. It also does not take a second argument as it always uses e (2.71828etc). Thus, your RPN above ens up with two items in the stack (3, and x(e^2)) > > If you want to raise X to the power of Y, then there is no single RPN function to do it. Instead, you need to work through logarithms. > > e^( log(x) + log(y) ) == x * y ( a long way to go about it ) > > e^( log(x) * y ) == x ^ y > > Or, in RPN, > > x,LOG,y,*,EXP > > I agree it would be helpful to have a new command (eg. 'x,y,POW') to do this in a single operation, but nobody has submitted it yet... Of course if you just want the square, replace x^2 with x*x to give 3*x*x: 3,x,DUP,*,* Cheers Tony -- Tony Mountifield Work: [email protected] - http://www.softins.co.uk Play: [email protected] - http://tony.mountifield.org