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+#ifndef FRACTAL_H_0585D362
+#define FRACTAL_H_0585D362
+
+#include <map>
+#include <string>
+#include <vector>
+#include <list>
+#include "matrix3x3.h"
+#include "color.h"
+  
+class Variation {
+  public:
+    enum class Type {
+      linear,
+      sinusoidal,
+      spherical,
+      eyefish,
+      bubble,
+      cylinder,
+      noise,
+      blur,
+      horseshoe,
+      swirl,
+      julian,
+      hyperbolic,
+      polar,
+      handkerchief,
+      heart,
+      disc,
+      spiral,
+      diamond,
+      ex,
+      julia,
+      bent,
+      fisheye
+    };
+    
+    Variation(Type _type, double _weight, std::vector<double> _params = {});
+    
+    const Type type;
+    const double weight;
+    const std::vector<double> params;
+};
+
+class Fractal {
+  public:
+    void set_palette(std::string colors);
+    void add_transform(double weight, Matrix3x3 transform, double color, std::vector<Variation> variations);
+    void sample(double& x, double& y, double& c) const;
+    Color get_color(double c) const;
+    
+    static int load(const char* filename, Fractal& fractal);
+    static Fractal random();
+    
+    double filterlevel = 0.5;
+    double gamma = 2.2;
+    double gammathresh = 0.01;
+    double brightness = 4.0;
+    double width = 800.0;
+    double height = 640.0;
+    
+  private:
+    friend class FractalParser;
+    
+    struct Transform {
+      Matrix3x3 transform;
+      double color;
+      std::vector<Variation> variations;
+      
+      Transform()
+      {
+        
+      }
+      
+      Transform(Matrix3x3 transform, double color, std::vector<Variation> variations) : transform(transform), color(color), variations(variations)
+      {
+        
+      }
+    };
+    
+    std::map<double, Transform> transforms;
+    double max = 0.0;
+    std::vector<Color> palette;
+};
+
+class LogScale {
+  public:
+    LogScale(double brightness, double quality);
+    double log(double n) const;
+    
+  private:
+    std::vector<double> memo;
+    double k1;
+    double k2;
+};
+
+#endif /* end of include guard: FRACTAL_H_0585D362 */