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https://github.com/Open-Cascade-SAS/OCCT.git
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6c24544fe1
- Refactor boolean expressions and improve code readability across multiple files - Simplified boolean expressions by removing unnecessary comparisons to true/false. - Replaced explicit boolean checks with direct variable usage Used flags: readability-static-accessed-through-instance readability-simplify-boolean-expr performance-for-range-copy performance-move-const-arg misc-unused-parameters misc-redundant-expression
509 lines
15 KiB
C++
509 lines
15 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 <Adaptor2d_Curve2d.hxx>
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#include <BlendFunc_RuledInv.hxx>
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#include <math_Matrix.hxx>
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#include <Precision.hxx>
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BlendFunc_RuledInv::BlendFunc_RuledInv(const occ::handle<Adaptor3d_Surface>& S1,
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const occ::handle<Adaptor3d_Surface>& S2,
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const occ::handle<Adaptor3d_Curve>& C)
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: surf1(S1),
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surf2(S2),
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curv(C),
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first(false)
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{
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}
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void BlendFunc_RuledInv::Set(const bool OnFirst, const occ::handle<Adaptor2d_Curve2d>& 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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int 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, const double 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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{
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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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{
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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, 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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{
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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)) && !Precision::IsInfinite(SupBound(3)))
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{
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const double 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)) && !Precision::IsInfinite(SupBound(4)))
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{
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const double 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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{
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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)) && !Precision::IsInfinite(SupBound(3)))
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{
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const double 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)) && !Precision::IsInfinite(SupBound(4)))
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{
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const double 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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bool BlendFunc_RuledInv::IsSolution(const math_Vector& Sol, const double 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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return std::abs(valsol(1)) <= Tol && std::abs(valsol(2)) <= Tol && std::abs(valsol(3)) <= Tol
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&& std::abs(valsol(4)) <= Tol;
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}
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bool BlendFunc_RuledInv::Value(const math_Vector& X, 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 double 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 double norm1 = nplan.Crossed(ns1).Modulus();
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const double 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 true;
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}
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bool BlendFunc_RuledInv::Derivatives(const math_Vector& X, 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 double 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 double norm1 = ncrossns1.Magnitude();
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const double norm2 = ncrossns2.Magnitude();
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const double ndotns1 = nplan.Dot(ns1);
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const double 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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{
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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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{
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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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double 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,
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nplan,
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grosterme / norm1,
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ns1,
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-1. / norm1,
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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,
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nplan,
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grosterme / norm1,
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ns1,
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-1. / norm1,
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temp);
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if (first)
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{
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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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{
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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,
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nplan,
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grosterme / norm2,
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ns2,
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-1. / norm2,
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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,
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nplan,
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grosterme / norm2,
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ns2,
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-1. / norm2,
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temp);
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if (first)
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{
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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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{
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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,
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nplan,
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ndotns1 / norm1,
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dnplan,
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grosterme / norm1,
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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,
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nplan,
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ndotns2 / norm2,
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dnplan,
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grosterme / norm2,
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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 true;
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}
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bool BlendFunc_RuledInv::Values(const math_Vector& X, math_Vector& F, 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 double normtgcur = d1cur.Magnitude();
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const gp_Vec nplan = d1cur.Normalized();
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const double 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 double norm1 = ncrossns1.Magnitude();
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const double norm2 = ncrossns2.Magnitude();
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const double ndotns1 = nplan.Dot(ns1);
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const double 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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{
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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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{
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D(3, 1) = dpdt.Dot(nor1);
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|
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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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double grosterme;
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|
|
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// Derivee de nor1 par rapport a u1
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|
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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);
|
|
|
|
// Derivee par rapport a v1
|
|
|
|
temp = d2uv1.Crossed(d1v1).Added(d1u1.Crossed(d2v1));
|
|
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 true;
|
|
}
|