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occt/src/Geom2dEvaluator/Geom2dEvaluator.cxx
dpasukhi a5a7b3185b Coding - Apply .clang-format formatting #286 
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// Created on: 2015-09-21
// Copyright (c) 2015 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 <Geom2dEvaluator.hxx>
#include <gp_Pnt2d.hxx>
#include <gp_Vec2d.hxx>
#include <gp_XY.hxx>
#include <Standard_NullValue.hxx>
//=================================================================================================
void Geom2dEvaluator::CalculateD0(gp_Pnt2d& theValue,
const gp_Vec2d& theD1,
const Standard_Real theOffset)
{
if (theD1.SquareMagnitude() <= gp::Resolution())
throw Standard_NullValue("Geom2dEvaluator: Undefined normal vector "
"because tangent vector has zero-magnitude!");
gp_Dir2d aNormal(theD1.Y(), -theD1.X());
theValue.ChangeCoord().Add(aNormal.XY() * theOffset);
}
//=================================================================================================
void Geom2dEvaluator::CalculateD1(gp_Pnt2d& theValue,
gp_Vec2d& theD1,
const gp_Vec2d& theD2,
const Standard_Real theOffset)
{
// P(u) = p(u) + Offset * Ndir / R
// with R = || p' ^ Z|| and Ndir = P' ^ Z
// P'(u) = p'(u) + (Offset / R**2) * (DNdir/DU * R - Ndir * (DR/R))
gp_XY Ndir(theD1.Y(), -theD1.X());
gp_XY DNdir(theD2.Y(), -theD2.X());
Standard_Real R2 = Ndir.SquareModulus();
Standard_Real R = Sqrt(R2);
Standard_Real R3 = R * R2;
Standard_Real Dr = Ndir.Dot(DNdir);
if (R3 <= gp::Resolution())
{
if (R2 <= gp::Resolution())
throw Standard_NullValue("Geom2dEvaluator_OffsetCurve: Null derivative");
// We try another computation but the stability is not very good.
DNdir.Multiply(R);
DNdir.Subtract(Ndir.Multiplied(Dr / R));
DNdir.Multiply(theOffset / R2);
}
else
{
// Same computation as IICURV in EUCLID-IS because the stability is better
DNdir.Multiply(theOffset / R);
DNdir.Subtract(Ndir.Multiplied(theOffset * Dr / R3));
}
Ndir.Multiply(theOffset / R);
// P(u)
theValue.ChangeCoord().Add(Ndir);
// P'(u)
theD1.Add(gp_Vec2d(DNdir));
}
//=================================================================================================
void Geom2dEvaluator::CalculateD2(gp_Pnt2d& theValue,
gp_Vec2d& theD1,
gp_Vec2d& theD2,
const gp_Vec2d& theD3,
const Standard_Boolean theIsDirChange,
const Standard_Real theOffset)
{
// P(u) = p(u) + Offset * Ndir / R
// with R = || p' ^ Z|| and Ndir = P' ^ Z
// P'(u) = p'(u) + (Offset / R**2) * (DNdir/DU * R - Ndir * (DR/R))
// P"(u) = p"(u) + (Offset / R) * (D2Ndir/DU - DNdir * (2.0 * Dr/ R**2) +
// Ndir * ( (3.0 * Dr**2 / R**4) - (D2r / R**2)))
gp_XY Ndir(theD1.Y(), -theD1.X());
gp_XY DNdir(theD2.Y(), -theD2.X());
gp_XY D2Ndir(theD3.Y(), -theD3.X());
Standard_Real R2 = Ndir.SquareModulus();
Standard_Real R = Sqrt(R2);
Standard_Real R3 = R2 * R;
Standard_Real R4 = R2 * R2;
Standard_Real R5 = R3 * R2;
Standard_Real Dr = Ndir.Dot(DNdir);
Standard_Real D2r = Ndir.Dot(D2Ndir) + DNdir.Dot(DNdir);
if (R5 <= gp::Resolution())
{
if (R4 <= gp::Resolution())
throw Standard_NullValue("Geom2dEvaluator: Null derivative");
// We try another computation but the stability is not very good dixit ISG.
// V2 = P" (U) :
D2Ndir.Subtract(DNdir.Multiplied(2.0 * Dr / R2));
D2Ndir.Add(Ndir.Multiplied(((3.0 * Dr * Dr) / R4) - (D2r / R2)));
D2Ndir.Multiply(theOffset / R);
// V1 = P' (U) :
DNdir.Multiply(R);
DNdir.Subtract(Ndir.Multiplied(Dr / R));
DNdir.Multiply(theOffset / R2);
}
else
{
// Same computation as IICURV in EUCLID-IS because the stability is better.
// V2 = P" (U) :
D2Ndir.Multiply(theOffset / R);
D2Ndir.Subtract(DNdir.Multiplied(2.0 * theOffset * Dr / R3));
D2Ndir.Add(Ndir.Multiplied(theOffset * (((3.0 * Dr * Dr) / R5) - (D2r / R3))));
// V1 = P' (U)
DNdir.Multiply(theOffset / R);
DNdir.Subtract(Ndir.Multiplied(theOffset * Dr / R3));
}
Ndir.Multiply(theOffset / R);
// P(u)
theValue.ChangeCoord().Add(Ndir);
// P'(u) :
theD1.Add(gp_Vec2d(DNdir));
// P"(u) :
if (theIsDirChange)
theD2.Reverse();
theD2.Add(gp_Vec2d(D2Ndir));
}
//=================================================================================================
void Geom2dEvaluator::CalculateD3(gp_Pnt2d& theValue,
gp_Vec2d& theD1,
gp_Vec2d& theD2,
gp_Vec2d& theD3,
const gp_Vec2d& theD4,
const Standard_Boolean theIsDirChange,
const Standard_Real theOffset)
{
// P(u) = p(u) + Offset * Ndir / R
// with R = || p' ^ Z|| and Ndir = P' ^ Z
// P'(u) = p'(u) + (Offset / R**2) * (DNdir/DU * R - Ndir * (DR/R))
// P"(u) = p"(u) + (Offset / R) * (D2Ndir/DU - DNdir * (2.0 * Dr/ R**2) +
// Ndir * ( (3.0 * Dr**2 / R**4) - (D2r / R**2)))
// P"'(u) = p"'(u) + (Offset / R) * (D3Ndir - (3.0 * Dr/R**2 ) * D2Ndir -
// (3.0 * D2r / R2) * DNdir) + (3.0 * Dr * Dr / R4) * DNdir -
// (D3r/R2) * Ndir + (6.0 * Dr * Dr / R4) * Ndir +
// (6.0 * Dr * D2r / R4) * Ndir - (15.0 * Dr* Dr* Dr /R6) * Ndir
gp_XY Ndir(theD1.Y(), -theD1.X());
gp_XY DNdir(theD2.Y(), -theD2.X());
gp_XY D2Ndir(theD3.Y(), -theD3.X());
gp_XY D3Ndir(theD4.Y(), -theD4.X());
Standard_Real R2 = Ndir.SquareModulus();
Standard_Real R = Sqrt(R2);
Standard_Real R3 = R2 * R;
Standard_Real R4 = R2 * R2;
Standard_Real R5 = R3 * R2;
Standard_Real R6 = R3 * R3;
Standard_Real R7 = R5 * R2;
Standard_Real Dr = Ndir.Dot(DNdir);
Standard_Real D2r = Ndir.Dot(D2Ndir) + DNdir.Dot(DNdir);
Standard_Real D3r = Ndir.Dot(D3Ndir) + 3.0 * DNdir.Dot(D2Ndir);
if (R7 <= gp::Resolution())
{
if (R6 <= gp::Resolution())
throw Standard_NullValue("Geom2dEvaluator: Null derivative");
// We try another computation but the stability is not very good dixit ISG.
// V3 = P"' (U) :
D3Ndir.Subtract(D2Ndir.Multiplied(3.0 * theOffset * Dr / R2));
D3Ndir.Subtract((DNdir.Multiplied((3.0 * theOffset) * ((D2r / R2) + (Dr * Dr) / R4))));
D3Ndir.Add(Ndir.Multiplied(
(theOffset * (6.0 * Dr * Dr / R4 + 6.0 * Dr * D2r / R4 - 15.0 * Dr * Dr * Dr / R6 - D3r))));
D3Ndir.Multiply(theOffset / R);
// V2 = P" (U) :
R4 = R2 * R2;
D2Ndir.Subtract(DNdir.Multiplied(2.0 * Dr / R2));
D2Ndir.Subtract(Ndir.Multiplied(((3.0 * Dr * Dr) / R4) - (D2r / R2)));
D2Ndir.Multiply(theOffset / R);
// V1 = P' (U) :
DNdir.Multiply(R);
DNdir.Subtract(Ndir.Multiplied(Dr / R));
DNdir.Multiply(theOffset / R2);
}
else
{
// Same computation as IICURV in EUCLID-IS because the stability is better.
// V3 = P"' (U) :
D3Ndir.Multiply(theOffset / R);
D3Ndir.Subtract(D2Ndir.Multiplied(3.0 * theOffset * Dr / R3));
D3Ndir.Subtract(DNdir.Multiplied(((3.0 * theOffset) * ((D2r / R3) + (Dr * Dr) / R5))));
D3Ndir.Add(Ndir.Multiplied(
(theOffset * (6.0 * Dr * Dr / R5 + 6.0 * Dr * D2r / R5 - 15.0 * Dr * Dr * Dr / R7 - D3r))));
// V2 = P" (U) :
D2Ndir.Multiply(theOffset / R);
D2Ndir.Subtract(DNdir.Multiplied(2.0 * theOffset * Dr / R3));
D2Ndir.Subtract(Ndir.Multiplied(theOffset * (((3.0 * Dr * Dr) / R5) - (D2r / R3))));
// V1 = P' (U) :
DNdir.Multiply(theOffset / R);
DNdir.Subtract(Ndir.Multiplied(theOffset * Dr / R3));
}
Ndir.Multiply(theOffset / R);
// P(u)
theValue.ChangeCoord().Add(Ndir);
// P'(u) :
theD1.Add(gp_Vec2d(DNdir));
// P"(u)
theD2.Add(gp_Vec2d(D2Ndir));
// P"'(u)
if (theIsDirChange)
theD3.Reverse();
theD3.Add(gp_Vec2d(D2Ndir));
}
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