Rational trigonometry
 

"Rational trigonometry replaces sines, cosines, tangents and a host of other trigonometric functions with elementary arithmetic."

News item here

New trigonometry is a sign of the times

Chapter 1 PDF

Re: Rational trigonometry
 

YAY! No more impossible trigonometric equations for me! :D

Re: Rational trigonometry
 

sounds very interesting... I'm gonna look into that, i think... haven't finished reading the first chapter yet, but I'll write something when i have

Re: Rational trigonometry
 

Wish I could've had this 4 years ago.

Re: Rational trigonometry
 

I'm going to print chapter one out and read it too.

I am wondering if the new methods will help simplifiy some of the bot programming we're doing.

Re: Rational trigonometry
 

Link doesn't work?

Re: Rational trigonometry
 

Trig was actually easy for me. It does make sense to use length squared, though, then use square root at the end.

Re: Rational trigonometry
 

Zacker, both links work. For the Chapter 1 link, you need a PDF reader such as Adobe Acrobat.

Re: Rational trigonometry
 

Site was posted on Slashdot...so maybe it was down because of that.

Re: Rational trigonometry
 

Well I've read the basic theory now... and i must say i can see the point in this...

The basic calculations do become a little harder to do, i think... but it is so much more straightforward and logical... i mean, it's pretty logical that a 45degree angle has a spread of 1/2 instead of 45... 45 only makes sense in a 60digit number system (i don't know the word but i hope you know what i mean)

So alltogether I think this is very neat. It doesn't revolutionize anything though... cause you still have this weird 'spread' thing to deal with, instead of angles, and while the spread thing can be calculated pretty straightforward, it's still a fairly confusing thing before you get used to it... so to say this will make trigonometry a lot easier would be a lie...

Re: Rational trigonometry
 

It seems that spread is just the sine of an angle squared.

Re: Rational trigonometry
 

I had proggie some time ago. Lots o'moving objects so it was awfully slow. It was quite obvious to me to get rid of sqrt in func's that dealed with distance-relativety (FindClosest ...). But still, when you need distance (not relative but precise), its greeks way or the highway.

Spread is good in terms of math, nice in optimize stage, probably. But there is no simple or obvious representation of it.

Overall, interesting... how da hell all that high-math would look after this...

Re: Rational trigonometry
 

In some cases you can't use lengthsquared or it jacks up the results, like A*. Most other cases its fine, closest obj, check range of target vs sqrange of weapon or whatever.

Re: Rational trigonometry
 

Read the intro.
Makes sense.
Reading the 1st chapter... this thing is really getting me curious about that guy's way of doing math!