/************************************************************************
**
** @file vellipticalarc.cpp
** @author Valentina Zhuravska <zhuravska19(at)gmail.com>
** @date February 1, 2016
**
** @brief
** @copyright
** This source code is part of the Valentine 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 ¢er, qreal radius1, qreal radius2, const QString &formulaRadius1,
const QString &formulaRadius2, qreal f1, const QString &formulaF1, qreal f2,
const QString &formulaF2, qreal rotationAngle, quint32 idObject, Draw mode)
: VAbstractArc(GOType::EllipticalArc, center, f1, formulaF1, f2, formulaF2, idObject, mode),
d (new VEllipticalArcData(radius1, radius2, formulaRadius1, formulaRadius2, rotationAngle))
{
CreateName();
}
//---------------------------------------------------------------------------------------------------------------------
VEllipticalArc::VEllipticalArc(const VPointF ¢er, 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 ¢er, qreal radius1,
qreal radius2, const QString &formulaRadius1, const QString &formulaRadius2, qreal f1,
const QString &formulaF1, qreal rotationAngle, quint32 idObject, Draw mode)
: VAbstractArc(GOType::EllipticalArc, formulaLength, center, f1, formulaF1, idObject, mode),
d (new VEllipticalArcData(radius1, radius2, formulaRadius1, formulaRadius2, rotationAngle))
{
CreateName();
FindF2(length);
}
//---------------------------------------------------------------------------------------------------------------------
VEllipticalArc::VEllipticalArc(qreal length, const VPointF ¢er, 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(const QPointF &originPoint, qreal degrees, const QString &prefix) const
{
const VPointF center = GetCenter().Rotate(originPoint, degrees);
const QPointF p1 = VPointF::RotatePF(originPoint, GetP1(), degrees);
const QPointF p2 = VPointF::RotatePF(originPoint, GetP2(), degrees);
const qreal f1 = QLineF(center, p1).angle() - GetRotationAngle();
const qreal f2 = QLineF(center, p2).angle() - GetRotationAngle();
VEllipticalArc elArc(center, GetRadius1(), GetRadius2(), f1, f2, GetRotationAngle());
elArc.setName(name() + prefix);
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 GetPoint(GetStartAngle());
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetP2 return point associated with end angle.
* @return point.
*/
QPointF VEllipticalArc::GetP2 () const
{
return GetPoint(GetEndAngle());
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetPoint return point associated with angle.
* @return point.
*/
QPointF VEllipticalArc::GetPoint (qreal angle) const
{
// Original idea http://alex-black.ru/article.php?content=109#head_3
if (angle > 360 || angle < 0)
{// Filter incorect value of angle
QLineF dummy(0, 0, 100, 0);
dummy.setAngle(angle);
angle = dummy.angle();
}
// p - point without rotation
qreal x = 0;
qreal y = 0;
qreal angleRad = qDegreesToRadians(angle);
const int n = GetQuadransRad(angleRad);
if (VFuzzyComparePossibleNulls(angleRad, 0) || VFuzzyComparePossibleNulls(angleRad, M_2PI) ||
VFuzzyComparePossibleNulls(angleRad, -M_2PI))
{ // 0 (360, -360) degress
x = d->radius1;
y = 0;
}
else if (VFuzzyComparePossibleNulls(angleRad, M_PI_2) || VFuzzyComparePossibleNulls(angleRad, -3 * M_PI_2))
{ // 90 (-270) degress
x = 0;
y = d->radius2;
}
else if (VFuzzyComparePossibleNulls(angleRad, M_PI) || VFuzzyComparePossibleNulls(angleRad, -M_PI))
{ // 180 (-180) degress
x = -d->radius1;
y = 0;
}
else if (VFuzzyComparePossibleNulls(angleRad, 3 * M_PI_2) || VFuzzyComparePossibleNulls(angleRad, -M_PI_2))
{ // 270 (-90) degress
x = 0;
y = -d->radius2;
}
else
{ // cases between
const qreal r1Pow = qPow(d->radius1, 2);
const qreal r2Pow = qPow(d->radius2, 2);
const qreal angleTan = qTan(angleRad);
const qreal angleTan2 = qPow(angleTan, 2);
x = qSqrt((r1Pow * r2Pow) / (r1Pow * angleTan2 + r2Pow));
y = angleTan * x;
}
switch (n)
{
case 1:
x = +x;
y = +y;
break;
case 2:
x = -x;
y = +y;
break;
case 3:
x = -x;
y = -y;
break;
case 4:
x = +x;
y = -y;
break;
default:
break;
}
QPointF p (GetCenter().x() + x, GetCenter().y() + y);
// rotation of point
QLineF line(GetCenter(), p);
line.setAngle(line.angle() + GetRotationAngle());
return line.p2();
}
//---------------------------------------------------------------------------------------------------------------------
int VEllipticalArc::GetQuadransRad(qreal &rad)
{
if (rad > M_PI)
{
rad = rad - M_2PI;
}
if (rad < -M_PI)
{
rad = rad + M_2PI;
}
int n = 0;
if (rad > 0)
{
if (rad >= 0 && rad <= M_PI_2)
{
n = 1;
rad = -rad;
}
else if (rad > M_PI_2 && rad <= M_PI)
{
n = 2;
rad = M_PI+rad;
}
}
else
{
if (rad <= 0 && rad >= -M_PI_2)
{
n = 4;
}
else if (rad < -M_PI_2 && rad >= -M_PI)
{
n = 3;
rad = M_PI-rad;
}
}
return n;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetAngles return list of angles needed for drawing arc.
* @return list of angles
*/
QVector<qreal> VEllipticalArc::GetAngles() const
{
QVector<qreal> sectionAngle;
qreal angle = AngleArc();
if (qFuzzyIsNull(angle))
{// Return the array that includes one angle
sectionAngle.append(GetStartAngle());
return sectionAngle;
}
if (angle > 360 || angle < 0)
{// Filter incorect value of angle
QLineF dummy(0,0, 100, 0);
dummy.setAngle(angle);
angle = dummy.angle();
}
const qreal angleInterpolation = 45; //degree
const int sections = qFloor(angle / angleInterpolation);
for (int i = 0; i < sections; ++i)
{
sectionAngle.append(angleInterpolation);
}
const qreal tail = angle - sections * angleInterpolation;
if (tail > 0)
{
sectionAngle.append(tail);
}
return sectionAngle;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetPoints return list of points needed for drawing arc.
* @return list of points
*/
QVector<QPointF> VEllipticalArc::GetPoints() const
{
QVector<QPointF> points;
QVector<qreal> sectionAngle = GetAngles();
qreal currentAngle;
IsFlipped() ? currentAngle = GetEndAngle() : currentAngle = GetStartAngle();
for (int i = 0; i < sectionAngle.size(); ++i)
{
QPointF startPoint = GetPoint(currentAngle);
QPointF ellipsePoint2 = GetPoint(currentAngle + sectionAngle.at(i)/3);
QPointF ellipsePoint3 = GetPoint(currentAngle + 2*sectionAngle.at(i)/3);
QPointF lastPoint = GetPoint(currentAngle + sectionAngle.at(i));
// four points that are on ellipse
QPointF bezierPoint1 = ( -5*startPoint + 18*ellipsePoint2 -9*ellipsePoint3 + 2*lastPoint )/6;
QPointF bezierPoint2 = ( 2*startPoint - 9*ellipsePoint2 + 18*ellipsePoint3 - 5*lastPoint )/6;
VSpline spl(VPointF(startPoint), bezierPoint1, bezierPoint2, VPointF(lastPoint), 1.0);
QVector<QPointF> splPoints = spl.GetPoints();
if (not splPoints.isEmpty() && i != sectionAngle.size() - 1)
{
splPoints.removeLast();
}
points << splPoints;
currentAngle += sectionAngle.at(i);
}
return points;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @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,
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,
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 = EARC_ + 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 = length - MaxLength();
}
// We need to calculate the second angle
// first approximation of angle between start and end angles
qreal endAngle = GetStartAngle() + gap;
// 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(0.1, Unit::Mm);
while (qAbs(lenBez - length) > eps)
{
gap = gap/2;
if (gap < 0.0001)
{
break;
}
if (lenBez > length)
{ // we selected too big end angle
endAngle = endAngle - qAbs(gap);
}
else
{ // we selected too little end angle
endAngle = endAngle + qAbs(gap);
}
// we need to set d->f2, because we use it when we calculate GetLength
SetFormulaF2(QString::number(endAngle), endAngle);
lenBez = GetLength();
}
SetFormulaF2(QString::number(endAngle), endAngle);
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)));
return ellipseLength;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRadius return arc major radius.
* @return radius.
*/
QString VEllipticalArc::GetFormulaRadius1() const
{
return d->formulaRadius1;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRadius return arc minor radius.
* @return radius.
*/
QString VEllipticalArc::GetFormulaRadius2() const
{
return d->formulaRadius2;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRotationAngle return rotation angle.
* @return rotationAngle.
*/
qreal VEllipticalArc::GetRotationAngle() const
{
return d->rotationAngle;
}
//---------------------------------------------------------------------------------------------------------------------
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;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRadius return formula for major radius.
* @return string with formula.
*/
qreal VEllipticalArc::GetRadius1() const
{
return d->radius1;
}
//---------------------------------------------------------------------------------------------------------------------
/**
* @brief GetRadius return formula for minor radius.
* @return string with formula.
*/
qreal VEllipticalArc::GetRadius2() const
{
return d->radius2;
}