sascha@1797: package de.intevation.flys.geom; sascha@1797: sascha@1797: import java.awt.geom.Point2D; sascha@1797: sascha@1797: public final class VectorUtils sascha@1797: { sascha@1797: public static final double EPSILON = 1e-4; sascha@1797: sascha@1797: private VectorUtils() { sascha@1797: } sascha@1797: sascha@1799: public static final double X(Point2D p) { sascha@1797: return p.getX(); sascha@1797: } sascha@1797: sascha@1799: public static final double Y(Point2D p) { sascha@1797: return p.getY(); sascha@1797: } sascha@1797: sascha@1797: public static final Point2D sub(Point2D a, Point2D b) { sascha@1797: return new Point2D.Double(X(a)-X(b), Y(a)-Y(b)); sascha@1797: } sascha@1797: sascha@1797: public static final double dot(Point2D a, Point2D b) { sascha@1797: return X(a)*X(b) + Y(a)*Y(b); sascha@1797: } sascha@1797: sascha@1797: public static final Point2D add(Point2D a, Point2D b) { sascha@1797: return new Point2D.Double(X(a)+X(b), Y(a)+Y(b)); sascha@1797: } sascha@1797: sascha@1797: public static final Point2D negate(Point2D a) { sascha@1797: return new Point2D.Double(-X(a), -Y(a)); sascha@1797: } sascha@1797: sascha@1797: public static final Point2D ortho(Point2D a) { sascha@1797: return new Point2D.Double(-Y(a), X(a)); sascha@1797: } sascha@1797: sascha@1797: public static final Point2D scale(Point2D a, double s) { sascha@1797: return new Point2D.Double(s*X(a), s*Y(a)); sascha@1797: } sascha@1797: sascha@1797: public static final double lengthSq(Point2D a) { sascha@1797: double x = X(a); sascha@1797: double y = Y(a); sascha@1797: return x*x + y*y; sascha@1797: } sascha@1797: sascha@1797: public static final double length(Point2D a) { sascha@1797: return Math.sqrt(lengthSq(a)); sascha@1797: } sascha@1797: sascha@1797: public static final Point2D normalize(Point2D a) { sascha@1797: double length = length(a); sascha@1797: return length != 0d sascha@1797: ? scale(a, 1d/length) sascha@1797: : new Point2D.Double(X(a), Y(a)); sascha@1797: } sascha@1797: sascha@1797: public static final double L1(Point2D a, Point2D b) { sascha@1797: return Math.abs(X(a)-X(b)) + Math.abs(Y(a)-Y(b)); sascha@1797: } sascha@1797: sascha@1797: public static final boolean collinear(Point2D a, Point2D b, Point2D c) { sascha@1797: double x1 = X(a); sascha@1797: double y1 = Y(a); sascha@1797: double x2 = X(b); sascha@1797: double y2 = Y(b); sascha@1797: double x3 = X(c); sascha@1797: double y3 = Y(c); sascha@1797: sascha@1797: return Math.abs((x2-x1)*(y3-y1)-(y2-y1)*(x3-x1)) < EPSILON; sascha@1797: } sascha@1797: sascha@1797: public static boolean epsilonEquals(Point2D a, Point2D b) { sascha@1797: return Math.abs(X(a)-X(b)) < EPSILON sascha@1797: && Math.abs(Y(a)-Y(b)) < EPSILON; sascha@1797: } sascha@1797: sascha@1797: } sascha@1797: // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 :