Atan2 Spirals – Whittaker Courtney

Home ยป Custom Variations ยป Atan2 Spirals – Whittaker Courtney
Variation based heavily on atan2 functions. With linears, it can create tiled patterns with spirals or...

Atan2 Spirals - Whittaker Courtney

Variation based heavily on atan2 functions. With linears, it can create tiled patterns with spirals or mobius dragon type effects.

Goes well with the custom variations csc_squared or corners which were designed to work with it. Lots of variables to play with and adjust the pattern.

 

Code (can paste this into custom_wf variation or custom_wf_full)

/*
  JWildfire - an image and animation processor written in Java 
  Copyright (C) 1995-2011 Andreas Maschke
  This is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser 
  General Public License as published by the Free Software Foundation; either version 2.1 of the 
  License, or (at your option) any later version.
 
  This software is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without 
  even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 
  Lesser General Public License for more details.
  You should have received a copy of the GNU Lesser General Public License along with this software; 
  if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA
  02110-1301 USA, or see the FSF site: http://www.fsf.org.
*/
package org.jwildfire.create.tina.variation;

import org.jwildfire.create.tina.base.XForm;
import org.jwildfire.create.tina.base.XYZPoint;
import static org.jwildfire.base.mathlib.MathLib.sin;
import static org.jwildfire.base.mathlib.MathLib.atan2;
import static org.jwildfire.base.mathlib.MathLib.M_PI;
import static org.jwildfire.base.mathlib.MathLib.pow;

public class Atan2_SpiralsFunc extends VariationFunc {
  private static final long serialVersionUID = 1L;
  
  private static final String PARAM_R_MULT = "r mult";
  private static final String PARAM_R_ADD = "r add";
  private static final String PARAM_XY2_MULT = "xy2 mult";
  private static final String PARAM_XY2_ADD = "xy2 add";
  private static final String PARAM_X_MULT = "x mult";
  private static final String PARAM_X_ADD = "x add";
  private static final String PARAM_YX_DIV = "yx div";
  private static final String PARAM_YX_ADD = "yx add";
  private static final String PARAM_YY_DIV = "yy div";
  private static final String PARAM_YY_ADD = "yy add";
  private static final String PARAM_SIN_ADD = "sin add";
  private static final String PARAM_Y_MULT = "y mult";
  private static final String PARAM_R_POWER = "r power";
  private static final String PARAM_X2Y2_POW = "x2y2 power";
    
  private static final String[] paramNames = { PARAM_R_MULT, PARAM_R_ADD, PARAM_XY2_MULT, PARAM_XY2_ADD, PARAM_X_MULT, PARAM_X_ADD, PARAM_YX_DIV, PARAM_YX_ADD, PARAM_YY_DIV, PARAM_YY_ADD, PARAM_SIN_ADD, PARAM_Y_MULT, PARAM_R_POWER, PARAM_X2Y2_POW };
  private double r_mult = 1.5;
  private double r_add = 1;
  private double xy2_mult = 1.125;
  private double xy2_add = 0.132;
  private double x_mult = 2;
  private double x_add = 0.25;
  private double yx_div = 1;
  private double yx_add = 0;
  private double yy_div = 1.25;
  private double yy_add = 0;
  private double sin_add = 0;
  private double y_mult = 1;
  private double r_power = 0.5;
  private double x2y2_pow = 1;
  
  @Override
  public void transform(FlameTransformationContext pContext, XForm pXForm, XYZPoint pAffineTP, XYZPoint pVarTP, double pAmount) {
  //Atan2_Spirals by Whittaker Courtney 8-8-2018
  
  // x,y variables
    double x = pAffineTP.x;
    double y = pAffineTP.y;
    double xs = x * x;
    double ys = y * y;       
    
  // final formulas
    double xy2 = pow(xs + ys, x2y2_pow);
    double r = pow(xs + ys, r_power);
    
    double fx =  x_mult * atan2(r * r_mult + r_add, xy2 * xy2_mult + xy2_add) + x_add;
    double fy = sin(atan2(y/yy_div + yy_add, (x / yx_div) + yx_add) + sin_add)* y_mult;

if(x>=0){
   pVarTP.x += pAmount * (-fx + M_PI);
}
else{
   pVarTP.x += pAmount * (fx - M_PI);
}

   pVarTP.y += pAmount * fy;

   
    if (pContext.isPreserveZCoordinate()) {
  pVarTP.z += pAmount * pAffineTP.z;
}

  }
  
  @Override
  public String[] getParameterNames() {
    return paramNames;
  }

  @Override
  public Object[] getParameterValues() {
    return new Object[] { r_mult, r_add, xy2_mult, xy2_add, x_mult, x_add, yx_div, yx_add, yy_div, yy_add, sin_add, y_mult, r_power, x2y2_pow };
  }

  @Override
  public void setParameter(String pName, double pValue) {
    if (PARAM_R_MULT.equalsIgnoreCase(pName))
      r_mult = pValue;
    else if (PARAM_R_ADD.equalsIgnoreCase(pName))
      r_add = pValue;
    else if (PARAM_XY2_MULT.equalsIgnoreCase(pName))
      xy2_mult = pValue;
    else if (PARAM_XY2_ADD.equalsIgnoreCase(pName))
      xy2_add = pValue;
    else if (PARAM_X_MULT.equalsIgnoreCase(pName))
      x_mult = pValue;
    else if (PARAM_X_ADD.equalsIgnoreCase(pName))
      x_add = pValue;
    else if (PARAM_YX_DIV.equalsIgnoreCase(pName))
      yx_div = pValue;
    else if (PARAM_YX_ADD.equalsIgnoreCase(pName))
      yx_add = pValue;
    else if (PARAM_YY_DIV.equalsIgnoreCase(pName))
      yy_div = pValue;
    else if (PARAM_YY_ADD.equalsIgnoreCase(pName))
      yy_add = pValue;
    else if (PARAM_SIN_ADD.equalsIgnoreCase(pName))
      sin_add = pValue;
    else if (PARAM_Y_MULT.equalsIgnoreCase(pName))
      y_mult = pValue;
    else if (PARAM_R_POWER.equalsIgnoreCase(pName))
      r_power = pValue;
      else if (PARAM_X2Y2_POW.equalsIgnoreCase(pName))
      x2y2_pow = pValue;
    else
      throw new IllegalArgumentException(pName);
  }
 

  @Override
  public String getName() {
    return "atan2_spirals";
  }

}

Or download the code and add it to your JWildfire Custom Variation Loader

Download Summary

  • Icon zip
  • Version
  • Total Downloads 134
  • File Size 1.71 KB
  • File Count 1
  • Create Date August 14, 2018
  • Categories
  • Tags
  • Attached Files

  • FileAction
    atan2_spirals.zipDownload 
You'll need to either add a custom_wf or load the java file please see how to use custom variations.


1 thought on “Atan2 Spirals – Whittaker Courtney”

Leave a Comment