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occt/src/BlendFunc/BlendFunc_ChAsymInv.cxx

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// Created on: 1998-06-04
// Created by: Philippe NOUAILLE
// Copyright (c) 1998-1999 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.
#include <Adaptor2d_Curve2d.hxx>
#include <BlendFunc.hxx>
#include <BlendFunc_ChAsymInv.hxx>
#include <math_Matrix.hxx>
#include <Precision.hxx>
//=======================================================================
//function : BlendFunc_ChAsymInv
//purpose :
//=======================================================================
BlendFunc_ChAsymInv::BlendFunc_ChAsymInv(const Handle(Adaptor3d_Surface)& S1,
const Handle(Adaptor3d_Surface)& S2,
const Handle(Adaptor3d_Curve)& C) :
surf1(S1),surf2(S2),
dist1(RealLast()),
angle(RealLast()),
tgang(RealLast()),
curv(C), choix(0),
first(Standard_False),
FX(1, 4),
DX(1, 4, 1, 4)
{
}
//=======================================================================
//function : Set
//purpose :
//=======================================================================
void BlendFunc_ChAsymInv::Set(const Standard_Real Dist1,
const Standard_Real Angle,
const Standard_Integer Choix)
{
dist1 = Abs(Dist1);
angle = Angle;
tgang = Tan(Angle);
choix = Choix;
}
//=======================================================================
//function : NbEquations
//purpose :
//=======================================================================
Standard_Integer BlendFunc_ChAsymInv::NbEquations () const
{
return 4;
}
//=======================================================================
//function : GetTolerance
//purpose :
//=======================================================================
void BlendFunc_ChAsymInv::Set(const Standard_Boolean OnFirst,
const Handle(Adaptor2d_Curve2d)& C)
{
first = OnFirst;
csurf = C;
}
//=======================================================================
//function : GetTolerance
//purpose :
//=======================================================================
void BlendFunc_ChAsymInv::GetTolerance(math_Vector& Tolerance, const Standard_Real Tol) const
{
Tolerance(1) = csurf->Resolution(Tol);
Tolerance(2) = curv->Resolution(Tol);
if (first) {
Tolerance(3) = surf2->UResolution(Tol);
Tolerance(4) = surf2->VResolution(Tol);
}
else {
Tolerance(3) = surf1->UResolution(Tol);
Tolerance(4) = surf1->VResolution(Tol);
}
}
//=======================================================================
//function : GetBounds
//purpose :
//=======================================================================
void BlendFunc_ChAsymInv::GetBounds(math_Vector& InfBound, math_Vector& SupBound) const
{
InfBound(1) = csurf->FirstParameter();
InfBound(2) = curv->FirstParameter();
SupBound(1) = csurf->LastParameter();
SupBound(2) = curv->LastParameter();
if (first) {
InfBound(3) = surf2->FirstUParameter();
InfBound(4) = surf2->FirstVParameter();
SupBound(3) = surf2->LastUParameter();
SupBound(4) = surf2->LastVParameter();
if(!Precision::IsInfinite(InfBound(3)) &&
!Precision::IsInfinite(SupBound(3))) {
const Standard_Real range = (SupBound(3) - InfBound(3));
InfBound(3) -= range;
SupBound(3) += range;
}
if(!Precision::IsInfinite(InfBound(4)) &&
!Precision::IsInfinite(SupBound(4))) {
const Standard_Real range = (SupBound(4) - InfBound(4));
InfBound(4) -= range;
SupBound(4) += range;
}
}
else {
InfBound(3) = surf1->FirstUParameter();
InfBound(4) = surf1->FirstVParameter();
SupBound(3) = surf1->LastUParameter();
SupBound(4) = surf1->LastVParameter();
if(!Precision::IsInfinite(InfBound(3)) &&
!Precision::IsInfinite(SupBound(3))) {
const Standard_Real range = (SupBound(3) - InfBound(3));
InfBound(3) -= range;
SupBound(3) += range;
}
if(!Precision::IsInfinite(InfBound(4)) &&
!Precision::IsInfinite(SupBound(4))) {
const Standard_Real range = (SupBound(4) - InfBound(4));
InfBound(4) -= range;
SupBound(4) += range;
}
}
}
//=======================================================================
//function : IsSolution
//purpose :
//=======================================================================
Standard_Boolean BlendFunc_ChAsymInv::IsSolution(const math_Vector& Sol,
const Standard_Real Tol)
{
math_Vector valsol(1, 4);
gp_Pnt pts1, pts2, ptgui;
gp_Vec nplan, d1gui, Nsurf1, tsurf1;
gp_Vec d1u1, d1v1;
curv->D1(Sol(2), ptgui, d1gui);
nplan = d1gui.Normalized();
gp_Pnt2d pt2d(csurf->Value(Sol(1)));
if (first) {
surf1->D1(pt2d.X(), pt2d.Y(), pts1, d1u1, d1v1);
pts2 = surf2->Value(Sol(3), Sol(4));
}
else {
surf1->D1(Sol(3), Sol(4), pts1, d1u1, d1v1);
pts2 = surf2->Value(pt2d.X(), pt2d.Y());
}
Nsurf1 = d1u1.Crossed(d1v1);
tsurf1 = Nsurf1.Crossed(nplan);
gp_Vec s1s2(pts1, pts2);
Standard_Real PScaInv = 1. / tsurf1.Dot(s1s2), temp;// ,F4;
Standard_Real Nordu1 = d1u1.Magnitude(),
Nordv1 = d1v1.Magnitude();
temp = 2. * (Nordu1 + Nordv1) * s1s2.Magnitude() + 2. * Nordu1 * Nordv1;
Value(Sol, valsol);
if (Abs(valsol(1)) < Tol &&
Abs(valsol(2)) < Tol &&
Abs(valsol(3)) < 2. * dist1 * Tol &&
Abs(valsol(4)) < Tol * (1. + tgang) * Abs(PScaInv) * temp) {
return Standard_True;
}
return Standard_False;
}
//=======================================================================
//function : ComputeValues
//purpose :
//=======================================================================
Standard_Boolean BlendFunc_ChAsymInv::ComputeValues(const math_Vector& X,
const Standard_Integer DegF,
const Standard_Integer DegL)
{
if (DegF > DegL) return Standard_False;
gp_Vec nplan, dnplan, d1gui, d2gui, d1u1, d1v1, d2u1, d2v1, d2uv1, d1u2, d1v2;
gp_Vec Nsurf1, tsurf1;
gp_Pnt pts1, pts2, ptgui;
Standard_Real PScaInv, F4;
Standard_Real Normg = 0.;
gp_Pnt2d pt2d;
gp_Vec2d v2d;
if ( (DegF == 0) && (DegL == 0) ) {
curv->D1(X(2), ptgui, d1gui);
nplan = d1gui.Normalized();
if (choix%2 != 0) nplan.Reverse();
pt2d = csurf->Value(X(1));
if (first) {
surf1->D1(pt2d.X(), pt2d.Y(), pts1, d1u1, d1v1);
pts2 = surf2->Value(X(3), X(4));
}
else {
surf1->D1(X(3), X(4), pts1, d1u1, d1v1);
pts2 = surf2->Value(pt2d.X(), pt2d.Y());
}
}
else {
curv->D2(X(2), ptgui, d1gui, d2gui);
nplan = d1gui.Normalized();
Normg = d1gui.Magnitude();
dnplan = (d2gui - nplan.Dot(d2gui) * nplan) / Normg;
if (choix%2 != 0) {
nplan.Reverse();
dnplan.Reverse();
Normg = - Normg;
}
csurf->D1(X(1), pt2d, v2d);
if (first) {
surf1->D2(pt2d.X(), pt2d.Y(), pts1, d1u1, d1v1, d2u1, d2v1, d2uv1);
surf2->D1(X(3), X(4), pts2, d1u2, d1v2);
}
else {
surf1->D2(X(3), X(4), pts1, d1u1, d1v1, d2u1, d2v1, d2uv1);
surf2->D1(pt2d.X(), pt2d.Y(), pts2, d1u2, d1v2);
}
}
gp_Vec nps1(ptgui, pts1), s1s2(pts1, pts2);
Nsurf1 = d1u1.Crossed(d1v1);
tsurf1 = Nsurf1.Crossed(nplan);
PScaInv = 1. / s1s2.Dot(tsurf1);
F4 = nplan.Dot(tsurf1.Crossed(s1s2)) * PScaInv;
if (DegF == 0) {
Standard_Real Dist;
Dist = ptgui.XYZ().Dot(nplan.XYZ());
FX(1) = pts1.XYZ().Dot(nplan.XYZ()) - Dist;
FX(2) = pts2.XYZ().Dot(nplan.XYZ()) - Dist;
FX(3) = dist1 * dist1 - nps1.SquareMagnitude();
FX(4) = tgang - F4;
}
if (DegL == 1) {
gp_Vec dwtsurf1, tempVec;
Standard_Real temp;
gp_Vec nps2(ptgui, pts2);
if (first) {
gp_Vec dw1du1, dw1dv1, dw1csurf, dw1pts1;
dw1pts1 = v2d.X() * d1u1 + v2d.Y() * d1v1;
dw1du1 = v2d.X() * d2u1 + v2d.Y() * d2uv1;
dw1dv1 = v2d.X() * d2uv1 + v2d.Y() * d2v1;
dw1csurf = (dw1du1.Crossed(d1v1) + d1u1.Crossed(dw1dv1)).Crossed(nplan);
dwtsurf1 = Nsurf1.Crossed(dnplan);
DX(1, 1) = nplan.Dot(dw1pts1);
DX(1, 2) = dnplan.Dot(nps1) - Normg;
DX(1, 3) = 0.;
DX(1, 4) = 0.;
DX(2, 1) = 0.;
DX(2, 2) = dnplan.Dot(nps2) - Normg;
DX(2, 3) = nplan.Dot(d1u2);
DX(2, 4) = nplan.Dot(d1v2);
tempVec = 2. * nps1;
DX(3, 1) = -dw1pts1.Dot(tempVec);
DX(3, 2) = d1gui.Dot(tempVec);
DX(3, 3) = 0.;
DX(3, 4) = 0.;
temp = F4 * (dw1csurf.Dot(s1s2) - tsurf1.Dot(dw1pts1));
temp += nplan.Dot(tsurf1.Crossed(dw1pts1) - dw1csurf.Crossed(s1s2));
DX(4, 1) = PScaInv * temp;
temp = F4 * dwtsurf1.Dot(s1s2);
temp -= dnplan.Dot(tempVec) + nplan.Dot(dwtsurf1.Crossed(s1s2));
DX(4, 2) = PScaInv * temp;
temp = F4 * tsurf1.Dot(d1u2) - nplan.Dot(tsurf1.Crossed(d1u2));
DX(4, 3) = PScaInv * temp;
temp = F4 * tsurf1.Dot(d1v2) - nplan.Dot(tsurf1.Crossed(d1v2));
DX(4, 4) = PScaInv * temp;
}
else {
gp_Vec d1utsurf1, d1vtsurf1, dw2pts2;
d1utsurf1 = (d2u1.Crossed(d1v1) + d1u1.Crossed(d2uv1)).Crossed(nplan);
d1vtsurf1 = (d2uv1.Crossed(d1v1) + d1u1.Crossed(d2v1)).Crossed(nplan);
dw2pts2 = v2d.X() * d1u2 + v2d.Y() * d1v2;
dwtsurf1 = Nsurf1.Crossed(dnplan);
DX(1, 1) = 0.;
DX(1, 2) = dnplan.Dot(nps1) - Normg;
DX(1, 3) = nplan.Dot(d1u1);
DX(1, 4) = nplan.Dot(d1v1);
DX(2, 1) = nplan.Dot(dw2pts2);
DX(2, 2) = dnplan.Dot(nps2) - Normg;
DX(2, 3) = 0.;
DX(2, 4) = 0.;
tempVec = 2. * nps1;
DX(3, 1) = 0.;
DX(3, 2) = d1gui.Dot(tempVec);
tempVec.Reverse();
DX(3, 3) = d1u1.Dot(tempVec);
DX(3, 4) = d1v1.Dot(tempVec);
temp = F4 * tsurf1.Dot(dw2pts2) - nplan.Dot(tsurf1.Crossed(dw2pts2));
DX(4, 1) = PScaInv * temp;
temp = F4 * dwtsurf1.Dot(s1s2);
temp -= dnplan.Dot(tempVec) + nplan.Dot(dwtsurf1.Crossed(s1s2));
DX(4, 2) = PScaInv * temp;
temp = F4 * (d1utsurf1.Dot(s1s2) - tsurf1.Dot(d1u1));
temp += nplan.Dot(tsurf1.Crossed(d1u1) - d1utsurf1.Crossed(s1s2));
DX(4, 3) = PScaInv * temp;
temp = F4 * (d1vtsurf1.Dot(s1s2) - tsurf1.Dot(d1v1));
temp += nplan.Dot(tsurf1.Crossed(d1v1) - d1vtsurf1.Crossed(s1s2));
DX(4, 4) = PScaInv * temp;
}
}
return Standard_True;
}
//=======================================================================
//function : Value
//purpose :
//=======================================================================
Standard_Boolean BlendFunc_ChAsymInv::Value(const math_Vector& X, math_Vector& F)
{
const Standard_Boolean Error = ComputeValues(X, 0, 0);
F = FX;
return Error;
}
//=======================================================================
//function : Derivatives
//purpose :
//=======================================================================
Standard_Boolean BlendFunc_ChAsymInv::Derivatives(const math_Vector& X, math_Matrix& D)
{
const Standard_Boolean Error = ComputeValues(X, 1, 1);
D = DX;
return Error;
}
//=======================================================================
//function : Values
//purpose :
//=======================================================================
Standard_Boolean BlendFunc_ChAsymInv::Values(const math_Vector& X,
math_Vector& F,
math_Matrix& D)
{
const Standard_Boolean Error = ComputeValues(X, 0, 1);
F = FX;
D = DX;
return Error;
/* std::cout<<std::endl;
std::cout<<" test ChAsymInv"<<std::endl;
std::cout<<"calcul exact <--> approche"<<std::endl;
math_Vector X1(1,4);
math_Vector F1(1,4);
X1 = X; X1(1) += 1.e-10;
Value(X1,F1);
std::cout<<"D(1,1) : "<<D(1,1)<<" "<<(F1(1) - F(1)) * 1.e10<<std::endl;
std::cout<<"D(2,1) : "<<D(2,1)<<" "<<(F1(2) - F(2)) * 1.e10<<std::endl;
std::cout<<"D(3,1) : "<<D(3,1)<<" "<<(F1(3) - F(3)) * 1.e10<<std::endl;
std::cout<<"D(4,1) : "<<D(4,1)<<" "<<(F1(4) - F(4)) * 1.e10<<std::endl;
X1 = X; X1(2) += 1.e-10;
Value(X1,F1);
std::cout<<"D(1,2) : "<<D(1,2)<<" "<<(F1(1) - F(1)) * 1.e10<<std::endl;
std::cout<<"D(2,2) : "<<D(2,2)<<" "<<(F1(2) - F(2)) * 1.e10<<std::endl;
std::cout<<"D(3,2) : "<<D(3,2)<<" "<<(F1(3) - F(3)) * 1.e10<<std::endl;
std::cout<<"D(4,2) : "<<D(4,2)<<" "<<(F1(4) - F(4)) * 1.e10<<std::endl;
X1 = X; X1(3) += 1.e-10;
Value(X1,F1);
std::cout<<"D(1,3) : "<<D(1,3)<<" "<<(F1(1) - F(1)) * 1.e10<<std::endl;
std::cout<<"D(2,3) : "<<D(2,3)<<" "<<(F1(2) - F(2)) * 1.e10<<std::endl;
std::cout<<"D(3,3) : "<<D(3,3)<<" "<<(F1(3) - F(3)) * 1.e10<<std::endl;
std::cout<<"D(4,3) : "<<D(4,3)<<" "<<(F1(4) - F(4)) * 1.e10<<std::endl;
X1 = X; X1(4) += 1.e-10;
Value(X1,F1);
std::cout<<"D(1,4) : "<<D(1,4)<<" "<<(F1(1) - F(1)) * 1.e10<<std::endl;
std::cout<<"D(2,4) : "<<D(2,4)<<" "<<(F1(2) - F(2)) * 1.e10<<std::endl;
std::cout<<"D(3,4) : "<<D(3,4)<<" "<<(F1(3) - F(3)) * 1.e10<<std::endl;
std::cout<<"D(4,4) : "<<D(4,4)<<" "<<(F1(4) - F(4)) * 1.e10<<std::endl;*/
}
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