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TenIO is a java NIO (Non-blocking I/O) based server specifically designed for multiplayer games. It supports UDP and TCP transports which are handled by Netty for high-speed network transmission. This is the engine module for the game related handlers of the framework.
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/*
The MIT License

Copyright (c) 2016-2021 kong 

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
*/

package com.tenio.engine.physic2d.math;

import java.util.List;

/**
 * A 3x3 row major
 * matrix. It's useful for 2D transforms.

 * More detail in this
 * document.
 */
public final class Matrix3 {

  // The temporary object for calculations
  private final Matrix matrix = new Matrix();
  private final Matrix tempMatrix = new Matrix();

  private Matrix3() {
    // initialize the matrix to an identity matrix
    initialize();
  }

  public static Matrix3 newInstance() {
    return new Matrix3();
  }

  /**
   * Create an identity matrix.
   */
  public void initialize() {
    matrix.p11 = 1;
    matrix.p12 = 0;
    matrix.p13 = 0;
    matrix.p21 = 0;
    matrix.p22 = 1;
    matrix.p23 = 0;
    matrix.p31 = 0;
    matrix.p32 = 0;
    matrix.p33 = 1;
  }

  public void p11(float val) {
    matrix.p11 = val;
  }

  public void p12(float val) {
    matrix.p12 = val;
  }

  public void p13(float val) {
    matrix.p13 = val;
  }

  public void p21(float val) {
    matrix.p21 = val;
  }

  public void p22(float val) {
    matrix.p22 = val;
  }

  public void p23(float val) {
    matrix.p23 = val;
  }

  public void p31(float val) {
    matrix.p31 = val;
  }

  public void p32(float val) {
    matrix.p32 = val;
  }

  public void p33(float val) {
    matrix.p33 = val;
  }

  /**
   * Multiply two matrices together by rows.
   *
   * @param matrix see {@link Matrix}
   */
  private void mul(final Matrix matrix) {
    // first
    float p11 =
        (this.matrix.p11 * matrix.p11)
            + (this.matrix.p12 * matrix.p21) + (this.matrix.p13 * matrix.p31);
    float p12 =
        (this.matrix.p11 * matrix.p12) + (this.matrix.p12 * matrix.p22)
            + (this.matrix.p13 * matrix.p32);
    float p13 =
        (this.matrix.p11 * matrix.p13) + (this.matrix.p12 * matrix.p23)
            + (this.matrix.p13 * matrix.p33);

    // second
    float p21 =
        (this.matrix.p21 * matrix.p11) + (this.matrix.p22 * matrix.p21)
            + (this.matrix.p23 * matrix.p31);
    float p22 =
        (this.matrix.p21 * matrix.p12) + (this.matrix.p22 * matrix.p22)
            + (this.matrix.p23 * matrix.p32);
    float p23 =
        (this.matrix.p21 * matrix.p13) + (this.matrix.p22 * matrix.p23)
            + (this.matrix.p23 * matrix.p33);

    // third
    float p31 =
        (this.matrix.p31 * matrix.p11) + (this.matrix.p32 * matrix.p21)
            + (this.matrix.p33 * matrix.p31);
    float p32 =
        (this.matrix.p31 * matrix.p12) + (this.matrix.p32 * matrix.p22)
            + (this.matrix.p33 * matrix.p32);
    float p33 =
        (this.matrix.p31 * matrix.p13) + (this.matrix.p32 * matrix.p23)
            + (this.matrix.p33 * matrix.p33);

    this.matrix.set(p11, p12, p13, p21, p22, p23, p31, p32, p33);
  }

  /**
   * Applies a 2D transformation matrix to a list of Vector2Ds.
   *
   * @param points see {@link Vector2}
   */
  public void transformVector2Ds(List points) {
    points.forEach(vector -> {
      float tempX = (matrix.p11 * vector.x) + (matrix.p21 * vector.y) + (matrix.p31);
      float tempY = (matrix.p12 * vector.x) + (matrix.p22 * vector.y) + (matrix.p32);
      vector.x = tempX;
      vector.y = tempY;
    });
  }

  /**
   * Applies a 2D transformation matrix to a single Vector2D.
   *
   * @param point see {@link Vector2}
   */
  public void transformVector2D(Vector2 point) {
    float tempX = (matrix.p11 * point.x) + (matrix.p21 * point.y) + (matrix.p31);
    float tempY = (matrix.p12 * point.x) + (matrix.p22 * point.y) + (matrix.p32);

    point.x = tempX;
    point.y = tempY;
  }

  /**
   * Create a transformation matrix.
   *
   * @param x new x value
   * @param y new y value
   */
  public void translate(float x, float y) {
    /*
     * matrix._11 = 1; matrix._12 = 0; matrix._13 = 0;
     * matrix._21 = 0; matrix._22 = 1; matrix._23 = 0;
     * matrix._31 = x; matrix._32 = y; matrix._33 = 1;
     */

    tempMatrix.initialize();
    tempMatrix.set(1, 0, 0, 0, 1, 0, x, y, 1);

    // and multiply
    mul(tempMatrix);
  }

  /**
   * Create a scale matrix.
   *
   * @param xscale scale horizon
   * @param yscale scale vertical
   */
  public void scale(float xscale, float yscale) {
    /*
     * matrix._11 = xscale; matrix._12 = 0; matrix._13 = 0;
     * matrix._21 = 0; matrix._22 = yscale; matrix._23 = 0;
     * matrix._31 = 0; matrix._32 = 0; matrix._33 = 1;
     */

    tempMatrix.initialize();
    tempMatrix.set(xscale, 0, 0, 0, yscale, 0, 0, 0, 1);

    // and multiply
    mul(tempMatrix);
  }

  /**
   * Create a rotation matrix.
   *
   * @param rotation rotation value
   */
  public void rotate(float rotation) {
    float sin = (float) Math.sin(rotation);
    float cos = (float) Math.cos(rotation);

    /*
     * matrix._11 = cos; matrix._12 = sin; matrix._13 = 0;
     * matrix._21 = -sin; matrix._22 = cos; matrix._23 = 0;
     * matrix._31 = 0; matrix._32 = 0; matrix._33 = 1;
     */

    tempMatrix.initialize();
    tempMatrix.set(cos, sin, 0, -sin, cos, 0, 0, 0, 1);

    // and multiply
    mul(tempMatrix);
  }

  /**
   * Create a rotation matrix from a 2D vector.
   *
   * @param forward forward vector
   * @param side    side vector
   */
  public void rotate(Vector2 forward, Vector2 side) {
    /*
     * matrix._11 = forward.x; matrix._12 = forward.y; matrix._13 = 0;
     * matrix._21 = side.x; matrix._22 = side.y; matrix._23 = 0;
     * matrix._31 = 0; matrix._32 = 0; matrix._33 = 1;
     */

    tempMatrix.initialize();
    tempMatrix.set(forward.x, forward.y, 0, side.x, side.y, 0, 0, 0, 1);

    // and multiply
    mul(tempMatrix);
  }

  private class Matrix {

    public float p11;
    public float p12;
    public float p13;
    public float p21;
    public float p22;
    public float p23;
    public float p31;
    public float p32;
    public float p33;

    public Matrix() {
      initialize();
    }

    public void initialize() {
      p11 = 0;
      p12 = 0;
      p13 = 0;
      p21 = 0;
      p22 = 0;
      p23 = 0;
      p31 = 0;
      p32 = 0;
      p33 = 0;
    }

    public void set(float p11, float p12, float p13, float p21, float p22, float p23, float p31,
                    float p32,
                    float p33) {
      this.p11 = p11;
      this.p12 = p12;
      this.p13 = p13;
      this.p21 = p21;
      this.p22 = p22;
      this.p23 = p23;
      this.p31 = p31;
      this.p32 = p32;
      this.p33 = p33;
    }
  }
}