// Copyright (c) 1991-1999 Matra Datavision
// Copyright (c) 1999-2014 OPEN CASCADE SAS
//
// This file is part of Open CASCADE Technology software library.
//
// This library is free software; you can redistribute it and/or modify it under
// the terms of the GNU Lesser General Public License version 2.1 as published
// by the Free Software Foundation, with special exception defined in the file
// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
// distribution for complete text of the license and disclaimer of any warranty.
//
// Alternatively, this file may be used under the terms of Open CASCADE
// commercial license or contractual agreement.

#ifndef _gp_Ax1_HeaderFile
#define _gp_Ax1_HeaderFile

#include <gp_Pnt.hxx>
#include <gp_Dir.hxx>

class gp_Ax2;
class gp_Trsf;
class gp_Vec;

//! Describes an axis in 3D space.
//! An axis is defined by:
//! -   its origin (also referred to as its "Location point"), and
//! -   its unit vector (referred to as its "Direction" or "main   Direction").
//! An axis is used:
//! -   to describe 3D geometric entities (for example, the
//! axis of a revolution entity). It serves the same purpose
//! as the STEP function "axis placement one axis", or
//! -   to define geometric transformations (axis of
//! symmetry, axis of rotation, and so on).
//! For example, this entity can be used to locate a geometric entity
//! or to define a symmetry axis.
class gp_Ax1 
{
public:

  DEFINE_STANDARD_ALLOC

  //! Creates an axis object representing Z axis of
  //! the reference coordinate system.
  gp_Ax1()
  : loc(0.,0.,0.), vdir(0.,0.,1.)
  {}

  //! P is the location point and V is the direction of <me>.
  gp_Ax1 (const gp_Pnt& theP, const gp_Dir& theV)
  : loc(theP), vdir (theV)
  {}

  //! Assigns V as the "Direction"  of this axis.
  void SetDirection (const gp_Dir& theV) { vdir = theV; }

  //! Assigns  P as the origin of this axis.
  void SetLocation (const gp_Pnt& theP) { loc = theP; }

  //! Returns the direction of <me>.
  const gp_Dir& Direction() const { return vdir; }

  //! Returns the location point of <me>.
  const gp_Pnt& Location() const { return loc; }

  //! Returns True if  :
  //! . the angle between <me> and <Other> is lower or equal
  //! to <AngularTolerance> and
  //! . the distance between <me>.Location() and <Other> is lower
  //! or equal to <LinearTolerance> and
  //! . the distance between <Other>.Location() and <me> is lower
  //! or equal to LinearTolerance.
  Standard_EXPORT Standard_Boolean IsCoaxial (const gp_Ax1& Other, const Standard_Real AngularTolerance, const Standard_Real LinearTolerance) const;

  //! Returns True if the direction of this and another axis are normal to each other.
  //! That is, if the angle between the two axes is equal to Pi/2.
  //! Note: the tolerance criterion is given by theAngularTolerance.
  Standard_Boolean IsNormal (const gp_Ax1& theOther, const Standard_Real theAngularTolerance) const
  {
    return vdir.IsNormal (theOther.vdir, theAngularTolerance);
  }

  //! Returns True if the direction of this and another axis are parallel with opposite orientation.
  //! That is, if the angle between the two axes is equal to Pi.
  //! Note: the tolerance criterion is given by theAngularTolerance.
  Standard_Boolean IsOpposite (const gp_Ax1& theOther, const Standard_Real theAngularTolerance) const
  {
    return vdir.IsOpposite (theOther.vdir, theAngularTolerance);
  }

  //! Returns True if the direction of this and another axis are parallel with same orientation or opposite orientation.
  //! That is, if the angle between the two axes is equal to 0 or Pi.
  //! Note: the tolerance criterion is given by theAngularTolerance.
  Standard_Boolean IsParallel (const gp_Ax1& theOther, const Standard_Real theAngularTolerance) const
  {
    return vdir.IsParallel(theOther.vdir, theAngularTolerance);
  }

  //! Computes the angular value, in radians, between this.Direction() and theOther.Direction().
  //! Returns the angle between 0 and 2*PI radians.
  Standard_Real Angle (const gp_Ax1& theOther) const { return vdir.Angle (theOther.vdir); }

  //! Reverses the unit vector of this axis and assigns the result to this axis.
  void Reverse() { vdir.Reverse(); }

  //! Reverses the unit vector of this axis and creates a new one.
  Standard_NODISCARD gp_Ax1 Reversed() const
  {
    gp_Dir D = vdir.Reversed();
    return gp_Ax1 (loc, D);
  }

  //! Performs the symmetrical transformation of an axis
  //! placement with respect to the point P which is the
  //! center of the symmetry and assigns the result to this axis.
  Standard_EXPORT void Mirror (const gp_Pnt& P);

  //! Performs the symmetrical transformation of an axis
  //! placement with respect to the point P which is the
  //! center of the symmetry and creates a new axis.
  Standard_NODISCARD Standard_EXPORT gp_Ax1 Mirrored (const gp_Pnt& P) const;

  //! Performs the symmetrical transformation of an axis
  //! placement with respect to an axis placement which
  //! is the axis of the symmetry and assigns the result to this axis.
  Standard_EXPORT void Mirror (const gp_Ax1& A1);

  //! Performs the symmetrical transformation of an axis
  //! placement with respect to an axis placement which
  //! is the axis of the symmetry and creates a new axis.
  Standard_NODISCARD Standard_EXPORT gp_Ax1 Mirrored (const gp_Ax1& A1) const;

  //! Performs the symmetrical transformation of an axis
  //! placement with respect to a plane. The axis placement
  //! <A2> locates the plane of the symmetry :
  //! (Location, XDirection, YDirection) and assigns the result to this axis.
  Standard_EXPORT void Mirror (const gp_Ax2& A2);

  //! Performs the symmetrical transformation of an axis
  //! placement with respect to a plane. The axis placement
  //! <A2> locates the plane of the symmetry :
  //! (Location, XDirection, YDirection) and creates a new axis.
  Standard_NODISCARD Standard_EXPORT gp_Ax1 Mirrored (const gp_Ax2& A2) const;

  //! Rotates this axis at an angle theAngRad (in radians) about the axis theA1
  //! and assigns the result to this axis.
  void Rotate (const gp_Ax1& theA1, const Standard_Real theAngRad)
  {
    loc .Rotate (theA1, theAngRad);
    vdir.Rotate (theA1, theAngRad);
  }

  //! Rotates this axis at an angle theAngRad (in radians) about the axis theA1
  //! and creates a new one.
  Standard_NODISCARD gp_Ax1 Rotated (const gp_Ax1& theA1, const Standard_Real theAngRad) const
  {
    gp_Ax1 A = *this;
    A.Rotate (theA1, theAngRad);
    return A;
  }

  //! Applies a scaling transformation to this axis with:
  //! - scale factor theS, and
  //! - center theP and assigns the result to this axis.
  void Scale (const gp_Pnt& theP, const Standard_Real theS)
  {
    loc.Scale (theP, theS);
    if (theS < 0.0) { vdir.Reverse(); }
  }

  //! Applies a scaling transformation to this axis with:
  //! - scale factor theS, and
  //! - center theP and creates a new axis.
  Standard_NODISCARD gp_Ax1 Scaled (const gp_Pnt& theP, const Standard_Real theS) const
  {
    gp_Ax1 A1 = *this;
    A1.Scale (theP, theS);
    return A1;
  }

  //! Applies the transformation theT to this axis and assigns the result to this axis.
  void Transform (const gp_Trsf& theT)
  {
    loc .Transform (theT);
    vdir.Transform (theT);
  }

  //! Applies the transformation theT to this axis and creates a new one.
  //!
  //! Translates an axis plaxement in the direction of the vector <V>.
  //! The magnitude of the translation is the vector's magnitude.
  Standard_NODISCARD gp_Ax1 Transformed (const gp_Trsf& theT) const
  {
    gp_Ax1 A1 = *this;
    A1.Transform (theT);
    return A1;
  }

  //! Translates this axis by the vector theV, and assigns the result to this axis.
  void Translate (const gp_Vec& theV) { loc.Translate (theV); }

  //! Translates this axis by the vector theV,
  //! and creates a new one.
  Standard_NODISCARD gp_Ax1 Translated (const gp_Vec& theV) const
  {
    gp_Ax1 A1 = *this;
    (A1.loc).Translate (theV); 
    return A1;
  }

  //! Translates this axis by:
  //! the vector (theP1, theP2) defined from point theP1 to point theP2.
  //! and assigns the result to this axis.
  void Translate (const gp_Pnt& theP1, const gp_Pnt& theP2) { loc.Translate (theP1, theP2); }

  //! Translates this axis by:
  //! the vector (theP1, theP2) defined from point theP1 to point theP2.
  //! and creates a new one.
  Standard_NODISCARD gp_Ax1 Translated (const gp_Pnt& theP1, const gp_Pnt& theP2) const
  {
    gp_Ax1 A1 = *this;
    (A1.loc).Translate (theP1, theP2);
    return A1;
  }

  //! Dumps the content of me into the stream
  Standard_EXPORT void DumpJson (Standard_OStream& theOStream, Standard_Integer theDepth = -1) const;

  //! Inits the content of me from the stream
  Standard_EXPORT Standard_Boolean InitFromJson (const Standard_SStream& theSStream, Standard_Integer& theStreamPos);

private:

  gp_Pnt loc;
  gp_Dir vdir;

};

#endif // _gp_Ax1_HeaderFile