valentina/src/libs/vgeometry/vellipticalarc.cpp

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/************************************************************************
**
** @file vellipticalarc.cpp
** @author Valentina Zhuravska <zhuravska19(at)gmail.com>
** @date February 1, 2016
**
** @brief
** @copyright
** This source code is part of the Valentina project, a pattern making
** program, whose allow create and modeling patterns of clothing.
** Copyright (C) 2013-2015 Valentina project
** <https://gitlab.com/smart-pattern/valentina> All Rights Reserved.
**
** Valentina is free software: you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
** the Free Software Foundation, either version 3 of the License, or
** (at your option) any later version.
**
** Valentina is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU General Public License for more details.
**
** You should have received a copy of the GNU General Public License
** along with Valentina. If not, see <http://www.gnu.org/licenses/>.
**
*************************************************************************/
#include "vellipticalarc.h"
#include <QLineF>
#include <QPoint>
#include <QPainterPath>
#include <QtDebug>
#include "../vmisc/def.h"
#include "../ifc/ifcdef.h"
#include "../ifc/exception/vexception.h"
#include "../vmisc/vabstractapplication.h"
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#include "../vmisc/fpm/fixed.hpp"
#include "../vmisc/fpm/math.hpp"
#include "../vmisc/compatibility.h"
#include "vabstractcurve.h"
#include "vellipticalarc_p.h"
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#include "../vmisc/vmath.h"
namespace
{
constexpr qreal tolerance = accuracyPointOnLine/32;
//---------------------------------------------------------------------------------------------------------------------
auto VLen(fpm::fixed_16_16 x, fpm::fixed_16_16 y) -> fpm::fixed_16_16
{
x = fpm::abs(x);
y = fpm::abs(y);
if (x > y)
{
return x + qMax(y/8, y/2 - x/8);
}
return y + qMax(x/8, x/2 - y/8);
}
//---------------------------------------------------------------------------------------------------------------------
auto AuxRadius(fpm::fixed_16_16 xP, fpm::fixed_16_16 yP, fpm::fixed_16_16 xQ, fpm::fixed_16_16 yQ) -> fpm::fixed_16_16
{
fpm::fixed_16_16 dP = VLen(xP, yP);
fpm::fixed_16_16 dQ = VLen(xQ, yQ);
fpm::fixed_16_16 dJ = VLen(xP + xQ, yP + yQ);
fpm::fixed_16_16 dK = VLen(xP - xQ, yP - yQ);
fpm::fixed_16_16 r1 = qMax(dP, dQ);
fpm::fixed_16_16 r2 = qMax(dJ, dK);
return qMax(r1 + r1/16, r2 - r2/4);
}
//---------------------------------------------------------------------------------------------------------------------
auto AngularInc(fpm::fixed_16_16 xP, fpm::fixed_16_16 yP, fpm::fixed_16_16 xQ, fpm::fixed_16_16 yQ,
fpm::fixed_16_16 flatness) -> int
{
fpm::fixed_16_16 r = AuxRadius(xP, yP, xQ, yQ);
fpm::fixed_16_16 err2{r >> 3};
// 2nd-order term
fpm::fixed_16_16 err4{r >> 7};
// 4th-order term
const int kmax = qRound(0.5 * std::log2(maxSceneSize / (8. * tolerance)));
for (int k = 0; k < kmax; ++k)
{
if (flatness >= err2 + err4)
{
return k;
}
err2 >>= 2;
err4 >>= 4;
}
return kmax;
}
//---------------------------------------------------------------------------------------------------------------------
inline void CircleGen(fpm::fixed_16_16& u, fpm::fixed_16_16& v, uint k)
{
u -= v >> k;
v += u >> k;
}
//---------------------------------------------------------------------------------------------------------------------
auto InitialValue(fpm::fixed_16_16 u0, fpm::fixed_16_16 v0, uint k) -> fpm::fixed_16_16
{
uint shift = 2*k + 3;
fpm::fixed_16_16 w {u0 >> shift};
fpm::fixed_16_16 U0 = u0 - w + (v0 >> (k + 1));
w >>= (shift + 1);
U0 -= w;
w >>= shift;
U0 -= w;
return U0;
}
//---------------------------------------------------------------------------------------------------------------------
auto EllipseCore(fpm::fixed_16_16 xC, fpm::fixed_16_16 yC, fpm::fixed_16_16 xP, fpm::fixed_16_16 yP,
fpm::fixed_16_16 xQ, fpm::fixed_16_16 yQ, fpm::fixed_16_16 sweep,
fpm::fixed_16_16 flatness) -> QVector<QPointF>
{
uint k = qMin(static_cast<uint>(AngularInc(xP, yP, xQ, yQ, flatness)), 16U);
const uint count = static_cast<std::uint32_t>(sweep.raw_value()) >> (16 - k);
QVector<QPointF> arc;
arc.reserve(static_cast<int>(count) + 1);
// Arc start point
arc.append({static_cast<qreal>(xP + xC), static_cast<qreal>(yP + yC)});
xQ = InitialValue(xQ, xP, k);
yQ = InitialValue(yQ, yP, k);
for (uint i = 0; i < count; ++i)
{
CircleGen(xQ, xP, k);
CircleGen(yQ, yP, k);
arc.append({static_cast<qreal>(xP + xC), static_cast<qreal>(yP + yC)});
}
return arc;
}
//---------------------------------------------------------------------------------------------------------------------
auto EllipticArcPoints(QPointF c, qreal radius1, qreal radius2, qreal astart, qreal asweep,
qreal approximationScale) -> QVector<QPointF>
{
fpm::fixed_16_16 xC{c.x()};
fpm::fixed_16_16 yC{c.y()};
fpm::fixed_16_16 xP{c.x() + radius1};
fpm::fixed_16_16 yP{c.y()};
fpm::fixed_16_16 xQ{c.x()};
fpm::fixed_16_16 yQ{c.y() - radius2};
xP -= xC;
yP -= yC;
xQ -= xC;
yQ -= yC;
if (not qFuzzyIsNull(astart))
{
// Set new conjugate diameter end points P and Q
fpm::fixed_16_16 cosa {cos(astart)};
fpm::fixed_16_16 sina {sin(astart)};
fpm::fixed_16_16 x {xP * cosa + xQ * sina};
fpm::fixed_16_16 y {yP * cosa + yQ * sina};
xQ = xQ * cosa - xP * sina;
yQ = yQ * cosa - yP * sina;
xP = x;
yP = y;
}
// If sweep angle is negative, switch direction
if (asweep < 0)
{
xQ = -xQ;
yQ = -yQ;
asweep = -asweep;
}
if(approximationScale < minCurveApproximationScale || approximationScale > maxCurveApproximationScale)
{
approximationScale = VAbstractApplication::VApp()->Settings()->GetCurveApproximationScale();
}
fpm::fixed_16_16 flatness {maxCurveApproximationScale / approximationScale * tolerance};
fpm::fixed_16_16 swangle{asweep};
QVector<QPointF> arc = EllipseCore(xC, yC, xP, yP, xQ, yQ, swangle, flatness);
// Arc end point
fpm::fixed_16_16 cosb {qCos(asweep)};
fpm::fixed_16_16 sinb {qSin(asweep)};
xP = xP*cosb + xQ*sinb;
yP = yP*cosb + yQ*sinb;
arc.append({static_cast<qreal>(xP+xC), static_cast<qreal>(yP+yC)});
return arc;
}
} // namespace
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief VEllipticalArc default constructor.
*/
VEllipticalArc::VEllipticalArc()
: VAbstractArc(GOType::EllipticalArc), d (new VEllipticalArcData)
{}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief VEllipticalArc constructor.
* @param center center point.
* @param radius1 arc major radius.
* @param radius2 arc minor radius.
* @param f1 start angle (degree).
* @param f2 end angle (degree).
*/
VEllipticalArc::VEllipticalArc (const VPointF &center, qreal radius1, qreal radius2, const QString &formulaRadius1,
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const QString &formulaRadius2, qreal f1, const QString &formulaF1, qreal f2,
const QString &formulaF2, qreal rotationAngle, const QString &formulaRotationAngle,
quint32 idObject, Draw mode)
: VAbstractArc(GOType::EllipticalArc, center, f1, formulaF1, f2, formulaF2, idObject, mode),
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d (new VEllipticalArcData(radius1, radius2, formulaRadius1, formulaRadius2, rotationAngle, formulaRotationAngle))
{
CreateName();
}
//---------------------------------------------------------------------------------------------------------------------
VEllipticalArc::VEllipticalArc(const VPointF &center, qreal radius1, qreal radius2, qreal f1, qreal f2,
qreal rotationAngle)
: VAbstractArc(GOType::EllipticalArc, center, f1, f2, NULL_ID, Draw::Calculation),
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d (new VEllipticalArcData(radius1, radius2, rotationAngle))
{
CreateName();
}
//---------------------------------------------------------------------------------------------------------------------
VEllipticalArc::VEllipticalArc(qreal length, const QString &formulaLength, const VPointF &center, qreal radius1,
qreal radius2, const QString &formulaRadius1, const QString &formulaRadius2, qreal f1,
const QString &formulaF1, qreal rotationAngle, const QString &formulaRotationAngle,
quint32 idObject, Draw mode)
: VAbstractArc(GOType::EllipticalArc, formulaLength, center, f1, formulaF1, idObject, mode),
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d (new VEllipticalArcData(radius1, radius2, formulaRadius1, formulaRadius2, rotationAngle, formulaRotationAngle))
{
CreateName();
FindF2(length);
}
//---------------------------------------------------------------------------------------------------------------------
VEllipticalArc::VEllipticalArc(qreal length, const VPointF &center, qreal radius1, qreal radius2, qreal f1,
qreal rotationAngle)
: VAbstractArc(GOType::EllipticalArc, center, f1, NULL_ID, Draw::Calculation),
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d (new VEllipticalArcData(radius1, radius2, rotationAngle))
{
CreateName();
FindF2(length);
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief VEllipticalArc copy constructor
* @param arc arc
*/
VEllipticalArc::VEllipticalArc(const VEllipticalArc &arc)
: VAbstractArc(arc), d (arc.d)
{}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief operator = assignment operator
* @param arc arc
* @return arc
*/
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auto VEllipticalArc::operator =(const VEllipticalArc &arc) -> VEllipticalArc &
{
if ( &arc == this )
{
return *this;
}
VAbstractArc::operator=(arc);
d = arc.d;
return *this;
}
#ifdef Q_COMPILER_RVALUE_REFS
//---------------------------------------------------------------------------------------------------------------------
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VEllipticalArc::VEllipticalArc(VEllipticalArc &&arc) Q_DECL_NOTHROW
: VAbstractArc(std::move(arc)),
d(std::move(arc.d))
{}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::operator=(VEllipticalArc &&arc) Q_DECL_NOTHROW -> VEllipticalArc &
{
VAbstractArc::operator=(arc);
std::swap(d, arc.d);
return *this;
}
#endif
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::Rotate(QPointF originPoint, qreal degrees, const QString &prefix) const -> VEllipticalArc
{
originPoint = d->m_transform.inverted().map(originPoint);
QTransform t = d->m_transform;
t.translate(originPoint.x(), originPoint.y());
t.rotate(IsFlipped() ? degrees : -degrees);
t.translate(-originPoint.x(), -originPoint.y());
VEllipticalArc elArc(VAbstractArc::GetCenter(), GetRadius1(), GetRadius2(), VAbstractArc::GetStartAngle(),
VAbstractArc::GetEndAngle(), GetRotationAngle());
elArc.setName(name() + prefix);
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if (not GetAliasSuffix().isEmpty())
{
elArc.SetAliasSuffix(GetAliasSuffix() + prefix);
}
elArc.SetColor(GetColor());
elArc.SetPenStyle(GetPenStyle());
elArc.SetFlipped(IsFlipped());
elArc.SetTransform(t);
return elArc;
}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::Flip(const QLineF &axis, const QString &prefix) const -> VEllipticalArc
{
VEllipticalArc elArc(VAbstractArc::GetCenter(), GetRadius1(), GetRadius2(), VAbstractArc::GetStartAngle(),
VAbstractArc::GetEndAngle(), GetRotationAngle());
elArc.setName(name() + prefix);
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if (not GetAliasSuffix().isEmpty())
{
elArc.SetAliasSuffix(GetAliasSuffix() + prefix);
}
elArc.SetColor(GetColor());
elArc.SetPenStyle(GetPenStyle());
elArc.SetFlipped(not IsFlipped());
elArc.SetTransform(d->m_transform * VGObject::FlippingMatrix(d->m_transform.inverted().map(axis)));
return elArc;
}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::Move(qreal length, qreal angle, const QString &prefix) const -> VEllipticalArc
{
const VPointF oldCenter = VAbstractArc::GetCenter();
const VPointF center = oldCenter.Move(length, angle);
const QPointF position = d->m_transform.inverted().map(center.toQPointF()) -
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d->m_transform.inverted().map(oldCenter.toQPointF());
QTransform t = d->m_transform;
t.translate(position.x(), position.y());
VEllipticalArc elArc(oldCenter, GetRadius1(), GetRadius2(), VAbstractArc::GetStartAngle(),
VAbstractArc::GetEndAngle(), GetRotationAngle());
elArc.setName(name() + prefix);
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if (not GetAliasSuffix().isEmpty())
{
elArc.SetAliasSuffix(GetAliasSuffix() + prefix);
}
elArc.SetColor(GetColor());
elArc.SetPenStyle(GetPenStyle());
elArc.SetFlipped(IsFlipped());
elArc.SetTransform(t);
return elArc;
}
//---------------------------------------------------------------------------------------------------------------------
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VEllipticalArc::~VEllipticalArc() // NOLINT(hicpp-use-equals-default, modernize-use-equals-default)
{}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetLength return arc length.
* @return length.
*/
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auto VEllipticalArc::GetLength() const -> qreal
{
qreal length = PathLength(GetPoints());
if (IsFlipped())
{
length = length * -1;
}
return length;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetP1 return point associated with start angle.
* @return point.
*/
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auto VEllipticalArc::GetP1() const -> QPointF
{
return GetTransform().map(GetP(VAbstractArc::GetStartAngle()));
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetP2 return point associated with end angle.
* @return point.
*/
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auto VEllipticalArc::GetP2 () const -> QPointF
{
return GetTransform().map(GetP(VAbstractArc::GetEndAngle()));
}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::GetTransform() const -> QTransform
{
return d->m_transform;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetTransform(const QTransform &matrix, bool combine)
{
d->m_transform = combine ? d->m_transform * matrix : matrix;
}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::GetCenter() const -> VPointF
{
VPointF center = VAbstractArc::GetCenter();
const QPointF p = d->m_transform.map(center.toQPointF());
center.setX(p.x());
center.setY(p.y());
return center;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetPoints return list of points needed for drawing arc.
* @return list of points
*/
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auto VEllipticalArc::GetPoints() const -> QVector<QPointF>
{
const QPointF center = VAbstractArc::GetCenter().toQPointF();
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// Generate complete ellipse because angles are not correct and have to be fixed manually
QVector<QPointF> points = EllipticArcPoints(center, d->radius1, d->radius2, 0.0, M_2PI, GetApproximationScale());
points = ArcPoints(points);
QTransform t = d->m_transform;
t.translate(center.x(), center.y());
t.rotate(-GetRotationAngle());
t.translate(-center.x(), -center.y());
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std::transform(points.begin(), points.end(), points.begin(), [t](const QPointF &point) { return t.map(point); });
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return points;
}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::GetStartAngle() const -> qreal
{
return QLineF(GetCenter().toQPointF(), GetP1()).angle() - GetRotationAngle();
}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::GetEndAngle() const -> qreal
{
return QLineF(GetCenter().toQPointF(), GetP2()).angle() - GetRotationAngle();
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief CutArc cut arc into two arcs.
* @param length length first arc.
* @param arc1 first arc.
* @param arc2 second arc.
* @return point cutting
*/
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auto VEllipticalArc::CutArc(const qreal &length, VEllipticalArc &arc1, VEllipticalArc &arc2,
const QString &pointName) const -> QPointF
{
//Always need return two arcs, so we must correct wrong length.
qreal len = 0;
const qreal fullLength = GetLength();
if (fullLength <= minLength)
{
arc1 = VEllipticalArc();
arc2 = VEllipticalArc();
const QString errorMsg = QObject::tr("Unable to cut curve '%1'. The curve is too short.").arg(name());
VAbstractApplication::VApp()->IsPedantic() ? throw VException(errorMsg) :
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qWarning() << VAbstractApplication::warningMessageSignature + errorMsg;
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return {};
}
const qreal maxLength = fullLength - minLength;
if (length < minLength)
{
len = minLength;
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QString errorMsg;
if (not pointName.isEmpty())
{
errorMsg = QObject::tr("Curve '%1'. Length of a cut segment (%2) is too small. Optimize it to minimal "
"value.").arg(name(), pointName);
}
else
{
errorMsg = QObject::tr("Curve '%1'. Length of a cut segment is too small. Optimize it to minimal value.")
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.arg(name());
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}
VAbstractApplication::VApp()->IsPedantic() ? throw VException(errorMsg) :
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qWarning() << VAbstractApplication::warningMessageSignature + errorMsg;
}
else if (length > maxLength)
{
len = maxLength;
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QString errorMsg;
if (not pointName.isEmpty())
{
errorMsg = QObject::tr("Curve '%1'. Length of a cut segment (%2) is too big. Optimize it to maximal value.")
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.arg(name(), pointName);
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}
else
{
errorMsg = QObject::tr("Curve '%1'. Length of a cut segment is too big. Optimize it to maximal value.")
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.arg(name());
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}
VAbstractApplication::VApp()->IsPedantic() ? throw VException(errorMsg) :
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qWarning() << VAbstractApplication::warningMessageSignature + errorMsg;
}
else
{
len = length;
}
// the first arc has given length and startAngle just like in the origin arc
arc1 = VEllipticalArc (len, QString().setNum(length), GetCenter(), d->radius1, d->radius2,
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d->formulaRadius1, d->formulaRadius2, GetStartAngle(), GetFormulaF1(), d->rotationAngle,
GetFormulaRotationAngle(), getIdObject(), getMode());
// the second arc has startAngle just like endAngle of the first arc
// and it has endAngle just like endAngle of the origin arc
arc2 = VEllipticalArc (GetCenter(), d->radius1, d->radius2, d->formulaRadius1, d->formulaRadius2,
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arc1.GetEndAngle(), arc1.GetFormulaF2(), GetEndAngle(), GetFormulaF2(), d->rotationAngle,
GetFormulaRotationAngle(), getIdObject(), getMode());
return arc1.GetP1();
}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::CutArc(const qreal &length, const QString &pointName) const -> QPointF
{
VEllipticalArc arc1;
VEllipticalArc arc2;
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return this->CutArc(length, arc1, arc2, pointName);
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::CreateName()
{
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QString name = ELARC_ + QStringLiteral("%1").arg(this->GetCenter().name());
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const QString nameStr = QStringLiteral("_%1");
if (getMode() == Draw::Modeling && getIdObject() != NULL_ID)
{
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name += nameStr.arg(getIdObject());
}
else if (VAbstractCurve::id() != NULL_ID)
{
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name += nameStr.arg(VAbstractCurve::id());
}
if (GetDuplicate() > 0)
{
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name += nameStr.arg(GetDuplicate());
}
setName(name);
}
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//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::CreateAlias()
{
const QString aliasSuffix = GetAliasSuffix();
if (aliasSuffix.isEmpty())
{
SetAlias(QString());
return;
}
SetAlias(ELARC_ + aliasSuffix);
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::FindF2(qreal length)
{
qreal gap = 180;
if (length < 0)
{
SetFlipped(true);
gap = -gap;
}
while (length > MaxLength())
{
length = MaxLength();
}
// We need to calculate the second angle
// first approximation of angle between start and end angles
QLineF radius1(GetCenter().x(), GetCenter().y(), GetCenter().x() + d->radius1, GetCenter().y());
radius1.setAngle(GetStartAngle());
radius1.setAngle(radius1.angle() + gap);
qreal endAngle = radius1.angle();
// we need to set the end angle, because we want to use GetLength()
SetFormulaF2(QString::number(endAngle), endAngle);
qreal lenBez = GetLength(); // first approximation of length
const qreal eps = ToPixel(0.001, Unit::Mm);
while (qAbs(lenBez - length) > eps)
{
gap = gap/2;
if (gap < 0.0001)
{
break;
}
if (lenBez > length)
{ // we selected too big end angle
radius1.setAngle(endAngle - qAbs(gap));
}
else
{ // we selected too little end angle
radius1.setAngle(endAngle + qAbs(gap));
}
endAngle = radius1.angle();
// we need to set d->f2, because we use it when we calculate GetLength
SetFormulaF2(QString::number(endAngle), endAngle);
lenBez = GetLength();
}
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SetFormulaLength(QString::number(VAbstractValApplication::VApp()->fromPixel(lenBez)));
}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::MaxLength() const -> qreal
{
const qreal h = qPow(d->radius1 - d->radius2, 2) / qPow(d->radius1 + d->radius2, 2);
const qreal ellipseLength = M_PI * (d->radius1 + d->radius2) * (1+3*h/(10+qSqrt(4-3*h)));
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return ellipseLength;
}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::GetP(qreal angle) const -> QPointF
{
if (qFuzzyIsNull(GetRadius1()) && qFuzzyIsNull(GetRadius2()))
{
return GetCenter().toQPointF();
}
QLineF line(0, 0, 100, 0);
line.setAngle(angle);
const qreal a = not qFuzzyIsNull(GetRadius1()) ? line.p2().x() / GetRadius1() : 0;
const qreal b = not qFuzzyIsNull(GetRadius2()) ? line.p2().y() / GetRadius2() : 0;
const qreal k = qSqrt(a*a + b*b);
if (qFuzzyIsNull(k))
{
return GetCenter().toQPointF();
}
QPointF p(line.p2().x() / k, line.p2().y() / k);
QLineF line2(QPointF(), p);
SCASSERT(VFuzzyComparePossibleNulls(line2.angle(), line.angle()))
line2.setAngle(line2.angle() + GetRotationAngle());
return line2.p2() + VAbstractArc::GetCenter().toQPointF();
}
//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::ArcPoints(QVector<QPointF> points) const -> QVector<QPointF>
{
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if (points.size() < 2 || VFuzzyComparePossibleNulls(VAbstractArc::GetStartAngle(), VAbstractArc::GetEndAngle()))
{
return points;
}
QPointF center = static_cast<QPointF>(GetCenter());
qreal radius = qMax(d->radius1, d->radius2) * 2;
QLineF start(center.x(), center.y(), center.x() + radius, center.y());
start.setAngle(VAbstractArc::GetStartAngle());
QLineF end(center.x(), center.y(), center.x() + radius, center.y());
end.setAngle(VAbstractArc::GetEndAngle());
if (VFuzzyComparePossibleNulls(start.angle(), end.angle()))
{
return points;
}
auto IsBoundedIntersection = [](QLineF::IntersectType type, QPointF p, const QLineF &segment1,
const QLineF &segment2)
{
return type == QLineF::BoundedIntersection ||
(VGObject::IsPointOnLineSegment (p, segment1.p1(), segment2.p1()) &&
VGObject::IsPointOnLineSegment (p, segment2.p1(), segment2.p2()));
};
bool begin = true;
if (start.angle() > end.angle())
{
for (int i=0; i < points.size()-1; ++i)
{
QLineF edge(points.at(i), points.at(i+1));
QPointF p;
QLineF::IntersectType type = Intersects(start, edge, &p);
// QLineF::intersects not always accurate on edge cases
if (IsBoundedIntersection(type, p, edge, start))
{
QVector<QPointF> head = points.mid(0, i+1);
QVector<QPointF> tail = points.mid(i+1, -1);
tail.prepend(p);
points = tail + head;
begin = false;
break;
}
}
}
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QVector<QPointF> arc;
arc.reserve(points.size());
for (int i=0; i < points.size()-1; ++i)
{
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QLineF edge(points.at(i), points.at(i+1));
if (begin)
{
QPointF p;
QLineF::IntersectType type = Intersects(start, edge, &p);
// QLineF::intersects not always accurate on edge cases
if (IsBoundedIntersection(type, p, edge, start))
{
arc.append(p);
begin = false;
}
}
else
{
QPointF p;
QLineF::IntersectType type = Intersects(end, edge, &p);
// QLineF::intersects not always accurate on edge cases
if (IsBoundedIntersection(type, p, edge, end))
{
arc.append(points.at(i));
arc.append(p);
break;
}
arc.append(points.at(i));
}
}
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if (arc.isEmpty())
{
return points;
}
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return arc;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetFormulaRadius1 return formula for major radius.
* @return radius.
*/
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auto VEllipticalArc::GetFormulaRadius1() const -> QString
{
return d->formulaRadius1;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetFormulaRadius2 return formula for minor radius.
* @return radius.
*/
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auto VEllipticalArc::GetFormulaRadius2() const -> QString
{
return d->formulaRadius2;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetFormulaRotationAngle return formula for rotation angle.
* @return rotationAngle.
*/
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auto VEllipticalArc::GetFormulaRotationAngle() const -> QString
{
return d->formulaRotationAngle;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetFormulaRadius1(const QString &formula, qreal value)
{
d->formulaRadius1 = formula;
d->radius1 = value;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetRadius1(qreal value)
{
d->formulaRadius1 = QString::number(value);
d->radius1 = value;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetFormulaRadius2(const QString &formula, qreal value)
{
d->formulaRadius2 = formula;
d->radius2 = value;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetRadius2(qreal value)
{
d->formulaRadius2 = QString::number(value);
d->radius2 = value;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetFormulaRotationAngle(const QString &formula, qreal value)
{
d->formulaRotationAngle = formula;
d->rotationAngle = value;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetRotationAngle(qreal value)
{
d->formulaRotationAngle = QString::number(value);
d->rotationAngle = value;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRadius1 return elliptical arc major radius.
* @return string with formula.
*/
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auto VEllipticalArc::GetRadius1() const -> qreal
{
return d->radius1;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRadius2 return elliptical arc minor radius.
* @return string with formula.
*/
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auto VEllipticalArc::GetRadius2() const -> qreal
{
return d->radius2;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRotationAngle return rotation angle.
* @return rotationAngle.
*/
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auto VEllipticalArc::GetRotationAngle() const -> qreal
{
return d->rotationAngle;
}