private static void renderHull(PtEntry pt) {
Inf inf = Inf.create();
int count = 30;
PtEntry ptStart = pt;
do {
inf.update();
if (pt.prev(true) != null) {
boolean valley = false;
valley =
(pt.prev(true).source() == pt.source() && pt.prev(true).orig().next(true) != pt.orig());
V.pushColor(MyColor.cBLUE);
V.pushStroke(valley ? STRK_RUBBERBAND : STRK_THICK);
V.drawLine(pt.prev(true), pt);
V.pop(2);
}
V.pushColor(MyColor.cDARKGREEN);
V.mark(pt, MARK_DISC, .6);
V.pop();
if (Editor.withLabels(true)) {
StringBuilder sb = new StringBuilder();
sb.append(" #" + pt.id());
if (pt.source() != null) sb.append(" <" + pt.source() + ">");
V.pushScale(.6);
V.draw(sb.toString(), MyMath.ptOnCircle(pt, MyMath.radians(30), 3), TX_FRAME | TX_BGND);
V.pop();
}
pt = pt.next(true);
if (count-- == 0) V.draw("too many points rendering!", 50, 50, TX_CLAMP);
} while (pt != ptStart && count > 0);
}
/**
* Calculate possible hull of a pair of polygons
*
* @param a
* @param b
* @return possible hull
*/
private static EdPolygon calcPHull(EdPolygon aPoly, EdPolygon bPoly) {
final boolean db = true;
if (db && T.update())
T.msg(
"calc possible hull of two polygons"
+ T.show(aPoly, MyColor.cBLUE, STRK_THICK, -1)
+ T.show(bPoly, MyColor.cDARKGREEN, STRK_THICK, -1));
PtEntry a = PtEntry.buildFrom(aPoly);
PtEntry b = PtEntry.buildFrom(bPoly);
PtEntry aHull = PtEntry.convexHull(a);
PtEntry bHull = PtEntry.convexHull(b);
inf = Inf.create();
if (db && T.update()) {
T.msg(
"convex hulls"
+ T.show(aHull.toPolygon(), MyColor.cBLUE, STRK_THICK, -1)
+ T.show(bHull.toPolygon(), MyColor.cDARKGREEN, STRK_THICK, -1));
}
PtEntry ph = hullOfPolygons(a, b, aHull, bHull);
traceHullPt = ph;
insertValleys(ph, a.source(), b.source());
expandHull(ph, aHull, bHull, true);
expandHull(ph, aHull, bHull, false);
return ph.toPolygon();
}
/**
* Determine convex hull of two polygons, using rotating calipers method
*
* @param pa first polygon
* @param pb second polygon
* @return convex hull structure
*/
private static PtEntry hullOfPolygons(PtEntry pa, PtEntry pb, PtEntry aHull, PtEntry bHull) {
boolean db = C.vb(DB_INITIALHULL);
if (db && T.update())
T.msg(
"construct convex hull of polygons"
+ T.show(pa, MyColor.cBLUE, STRK_THICK, -1)
+ T.show(pb, MyColor.cDARKGREEN, STRK_THICK, -1));
PtEntry hullVertex = null;
// A hull vertex and index
PtEntry av = rightMostVertex(aHull);
// B hull vertex and index
PtEntry bv = rightMostVertex(bHull);
double theta = Math.PI / 2;
LineEqn aLine = new LineEqn(av, theta);
int bSide = aLine.sideOfLine(bv);
boolean bActive = (bSide == 0) ? (bv.y > av.y) : bSide < 0;
if (db && T.update()) T.msg("rightmost vertices" + T.show(av) + T.show(bv));
// construct initial vertex of hull
hullVertex = new PtEntry(!bActive ? av : bv);
// if (db && T.update())
// T.msg("constructed initial hull vertex: " + hullVertex);
PtEntry.join(hullVertex, hullVertex);
PtEntry firstEnt = hullVertex;
while (true) {
Inf.update(inf);
PtEntry av2 = av.next(true);
PtEntry bv2 = bv.next(true);
// next vertex is either A advance, B advance, or bridge
double anga = MyMath.polarAngle(av, av2);
double angb = MyMath.polarAngle(bv, bv2);
double angBridge = bActive ? MyMath.polarAngle(bv, av) : MyMath.polarAngle(av, bv);
double ta = MyMath.normalizeAnglePositive(anga - theta);
double tb = MyMath.normalizeAnglePositive(angb - theta);
double tc = MyMath.normalizeAnglePositive(angBridge - theta);
// precision problem: if A and B tangent lines are parallel, both can
// reach near zero simultaneously
final double MAX = Math.PI * 2 - 1e-3;
if (ta >= MAX) ta = 0;
if (tb >= MAX) tb = 0;
if (tc >= MAX) tc = 0;
theta += Math.min(ta, Math.min(tb, tc));
if (db && T.update())
T.msg("caliper" + T.show(hullVertex) + tr(hullVertex, theta) + tp(av) + tp(bv));
PtEntry newPoint = null;
if (ta <= tb && ta <= tc) {
if (db && T.update()) T.msg("A vertex is nearest" + tl(av, av2));
// ai++;
av = av2;
if (!bActive) newPoint = av;
} else if (tb <= ta && tb <= tc) {
if (db && T.update()) T.msg("B vertex is nearest" + tl(bv, bv2));
// bi++;
bv = bv2;
if (bActive) newPoint = bv;
} else {
if (db && T.update())
T.msg("Bridge vertex is nearest" + tl(bActive ? bv : av, bActive ? av : bv));
bActive ^= true;
newPoint = bActive ? bv : av;
}
if (newPoint != null) {
if (PtEntry.samePoint(newPoint, firstEnt)) {
break;
}
// construct new vertex for hull of the two;
// remember, use original vertex, not the convex hull
hullVertex = hullVertex.insert(new PtEntry(newPoint), true);
if (db && T.update()) T.msg("adding new caliper vertex " + T.show(hullVertex));
}
}
return hullVertex;
}