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occt/src/BRepBlend/BRepBlend_SurfCurvConstRadInv.cxx
dpasukhi a5a7b3185b Coding - Apply .clang-format formatting #286
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C++

// Created on: 1997-02-21
// Created by: Laurent BOURESCHE
// Copyright (c) 1997-1999 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 <BRepBlend_SurfCurvConstRadInv.hxx>
#include <math_Matrix.hxx>
//=================================================================================================
BRepBlend_SurfCurvConstRadInv::BRepBlend_SurfCurvConstRadInv(const Handle(Adaptor3d_Surface)& S,
const Handle(Adaptor3d_Curve)& C,
const Handle(Adaptor3d_Curve)& Cg)
: surf(S),
curv(C),
guide(Cg),
ray(0.0),
choix(0)
{
}
//=================================================================================================
void BRepBlend_SurfCurvConstRadInv::Set(const Standard_Real R, const Standard_Integer Choix)
{
choix = Choix;
switch (choix)
{
case 1:
case 2: {
ray = -Abs(R);
}
break;
case 3:
case 4: {
ray = Abs(R);
}
break;
default: {
ray = -Abs(R);
}
}
}
//=================================================================================================
Standard_Integer BRepBlend_SurfCurvConstRadInv::NbEquations() const
{
return 3;
}
//=================================================================================================
Standard_Boolean BRepBlend_SurfCurvConstRadInv::Value(const math_Vector& X, math_Vector& F)
{
gp_Pnt ptgui;
gp_Vec d1gui;
guide->D1(X(1), ptgui, d1gui);
gp_Vec nplan = d1gui.Normalized();
Standard_Real theD = -(nplan.XYZ().Dot(ptgui.XYZ()));
gp_Pnt ptcur = curv->Value(X(2));
F(1) = nplan.XYZ().Dot(ptcur.XYZ()) + theD;
gp_Pnt2d p2drst = rst->Value(X(3));
gp_Pnt pts;
gp_Vec du, dv;
surf->D1(p2drst.X(), p2drst.Y(), pts, du, dv);
F(2) = nplan.XYZ().Dot(pts.XYZ()) + theD;
gp_Vec ns = du.Crossed(dv);
Standard_Real norm = nplan.Crossed(ns).Magnitude();
Standard_Real unsurnorm = 1. / norm;
ns.SetLinearForm(nplan.Dot(ns), nplan, -1., ns);
ns.Multiply(unsurnorm);
gp_Vec ref(ptcur, pts);
ref.SetLinearForm(ray, ns, ref);
F(3) = ref.SquareMagnitude() - ray * ray;
return Standard_True;
}
//=================================================================================================
Standard_Boolean BRepBlend_SurfCurvConstRadInv::Derivatives(const math_Vector& X, math_Matrix& D)
{
gp_Pnt ptgui;
gp_Vec d1gui, d2gui;
guide->D2(X(1), ptgui, d1gui, d2gui);
Standard_Real normd1gui = d1gui.Magnitude();
Standard_Real unsurnormd1gui = 1. / normd1gui;
gp_Vec nplan = d1gui.Multiplied(unsurnormd1gui);
gp_Vec dnplan;
dnplan.SetLinearForm(-nplan.Dot(d2gui), nplan, d2gui);
dnplan.Multiply(unsurnormd1gui);
Standard_Real dtheD = -nplan.XYZ().Dot(d1gui.XYZ()) - dnplan.XYZ().Dot(ptgui.XYZ());
gp_Pnt ptcur;
gp_Vec d1cur;
curv->D1(X(2), ptcur, d1cur);
D(1, 1) = dnplan.XYZ().Dot(ptcur.XYZ()) + dtheD;
D(1, 2) = nplan.XYZ().Dot(d1cur.XYZ());
D(1, 3) = 0.;
gp_Pnt2d p2drst;
gp_Vec2d d1rst;
rst->D1(X(3), p2drst, d1rst);
gp_Pnt pts;
gp_Vec d1u, d1v, d2u, d2v, duv;
surf->D2(p2drst.X(), p2drst.Y(), pts, d1u, d1v, d2u, d2v, duv);
D(2, 1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
D(2, 2) = 0.;
gp_Vec dwrstpts;
dwrstpts.SetLinearForm(d1rst.X(), d1u, d1rst.Y(), d1v);
D(2, 3) = nplan.XYZ().Dot(dwrstpts.XYZ());
gp_Vec nsurf = d1u.Crossed(d1v);
gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
gp_Vec dwrstnsurf;
dwrstnsurf.SetLinearForm(d1rst.X(), dunsurf, d1rst.Y(), dvnsurf);
gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
gp_Vec dwguinplancrosnsurf = dnplan.Crossed(nsurf);
gp_Vec dwrstnplancrosnsurf = nplan.Crossed(dwrstnsurf);
Standard_Real norm2 = nplancrosnsurf.SquareMagnitude();
Standard_Real norm = sqrt(norm2);
Standard_Real unsurnorm = 1. / norm;
Standard_Real raysurnorm = ray * unsurnorm;
Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
Standard_Real raysurnorm2 = ray * unsurnorm2;
Standard_Real dwguinorm = unsurnorm * nplancrosnsurf.Dot(dwguinplancrosnsurf);
Standard_Real dwrstnorm = unsurnorm * nplancrosnsurf.Dot(dwrstnplancrosnsurf);
Standard_Real nplandotnsurf = nplan.Dot(nsurf);
Standard_Real dwguinplandotnsurf = dnplan.Dot(nsurf);
Standard_Real dwrstnplandotnsurf = nplan.Dot(dwrstnsurf);
gp_Vec temp, dwguitemp, dwrsttemp;
temp.SetLinearForm(nplandotnsurf, nplan, -1., nsurf);
dwguitemp.SetLinearForm(nplandotnsurf, dnplan, dwguinplandotnsurf, nplan);
dwrsttemp.SetLinearForm(dwrstnplandotnsurf, nplan, -1., dwrstnsurf);
gp_Vec corde(ptcur, pts);
gp_Vec ref, dwguiref, dwrstref;
ref.SetLinearForm(raysurnorm, temp, corde);
dwguiref.SetLinearForm(raysurnorm, dwguitemp, -raysurnorm2 * dwguinorm, temp);
dwrstref.SetLinearForm(raysurnorm, dwrsttemp, -raysurnorm2 * dwrstnorm, temp, dwrstpts);
ref.Add(ref);
D(3, 1) = ref.Dot(dwguiref);
D(3, 2) = -ref.Dot(d1cur);
D(3, 3) = ref.Dot(dwrstref);
return Standard_True;
}
//=================================================================================================
Standard_Boolean BRepBlend_SurfCurvConstRadInv::Values(const math_Vector& X,
math_Vector& F,
math_Matrix& D)
{
gp_Pnt ptgui;
gp_Vec d1gui(0., 0., 0.), d2gui(0., 0., 0.);
guide->D2(X(1), ptgui, d1gui, d2gui);
Standard_Real normd1gui = d1gui.Magnitude();
Standard_Real unsurnormd1gui = 1. / normd1gui;
gp_Vec nplan = d1gui.Multiplied(unsurnormd1gui);
Standard_Real theD = -(nplan.XYZ().Dot(ptgui.XYZ()));
gp_Vec dnplan;
dnplan.SetLinearForm(-nplan.Dot(d2gui), nplan, d2gui);
dnplan.Multiply(unsurnormd1gui);
Standard_Real dtheD = -nplan.XYZ().Dot(d1gui.XYZ()) - dnplan.XYZ().Dot(ptgui.XYZ());
gp_Pnt ptcur;
gp_Vec d1cur;
curv->D1(X(2), ptcur, d1cur);
F(1) = nplan.XYZ().Dot(ptcur.XYZ()) + theD;
D(1, 1) = dnplan.XYZ().Dot(ptcur.XYZ()) + dtheD;
D(1, 2) = nplan.XYZ().Dot(d1cur.XYZ());
D(1, 3) = 0.;
gp_Pnt2d p2drst;
gp_Vec2d d1rst;
rst->D1(X(3), p2drst, d1rst);
gp_Pnt pts;
gp_Vec d1u, d1v, d2u, d2v, duv;
surf->D2(p2drst.X(), p2drst.Y(), pts, d1u, d1v, d2u, d2v, duv);
F(2) = nplan.XYZ().Dot(pts.XYZ()) + theD;
D(2, 1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
D(2, 2) = 0.;
gp_Vec dwrstpts;
dwrstpts.SetLinearForm(d1rst.X(), d1u, d1rst.Y(), d1v);
D(2, 3) = nplan.XYZ().Dot(dwrstpts.XYZ());
gp_Vec nsurf = d1u.Crossed(d1v);
gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
gp_Vec dwrstnsurf;
dwrstnsurf.SetLinearForm(d1rst.X(), dunsurf, d1rst.Y(), dvnsurf);
gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
gp_Vec dwguinplancrosnsurf = dnplan.Crossed(nsurf);
gp_Vec dwrstnplancrosnsurf = nplan.Crossed(dwrstnsurf);
Standard_Real norm2 = nplancrosnsurf.SquareMagnitude();
Standard_Real norm = sqrt(norm2);
Standard_Real unsurnorm = 1. / norm;
Standard_Real raysurnorm = ray * unsurnorm;
Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
Standard_Real raysurnorm2 = ray * unsurnorm2;
Standard_Real dwguinorm = unsurnorm * nplancrosnsurf.Dot(dwguinplancrosnsurf);
Standard_Real dwrstnorm = unsurnorm * nplancrosnsurf.Dot(dwrstnplancrosnsurf);
Standard_Real nplandotnsurf = nplan.Dot(nsurf);
Standard_Real dwguinplandotnsurf = dnplan.Dot(nsurf);
Standard_Real dwrstnplandotnsurf = nplan.Dot(dwrstnsurf);
gp_Vec temp, dwguitemp, dwrsttemp;
temp.SetLinearForm(nplandotnsurf, nplan, -1., nsurf);
dwguitemp.SetLinearForm(nplandotnsurf, dnplan, dwguinplandotnsurf, nplan);
dwrsttemp.SetLinearForm(dwrstnplandotnsurf, nplan, -1., dwrstnsurf);
gp_Vec corde(ptcur, pts);
gp_Vec ref, dwguiref, dwrstref;
ref.SetLinearForm(raysurnorm, temp, corde);
F(3) = ref.SquareMagnitude() - ray * ray;
dwguiref.SetLinearForm(raysurnorm, dwguitemp, -raysurnorm2 * dwguinorm, temp);
dwrstref.SetLinearForm(raysurnorm, dwrsttemp, -raysurnorm2 * dwrstnorm, temp, dwrstpts);
ref.Add(ref);
D(3, 1) = ref.Dot(dwguiref);
D(3, 2) = -ref.Dot(d1cur);
D(3, 3) = ref.Dot(dwrstref);
return Standard_True;
}
//=================================================================================================
void BRepBlend_SurfCurvConstRadInv::Set(const Handle(Adaptor2d_Curve2d)& Rst)
{
rst = Rst;
}
//=================================================================================================
void BRepBlend_SurfCurvConstRadInv::GetTolerance(math_Vector& Tolerance,
const Standard_Real Tol) const
{
Tolerance(1) = guide->Resolution(Tol);
Tolerance(2) = curv->Resolution(Tol);
Standard_Real ru, rv;
ru = surf->UResolution(Tol);
rv = surf->VResolution(Tol);
Tolerance(3) = rst->Resolution(Min(ru, rv));
}
//=================================================================================================
void BRepBlend_SurfCurvConstRadInv::GetBounds(math_Vector& InfBound, math_Vector& SupBound) const
{
InfBound(1) = guide->FirstParameter();
SupBound(1) = guide->LastParameter();
InfBound(2) = curv->FirstParameter();
SupBound(2) = curv->LastParameter();
InfBound(3) = rst->FirstParameter();
SupBound(3) = rst->LastParameter();
}
//=================================================================================================
Standard_Boolean BRepBlend_SurfCurvConstRadInv::IsSolution(const math_Vector& Sol,
const Standard_Real Tol)
{
math_Vector valsol(1, 3);
Value(Sol, valsol);
if (Abs(valsol(1)) <= Tol && Abs(valsol(2)) <= Tol && Abs(valsol(3)) <= 2 * Tol * Abs(ray))
{
return Standard_True;
}
return Standard_False;
}