igeom/src/app/components/line-component/models/line-model.js

/*
 * iGeom by LInE
 * Geometric Object: Straight Line
 * www.matematica.br/igeom
 * ./app/components/line-component/models/line-model.js
 * Model to Straight Line
 */

import { ELEMENTS_CLASS } from "../../../core/enums/elements-class-enum";
import { LineSegmentModel } from "../../line-segment-component/models/line-segment-model";
import { IntersectionModel } from "../../intersection-component/models/intersection-model";

const Erro = 0.00001; //TODO a definir...

export class LineModel extends LineSegmentModel {

  constructor (pointA, pointB, label, id) {
    super(pointA, pointB, label, id);
    this.setClass(ELEMENTS_CLASS.LINE);
    }

  // Overload the Segment 'insideSegment' method (otherwise point intersection could be hiden)
  insideSegment (intersecX, intersecY) { //TODO Sempre verificar se esta dentro, nao parece bom...
    return true;
    }

  // Intersection with circunference
  getIntersectionWithCircumference (circ) { // circ = circunference(C,radius)
    // Delegate to super class Segment
    return super.getIntersectionByCircumference(circ);
    }

  // Intersection between Straigh Lines (SL): with sl
  // r := this=SL(A1,A2) e s := SL(B1,B2)
  //                     \  /
  //                       o P=(x,y)
  //                      / \
  //                     o   \   o O2 (orthogonal to B2-B1)
  // O1 ort. to    o    / A2  oB1
  // A2-A1        O1\  /       \
  //                  o         oB2
  //                 / A1        \
  //            this=r            s
  // d1:=(A2.x-A1.x, A2.y-A1.y) => o1:=(-d1.y, d1.x) : ortogonais as retas r e s
  // d2:=(B2.x-B1.x, B2.y-B1.y) => o2:=(-d2.y, d2.x) :
  // Find P=(x,y) such that (inner product)
  //           O1' P = O1' A1 (1)
  //           O2' P = O2' B1 (2)
  // (1) => O1.x * x + O1.y * y = O1.x * A1.x + O1.y * A1.y => O2.y * (O1.x * x + O1.y * y) = O2.y * (O1.x * A1.x + O1.y * A1.y) (3)
  // (2) => O2.x * x + O2.y * y = O2.x * B1.x + O2.y * B1.y => O1.y * (O2.x * x + O2.y * y) = O1.y * (O2.x * B1.x + O2.y * B1.y) (4)
  //
  // (3)-(4) = O2.y * O1.x * x - O1.y * O2.x * x = O2.y * (O1.x * A1.x + O1.y * A1.y) - O1.y * (O2.x * B1.x + O2.y * B1.y)
  //         = x * (O2.y * O1.x - O1.y * O2.x) = O2.y * (O1.x * A1.x + O1.y * A1.y) - O1.y * (O2.x * B1.x + O2.y * B1.y)
  //         => x = ( O2.y * (O1.x * A1.x + O1.y * A1.y) - O1.y * (O2.x * B1.x + O2.y * B1.y) ) / (O2.y * O1.x - O1.y * O2.x)
  //
  // If        O1.y<>0 => y = (O1.x * A1.x + O1.y * A1.y - O1.x * x) / O1.y
  // otherwise O2.y<>0 => y = (O2.x * B1.x + O2.y * B1.y - O2.x * x) / O2.y
  //
  // Return: .app/components/intersection-component/models/intersection-model.js
  getIntersectionWithStraightLine (sl) { try {//D //leo
    const A1 = this.pointA, A2  = this.pointB; // this = SL(A1,A2)
    const A3 = sl.pointA,   A4 = sl.pointB;    // sl   = SL(A3, A4)
    var A1x=A1.posX,        A1y=A1.posY,       // A1 -> this
        A2x=A2.posX,        A2y=A2.posY;       // A2 -> this
    var B1x=A3.posX,        B1y=A3.posY,       // B1 -> sl
        B2x=A4.posX,        B2y=A4.posY;       // B2 -> sl
    var d1x=A2x-A1x,        d1y=A2y-A1y,       // d1 = A2-A1
        d2x=B2x-B1x,        d2y=B2y-B1y,       // d2 = B2-B1
        O1x=-d1y,           O1y=d1x,           // O1 = (-d1.y,  d1.x) ortogonal a reta r=this
        O2x=-d2y,           O2y=d2x,           // O2 = (-d2.y, d2.x) ortogonal a reta s
        x,                  y;                 // P=(x,y) ponto procurado

    if (O2y * O1x - O1y * O2x == 0) { // "Reta: erro, divisao por zero"
      console.log("/app/components/line-component/models/line-model.js: erro: divisao por zero!");
      return null;
      }
    x = ( O2y * (O1x * A1x + O1y * A1y) - O1y * (O2x * B1x + O2y * B1y) ) / (O2y * O1x - O1y * O2x);
    if (Math.abs(O1y)>Erro)
      y = (O1x * A1x + O1y * A1y - O1x * x) / O1y;
    else 
    if (Math.abs(O2y)>Erro)
      y = (O2x * B1x + O2y * B1y - O2x * x) / O2y;
    else
    if (O1y!=0.0)
      y = (O1x * A1x + O1y * A1y - O1x * x) / O1y;
    else
    if (O2y!=0.0)
      y = (O2x * B1x + O2y * B1y - O2x * x) / O2y;
    else {
      console.log("/app/components/line-component/models/line-model.js: erro: O2y=0!");
      return null;
      }
    //D console.log("line-model.js: getIntersectionWithStraightLine(sl): (" + x + "," + y + ") = " +
    //D             "inter(r(P("+A1x+","+A1y+"),P("+A2x+","+A2y+")), s(P("+B1x+","+B1y+"),P("+B2x+","+B2y+"))");
    return [new IntersectionModel(x, y, undefined, this, sl, true, 0)];
    } catch (e) { console.log("app/components/line-component/models/line-model.js: getIntersectionWithStraightLine(.): erro!\n" + e.stack); }
    } // getIntersectionWithStraightLine(sl)


  // Intersection between Straigh Line (SL) and Segment (S)
  // P in S(C,D)  <=> P = a C+(1-a)D, a em [0,1] then | Px = Ax+b(Bx-Ax) = a*Cx + (1-a)Dx and Py = Ay+b(By-Ay) = a*Cy + (1-a)Dy and
  // P in SL(A,B) <=> P = A + b(B-A)             ---> | b = (a*Cx + (1-a)Dx - Ax)/(Bx-Ax)
  getIntersectionWithSegment (segm) {
    //const pointA = segm.pointA;
    //const pointB = segm.pointB;
    return segm.getIntersectionByLine(this); //TODO nome em './app/components/line-segment-component/models/line-segment-model.js ! getIntersectionByLine(.)' deveria ser 'getIntersectionWithSegment'
    }


  // Starting point to intersection started with StraightLine
  getIntersection (geometricObject) { try { //D //leo
    //D console.log("line-model.js.getIntersection: tipo=" + geometricObject.elementClass);
    switch (geometricObject.elementClass) { // ./app/core/enums/elements-class-enum.js: POINT=0; INTERSECTION_POINT=1; CIRCUMFERENCE=3; LINE=4; LINE_SEGMENT=6,...
      case ELEMENTS_CLASS.LINE:
        return this.getIntersectionWithStraightLine(geometricObject); //TODO melhor 'with' que 'by'
      case ELEMENTS_CLASS.LINE_SEGMENT:
        return this.getIntersectionWithStraightLine(geometricObject); //TODO melhor 'with' que 'by'
      case ELEMENTS_CLASS.CIRCUMFERENCE:
        return this.getIntersectionWithCircumference(geometricObject); //TODO melhor 'with' que 'by'
      default: break;
      }
    } catch (e) { console.log("app/components/line-component/models/line-model.js: getIntersection(.): erro!\n" + e.stack); }

    }

  static do (map, list) {
    const id = map.get("id");
    const pointAId = map.get("param")[0];
    const pointBId = map.get("param")[1];
    const pointA = list.find(x => x.id === pointAId);
    const pointB = list.find(x => x.id === pointBId);
    const label = map.get("label")[0];
    return new LineModel(pointA, pointB, label, id);
    }
  
  }