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#include <Contap_ContAna.ixx>
#include <gp_XYZ.hxx>
#include <gp.hxx>
#define Tolpetit 1.e-8
Contap_ContAna::Contap_ContAna (): done(Standard_False) {}
void Contap_ContAna::Perform (const gp_Sphere& S,
const gp_Dir& D)
{
done = Standard_False;
typL = GeomAbs_Circle;
pt1 = S.Location();
dir1 = D;
if (Abs(D.Dot(S.XAxis().Direction())) < 0.9999999999999) {
dir2 = D.Crossed(S.XAxis().Direction());
}
else {
dir2 = D.Crossed(S.YAxis().Direction());
}
prm = S.Radius();
nbSol = 1;
done = Standard_True;
}
void Contap_ContAna::Perform (const gp_Sphere& S,
const gp_Dir& D,
const Standard_Real Angle)
{
done = Standard_False;
typL = GeomAbs_Circle;
dir1 = D;
if (Abs(D.Dot(S.XAxis().Direction())) < 0.9999999999999) {
dir2 = D.Crossed(S.XAxis().Direction());
}
else {
dir2 = D.Crossed(S.YAxis().Direction());
}
Standard_Real alpha = (S.Direct() ? Angle : -Angle);
pt1.SetXYZ(S.Location().XYZ() - S.Radius()*sin(alpha)*D.XYZ()) ;
prm = S.Radius()*cos(alpha);
nbSol = 1;
done = Standard_True;
}
void Contap_ContAna::Perform (const gp_Sphere& S,
const gp_Pnt& Eye)
{
done = Standard_False;
Standard_Real radius = S.Radius();
Standard_Real dist = Eye.Distance(S.Location());
if (dist <= radius) {
nbSol = 0;
}
else {
prm = radius*sqrt(1.-radius*radius/(dist*dist));
if (prm < Tolpetit) {
nbSol = 0;
}
else {
gp_XYZ locxyz(S.Location().XYZ());
dir1.SetXYZ(Eye.XYZ()-locxyz);
pt1.SetXYZ(locxyz + (radius*radius/dist)*dir1.XYZ());
if (Abs(dir1.Dot(S.XAxis().Direction())) < 0.9999999999999) {
dir2 = dir1.Crossed(S.XAxis().Direction());
}
else {
dir2 = dir1.Crossed(S.YAxis().Direction());
}
nbSol = 1;
typL = GeomAbs_Circle;
}
}
done = Standard_True;
}
void Contap_ContAna::Perform (const gp_Cylinder& C,
const gp_Dir& D)
{
done = Standard_False;
gp_XYZ normale(C.Position().Direction().XYZ());
normale.Cross(D.XYZ());
if (normale.Modulus() <= 1e-15) {
nbSol = 0;
}
else {
normale.Normalize();
typL = GeomAbs_Line;
dir1 = C.Position().Direction();
dir2 = dir1;
pt1.SetXYZ(C.Location().XYZ() + C.Radius()*normale);
pt2.SetXYZ(C.Location().XYZ() - C.Radius()*normale);
nbSol = 2;
}
done = Standard_True;
}
void Contap_ContAna::Perform (const gp_Cylinder& C,
const gp_Dir& D,
const Standard_Real Angle)
{
done = Standard_False;
Standard_Real Coefcos = D.Dot(C.Position().XDirection());
Standard_Real Coefsin = D.Dot(C.Position().YDirection());
Standard_Real Coefcst = cos(PI*0.5 + Angle);
Standard_Real norm1 = Coefcos*Coefcos + Coefsin*Coefsin;
Standard_Real norm2 = sqrt(norm1);
if (Abs(Coefcst) < norm2) {
typL = GeomAbs_Line;
nbSol = 2;
dir1 = dir2 = C.Position().Direction();
if (!C.Direct()) { // la normale est inversee.
Coefcos = -Coefcos;
Coefsin = -Coefsin;
}
// On doit resoudre Coefcos*cos(t) + Coefsin*sin(t) = Coefcst
// et les origines des droites solution sont dans le repere du
// cylindre en (R*cost0, R*sint0,0) et (R*cost1,R*sint1,0)
// En posant cos(phi) = Coefcos/Sqrt(Coefcos**2 + Coefsin**2) et
// sin(phi) = Coefsin/Sqrt(Coefcos**2 + Coefsin**2)
// et en utilisant les relations trigonometriques, on a sans resolution
// les valeurs des cosinus et sinus aux solutions.
prm = Sqrt(norm1 - Coefcst*Coefcst);
Standard_Real cost0,sint0,cost1,sint1;
cost0 = (Coefcos*Coefcst - Coefsin*prm)/norm1;
cost1 = (Coefcos*Coefcst + Coefsin*prm)/norm1;
sint0 = ( Coefcos*prm + Coefsin*Coefcst)/norm1;
sint1 = (-Coefcos*prm + Coefsin*Coefcst)/norm1;
gp_XYZ Xdir(C.Position().XDirection().XYZ());
gp_XYZ Ydir(C.Position().YDirection().XYZ());
gp_XYZ dirxyz;
dirxyz.SetLinearForm(cost0,Xdir,sint0,Ydir);
dirxyz.Multiply(C.Radius());
pt1.SetXYZ(C.Location().XYZ().Added(dirxyz));
dirxyz.SetLinearForm(cost1,Xdir,sint1,Ydir);
dirxyz.Multiply(C.Radius());
pt2.SetXYZ(C.Location().XYZ().Added(dirxyz));
}
else {
nbSol = 0;
}
done = Standard_True;
}
void Contap_ContAna::Perform (const gp_Cylinder& C,
const gp_Pnt& Eye)
{
done = Standard_False;
Standard_Real radius = C.Radius();
gp_Lin theaxis(C.Axis());
Standard_Real dist = theaxis.Distance(Eye);
if (dist <= radius) {
nbSol = 0;
}
else {
typL = GeomAbs_Line;
prm = radius*sqrt(1.-radius*radius/(dist*dist));
dir1 = C.Axis().Direction();
dir2 = dir1;
gp_XYZ axeye(theaxis.Normal(Eye).Direction().XYZ()); // oriente de l axe
// vers l exterieur
gp_XYZ normale((theaxis.Direction().Crossed(axeye)).XYZ());
// normale.Normalize();
pt1.SetXYZ(C.Location().XYZ() + (radius*radius/dist)*axeye);
pt2.SetXYZ(pt1.XYZ() - prm*normale);
pt1.SetXYZ(pt1.XYZ() + prm*normale);
nbSol = 2;
}
done = Standard_True;
}
void Contap_ContAna::Perform (const gp_Cone& C,
const gp_Dir& D)
{
done = Standard_False;
Standard_Real Tgtalpha = Tan(C.SemiAngle());
Standard_Real Coefcos = D.Dot(C.Position().XDirection());
Standard_Real Coefsin = D.Dot(C.Position().YDirection());
Standard_Real Coefcst = D.Dot(C.Axis().Direction())*Tgtalpha;
Standard_Real norm1 = Coefcos*Coefcos + Coefsin*Coefsin;
Standard_Real norm2 = Sqrt(norm1);
// if (Abs(Abs(Coefcst)-norm2) <= Tolpetit) { // tol angulaire 1.e-8
// typL = GeomAbs_Line;
// nbSol = 1;
// pt1 = C.Apex();
// dir1 = D;
// }
// else if (Abs(Coefcst) < norm2) {
if (Abs(Coefcst) < norm2) {
typL = GeomAbs_Line;
nbSol = 2;
pt1 = C.Apex();
pt2 = pt1;
// On doit resoudre Coefcos*cos(t) + Coefsin*sin(t) = Coefcst
// et les vecteurs directeurs des solutions sont
// cos(t0) * XDirection + sin(t0) * YDirection + ZDirection/Tgtalpha
// En posant cos(phi) = Coefcos/Sqrt(Coefcos**2 + Coefsin**2) et
// sin(phi) = Coefsin/Sqrt(Coefcos**2 + Coefsin**2)
// et en utilisant les relations trigonometriques, on a sans resolution
// les valeurs des cosinus et sinus aux solutions.
prm = Sqrt(norm1 - Coefcst*Coefcst);
Standard_Real cost0,sint0,cost1,sint1;
cost0 = (Coefcos*Coefcst - Coefsin*prm)/norm1;
cost1 = (Coefcos*Coefcst + Coefsin*prm)/norm1;
sint0 = ( Coefcos*prm + Coefsin*Coefcst)/norm1;
sint1 = (-Coefcos*prm + Coefsin*Coefcst)/norm1;
gp_XYZ Xdir(C.Position().XDirection().XYZ());
gp_XYZ Ydir(C.Position().YDirection().XYZ());
gp_XYZ Zdir(C.Axis().Direction().XYZ());
gp_XYZ dirxyz;
dirxyz.SetLinearForm(cost0,Xdir,sint0,Ydir,1./Tgtalpha,Zdir);
dir1.SetXYZ(dirxyz);
pt1.SetXYZ(pt1.XYZ()+dirxyz);
dirxyz.SetLinearForm(cost1,Xdir,sint1,Ydir,1./Tgtalpha,Zdir);
dir2.SetXYZ(dirxyz);
pt2.SetXYZ(pt2.XYZ()+dirxyz);
}
else {
nbSol = 0;
}
done = Standard_True;
}
void Contap_ContAna::Perform (const gp_Cone& C,
const gp_Dir& D,
const Standard_Real Angle)
{
done = Standard_False;
nbSol = 0;
Standard_Real Ang = C.SemiAngle();
Standard_Real Cosa = cos(Ang);
Standard_Real Sina = sin(Ang);
Standard_Real Coefcos = D.Dot(C.Position().XDirection());
Standard_Real Coefsin = D.Dot(C.Position().YDirection());
Standard_Real Coefcst1 = cos(PI*0.5 + Angle);
Standard_Real norm1 = Coefcos*Coefcos + Coefsin*Coefsin;
Standard_Real norm2 = Sqrt(norm1);
Standard_Real Coefnz = D.Dot(C.Axis().Direction())*Sina;
Standard_Real Coefcst = (Coefcst1 + Coefnz)/Cosa;
if (Abs(Coefcst) < norm2) {
typL = GeomAbs_Line;
nbSol+= 2;
pt1 = C.Apex();
pt2 = pt1;
// On doit resoudre Coefcos*cos(t) + Coefsin*sin(t) = Coefcst
// et les vecteurs directeurs des solutions sont
// cos(t0) * XDirection + sin(t0) * YDirection + ZDirection/Tgtalpha
// En posant cos(phi) = Coefcos/Sqrt(Coefcos**2 + Coefsin**2) et
// sin(phi) = Coefsin/Sqrt(Coefcos**2 + Coefsin**2)
// et en utilisant les relations trigonometriques, on a sans resolution
// les valeurs des cosinus et sinus aux solutions.
prm = Sqrt(norm1 - Coefcst*Coefcst);
Standard_Real cost0,sint0,cost1,sint1;
cost0 = (Coefcos*Coefcst - Coefsin*prm)/norm1;
cost1 = (Coefcos*Coefcst + Coefsin*prm)/norm1;
sint0 = ( Coefcos*prm + Coefsin*Coefcst)/norm1;
sint1 = (-Coefcos*prm + Coefsin*Coefcst)/norm1;
gp_XYZ Xdir(C.Position().XDirection().XYZ());
gp_XYZ Ydir(C.Position().YDirection().XYZ());
gp_XYZ Zdir(C.Axis().Direction().XYZ());
if (!C.Direct()) {
Zdir.Reverse();
}
gp_XYZ dirxyz;
dirxyz.SetLinearForm(cost0,Xdir,sint0,Ydir,Cosa/Sina,Zdir);
dir1.SetXYZ(dirxyz);
pt1.SetXYZ(pt1.XYZ()+dirxyz);
dirxyz.SetLinearForm(cost1,Xdir,sint1,Ydir,Cosa/Sina,Zdir);
dir2.SetXYZ(dirxyz);
pt2.SetXYZ(pt2.XYZ()+dirxyz);
}
Coefcst = (Coefcst1 - Coefnz)/Cosa;
if (Abs(Coefcst) < norm2) {
typL = GeomAbs_Line;
nbSol+= 2;
pt3 = C.Apex();
pt4 = pt3;
prm = Sqrt(norm1 - Coefcst*Coefcst);
Standard_Real cost0,sint0,cost1,sint1;
cost0 = (Coefcos*Coefcst - Coefsin*prm)/norm1;
cost1 = (Coefcos*Coefcst + Coefsin*prm)/norm1;
sint0 = ( Coefcos*prm + Coefsin*Coefcst)/norm1;
sint1 = (-Coefcos*prm + Coefsin*Coefcst)/norm1;
gp_XYZ Xdir(C.Position().XDirection().XYZ());
gp_XYZ Ydir(C.Position().YDirection().XYZ());
gp_XYZ Zdir(C.Axis().Direction().XYZ());
if (!C.Direct()) {
Zdir.Reverse();
}
gp_XYZ dirxyz;
dirxyz.SetLinearForm(cost0,Xdir,sint0,Ydir,-Cosa/Sina,Zdir);
dir3.SetXYZ(dirxyz);
pt3.SetXYZ(pt3.XYZ()+dirxyz);
dirxyz.SetLinearForm(cost1,Xdir,sint1,Ydir,-Cosa/Sina,Zdir);
dir4.SetXYZ(dirxyz);
pt4.SetXYZ(pt4.XYZ()+dirxyz);
if (nbSol == 2) {
pt1 = pt3;
pt2 = pt4;
dir1 = dir3;
dir2 = dir4;
}
}
done = Standard_True;
}
void Contap_ContAna::Perform (const gp_Cone& C,
const gp_Pnt& Eye)
{
done = Standard_False;
Standard_Real Tgtalpha = Tan(C.SemiAngle());
gp_XYZ apexeye(Eye.XYZ());
apexeye.Subtract(C.Apex().XYZ());
Standard_Real Coefcos = apexeye.Dot(C.Position().XDirection().XYZ());
Standard_Real Coefsin = apexeye.Dot(C.Position().YDirection().XYZ());
Standard_Real Coefcst = apexeye.Dot(C.Axis().Direction().XYZ())*Tgtalpha;
Standard_Real norm1 = Coefcos*Coefcos + Coefsin*Coefsin;
Standard_Real norm2 = Sqrt(Coefcos*Coefcos + Coefsin*Coefsin);
// if (Abs(Abs(Coefcst)-norm2) <= Tolpetit) { // tol angulaire 1.e-8
// typL = GeomAbs_Line;
// nbSol = 1;
// pt1 = C.Apex();
// dir1.SetXYZ(apexeye);
// }
// else if (Abs(Coefcst) < norm2) {
if (Abs(Coefcst) < norm2) {
typL = GeomAbs_Line;
nbSol = 2;
pt1 = C.Apex();
pt2 = pt1;
// On doit resoudre Coefcos*cos(t) + Coefsin*sin(t) = Coefcst
// et les vecteurs directeurs des solutions sont
// cos(t0) * XDirection + sin(t0) * YDirection + ZDirection/Tgtalpha
// En posant cos(phi) = Coefcos/Sqrt(Coefcos**2 + Coefsin**2) et
// sin(phi) = Coefsin/Sqrt(Coefcos**2 + Coefsin**2)
// et en utilisant les relations trigonometriques, on a sans resolution
// les valeurs des cosinus et sinus aux solutions.
prm = Sqrt(norm1 - Coefcst*Coefcst);
Standard_Real cost0,sint0,cost1,sint1;
cost0 = (Coefcos*Coefcst - Coefsin*prm)/norm1;
cost1 = (Coefcos*Coefcst + Coefsin*prm)/norm1;
sint0 = ( Coefcos*prm + Coefsin*Coefcst)/norm1;
sint1 = (-Coefcos*prm + Coefsin*Coefcst)/norm1;
gp_XYZ Xdir(C.Position().XDirection().XYZ());
gp_XYZ Ydir(C.Position().YDirection().XYZ());
gp_XYZ Zdir(C.Axis().Direction().XYZ());
gp_XYZ dirxyz;
dirxyz.SetLinearForm(cost0,Xdir,sint0,Ydir,1./Tgtalpha,Zdir);
dir1.SetXYZ(dirxyz);
pt1.SetXYZ(pt1.XYZ()+dirxyz);
dirxyz.SetLinearForm(cost1,Xdir,sint1,Ydir,1./Tgtalpha,Zdir);
dir2.SetXYZ(dirxyz);
pt2.SetXYZ(pt2.XYZ()+dirxyz);
}
else {
nbSol = 0;
}
done = Standard_True;
}
gp_Lin Contap_ContAna::Line (const Standard_Integer Index) const
{
if (!done) {StdFail_NotDone::Raise();}
if (typL != GeomAbs_Line || nbSol == 0) {Standard_DomainError::Raise();}
if (Index <=0 || Index > nbSol) {Standard_OutOfRange::Raise();}
switch (Index) {
case 1:
return gp_Lin(pt1,dir1);
case 2:
return gp_Lin(pt2,dir2);
case 3:
return gp_Lin(pt3,dir3);
case 4:
return gp_Lin(pt4,dir4);
}
Standard_OutOfRange::Raise("Erreur de programmation dans Contap_ContAna");
return gp_Lin();
}
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