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geom2d Namespace Reference Simple 2D geometry. More... Classes class   Point class   PolarPoint class   Line Functions bool  circleCircleIntersection (double a1, double b1, double r1, double a2, double b2, double r2, double &px, double &py, double &qx, double &qy) double  dist (const Line &l, const Point &p)   perpendicular distance from a point to an (infinite) line Point  closestPointOnLine (const Line &line, const Point &point)   Returns the closest point to 'point' that lies on 'line'. bool  lineLineIntersection (const Line &l1, const Line &l2, Point &p) void  convertToRhoAlpha (const Line &line, double &rho, double &alpha) double  rho (const Line &line) double  alpha (const Line &line) double  dist (const Point &p1, const Point &p2)   Distance between points. double  dist (const PolarPoint &p1, const PolarPoint &p2)   Distance between points. double  distSq (const Point &p1, const Point &p2)   Squared distance between points. double  distSq (const PolarPoint &p1, const PolarPoint &p2)   Squared distance between points. bool  operator== (const Point &p1, const Point &p2)   equality bool  operator!= (const Point &p1, const Point &p2)   equality void  rotate (Point &p, double theta)   Rotate points about the origin. void  rotate (const Point &p, double theta, Point &q)   Rotate points about the origin. void  addTransform (Point &p, double x, double y, double theta) void  addTransform (const Point &p, double x, double y, double theta, Point &tp) void  subtractTransform (Point &p, double x, double y, double theta) void  subtractTransform (const Point &p, double x, double y, double theta, Point &tp) bool  circleCircleIntersection (const Point &c1, double r1, const Point &c2, double r2, Point &p, Point &q)   Convenience function. Circle centres are c1 and c2. double  dotProduct (double v1[2], double v2[2])   Dot-product of two 2D vectors. Point  closestPointToOrigin (const Line &l)   Returns the point on the line that's closest to the origin. Detailed Description Simple 2D geometry. This is a small library for simple 2D geometry. See also: libHydroGeom2d Function Documentation void geom2d::addTransform (  const Point &  p, double  x, double  y, double  theta, Point &  tp )  [inline]   add a transformation (x,y,theta) to a point (rotate then translate) void geom2d::addTransform (  Point &  p, double  x, double  y, double  theta )  [inline]   add a transformation (x,y,theta) to a point (rotate then translate) SOEXPORT double geom2d::alpha (  const Line &  line  )    Polar coords: (rho,alpha) is the length and angle of a perpendicular bisector from the origin. SOEXPORT bool geom2d::circleCircleIntersection (  double  a1, double  b1, double  r1, double  a2, double  b2, double  r2, double &  px, double &  py, double &  qx, double &  qy )    Find the intersection points of two circles. Returns false if they don't meet. Returns true if they do (and possibly a repeated intersection point if they meet at one point). Circle equation for centre=(a,b), radius=r is: (x-a)^2 + (y-b)^2 = r^2 Throws exceptions (std::string) for problems such as negative radius or co-incident circles. SOEXPORT void geom2d::convertToRhoAlpha (  const Line &  line, double &  rho, double &  alpha )    Polar coords: (rho,alpha) is the length and angle of a perpendicular bisector from the origin. SOEXPORT bool geom2d::lineLineIntersection (  const Line &  l1, const Line &  l2, Point &  p )    Intersection between two lines. Returns false if the lines don't intersect. SOEXPORT double geom2d::rho (  const Line &  line  )    Polar coords: (rho,alpha) is the length and angle of a perpendicular bisector from the origin. void geom2d::subtractTransform (  const Point &  p, double  x, double  y, double  theta, Point &  tp )  [inline]   subtract a transformation (x,y,theta) from a point (translate then rotate) void geom2d::subtractTransform (  Point &  p, double  x, double  y, double  theta )  [inline]   subtract a transformation (x,y,theta) from a point (translate then rotate)

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