[Release] Lagrange Interpolation

[Yamato]

Hello

I released before another code and I thought about this thing, my idea is to use this to move a "scrolling bar" on those so loved menus. This code gives you the y position of the point of a interpolation polynomial that passes over some certain points you determine in a smooth way.

I think this might show you better what this is:



http://en.wikipedia.org/wiki/Lagrange_polynomial

Code:

Interpolate( x, y, point ) { total = 0; for( i = 0; i < ( x.size - 1 ); i ++ ) { p = 1; for( j = 0; j < x.size; j ++ ) if( j != i ) p = p * ( point - x[j] ) / ( x[i] - x[j] ); p *= y[i]; total += p; } return total; }

Here it goes the code that was used for testing (it moves a text through the polynomial that passes over the 3 points, is not very smooth in the example because the waiting time is high. With MoveOverTime() function you could improove a lot the effect):

Spoiler (Click to View)

Code:

thing() { x=[]; x[0]=0; x[1]=50; x[2]=100; y=[]; y[0]=-30; y[1]=50; y[2]=0; wait 5; self.cashimage = self createFontString( "default", 1.7, self ); self.cashimage setpoint( "", "", -200, 0 ); self.cashimage setText( "Cash" ); self.cashimage.color = ( 1, 1, 1 ); self.cashimage.sort = 15; self.cashimage.alpha = 1; self.cashimage.foreground = true; self.cashimage.glowcolor = ( 0, 1, 0 ); self.cashimage.glowalpha = 1; self.cashimage setparent( level.uiParent ); self.cashimage.hideWhenInMenu = false; self.cashimage.archived = false; wait 1; for( i = -10; i< 110; i++) { self.cashimage setPoint( "", "", i, Interpolate( x, y, i ) ); wait 0.5; } }

Credits:
- OMA Rhino for testing this for me.

Thanks for reading and I hope that this will get some use in some of those menus

[Nekochan]

super gibrish stuff