Java-Gaming.org Hi !
 Featured games (83) games approved by the League of Dukes Games in Showcase (538) Games in Android Showcase (132) games submitted by our members Games in WIP (600) games currently in development
 News: Read the Java Gaming Resources, or peek at the official Java tutorials
 Home Help Search Login Register
Pages: [1]
 ignore  |  Print
 [Scala] Finding the intersect of functions  (Read 413 times) 0 Members and 1 Guest are viewing this topic.
saucymeatman
 « Posted 2014-04-07 02:29:20 »

Ok,before someone reminds me that this is JavaGaming.org and not ScalaGaming.org Scala still runs on the JAVA virtual machine, so take that!

Lets say we have two anonymous functions (or lambdas) :
 1  2 `val f1 = (x:Int) => x-1val f2 = (x:Int) => -x+1`

How do we find the value of x that will result in the same output?

So the method signature would look somthing like this :
 1  2 `type Function = Int => Intdef intercept(a:Function, b:Function):Int = ????????`
Riven
« League of Dukes »

« JGO Overlord »

Medals: 840
Projects: 4
Exp: 16 years

 « Reply #1 - Posted 2014-04-07 05:34:53 »

This is math problem.

Each function results in a straight line. Just find the intersection-point, if any.

Hi, appreciate more people! Σ ♥ = ¾
Learn how to award medals... and work your way up the social
Roquen
 « Reply #2 - Posted 2014-04-07 08:42:35 »

{x->1}...can scala do exp rewritting?
 Games published by our own members! Check 'em out!
Danny02
 « Reply #3 - Posted 2014-04-07 08:50:09 »

Let's say that you don't know anything about these functions (linear, quadratic whatever). You can than do a numerical approximation, most of the time in an iterative fashion.
The most common method was invented by Newton.

So you would subtract one of the function from the over and then with the help of the above method approximated the intersection point.
Roquen
 « Reply #4 - Posted 2014-04-07 08:51:25 »

How do you automatically get the derivate? (Or can scala replace types so you can use dual numbers?)
Danny02
 « Reply #5 - Posted 2014-04-07 08:53:05 »

dunno, calculate the tangent yourself with a small sample size.

ps: you can probably write a solver macro to do all the hard work at compile time
Roquen
 « Reply #6 - Posted 2014-04-07 08:54:37 »

The example isn't really clear...like is the field of integers only of interest?  Wait scratch that...what do you really want to do?
saucymeatman
 « Reply #7 - Posted 2014-04-07 10:56:40 »

Let's say that you don't know anything about these functions (linear, quadratic whatever).Newton.
This is what I meant sorry.
Ill look into this method.
Pages: [1]
 ignore  |  Print

You cannot reply to this message, because it is very, very old.

 Add your game by posting it in the WIP section, or publish it in Showcase. The first screenshot will be displayed as a thumbnail.
 rwatson462 (28 views) 2014-12-15 09:26:44 Mr.CodeIt (19 views) 2014-12-14 19:50:38 BurntPizza (37 views) 2014-12-09 22:41:13 BurntPizza (73 views) 2014-12-08 04:46:31 JscottyBieshaar (34 views) 2014-12-05 12:39:02 SHC (46 views) 2014-12-03 16:27:13 CopyableCougar4 (42 views) 2014-11-29 21:32:03 toopeicgaming1999 (110 views) 2014-11-26 15:22:04 toopeicgaming1999 (96 views) 2014-11-26 15:20:36 toopeicgaming1999 (29 views) 2014-11-26 15:20:08
 LiquidNitrogen 33x basil_ 31x HeroesGraveDev 28x Rayvolution 27x BurntPizza 19x appel 17x kevglass 16x kpars 14x gouessej 13x KevinWorkman 13x Gibbo3771 13x Riven 13x Ecumene 11x NegativeZero 11x Spasi 11x SHC 10x
 Understanding relations between setOrigin, setScale and setPosition in libGdx2014-10-09 22:35:00Definite guide to supporting multiple device resolutions on Android (2014)2014-10-02 22:36:02List of Learning Resources2014-08-16 10:40:00List of Learning Resources2014-08-05 19:33:27Resources for WIP games2014-08-01 16:20:17Resources for WIP games2014-08-01 16:19:50List of Learning Resources2014-07-31 16:29:50List of Learning Resources2014-07-31 16:26:06
 java-gaming.org is not responsible for the content posted by its members, including references to external websites, and other references that may or may not have a relation with our primarily gaming and game production oriented community. inquiries and complaints can be sent via email to the info‑account of the company managing the website of java‑gaming.org