--- a/src/GeomLib/GeomLib_Tool.cxx
+++ b/src/GeomLib/GeomLib_Tool.cxx
+class FuncSolveDeviation : public math_MultipleVarFunction

 protected:
 
-
-
-
-
 private:

+  //!     - theLine - the linear segment joining the point of theCurve having parameters
+  //!                 theFPar and theLPar.
+  Standard_EXPORT static
+    Standard_Real ComputeDeviation(const Geom2dAdaptor_Curve& theCurve,

-    if (n == 2)
+    if (n == 2) .
...
-
+    .

   switch (T2)
   {
-    case GeomAbs_Line:
-    {
+  case GeomAbs_Line:
+  {

+  theCommands.Add("2ddeviation", "deviation2d result curve [-i U0] [-d N] [-Napprox N] [-Nexact N] [-approxOnly]\n"

+//
+//            math_PSO Algorithm is used.
+//
+//           ATTENTION!!!
+//            The main idea of this method is to obtain rough value of returned
+//            parameter (fast but not precisely). The found value can be precised
+//            by 2nd method GeomLib_Tool::ComputeDevation(...) (see above).
+//=======================================================================
+Standard_Real GeomLib_Tool::ComputeDeviation(const Geom2dAdaptor_Curve& theCurve,

+  inline void GetLine(gp_Lin2d* const theLine) const
+  {

  //!     - @param thePtOnCurve - the point on curve where maximal deviation is achieved;

  //! @param thePtOnCurve - the point on curve where maximal deviation is achieved;

  //! Iterative method is used for computation. So, theStartParameter is
  //! needed to be set. Recommend value of theStartParameter can be found with
  //! the overloaded method.

  //! 1. The computed value is heavily dependent on the theStartParameter.
  //!  E.g. the method can reach a minimal value of the function instead of its
  //!  maximal value. Or it can reach some local (not global) maximum.
  //! 2. Recommend value of theStartParameter can be found with 
  //!  2nd method GeomLib_Tool::ComputeDevation (see below).

  //! The main idea of this method is to obtain rough value of returned
  //! parameter (fast but not precisely). The found value can be precised
  // !by 2nd method GeomLib_Tool::ComputeDevation(...) (see above).

  //! This algorithm cannot compute deviation precisely (so, there is no point in
  //! setting big value of theNbIters). But it can give some start point for
  //! the overloaded method.

  // !by 2nd method GeomLib_Tool::ComputeDevation(...) (see above).

+//function : ComputeDevation
...
+Standard_Real GeomLib_Tool::ComputeDeviation(const Geom2dAdaptor_Curve& theCurve,

+    else if (!strcmp(theArgv[aCurrArg], "-Nexact"))

+  char aBuff[1000];
+  theDI << "Computed value is: " << aDefl << "\n";
+
+  Sprintf(aBuff, "%s_pnt", theArgv[1]);

+  return  Sqrt(Abs(aSqDefl));

+  Standard_Real aSqDefl = -1.0;
...
+    return aSqDefl;
...
+  aSqDefl = RealLast();
+  aMPSO.Perform(aStep, aSqDefl, anOutputPnt, theNbIters);

+  const math_Vector aFPar(1, 1, theFPar);

+//! Target function to compute deviation of the source
+//! 2D-curve. It is one-variate function. Its parameter
+//! is a parameter on the curve. Deviation is a maximal

0030365: Modeling Algorithms - Create tool to compute deviation between any 2D-curve and some its segment

The tool, DRAW-command for its check and corresponding test cases have been created.

See documentation about new tool in GeomLib_Tool.hxx file.