/**
 * @author   Ikaros Kappler
 * @date     2013-11-27
 * @modified 2014-04-05 Ikaros Kappler (member array outerTilePolygons added).
 * @modified 2015-03-19 Ikaros Kappler (added toSVG()).
 * @modified 2020-10-30 Refactored the this super class to work with PlotBoilerplate.
 * @modified 2020-11-11 Ported the class from vanilla JS to TypeScript.
 * @version  2.0.1-alpha
 * @name GirihTile
 **/

import { Bounds } from "../../Bounds";
import { Line } from "../../Line";
import { Polygon } from "../../Polygon";
import { Vertex } from "../../Vertex";
import { XYCoords } from "../../interfaces";

export enum TileType {
  UNKNOWN = "UNKNOWN",
  DECAGON = "DECAGON",
  PENTAGON = "PENTAGON",
  IRREGULAR_HEXAGON = "IRREGULAR_HEXAGON",
  RHOMBUS = "RHOMBUS",
  BOW_TIE = "BOW_TIE",
  // This is not part of the actual girih tile set!
  PENROSE_RHOMBUS = "PENROSE_RHOMBUS"
}

export interface IAdjacency {
  edgeIndex: number;
  offset: XYCoords;
}

/**
 * @classdesc This is a general tile superclass. All other tile classes extends this one.
 *
 * Rule:
 *  * the outer and the inner sub polygons must be inside the main polygon's bounds.
 *
 * @requires Bounds
 * @requires Polyon
 * @requires Vertex
 * @requires XYCoords
 */
export abstract class GirihTile extends Polygon {
  /**
   * The center of this tile.
   *
   * @name position
   * @member {Vertex}
   * @memberof GirihTile
   * @type {Vertex}
   * @instance
   */
  public position: Vertex;

  /**
   * The edge length of this tile (all edges of a Girih tile have same length).
   *
   * @name edgeLength
   * @member {number}
   * @memberof GirihTile
   * @type {number}
   * @readonly
   * @instance
   */
  public readonly edgeLength: number;

  /**
   * The rotation of this tile. This is stored to make cloning easier.
   *
   * @name rotation.
   * @member {number}
   * @memberof GirihTile
   * @type {number}
   * @instance
   */
  public rotation: number;

  /**
   * The symmetry (=order) of this tile. This is the number of steps used for a full
   * rotation (in this Girih case: 10). Future Girih implementations might have other symmetries.
   *
   * @name symmetry
   * @member {number}
   * @memberof GirihTile
   * @type {number}
   * @instance
   */
  public symmetry: number; // Todo: rename to 'symmetries'?

  /**
   * The unique symmetries. This must be an nth part of the global `symmetry`.
   * Rotating this tile `uniqueSymmetries' times results in the same visual tile (flipped around
   * a symmetry axis).
   *
   * @name uniqueSymmetries
   * @member {number}
   * @memberof GirihTile
   * @type {number}
   * @instance
   */
  public uniqueSymmetries: number;

  /**
   * The inner tile polygons.
   *
   * @name innerTilePolygons
   * @member {Array<Polygon>}
   * @memberof GirihTile
   * @type {Array<Polygon>}
   * @instance
   */
  public innerTilePolygons: Array<Polygon>;

  /**
   * The outer tile polygons.
   *
   * @name outerTilePolygons
   * @member {Array<Polygon>}
   * @memberof GirihTile
   * @type {Array<Polygon>}
   * @instance
   */
  public outerTilePolygons: Array<Polygon>;

  /**
   * An identifier for the tile type.
   *
   * @name tileType
   * @member {TileType}
   * @memberof GirihTile
   * @type {TileType}
   * @instance
   */
  public tileType: TileType;

  /**
   * The initial bounds (of the un-rotated tile). These are required to calculate the
   * correct texture mapping.
   *
   * @name baseBounds
   * @member {Bounds}
   * @memberof GirihTile
   * @type {Bounds}
   * @instance
   */
  public baseBounds: Bounds;

  /**
   * A rectangle on the shipped texture image (`girihtexture-500px.png`) marking the
   * texture position. The bounds are relative, so each component must be in [0..1].
   * The texture is a square.
   *
   * @name textureSource
   * @member {Bounds}
   * @memberof GirihTile
   * @type {Bounds}
   * @instance
   */
  public readonly textureSource: Bounds;

  /**
   * An epsilon to use for detecting adjacent edges. 0.001 seems to be a good value.
   * Adjust if needed.
   *
   * @name epsilon
   * @member {number}
   * @memberof GirihTile
   * @type {number}
   * @static
   */
  public static epsilon: number = 0.001;

  /**
   * The default edge length.
   *
   * @name DEFAULT_EDGE_LENGTH
   * @member {number}
   * @memberof GirihTile
   * @type {number}
   * @readonly
   * @static
   */
  public static readonly DEFAULT_EDGE_LENGTH: number = 58;

  /**
   * @constructor
   * @memberof GirihTile
   * @abstract class
   * @param {Vertex} position   - The position of the tile.
   * @param {number} edgeLength - The edge length (default is GirihTile.DEFAULT_EDGE_LENGTH).
   * @param {TileType} tileType - One of `TileType.*` enum members.
   **/
  constructor(position: Vertex, edgeLength?: number, tileType?: TileType) {
    super([], false); // vertices, isOpen

    if (typeof edgeLength === "undefined") edgeLength = GirihTile.DEFAULT_EDGE_LENGTH;
    if (typeof tileType == "undefined") tileType = TileType.UNKNOWN;

    this.edgeLength = edgeLength;
    this.position = position;
    this.rotation = 0.0; // angle;
    this.symmetry = 10;
    this.uniqueSymmetries = 10;

    // An array of polygons.
    // The inner tile polygons are those that do not share edges with the outer
    // tile bounds (vertices are OK).
    this.innerTilePolygons = [];

    // A second array of polygons.
    // The outer tile polygons are those that make up the whole tile area
    // _together with the inner tile polygons (!)_; the union of the
    // inner tile polygons and the outer tile polygons covers exactly
    // the whole tile polygon.
    // The intersection of both sets is empty.
    // Outer tile polygon share at least one (partial) edge with the complete
    // tile polygon (length > 0).
    this.outerTilePolygons = [];
    // this.imageProperties      = null;
    this.textureSource = new Bounds(new Vertex(), new Vertex());

    this.tileType = tileType;
  }

  /**
   * @abstract Subclasses must override this.
   */
  abstract clone(): GirihTile;

  /**
   * Move this tile around (together will all inner polygons).
   * As this function overrides Polygon.move(...), the returned
   * instance (this) must be of type `Polygon`.
   *
   * @name move
   * @instance
   * @override
   * @memberof GirihTile
   * @param {XYCoords} amount
   * @return {Polygon} this
   */
  move(amount: XYCoords): Polygon {
    super.move.call(this, amount);
    for (var i in this.innerTilePolygons) this.innerTilePolygons[i].move(amount);
    for (var i in this.outerTilePolygons) this.outerTilePolygons[i].move(amount);
    this.position.add(amount);
    return this;
  }

  /**
   * Find the adjacent tile (given by the template tile)
   * Note that the tile itself will be modified (rotated and moved to the correct position).
   *
   * @name findAdjacentTilePosition
   * @memberof GirihTile
   * @instance
   * @param {number} edgeIndex - The edge number of the you you want to find adjacency for.
   * @param {Polygon} tile - The polygon (or tile) you want to find adjacency for at the specified edge.
   * @return {IAdjacency|null} Adjacency information or null if the passed tile does not match.
   */
  findAdjacentTilePosition(edgeIndex: number, tile: Polygon): IAdjacency | null {
    const edgeA: Line = new Line(
      this.vertices[edgeIndex % this.vertices.length],
      this.vertices[(edgeIndex + 1) % this.vertices.length]
    );
    // Find adjacent edge
    for (var i = 0; i < tile.vertices.length; i++) {
      const edgeB: Line = new Line(
        tile.vertices[i % tile.vertices.length].clone(),
        tile.vertices[(i + 1) % tile.vertices.length].clone()
      );
      // Goal: edgeA.a==edgeB.b && edgeA.b==edgeB.a
      // So move edgeB
      const offset: XYCoords = edgeB.b.difference(edgeA.a);
      edgeB.add(offset);
      if (edgeB.a.distance(edgeA.b) < GirihTile.epsilon) {
        return { edgeIndex: i, offset: offset } as IAdjacency;
      }
    }
    return null;
  }

  /**
   * Find all possible adjacent tile positions (and rotations) for `neighbourTile`.
   *
   * @name transformTileToAdjacencies
   * @memberof GirihTile
   * @instance
   * @param {number} baseEdgeIndex - The edge number of the you you want to find adjacencies for.
   * @param {GirihTile} neighbourTile - The polygon (or tile) you want to find adjacencies for at the specified edge.
   * @return {IAdjacency|null} Adjacency information or null if the passed tile does not match.
   */
  transformTileToAdjacencies(baseEdgeIndex: number, neighbourTile: GirihTile): Array<GirihTile> {
    // Find a rotation for that tile to match
    let i: number = 0;
    const foundAlignments: Array<GirihTile> = [];
    let positionedTile: GirihTile | null = null;
    while (i < neighbourTile.uniqueSymmetries) {
      positionedTile = this.transformTilePositionToAdjacency(baseEdgeIndex, neighbourTile);
      if (positionedTile != null) {
        positionedTile = positionedTile.clone();
        foundAlignments.push(positionedTile);
      }
      neighbourTile.rotate((Math.PI * 2) / neighbourTile.symmetry);
      i++;
    }
    return foundAlignments;
  }

  /**
   * Apply adjacent tile position to `neighbourTile`.
   *
   * @name transformTilePositionToAdjacencies
   * @memberof GirihTile
   * @instance
   * @param {number} baseEdgeIndex - The edge number of the you you want to apply adjacent position for.
   * @param {Polygon} neighbourTile - The polygon (or tile) you want to find adjacency for at the specified edge.
   * @return {Polygon|null} the passed tile itself if adjacency was found, null otherwise.
   */
  transformTilePositionToAdjacency<P extends Polygon>(baseEdgeIndex: number, neighbourTile: P): P | null {
    // Find the position for that tile to match (might not exist)
    // { edgeIndex:number, offset:XYCoords }
    var adjacency = this.findAdjacentTilePosition(baseEdgeIndex, neighbourTile);
    if (adjacency != null) {
      neighbourTile.move(adjacency.offset);
      return neighbourTile;
    }
    return null;
  }

  /**
   * Get the inner tile polygon at the given index.
   * This function applies MOD to the index.
   *
   * @name getInnerTilePolygonAt
   * @instance
   * @memberof GirihTile
   * @param {number} index
   * @return {Polygon} The sub polygon (inner tile) at the given index.
   **/
  getInnerTilePolygonAt(index: number): Polygon {
    if (index < 0)
      return this.innerTilePolygons[this.innerTilePolygons.length - (Math.abs(index) % this.innerTilePolygons.length)];
    else return this.innerTilePolygons[index % this.innerTilePolygons.length];
  }

  /**
   * Get the outer tile polygon at the given index.
   * This function applies MOD to the index.
   *
   * @name getOuterTilePolygonAt
   * @instance
   * @memberof GirihTile
   * @param {number} index
   * @return {Polygon} The sub polygon (outer tile) at the given index.
   **/
  getOuterTilePolygonAt(index: number): Polygon {
    if (index < 0)
      return this.outerTilePolygons[this.outerTilePolygons.length - (Math.abs(index) % this.outerTilePolygons.length)];
    else return this.outerTilePolygons[index % this.outerTilePolygons.length];
  }

  /**
   * Rotate this tile
   * Note: this function behaves a bitdifferent than the genuine Polygon.rotate function!
   *       Polygon has the default center of rotation at (0,0).
   *       The GirihTile rotates around its center (position) by default.
   *
   * @name rotate
   * @instance
   * @memberof GirihTile
   * @param {number} angle - The angle to use for rotation.
   * @param {Vertex?} center - The center of rotation (default is this.position).
   * @return {Polygon} this
   **/
  rotate(angle: number, center?: Vertex): GirihTile {
    if (typeof center === "undefined") center = this.position;
    super.rotate(angle, center);
    for (var i in this.innerTilePolygons) {
      this.innerTilePolygons[i].rotate(angle, center);
    }
    for (var i in this.outerTilePolygons) {
      this.outerTilePolygons[i].rotate(angle, center);
    }
    this.rotation += angle;
    return this;
  }

  /**
   * This function locates the closest tile edge (polygon edge)
   * to the passed point.
   *
   * Currently the edge distance to a point is measured by the
   * euclidian distance from the edge's middle point.
   *
   * Idea: move this function to Polygon?
   *
   * @name locateEdgeAtPoint
   * @instance
   * @memberof GirihTile
   * @param {XYCoords} point     - The point to detect the closest edge for.
   * @param {number}   tolerance - The tolerance (=max distance) the detected edge
   *                               must be inside.
   * @return {nmber} the edge index (index of the starting vertex, so [index,index+1] is the edge ) or -1 if not found.
   **/
  locateEdgeAtPoint(point: XYCoords, tolerance: number): number {
    if (this.vertices.length == 0) return -1;
    const middle: Vertex = new Vertex(0, 0);
    let tmpDistance: number = 0;
    let resultDistance: number = tolerance * 2; // definitely outside the tolerance :)
    let resultIndex: number = -1;
    for (var i = 0; i < this.vertices.length; i++) {
      const vertI: Vertex = this.getVertexAt(i);
      const vertJ: Vertex = this.getVertexAt(i + 1);
      // Create a point in the middle of the edge
      middle.x = vertI.x + (vertJ.x - vertI.x) / 2.0;
      middle.y = vertI.y + (vertJ.y - vertI.y) / 2.0;
      tmpDistance = middle.distance(point);
      if (tmpDistance <= tolerance && (resultIndex == -1 || tmpDistance < resultDistance)) {
        resultDistance = tmpDistance;
        resultIndex = i;
      }
    }
    return resultIndex;
  }
} // END class