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+/** @file
+ * @brief Circle shape
+ *//*
+ * Authors:
+ * Marco Cecchetti <mrcekets at gmail.com>
+ * Krzysztof KosiƄski <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 &center, 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 :