[occt.git] / src / Convert / Convert_SphereToBSplineSurface.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 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_SphereToBSplineSurface.ixx>

#include <gp.hxx>
#include <gp_Trsf.hxx>

static const Standard_Integer TheUDegree  = 2;
static const Standard_Integer TheVDegree  = 2;
static const Standard_Integer MaxNbUKnots = 4;
static const Standard_Integer MaxNbVKnots = 3;
static const Standard_Integer MaxNbUPoles = 7;
static const Standard_Integer MaxNbVPoles = 5;


static void ComputePoles ( const Standard_Real R,
			   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_Real deltaV = V2 - V1;

  Standard_Integer i, j;

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

  Standard_Integer nbVP = 2 * nbVSpans + 1;

  Standard_Real x[MaxNbVPoles];
  Standard_Real z[MaxNbVPoles];

  x[0] = R * Cos( V1);
  z[0] = R * Sin( V1);

  Standard_Real VStart = V1;
  for ( i = 1; i <= nbVSpans; i++) {
    x[2*i-1] = R * Cos( VStart + AlfaV) / Cos( AlfaV);
    z[2*i-1] = R * Sin( VStart + AlfaV) / Cos( AlfaV);
    x[2*i]   = R * Cos( VStart + 2 * AlfaV);
    z[2*i]   = R * Sin( VStart + 2 * AlfaV);
    VStart += 2*AlfaV;
  }

  Standard_Real UStart = U1;
  for ( j = 0; j <= nbVP-1; j++) {
    Poles( 1, j+1) = gp_Pnt(x[j]*Cos(UStart),x[j]*Sin(UStart),z[j]);
  }

  for ( i = 1; i <= nbUSpans; i++) {
    for ( j = 0; j<= nbVP-1; j++) {
      Poles( 2*i, j+1) = gp_Pnt( x[j] * Cos(UStart+AlfaU) / Cos(AlfaU),
				 x[j] * Sin(UStart+AlfaU) / Cos(AlfaU),
				 z[j] );
      Poles(2*i+1,j+1) = gp_Pnt( x[j] * Cos(UStart+2*AlfaU),
			         x[j] * Sin(UStart+2*AlfaU),
			         z[j] );
    }
    UStart += 2*AlfaU;
  }
}

//=======================================================================
//function : Convert_SphereToBSplineSurface
//purpose  : 
//=======================================================================

Convert_SphereToBSplineSurface::Convert_SphereToBSplineSurface 
  (const gp_Sphere&    Sph,
   const Standard_Real U1 , 
   const Standard_Real U2 , 
   const Standard_Real V1 , 
   const Standard_Real V2  ) 
: Convert_ElementarySurfaceToBSplineSurface (MaxNbUPoles, MaxNbVPoles, 
					     MaxNbUKnots, MaxNbVKnots,
					     TheUDegree , TheVDegree)
{
  Standard_Real deltaU = U2 - U1;
  Standard_Real deltaV = V2 - V1;
  Standard_DomainError_Raise_if( (deltaU>2*M_PI) || (deltaU<0.) ||
				 (V1 < -M_PI/2.0) || (V2 > M_PI/2),
				"Convert_SphereToBSplineSurface");

  isuperiodic = Standard_False;
  isvperiodic = Standard_False;

  Standard_Integer i,j;
  // construction of the sphere 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_Integer  
    nbVSpans = (Standard_Integer)IntegerPart( 1.2 * deltaV / M_PI) + 1;
  Standard_Real AlfaU = deltaU / ( nbUSpans * 2);
  Standard_Real AlfaV = deltaV / ( nbVSpans * 2);

  nbUPoles = 2 * nbUSpans + 1;
  nbVPoles = 2 * nbVSpans + 1;
  nbUKnots = nbUSpans + 1;
  nbVKnots = nbVSpans + 1;

  Standard_Real R = Sph.Radius();

  ComputePoles( R, 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)++;
  for ( i = 1; i<= nbVKnots; i++) {
    vknots(i) = V1 + (i-1) * 2 * AlfaV;
    vmults(i) = 2;
  }
  vmults(1)++; vmults(nbVKnots)++;


  // Replace the bspline in the reference of the sphere.
  // and calculate the weight of the bspline.
  Standard_Real W1, W2;
  gp_Trsf Trsf;
  Trsf.SetTransformation( Sph.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++) {
      if ( j % 2 == 0)  W2 = Cos(AlfaV);
      else              W2 = 1.;

      weights( i, j) = W1 * W2;
      poles( i, j).Transform( Trsf);
    }
  }
}


//=======================================================================
//function : Convert_SphereToBSplineSurface
//purpose  : 
//=======================================================================

Convert_SphereToBSplineSurface::Convert_SphereToBSplineSurface 
  (const gp_Sphere&       Sph   , 
   const Standard_Real    Param1, 
   const Standard_Real    Param2,
   const Standard_Boolean UTrim  )
: Convert_ElementarySurfaceToBSplineSurface (MaxNbUPoles, MaxNbVPoles,
					     MaxNbUKnots, MaxNbVKnots,
					     TheUDegree , TheVDegree)
{
#ifndef No_Exception
  Standard_Real delta = Param2 - Param1;
#endif
  Standard_DomainError_Raise_if( (delta>2*M_PI) || (delta<0.),
				"Convert_SphereToBSplineSurface");

  Standard_Integer i, j;
  Standard_Real deltaU, deltaV;

  isuperiodic = !UTrim;
  isvperiodic = Standard_False;

  Standard_Real R = Sph.Radius();
  
  Standard_Real W1, W2, CosU, CosV;
  
  if ( isuperiodic) {
    ComputePoles(R, 0., 2.*M_PI, Param1, Param2, poles);
    
    nbUPoles = 6;
    nbUKnots = 4;
    
    deltaV = Param2 - Param1;
    Standard_Integer  
      nbVSpans = (Standard_Integer)IntegerPart( 1.2 * deltaV / M_PI) + 1;
    Standard_Real AlfaV = deltaV / ( nbVSpans * 2);
    nbVPoles = 2 * nbVSpans + 1;
    nbVKnots = nbVSpans + 1;
    
    for ( i = 1; i <= nbUKnots; i++) {
      uknots(i) = ( i-1) * 2. * M_PI /3.;
      umults(i) = 2;
    }
    for ( i = 1; i <= nbVKnots; i++) {
      vknots(i) = Param1 + (i-1) * 2 * AlfaV;
      vmults(i) = 2;
    }
    vmults(1)++; vmults(nbVKnots)++;
    
    CosU = 0.5;       // = Cos(pi /3)
    CosV = Cos(AlfaV);
  }
  else {
    ComputePoles(R, Param1, Param2, -M_PI/2., M_PI/2., poles);
    
    nbVPoles = 5;
    nbVKnots = 3;
    
    deltaU = Param2 - Param1;
    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;
    
    vknots(1) = -M_PI/2.;  vmults(1) = 3;
    vknots(2) =     0.;  vmults(2) = 2;
    vknots(3) =  M_PI/2.;  vmults(3) = 3;
    for ( i = 1; i <= nbUKnots; i++) {
      uknots(i) = Param1 + (i-1) * 2 * AlfaU;
      umults(i) = 2;
    }
    umults(1)++; umults(nbUKnots)++;

    CosV = 0.5;       // = Cos(pi /3)
    CosU = Cos(AlfaU);
  }

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

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

    for ( j = 1; j <= nbVPoles; j++) {
      if ( j % 2 == 0)  W2 = CosV;
      else              W2 = 1.;

      weights( i, j) = W1 * W2;
      poles( i, j).Transform( Trsf);
    }
  }
}


//=======================================================================
//function : Convert_SphereToBSplineSurface
//purpose  : 
//=======================================================================

Convert_SphereToBSplineSurface::Convert_SphereToBSplineSurface 
  (const gp_Sphere& Sph)
: Convert_ElementarySurfaceToBSplineSurface (MaxNbUPoles, MaxNbVPoles,
					     MaxNbUKnots, MaxNbVKnots,
					     TheUDegree , TheVDegree)
{
  isuperiodic = Standard_True;
  isvperiodic = Standard_False;

  Standard_Real W1, W2;
  Standard_Integer i, j;

  nbUPoles = 6;
  nbVPoles = 5;
  nbUKnots = 4;
  nbVKnots = 3;

  // Construction of the sphere in the reference mark xOy.
  
  Standard_Real R = Sph.Radius();

  ComputePoles( R, 0., 2.*M_PI, -M_PI/2., M_PI/2., poles);

  uknots( 1) = 0.;
  uknots( 2) = 2. * M_PI / 3.;
  uknots( 3) = 4. * M_PI / 3.;
  uknots( 4) = 2. * M_PI;
  vknots( 1) = -M_PI/2.;
  vknots( 2) =     0.;
  vknots( 3) =  M_PI/2.;
  for ( i = 1; i <= 4; i++) {
    umults( i) = 2;
  }
  vmults(1) = vmults(3) = 3;
  vmults(2) = 2;

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

  for ( i = 1; i <= nbUPoles; i++) {
    if ( i % 2 == 0)  W1 = 0.5;
    else              W1 = 1.;

    for ( j = 1; j <= nbVPoles; j++) {
      if ( j % 2 == 0)  W2 = Sqrt(2.) /2.;
      else              W2 = 1.;

      weights( i, j) = W1 * W2;
      poles( i, j).Transform( Trsf);
    }
  }
}
Commit	Line	Data
b311480e	1	// Copyright (c) 1995-1999 Matra Datavision
973c2be1	2	// Copyright (c) 1999-2014 OPEN CASCADE SAS
b311480e	3	//
973c2be1	4	// This file is part of Open CASCADE Technology software library.
b311480e	5	//
973c2be1	6	// This library is free software; you can redistribute it and / or modify it
	7	// under the terms of the GNU Lesser General Public version 2.1 as published
	8	// by the Free Software Foundation, with special exception defined in the file
	9	// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
	10	// distribution for complete text of the license and disclaimer of any warranty.
b311480e	11	//
973c2be1	12	// Alternatively, this file may be used under the terms of Open CASCADE
973c2be1	13	// commercial license or contractual agreement.
b311480e	14
7fd59977	15	//JCV 16/10/91
	16
	17	#include <Convert_SphereToBSplineSurface.ixx>
	18
	19	#include <gp.hxx>
	20	#include <gp_Trsf.hxx>
	21
	22	static const Standard_Integer TheUDegree = 2;
	23	static const Standard_Integer TheVDegree = 2;
	24	static const Standard_Integer MaxNbUKnots = 4;
	25	static const Standard_Integer MaxNbVKnots = 3;
	26	static const Standard_Integer MaxNbUPoles = 7;
	27	static const Standard_Integer MaxNbVPoles = 5;
	28
	29
	30	static void ComputePoles ( const Standard_Real R,
	31	const Standard_Real U1,
	32	const Standard_Real U2,
	33	const Standard_Real V1,
	34	const Standard_Real V2,
	35	TColgp_Array2OfPnt& Poles)
	36	{
	37	Standard_Real deltaU = U2 - U1;
	38	Standard_Real deltaV = V2 - V1;
	39
	40	Standard_Integer i, j;
	41
0d969553	42	// Number of spans : maximum opening = 150 degrees ( = PI / 1.2 rds)
7fd59977	43	Standard_Integer
c6541a0c	44	nbUSpans = (Standard_Integer)IntegerPart( 1.2 * deltaU / M_PI) + 1;
7fd59977	45	Standard_Integer
c6541a0c	46	nbVSpans = (Standard_Integer)IntegerPart( 1.2 * deltaV / M_PI) + 1;
7fd59977	47	Standard_Real AlfaU = deltaU / ( nbUSpans * 2);
	48	Standard_Real AlfaV = deltaV / ( nbVSpans * 2);
	49
	50	Standard_Integer nbVP = 2 * nbVSpans + 1;
	51
	52	Standard_Real x[MaxNbVPoles];
	53	Standard_Real z[MaxNbVPoles];
	54
	55	x[0] = R * Cos( V1);
	56	z[0] = R * Sin( V1);
	57
	58	Standard_Real VStart = V1;
	59	for ( i = 1; i <= nbVSpans; i++) {
	60	x[2i-1] = R Cos( VStart + AlfaV) / Cos( AlfaV);
	61	z[2i-1] = R Sin( VStart + AlfaV) / Cos( AlfaV);
	62	x[2i] = R Cos( VStart + 2 * AlfaV);
	63	z[2i] = R Sin( VStart + 2 * AlfaV);
	64	VStart += 2*AlfaV;
	65	}
	66
	67	Standard_Real UStart = U1;
	68	for ( j = 0; j <= nbVP-1; j++) {
	69	Poles( 1, j+1) = gp_Pnt(x[j]Cos(UStart),x[j]Sin(UStart),z[j]);
	70	}
	71
	72	for ( i = 1; i <= nbUSpans; i++) {
	73	for ( j = 0; j<= nbVP-1; j++) {
	74	Poles( 2i, j+1) = gp_Pnt( x[j] Cos(UStart+AlfaU) / Cos(AlfaU),
	75	x[j] * Sin(UStart+AlfaU) / Cos(AlfaU),
	76	z[j] );
	77	Poles(2i+1,j+1) = gp_Pnt( x[j] Cos(UStart+2*AlfaU),
	78	x[j] * Sin(UStart+2*AlfaU),
	79	z[j] );
	80	}
	81	UStart += 2*AlfaU;
	82	}
	83	}
	84
	85	//=======================================================================
	86	//function : Convert_SphereToBSplineSurface
	87	//purpose :
	88	//=======================================================================
	89
	90	Convert_SphereToBSplineSurface::Convert_SphereToBSplineSurface
	91	(const gp_Sphere& Sph,
	92	const Standard_Real U1 ,
	93	const Standard_Real U2 ,
	94	const Standard_Real V1 ,
	95	const Standard_Real V2 )
	96	: Convert_ElementarySurfaceToBSplineSurface (MaxNbUPoles, MaxNbVPoles,
	97	MaxNbUKnots, MaxNbVKnots,
	98	TheUDegree , TheVDegree)
	99	{
	100	Standard_Real deltaU = U2 - U1;
	101	Standard_Real deltaV = V2 - V1;
c6541a0c D	102	Standard_DomainError_Raise_if( (deltaU>2*M_PI) \|\| (deltaU<0.) \|\|
c6541a0c D	103	(V1 < -M_PI/2.0) \|\| (V2 > M_PI/2),
7fd59977	104	"Convert_SphereToBSplineSurface");
	105
	106	isuperiodic = Standard_False;
	107	isvperiodic = Standard_False;
	108
	109	Standard_Integer i,j;
0d969553	110	// construction of the sphere in the reference mark xOy.
7fd59977	111
0d969553	112	// Number of spans : maximum opening = 150 degrees ( = PI / 1.2 rds)
7fd59977	113	Standard_Integer
c6541a0c	114	nbUSpans = (Standard_Integer)IntegerPart( 1.2 * deltaU / M_PI) + 1;
7fd59977	115	Standard_Integer
c6541a0c	116	nbVSpans = (Standard_Integer)IntegerPart( 1.2 * deltaV / M_PI) + 1;
7fd59977	117	Standard_Real AlfaU = deltaU / ( nbUSpans * 2);
	118	Standard_Real AlfaV = deltaV / ( nbVSpans * 2);
	119
	120	nbUPoles = 2 * nbUSpans + 1;
	121	nbVPoles = 2 * nbVSpans + 1;
	122	nbUKnots = nbUSpans + 1;
	123	nbVKnots = nbVSpans + 1;
	124
	125	Standard_Real R = Sph.Radius();
	126
	127	ComputePoles( R, U1, U2, V1, V2, poles);
	128
	129	for ( i = 1; i<= nbUKnots; i++) {
	130	uknots(i) = U1 + (i-1) * 2 * AlfaU;
	131	umults(i) = 2;
	132	}
	133	umults(1)++; umults(nbUKnots)++;
	134	for ( i = 1; i<= nbVKnots; i++) {
	135	vknots(i) = V1 + (i-1) * 2 * AlfaV;
	136	vmults(i) = 2;
	137	}
	138	vmults(1)++; vmults(nbVKnots)++;
	139
	140
0d969553 Y	141	// Replace the bspline in the reference of the sphere.
0d969553 Y	142	// and calculate the weight of the bspline.
7fd59977	143	Standard_Real W1, W2;
	144	gp_Trsf Trsf;
	145	Trsf.SetTransformation( Sph.Position(), gp::XOY());
	146
	147	for ( i = 1; i <= nbUPoles; i++) {
	148	if ( i % 2 == 0) W1 = Cos(AlfaU);
	149	else W1 = 1.;
	150
	151	for ( j = 1; j <= nbVPoles; j++) {
	152	if ( j % 2 == 0) W2 = Cos(AlfaV);
	153	else W2 = 1.;
	154
	155	weights( i, j) = W1 * W2;
	156	poles( i, j).Transform( Trsf);
	157	}
	158	}
	159	}
	160
	161
	162	//=======================================================================
	163	//function : Convert_SphereToBSplineSurface
	164	//purpose :
	165	//=======================================================================
	166
	167	Convert_SphereToBSplineSurface::Convert_SphereToBSplineSurface
	168	(const gp_Sphere& Sph ,
	169	const Standard_Real Param1,
	170	const Standard_Real Param2,
	171	const Standard_Boolean UTrim )
	172	: Convert_ElementarySurfaceToBSplineSurface (MaxNbUPoles, MaxNbVPoles,
	173	MaxNbUKnots, MaxNbVKnots,
	174	TheUDegree , TheVDegree)
	175	{
	176	#ifndef No_Exception
	177	Standard_Real delta = Param2 - Param1;
	178	#endif
c6541a0c	179	Standard_DomainError_Raise_if( (delta>2*M_PI) \|\| (delta<0.),
7fd59977	180	"Convert_SphereToBSplineSurface");
	181
	182	Standard_Integer i, j;
	183	Standard_Real deltaU, deltaV;
	184
	185	isuperiodic = !UTrim;
	186	isvperiodic = Standard_False;
	187
	188	Standard_Real R = Sph.Radius();
	189
	190	Standard_Real W1, W2, CosU, CosV;
	191
	192	if ( isuperiodic) {
c6541a0c	193	ComputePoles(R, 0., 2.*M_PI, Param1, Param2, poles);
7fd59977	194
	195	nbUPoles = 6;
	196	nbUKnots = 4;
	197
	198	deltaV = Param2 - Param1;
	199	Standard_Integer
c6541a0c	200	nbVSpans = (Standard_Integer)IntegerPart( 1.2 * deltaV / M_PI) + 1;
7fd59977	201	Standard_Real AlfaV = deltaV / ( nbVSpans * 2);
	202	nbVPoles = 2 * nbVSpans + 1;
	203	nbVKnots = nbVSpans + 1;
	204
	205	for ( i = 1; i <= nbUKnots; i++) {
c6541a0c	206	uknots(i) = ( i-1) * 2. * M_PI /3.;
7fd59977	207	umults(i) = 2;
	208	}
	209	for ( i = 1; i <= nbVKnots; i++) {
	210	vknots(i) = Param1 + (i-1) * 2 * AlfaV;
	211	vmults(i) = 2;
	212	}
	213	vmults(1)++; vmults(nbVKnots)++;
	214
	215	CosU = 0.5; // = Cos(pi /3)
	216	CosV = Cos(AlfaV);
	217	}
	218	else {
c6541a0c	219	ComputePoles(R, Param1, Param2, -M_PI/2., M_PI/2., poles);
7fd59977	220
	221	nbVPoles = 5;
	222	nbVKnots = 3;
	223
	224	deltaU = Param2 - Param1;
	225	Standard_Integer
c6541a0c	226	nbUSpans = (Standard_Integer)IntegerPart( 1.2 * deltaU / M_PI) + 1;
7fd59977	227	Standard_Real AlfaU = deltaU / ( nbUSpans * 2);
	228	nbUPoles = 2 * nbUSpans + 1;
	229	nbUKnots = nbUSpans + 1;
	230
c6541a0c	231	vknots(1) = -M_PI/2.; vmults(1) = 3;
7fd59977	232	vknots(2) = 0.; vmults(2) = 2;
c6541a0c	233	vknots(3) = M_PI/2.; vmults(3) = 3;
7fd59977	234	for ( i = 1; i <= nbUKnots; i++) {
	235	uknots(i) = Param1 + (i-1) * 2 * AlfaU;
	236	umults(i) = 2;
	237	}
	238	umults(1)++; umults(nbUKnots)++;
	239
	240	CosV = 0.5; // = Cos(pi /3)
	241	CosU = Cos(AlfaU);
	242	}
	243
0d969553 Y	244	// Replace the bspline in the mark of the sphere.
0d969553 Y	245	// and calculate the weight of bspline.
7fd59977	246	gp_Trsf Trsf;
	247	Trsf.SetTransformation( Sph.Position(), gp::XOY());
	248
	249	for ( i = 1; i <= nbUPoles; i++) {
	250	if ( i % 2 == 0) W1 = CosU;
	251	else W1 = 1.;
	252
	253	for ( j = 1; j <= nbVPoles; j++) {
	254	if ( j % 2 == 0) W2 = CosV;
	255	else W2 = 1.;
	256
	257	weights( i, j) = W1 * W2;
	258	poles( i, j).Transform( Trsf);
	259	}
	260	}
	261	}
	262
	263
	264	//=======================================================================
	265	//function : Convert_SphereToBSplineSurface
	266	//purpose :
	267	//=======================================================================
	268
	269	Convert_SphereToBSplineSurface::Convert_SphereToBSplineSurface
	270	(const gp_Sphere& Sph)
	271	: Convert_ElementarySurfaceToBSplineSurface (MaxNbUPoles, MaxNbVPoles,
	272	MaxNbUKnots, MaxNbVKnots,
	273	TheUDegree , TheVDegree)
	274	{
	275	isuperiodic = Standard_True;
	276	isvperiodic = Standard_False;
	277
	278	Standard_Real W1, W2;
	279	Standard_Integer i, j;
	280
	281	nbUPoles = 6;
	282	nbVPoles = 5;
	283	nbUKnots = 4;
	284	nbVKnots = 3;
	285
0d969553	286	// Construction of the sphere in the reference mark xOy.
7fd59977	287
	288	Standard_Real R = Sph.Radius();
	289
c6541a0c	290	ComputePoles( R, 0., 2.*M_PI, -M_PI/2., M_PI/2., poles);
7fd59977	291
7fd59977	292	uknots( 1) = 0.;
c6541a0c D	293	uknots( 2) = 2. * M_PI / 3.;
	294	uknots( 3) = 4. * M_PI / 3.;
	295	uknots( 4) = 2. * M_PI;
	296	vknots( 1) = -M_PI/2.;
7fd59977	297	vknots( 2) = 0.;
c6541a0c	298	vknots( 3) = M_PI/2.;
7fd59977	299	for ( i = 1; i <= 4; i++) {
	300	umults( i) = 2;
	301	}
	302	vmults(1) = vmults(3) = 3;
	303	vmults(2) = 2;
	304
0d969553 Y	305	// Replace the bspline in the mark of the sphere.
0d969553 Y	306	// and calculate the weight of the bspline.
7fd59977	307	gp_Trsf Trsf;
	308	Trsf.SetTransformation( Sph.Position(), gp::XOY());
	309
	310	for ( i = 1; i <= nbUPoles; i++) {
	311	if ( i % 2 == 0) W1 = 0.5;
	312	else W1 = 1.;
	313
	314	for ( j = 1; j <= nbVPoles; j++) {
	315	if ( j % 2 == 0) W2 = Sqrt(2.) /2.;
	316	else W2 = 1.;
	317
	318	weights( i, j) = W1 * W2;
	319	poles( i, j).Transform( Trsf);
	320	}
	321	}
	322	}
	323