2015-01-02 17:32:26 +01:00
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/************************************************************************
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**
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** @file vabstractdetail.cpp
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** @author Roman Telezhynskyi <dismine(at)gmail.com>
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** @date 2 1, 2015
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**
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** @brief
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** @copyright
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** This source code is part of the Valentine project, a pattern making
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** program, whose allow create and modeling patterns of clothing.
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2015-02-27 11:27:48 +01:00
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** Copyright (C) 2013-2015 Valentina project
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2015-01-02 17:32:26 +01:00
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** <https://bitbucket.org/dismine/valentina> All Rights Reserved.
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**
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** Valentina is free software: you can redistribute it and/or modify
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** it under the terms of the GNU General Public License as published by
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** the Free Software Foundation, either version 3 of the License, or
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** (at your option) any later version.
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**
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** Valentina is distributed in the hope that it will be useful,
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** but WITHOUT ANY WARRANTY; without even the implied warranty of
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** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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** GNU General Public License for more details.
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**
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** You should have received a copy of the GNU General Public License
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** along with Valentina. If not, see <http://www.gnu.org/licenses/>.
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**
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*************************************************************************/
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#include "vabstractdetail.h"
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#include "vabstractdetail_p.h"
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2016-05-26 10:26:54 +02:00
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#include "../vgeometry/vgobject.h"
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2015-01-07 17:54:43 +01:00
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#include <QVector>
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#include <QPointF>
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#include <QLineF>
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2015-02-26 21:18:52 +01:00
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#include <QDebug>
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2015-01-07 17:54:43 +01:00
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2015-01-02 17:32:26 +01:00
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief VAbstractDetail default contructor. Create empty detail.
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*/
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VAbstractDetail::VAbstractDetail()
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:d(new VAbstractDetailData)
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{}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief VAbstractDetail constructor.
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* @param name detail name.
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*/
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VAbstractDetail::VAbstractDetail(const QString &name)
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:d(new VAbstractDetailData(name))
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{}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief VAbstractDetail copy constructor.
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* @param detail detail.
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*/
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VAbstractDetail::VAbstractDetail(const VAbstractDetail &detail)
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:d (detail.d)
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{}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief operator = assignment operator.
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* @param detail detail.
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* @return new detail.
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*/
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VAbstractDetail &VAbstractDetail::operator=(const VAbstractDetail &detail)
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{
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if ( &detail == this )
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{
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return *this;
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}
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d = detail.d;
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return *this;
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}
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//---------------------------------------------------------------------------------------------------------------------
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VAbstractDetail::~VAbstractDetail()
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{}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief Clear detail full clear.
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*/
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void VAbstractDetail::Clear()
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{
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d->name.clear();
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d->seamAllowance = false;
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d->closed = true;
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d->width = 0;
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief getName return detail name.
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* @return name.
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*/
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QString VAbstractDetail::getName() const
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{
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return d->name;
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief setName set detail name.
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* @param value new name.
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*/
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void VAbstractDetail::setName(const QString &value)
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{
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d->name = value;
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief getSeamAllowance keep status for seam allowance detail.
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* @return true - need seam allowance, false - no need seam allowance.
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*/
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bool VAbstractDetail::getSeamAllowance() const
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{
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return d->seamAllowance;
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief setSeamAllowance set status for seam allowance detail.
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* @param value true - need seam allowance, false - no need seam allowance.
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*/
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void VAbstractDetail::setSeamAllowance(bool value)
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{
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d->seamAllowance = value;
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief getClosed keep close status for detail equdistant.
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* @return true - close equdistant, false - don't close equdistant.
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*/
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bool VAbstractDetail::getClosed() const
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{
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return d->closed;
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief setClosed set close status for detail equdistant.
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* @param value true - close equdistant, false - don't close equdistant.
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*/
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void VAbstractDetail::setClosed(bool value)
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{
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d->closed = value;
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief getWidth return value detail seam allowance.
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* @return value in mm.
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*/
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qreal VAbstractDetail::getWidth() const
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{
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return d->width;
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief setWidth set value detail seam allowance.
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* @param value width in mm.
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*/
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void VAbstractDetail::setWidth(const qreal &value)
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{
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d->width = value;
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}
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2015-01-07 17:54:43 +01:00
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//---------------------------------------------------------------------------------------------------------------------
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QVector<QPointF> VAbstractDetail::Equidistant(const QVector<QPointF> &points, const EquidistantType &eqv, qreal width)
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{
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QVector<QPointF> ekvPoints;
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if (width <= 0)
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{
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qDebug()<<"Width <= 0.";
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return QVector<QPointF>();
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}
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QVector<QPointF> p = CorrectEquidistantPoints(points);
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if ( p.size() < 3 )
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{
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qDebug()<<"Not enough points for building the equidistant.";
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return QVector<QPointF>();
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}
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if (eqv == EquidistantType::CloseEquidistant)
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{
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2015-01-15 15:24:37 +01:00
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p.append(p.at(0));
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2015-01-07 17:54:43 +01:00
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}
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2015-01-15 15:24:37 +01:00
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for (qint32 i = 0; i < p.size(); ++i )
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2015-01-07 17:54:43 +01:00
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{
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if ( i == 0 && eqv == EquidistantType::CloseEquidistant)
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{//first point, polyline closed
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2015-01-15 15:24:37 +01:00
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ekvPoints<<EkvPoint(QLineF(p.at(p.size()-2), p.at(p.size()-1)), QLineF(p.at(1), p.at(0)), width);
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2015-01-07 17:54:43 +01:00
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continue;
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}
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else if (i == 0 && eqv == EquidistantType::OpenEquidistant)
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{//first point, polyline doesn't closed
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2015-11-15 19:49:16 +01:00
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ekvPoints.append(UnclosedEkvPoint(QLineF(p.at(0), p.at(1)), QLineF(p.at(0), p.at(p.size()-1)), width));
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2015-01-07 17:54:43 +01:00
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continue;
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}
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2015-01-15 15:24:37 +01:00
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if (i == p.size()-1 && eqv == EquidistantType::CloseEquidistant)
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2015-01-07 17:54:43 +01:00
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{//last point, polyline closed
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ekvPoints.append(ekvPoints.at(0));
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continue;
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}
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2015-01-15 15:24:37 +01:00
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else if (i == p.size()-1 && eqv == EquidistantType::OpenEquidistant)
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2015-01-07 17:54:43 +01:00
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{//last point, polyline doesn't closed
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2015-11-15 19:49:16 +01:00
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ekvPoints.append(UnclosedEkvPoint(QLineF(p.at(p.size()-2), p.at(p.size()-1)),
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QLineF(p.at(0), p.at(p.size()-1)), width));
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continue;
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2015-01-07 17:54:43 +01:00
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}
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//points in the middle of polyline
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2015-01-15 15:24:37 +01:00
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ekvPoints<<EkvPoint(QLineF(p.at(i-1), p.at(i)), QLineF(p.at(i+1), p.at(i)), width);
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2015-01-07 17:54:43 +01:00
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}
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2015-04-16 14:43:40 +02:00
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ekvPoints = CheckLoops(ekvPoints);//Result path can contain loops
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2015-01-07 17:54:43 +01:00
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return ekvPoints;
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}
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//---------------------------------------------------------------------------------------------------------------------
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QVector<QPointF> VAbstractDetail::RemoveDublicates(const QVector<QPointF> &points)
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{
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QVector<QPointF> p = points;
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2015-05-17 17:31:17 +02:00
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if (not p.isEmpty() && p.size() > 1)
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2015-01-07 17:54:43 +01:00
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{
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2015-05-17 17:31:17 +02:00
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// Path can't be closed
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if (p.first() == p.last())
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{
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#if QT_VERSION < QT_VERSION_CHECK(5, 1, 0)
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p.remove(p.size() - 1);
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#else
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p.removeLast();
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#endif
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}
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}
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2015-01-07 17:54:43 +01:00
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2015-05-17 17:31:17 +02:00
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for (int i = 0; i < p.size()-1; ++i)
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{
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if (p.at(i) == p.at(i+1))
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2015-01-07 17:54:43 +01:00
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{
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2015-05-17 17:31:17 +02:00
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p.erase(p.begin() + i + 1);
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--i;
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continue;
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2015-01-07 17:54:43 +01:00
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}
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}
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return p;
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief CorrectEquidistantPoints clear equivalent points and remove point on line from equdistant.
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* @param points list of points equdistant.
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* @return corrected list.
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*/
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QVector<QPointF> VAbstractDetail::CorrectEquidistantPoints(const QVector<QPointF> &points)
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{
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QVector<QPointF> correctPoints;
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if (points.size()<4)//Better don't check if only three points. We can destroy equidistant.
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{
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qDebug()<<"Only three points.";
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return points;
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}
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//Clear equivalent points
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correctPoints = RemoveDublicates(points);
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if (correctPoints.size()<3)
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{
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return correctPoints;
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}
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//Remove point on line
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QPointF point;
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for (qint32 i = 1; i <correctPoints.size()-1; ++i)
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{
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QLineF l1(correctPoints.at(i-1), correctPoints.at(i));
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QLineF l2(correctPoints.at(i), correctPoints.at(i+1));
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QLineF::IntersectType intersect = l1.intersect(l2, &point);
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if (intersect == QLineF::NoIntersection)
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{
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correctPoints.remove(i);
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}
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}
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return correctPoints;
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief CheckLoops seek and delete loops in equidistant.
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* @param points vector of points of equidistant.
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* @return vector of points of equidistant.
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*/
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QVector<QPointF> VAbstractDetail::CheckLoops(const QVector<QPointF> &points)
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{
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2016-01-09 22:53:17 +01:00
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const int count = points.size();
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2015-01-07 17:54:43 +01:00
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/*If we got less than 4 points no need seek loops.*/
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2016-01-09 22:53:17 +01:00
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if (count < 4)
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2015-01-07 17:54:43 +01:00
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{
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qDebug()<<"Less then 4 points. Doesn't need check for loops.";
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return points;
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}
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2016-01-09 22:53:17 +01:00
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2015-01-07 17:54:43 +01:00
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bool closed = false;
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2016-01-09 22:53:17 +01:00
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if (points.first() == points.last())
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2015-01-07 17:54:43 +01:00
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{
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closed = true;
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}
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2016-01-09 22:53:17 +01:00
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QVector<QPointF> ekvPoints;
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2015-01-07 17:54:43 +01:00
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qint32 i, j;
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2016-01-09 22:53:17 +01:00
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for (i = 0; i < count; ++i)
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2015-01-07 17:54:43 +01:00
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{
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/*Last three points no need check.*/
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2016-01-09 22:53:17 +01:00
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/*Triangle has not contain loops*/
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if (i >= count-3)
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2015-01-07 17:54:43 +01:00
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{
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ekvPoints.append(points.at(i));
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continue;
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}
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2016-01-09 22:53:17 +01:00
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2016-05-26 10:26:54 +02:00
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enum LoopIntersectType { NoIntersection, BoundedIntersection, ParallelIntersection };
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2015-01-07 17:54:43 +01:00
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QPointF crosPoint;
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2016-05-26 10:26:54 +02:00
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LoopIntersectType status = NoIntersection;
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2016-01-09 22:53:17 +01:00
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const QLineF line1(points.at(i), points.at(i+1));
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// Because a path can contains several loops we will seek the last and only then remove the loop(s)
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// That's why we parse from the end
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for (j = count-2; j >= i+2; --j)
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2015-01-07 17:54:43 +01:00
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{
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2016-01-09 22:53:17 +01:00
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const QLineF line2(points.at(j), points.at(j+1));
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2016-05-26 10:26:54 +02:00
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const QLineF::IntersectType intersect = line1.intersect(line2, &crosPoint);
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if (intersect == QLineF::NoIntersection)
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{ // According to the documentation QLineF::NoIntersection indicates that the lines do not intersect;
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// i.e. they are parallel. But parallel also mean they can be on the same line.
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// Method IsPointOnLineviaPDP will check it.
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if (VGObject::IsPointOnLineviaPDP(points.at(j), points.at(i), points.at(i+1))
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// Next cases are valid for us.
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|
|
&& line1.p2() != line2.p2()
|
|
|
|
&& line1.p1() != line2.p1()
|
|
|
|
&& line1.p2() != line2.p1()
|
|
|
|
&& line1.p1() != line2.p2())
|
|
|
|
{
|
|
|
|
// Left to catch case where segments are on the same line, but do not have real intersections.
|
|
|
|
QLineF tmpLine1 = line1;
|
|
|
|
QLineF tmpLine2 = line2;
|
|
|
|
|
|
|
|
tmpLine1.setAngle(tmpLine1.angle()+90);
|
|
|
|
|
|
|
|
QPointF tmpCrosPoint;
|
|
|
|
const QLineF::IntersectType tmpIntrs1 = tmpLine1.intersect(tmpLine2, &tmpCrosPoint);
|
|
|
|
|
|
|
|
tmpLine1 = line1;
|
|
|
|
tmpLine2.setAngle(tmpLine2.angle()+90);
|
|
|
|
|
|
|
|
const QLineF::IntersectType tmpIntrs2 = tmpLine1.intersect(tmpLine2, &tmpCrosPoint);
|
|
|
|
|
|
|
|
if (tmpIntrs1 == QLineF::BoundedIntersection || tmpIntrs2 == QLineF::BoundedIntersection)
|
|
|
|
{ // Now we really sure that lines are on the same lines and have real intersections.
|
|
|
|
status = ParallelIntersection;
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if (intersect == QLineF::BoundedIntersection && not (i == 0 && j+1 == count-1 && closed))
|
2016-01-09 22:53:17 +01:00
|
|
|
{ // Break, but not if intersects the first edge and the last edge in closed path
|
2016-01-10 20:41:46 +01:00
|
|
|
if (line1.p1() != crosPoint && line1.p2() != crosPoint &&
|
|
|
|
line2.p1() != crosPoint && line2.p2() != crosPoint)
|
2016-01-11 12:24:37 +01:00
|
|
|
{ // Break, but not if loop creates crosPoint when it is first or last point of lines
|
2016-05-26 10:26:54 +02:00
|
|
|
status = BoundedIntersection;
|
2016-01-10 20:41:46 +01:00
|
|
|
break;
|
|
|
|
}
|
2015-01-07 17:54:43 +01:00
|
|
|
}
|
2016-05-26 10:26:54 +02:00
|
|
|
status = NoIntersection;
|
2015-01-07 17:54:43 +01:00
|
|
|
}
|
2016-01-09 22:53:17 +01:00
|
|
|
|
2016-05-26 10:26:54 +02:00
|
|
|
switch (status)
|
2015-01-07 17:54:43 +01:00
|
|
|
{
|
2016-05-26 10:26:54 +02:00
|
|
|
case ParallelIntersection:
|
|
|
|
/*We have found a loop.*/
|
|
|
|
// Theoretically there is no big difference which point j or j+1 to select.
|
|
|
|
// In the end we will draw a line in any case.
|
|
|
|
ekvPoints.append(points.at(i));
|
|
|
|
ekvPoints.append(points.at(j+1));
|
|
|
|
i = j;
|
|
|
|
break;
|
|
|
|
case BoundedIntersection:
|
|
|
|
/*We have found a loop.*/
|
|
|
|
ekvPoints.append(points.at(i));
|
|
|
|
ekvPoints.append(crosPoint);
|
|
|
|
i = j;
|
|
|
|
break;
|
|
|
|
case NoIntersection:
|
|
|
|
/*We have not found loop.*/
|
|
|
|
ekvPoints.append(points.at(i));
|
|
|
|
break;
|
|
|
|
default:
|
|
|
|
break;
|
2015-01-07 17:54:43 +01:00
|
|
|
}
|
|
|
|
}
|
|
|
|
return ekvPoints;
|
|
|
|
}
|
|
|
|
|
|
|
|
//---------------------------------------------------------------------------------------------------------------------
|
|
|
|
/**
|
|
|
|
* @brief EkvPoint return vector of points of equidistant two lines. Last point of two lines must be equal.
|
|
|
|
* @param line1 first line.
|
|
|
|
* @param line2 second line.
|
|
|
|
* @param width width of equidistant.
|
|
|
|
* @return vector of points.
|
|
|
|
*/
|
|
|
|
QVector<QPointF> VAbstractDetail::EkvPoint(const QLineF &line1, const QLineF &line2, const qreal &width)
|
|
|
|
{
|
|
|
|
if (width <= 0)
|
|
|
|
{
|
|
|
|
return QVector<QPointF>();
|
|
|
|
}
|
|
|
|
QVector<QPointF> points;
|
|
|
|
if (line1.p2() != line2.p2())
|
|
|
|
{
|
|
|
|
qDebug()<<"Last points of two lines must be equal.";
|
|
|
|
return QVector<QPointF>();
|
|
|
|
}
|
|
|
|
QPointF CrosPoint;
|
|
|
|
QLineF bigLine1 = ParallelLine(line1, width );
|
|
|
|
QLineF bigLine2 = ParallelLine(QLineF(line2.p2(), line2.p1()), width );
|
|
|
|
QLineF::IntersectType type = bigLine1.intersect( bigLine2, &CrosPoint );
|
|
|
|
switch (type)
|
|
|
|
{
|
|
|
|
case (QLineF::BoundedIntersection):
|
|
|
|
points.append(CrosPoint);
|
|
|
|
return points;
|
|
|
|
break;
|
|
|
|
case (QLineF::UnboundedIntersection):
|
|
|
|
{
|
|
|
|
QLineF line( line1.p2(), CrosPoint );
|
|
|
|
const qreal length = line.length();
|
|
|
|
if (length > width*2.4)
|
2016-03-10 08:42:09 +01:00
|
|
|
{ // Cutting too long a cut angle
|
2015-01-07 17:54:43 +01:00
|
|
|
line.setLength(width); // Not sure about width value here
|
|
|
|
QLineF cutLine(line.p2(), CrosPoint); // Cut line is a perpendicular
|
|
|
|
cutLine.setLength(length); // Decided take this length
|
|
|
|
|
|
|
|
// We do not check intersection type because intersection must alwayse exist
|
|
|
|
QPointF px;
|
|
|
|
cutLine.setAngle(cutLine.angle()+90);
|
|
|
|
QLineF::IntersectType type = bigLine1.intersect( cutLine, &px );
|
|
|
|
if (type == QLineF::NoIntersection)
|
|
|
|
{
|
|
|
|
qDebug()<<"Couldn't find intersection with cut line.";
|
|
|
|
}
|
|
|
|
points.append(px);
|
|
|
|
|
|
|
|
cutLine.setAngle(cutLine.angle()-180);
|
|
|
|
type = bigLine2.intersect( cutLine, &px );
|
|
|
|
if (type == QLineF::NoIntersection)
|
|
|
|
{
|
|
|
|
qDebug()<<"Couldn't find intersection with cut line.";
|
|
|
|
}
|
|
|
|
points.append(px);
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
points.append(CrosPoint);
|
|
|
|
return points;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
case (QLineF::NoIntersection):
|
|
|
|
/*If we have correct lines this means lines lie on a line.*/
|
|
|
|
points.append(bigLine1.p2());
|
|
|
|
return points;
|
|
|
|
break;
|
|
|
|
default:
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
return points;
|
|
|
|
}
|
|
|
|
|
|
|
|
//---------------------------------------------------------------------------------------------------------------------
|
2015-11-15 19:49:16 +01:00
|
|
|
/**
|
|
|
|
* @brief UnclosedEkvPoint helps find point of an unclosed seam allowance. One side of two lines should be equal.
|
|
|
|
*
|
|
|
|
* In case of the first seam allowance point equal should be the first point of the two lines. In case the last point -
|
|
|
|
* the last point of the two lines.
|
|
|
|
*
|
|
|
|
* @param line line of a seam allowance
|
|
|
|
* @param helpLine help line of the main path that cut unclosed seam allowance
|
|
|
|
* @param width seam allowance width
|
|
|
|
* @return seam allowance point
|
|
|
|
*/
|
|
|
|
QPointF VAbstractDetail::UnclosedEkvPoint(const QLineF &line, const QLineF &helpLine, const qreal &width)
|
|
|
|
{
|
|
|
|
if (width <= 0)
|
|
|
|
{
|
|
|
|
return QPointF();
|
|
|
|
}
|
|
|
|
|
|
|
|
if (not (line.p2() == helpLine.p2() || line.p1() == helpLine.p1()))
|
|
|
|
{
|
|
|
|
qDebug()<<"Two points of two lines must be equal.";
|
|
|
|
return QPointF();
|
|
|
|
}
|
|
|
|
|
|
|
|
QPointF CrosPoint;
|
|
|
|
const QLineF bigLine = ParallelLine(line, width );
|
|
|
|
QLineF::IntersectType type = bigLine.intersect( helpLine, &CrosPoint );
|
|
|
|
switch (type)
|
|
|
|
{
|
|
|
|
case (QLineF::BoundedIntersection):
|
|
|
|
return CrosPoint;
|
|
|
|
break;
|
2016-03-10 08:42:09 +01:00
|
|
|
case (QLineF::UnboundedIntersection):
|
|
|
|
{
|
|
|
|
// This case is very tricky.
|
|
|
|
// User can create very wrong path that will create crospoint far from main path.
|
|
|
|
// Such an annomaly we try to catch and fix.
|
|
|
|
// If don't do this the program will crash.
|
|
|
|
QLineF test( line.p2(), CrosPoint );
|
|
|
|
const qreal length = test.length();
|
|
|
|
if (length > width*50) // Why 50? Try to avoid cutting correct cases.
|
|
|
|
{
|
|
|
|
test.setLength(width);
|
|
|
|
return test.p2();
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
return CrosPoint;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
}
|
2015-11-15 19:49:16 +01:00
|
|
|
case (QLineF::NoIntersection):
|
|
|
|
/*If we have correct lines this means lines lie on a line.*/
|
|
|
|
return bigLine.p2();
|
|
|
|
break;
|
|
|
|
default:
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
return QPointF();
|
|
|
|
}
|
|
|
|
|
|
|
|
//---------------------------------------------------------------------------------------------------------------------
|
2015-01-07 17:54:43 +01:00
|
|
|
/**
|
|
|
|
* @brief ParallelLine create parallel line.
|
|
|
|
* @param line starting line.
|
|
|
|
* @param width width to parallel line.
|
|
|
|
* @return parallel line.
|
|
|
|
*/
|
|
|
|
QLineF VAbstractDetail::ParallelLine(const QLineF &line, qreal width)
|
|
|
|
{
|
|
|
|
QLineF paralel = QLineF (SingleParallelPoint(line, 90, width), SingleParallelPoint(QLineF(line.p2(), line.p1()),
|
|
|
|
-90, width));
|
|
|
|
return paralel;
|
|
|
|
}
|
|
|
|
|
|
|
|
//---------------------------------------------------------------------------------------------------------------------
|
|
|
|
/**
|
|
|
|
* @brief SingleParallelPoint return point of parallel line.
|
|
|
|
* @param line starting line.
|
|
|
|
* @param angle angle in degree.
|
|
|
|
* @param width width to parallel line.
|
|
|
|
* @return point of parallel line.
|
|
|
|
*/
|
|
|
|
QPointF VAbstractDetail::SingleParallelPoint(const QLineF &line, const qreal &angle, const qreal &width)
|
|
|
|
{
|
|
|
|
QLineF pLine = line;
|
|
|
|
pLine.setAngle( pLine.angle() + angle );
|
|
|
|
pLine.setLength( width );
|
|
|
|
return pLine.p2();
|
|
|
|
}
|
2015-11-22 00:52:18 +01:00
|
|
|
|
|
|
|
//---------------------------------------------------------------------------------------------------------------------
|
2015-11-22 14:58:31 +01:00
|
|
|
qreal VAbstractDetail::SumTrapezoids(const QVector<QPointF> &points)
|
2015-11-22 00:52:18 +01:00
|
|
|
{
|
|
|
|
// Calculation a polygon area through the sum of the areas of trapezoids
|
|
|
|
qreal s, res = 0;
|
2015-11-22 14:58:31 +01:00
|
|
|
const int n = points.size();
|
2015-11-22 00:52:18 +01:00
|
|
|
|
2015-11-22 14:58:31 +01:00
|
|
|
if(n > 2)
|
2015-11-22 00:52:18 +01:00
|
|
|
{
|
2015-11-22 14:58:31 +01:00
|
|
|
for (int i = 0; i < n; ++i)
|
2015-11-22 00:52:18 +01:00
|
|
|
{
|
2015-11-22 14:58:31 +01:00
|
|
|
if (i == 0)
|
2015-11-22 00:52:18 +01:00
|
|
|
{
|
2015-11-22 14:58:31 +01:00
|
|
|
s = points.at(i).x()*(points.at(n-1).y() - points.at(i+1).y()); //if i == 0, then y[i-1] replace on y[n-1]
|
2015-11-22 00:52:18 +01:00
|
|
|
res += s;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
2015-11-22 14:58:31 +01:00
|
|
|
if (i == n-1)
|
|
|
|
{
|
|
|
|
s = points.at(i).x()*(points.at(i-1).y() - points.at(0).y()); // if i == n-1, then y[i+1] replace on y[0]
|
|
|
|
res += s;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
s = points.at(i).x()*(points.at(i-1).y() - points.at(i+1).y());
|
|
|
|
res += s;
|
|
|
|
}
|
2015-11-22 00:52:18 +01:00
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return res;
|
|
|
|
}
|