Merge duplicated plane implementatins into ACG

CI: https://www.graphics.rwth-aachen.de:9000/OpenFlipper-Free/OpenFlipper-Free/pipelines/8678

libs_required/ACG/Geometry/Types/PlaneType.cc

+/*===========================================================================*\
+ *                                                                           *
+ *                              OpenFlipper                                  *
+ *           Copyright (c) 2001-2015, RWTH-Aachen University                 *
+ *           Department of Computer Graphics and Multimedia                  *
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+ * This file is part of OpenFlipper.                                         *
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+ *                                                                           *
+\*===========================================================================*/
+
+#include "PlaneType.hh"
+
+namespace ACG {
+namespace Geometry {
+
+
+void Plane::setPlane(const ACG::Vec3d& _position, const ACG::Vec3d& _xDirection, const ACG::Vec3d& _yDirection)
+{
+  position   = _position;
+  xDirection = _xDirection;
+  yDirection = _yDirection;
+  normal     = (_xDirection % _yDirection).normalize();
+}
+
+//----------------------------------------------------------------
+
+void Plane::setPlane(const ACG::Vec3d& _position, const ACG::Vec3d& _normal)
+{
+
+  //find a non zero component
+  int comp = -1;
+  for (int i=0; i < 3; i++)
+    if ( _normal[i] != 0.0 ){
+      comp = i;
+      break;
+    }
+
+  if (comp == -1){
+    std::cerr << "PlaneNode: normal is invalid!" << std::endl;
+    return;
+  }
+
+  //compute orthogonal vectors in the plane
+  xDirection[comp] = (-_normal[ (comp + 1) % 3 ] - _normal[(comp + 2) % 3]) / _normal[comp];
+  xDirection[ (comp + 1) % 3 ] = 1;
+  xDirection[ (comp + 2) % 3 ] = 1;
+  xDirection = xDirection.normalize();
+
+  yDirection = _normal % xDirection;
+  yDirection = yDirection.normalize();
+
+  position = _position;
+  normal   = _normal;
+}
+
+//----------------------------------------------------------------
+
+void Plane::transform(const ACG::Matrix4x4d& _mat)
+{
+  position    = _mat.transform_point(position);
+  xDirection  = _mat.transform_vector(xDirection);
+  yDirection  = _mat.transform_vector(yDirection);
+
+  normal      = (xDirection % yDirection).normalize();
+}
+
+//----------------------------------------------------------------
+
+void Plane::setSize(double _xDirection, double _yDirection)
+{
+  xDirection = xDirection.normalize() * _xDirection;
+  yDirection = yDirection.normalize() * _yDirection;
+}
+
+}} // namespaces
+
+//=============================================================================