From ca9382d2726b46b9f2d1542e60003201c060a5d9 Mon Sep 17 00:00:00 2001
From: James Ball <balljames63@gmail.com>
Date: Tue, 11 Feb 2020 21:00:47 +0000
Subject: [PATCH] Implemented 3D code from ICHack project

---
 src/audio/AudioClient.java               | 18 ++++--
 src/audio/AudioPlayer.java               |  8 +--
 src/engine/Camera.java                   | 43 +++++++++++++
 src/engine/Main.java                     | 18 ++++++
 src/engine/Mesh.java                     | 77 +++++++++++++++++++++++
 src/engine/Renderer.java                 | 26 ++++++++
 src/engine/Vector3.java                  | 79 ++++++++++++++++++++++++
 src/engine/WorldObject.java              | 38 ++++++++++++
 src/graphs/Graph.java                    |  4 +-
 src/graphs/Node.java                     |  8 +--
 src/shapes/Ellipse.java                  | 10 +--
 src/shapes/Line.java                     | 18 +++---
 src/shapes/Shape.java                    |  2 +-
 src/shapes/Shapes.java                   | 18 +++---
 src/shapes/{Vector.java => Vector2.java} | 34 +++++-----
 15 files changed, 345 insertions(+), 56 deletions(-)
 create mode 100644 src/engine/Camera.java
 create mode 100644 src/engine/Main.java
 create mode 100644 src/engine/Mesh.java
 create mode 100644 src/engine/Renderer.java
 create mode 100644 src/engine/Vector3.java
 create mode 100644 src/engine/WorldObject.java
 rename src/shapes/{Vector.java => Vector2.java} (57%)

diff --git a/src/audio/AudioClient.java b/src/audio/AudioClient.java
index a2efaf7..2e20657 100644
--- a/src/audio/AudioClient.java
+++ b/src/audio/AudioClient.java
@@ -2,7 +2,7 @@ package audio;
 
 import shapes.Ellipse;
 import shapes.Shapes;
-import shapes.Vector;
+import shapes.Vector2;
 
 public class AudioClient {
   private static final int SAMPLE_RATE = 192000;
@@ -13,12 +13,20 @@ public class AudioClient {
     AudioPlayer player = new AudioPlayer();
     AudioPlayer.FORMAT = AudioPlayer.defaultFormat(SAMPLE_RATE);
 
-    AudioPlayer.addShapes(Shapes.generatePolygram(5, 3, 0.5, 60));
+//    AudioPlayer.addShapes(Shapes.generatePolygram(5, 3, 0.5, 60));
     //AudioPlayer.addShapes(Shapes.generatePolygon(500, 0.5, 10));
-    AudioPlayer.addShape(new Ellipse(0.5, 1));
+//    AudioPlayer.addShape(new Ellipse(0.5, 1));
+
+//    AudioPlayer.setRotateSpeed(0.8);
+//    AudioPlayer.setTranslation(2, new Vector(0.5, 0.5));
+
+    AudioPlayer.addShapes(Shapes.generatePolygon(4, new Vector2(0.25, 0.25)));
+    AudioPlayer.addShapes(Shapes.generatePolygon(4, new Vector2(0.5, 0.5)));
+    AudioPlayer.addShapes(Shapes.generatePolygon(4, new Vector2(-0.8, -0.8)));
+    for (int i = 0; i < 10; i++) {
+      AudioPlayer.addShape(new Ellipse(i / 10d, i / 10d));
+    }
 
-    AudioPlayer.setRotateSpeed(0.8);
-    AudioPlayer.setTranslation(2, new Vector(0.5, 0.5));
     AudioPlayer.setScale(0.5);
 
     player.start();
diff --git a/src/audio/AudioPlayer.java b/src/audio/AudioPlayer.java
index 6252bf5..7a4eb11 100644
--- a/src/audio/AudioPlayer.java
+++ b/src/audio/AudioPlayer.java
@@ -2,7 +2,7 @@ package audio;
 
 import com.xtaudio.xt.*;
 import shapes.Shape;
-import shapes.Vector;
+import shapes.Vector2;
 
 import java.util.ArrayList;
 import java.util.List;
@@ -17,7 +17,7 @@ public class AudioPlayer extends Thread {
 
   public static XtFormat FORMAT;
   private static double TRANSLATE_SPEED = 0;
-  private static Vector TRANSLATE_VECTOR;
+  private static Vector2 TRANSLATE_VECTOR;
   private static final int TRANSLATE_PHASE_INDEX = 0;
   private static double ROTATE_SPEED = 0.4;
   private static final int ROTATE_PHASE_INDEX = 1;
@@ -81,7 +81,7 @@ public class AudioPlayer extends Thread {
   }
 
   private static Shape translate(Shape shape, double sampleRate) {
-    if (TRANSLATE_SPEED != 0 && !TRANSLATE_VECTOR.equals(new Vector())) {
+    if (TRANSLATE_SPEED != 0 && !TRANSLATE_VECTOR.equals(new Vector2())) {
       return shape.translate(TRANSLATE_VECTOR.scale(
         Math.sin(nextTheta(sampleRate, TRANSLATE_SPEED, ROTATE_PHASE_INDEX))
       ));
@@ -110,7 +110,7 @@ public class AudioPlayer extends Thread {
     AudioPlayer.ROTATE_SPEED = speed;
   }
 
-  public static void setTranslation(double speed, Vector translation) {
+  public static void setTranslation(double speed, Vector2 translation) {
     AudioPlayer.TRANSLATE_SPEED = speed;
     AudioPlayer.TRANSLATE_VECTOR = translation;
   }
diff --git a/src/engine/Camera.java b/src/engine/Camera.java
new file mode 100644
index 0000000..78c0078
--- /dev/null
+++ b/src/engine/Camera.java
@@ -0,0 +1,43 @@
+package engine;
+
+import shapes.Line;
+import shapes.Vector2;
+
+import java.util.ArrayList;
+import java.util.List;
+
+public class Camera extends Renderer{
+
+  // position at 0,0,0,0
+  // rotation towards positive z axis
+
+  private double focalLength;
+  private double clipping = 0.001;
+  private Vector3 position;
+  private double fov;
+
+  public Camera() {
+    this.focalLength = 0.6;
+    this.position = new Vector3(0,0,-2);
+    this.fov = 60;
+  }
+
+  public List<Line> draw(WorldObject worldObject) {
+    List<Vector2> vertices = new ArrayList<>();
+    for(Vector3 vertex : worldObject.getVertices()) {
+      vertices.add(this.project(vertex));
+    }
+
+    return this.getFrame(vertices, worldObject.getEdgeData());
+  }
+
+  private Vector2 project(Vector3 vertex) {
+    if(vertex.getZ() - this.position.getZ() < clipping) {
+      return new Vector2(0, 0);
+    }
+    return new Vector2(
+      vertex.getX() * focalLength / (vertex.getZ() - this.position.getZ()) + this.position.getX(),
+      vertex.getY() * focalLength / (vertex.getZ() - this.position.getZ()) + this.position.getY()
+    );
+  }
+}
diff --git a/src/engine/Main.java b/src/engine/Main.java
new file mode 100644
index 0000000..a0172a1
--- /dev/null
+++ b/src/engine/Main.java
@@ -0,0 +1,18 @@
+package engine;
+
+public class Main {
+  public static void main(String[] args) throws InterruptedException {
+    Camera camera = new Camera();
+
+    WorldObject cube = new WorldObject("resources/machine.obj", new Vector3(0,0,0), new Vector3());
+    while(true) {
+      camera.draw(cube);
+      cube.rotate(new Vector3(
+        0,
+        Math.PI / 100,
+        0
+      ));
+      Thread.sleep(1000/30);
+    }
+  }
+}
diff --git a/src/engine/Mesh.java b/src/engine/Mesh.java
new file mode 100644
index 0000000..d5441a1
--- /dev/null
+++ b/src/engine/Mesh.java
@@ -0,0 +1,77 @@
+package engine;
+
+import java.io.File;
+import java.util.ArrayList;
+import java.util.List;
+import java.util.Scanner;
+import java.util.regex.MatchResult;
+import java.util.stream.Collectors;
+
+public class Mesh {
+
+  private static final String VERTEX_PATTERN = "(?m)^v .*";
+  private static final String FACE_PATTERN = "(?m)^f .*";
+
+  private List<Vector3> vertices;
+  private List<Integer> edgeData;
+
+  public Mesh() {
+    this.vertices = new ArrayList<>();
+    this.edgeData = new ArrayList<>();
+  }
+
+  public Mesh(List<Vector3> vertices, List<Integer> edgeData) {
+    this.vertices = vertices;
+    this.edgeData = edgeData;
+  }
+
+  public List<Vector3> getVertices() {
+    return vertices;
+  }
+
+  public List<Integer> getEdgeData() {
+    return edgeData;
+  }
+
+  public static Mesh loadFromFile(String filename) {
+    Scanner sc;
+    try {
+      sc = new Scanner(new File(filename));
+    } catch (Exception e) {
+      System.err.println("Cannot load mesh data from: " + filename);
+      return new Mesh();
+    }
+    // load vertices
+    List<Vector3> vertices =
+      sc.findAll(VERTEX_PATTERN)
+      .map(s -> parseVertex(s.group(0)))
+      .collect(Collectors.toList());
+    // load edge data
+    List<Integer> edgeData = new ArrayList<>();
+    for(MatchResult result : sc.findAll(FACE_PATTERN).collect(Collectors.toList())) {
+      List<Integer> indices = parseFace(result.group(0));
+      for(int i = 0; i < indices.size(); i++ ) {
+        edgeData.add(indices.get(i));
+        edgeData.add(indices.get((i + 1) % indices.size()));
+      }
+    }
+    return new Mesh(vertices, edgeData);
+  }
+
+  private static Vector3 parseVertex(String data) {
+    String[] coords = data.split(" ");
+    double x = Double.parseDouble(coords[1]);
+    double y = Double.parseDouble(coords[2]);
+    double z = Double.parseDouble(coords[3]);
+    return new Vector3(x, y, z);
+  }
+
+  private static List<Integer> parseFace(String data) {
+    List<Integer> indices = new ArrayList<>();
+    String[] datas = data.split(" ");
+    for(int i = 1; i < datas.length; i++) {
+      indices.add(Integer.parseInt(datas[i].split("/")[0]) - 1);
+    }
+    return indices;
+  }
+}
diff --git a/src/engine/Renderer.java b/src/engine/Renderer.java
new file mode 100644
index 0000000..286a594
--- /dev/null
+++ b/src/engine/Renderer.java
@@ -0,0 +1,26 @@
+package engine;
+
+import shapes.Line;
+import shapes.Vector2;
+
+import java.util.ArrayList;
+import java.util.List;
+
+public abstract class Renderer {
+  public List<Line> getFrame(List<Vector2> vertices, List<Integer> connections) {
+    List<Line> lines = new ArrayList<>();
+
+    for (int i = 0; i < connections.size(); i+=2) {
+      Vector2 start = vertices.get(connections.get(i));
+      Vector2 end = vertices.get(connections.get(i+1));
+      double x1 = start.getX();
+      double y1 = start.getY();
+      double x2 = end.getX();
+      double y2 = end.getY();
+
+      lines.add(new Line(x1, y1, x2, y2));
+    }
+
+    return lines;
+  }
+}
diff --git a/src/engine/Vector3.java b/src/engine/Vector3.java
new file mode 100644
index 0000000..6d87b38
--- /dev/null
+++ b/src/engine/Vector3.java
@@ -0,0 +1,79 @@
+package engine;
+
+import java.util.List;
+
+public class Vector3 {
+  private double x, y, z;
+
+  public Vector3() {
+    this.x = 0;
+    this.y = 0;
+    this.z = 0;
+  }
+
+  public Vector3(double x, double y, double z) {
+    this.x = x;
+    this.y = y;
+    this.z = z;
+  }
+
+  public double getX() {
+    return x;
+  }
+
+  public double getY() {
+    return y;
+  }
+
+  public double getZ() {
+    return z;
+  }
+
+  public Vector3 add(Vector3 other) {
+    return new Vector3(
+      this.getX() + other.getX(),
+      this.getY() + other.getY(),
+      this.getZ() + other.getZ()
+    );
+  }
+
+  public Vector3 scale(double scalar) {
+    return new Vector3(
+      this.getX() * scalar,
+      this.getY() * scalar,
+      this.getZ() * scalar
+    );
+  }
+
+  public Vector3 rotateX(double delta) {
+    return new Vector3(
+      getX(),
+      Math.cos(delta) * getY() - Math.sin(delta) * getZ(),
+      Math.sin(delta) * getY() + Math.cos(delta) * getZ()
+    );
+  }
+
+  public Vector3 rotateY(double delta) {
+    return new Vector3(
+      Math.cos(delta) * getX() + Math.sin(delta) * getZ(),
+      getY(),
+      -Math.sin(delta) * getX() + Math.cos(delta) * getZ()
+    );
+  }
+
+  public Vector3 rotateZ(double delta) {
+    return new Vector3(
+      Math.cos(delta) * getX() - Math.sin(delta) * getY(),
+      Math.sin(delta) * getX() + Math.cos(delta) * getY(),
+      getZ()
+    );
+  }
+
+  public static Vector3 meanPoint(List<Vector3> points) {
+    Vector3 mean = new Vector3();
+    for(Vector3 point : points) {
+      mean = mean.add(point);
+    }
+    return mean.scale(1f / (points.size()));
+  }
+}
diff --git a/src/engine/WorldObject.java b/src/engine/WorldObject.java
new file mode 100644
index 0000000..180c8fa
--- /dev/null
+++ b/src/engine/WorldObject.java
@@ -0,0 +1,38 @@
+package engine;
+
+import java.util.ArrayList;
+import java.util.List;
+
+public class WorldObject {
+
+  private Mesh mesh;
+  private Vector3 position;
+  private Vector3 rotation;
+
+  public WorldObject(String filename, Vector3 position, Vector3 rotation) {
+    this.mesh = Mesh.loadFromFile(filename);
+    this.position = position;
+    this.rotation = rotation;
+  }
+
+  public void rotate(Vector3 theta) {
+    this.rotation = this.rotation.add(theta);
+  }
+
+  public List<Vector3> getVertices() {
+    List<Vector3> vertices = new ArrayList<>();
+    for(Vector3 vertex : mesh.getVertices()) {
+      vertices.add(
+        vertex
+          .rotateX(this.rotation.getX())
+          .rotateY(this.rotation.getY())
+          .rotateZ(this.rotation.getY())
+          .add(this.position));
+    }
+    return vertices;
+  }
+
+  public List<Integer> getEdgeData() {
+    return mesh.getEdgeData();
+  }
+}
diff --git a/src/graphs/Graph.java b/src/graphs/Graph.java
index 49c2789..7968313 100644
--- a/src/graphs/Graph.java
+++ b/src/graphs/Graph.java
@@ -1,7 +1,7 @@
 package graphs;
 
 import shapes.Line;
-import shapes.Vector;
+import shapes.Vector2;
 
 import java.util.HashMap;
 import java.util.List;
@@ -10,7 +10,7 @@ import java.util.Map;
 // TODO: Implement Chinese postman solving.
 
 public class Graph {
-  private Map<Vector, Node> nodes;
+  private Map<Vector2, Node> nodes;
 
   public Graph(List<Line> lines) {
     this.nodes = new HashMap<>();
diff --git a/src/graphs/Node.java b/src/graphs/Node.java
index 0880528..7ac8d21 100644
--- a/src/graphs/Node.java
+++ b/src/graphs/Node.java
@@ -1,23 +1,23 @@
 package graphs;
 
-import shapes.Vector;
+import shapes.Vector2;
 
 import java.util.ArrayList;
 import java.util.List;
 import java.util.Objects;
 
 public class Node {
-  private Vector location;
+  private Vector2 location;
   private List<Node> adjacentNodes;
   private List<Double> adjacentWeights;
 
-  public Node(Vector location) {
+  public Node(Vector2 location) {
     this.location = location;
     this.adjacentNodes = new ArrayList<>();
     this.adjacentWeights = new ArrayList<>();
   }
 
-  public Vector getLocation() {
+  public Vector2 getLocation() {
     return location;
   }
 
diff --git a/src/shapes/Ellipse.java b/src/shapes/Ellipse.java
index 87a0d16..e9d460e 100644
--- a/src/shapes/Ellipse.java
+++ b/src/shapes/Ellipse.java
@@ -4,9 +4,9 @@ public class Ellipse extends Shape {
   private final double a;
   private final double b;
   private final double rotation;
-  private final Vector position;
+  private final Vector2 position;
 
-  public Ellipse(double a, double b, double weight, double rotation, Vector position) {
+  public Ellipse(double a, double b, double weight, double rotation, Vector2 position) {
     this.a = a;
     this.b = b;
     this.weight = weight;
@@ -16,12 +16,12 @@ public class Ellipse extends Shape {
     this.length = 2 * Math.PI * Math.sqrt((a * a + b * b) / 2);
   }
 
-  public Ellipse(double a, double b, Vector position) {
+  public Ellipse(double a, double b, Vector2 position) {
     this(a, b, 100, 0, position);
   }
 
   public Ellipse(double a, double b) {
-    this(a, b, 100, 0, new Vector());
+    this(a, b, 100, 0, new Vector2());
   }
 
   @Override
@@ -53,7 +53,7 @@ public class Ellipse extends Shape {
   }
 
   @Override
-  public Shape translate(Vector vector) {
+  public Shape translate(Vector2 vector) {
     return new Ellipse(a, b, weight, rotation, position.add(vector));
   }
 }
diff --git a/src/shapes/Line.java b/src/shapes/Line.java
index d001d1a..4761e39 100644
--- a/src/shapes/Line.java
+++ b/src/shapes/Line.java
@@ -1,28 +1,28 @@
 package shapes;
 
 public class Line extends Shape {
-  private final Vector a;
-  private final Vector b;
+  private final Vector2 a;
+  private final Vector2 b;
 
   public static final double DEFAULT_WEIGHT = 100;
 
-  public Line(Vector a, Vector b, double weight) {
+  public Line(Vector2 a, Vector2 b, double weight) {
     this.a = a;
     this.b = b;
     this.weight = weight;
     this.length = calculateLength();
   }
 
-  public Line(Vector a, Vector b) {
+  public Line(Vector2 a, Vector2 b) {
     this(a, b, DEFAULT_WEIGHT);
   }
 
   public Line(double x1, double y1, double x2, double y2, double weight) {
-    this(new Vector(x1, y1), new Vector(x2, y2), weight);
+    this(new Vector2(x1, y1), new Vector2(x2, y2), weight);
   }
 
   public Line(double x1, double y1, double x2, double y2) {
-    this(new Vector(x1, y1), new Vector(x2, y2));
+    this(new Vector2(x1, y1), new Vector2(x2, y2));
   }
 
   private double calculateLength() {
@@ -35,7 +35,7 @@ public class Line extends Shape {
   }
 
   @Override
-  public Line translate(Vector vector) {
+  public Line translate(Vector2 vector) {
     return new Line(getA().add(vector), getB().add(vector));
   }
 
@@ -58,11 +58,11 @@ public class Line extends Shape {
     return (float) (getY1() + (getY2() - getY1()) * drawingProgress);
   }
 
-  public Vector getA() {
+  public Vector2 getA() {
     return a;
   }
 
-  public Vector getB() {
+  public Vector2 getB() {
     return b;
   }
 
diff --git a/src/shapes/Shape.java b/src/shapes/Shape.java
index a8a0577..c8536de 100644
--- a/src/shapes/Shape.java
+++ b/src/shapes/Shape.java
@@ -8,7 +8,7 @@ public abstract class Shape {
   public abstract float nextY(double drawingProgress);
   public abstract Shape rotate(double theta);
   public abstract Shape scale(double factor);
-  public abstract Shape translate(Vector vector);
+  public abstract Shape translate(Vector2 vector);
 
   public double getWeight() {
     return weight;
diff --git a/src/shapes/Shapes.java b/src/shapes/Shapes.java
index 597311f..c0f7c8e 100644
--- a/src/shapes/Shapes.java
+++ b/src/shapes/Shapes.java
@@ -4,11 +4,11 @@ import java.util.ArrayList;
 import java.util.List;
 
 public class Shapes {
-  public static List<Shape> generatePolygram(int sides, int angleJump, Vector start, double weight) {
+  public static List<Shape> generatePolygram(int sides, int angleJump, Vector2 start, double weight) {
     List<Shape> polygon = new ArrayList<>();
 
     double theta = angleJump * 2 * Math.PI / sides;
-    Vector rotated = start.rotate(theta);
+    Vector2 rotated = start.rotate(theta);
     polygon.add(new Line(start, rotated, weight));
 
     while (!rotated.equals(start)) {
@@ -20,32 +20,32 @@ public class Shapes {
     return polygon;
   }
 
-  public static List<Shape> generatePolygram(int sides, int angleJump, Vector start) {
+  public static List<Shape> generatePolygram(int sides, int angleJump, Vector2 start) {
     return generatePolygram(sides, angleJump, start, Line.DEFAULT_WEIGHT);
   }
 
   public static List<Shape> generatePolygram(int sides, int angleJump, double scale, double weight) {
-    return generatePolygram(sides, angleJump, new Vector(scale, scale), weight);
+    return generatePolygram(sides, angleJump, new Vector2(scale, scale), weight);
   }
 
   public static List<Shape> generatePolygram(int sides, int angleJump, double scale) {
-    return generatePolygram(sides, angleJump, new Vector(scale, scale));
+    return generatePolygram(sides, angleJump, new Vector2(scale, scale));
   }
 
-  public static List<Shape> generatePolygon(int sides, Vector start, double weight) {
+  public static List<Shape> generatePolygon(int sides, Vector2 start, double weight) {
     return generatePolygram(sides, 1, start, weight);
   }
 
-  public static List<Shape> generatePolygon(int sides, Vector start) {
+  public static List<Shape> generatePolygon(int sides, Vector2 start) {
     return generatePolygram(sides, 1, start);
   }
 
   public static List<Shape> generatePolygon(int sides, double scale, double weight) {
-    return generatePolygon(sides, new Vector(scale, scale), weight);
+    return generatePolygon(sides, new Vector2(scale, scale), weight);
   }
 
   public static List<Shape> generatePolygon(int sides, double scale) {
-    return generatePolygon(sides, new Vector(scale, scale));
+    return generatePolygon(sides, new Vector2(scale, scale));
   }
 
   public static List<Line> cleanupLines(List<Line> lines) {
diff --git a/src/shapes/Vector.java b/src/shapes/Vector2.java
similarity index 57%
rename from src/shapes/Vector.java
rename to src/shapes/Vector2.java
index 46fd5f9..3d6c90e 100644
--- a/src/shapes/Vector.java
+++ b/src/shapes/Vector2.java
@@ -2,18 +2,18 @@ package shapes;
 
 import java.util.Objects;
 
-public class Vector {
+public class Vector2 {
   private final double x;
   private final double y;
 
   private static final double EPSILON = 0.001;
 
-  public Vector(double x, double y) {
+  public Vector2(double x, double y) {
     this.x = x;
     this.y = y;
   }
 
-  public Vector() {
+  public Vector2() {
     this(0, 0);
   }
 
@@ -25,28 +25,28 @@ public class Vector {
     return y;
   }
 
-  public Vector setX(double x) {
-    return new Vector(x, this.y);
+  public Vector2 setX(double x) {
+    return new Vector2(x, this.y);
   }
 
-  public Vector setY(double y) {
-    return new Vector(this.x, y);
+  public Vector2 setY(double y) {
+    return new Vector2(this.x, y);
   }
 
-  public Vector add(Vector vector) {
-    return new Vector(getX() + vector.getX(), getY() + vector.getY());
+  public Vector2 add(Vector2 vector) {
+    return new Vector2(getX() + vector.getX(), getY() + vector.getY());
   }
 
-  public Vector scale(double factor) {
-    return new Vector(getX() * factor, getY() * factor);
+  public Vector2 scale(double factor) {
+    return new Vector2(getX() * factor, getY() * factor);
   }
 
   @Override
   public boolean equals(Object obj) {
     if (obj == this) {
       return true;
-    } else if (obj instanceof Vector) {
-      Vector vector = (Vector) obj;
+    } else if (obj instanceof Vector2) {
+      Vector2 vector = (Vector2) obj;
 
       return approxEquals(vector.getX(), getX()) && approxEquals(vector.getY(), getY());
     } else {
@@ -63,12 +63,12 @@ public class Vector {
     return Math.round(d * 1000) / 1000d;
   }
 
-  public Vector copy() {
-    return new Vector(x, y);
+  public Vector2 copy() {
+    return new Vector2(x, y);
   }
 
-  public Vector rotate(double theta) {
-    Vector vector = setX(getX() * Math.cos(theta) - getY() * Math.sin(theta));
+  public Vector2 rotate(double theta) {
+    Vector2 vector = setX(getX() * Math.cos(theta) - getY() * Math.sin(theta));
     vector = vector.setY(getX() * Math.sin(theta) + getY() * Math.cos(theta));
 
     return vector;