944 lines
33 KiB
C++
944 lines
33 KiB
C++
/************************************************************************
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**
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** @file vellipticalarc.cpp
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** @author Valentina Zhuravska <zhuravska19(at)gmail.com>
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** @date February 1, 2016
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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 Valentina project, a pattern making
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** program, whose allow create and modeling patterns of clothing.
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** Copyright (C) 2013-2015 Valentina project
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** <https://gitlab.com/smart-pattern/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 "vellipticalarc.h"
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#include <QLineF>
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#include <QPoint>
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#include <QPainterPath>
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#include <QtDebug>
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#include "../vmisc/def.h"
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#include "../ifc/ifcdef.h"
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#include "../ifc/exception/vexception.h"
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#include "../vmisc/vabstractapplication.h"
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#include "../vmisc/fpm/fixed.hpp"
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#include "../vmisc/fpm/math.hpp"
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#include "../vmisc/compatibility.h"
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#include "vabstractcurve.h"
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#include "vellipticalarc_p.h"
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#include "../vmisc/vmath.h"
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namespace
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{
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constexpr qreal tolerance = accuracyPointOnLine/8;
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// Because of overflow we cannot generate arcs more than maxRadius
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constexpr int maxRadius = 10000;
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//---------------------------------------------------------------------------------------------------------------------
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auto VLen(fpm::fixed_16_16 x, fpm::fixed_16_16 y) -> fpm::fixed_16_16
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{
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x = fpm::abs(x);
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y = fpm::abs(y);
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if (x > y)
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{
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return x + qMax(y/8, y/2 - x/8);
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}
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return y + qMax(x/8, x/2 - y/8);
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}
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//---------------------------------------------------------------------------------------------------------------------
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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
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{
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fpm::fixed_16_16 dP = VLen(xP, yP);
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fpm::fixed_16_16 dQ = VLen(xQ, yQ);
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fpm::fixed_16_16 dJ = VLen(xP + xQ, yP + yQ);
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fpm::fixed_16_16 dK = VLen(xP - xQ, yP - yQ);
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fpm::fixed_16_16 r1 = qMax(dP, dQ);
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fpm::fixed_16_16 r2 = qMax(dJ, dK);
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return qMax(r1 + r1/16, r2 - r2/4);
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}
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//---------------------------------------------------------------------------------------------------------------------
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auto AngularInc(fpm::fixed_16_16 xP, fpm::fixed_16_16 yP, fpm::fixed_16_16 xQ, fpm::fixed_16_16 yQ,
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fpm::fixed_16_16 flatness) -> int
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{
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fpm::fixed_16_16 r = AuxRadius(xP, yP, xQ, yQ);
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fpm::fixed_16_16 err2{r >> 3};
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// 2nd-order term
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fpm::fixed_16_16 err4{r >> 7};
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// 4th-order term
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const int kmax = qRound(0.5 * std::log2(maxSceneSize / (8. * tolerance)));
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for (int k = 0; k < kmax; ++k)
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{
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if (flatness >= err2 + err4)
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{
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return k;
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}
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err2 >>= 2;
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err4 >>= 4;
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}
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return kmax;
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}
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//---------------------------------------------------------------------------------------------------------------------
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inline void CircleGen(fpm::fixed_16_16& u, fpm::fixed_16_16& v, uint k)
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{
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u -= v >> k;
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v += u >> k;
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}
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//---------------------------------------------------------------------------------------------------------------------
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auto InitialValue(fpm::fixed_16_16 u0, fpm::fixed_16_16 v0, uint k) -> fpm::fixed_16_16
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{
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uint shift = 2*k + 3;
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fpm::fixed_16_16 w {u0 >> shift};
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fpm::fixed_16_16 U0 = u0 - w + (v0 >> (k + 1));
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w >>= (shift + 1);
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U0 -= w;
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w >>= shift;
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U0 -= w;
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return U0;
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}
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//---------------------------------------------------------------------------------------------------------------------
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auto EllipseCore(fpm::fixed_16_16 xC, fpm::fixed_16_16 yC, fpm::fixed_16_16 xP, fpm::fixed_16_16 yP,
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fpm::fixed_16_16 xQ, fpm::fixed_16_16 yQ, fpm::fixed_16_16 sweep,
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fpm::fixed_16_16 flatness) -> QVector<QPointF>
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{
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uint k = qMin(static_cast<uint>(AngularInc(xP, yP, xQ, yQ, flatness)), 16U);
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const uint count = static_cast<std::uint32_t>(sweep.raw_value()) >> (16 - k);
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QVector<QPointF> arc;
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arc.reserve(static_cast<int>(count) + 1);
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// Arc start point
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arc.append({static_cast<qreal>(xP + xC), static_cast<qreal>(yP + yC)});
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xQ = InitialValue(xQ, xP, k);
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yQ = InitialValue(yQ, yP, k);
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for (uint i = 0; i < count; ++i)
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{
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CircleGen(xQ, xP, k);
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CircleGen(yQ, yP, k);
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arc.append({static_cast<qreal>(xP + xC), static_cast<qreal>(yP + yC)});
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}
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return arc;
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}
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//---------------------------------------------------------------------------------------------------------------------
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auto EllipticArcPoints(QPointF c, qreal radius1, qreal radius2, qreal astart, qreal asweep,
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qreal approximationScale) -> QVector<QPointF>
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{
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fpm::fixed_16_16 xC{c.x()};
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fpm::fixed_16_16 yC{c.y()};
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fpm::fixed_16_16 xP{c.x() + radius1};
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fpm::fixed_16_16 yP{c.y()};
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fpm::fixed_16_16 xQ{c.x()};
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fpm::fixed_16_16 yQ{c.y() - radius2};
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xP -= xC;
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yP -= yC;
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xQ -= xC;
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yQ -= yC;
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if (not qFuzzyIsNull(astart))
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{
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// Set new conjugate diameter end points P’ and Q’
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fpm::fixed_16_16 cosa {cos(astart)};
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fpm::fixed_16_16 sina {sin(astart)};
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fpm::fixed_16_16 x {xP * cosa + xQ * sina};
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fpm::fixed_16_16 y {yP * cosa + yQ * sina};
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xQ = xQ * cosa - xP * sina;
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yQ = yQ * cosa - yP * sina;
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xP = x;
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yP = y;
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}
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// If sweep angle is negative, switch direction
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if (asweep < 0)
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{
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xQ = -xQ;
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yQ = -yQ;
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asweep = -asweep;
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}
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if(approximationScale < minCurveApproximationScale || approximationScale > maxCurveApproximationScale)
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{
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approximationScale = VAbstractApplication::VApp()->Settings()->GetCurveApproximationScale();
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}
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fpm::fixed_16_16 flatness {maxCurveApproximationScale / approximationScale * tolerance};
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fpm::fixed_16_16 swangle{asweep};
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QVector<QPointF> arc = EllipseCore(xC, yC, xP, yP, xQ, yQ, swangle, flatness);
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// Arc end point
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fpm::fixed_16_16 cosb {qCos(asweep)};
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fpm::fixed_16_16 sinb {qSin(asweep)};
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xP = xP*cosb + xQ*sinb;
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yP = yP*cosb + yQ*sinb;
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arc.append({static_cast<qreal>(xP+xC), static_cast<qreal>(yP+yC)});
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return arc;
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}
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//---------------------------------------------------------------------------------------------------------------------
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auto JoinVectors(const QVector<QPointF> &v1, const QVector<QPointF> &v2) -> QVector<QPointF>
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{
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QVector<QPointF> v;
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v.reserve(v1.size() + v2.size());
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v = v1;
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constexpr qreal accuracy = (0.0001/*mm*/ / 25.4) * PrintDPI;
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for (auto p : v2)
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{
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if (not VFuzzyComparePoints(ConstLast(v), p, accuracy))
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{
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v.append(p);
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}
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}
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return v;
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}
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} // namespace
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief VEllipticalArc default constructor.
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*/
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VEllipticalArc::VEllipticalArc()
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: VAbstractArc(GOType::EllipticalArc), d (new VEllipticalArcData)
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{}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief VEllipticalArc constructor.
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* @param center center point.
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* @param radius1 arc major radius.
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* @param radius2 arc minor radius.
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* @param f1 start angle (degree).
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* @param f2 end angle (degree).
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*/
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VEllipticalArc::VEllipticalArc (const VPointF ¢er, qreal radius1, qreal radius2, const QString &formulaRadius1,
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const QString &formulaRadius2, qreal f1, const QString &formulaF1, qreal f2,
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const QString &formulaF2, qreal rotationAngle, const QString &formulaRotationAngle,
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quint32 idObject, Draw mode)
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: VAbstractArc(GOType::EllipticalArc, center, f1, formulaF1, f2, formulaF2, idObject, mode),
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d (new VEllipticalArcData(radius1, radius2, formulaRadius1, formulaRadius2, rotationAngle, formulaRotationAngle))
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{
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CreateName();
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}
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//---------------------------------------------------------------------------------------------------------------------
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VEllipticalArc::VEllipticalArc(const VPointF ¢er, qreal radius1, qreal radius2, qreal f1, qreal f2,
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qreal rotationAngle)
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: VAbstractArc(GOType::EllipticalArc, center, f1, f2, NULL_ID, Draw::Calculation),
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d (new VEllipticalArcData(radius1, radius2, rotationAngle))
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{
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CreateName();
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}
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//---------------------------------------------------------------------------------------------------------------------
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VEllipticalArc::VEllipticalArc(qreal length, const QString &formulaLength, const VPointF ¢er, qreal radius1,
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qreal radius2, const QString &formulaRadius1, const QString &formulaRadius2, qreal f1,
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const QString &formulaF1, qreal rotationAngle, const QString &formulaRotationAngle,
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quint32 idObject, Draw mode)
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: VAbstractArc(GOType::EllipticalArc, formulaLength, center, f1, formulaF1, idObject, mode),
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d (new VEllipticalArcData(radius1, radius2, formulaRadius1, formulaRadius2, rotationAngle, formulaRotationAngle))
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{
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CreateName();
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FindF2(length);
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}
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//---------------------------------------------------------------------------------------------------------------------
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VEllipticalArc::VEllipticalArc(qreal length, const VPointF ¢er, qreal radius1, qreal radius2, qreal f1,
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qreal rotationAngle)
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: VAbstractArc(GOType::EllipticalArc, center, f1, NULL_ID, Draw::Calculation),
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d (new VEllipticalArcData(radius1, radius2, rotationAngle))
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{
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CreateName();
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FindF2(length);
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}
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//---------------------------------------------------------------------------------------------------------------------
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/**
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* @brief VEllipticalArc copy constructor
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* @param arc arc
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*/
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VEllipticalArc::VEllipticalArc(const VEllipticalArc &arc)
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: VAbstractArc(arc), d (arc.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 arc arc
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* @return arc
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*/
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auto VEllipticalArc::operator =(const VEllipticalArc &arc) -> VEllipticalArc &
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{
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if ( &arc == this )
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{
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return *this;
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}
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VAbstractArc::operator=(arc);
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d = arc.d;
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return *this;
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}
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#ifdef Q_COMPILER_RVALUE_REFS
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//---------------------------------------------------------------------------------------------------------------------
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VEllipticalArc::VEllipticalArc(VEllipticalArc &&arc) Q_DECL_NOTHROW
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: VAbstractArc(std::move(arc)),
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d(std::move(arc.d))
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{}
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//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::operator=(VEllipticalArc &&arc) Q_DECL_NOTHROW -> VEllipticalArc &
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{
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VAbstractArc::operator=(arc);
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std::swap(d, arc.d);
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return *this;
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}
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#endif
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//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::Rotate(QPointF originPoint, qreal degrees, const QString &prefix) const -> VEllipticalArc
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{
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originPoint = d->m_transform.inverted().map(originPoint);
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QTransform t = d->m_transform;
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t.translate(originPoint.x(), originPoint.y());
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t.rotate(IsFlipped() ? degrees : -degrees);
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t.translate(-originPoint.x(), -originPoint.y());
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VEllipticalArc elArc(VAbstractArc::GetCenter(), GetRadius1(), GetRadius2(), VAbstractArc::GetStartAngle(),
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VAbstractArc::GetEndAngle(), GetRotationAngle());
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elArc.setName(name() + prefix);
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if (not GetAliasSuffix().isEmpty())
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{
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elArc.SetAliasSuffix(GetAliasSuffix() + prefix);
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}
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elArc.SetColor(GetColor());
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elArc.SetPenStyle(GetPenStyle());
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elArc.SetFlipped(IsFlipped());
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elArc.SetTransform(t);
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elArc.SetApproximationScale(GetApproximationScale());
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return elArc;
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}
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//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::Flip(const QLineF &axis, const QString &prefix) const -> VEllipticalArc
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{
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VEllipticalArc elArc(VAbstractArc::GetCenter(), GetRadius1(), GetRadius2(), VAbstractArc::GetStartAngle(),
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VAbstractArc::GetEndAngle(), GetRotationAngle());
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elArc.setName(name() + prefix);
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if (not GetAliasSuffix().isEmpty())
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{
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elArc.SetAliasSuffix(GetAliasSuffix() + prefix);
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}
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elArc.SetColor(GetColor());
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elArc.SetPenStyle(GetPenStyle());
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elArc.SetFlipped(not IsFlipped());
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elArc.SetTransform(d->m_transform * VGObject::FlippingMatrix(d->m_transform.inverted().map(axis)));
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elArc.SetApproximationScale(GetApproximationScale());
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return elArc;
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}
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//---------------------------------------------------------------------------------------------------------------------
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auto VEllipticalArc::Move(qreal length, qreal angle, const QString &prefix) const -> VEllipticalArc
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{
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const VPointF oldCenter = VAbstractArc::GetCenter();
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const VPointF center = oldCenter.Move(length, angle);
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const QPointF position = d->m_transform.inverted().map(center.toQPointF()) -
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d->m_transform.inverted().map(oldCenter.toQPointF());
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QTransform t = d->m_transform;
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t.translate(position.x(), position.y());
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VEllipticalArc elArc(oldCenter, GetRadius1(), GetRadius2(), VAbstractArc::GetStartAngle(),
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VAbstractArc::GetEndAngle(), GetRotationAngle());
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elArc.setName(name() + prefix);
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if (not GetAliasSuffix().isEmpty())
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{
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elArc.SetAliasSuffix(GetAliasSuffix() + prefix);
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}
|
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|
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elArc.SetColor(GetColor());
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elArc.SetPenStyle(GetPenStyle());
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elArc.SetFlipped(IsFlipped());
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elArc.SetTransform(t);
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elArc.SetApproximationScale(GetApproximationScale());
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return elArc;
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}
|
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|
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//---------------------------------------------------------------------------------------------------------------------
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VEllipticalArc::~VEllipticalArc() // NOLINT(hicpp-use-equals-default, modernize-use-equals-default)
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{}
|
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|
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//---------------------------------------------------------------------------------------------------------------------
|
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/**
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* @brief GetLength return arc length.
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* @return length.
|
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*/
|
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auto VEllipticalArc::GetLength() const -> qreal
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{
|
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qreal length = PathLength(GetPoints());
|
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|
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if (IsFlipped())
|
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{
|
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length = length * -1;
|
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}
|
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|
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return length;
|
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}
|
||
|
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//---------------------------------------------------------------------------------------------------------------------
|
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/**
|
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* @brief GetP1 return point associated with start angle.
|
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* @return point.
|
||
*/
|
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auto VEllipticalArc::GetP1() const -> QPointF
|
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{
|
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return GetTransform().map(GetP(VAbstractArc::GetStartAngle()));
|
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}
|
||
|
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//---------------------------------------------------------------------------------------------------------------------
|
||
/**
|
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* @brief GetP2 return point associated with end angle.
|
||
* @return point.
|
||
*/
|
||
auto VEllipticalArc::GetP2 () const -> QPointF
|
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{
|
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return GetTransform().map(GetP(VAbstractArc::GetEndAngle()));
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
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;
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
auto VEllipticalArc::GetCenter() const -> VPointF
|
||
{
|
||
VPointF center = VAbstractArc::GetCenter();
|
||
const QPointF p = d->m_transform.map(center.toQPointF());
|
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center.setX(p.x());
|
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center.setY(p.y());
|
||
return center;
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
/**
|
||
* @brief GetPoints return list of points needed for drawing arc.
|
||
* @return list of points
|
||
*/
|
||
auto VEllipticalArc::GetPoints() const -> QVector<QPointF>
|
||
{
|
||
const QPointF center = VAbstractArc::GetCenter().toQPointF();
|
||
|
||
// Don't work with 0 radius. Always make it bigger than 0.
|
||
constexpr qreal threshold = ToPixel(0.001, Unit::Mm);
|
||
qreal radius1 = qMax(d->radius1, threshold);
|
||
qreal radius2 = qMax(d->radius2, threshold);
|
||
qreal max = qMax(d->radius1, d->radius2);
|
||
qreal scale = 1;
|
||
|
||
if (max > maxRadius)
|
||
{
|
||
scale = max / maxRadius;
|
||
radius1 /= scale;
|
||
radius2 /= scale;
|
||
}
|
||
|
||
// Generate complete ellipse because angles are not correct and have to be fixed manually
|
||
QVector<QPointF> points = EllipticArcPoints(center, radius1, radius2, 0.0, M_2PI, GetApproximationScale());
|
||
points = ArcPoints(points);
|
||
|
||
QTransform t = d->m_transform;
|
||
t.translate(center.x(), center.y());
|
||
if (not VFuzzyComparePossibleNulls(scale, 1))
|
||
{
|
||
// Because fixed 16.16 type has limitations it is very easy to get overflow error.
|
||
// To avoid this we calculate an arc for scaled radiuses and then scale up to original size.
|
||
t.scale(scale, scale);
|
||
}
|
||
t.rotate(-GetRotationAngle());
|
||
t.translate(-center.x(), -center.y());
|
||
|
||
std::transform(points.begin(), points.end(), points.begin(), [t](const QPointF &point) { return t.map(point); });
|
||
|
||
return points;
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
auto VEllipticalArc::GetStartAngle() const -> qreal
|
||
{
|
||
return QLineF(GetCenter().toQPointF(), GetP1()).angle() - GetRotationAngle();
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
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
|
||
*/
|
||
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) :
|
||
qWarning() << VAbstractApplication::warningMessageSignature + errorMsg;
|
||
|
||
return {};
|
||
}
|
||
|
||
const qreal maxLength = fullLength - minLength;
|
||
|
||
if (length < minLength)
|
||
{
|
||
len = minLength;
|
||
|
||
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.")
|
||
.arg(name());
|
||
}
|
||
VAbstractApplication::VApp()->IsPedantic() ? throw VException(errorMsg) :
|
||
qWarning() << VAbstractApplication::warningMessageSignature + errorMsg;
|
||
}
|
||
else if (length > maxLength)
|
||
{
|
||
len = maxLength;
|
||
|
||
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.")
|
||
.arg(name(), pointName);
|
||
}
|
||
else
|
||
{
|
||
errorMsg = QObject::tr("Curve '%1'. Length of a cut segment is too big. Optimize it to maximal value.")
|
||
.arg(name());
|
||
}
|
||
VAbstractApplication::VApp()->IsPedantic() ? throw VException(errorMsg) :
|
||
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,
|
||
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();
|
||
}
|
||
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
auto VEllipticalArc::CutArc(const qreal &length, const QString &pointName) const -> QPointF
|
||
{
|
||
VEllipticalArc arc1;
|
||
VEllipticalArc arc2;
|
||
return this->CutArc(length, arc1, arc2, pointName);
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
void VEllipticalArc::CreateName()
|
||
{
|
||
QString name = ELARC_ + QStringLiteral("%1").arg(this->GetCenter().name());
|
||
const QString nameStr = QStringLiteral("_%1");
|
||
|
||
if (getMode() == Draw::Modeling && getIdObject() != NULL_ID)
|
||
{
|
||
name += nameStr.arg(getIdObject());
|
||
}
|
||
else if (VAbstractCurve::id() != NULL_ID)
|
||
{
|
||
name += nameStr.arg(VAbstractCurve::id());
|
||
}
|
||
|
||
if (GetDuplicate() > 0)
|
||
{
|
||
name += nameStr.arg(GetDuplicate());
|
||
}
|
||
|
||
setName(name);
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
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();
|
||
}
|
||
SetFormulaLength(QString::number(VAbstractValApplication::VApp()->fromPixel(lenBez)));
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
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)));
|
||
return ellipseLength;
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
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();
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
auto VEllipticalArc::ArcPoints(QVector<QPointF> points) const -> QVector<QPointF>
|
||
{
|
||
if (points.size() < 2 || (qFuzzyIsNull(d->radius1) && qFuzzyIsNull(d->radius2)))
|
||
{
|
||
return points;
|
||
}
|
||
|
||
QPointF center = VAbstractArc::GetCenter().toQPointF();
|
||
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());
|
||
|
||
auto IsBoundedIntersection = [](QLineF::IntersectType type, QPointF p, const QLineF &segment1,
|
||
const QLineF &segment2)
|
||
{
|
||
return type == QLineF::BoundedIntersection ||
|
||
(type == QLineF::UnboundedIntersection &&
|
||
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 = JoinVectors({p}, tail);
|
||
points = JoinVectors(tail, head);
|
||
points = JoinVectors(points, {p});
|
||
|
||
if (VFuzzyComparePossibleNulls(start.angle(), end.angle()))
|
||
{
|
||
return points;
|
||
}
|
||
|
||
begin = false;
|
||
break;
|
||
}
|
||
}
|
||
}
|
||
|
||
QVector<QPointF> arc;
|
||
arc.reserve(points.size());
|
||
|
||
for (int i=0; i < points.size()-1; ++i)
|
||
{
|
||
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));
|
||
}
|
||
}
|
||
|
||
if (arc.isEmpty())
|
||
{
|
||
return points;
|
||
}
|
||
|
||
return arc;
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
/**
|
||
* @brief GetFormulaRadius1 return formula for major radius.
|
||
* @return radius.
|
||
*/
|
||
auto VEllipticalArc::GetFormulaRadius1() const -> QString
|
||
{
|
||
return d->formulaRadius1;
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
/**
|
||
* @brief GetFormulaRadius2 return formula for minor radius.
|
||
* @return radius.
|
||
*/
|
||
auto VEllipticalArc::GetFormulaRadius2() const -> QString
|
||
{
|
||
return d->formulaRadius2;
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
/**
|
||
* @brief GetFormulaRotationAngle return formula for rotation angle.
|
||
* @return rotationAngle.
|
||
*/
|
||
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.
|
||
*/
|
||
auto VEllipticalArc::GetRadius1() const -> qreal
|
||
{
|
||
return d->radius1;
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
/**
|
||
* @brief GetRadius2 return elliptical arc minor radius.
|
||
* @return string with formula.
|
||
*/
|
||
auto VEllipticalArc::GetRadius2() const -> qreal
|
||
{
|
||
return d->radius2;
|
||
}
|
||
|
||
//---------------------------------------------------------------------------------------------------------------------
|
||
/**
|
||
* @brief GetRotationAngle return rotation angle.
|
||
* @return rotationAngle.
|
||
*/
|
||
auto VEllipticalArc::GetRotationAngle() const -> qreal
|
||
{
|
||
return d->rotationAngle;
|
||
}
|