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+/** @file
+ * @brief PathVector - a sequence of subpaths
+ *//*
+ * Authors:
+ *   Johan Engelen <j.b.c.engelen@alumnus.utwente.nl>
+ *   Krzysztof Kosiński <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_PATHVECTOR_H
+#define LIB2GEOM_SEEN_PATHVECTOR_H
+
+#include <optional>
+#include <boost/concept/requires.hpp>
+#include <boost/range/algorithm/equal.hpp>
+#include <2geom/forward.h>
+#include <2geom/path.h>
+#include <2geom/transforms.h>
+
+namespace Geom {
+
+/** @brief Generalized time value in the path vector.
+ *
+ * This class exists because mapping the range of multiple curves onto the same interval
+ * as the curve index, we lose some precision. For instance, a path with 16 curves will
+ * have 4 bits less precision than a path with 1 curve. If you need high precision results
+ * in long paths, use this class and related methods instead of the standard methods
+ * pointAt(), nearestTime() and so on.
+ * 
+ * @ingroup Paths */
+struct PathVectorTime
+    : public PathTime
+    , boost::totally_ordered<PathVectorTime>
+{
+    size_type path_index; ///< Index of the path in the vector
+
+    PathVectorTime() : PathTime(0, 0), path_index(0) {}
+    PathVectorTime(size_type _i, size_type _c, Coord _t)
+        : PathTime(_c, _t), path_index(_i) {}
+    PathVectorTime(size_type _i, PathTime const &pos)
+        : PathTime(pos), path_index(_i) {}
+
+    bool operator<(PathVectorTime const &other) const {
+        if (path_index < other.path_index) return true;
+        if (path_index == other.path_index) {
+            return static_cast<PathTime const &>(*this) < static_cast<PathTime const &>(other);
+        }
+        return false;
+    }
+    bool operator==(PathVectorTime const &other) const {
+        return path_index == other.path_index
+            && static_cast<PathTime const &>(*this) == static_cast<PathTime const &>(other);
+    }
+
+    PathTime const &asPathTime() const {
+        return *static_cast<PathTime const *>(this);
+    }
+};
+
+inline std::ostream &operator<<(std::ostream &os, PathVectorTime const &pvt) {
+    os << pvt.path_index << ": " << pvt.asPathTime();
+    return os;
+}
+
+typedef Intersection<PathVectorTime> PathVectorIntersection;
+typedef PathVectorIntersection PVIntersection; ///< Alias to save typing
+
+template <>
+struct ShapeTraits<PathVector> {
+    typedef PathVectorTime TimeType;
+    //typedef PathVectorInterval IntervalType;
+    typedef PathVector AffineClosureType;
+    typedef PathVectorIntersection IntersectionType;
+};
+
+/** @brief Sequence of subpaths.
+ *
+ * This class corresponds to the SVG notion of a path:
+ * a sequence of any number of open or closed contiguous subpaths.
+ * Unlike Path, this class is closed under boolean operations.
+ *
+ * If you want to represent an arbitrary shape, this is the best class to use.
+ * Shapes with a boundary that is composed of only a single contiguous
+ * component can be represented with Path instead.
+ *
+ * @ingroup Paths
+ */
+class PathVector
+    : MultipliableNoncommutative< PathVector, Affine
+    , MultipliableNoncommutative< PathVector, Translate
+    , MultipliableNoncommutative< PathVector, Scale
+    , MultipliableNoncommutative< PathVector, Rotate
+    , MultipliableNoncommutative< PathVector, HShear
+    , MultipliableNoncommutative< PathVector, VShear
+    , MultipliableNoncommutative< PathVector, Zoom
+    , boost::equality_comparable< PathVector
+      > > > > > > > >
+{
+    typedef std::vector<Path> Sequence;
+public:
+    typedef PathVectorTime Position;
+    typedef Sequence::iterator iterator;
+    typedef Sequence::const_iterator const_iterator;
+    typedef Sequence::size_type size_type;
+    typedef Path value_type;
+    typedef Path &reference;
+    typedef Path const &const_reference;
+    typedef Path *pointer;
+    typedef std::ptrdiff_t difference_type;
+
+    PathVector() {}
+    PathVector(Path const &p)
+        : _data(1, p)
+    {}
+    template <typename InputIter>
+    PathVector(InputIter first, InputIter last)
+        : _data(first, last)
+    {}
+
+    /// Check whether the vector contains any paths.
+    bool empty() const { return _data.empty(); }
+    /// Get the number of paths in the vector.
+    size_type size() const { return _data.size(); }
+    /// Get the total number of curves in the vector.
+    size_type curveCount() const;
+
+    iterator begin() { return _data.begin(); }
+    iterator end() { return _data.end(); }
+    const_iterator begin() const { return _data.begin(); }
+    const_iterator end() const { return _data.end(); }
+    Path &operator[](size_type index) {
+        return _data[index];
+    }
+    Path const &operator[](size_type index) const {
+        return _data[index];
+    }
+    Path &at(size_type index) {
+        return _data.at(index);
+    }
+    Path const &at(size_type index) const {
+        return _data.at(index);
+    }
+    Path &front() { return _data.front(); }
+    Path const &front() const { return _data.front(); }
+    Path &back() { return _data.back(); }
+    Path const &back() const { return _data.back(); }
+    /// Append a path at the end.
+    void push_back(Path const &path) {
+        _data.push_back(path);
+    }
+    /// Remove the last path.
+    void pop_back() {
+        _data.pop_back();
+    }
+    iterator insert(iterator pos, Path const &p) {
+        return _data.insert(pos, p);
+    }
+    template <typename InputIter>
+    void insert(iterator out, InputIter first, InputIter last) {
+        _data.insert(out, first, last);
+    }
+    /// Remove a path from the vector.
+    iterator erase(iterator i) {
+        return _data.erase(i);
+    }
+    /// Remove a range of paths from the vector.
+    iterator erase(iterator first, iterator last) {
+        return _data.erase(first, last);
+    }
+    /// Remove all paths from the vector.
+    void clear() { _data.clear(); }
+    /** @brief Change the number of paths.
+     * If the vector size increases, it is passed with paths that contain only
+     * a degenerate closing segment at (0,0). */
+    void resize(size_type n) { _data.resize(n); }
+    /** @brief Reverse the direction of paths in the vector.
+     * @param reverse_paths If this is true, the order of paths is reversed as well;
+     *                      otherwise each path is reversed, but their order in the
+     *                      PathVector stays the same */
+    void reverse(bool reverse_paths = true);
+    /** @brief Get a new vector with reversed direction of paths.
+     * @param reverse_paths If this is true, the order of paths is reversed as well;
+     *                      otherwise each path is reversed, but their order in the
+     *                      PathVector stays the same */
+    PathVector reversed(bool reverse_paths = true) const;
+
+    /// Get the range of allowed time values.
+    Interval timeRange() const {
+        Interval ret(0, curveCount()); return ret;
+    }
+    /** @brief Get the first point in the first path of the vector.
+     * This method will throw an exception if the vector doesn't contain any paths. */
+    Point initialPoint() const {
+        return _data.front().initialPoint();
+    }
+    /** @brief Get the last point in the last path of the vector.
+     * This method will throw an exception if the vector doesn't contain any paths. */
+    Point finalPoint() const {
+        return _data.back().finalPoint();
+    }
+    Path &pathAt(Coord t, Coord *rest = NULL);
+    Path const &pathAt(Coord t, Coord *rest = NULL) const;
+    Curve const &curveAt(Coord t, Coord *rest = NULL) const;
+    Coord valueAt(Coord t, Dim2 d) const;
+    Point pointAt(Coord t) const;
+
+    Path &pathAt(PathVectorTime const &pos) {
+        return const_cast<Path &>(static_cast<PathVector const*>(this)->pathAt(pos));
+    }
+    Path const &pathAt(PathVectorTime const &pos) const {
+        return at(pos.path_index);
+    }
+    Curve const &curveAt(PathVectorTime const &pos) const {
+        return at(pos.path_index).at(pos.curve_index);
+    }
+    Point pointAt(PathVectorTime const &pos) const {
+        return at(pos.path_index).at(pos.curve_index).pointAt(pos.t);
+    }
+    Coord valueAt(PathVectorTime const &pos, Dim2 d) const {
+        return at(pos.path_index).at(pos.curve_index).valueAt(pos.t, d);
+    }
+
+    OptRect boundsFast() const;
+    OptRect boundsExact() const;
+
+    template <typename T>
+    BOOST_CONCEPT_REQUIRES(((TransformConcept<T>)), (PathVector &))
+    operator*=(T const &t) {
+        if (empty()) return *this;
+        for (auto & i : *this) {
+            i *= t;
+        }
+        return *this;
+    }
+
+    bool operator==(PathVector const &other) const {
+        return boost::range::equal(_data, other._data);
+    }
+
+    void snapEnds(Coord precision = EPSILON);
+
+    std::vector<PVIntersection> intersect(PathVector const &other, Coord precision = EPSILON) const;
+
+    /** @brief Determine the winding number at the specified point.
+     * This is simply the sum of winding numbers for constituent paths. */
+    int winding(Point const &p) const;
+
+    std::optional<PathVectorTime> nearestTime(Point const &p, Coord *dist = NULL) const;
+    std::vector<PathVectorTime> allNearestTimes(Point const &p, Coord *dist = NULL) const;
+
+    std::vector<Point> nodes() const;
+
+private:
+    PathVectorTime _factorTime(Coord t) const;
+
+    Sequence _data;
+};
+
+inline OptRect bounds_fast(PathVector const &pv) { return pv.boundsFast(); }
+inline OptRect bounds_exact(PathVector const &pv) { return pv.boundsExact(); }
+
+std::ostream &operator<<(std::ostream &out, PathVector const &pv);
+
+} // end namespace Geom
+
+#endif // LIB2GEOM_SEEN_PATHVECTOR_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 :