libopencascade-foundation-dev 6.5.0.dfsg-2build1 / usr / include / opencascade / Bnd_B2x.gxx

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// File:      Bnd_B2x.gxx
// Created:   08.09.05 19:37:06
// Author:    Alexander GRIGORIEV
// Copyright: Open Cascade 2005

inline Standard_Boolean _compareDist  (const RealType aHSize[2],
                                       const RealType aDist[2])
{
  return (Abs(aDist[0]) > aHSize[0] || Abs(aDist[1]) > aHSize[1]);
}

inline Standard_Boolean _compareDistD (const gp_XY& aHSize, const gp_XY& aDist)
{
  return (Abs(aDist.X()) > aHSize.X() || Abs(aDist.Y()) > aHSize.Y());
}

//=======================================================================
//function : Add
//purpose  : Update the box by a point
//=======================================================================

void Bnd_B2x::Add (const gp_XY& thePnt) {
  if (IsVoid()) {
    myCenter[0] = RealType(thePnt.X());
    myCenter[1] = RealType(thePnt.Y());
    myHSize [0] = 0.;
    myHSize [1] = 0.;
  } else {
    const RealType aDiff[2] = {
      RealType(thePnt.X()) - myCenter[0],
      RealType(thePnt.Y()) - myCenter[1]
    };
    if (aDiff[0] > myHSize[0]) {
      const RealType aShift = (aDiff[0] - myHSize[0]) / 2;
      myCenter[0] += aShift;
      myHSize [0] += aShift;
    } else if (aDiff[0] < -myHSize[0]) {
      const RealType aShift = (aDiff[0] + myHSize[0]) / 2;
      myCenter[0] += aShift;
      myHSize [0] -= aShift;
    }
    if (aDiff[1] > myHSize[1]) {
      const RealType aShift = (aDiff[1] - myHSize[1]) / 2;
      myCenter[1] += aShift;
      myHSize [1] += aShift;
    } else if (aDiff[1] < -myHSize[1]) {
      const RealType aShift = (aDiff[1] + myHSize[1]) / 2;
      myCenter[1] += aShift;
      myHSize [1] -= aShift;
    }
  }
}

//=======================================================================
//function : Limit
//purpose  : limit the current box with the internals of theBox
//=======================================================================

Standard_Boolean Bnd_B2x::Limit (const Bnd_B2x& theBox)
{
  Standard_Boolean aResult (Standard_False);
  const RealType diffC[2] = {
    theBox.myCenter[0] - myCenter[0],
    theBox.myCenter[1] - myCenter[1]
  };
  const RealType sumH[2] = {
    theBox.myHSize[0] + myHSize[0],
    theBox.myHSize[1] + myHSize[1]
  };
  // check the condition IsOut
  if (_compareDist (sumH, diffC) == Standard_False) {
    const RealType diffH[2] = {
      theBox.myHSize[0] - myHSize[0],
      theBox.myHSize[1] - myHSize[1]
    };
    if (diffC[0] - diffH[0] > 0.) {
      const RealType aShift = (diffC[0] - diffH[0]) / 2; // positive
      myCenter[0] += aShift;
      myHSize [0] -= aShift;
    } else if (diffC[0] + diffH[0] < 0.) {
      const RealType aShift = (diffC[0] + diffH[0]) / 2; // negative
      myCenter[0] += aShift;
      myHSize [0] += aShift;
    }
    if (diffC[1] - diffH[1] > 0.) {
      const RealType aShift = (diffC[1] - diffH[1]) / 2; // positive
      myCenter[1] += aShift;
      myHSize [1] -= aShift;
    } else if (diffC[1] + diffH[1] < 0.) {
      const RealType aShift = (diffC[1] + diffH[1]) / 2; // negative
      myCenter[1] += aShift;
      myHSize [1] += aShift;
    }
    aResult = Standard_True;
  }
  return aResult;
}

//=======================================================================
//function : Transformed
//purpose  : 
//=======================================================================

Bnd_B2x Bnd_B2x::Transformed (const gp_Trsf2d& theTrsf) const
{
  Bnd_B2x aResult;
  const gp_TrsfForm aForm = theTrsf.Form();
  const Standard_Real aScale = theTrsf.ScaleFactor();
  const Standard_Real aScaleAbs = Abs(aScale);
  if (aForm == gp_Identity)
    aResult = * this;
  else if (aForm== gp_Translation || aForm== gp_PntMirror || aForm== gp_Scale)
  {
    aResult.myCenter[0] =
      (RealType)(myCenter[0] * aScale + theTrsf.TranslationPart().X());
    aResult.myCenter[1] =
      (RealType)(myCenter[1] * aScale + theTrsf.TranslationPart().Y());
    aResult.myHSize[0] = (RealType)(myHSize[0] * aScaleAbs);
    aResult.myHSize[1] = (RealType)(myHSize[1] * aScaleAbs);
  } else {
    gp_XY aCenter ((Standard_Real)myCenter[0],
                   (Standard_Real)myCenter[1]);
    theTrsf.Transforms (aCenter);
    aResult.myCenter[0] = (RealType)aCenter.X();
    aResult.myCenter[1] = (RealType)aCenter.Y();

    const Standard_Real * aMat = &theTrsf.HVectorialPart().Value(1,1);
    aResult.myHSize[0] = (RealType)(aScaleAbs * (Abs(aMat[0]) * myHSize[0]+
                                                 Abs(aMat[1]) * myHSize[1]));
    aResult.myHSize[1] = (RealType)(aScaleAbs * (Abs(aMat[2]) * myHSize[0]+
                                                 Abs(aMat[3]) * myHSize[1]));
  }
  return aResult;
}

//=======================================================================
//function : IsOut
//purpose  : Intersection Box - Circle
//=======================================================================

Standard_Boolean Bnd_B2x::IsOut (const gp_XY&           theCenter,
                                 const Standard_Real    theRadius,
                                 const Standard_Boolean isCircleHollow) const
{
  Standard_Boolean aResult (Standard_True);
  if (isCircleHollow == Standard_False) {
    // vector from the center of the circle to the nearest box face
    const Standard_Real aDist[2] = {
      Abs(theCenter.X()-Standard_Real(myCenter[0])) - Standard_Real(myHSize[0]),
      Abs(theCenter.Y()-Standard_Real(myCenter[1])) - Standard_Real(myHSize[1])
    };
    Standard_Real aD (0.);
    if (aDist[0] > 0.)
      aD  = aDist[0]*aDist[0];
    if (aDist[1] > 0.)
      aD += aDist[1]*aDist[1];
    aResult = (aD > theRadius*theRadius);
  } else {
    const Standard_Real aDistC[2] = {
      Abs(theCenter.X()-Standard_Real(myCenter[0])),
      Abs(theCenter.Y()-Standard_Real(myCenter[1]))
    };
    // vector from the center of the circle to the nearest box face
    Standard_Real aDist[2] = {
      aDistC[0] - Standard_Real(myHSize[0]),
      aDistC[1] - Standard_Real(myHSize[1])
    };
    Standard_Real aD (0.);
    if (aDist[0] > 0.)
      aD  = aDist[0]*aDist[0];
    if (aDist[1] > 0.)
      aD += aDist[1]*aDist[1];
    if (aD < theRadius*theRadius) {
      // the box intersects the solid circle; check if it is completely
      // inside the circle (in such case return isOut==True)
      aDist[0] = aDistC[0] + Standard_Real(myHSize[0]);
      aDist[1] = aDistC[1] + Standard_Real(myHSize[1]);
      if (aDist[0]*aDist[0]+aDist[1]*aDist[1] > theRadius*theRadius)
        aResult = Standard_False;
    }
  }
  return aResult;
}

//=======================================================================
//function : IsOut
//purpose  : Intersection Box - transformed Box
//=======================================================================

Standard_Boolean Bnd_B2x::IsOut (const Bnd_B2x&   theBox,
                                 const gp_Trsf2d& theTrsf) const
{
  Standard_Boolean aResult (Standard_False);
  const gp_TrsfForm aForm = theTrsf.Form();
  const Standard_Real aScale = theTrsf.ScaleFactor();
  const Standard_Real aScaleAbs = Abs(aScale);
  if (aForm == gp_Translation || aForm == gp_Identity ||
      aForm == gp_PntMirror   || aForm == gp_Scale)
  {
    aResult =
      (Abs (RealType(theBox.myCenter[0]*aScale + theTrsf.TranslationPart().X())
            - myCenter[0])
         > RealType (theBox.myHSize[0]*aScaleAbs) + myHSize[0] ||
       Abs (RealType(theBox.myCenter[1]*aScale + theTrsf.TranslationPart().Y())
            - myCenter[1])
         > RealType (theBox.myHSize[1]*aScaleAbs) + myHSize[1]);

  }
  else {
    // theBox is transformed and we check the resulting (enlarged) box against
    // 'this' box.
    const Standard_Real * aMat = &theTrsf.HVectorialPart().Value(1,1);

    gp_XY aCenter ((Standard_Real)theBox.myCenter[0],
                   (Standard_Real)theBox.myCenter[1]);
    theTrsf.Transforms (aCenter);
    const Standard_Real aDist[2] = {
      aCenter.X() - (Standard_Real)myCenter[0],
      aCenter.Y() - (Standard_Real)myCenter[1]
    };
    const Standard_Real aMatAbs[4] = {
      Abs(aMat[0]), Abs(aMat[1]), Abs(aMat[2]), Abs(aMat[3])
    };
    if (Abs(aDist[0]) > (aScaleAbs * (aMatAbs[0]*theBox.myHSize[0]+
                                      aMatAbs[1]*theBox.myHSize[1]) +
                         (Standard_Real)myHSize[0])    ||
        Abs(aDist[1]) > (aScaleAbs * (aMatAbs[2]*theBox.myHSize[0]+
                                      aMatAbs[3]*theBox.myHSize[1]) +
                         (Standard_Real)myHSize[1]))
      aResult = Standard_True;

    else {
    // theBox is rotated, scaled and translated. We apply the reverse
    // translation and scaling then check against the rotated box 'this'
      if ((Abs(aMat[0]*aDist[0]+aMat[2]*aDist[1])
           > theBox.myHSize[0]*aScaleAbs + (aMatAbs[0]*myHSize[0] +
                                            aMatAbs[2]*myHSize[1])) ||
          (Abs(aMat[1]*aDist[0]+aMat[3]*aDist[1])
           > theBox.myHSize[1]*aScaleAbs + (aMatAbs[1]*myHSize[0] +
                                            aMatAbs[3]*myHSize[1])))
        aResult = Standard_True;
    }
  }
  return aResult;
}

//=======================================================================
//function : IsOut
//purpose  : Intersection Box - Line
//=======================================================================

Standard_Boolean Bnd_B2x::IsOut (const gp_Ax2d& theLine) const
{
  if (IsVoid())
    return Standard_True;
  // Intersect the line containing the segment.
  const Standard_Real aProd[3] = {
    theLine.Direction().XY() ^ (gp_XY (myCenter[0] - theLine.Location().X(),
                                       myCenter[1] - theLine.Location().Y())),
    theLine.Direction().X() * Standard_Real(myHSize[1]),
    theLine.Direction().Y() * Standard_Real(myHSize[0])
  };
  return (Abs(aProd[0]) > (Abs(aProd[1]) + Abs(aProd[2])));
}

//=======================================================================
//function : IsOut
//purpose  : Intersection Box - Segment
//=======================================================================

Standard_Boolean Bnd_B2x::IsOut (const gp_XY& theP0, const gp_XY& theP1) const
{
  Standard_Boolean aResult (Standard_True);
  if (IsVoid() == Standard_False)
  {
    // Intersect the line containing the segment.
    const gp_XY aSegDelta (theP1 - theP0);
    const Standard_Real aProd[3] = {
      aSegDelta ^ (gp_XY (myCenter[0], myCenter[1]) - theP0),
      aSegDelta.X() * Standard_Real(myHSize[1]),
      aSegDelta.Y() * Standard_Real(myHSize[0])
    };
    if (Abs(aProd[0]) < (Abs(aProd[1]) + Abs(aProd[2])))
    {
      // Intersection with line detected; check the segment as bounding box
      const gp_XY aHSeg    (0.5 * aSegDelta.X(), 0.5 * aSegDelta.Y());
      const gp_XY aHSegAbs (Abs(aHSeg.X()), Abs(aHSeg.Y()));
      aResult = _compareDistD (gp_XY((Standard_Real)myHSize[0],
                                     (Standard_Real)myHSize[1]) + aHSegAbs,
                               theP0 + aHSeg-gp_XY((Standard_Real)myCenter[0],
                                                   (Standard_Real)myCenter[1]));
    }
  }
  return aResult;
}

//=======================================================================
//function : IsIn
//purpose  : Test the complete inclusion of this box in transformed theOtherBox
//=======================================================================

Standard_Boolean Bnd_B2x::IsIn (const Bnd_B2x&   theBox,
                                const gp_Trsf2d& theTrsf) const
{
  Standard_Boolean aResult (Standard_False);
  const gp_TrsfForm aForm = theTrsf.Form();
  const Standard_Real aScale = theTrsf.ScaleFactor();
  const Standard_Real aScaleAbs = Abs(aScale);
  if (aForm == gp_Translation || aForm == gp_Identity ||
      aForm == gp_PntMirror   || aForm == gp_Scale)
  {
    aResult =
      (Abs (RealType(theBox.myCenter[0]*aScale + theTrsf.TranslationPart().X())
            - myCenter[0])
         < RealType (theBox.myHSize[0]*aScaleAbs) - myHSize[0] &&
       Abs (RealType(theBox.myCenter[1]*aScale + theTrsf.TranslationPart().Y())
            - myCenter[1])
         < RealType (theBox.myHSize[1]*aScaleAbs) - myHSize[1]);

  } else {
    // theBox is rotated, scaled and translated. We apply the reverse
    // translation and scaling then check against the rotated box 'this'
    const Standard_Real * aMat = &theTrsf.HVectorialPart().Value(1,1);
    gp_XY aCenter ((Standard_Real)theBox.myCenter[0],
                   (Standard_Real)theBox.myCenter[1]);
    theTrsf.Transforms (aCenter);
    const Standard_Real aDist[2] = {
      aCenter.X() - (Standard_Real)myCenter[0],
      aCenter.Y() - (Standard_Real)myCenter[1]
    };
    if ((Abs(aMat[0]*aDist[0]+aMat[2]*aDist[1])
         < theBox.myHSize[0]*aScaleAbs - (Abs(aMat[0])*myHSize[0] +
                                          Abs(aMat[2])*myHSize[1])) &&
        (Abs(aMat[1]*aDist[0]+aMat[3]*aDist[1])
         < theBox.myHSize[1]*aScaleAbs - (Abs(aMat[1])*myHSize[0] +
                                          Abs(aMat[3])*myHSize[1])))
      aResult = Standard_True;
  }
  return aResult;
}

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