/* * To change this template, choose Tools | Templates * and open the template in the editor. */ package sec.sun.awt.geom; import armyc2.c2sd.graphics2d.Rectangle2D; /** * * @author Michael Deutch */ public class CurveObject { private Order0 order0 = null; private Order1 order1 = null; private Order2 order2 = null; private Order3 order3 = null; int order = -1; public CurveObject(Object obj) { if (obj instanceof Order0) { order0 = (Order0) obj; order = 0; } else if (obj instanceof Order1) { order1 = (Order1) obj; order = 1; } else if (obj instanceof Order2) { order2 = (Order2) obj; order = 2; } else if (obj instanceof Order3) { order3 = (Order3) obj; order = 3; } setParent(); } private void setParent() { switch (order) { case 0: order0.setParent(this); break; case 1: order1.setParent(this); break; case 2: order2.setParent(this); break; case 3: order3.setParent(this); break; default: break; } return; } public Object getCurve() { switch (order) { case 0: return order0; case 1: return order1; case 2: return order2; case 3: return order3; default: return null; } } public int getOrder() { return order; } public double getXTop() { switch (order) { case 0: return order0.getXTop(); case 1: return order1.getXTop(); case 2: return order2.getXTop(); case 3: return order3.getXTop(); default: return -7; } } public CurveObject(int direction) { //this.direction = direction; switch (order) { case 0: order0.direction = direction; break; case 1: order1.direction = direction; break; case 2: order2.direction = direction; break; case 3: order3.direction = direction; break; default: break; } } public double getYTop() { switch (order) { case 0: return order0.getYTop(); case 1: return order1.getYTop(); case 2: return order2.getYTop(); case 3: return order3.getYTop(); default: return -7; } } public double getXBot() { switch (order) { case 0: return order0.getXBot(); case 1: return order1.getXBot(); case 2: return order2.getXBot(); case 3: return order3.getXBot(); default: return -7; } } public double getYBot() { switch (order) { case 0: return order0.getYBot(); case 1: return order1.getYBot(); case 2: return order2.getYBot(); case 3: return order3.getYBot(); default: return -7; } } public double getXMin() { switch (order) { case 0: return order0.getXMin(); case 1: return order1.getXMin(); case 2: return order2.getXMin(); case 3: return order3.getXMin(); default: return -7; } } public double getXMax() { switch (order) { case 0: return order0.getXMax(); case 1: return order1.getXMax(); case 2: return order2.getXMax(); case 3: return order3.getXMax(); default: return -7; } } public final int getDirection() { //return direction; switch (order) { case 0: return order0.direction; case 1: return order1.direction; case 2: return order2.direction; case 3: return order3.direction; default: return -1; } } public double XforY(double y) { switch (order) { case 0: return order0.XforY(y); case 1: return order1.XforY(y); case 2: return order2.XforY(y); case 3: return order3.XforY(y); default: return -7; } } public Object getReversedCurve() { switch (order) { case 0: return order0.getReversedCurve(); case 1: return order1.getReversedCurve(); case 2: return order2.getReversedCurve(); case 3: return order3.getReversedCurve(); default: return null; } } public double getX0() { switch (order) { case 0: return order0.getX0(); case 1: return order1.getX0(); case 2: return order2.getX0(); case 3: return order3.getX0(); default: return -7; } } public double getY0() { switch (order) { case 0: return order0.getY0(); case 1: return order1.getY0(); case 2: return order2.getY0(); case 3: return order3.getY0(); default: return -7; } } public double getX1() { switch (order) { case 0: return order0.getX1(); case 1: return order1.getX1(); case 2: return order2.getX1(); case 3: return order3.getX1(); default: return -7; } } public double getY1() { switch (order) { case 0: return order0.getY1(); case 1: return order1.getY1(); case 2: return order2.getY1(); case 3: return order3.getY1(); default: return -7; } } public double XforT(double t) { switch (order) { case 0: return order0.XforT(t); case 1: return order1.XforT(t); case 2: return order2.XforT(t); case 3: return order3.XforT(t); default: return -7; } } public double YforT(double t) { switch (order) { case 0: return order0.YforT(t); case 1: return order1.YforT(t); case 2: return order2.YforT(t); case 3: return order3.YforT(t); default: return -7; } } public double TforY(double t) { switch (order) { case 0: return order0.TforY(t); case 1: return order1.TforY(t); case 2: return order2.TforY(t); case 3: return order3.TforY(t); default: return -7; } } public double nextVertical(double t0, double t1) { switch (order) { case 0: return order0.nextVertical(t0, t1); case 1: return order1.nextVertical(t0, t1); case 2: return order2.nextVertical(t0, t1); case 3: return order3.nextVertical(t0, t1); default: return -7; } } public String controlPointString() { switch (order) { case 0: return ""; case 1: return ""; case 2: return order2.controlPointString(); case 3: return order3.controlPointString(); default: return ""; } } @Override public String toString() { return ("Curve[" + getOrder() + ", " + ("(" + Curve.round(this.getX0()) + ", " + Curve.round(this.getY0()) + "), ") + this.controlPointString() + ("(" + Curve.round(getX1()) + ", " + Curve.round(getY1()) + "), ") + //(direction == Curve.INCREASING ? "D" : "U")+ (this.getDirection() == Curve.INCREASING ? "D" : "U") + "]"); } public int crossingsFor(double x, double y) { if (y >= this.getYTop() && y < this.getYBot()) { if (x < this.getXMax() && (x < this.getXMin() || x < this.XforY(y))) { return 1; } } return 0; } public boolean accumulateCrossings(CrossingsObject c) { double xhi = c.getXHi(); if (getXMin() >= xhi) { return false; } double xlo = c.getXLo(); double ylo = c.getYLo(); double yhi = c.getYHi(); double y0 = getYTop(); double y1 = getYBot(); double tstart, ystart, tend, yend; if (y0 < ylo) { if (y1 <= ylo) { return false; } ystart = ylo; tstart = this.TforY(ylo); } else { if (y0 >= yhi) { return false; } ystart = y0; tstart = 0; } if (y1 > yhi) { yend = yhi; tend = TforY(yhi); } else { yend = y1; tend = 1; } boolean hitLo = false; boolean hitHi = false; while (true) { double x = XforT(tstart); if (x < xhi) { if (hitHi || x > xlo) { return true; } hitLo = true; } else { if (hitLo) { return true; } hitHi = true; } if (tstart >= tend) { break; } tstart = nextVertical(tstart, tend); } if (hitLo) { //c.record(ystart, yend, direction); c.record(ystart, yend, this.getDirection()); } return false; } public double refineTforY(double t0, double yt0, double y0) { double t1 = 1; while (true) { double th = (t0 + t1) / 2; if (th == t0 || th == t1) { return t1; } double y = YforT(th); if (y < y0) { t0 = th; yt0 = y; } else if (y > y0) { t1 = th; } else { return t1; } } } public boolean findIntersect(CurveObject that, double yrange[], double ymin, int slevel, int tlevel, double s0, double xs0, double ys0, double s1, double xs1, double ys1, double t0, double xt0, double yt0, double t1, double xt1, double yt1) { /* String pad = " "; pad = pad+pad+pad+pad+pad; pad = pad+pad; System.out.println("----------------------------------------------"); System.out.println(pad.substring(0, slevel)+ys0); System.out.println(pad.substring(0, slevel)+ys1); System.out.println(pad.substring(0, slevel)+(s1-s0)); System.out.println("-------"); System.out.println(pad.substring(0, tlevel)+yt0); System.out.println(pad.substring(0, tlevel)+yt1); System.out.println(pad.substring(0, tlevel)+(t1-t0)); */ if (ys0 > yt1 || yt0 > ys1) { return false; } if (Math.min(xs0, xs1) > Math.max(xt0, xt1) || Math.max(xs0, xs1) < Math.min(xt0, xt1)) { return false; } // Bounding boxes intersect - back off the larger of // the two subcurves by half until they stop intersecting // (or until they get small enough to switch to a more // intensive algorithm). if (s1 - s0 > Curve.TMIN) { double s = (s0 + s1) / 2; double xs = this.XforT(s); double ys = this.YforT(s); if (s == s0 || s == s1) { System.out.println("s0 = " + s0); System.out.println("s1 = " + s1); throw new InternalError("no s progress!"); } if (t1 - t0 > Curve.TMIN) { double t = (t0 + t1) / 2; double xt = that.XforT(t); double yt = that.YforT(t); if (t == t0 || t == t1) { System.out.println("t0 = " + t0); System.out.println("t1 = " + t1); throw new InternalError("no t progress!"); } if (ys >= yt0 && yt >= ys0) { if (findIntersect(that, yrange, ymin, slevel + 1, tlevel + 1, s0, xs0, ys0, s, xs, ys, t0, xt0, yt0, t, xt, yt)) { return true; } } if (ys >= yt) { if (findIntersect(that, yrange, ymin, slevel + 1, tlevel + 1, s0, xs0, ys0, s, xs, ys, t, xt, yt, t1, xt1, yt1)) { return true; } } if (yt >= ys) { if (findIntersect(that, yrange, ymin, slevel + 1, tlevel + 1, s, xs, ys, s1, xs1, ys1, t0, xt0, yt0, t, xt, yt)) { return true; } } if (ys1 >= yt && yt1 >= ys) { if (findIntersect(that, yrange, ymin, slevel + 1, tlevel + 1, s, xs, ys, s1, xs1, ys1, t, xt, yt, t1, xt1, yt1)) { return true; } } } else { if (ys >= yt0) { if (findIntersect(that, yrange, ymin, slevel + 1, tlevel, s0, xs0, ys0, s, xs, ys, t0, xt0, yt0, t1, xt1, yt1)) { return true; } } if (yt1 >= ys) { if (findIntersect(that, yrange, ymin, slevel + 1, tlevel, s, xs, ys, s1, xs1, ys1, t0, xt0, yt0, t1, xt1, yt1)) { return true; } } } } else if (t1 - t0 > Curve.TMIN) { double t = (t0 + t1) / 2; double xt = that.XforT(t); double yt = that.YforT(t); if (t == t0 || t == t1) { System.out.println("t0 = " + t0); System.out.println("t1 = " + t1); throw new InternalError("no t progress!"); } if (yt >= ys0) { if (findIntersect(that, yrange, ymin, slevel, tlevel + 1, s0, xs0, ys0, s1, xs1, ys1, t0, xt0, yt0, t, xt, yt)) { return true; } } if (ys1 >= yt) { if (findIntersect(that, yrange, ymin, slevel, tlevel + 1, s0, xs0, ys0, s1, xs1, ys1, t, xt, yt, t1, xt1, yt1)) { return true; } } } else { // No more subdivisions double xlk = xs1 - xs0; double ylk = ys1 - ys0; double xnm = xt1 - xt0; double ynm = yt1 - yt0; double xmk = xt0 - xs0; double ymk = yt0 - ys0; double det = xnm * ylk - ynm * xlk; if (det != 0) { double detinv = 1 / det; double s = (xnm * ymk - ynm * xmk) * detinv; double t = (xlk * ymk - ylk * xmk) * detinv; if (s >= 0 && s <= 1 && t >= 0 && t <= 1) { s = s0 + s * (s1 - s0); t = t0 + t * (t1 - t0); if (s < 0 || s > 1 || t < 0 || t > 1) { System.out.println("Uh oh!"); } double y = (this.YforT(s) + that.YforT(t)) / 2; if (y <= yrange[1] && y > yrange[0]) { yrange[1] = y; return true; } } } //System.out.println("Testing lines!"); } return false; } public int compareTo(CurveObject that, double yrange[]) { /* System.out.println(this+".compareTo("+that+")"); System.out.println("target range = "+yrange[0]+"=>"+yrange[1]); */ if (order == 1) { return order1.compareTo(that, yrange); } double y0 = yrange[0]; double y1 = yrange[1]; //y1 = Math.min(Math.min(y1, this.getYBot()), that.getYBot()); y1 = Math.min(Math.min(y1, this.getYBot()), that.getYBot()); if (y1 <= yrange[0]) { System.err.println("this == " + this); System.err.println("that == " + that); System.out.println("target range = " + yrange[0] + "=>" + yrange[1]); throw new InternalError("backstepping from " + yrange[0] + " to " + y1); } yrange[1] = y1; if (this.getXMax() <= that.getXMin()) { if (this.getXMin() == that.getXMax()) { return 0; } return -1; } if (this.getXMin() >= that.getXMax()) { return 1; } // Parameter s for thi(s) curve and t for tha(t) curve // [st]0 = parameters for top of current section of interest // [st]1 = parameters for bottom of valid range // [st]h = parameters for hypothesis point // [d][xy]s = valuations of thi(s) curve at sh // [d][xy]t = valuations of tha(t) curve at th double s0 = this.TforY(y0); double ys0 = this.YforT(s0); if (ys0 < y0) { s0 = refineTforY(s0, ys0, y0); ys0 = this.YforT(s0); } double s1 = this.TforY(y1); if (this.YforT(s1) < y0) { s1 = refineTforY(s1, this.YforT(s1), y0); //System.out.println("s1 problem!"); } double t0 = that.TforY(y0); double yt0 = that.YforT(t0); if (yt0 < y0) { t0 = that.refineTforY(t0, yt0, y0); yt0 = that.YforT(t0); } double t1 = that.TforY(y1); if (that.YforT(t1) < y0) { t1 = that.refineTforY(t1, that.YforT(t1), y0); } double xs0 = this.XforT(s0); double xt0 = that.XforT(t0); double scale = Math.max(Math.abs(y0), Math.abs(y1)); double ymin = Math.max(scale * 1E-14, 1E-300); if (Curve.fairlyClose(xs0, xt0)) { double bump = ymin; double maxbump = Math.min(ymin * 1E13, (y1 - y0) * .1); double y = y0 + bump; while (y <= y1) { if (Curve.fairlyClose(this.XforY(y), that.XforY(y))) { if ((bump *= 2) > maxbump) { bump = maxbump; } } else { y -= bump; while (true) { bump /= 2; double newy = y + bump; if (newy <= y) { break; } if (Curve.fairlyClose(this.XforY(newy), that.XforY(newy))) { y = newy; } } break; } y += bump; } if (y > y0) { if (y < y1) { yrange[1] = y; } return 0; } } //double ymin = y1 * 1E-14; if (ymin <= 0) { System.out.println("ymin = " + ymin); } /* System.out.println("s range = "+s0+" to "+s1); System.out.println("t range = "+t0+" to "+t1); */ while (s0 < s1 && t0 < t1) { double sh = this.nextVertical(s0, s1); double xsh = this.XforT(sh); double ysh = this.YforT(sh); double th = that.nextVertical(t0, t1); double xth = that.XforT(th); double yth = that.YforT(th); /* System.out.println("sh = "+sh); System.out.println("th = "+th); */ try { if (findIntersect(that, yrange, ymin, 0, 0, s0, xs0, ys0, sh, xsh, ysh, t0, xt0, yt0, th, xth, yth)) { break; } } catch (Throwable t) { System.err.println("Error: " + t); System.err.println("y range was " + yrange[0] + "=>" + yrange[1]); System.err.println("s y range is " + ys0 + "=>" + ysh); System.err.println("t y range is " + yt0 + "=>" + yth); System.err.println("ymin is " + ymin); return 0; } if (ysh < yth) { if (ysh > yrange[0]) { if (ysh < yrange[1]) { yrange[1] = ysh; } break; } s0 = sh; xs0 = xsh; ys0 = ysh; } else { if (yth > yrange[0]) { if (yth < yrange[1]) { yrange[1] = yth; } break; } t0 = th; xt0 = xth; yt0 = yth; } } double ymid = (yrange[0] + yrange[1]) / 2; /* System.out.println("final this["+s0+", "+sh+", "+s1+"]"); System.out.println("final y["+ys0+", "+ysh+"]"); System.out.println("final that["+t0+", "+th+", "+t1+"]"); System.out.println("final y["+yt0+", "+yth+"]"); System.out.println("final order = "+orderof(this.XforY(ymid), that.XforY(ymid))); System.out.println("final range = "+yrange[0]+"=>"+yrange[1]); */ /* System.out.println("final sx = "+this.XforY(ymid)); System.out.println("final tx = "+that.XforY(ymid)); System.out.println("final order = "+orderof(this.XforY(ymid), that.XforY(ymid))); */ return Curve.orderof(this.XforY(ymid), that.XforY(ymid)); } public int getSegment(double coords[]) { switch (order) { case 0: return order0.getSegment(coords); case 1: return order1.getSegment(coords); case 2: return order2.getSegment(coords); case 3: return order3.getSegment(coords); default: return -7; } } public Object getSubCurve(double ystart, double yend, int dir) { //did return Curve switch (order) { case 0: return order0.getSubCurve(ystart, yend, dir); case 1: return order1.getSubCurve(ystart, yend, dir); case 2: return order2.getSubCurve(ystart, yend, dir); case 3: return order3.getSubCurve(ystart, yend, dir); default: return null; } } public void enlarge(Rectangle2D r) { switch (order) { case 0: order0.enlarge(r); case 1: order1.enlarge(r); case 2: order2.enlarge(r); case 3: order3.enlarge(r); default: return; } } public Object getWithDirection(int direction) { //return (this.direction == direction ? this : getReversedCurve()); //return (this.getDirection() == direction ? this : getReversedCurve()); switch (order) { case 0: return order0.getWithDirection(direction); case 1: return order1.getWithDirection(direction); case 2: return order2.getWithDirection(direction); case 3: return order3.getWithDirection(direction); default: return null; } } }