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://bitbucket.org/dismine/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 "../vmisc/def.h"
#include "../vmisc/vmath.h"
#include "../ifc/ifcdef.h"
#include "../vmisc/vabstractapplication.h"
#include "vabstractcurve.h"
#include "vellipticalarc_p.h"
#include "vspline.h"
//---------------------------------------------------------------------------------------------------------------------
/**
* @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,
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),
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),
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),
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),
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
*/
VEllipticalArc &VEllipticalArc::operator =(const VEllipticalArc &arc)
{
if ( &arc == this )
{
return *this;
}
VAbstractArc::operator=(arc);
d = arc.d;
return *this;
}
//---------------------------------------------------------------------------------------------------------------------
VEllipticalArc VEllipticalArc::Rotate(QPointF originPoint, qreal degrees, const QString &prefix) const
{
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);
elArc.SetColor(GetColor());
elArc.SetPenStyle(GetPenStyle());
elArc.SetFlipped(IsFlipped());
elArc.SetTransform(t);
return elArc;
}
//---------------------------------------------------------------------------------------------------------------------
VEllipticalArc VEllipticalArc::Flip(const QLineF &axis, const QString &prefix) const
{
VEllipticalArc elArc(VAbstractArc::GetCenter(), GetRadius1(), GetRadius2(), VAbstractArc::GetStartAngle(),
VAbstractArc::GetEndAngle(), GetRotationAngle());
elArc.setName(name() + 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;
}
//---------------------------------------------------------------------------------------------------------------------
VEllipticalArc VEllipticalArc::Move(qreal length, qreal angle, const QString &prefix) const
{
const VPointF oldCenter = VAbstractArc::GetCenter();
const VPointF center = oldCenter.Move(length, angle);
const QPointF position = d->m_transform.inverted().map(center.toQPointF()) -
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);
elArc.SetColor(GetColor());
elArc.SetPenStyle(GetPenStyle());
elArc.SetFlipped(IsFlipped());
elArc.SetTransform(t);
return elArc;
}
//---------------------------------------------------------------------------------------------------------------------
VEllipticalArc::~VEllipticalArc()
{}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetLength return arc length.
* @return length.
*/
qreal VEllipticalArc::GetLength() const
{
qreal length = PathLength(GetPoints());
if (IsFlipped())
{
length = length * -1;
}
return length;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetP1 return point associated with start angle.
* @return point.
*/
QPointF VEllipticalArc::GetP1() const
{
return GetTransform().map(GetP(VAbstractArc::GetStartAngle()));
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetP2 return point associated with end angle.
* @return point.
*/
QPointF VEllipticalArc::GetP2 () const
{
return GetTransform().map(GetP(VAbstractArc::GetEndAngle()));
}
//---------------------------------------------------------------------------------------------------------------------
QTransform VEllipticalArc::GetTransform() const
{
return d->m_transform;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetTransform(const QTransform &matrix, bool combine)
{
d->m_transform = combine ? d->m_transform * matrix : matrix;
}
//---------------------------------------------------------------------------------------------------------------------
VPointF VEllipticalArc::GetCenter() const
{
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
*/
QVector<QPointF> VEllipticalArc::GetPoints() const
{
const QPointF center = VAbstractArc::GetCenter().toQPointF();
QRectF box(center.x() - d->radius1, center.y() - d->radius2, d->radius1*2, d->radius2*2);
QLineF startLine(center.x(), center.y(), center.x() + d->radius1, center.y());
QLineF endLine = startLine;
startLine.setAngle(VAbstractArc::GetStartAngle());
endLine.setAngle(VAbstractArc::GetEndAngle());
qreal sweepAngle = startLine.angleTo(endLine);
if (qFuzzyIsNull(sweepAngle))
{
sweepAngle = 360;
}
QPainterPath path;
path.arcTo(box, VAbstractArc::GetStartAngle(), sweepAngle);
QTransform t = d->m_transform;
t.translate(center.x(), center.y());
t.rotate(-GetRotationAngle());
t.translate(-center.x(), -center.y());
path = t.map(path);
QPolygonF polygon;
const QList<QPolygonF> sub = path.toSubpathPolygons();
if (not sub.isEmpty())
{
#if QT_VERSION >= QT_VERSION_CHECK(5, 6, 0)
polygon = path.toSubpathPolygons().constFirst();
#else
polygon = path.toSubpathPolygons().first(); // clazy:exclude=detaching-temporary
#endif
if (not polygon.isEmpty())
{
polygon.removeFirst(); // remove point (0;0)
}
}
return static_cast<QVector<QPointF>>(polygon);
}
//---------------------------------------------------------------------------------------------------------------------
qreal VEllipticalArc::GetStartAngle() const
{
return QLineF(GetCenter().toQPointF(), GetP1()).angle() - GetRotationAngle();
}
//---------------------------------------------------------------------------------------------------------------------
qreal VEllipticalArc::GetEndAngle() const
{
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
*/
QPointF VEllipticalArc::CutArc(const qreal &length, VEllipticalArc &arc1, VEllipticalArc &arc2) const
{
//Always need return two arcs, so we must correct wrong length.
qreal len = 0;
const qreal minLength = ToPixel(1, Unit::Mm);
const qreal fullLength = GetLength();
if (fullLength <= minLength)
{
arc1 = VEllipticalArc();
arc2 = VEllipticalArc();
return QPointF();
}
const qreal maxLength = fullLength - minLength;
if (length < minLength)
{
len = minLength;
}
else if (length > maxLength)
{
len = maxLength;
}
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,
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,
arc1.GetEndAngle(), arc1.GetFormulaF2(), GetEndAngle(), GetFormulaF2(), d->rotationAngle,
GetFormulaRotationAngle(), getIdObject(), getMode());
return arc1.GetP1();
}
//---------------------------------------------------------------------------------------------------------------------
QPointF VEllipticalArc::CutArc(const qreal &length) const
{
VEllipticalArc arc1;
VEllipticalArc arc2;
return this->CutArc(length, arc1, arc2);
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::CreateName()
{
QString name = ELARC_ + QString("%1").arg(this->GetCenter().name());
if (VAbstractCurve::id() != NULL_ID)
{
name += QString("_%1").arg(VAbstractCurve::id());
}
if (GetDuplicate() > 0)
{
name += QString("_%1").arg(GetDuplicate());
}
setName(name);
}
//---------------------------------------------------------------------------------------------------------------------
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();
}
SetFormulaLength(QString::number(qApp->fromPixel(lenBez)));
}
//---------------------------------------------------------------------------------------------------------------------
qreal VEllipticalArc::MaxLength() const
{
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)));
2016-02-19 10:43:46 +01:00
return ellipseLength;
}
//---------------------------------------------------------------------------------------------------------------------
QPointF VEllipticalArc::GetP(qreal angle) const
{
QLineF line(0, 0, 100, 0);
line.setAngle(angle);
const qreal a = line.p2().x() / GetRadius1();
const qreal b = line.p2().y() / GetRadius2();
const qreal k = qSqrt(a*a + b*b);
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();
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetFormulaRadius1 return formula for major radius.
* @return radius.
*/
QString VEllipticalArc::GetFormulaRadius1() const
{
return d->formulaRadius1;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetFormulaRadius2 return formula for minor radius.
* @return radius.
*/
QString VEllipticalArc::GetFormulaRadius2() const
{
return d->formulaRadius2;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetFormulaRotationAngle return formula for rotation angle.
* @return rotationAngle.
*/
QString VEllipticalArc::GetFormulaRotationAngle() const
{
return d->formulaRotationAngle;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetFormulaRadius1(const QString &formula, qreal value)
{
d->formulaRadius1 = formula;
d->radius1 = value;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetFormulaRadius2(const QString &formula, qreal value)
{
d->formulaRadius2 = formula;
d->radius2 = value;
}
//---------------------------------------------------------------------------------------------------------------------
void VEllipticalArc::SetFormulaRotationAngle(const QString &formula, qreal value)
{
d->formulaRotationAngle = formula;
d->rotationAngle = value;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRadius1 return elliptical arc major radius.
* @return string with formula.
*/
qreal VEllipticalArc::GetRadius1() const
{
return d->radius1;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRadius2 return elliptical arc minor radius.
* @return string with formula.
*/
qreal VEllipticalArc::GetRadius2() const
{
return d->radius2;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRotationAngle return rotation angle.
* @return rotationAngle.
*/
qreal VEllipticalArc::GetRotationAngle() const
{
return d->rotationAngle;
}