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+/**
+ * \file
+ * \brief Linear fragment function class
+ *//*
+ * Authors:
+ * Nathan Hurst <njh@mail.csse.monash.edu.au>
+ * Michael Sloan <mgsloan@gmail.com>
+ * Krzysztof KosiƄski <tweenk.pl@gmail.com>
+ *
+ * Copyright (C) 2006-2015 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_LINEAR_H
+#define LIB2GEOM_SEEN_LINEAR_H
+
+#include <2geom/interval.h>
+#include <2geom/math-utils.h>
+
+namespace Geom {
+
+class SBasis;
+
+/**
+ * @brief Function that interpolates linearly between two values.
+ * @ingroup Fragments
+ */
+class Linear
+ : boost::additive< Linear
+ , boost::arithmetic< Linear, Coord
+ , boost::equality_comparable< Linear
+ > > >
+{
+public:
+ Coord a[2];
+ Linear() {a[0]=0; a[1]=0;}
+ Linear(Coord aa, Coord b) {a[0] = aa; a[1] = b;}
+ Linear(Coord aa) {a[0] = aa; a[1] = aa;}
+
+ Coord operator[](unsigned i) const {
+ assert(i < 2);
+ return a[i];
+ }
+ Coord &operator[](unsigned i) {
+ assert(i < 2);
+ return a[i];
+ }
+
+ //IMPL: FragmentConcept
+ typedef Coord output_type;
+ bool isZero(Coord eps=EPSILON) const { return are_near(a[0], 0., eps) && are_near(a[1], 0., eps); }
+ bool isConstant(Coord eps=EPSILON) const { return are_near(a[0], a[1], eps); }
+ bool isFinite() const { return std::isfinite(a[0]) && std::isfinite(a[1]); }
+
+ Coord at0() const { return a[0]; }
+ Coord &at0() { return a[0]; }
+ Coord at1() const { return a[1]; }
+ Coord &at1() { return a[1]; }
+
+ Coord valueAt(Coord t) const { return lerp(t, a[0], a[1]); }
+ Coord operator()(Coord t) const { return valueAt(t); }
+
+ // not very useful, but required for FragmentConcept
+ std::vector<Coord> valueAndDerivatives(Coord t, unsigned n) {
+ std::vector<Coord> result(n+1, 0.0);
+ result[0] = valueAt(t);
+ if (n >= 1) {
+ result[1] = a[1] - a[0];
+ }
+ return result;
+ }
+
+ //defined in sbasis.h
+ inline SBasis toSBasis() const;
+
+ OptInterval bounds_exact() const { return Interval(a[0], a[1]); }
+ OptInterval bounds_fast() const { return bounds_exact(); }
+ OptInterval bounds_local(double u, double v) const { return Interval(valueAt(u), valueAt(v)); }
+
+ double tri() const {
+ return a[1] - a[0];
+ }
+ double hat() const {
+ return (a[1] + a[0])/2;
+ }
+
+ // addition of other Linears
+ Linear &operator+=(Linear const &other) {
+ a[0] += other.a[0];
+ a[1] += other.a[1];
+ return *this;
+ }
+ Linear &operator-=(Linear const &other) {
+ a[0] -= other.a[0];
+ a[1] -= other.a[1];
+ return *this;
+ }
+
+ //
+ Linear &operator+=(Coord x) {
+ a[0] += x; a[1] += x;
+ return *this;
+ }
+ Linear &operator-=(Coord x) {
+ a[0] -= x; a[1] -= x;
+ return *this;
+ }
+ Linear &operator*=(Coord x) {
+ a[0] *= x; a[1] *= x;
+ return *this;
+ }
+ Linear &operator/=(Coord x) {
+ a[0] /= x; a[1] /= x;
+ return *this;
+ }
+ Linear operator-() const {
+ Linear ret(-a[0], -a[1]);
+ return ret;
+ }
+
+ bool operator==(Linear const &other) const {
+ return a[0] == other.a[0] && a[1] == other.a[1];
+ }
+};
+
+inline Linear reverse(Linear const &a) { return Linear(a[1], a[0]); }
+inline Linear portion(Linear const &a, Coord from, Coord to) {
+ Linear result(a.valueAt(from), a.valueAt(to));
+ return result;
+}
+
+} // end namespace Geom
+
+#endif //LIB2GEOM_SEEN_LINEAR_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 :