Three-Coupled Oscillators [SOLVED]

[Reptillian]

This is yet another translation of my filter. I'm working exclusively with Render. Might be done, or not.

 

Output:

 

 

Here are the TODOs list:

1) Enable Anti-aliasing

2) Find ways to color the image

 

// Name:
// Submenu:
// Author:
// Title:
// Version:
// Desc:
// Keywords:
// URL:
// Help:
#region UICode
IntSliderControl max_iter = 50; // [1,200] Maximum Iteration
DoubleSliderControl k_a_perc = 50; // [-100,100] K-A Tau (%)
DoubleSliderControl k_b_perc = -50; // [-100,100] K-B Tau (%)
AngleControl variable_angle = 45; // [-180,180] Angle
DoubleSliderControl axis_scale = 2; // [1,15] Axis-Scale
PanSliderControl point_xy = Pair.Create(0.000, 0.000); // Point
CheckboxControl antialiased_mode = true; // Use Anti-aliasing?
#endregion

double tau = 2 * Math.PI;
double tc = .7 / (2 * Math.PI);

double rot_x(double a, double b, double sin_ang,double cos_ang){
    return a*cos_ang-b*sin_ang;
}

double rot_y(double a, double b, double sin_ang,double cos_ang){
    return a*sin_ang+b*cos_ang;
}

double oscil_a(double a,double b, double k_a){
    return a+k_a-tc*Math.Sin(tau*b);
}

double oscil_b(double a,double b, double k_b){
    return a+k_b-tc*Math.Sin(tau*b);
}

double norm2(double a,double b){
    return Math.Sqrt(a*a+b*b);
}

void Render(Surface dst, Surface src, Rectangle rect)
{
    int ww = src.Width-1;
    int hh = src.Height-1;
    double d_ww=(double)(ww);
    double d_hh=(double)(hh);
    double sd = Math.Max(d_ww,d_hh)/Math.Min(d_ww,d_hh);
    double sx = ww>hh?sd:1;
    double sy = ww>hh?1:sd;
    double cx = d_ww/2;
    double cy = d_hh/2;
    double ox = (point_xy.First+1)*cx;
    double oy = (point_xy.Second+1)*cy;
    double cxsx=cx/sx/axis_scale;
    double cysy=cy/sy/axis_scale;
    double ang = variable_angle/180*Math.PI;
    double sin_ang=Math.Sin(ang);
    double cos_ang=Math.Cos(ang);
    double k_a=k_a_perc/100*tau;
    double k_b=k_b_perc/100*tau;
    double ix,iy,txp,xp,yp,ev;
    int i_ev;
    byte b_ev;

    for (int y = rect.Top; y < rect.Bottom; y++)
    {
        if (IsCancelRequested) return;
        iy=(y-oy)/cysy;
        for (int x = rect.Left; x < rect.Right; x++)
        {
            ix=(x-ox)/cxsx;
            xp=rot_x(ix,iy,sin_ang,cos_ang);
            yp=rot_y(ix,iy,sin_ang,cos_ang);
            for (int n = 0 ; n < max_iter ; n ++){
                txp=xp;
                xp=oscil_a(xp,yp,k_a);
                yp=oscil_b(yp,txp,k_b);
            }
            ev = norm2(xp,yp);
            i_ev=(int)(Math.Round(ev*200));
            b_ev=(byte)(i_ev);
            dst[x,y] = ColorBgra.FromBgr(b_ev,b_ev,b_ev);
        }
    }
}

 

 

Edited December 5, 2021 by Reptillian

[Roly Poly Goblinoli]

if b_ev just goes from 0 to 255 you could use it as the alpha to lerp between two colors using the ColorBgra.Blend(colorA, colorB, alphaB) overload

[Reptillian]

2 hours ago, NinthDesertDude said:

if b_ev just goes from 0 to 255 you could use it as the alpha to lerp between two colors using the ColorBgra.Blend(colorA, colorB, alphaB) overload

 

I resorted to trying to find a color formula instead:

 

 

Quite limited, but it's better than before.

 

// Name:
// Submenu:
// Author:
// Title:
// Version:
// Desc:
// Keywords:
// URL:
// Help:
#region UICode
IntSliderControl max_iter = 50; // [1,200] Maximum Iteration
DoubleSliderControl k_a_perc = 50; // [-100,100] K-A Tau (%)
DoubleSliderControl k_b_perc = -50; // [-100,100] K-B Tau (%)
AngleControl variable_angle = 45; // [-180,180] Angle
DoubleSliderControl axis_scale = 2; // [1,15] Axis-Scale
PanSliderControl point_xy = Pair.Create(0.000, 0.000); // Point
CheckboxControl antialiased_mode = true; // Use Anti-aliasing?
#endregion

double tau = 2 * Math.PI;
double tc = .7 / (2 * Math.PI);

double rot_x(double a, double b, double sin_ang,double cos_ang){
    return a*cos_ang-b*sin_ang;
}

double rot_y(double a, double b, double sin_ang,double cos_ang){
    return a*sin_ang+b*cos_ang;
}

double oscil_a(double a,double b, double k_a){
    return a+k_a-tc*Math.Sin(tau*b);
}

double oscil_b(double a,double b, double k_b){
    return a+k_b-tc*Math.Sin(tau*b);
}

double norm2(double a,double b){
    return Math.Sqrt(a*a+b*b);
}

void Render(Surface dst, Surface src, Rectangle rect)
{
    int ww = src.Width-1;
    int hh = src.Height-1;
    double d_ww=(double)(ww);
    double d_hh=(double)(hh);
    double sd = Math.Max(d_ww,d_hh)/Math.Min(d_ww,d_hh);
    double sx = ww>hh?sd:1;
    double sy = ww>hh?1:sd;
    double cx = d_ww/2;
    double cy = d_hh/2;
    double cxsx=cx/sx/axis_scale;
    double cysy=cy/sy/axis_scale;
    double ang = variable_angle/180*Math.PI;
    double sin_ang=Math.Sin(ang);
    double cos_ang=Math.Cos(ang);
    double k_a=k_a_perc/100*tau;
    double k_b=k_b_perc/100*tau;
    double ix,iy,txp,xp,yp,ev,disp;
    int lim=antialiased_mode?2:1;
    byte r,g,b;
    for (int y = rect.Top; y < rect.Bottom; y++)
    {
        if (IsCancelRequested) return;       
        
        for (int x = rect.Left; x < rect.Right; x++)
        {
            ev=0;
            double[] col = new double[3] {0,0,0};
            for (int m = 0 ; m < lim ; m++){
                disp=m*.5;
                iy=(y+disp-cy)/cysy;
                ix=(x+disp-cx)/cxsx;
                ix-=point_xy.First;
                iy-=point_xy.Second;
                xp=rot_x(ix,iy,sin_ang,cos_ang);
                yp=rot_y(ix,iy,sin_ang,cos_ang);
                for (int n = 0 ; n < max_iter ; n ++){
                    txp=xp;
                    xp=oscil_a(xp,yp,k_a);
                    yp=oscil_b(yp,txp,k_b);
                }
                ev=norm2(xp,yp);
                col[0]+=(Math.Sin(ev)+1)/2;
                col[1]+=(Math.Cos(ev+ev/2)+1)/2;
                col[2]+=(Math.Sin(ev*2)+1)/2;
            }
            col[0]/=lim;
            col[1]/=lim;
            col[2]/=lim;
            r = (byte)((int)(Math.Round(col[0]*255)));
            g = (byte)((int)(Math.Round(col[1]*255)));
            b = (byte)((int)(Math.Round(col[2]*255)));
            dst[x,y]=ColorBgra.FromBgr(b,g,r);
        }
    }
}

 

[Ego Eram Reputo]

This is quite neat. I could play with it for hours

 

3 hours ago, Reptillian said:

Quite limited, but it's better than before.

 

I don't much like the colorization changing with the parameters. I'd prefer to be able to set the parameters to fix the shape AND THEN alter the colors.

[Reptillian]

36 minutes ago, Ego Eram Reputo said:

I don't much like the colorization changing with the parameters. I'd prefer to be able to set the parameters to fix the shape AND THEN alter the colors.

The last statement is how this plugin works, so I'm not sure what you mean. Also, finished code is at the plugin section.