Print Page - Continuous Boxtiling Function (Accordion+cycleshift)

  Cool for animations.

  It's continuous, so it should blend well with a variety of static (non-animated) fractals.

  Set cycleshift=0 for a component (x, y, or z) if you want to skip some calculations (don't want to use it for an axis- 0 cycleshift skips calculations on that axis).

  There are 2 versions, one is an xyz all in one function, and one has them split up. They are called Accordion_cycleshift and xyz_Accordion_cycleshift... the xyz_cycleshift thing lets you shift all cycles at once. :D

  https://drive.google.com/open?id=0B0EcJQ49B_yObGlXbVk4SURRdmc

  (http://i.giphy.com/l0HlD9NLuDuBbnbHi.gif)

(http://i.giphy.com/3oz8xZ3aopPvJBsveg.gif)

I want to write a more symmetric version (reflected along an axis) so it can be used with polyfolds and stuff, but it's based on the following code (which is only for the x-axis!):

uniform list (floats): AccCycle, CycleShift, AccEnd, AccStart

Code:

float Accordion (inout vec3 z) {
		float zx=z.x;
		float cycle=abs(AccCycle);
		if (cycle<.06) {cycle=.06;}
		float i=1.0;						//why did he use a float here?  :p
		float cycleshift=abs(mod(CycleShift,abs(AccCycle)));
		float cyclemod= (mod(abs(AccEnd-AccStart),AccCycle));
		cyclemod=mod(cycle+cyclemod-cycleshift,cycle);
		if ((cycle)>abs(AccEnd-AccStart)) {cycle=abs(AccEnd-AccStart);}
		float rotdir=1.0;
	if (AccEnd-AccStart<0.0) {
			cycle=-cycle;
			cyclemod=-abs(cyclemod);
			cycleshift=-abs(cycleshift);
			if (zx>AccStart) {
				// do nothing
			}	else if (zx<AccStart && zx>(AccStart+cycleshift)) {
				//first cycle!!! 
				zx=zx-(AccStart);
					if (zx<(cycleshift/2.)) {
						zx=cycleshift-zx+AccStart;
					} else {zx+=AccStart;}
				//done
			} 
			 else if (zx<(AccStart) && zx>(AccEnd-cyclemod)){
				zx=zx-AccStart-cycleshift;
				//i+=1.0;
				rotdir*=-1;
				while (zx<(cycle) && i<3000.0) {
					zx-=cycle;i+=1.0;rotdir*=-1;
				}
					if (zx<(cycle/2.)) {
						zx=cycle-zx+AccStart;//rotdir*=-1;
					} else {zx+=AccStart;}
				//done
			} 
			 else if (zx<(AccEnd- cyclemod)  && zx>AccEnd) {
				zx=AccEnd-zx;
				if (zx<cyclemod/2.0) {
					zx=cyclemod-zx+AccStart;
				} else {
					zx=zx+AccStart;
				}
			}  
			 else if (zx<AccEnd) {
				zx=zx-AccEnd+AccStart;
			}
		} else {    //pos section   AccEnd-AccStart >0
			cycle=abs(cycle);
			cyclemod=abs(cyclemod);
			cycleshift=abs(cycleshift);
			if (zx<AccStart) {
				// do nothing
			} else if (zx>AccStart  && zx<AccStart+cycleshift) {
				//first cycle!!! 
				zx=zx-AccStart;  
				if (zx>cycleshift/2.) {
					zx=cycleshift-zx+AccStart;
				} else {
					zx+=AccStart;
				}

			} else if (zx>(AccStart) && zx<(AccEnd-cyclemod)){
				zx=zx-AccStart-cycleshift; //i+=1.0;
				rotdir*=-1;
				while (zx>(cycle) && i<3000.0) {
					zx-=cycle;i+=1.0;rotdir*=-1;
				}
					if (zx>(cycle/2.)) {
						zx=cycle-zx+AccStart;//rotdir*=-1;
					} else {zx+=AccStart;}
				//done
			}
		
			 else if (zx>(AccEnd- cyclemod)  && zx<AccEnd) {
				zx=AccEnd-zx;
				if (zx>cyclemod/2.0) {
					zx=cyclemod-zx+AccStart;
				} else {
					zx=zx+AccStart;
				}
				//i+=floor((AccEnd-cyclemod-AccStart)/cycle)+1.0;
			}  
			 else if (zx>AccEnd) {
				zx=zx-AccEnd+AccStart;
				//i+=floor((AccEnd-cyclemod-AccStart)/cycle)+2.0;
			}
		}
	
	z.x=zx;


		
	return z;
}

This version starts at a point you pick (AccStart), then cycles (up towards the midpoint of a cycle then back down to the beginning of the cycle if you're going in a positive direction, down towards the midpoint then back up to the beginning of the cycle if you're going in a negative direction) until you reach the end. The cycle shift shifts the location of the cycles, so you can introduce movement, or change something around a bit.

I'd like to make a similar function centered at a point along an axis for a symmetric version (extends out from a central point)... need to draw it on a piece of paper before I start coding I think.

(http://i.giphy.com/l0MYEzjjkEg67pwvm.gif)

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Fractal Software => Mandelbulb 3d => Topic started by: M Benesi on December 17, 2016, 01:00:33 AM