Implementation of variables and methods in transformations classes

src/main/java/org/example/chaosgame/transformations/AffineTransform2D.java

 package org.example.chaosgame.transformations;
 
+import org.example.chaosgame.linalg.Matrix2x2;
+import org.example.chaosgame.linalg.Vector2D;
+
 public class AffineTransform2D implements Transform2D{
+  private final Matrix2x2 matrix;
+  private final Vector2D vector;
+
+  public AffineTransform2D(Matrix2x2 matrix, Vector2D vector) {
+    this.matrix = matrix;
+    this.vector = vector;
+  }
+
+  @Override
+  public Vector2D transform(Vector2D point) {
+    return matrix.multiply(point).add(vector);
+  }
 }

src/main/java/org/example/chaosgame/transformations/JuliaTransform.java

 package org.example.chaosgame.transformations;
 
+import org.example.chaosgame.linalg.Complex;
+import org.example.chaosgame.linalg.Vector2D;
+
 public class JuliaTransform implements Transform2D{
+  private final Complex point;
+  private final int sign;
+
+  public JuliaTransform(Complex point, int sign) {
+    this.point = point;
+    this.sign = sign;
+  }
+
+  @Override
+  public Vector2D transform(Vector2D point) {
+    Vector2D result = this.point.sqrt(point.getX(), point.getY());
+    double a = sign * result.getX();
+    double b = sign * result.getY();
+    return new Vector2D(a, b);
+  }
 }

src/main/java/org/example/chaosgame/transformations/Transform2D.java

 package org.example.chaosgame.transformations;
 
+import org.example.chaosgame.linalg.Vector2D;
+
 public interface Transform2D{
+  public Vector2D transform(Vector2D point);
+
 }