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import {RedBlackNode} from "./RedBlackTree";
import {createCell} from "./Cell";
import {attachCircle, detachCircle} from "./Circle";
import {createEdge, setEdgeEnd} from "./Edge";
import {beaches, epsilon} from "./Diagram";

var beachPool = [];

function Beach() {
  RedBlackNode(this);
  this.edge =
  this.site =
  this.circle = null;
}

function createBeach(site) {
  var beach = beachPool.pop() || new Beach;
  beach.site = site;
  return beach;
}

function detachBeach(beach) {
  detachCircle(beach);
  beaches.remove(beach);
  beachPool.push(beach);
  RedBlackNode(beach);
}

export function removeBeach(beach) {
  var circle = beach.circle,
      x = circle.x,
      y = circle.cy,
      vertex = [x, y],
      previous = beach.P,
      next = beach.N,
      disappearing = [beach];

  detachBeach(beach);

  var lArc = previous;
  while (lArc.circle
      && Math.abs(x - lArc.circle.x) < epsilon
      && Math.abs(y - lArc.circle.cy) < epsilon) {
    previous = lArc.P;
    disappearing.unshift(lArc);
    detachBeach(lArc);
    lArc = previous;
  }

  disappearing.unshift(lArc);
  detachCircle(lArc);

  var rArc = next;
  while (rArc.circle
      && Math.abs(x - rArc.circle.x) < epsilon
      && Math.abs(y - rArc.circle.cy) < epsilon) {
    next = rArc.N;
    disappearing.push(rArc);
    detachBeach(rArc);
    rArc = next;
  }

  disappearing.push(rArc);
  detachCircle(rArc);

  var nArcs = disappearing.length,
      iArc;
  for (iArc = 1; iArc < nArcs; ++iArc) {
    rArc = disappearing[iArc];
    lArc = disappearing[iArc - 1];
    setEdgeEnd(rArc.edge, lArc.site, rArc.site, vertex);
  }

  lArc = disappearing[0];
  rArc = disappearing[nArcs - 1];
  rArc.edge = createEdge(lArc.site, rArc.site, null, vertex);

  attachCircle(lArc);
  attachCircle(rArc);
}

export function addBeach(site) {
  var x = site[0],
      directrix = site[1],
      lArc,
      rArc,
      dxl,
      dxr,
      node = beaches._;

  while (node) {
    dxl = leftBreakPoint(node, directrix) - x;
    if (dxl > epsilon) node = node.L; else {
      dxr = x - rightBreakPoint(node, directrix);
      if (dxr > epsilon) {
        if (!node.R) {
          lArc = node;
          break;
        }
        node = node.R;
      } else {
        if (dxl > -epsilon) {
          lArc = node.P;
          rArc = node;
        } else if (dxr > -epsilon) {
          lArc = node;
          rArc = node.N;
        } else {
          lArc = rArc = node;
        }
        break;
      }
    }
  }

  createCell(site);
  var newArc = createBeach(site);
  beaches.insert(lArc, newArc);

  if (!lArc && !rArc) return;

  if (lArc === rArc) {
    detachCircle(lArc);
    rArc = createBeach(lArc.site);
    beaches.insert(newArc, rArc);
    newArc.edge = rArc.edge = createEdge(lArc.site, newArc.site);
    attachCircle(lArc);
    attachCircle(rArc);
    return;
  }

  if (!rArc) { // && lArc
    newArc.edge = createEdge(lArc.site, newArc.site);
    return;
  }

  // else lArc !== rArc
  detachCircle(lArc);
  detachCircle(rArc);

  var lSite = lArc.site,
      ax = lSite[0],
      ay = lSite[1],
      bx = site[0] - ax,
      by = site[1] - ay,
      rSite = rArc.site,
      cx = rSite[0] - ax,
      cy = rSite[1] - ay,
      d = 2 * (bx * cy - by * cx),
      hb = bx * bx + by * by,
      hc = cx * cx + cy * cy,
      vertex = [(cy * hb - by * hc) / d + ax, (bx * hc - cx * hb) / d + ay];

  setEdgeEnd(rArc.edge, lSite, rSite, vertex);
  newArc.edge = createEdge(lSite, site, null, vertex);
  rArc.edge = createEdge(site, rSite, null, vertex);
  attachCircle(lArc);
  attachCircle(rArc);
}

function leftBreakPoint(arc, directrix) {
  var site = arc.site,
      rfocx = site[0],
      rfocy = site[1],
      pby2 = rfocy - directrix;

  if (!pby2) return rfocx;

  var lArc = arc.P;
  if (!lArc) return -Infinity;

  site = lArc.site;
  var lfocx = site[0],
      lfocy = site[1],
      plby2 = lfocy - directrix;

  if (!plby2) return lfocx;

  var hl = lfocx - rfocx,
      aby2 = 1 / pby2 - 1 / plby2,
      b = hl / plby2;

  if (aby2) return (-b + Math.sqrt(b * b - 2 * aby2 * (hl * hl / (-2 * plby2) - lfocy + plby2 / 2 + rfocy - pby2 / 2))) / aby2 + rfocx;

  return (rfocx + lfocx) / 2;
}

function rightBreakPoint(arc, directrix) {
  var rArc = arc.N;
  if (rArc) return leftBreakPoint(rArc, directrix);
  var site = arc.site;
  return site[1] === directrix ? site[0] : Infinity;
}