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-rw-r--r-- | src/2geom/circle.h | 165 |
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diff --git a/src/2geom/circle.h b/src/2geom/circle.h new file mode 100644 index 0000000..a4d5f20 --- /dev/null +++ b/src/2geom/circle.h @@ -0,0 +1,165 @@ +/** @file + * @brief Circle shape + *//* + * Authors: + * Marco Cecchetti <mrcekets at gmail.com> + * Krzysztof KosiĆski <tweenk.pl@gmail.com> + * + * Copyright 2008-2014 Authors + * + * 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 LIB2GEOM_SEEN_CIRCLE_H +#define LIB2GEOM_SEEN_CIRCLE_H + +#include <2geom/forward.h> +#include <2geom/intersection.h> +#include <2geom/point.h> +#include <2geom/rect.h> +#include <2geom/transforms.h> + +namespace Geom { + +class EllipticalArc; + +/** @brief Set of all points at a fixed distance from the center + * @ingroup Shapes */ +class Circle + : boost::equality_comparable1< Circle + , MultipliableNoncommutative< Circle, Translate + , MultipliableNoncommutative< Circle, Rotate + , MultipliableNoncommutative< Circle, Zoom + > > > > +{ + Point _center; + Coord _radius; + +public: + Circle() {} + Circle(Coord cx, Coord cy, Coord r) + : _center(cx, cy), _radius(r) + {} + Circle(Point const ¢er, Coord r) + : _center(center), _radius(r) + {} + + Circle(Coord A, Coord B, Coord C, Coord D) { + setCoefficients(A, B, C, D); + } + + // Construct the unique circle passing through three points. + //Circle(Point const &a, Point const &b, Point const &c); + + Point center() const { return _center; } + Coord center(Dim2 d) const { return _center[d]; } + Coord radius() const { return _radius; } + Coord area() const { return M_PI * _radius * _radius; } + bool isDegenerate() const { return _radius == 0; } + + void setCenter(Point const &p) { _center = p; } + void setRadius(Coord c) { _radius = c; } + + Rect boundsFast() const; + Rect boundsExact() const { return boundsFast(); } + + Point initialPoint() const; + Point finalPoint() const { return initialPoint(); } + Point pointAt(Coord t) const; + Coord valueAt(Coord t, Dim2 d) const; + Coord timeAt(Point const &p) const; + Coord nearestTime(Point const &p) const; + + bool contains(Point const &p) const { return distance(p, _center) <= _radius; } + bool contains(Rect const &other) const; + bool contains(Circle const &other) const; + + bool intersects(Line const &l) const; + bool intersects(LineSegment const &l) const; + bool intersects(Circle const &other) const; + + std::vector<ShapeIntersection> intersect(Line const &other) const; + std::vector<ShapeIntersection> intersect(LineSegment const &other) const; + std::vector<ShapeIntersection> intersect(Circle const &other) const; + + // build a circle by its implicit equation: + // Ax^2 + Ay^2 + Bx + Cy + D = 0 + void setCoefficients(Coord A, Coord B, Coord C, Coord D); + void coefficients(Coord &A, Coord &B, Coord &C, Coord &D) const; + std::vector<Coord> coefficients() const; + + Zoom unitCircleTransform() const; + Zoom inverseUnitCircleTransform() const; + + EllipticalArc * + arc(Point const& initial, Point const& inner, Point const& final) const; + + D2<SBasis> toSBasis() const; + + Circle &operator*=(Translate const &t) { + _center *= t; + return *this; + } + Circle &operator*=(Rotate const &) { + return *this; + } + Circle &operator*=(Zoom const &z) { + _center *= z; + _radius *= z.scale(); + return *this; + } + + bool operator==(Circle const &other) const; + + /** @brief Fit the circle to the passed points using the least squares method. + * @param points Samples at the perimeter of the circle */ + void fit(std::vector<Point> const &points); +}; + +bool are_near(Circle const &a, Circle const &b, Coord eps=EPSILON); + +std::ostream &operator<<(std::ostream &out, Circle const &c); + +template <> +struct ShapeTraits<Circle> { + typedef Coord TimeType; + typedef Interval IntervalType; + typedef Ellipse AffineClosureType; + typedef Intersection<> IntersectionType; +}; + +} // end namespace Geom + +#endif // LIB2GEOM_SEEN_CIRCLE_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:fileencoding=utf-8:textwidth=99 : |