occt/src/Convert/Convert_ConeToBSplineSurface.cxx

// Copyright (c) 1995-1999 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.

//JCV 16/10/91

#include <Convert_ConeToBSplineSurface.hxx>
#include <gp.hxx>
#include <gp_Cone.hxx>
#include <gp_Trsf.hxx>
#include <Standard_DomainError.hxx>

static const Standard_Integer TheUDegree  = 2;
static const Standard_Integer TheVDegree  = 1;
static const Standard_Integer TheNbUKnots = 5;
static const Standard_Integer TheNbVKnots = 2;
static const Standard_Integer TheNbUPoles = 9;
static const Standard_Integer TheNbVPoles = 2;


static void ComputePoles( const Standard_Real R,
			  const Standard_Real A,
			  const Standard_Real U1,
			  const Standard_Real U2,
			  const Standard_Real V1,
			  const Standard_Real V2,
			        TColgp_Array2OfPnt& Poles)
{
  Standard_Real deltaU = U2 - U1;
  
  Standard_Integer i;

  // Number of spans : maximum opening = 150 degrees ( = PI / 1.2 rds)
  Standard_Integer 
    nbUSpans = (Standard_Integer)IntegerPart( 1.2 * deltaU / M_PI) + 1;
  Standard_Real AlfaU = deltaU / ( nbUSpans * 2);

  Standard_Real x[TheNbVPoles];
  Standard_Real z[TheNbVPoles];

  x[0] = R + V1 * Sin(A);
  z[0] =     V1 * Cos(A);
  x[1] = R + V2 * Sin(A);
  z[1] =     V2 * Cos(A);
 
  Standard_Real UStart = U1;
  Poles(1,1) = gp_Pnt(x[0]*Cos(UStart),x[0]*Sin(UStart),z[0]);
  Poles(1,2) = gp_Pnt(x[1]*Cos(UStart),x[1]*Sin(UStart),z[1]);
  
  for ( i = 1; i <= nbUSpans; i++) {
    Poles( 2*i, 1) = gp_Pnt( x[0] * Cos(UStart+AlfaU) / Cos(AlfaU),
			     x[0] * Sin(UStart+AlfaU) / Cos(AlfaU),
			     z[0] );
    Poles( 2*i, 2) = gp_Pnt( x[1] * Cos(UStart+AlfaU) / Cos(AlfaU),
			     x[1] * Sin(UStart+AlfaU) / Cos(AlfaU),
			     z[1] );
    Poles(2*i+1,1) = gp_Pnt( x[0] * Cos(UStart+2*AlfaU),
			     x[0] * Sin(UStart+2*AlfaU),
			     z[0] );
    Poles(2*i+1,2) = gp_Pnt( x[1] * Cos(UStart+2*AlfaU),
			     x[1] * Sin(UStart+2*AlfaU),
			     z[1] );
    UStart += 2*AlfaU;
  }
}


//=======================================================================
//function : Convert_ConeToBSplineSurface
//purpose  : 
//=======================================================================

Convert_ConeToBSplineSurface::Convert_ConeToBSplineSurface 
  (const gp_Cone&      C , 
   const Standard_Real U1, 
   const Standard_Real U2, 
   const Standard_Real V1, 
   const Standard_Real V2 ) 
: Convert_ElementarySurfaceToBSplineSurface (TheNbUPoles, TheNbVPoles, 
					     TheNbUKnots, TheNbVKnots,
					     TheUDegree , TheVDegree  ) 
{
  Standard_Real deltaU = U2 - U1;
  Standard_DomainError_Raise_if( (Abs(V2-V1) <= Abs(Epsilon(V1))) ||
				 (deltaU  >  2*M_PI)                || 
				 (deltaU  <  0.  ),
				 "Convert_ConeToBSplineSurface");

  isuperiodic = Standard_False;
  isvperiodic = Standard_False;

  Standard_Integer i,j;
  // construction of cone in the reference mark xOy.

  // Number of spans : maximum opening = 150 degrees ( = PI / 1.2 rds)
  Standard_Integer 
    nbUSpans = (Standard_Integer)IntegerPart( 1.2 * deltaU / M_PI) + 1;
  Standard_Real AlfaU = deltaU / ( nbUSpans * 2);

  nbUPoles = 2 * nbUSpans + 1;
  nbUKnots = nbUSpans + 1;

  nbVPoles = 2;
  nbVKnots = 2;

  Standard_Real R = C.RefRadius();
  Standard_Real A = C.SemiAngle();
  
  ComputePoles( R, A, U1, U2, V1, V2, poles);

  for ( i = 1; i<= nbUKnots; i++) {
    uknots(i) = U1 + (i-1) * 2 * AlfaU;
    umults(i) = 2;
  }
  umults(1)++; umults(nbUKnots)++;
  vknots(1) = V1; vmults(1) = 2;
  vknots(2) = V2; vmults(2) = 2;

  // Replace the bspline in the mark of the sphere.
  // and calculate the weight of the bspline.
  Standard_Real W1;
  gp_Trsf Trsf;
  Trsf.SetTransformation( C.Position(), gp::XOY());

  for ( i = 1; i <= nbUPoles; i++) {
    if ( i % 2 == 0)  W1 = Cos(AlfaU);
    else              W1 = 1.;

    for ( j = 1; j <= nbVPoles; j++) {
      weights( i, j) = W1;
      poles( i, j).Transform( Trsf);
    }
  }
}


//=======================================================================
//function : Convert_ConeToBSplineSurface
//purpose  : 
//=======================================================================

Convert_ConeToBSplineSurface::Convert_ConeToBSplineSurface 
  (const gp_Cone&      C , 
   const Standard_Real V1, 
   const Standard_Real V2 )
: Convert_ElementarySurfaceToBSplineSurface (TheNbUPoles, TheNbVPoles,
					     TheNbUKnots, TheNbVKnots,
					     TheUDegree,  TheVDegree)
{
  Standard_DomainError_Raise_if( Abs(V2-V1) <= Abs(Epsilon(V1)),
				 "Convert_ConeToBSplineSurface");

  Standard_Integer i,j;

  isuperiodic = Standard_True;
  isvperiodic = Standard_False;

  // construction of the cone in the reference mark xOy.

  Standard_Real R = C.RefRadius();
  Standard_Real A = C.SemiAngle();
  
  ComputePoles( R, A, 0., 2.*M_PI, V1, V2, poles); 

  nbUPoles = 6;
  nbUKnots = 4;
  nbVPoles = 2;
  nbVKnots = 2;
  
  for ( i = 1; i <= nbUKnots; i++) {
    uknots(i) = ( i-1) * 2. * M_PI /3.;
    umults(i) = 2;
  }
  vknots(1) = V1;  vmults(1) = 2;
  vknots(2) = V2;  vmults(2) = 2;

  // replace bspline in the mark of the cone.
  // and calculate the weight of bspline.
  Standard_Real W;
  gp_Trsf Trsf;
  Trsf.SetTransformation( C.Position(), gp::XOY());

  for ( i = 1; i <= nbUPoles; i++) {
    if ( i % 2 == 0)  W = 0.5;    // = Cos(pi /3)
    else              W = 1.;

    for ( j = 1; j <= nbVPoles; j++) {
      weights( i, j) = W;
      poles( i, j).Transform( Trsf);
    }
  }
}