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d5f74e42d6
License statement text corrected; compiler warnings caused by Bison 2.41 disabled for MSVC; a few other compiler warnings on 54-bit Windows eliminated by appropriate type cast Wrong license statements corrected in several files. Copyright and license statements added in XSD and GLSL files. Copyright year updated in some files. Obsolete documentation files removed from DrawResources.
471 lines
14 KiB
C++
471 lines
14 KiB
C++
// Created on: 1993-12-02
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// Created by: Jacques GOUSSARD
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// Copyright (c) 1993-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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#include <BlendFunc_RuledInv.ixx>
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#include <Precision.hxx>
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BlendFunc_RuledInv::BlendFunc_RuledInv(const Handle(Adaptor3d_HSurface)& S1,
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const Handle(Adaptor3d_HSurface)& S2,
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const Handle(Adaptor3d_HCurve)& C) :
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surf1(S1),surf2(S2),curv(C)
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{}
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void BlendFunc_RuledInv::Set(const Standard_Boolean OnFirst,
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const Handle(Adaptor2d_HCurve2d)& C)
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{
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first = OnFirst;
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csurf = C;
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}
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Standard_Integer BlendFunc_RuledInv::NbEquations () const
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{
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return 4;
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}
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void BlendFunc_RuledInv::GetTolerance(math_Vector& Tolerance,
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const Standard_Real Tol) const
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{
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Tolerance(1) = csurf->Resolution(Tol);
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Tolerance(2) = curv->Resolution(Tol);
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if (first) {
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Tolerance(3) = surf2->UResolution(Tol);
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Tolerance(4) = surf2->VResolution(Tol);
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}
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else {
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Tolerance(3) = surf1->UResolution(Tol);
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Tolerance(4) = surf1->VResolution(Tol);
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}
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}
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void BlendFunc_RuledInv::GetBounds(math_Vector& InfBound,
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math_Vector& SupBound) const
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{
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InfBound(1) = csurf->FirstParameter();
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InfBound(2) = curv->FirstParameter();
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SupBound(1) = csurf->LastParameter();
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SupBound(2) = curv->LastParameter();
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if (first) {
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InfBound(3) = surf2->FirstUParameter();
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InfBound(4) = surf2->FirstVParameter();
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SupBound(3) = surf2->LastUParameter();
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SupBound(4) = surf2->LastVParameter();
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if(!Precision::IsInfinite(InfBound(3)) &&
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!Precision::IsInfinite(SupBound(3))) {
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const Standard_Real range = (SupBound(3) - InfBound(3));
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InfBound(3) -= range;
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SupBound(3) += range;
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}
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if(!Precision::IsInfinite(InfBound(4)) &&
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!Precision::IsInfinite(SupBound(4))) {
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const Standard_Real range = (SupBound(4) - InfBound(4));
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InfBound(4) -= range;
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SupBound(4) += range;
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}
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}
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else {
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InfBound(3) = surf1->FirstUParameter();
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InfBound(4) = surf1->FirstVParameter();
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SupBound(3) = surf1->LastUParameter();
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SupBound(4) = surf1->LastVParameter();
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if(!Precision::IsInfinite(InfBound(3)) &&
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!Precision::IsInfinite(SupBound(3))) {
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const Standard_Real range = (SupBound(3) - InfBound(3));
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InfBound(3) -= range;
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SupBound(3) += range;
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}
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if(!Precision::IsInfinite(InfBound(4)) &&
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!Precision::IsInfinite(SupBound(4))) {
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const Standard_Real range = (SupBound(4) - InfBound(4));
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InfBound(4) -= range;
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SupBound(4) += range;
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}
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}
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}
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Standard_Boolean BlendFunc_RuledInv::IsSolution(const math_Vector& Sol,
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const Standard_Real Tol)
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{
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math_Vector valsol(1,4);
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Value(Sol,valsol);
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if (Abs(valsol(1)) <= Tol &&
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Abs(valsol(2)) <= Tol &&
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Abs(valsol(3)) <= Tol &&
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Abs(valsol(4)) <= Tol)
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return Standard_True;
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return Standard_False;
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}
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Standard_Boolean BlendFunc_RuledInv::Value(const math_Vector& X,
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math_Vector& F)
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{
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gp_Pnt ptcur;
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gp_Vec d1cur;
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curv->D1(X(2),ptcur,d1cur);
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const gp_XYZ nplan = d1cur.Normalized().XYZ();
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const Standard_Real theD = -(nplan.Dot(ptcur.XYZ()));
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const gp_Pnt2d pt2d(csurf->Value(X(1)));
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gp_Pnt pts1,pts2;
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gp_Vec d1u1,d1v1,d1u2,d1v2;
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if (first)
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{
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surf1->D1(pt2d.X(),pt2d.Y(),pts1,d1u1,d1v1);
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surf2->D1(X(3),X(4),pts2,d1u2,d1v2);
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}
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else
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{
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surf1->D1(X(3),X(4),pts1,d1u1,d1v1);
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surf2->D1(pt2d.X(),pt2d.Y(),pts2,d1u2,d1v2);
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}
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const gp_XYZ temp(pts2.XYZ()-pts1.XYZ());
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gp_XYZ ns1 = d1u1.Crossed(d1v1).XYZ();
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gp_XYZ ns2 = d1u2.Crossed(d1v2).XYZ();
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const Standard_Real norm1 = nplan.Crossed(ns1).Modulus();
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const Standard_Real norm2 = nplan.Crossed(ns2).Modulus();
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ns1.SetLinearForm(nplan.Dot(ns1)/norm1,nplan, -1./norm1,ns1);
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ns2.SetLinearForm(nplan.Dot(ns2)/norm2,nplan, -1./norm2,ns2);
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F(1) = (nplan.Dot(pts1.XYZ())) + theD;
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F(2) = (nplan.Dot(pts2.XYZ())) + theD;
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F(3) = temp.Dot(ns1);
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F(4) = temp.Dot(ns2);
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return Standard_True;
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}
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Standard_Boolean BlendFunc_RuledInv::Derivatives(const math_Vector& X,
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math_Matrix& D)
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{
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gp_Pnt ptcur;
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gp_Vec d1cur,d2cur;
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curv->D2(X(2),ptcur,d1cur,d2cur);
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const Standard_Real normtgcur = d1cur.Magnitude();
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const gp_Vec nplan = d1cur.Normalized();
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gp_Vec dnplan;
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dnplan.SetLinearForm(-nplan.Dot(d2cur),nplan,d2cur);
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dnplan /= normtgcur;
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gp_Pnt2d p2d;
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gp_Vec2d v2d;
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csurf->D1(X(1),p2d,v2d);
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gp_Pnt pts1,pts2;
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gp_Vec d1u1,d1v1,d1u2,d1v2;
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gp_Vec d2u1,d2v1,d2u2,d2v2,d2uv1,d2uv2;
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gp_Vec dpdt, p1p2;
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if (first)
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{
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surf1->D2(p2d.X(),p2d.Y(),pts1,d1u1,d1v1,d2u1,d2v1,d2uv1);
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surf2->D2(X(3),X(4),pts2,d1u2,d1v2,d2u2,d2v2,d2uv2);
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dpdt.SetLinearForm(v2d.X(),d1u1,v2d.Y(),d1v1);
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p1p2 = gp_Vec(pts1,pts2);
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D(1,1) = dpdt.Dot(nplan);
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D(1,2) = dnplan.XYZ().Dot(pts1.XYZ()-ptcur.XYZ()) - normtgcur;
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D(1,3) = 0.;
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D(1,4) = 0.;
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D(2,1) = 0.;
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D(2,2) = dnplan.XYZ().Dot(pts2.XYZ()-ptcur.XYZ()) - normtgcur;
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D(2,3) = d1u2.Dot(nplan);
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D(2,4) = d1v2.Dot(nplan);
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}
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else
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{
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surf1->D2(X(3),X(4),pts1,d1u1,d1v1,d2u1,d2v1,d2uv1);
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surf2->D2(p2d.X(),p2d.Y(),pts2,d1u2,d1v2,d2u2,d2v2,d2uv2);
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dpdt.SetLinearForm(v2d.X(),d1u2,v2d.Y(),d1v2);
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p1p2 = gp_Vec(pts1,pts2);
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D(1,1) = 0.;
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D(1,2) = dnplan.XYZ().Dot(pts1.XYZ()-ptcur.XYZ()) - normtgcur;
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D(1,3) = d1u1.Dot(nplan);
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D(1,4) = d1v1.Dot(nplan);
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D(2,1) = dpdt.Dot(nplan);
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D(2,2) = dnplan.XYZ().Dot(pts2.XYZ()-ptcur.XYZ()) - normtgcur;
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D(2,3) = 0.;
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D(2,4) = 0.;
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}
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const gp_Vec ns1 = d1u1.Crossed(d1v1);
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const gp_Vec ns2 = d1u2.Crossed(d1v2);
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const gp_Vec ncrossns1 = nplan.Crossed(ns1);
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const gp_Vec ncrossns2 = nplan.Crossed(ns2);
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const Standard_Real norm1 = ncrossns1.Magnitude();
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const Standard_Real norm2 = ncrossns2.Magnitude();
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const Standard_Real ndotns1 = nplan.Dot(ns1);
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const Standard_Real ndotns2 = nplan.Dot(ns2);
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gp_Vec nor1,nor2;
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nor1.SetLinearForm(ndotns1/norm1,nplan,-1./norm1,ns1);
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nor2.SetLinearForm(ndotns2/norm2,nplan,-1./norm2,ns2);
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if (first) {
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D(3,3) = d1u2.Dot(nor1);
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D(3,4) = d1v2.Dot(nor1);
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D(4,1) = -(dpdt.Dot(nor2));
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}
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else {
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D(3,1) = dpdt.Dot(nor1);
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D(4,3) = -(d1u1.Dot(nor2));
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D(4,4) = -(d1v1.Dot(nor2));
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}
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gp_Vec resul1,resul2,temp;
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Standard_Real grosterme;
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// Derivee de nor1 par rapport a u1
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temp = d2u1.Crossed(d1v1).Added(d1u1.Crossed(d2uv1));
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grosterme = ncrossns1.Dot(nplan.Crossed(temp))/norm1/norm1;
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resul1.SetLinearForm(-(grosterme*ndotns1-nplan.Dot(temp))/norm1,nplan,
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grosterme/norm1,ns1,
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-1./norm1,temp);
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// Derivee par rapport a v1
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temp = d2uv1.Crossed(d1v1).Added(d1u1.Crossed(d2v1));
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grosterme = ncrossns1.Dot(nplan.Crossed(temp))/norm1/norm1;
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resul2.SetLinearForm(-(grosterme*ndotns1-nplan.Dot(temp))/norm1,nplan,
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grosterme/norm1,ns1,
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-1./norm1,temp);
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if (first) {
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resul1.SetLinearForm(v2d.X(),resul1,v2d.Y(),resul2);
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D(3,1) = p1p2.Dot(resul1) - (dpdt.Dot(nor1));
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}
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else {
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D(3,3) = -(d1u1.Dot(nor1)) + p1p2.Dot(resul1);
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D(3,4) = -(d1v1.Dot(nor1)) + p1p2.Dot(resul2);
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}
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// Derivee de nor2 par rapport a u2
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temp = d2u2.Crossed(d1v2).Added(d1u2.Crossed(d2uv2));
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grosterme = ncrossns2.Dot(nplan.Crossed(temp))/norm2/norm2;
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resul1.SetLinearForm(-(grosterme*ndotns2-nplan.Dot(temp))/norm2,nplan,
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grosterme/norm2,ns2,
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-1./norm2,temp);
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// Derivee par rapport a v2
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temp = d2uv2.Crossed(d1v2).Added(d1u2.Crossed(d2v2));
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grosterme = ncrossns2.Dot(nplan.Crossed(temp))/norm2/norm2;
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resul2.SetLinearForm(-(grosterme*ndotns2-nplan.Dot(temp))/norm2,nplan,
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grosterme/norm2,ns2,
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-1./norm2,temp);
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if (first) {
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D(4,3) = d1u2.Dot(nor2) + p1p2.Dot(resul1);
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D(4,4) = d1v2.Dot(nor2) + p1p2.Dot(resul2);
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}
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else {
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resul1.SetLinearForm(v2d.X(),resul1,v2d.Y(),resul2);
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D(4,1) = p1p2.Dot(resul1) + dpdt.Dot(nor2) ;
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}
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// derivee par rapport a w (parametre sur ligne guide)
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grosterme = ncrossns1.Dot(dnplan.Crossed(ns1))/norm1/norm1;
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resul1.SetLinearForm(-(grosterme*ndotns1-dnplan.Dot(ns1))/norm1,nplan,
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ndotns1/norm1,dnplan,
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grosterme/norm1,ns1);
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grosterme = ncrossns2.Dot(dnplan.Crossed(ns2))/norm2/norm2;
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resul2.SetLinearForm(-(grosterme*ndotns2-dnplan.Dot(ns2))/norm2,nplan,
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ndotns2/norm2,dnplan,
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grosterme/norm2,ns2);
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D(3,2) = p1p2.Dot(resul1);
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D(4,2) = p1p2.Dot(resul2);
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return Standard_True;
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}
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Standard_Boolean BlendFunc_RuledInv::Values(const math_Vector& X,
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math_Vector& F,
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math_Matrix& D)
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{
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gp_Pnt ptcur;
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gp_Vec d1cur,d2cur;
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curv->D2(X(2),ptcur,d1cur,d2cur);
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const Standard_Real normtgcur = d1cur.Magnitude();
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const gp_Vec nplan = d1cur.Normalized();
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const Standard_Real theD = -(nplan.XYZ().Dot(ptcur.XYZ()));
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gp_Vec dnplan;
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dnplan.SetLinearForm(-nplan.Dot(d2cur),nplan,d2cur);
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dnplan /= normtgcur;
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gp_Pnt2d p2d;
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gp_Vec2d v2d;
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csurf->D1(X(1),p2d,v2d);
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gp_Pnt pts1,pts2;
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gp_Vec d1u1,d1v1,d1u2,d1v2;
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gp_Vec d2u1,d2v1,d2u2,d2v2,d2uv1,d2uv2;
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gp_Vec dpdt,p1p2;
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if (first)
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{
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surf1->D2(p2d.X(),p2d.Y(),pts1,d1u1,d1v1,d2u1,d2v1,d2uv1);
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surf2->D2(X(3),X(4),pts2,d1u2,d1v2,d2u2,d2v2,d2uv2);
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dpdt.SetLinearForm(v2d.X(),d1u1,v2d.Y(),d1v1);
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p1p2 = gp_Vec(pts1,pts2);
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D(1,1) = dpdt.Dot(nplan);
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D(1,2) = dnplan.XYZ().Dot(pts1.XYZ()-ptcur.XYZ()) - normtgcur;
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D(1,3) = 0.;
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D(1,4) = 0.;
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D(2,1) = 0.;
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D(2,2) = dnplan.XYZ().Dot(pts2.XYZ()-ptcur.XYZ()) - normtgcur;
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D(2,3) = d1u2.Dot(nplan);
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D(2,4) = d1v2.Dot(nplan);
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}
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else
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{
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surf1->D2(X(3),X(4),pts1,d1u1,d1v1,d2u1,d2v1,d2uv1);
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surf2->D2(p2d.X(),p2d.Y(),pts2,d1u2,d1v2,d2u2,d2v2,d2uv2);
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dpdt.SetLinearForm(v2d.X(),d1u2,v2d.Y(),d1v2);
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p1p2 = gp_Vec(pts1,pts2);
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D(1,1) = 0.;
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D(1,2) = dnplan.XYZ().Dot(pts1.XYZ()-ptcur.XYZ()) - normtgcur;
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D(1,3) = d1u1.Dot(nplan);
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D(1,4) = d1v1.Dot(nplan);
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D(2,1) = dpdt.Dot(nplan);
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D(2,2) = dnplan.XYZ().Dot(pts2.XYZ()-ptcur.XYZ()) - normtgcur;
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D(2,3) = 0.;
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D(2,4) = 0.;
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}
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const gp_Vec ns1 = d1u1.Crossed(d1v1);
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const gp_Vec ns2 = d1u2.Crossed(d1v2);
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const gp_Vec ncrossns1 = nplan.Crossed(ns1);
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const gp_Vec ncrossns2 = nplan.Crossed(ns2);
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const Standard_Real norm1 = ncrossns1.Magnitude();
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const Standard_Real norm2 = ncrossns2.Magnitude();
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const Standard_Real ndotns1 = nplan.Dot(ns1);
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const Standard_Real ndotns2 = nplan.Dot(ns2);
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gp_Vec nor1,nor2;
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nor1.SetLinearForm(ndotns1/norm1,nplan,-1./norm1,ns1);
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nor2.SetLinearForm(ndotns2/norm2,nplan,-1./norm2,ns2);
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F(1) = (nplan.Dot(pts1.XYZ())) + theD;
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F(2) = (nplan.Dot(pts2.XYZ())) + theD;
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F(3) = p1p2.Dot(nor1);
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F(4) = p1p2.Dot(nor2);
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if (first) {
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D(3,3) = d1u2.Dot(nor1);
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D(3,4) = d1v2.Dot(nor1);
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D(4,1) = -(dpdt.Dot(nor2));
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}
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else {
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D(3,1) = dpdt.Dot(nor1);
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D(4,3) = -(d1u1.Dot(nor2));
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D(4,4) = -(d1v1.Dot(nor2));
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}
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gp_Vec resul1,resul2,temp;
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Standard_Real grosterme;
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// Derivee de nor1 par rapport a u1
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temp = d2u1.Crossed(d1v1).Added(d1u1.Crossed(d2uv1));
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grosterme = ncrossns1.Dot(nplan.Crossed(temp))/norm1/norm1;
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resul1.SetLinearForm(-(grosterme*ndotns1-nplan.Dot(temp))/norm1,nplan,
|
|
grosterme/norm1,ns1,
|
|
-1./norm1,temp);
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|
|
|
// Derivee par rapport a v1
|
|
|
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temp = d2uv1.Crossed(d1v1).Added(d1u1.Crossed(d2v1));
|
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grosterme = ncrossns1.Dot(nplan.Crossed(temp))/norm1/norm1;
|
|
resul2.SetLinearForm(-(grosterme*ndotns1-nplan.Dot(temp))/norm1,nplan,
|
|
grosterme/norm1,ns1,
|
|
-1./norm1,temp);
|
|
|
|
if (first) {
|
|
resul1.SetLinearForm(v2d.X(),resul1,v2d.Y(),resul2);
|
|
D(3,1) = p1p2.Dot(resul1) - (dpdt.Dot(nor1));
|
|
}
|
|
else {
|
|
D(3,3) = -(d1u1.Dot(nor1)) + p1p2.Dot(resul1);
|
|
D(3,4) = -(d1v1.Dot(nor1)) + p1p2.Dot(resul2);
|
|
}
|
|
|
|
// Derivee de nor2 par rapport a u2
|
|
temp = d2u2.Crossed(d1v2).Added(d1u2.Crossed(d2uv2));
|
|
grosterme = ncrossns2.Dot(nplan.Crossed(temp))/norm2/norm2;
|
|
resul1.SetLinearForm(-(grosterme*ndotns2-nplan.Dot(temp))/norm2,nplan,
|
|
grosterme/norm2,ns2,
|
|
-1./norm2,temp);
|
|
|
|
// Derivee par rapport a v2
|
|
temp = d2uv2.Crossed(d1v2).Added(d1u2.Crossed(d2v2));
|
|
grosterme = ncrossns2.Dot(nplan.Crossed(temp))/norm2/norm2;
|
|
resul2.SetLinearForm(-(grosterme*ndotns2-nplan.Dot(temp))/norm2,nplan,
|
|
grosterme/norm2,ns2,
|
|
-1./norm2,temp);
|
|
|
|
if (first) {
|
|
D(4,3) = d1u2.Dot(nor2) + p1p2.Dot(resul1);
|
|
D(4,4) = d1v2.Dot(nor2) + p1p2.Dot(resul2);
|
|
}
|
|
else {
|
|
resul1.SetLinearForm(v2d.X(),resul1,v2d.Y(),resul2);
|
|
D(4,1) = p1p2.Dot(resul1) + dpdt.Dot(nor2) ;
|
|
}
|
|
|
|
|
|
// derivee par rapport a w (parametre sur ligne guide)
|
|
|
|
grosterme = ncrossns1.Dot(dnplan.Crossed(ns1))/norm1/norm1;
|
|
resul1.SetLinearForm(-(grosterme*ndotns1-dnplan.Dot(ns1))/norm1,nplan,
|
|
ndotns1/norm1,dnplan,
|
|
grosterme/norm1,ns1);
|
|
|
|
|
|
grosterme = ncrossns2.Dot(dnplan.Crossed(ns2))/norm2/norm2;
|
|
resul2.SetLinearForm(-(grosterme*ndotns2-dnplan.Dot(ns2))/norm2,nplan,
|
|
ndotns2/norm2,dnplan,
|
|
grosterme/norm2,ns2);
|
|
|
|
D(3,2) = p1p2.Dot(resul1);
|
|
D(4,2) = p1p2.Dot(resul2);
|
|
|
|
return Standard_True;
|
|
}
|