/** * \file * \brief Horizontal and Vertical Line Segment * * Copyright 2008 Marco Cecchetti * * This library is free software; you can redistribute it and/or * modify it either under the terms of the GNU Lesser General Public * License version 2.1 as published by the Free Software Foundation * (the "LGPL") or, at your option, under the terms of the Mozilla * Public License Version 1.1 (the "MPL"). If you do not alter this * notice, a recipient may use your version of this file under either * the MPL or the LGPL. * * You should have received a copy of the LGPL along with this library * in the file COPYING-LGPL-2.1; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA * You should have received a copy of the MPL along with this library * in the file COPYING-MPL-1.1 * * The contents of this file are subject to the Mozilla Public License * Version 1.1 (the "License"); you may not use this file except in * compliance with the License. You may obtain a copy of the License at * http://www.mozilla.org/MPL/ * * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY * OF ANY KIND, either express or implied. See the LGPL or the MPL for * the specific language governing rights and limitations. */ #ifndef _2GEOM_HVLINESEGMENT_H_ #define _2GEOM_HVLINESEGMENT_H_ #include <2geom/bezier-curve.h> namespace Geom { class HLineSegment : public Curve { public: HLineSegment() {} HLineSegment(Coord _x0, Coord _x1, Coord _y) : m_line_seg(Point(_x0, _y), Point(_x1, _y)) { } HLineSegment(Point const& _p, double _length) : m_line_seg(_p, Point(_p[X] + _length, _p[Y])) { } HLineSegment(Point const& _p0, Point const& _p1) : m_line_seg(_p0, _p1) { if ( _p0[Y] != _p1[Y] ) { THROW_RANGEERROR("HLineSegment::HLineSegment passed points should " "have the same Y value"); } } Curve* duplicate() const { return new HLineSegment(*this); } bool isDegenerate() const { return m_line_seg.isDegenerate(); } Point initialPoint() const { return m_line_seg.initialPoint(); } Point finalPoint() const { return m_line_seg.finalPoint(); } Coord getY() { return initialPoint()[Y]; } void setInitial(Point _p) { m_line_seg.setInitial( Point(_p[X], initialPoint()[Y]) ); } void setFinal(Point _p) { m_line_seg.setFinal( Point(_p[X], finalPoint()[Y]) ); } void setX0(Coord _x) { m_line_seg.setInitial( Point(_x, initialPoint()[Y]) ); } void setX1(Coord _x) { m_line_seg.setFinal( Point(_x, finalPoint()[Y]) ); } void setY(Coord _y) { m_line_seg.setInitial( Point(initialPoint()[X], _y) ); m_line_seg.setFinal( Point(finalPoint()[X], _y) ); } virtual OptRect boundsFast() const { return boundsExact(); } virtual OptRect boundsExact() const { return Rect( initialPoint(), finalPoint() ); } virtual OptRect boundsLocal(OptInterval i, unsigned deg) const { return m_line_seg.boundsLocal(i, deg); } int winding(Point p) const { return m_line_seg.winding(p); } int degreesOfFreedom() const { return 3;} std::vector roots(double v, Dim2 d) const { if (d < 0 || d > 1) { THROW_RANGEERROR("dimension argument out of range"); } std::vector result; if (d == X) { if ( v >= initialPoint()[X] && v <= finalPoint()[X] ) { double t = 0; if (!isDegenerate()) t = (v - initialPoint()[X]) / (finalPoint()[X] - initialPoint()[X]); result.push_back(t); } } else { if (v == initialPoint()[Y]) { if (!isDegenerate()) THROW_INFINITESOLUTIONS(0); result.push_back(0); } } return result; } double nearestPoint( Point const& p, double from = 0, double to = 1 ) const { if ( from > to ) std::swap(from, to); double xfrom = pointAt(from)[X]; double xto = pointAt(to)[X]; if ( xfrom > xto ) { std::swap(xfrom, xto); std::swap(from, to); } if ( p[X] > xfrom && p[X] < xto ) { return (p[X] - initialPoint()[X]) / (finalPoint()[X] - initialPoint()[X]); } else if ( p[X] <= xfrom ) return from; else return to; } std::pair subdivide(Coord t) const { std::pair result; Point p = pointAt(t); result.first.setInitial(initialPoint()); result.first.setFinal(p); result.second.setInitial(p); result.second.setFinal(finalPoint()); return result; } Curve* portion(double f, double t) const { Point ip = pointAt(f); Point ep = pointAt(t); return new HLineSegment(ip[X], ep[X], ip[Y]); } Curve* reverse() const { return new HLineSegment(finalPoint()[X], initialPoint()[X], initialPoint()[Y]); } Curve* transformed(Matrix const & m) const { Point ip = initialPoint() * m; Point ep = finalPoint() * m; if (m.onlyScaleAndTranslation()) { return new HLineSegment(ip[X], ep[X], ip[Y]); } else { return new LineSegment(ip, ep); } } Curve* derivative() const { double x = finalPoint()[X] - initialPoint()[X]; return new HLineSegment(x, x, 0); } Point pointAt(double t) const { if ( t < 0 || t > 1 ) THROW_RANGEERROR("domain parameter out of range"); double x = initialPoint()[X] + t * (finalPoint()[X] - initialPoint()[X]); return Point(x, initialPoint()[Y]); } double valueAt(double t, Dim2 d) const { if (d < 0 || d > 1) { THROW_RANGEERROR("dimension argument out of range"); } if ( t < 0 || t > 1 ) THROW_RANGEERROR("domain parameter out of range"); if (d == Y) return initialPoint()[Y]; return initialPoint()[X] + t * (finalPoint()[X] - initialPoint()[X]); } std::vector pointAndDerivatives(Coord t, unsigned n) const { std::vector result; result.push_back(pointAt(t)); if (n > 0) { double x = finalPoint()[X] - initialPoint()[X]; result.push_back( Point(x, 0) ); } if (n > 1) { /* higher order derivatives are zero, * so the other n-1 vector elements are (0,0) */ result.insert( result.end(), n-1, Point(0, 0) ); } return result; } D2 toSBasis() const { return m_line_seg.toSBasis(); } private: LineSegment m_line_seg; }; // end class HLineSegment class VLineSegment : public Curve { public: VLineSegment() {} VLineSegment(Coord _x, Coord _y0, Coord _y1) : m_line_seg(Point(_x, _y0), Point(_x, _y1)) { } VLineSegment(Point const& _p, double _length) : m_line_seg(_p, Point(_p[X], _p[Y] + _length)) { } VLineSegment(Point const& _p0, Point const& _p1) : m_line_seg(_p0, _p1) { if ( _p0[X] != _p1[X] ) { THROW_RANGEERROR("VLineSegment::VLineSegment passed points should " "have the same X value"); } } Curve* duplicate() const { return new VLineSegment(*this); } bool isDegenerate() const { return m_line_seg.isDegenerate(); } Point initialPoint() const { return m_line_seg.initialPoint(); } Point finalPoint() const { return m_line_seg.finalPoint(); } Coord getX() { return initialPoint()[X]; } void setInitial(Point _p) { m_line_seg.setInitial( Point(initialPoint()[X], _p[Y]) ); } void setFinal(Point _p) { m_line_seg.setFinal( Point(finalPoint()[X], _p[Y]) ); } void setY0(Coord _y) { m_line_seg.setInitial( Point(initialPoint()[X], _y) ); } void setY1(Coord _y) { m_line_seg.setFinal( Point(finalPoint()[Y], _y) ); } void setX(Coord _x) { m_line_seg.setInitial( Point(_x, initialPoint()[Y]) ); m_line_seg.setFinal( Point(_x, finalPoint()[Y]) ); } virtual OptRect boundsFast() const { return boundsExact(); } virtual OptRect boundsExact() const { return Rect( initialPoint(), finalPoint() ); } virtual OptRect boundsLocal(OptInterval i, unsigned deg) const { return m_line_seg.boundsLocal(i, deg); } int winding(Point p) const { return m_line_seg.winding(p); } int degreesOfFreedom() const { return 3;} std::vector roots(double v, Dim2 d) const { if (d < 0 || d > 1) { THROW_RANGEERROR("dimension argument out of range"); } std::vector result; if (d == Y) { if ( v >= initialPoint()[Y] && v <= finalPoint()[Y] ) { double t = 0; if (!isDegenerate()) t = (v - initialPoint()[Y]) / (finalPoint()[Y] - initialPoint()[Y]); result.push_back(t); } } else { if (v == initialPoint()[X]) { if (!isDegenerate()) THROW_INFINITESOLUTIONS(0); result.push_back(0); } } return result; } double nearestPoint( Point const& p, double from = 0, double to = 1 ) const { if ( from > to ) std::swap(from, to); double yfrom = pointAt(from)[Y]; double yto = pointAt(to)[Y]; if (yfrom > yto) { std::swap(yfrom, yto); std::swap(from, to); } if ( p[Y] > yfrom && p[Y] < yto ) { return (p[Y] - initialPoint()[Y]) / (finalPoint()[Y] - initialPoint()[Y]); } else if ( p[Y] <= yfrom ) return from; else return to; } std::pair subdivide(Coord t) const { std::pair result; Point p = pointAt(t); result.first.setInitial(initialPoint()); result.first.setFinal(p); result.second.setInitial(p); result.second.setFinal(finalPoint()); return result; } Curve* portion(double f, double t) const { Point ip = pointAt(f); Point ep = pointAt(t); return new VLineSegment(ip[X], ip[Y], ep[Y]); } Curve* reverse() const { return new VLineSegment(initialPoint()[X], finalPoint()[Y], initialPoint()[Y]); } Curve* transformed(Matrix const & m) const { Point ip = initialPoint() * m; Point ep = finalPoint() * m; if (m.onlyScaleAndTranslation()) { return new VLineSegment(ip[X], ip[Y], ep[Y]); } else { return new LineSegment(ip, ep); } } Curve* derivative() const { double y = finalPoint()[Y] - initialPoint()[Y]; return new VLineSegment(0, y, y); } Point pointAt(double t) const { if ( t < 0 || t > 1 ) THROW_RANGEERROR("domain parameter out of range"); double y = initialPoint()[Y] + t * (finalPoint()[Y] - initialPoint()[Y]); return Point(initialPoint()[X], y); } double valueAt(double t, Dim2 d) const { if (d < 0 || d > 1) { THROW_RANGEERROR("dimension argument out of range"); } if ( t < 0 || t > 1 ) THROW_RANGEERROR("domain parameter out of range"); if (d == X) return initialPoint()[X]; return initialPoint()[Y] + t * (finalPoint()[Y] - initialPoint()[Y]); } std::vector pointAndDerivatives(Coord t, unsigned n) const { std::vector result; result.push_back(pointAt(t)); if (n > 0) { double y = finalPoint()[Y] - initialPoint()[Y]; result.push_back( Point(0, y) ); } if (n > 1) { /* higher order derivatives are zero, * so the other n-1 vector elements are (0,0) */ result.insert( result.end(), n-1, Point(0, 0) ); } return result; } D2 toSBasis() const { return m_line_seg.toSBasis(); } private: LineSegment m_line_seg; }; // end class VLineSegment } // end namespace Geom #endif // _2GEOM_HVLINESEGMENT_H_ /* Local Variables: mode:c++ c-file-style:"stroustrup" c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +)) indent-tabs-mode:nil fill-column:99 End: */ // vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:encoding=utf-8:textwidth=99 :