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+/**
+ * \file
+ * \brief Linear fragment function class
+ *
+ * Authors:
+ * Nathan Hurst <njh@mail.csse.monash.edu.au>
+ * Michael Sloan <mgsloan@gmail.com>
+ *
+ * Copyright (C) 2006-2007 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 SEEN_LINEAR_OF_H
+#define SEEN_LINEAR_OF_H
+#include <2geom/interval.h>
+#include <2geom/math-utils.h>
+
+namespace Geom{
+
+template <typename T>
+inline T lerp(double t, T a, T b) { return a*(1-t) + b*t; }
+
+template <typename T>
+class SBasisOf;
+
+template <typename T>
+class HatOf{
+public:
+ HatOf () {}
+ HatOf(T d) :d(d) {}
+ operator T() const { return d; }
+ T d;
+};
+
+template <typename T>
+class TriOf{
+public:
+ TriOf () {}
+ TriOf(double d) :d(d) {}
+ operator T() const { return d; }
+ T d;
+};
+
+
+//--------------------------------------------------------------------------
+#ifdef USE_SBASIS_OF
+template <typename T>
+class LinearOf;
+typedef Geom::LinearOf<double> Linear;
+#endif
+//--------------------------------------------------------------------------
+
+template <typename T>
+class LinearOf{
+public:
+ T a[2];
+ LinearOf() {}
+ LinearOf(T aa, T b) {a[0] = aa; a[1] = b;}
+ //LinearOf(double aa, double b) {a[0] = T(aa); a[1] = T(b);}
+ LinearOf(HatOf<T> h, TriOf<T> t) {
+ a[0] = T(h) - T(t)/2;
+ a[1] = T(h) + T(t)/2;
+ }
+
+ LinearOf(HatOf<T> h) {
+ a[0] = T(h);
+ a[1] = T(h);
+ }
+
+ unsigned input_dim(){return T::input_dim() + 1;}
+
+ T operator[](const int i) const {
+ assert(i >= 0);
+ assert(i < 2);
+ return a[i];
+ }
+ T& operator[](const int i) {
+ assert(i >= 0);
+ assert(i < 2);
+ return a[i];
+ }
+
+ //IMPL: FragmentConcept
+ typedef T output_type;
+ inline bool isZero() const { return a[0].isZero() && a[1].isZero(); }
+ inline bool isConstant() const { return a[0] == a[1]; }
+ inline bool isFinite() const { return std::isfinite(a[0]) && std::isfinite(a[1]); }
+
+ inline T at0() const { return a[0]; }
+ inline T at1() const { return a[1]; }
+
+ inline T valueAt(double t) const { return lerp(t, a[0], a[1]); }
+ inline T operator()(double t) const { return valueAt(t); }
+
+ //defined in sbasis.h
+ inline SBasisOf<T> toSBasis() const;
+
+//This is specific for T=double!!
+ inline OptInterval bounds_exact() const { return Interval(a[0], a[1]); }
+ inline OptInterval bounds_fast() const { return bounds_exact(); }
+ inline OptInterval bounds_local(double u, double v) const { return Interval(valueAt(u), valueAt(v)); }
+
+ operator TriOf<T>() const {
+ return a[1] - a[0];
+ }
+ operator HatOf<T>() const {
+ return (a[1] + a[0])/2;
+ }
+};
+
+template <>
+unsigned LinearOf<double>::input_dim(){return 1;}
+template <>
+inline OptInterval LinearOf<double>::bounds_exact() const { return Interval(a[0], a[1]); }
+template <>
+inline OptInterval LinearOf<double>::bounds_fast() const { return bounds_exact(); }
+template <>
+inline OptInterval LinearOf<double>::bounds_local(double u, double v) const { return Interval(valueAt(u), valueAt(v)); }
+template <>
+inline bool LinearOf<double>::isZero() const { return a[0]==0 && a[1]==0; }
+
+template <typename T>
+inline LinearOf<T> reverse(LinearOf<T> const &a) { return LinearOf<T>(a[1], a[0]); }
+
+//IMPL: AddableConcept
+template <typename T>
+inline LinearOf<T> operator+(LinearOf<T> const & a, LinearOf<T> const & b) {
+ return LinearOf<T>(a[0] + b[0], a[1] + b[1]);
+}
+template <typename T>
+inline LinearOf<T> operator-(LinearOf<T> const & a, LinearOf<T> const & b) {
+ return LinearOf<T>(a[0] - b[0], a[1] - b[1]);
+}
+template <typename T>
+inline LinearOf<T>& operator+=(LinearOf<T> & a, LinearOf<T> const & b) {
+ a[0] += b[0]; a[1] += b[1];
+ return a;
+}
+template <typename T>
+inline LinearOf<T>& operator-=(LinearOf<T> & a, LinearOf<T> const & b) {
+ a[0] -= b[0]; a[1] -= b[1];
+ return a;
+}
+//IMPL: OffsetableConcept
+template <typename T>
+inline LinearOf<T> operator+(LinearOf<T> const & a, double b) {
+ return LinearOf<T>(a[0] + b, a[1] + b);
+}
+template <typename T>
+inline LinearOf<T> operator-(LinearOf<T> const & a, double b) {
+ return LinearOf<T>(a[0] - b, a[1] - b);
+}
+template <typename T>
+inline LinearOf<T>& operator+=(LinearOf<T> & a, double b) {
+ a[0] += b; a[1] += b;
+ return a;
+}
+template <typename T>
+inline LinearOf<T>& operator-=(LinearOf<T> & a, double b) {
+ a[0] -= b; a[1] -= b;
+ return a;
+}
+/*
+//We can in fact offset in coeff ring T...
+template <typename T>
+inline LinearOf<T> operator+(LinearOf<T> const & a, T b) {
+ return LinearOf<T>(a[0] + b, a[1] + b);
+}
+template <typename T>
+inline LinearOf<T> operator-(LinearOf<T> const & a, T b) {
+ return LinearOf<T>(a[0] - b, a[1] - b);
+}
+template <typename T>
+inline LinearOf<T>& operator+=(LinearOf<T> & a, T b) {
+ a[0] += b; a[1] += b;
+ return a;
+}
+template <typename T>
+inline LinearOf<T>& operator-=(LinearOf<T> & a, T b) {
+ a[0] -= b; a[1] -= b;
+ return a;
+}
+*/
+
+//IMPL: boost::EqualityComparableConcept
+template <typename T>
+inline bool operator==(LinearOf<T> const & a, LinearOf<T> const & b) {
+ return a[0] == b[0] && a[1] == b[1];
+}
+template <typename T>
+inline bool operator!=(LinearOf<T> const & a, LinearOf<T> const & b) {
+ return a[0] != b[0] || a[1] != b[1];
+}
+//IMPL: ScalableConcept
+template <typename T>
+inline LinearOf<T> operator-(LinearOf<T> const &a) {
+ return LinearOf<T>(-a[0], -a[1]);
+}
+template <typename T>
+inline LinearOf<T> operator*(LinearOf<T> const & a, double b) {
+ return LinearOf<T>(a[0]*b, a[1]*b);
+}
+template <typename T>
+inline LinearOf<T> operator/(LinearOf<T> const & a, double b) {
+ return LinearOf<T>(a[0]/b, a[1]/b);
+}
+template <typename T>
+inline LinearOf<T> operator*=(LinearOf<T> & a, double b) {
+ a[0] *= b; a[1] *= b;
+ return a;
+}
+template <typename T>
+inline LinearOf<T> operator/=(LinearOf<T> & a, double b) {
+ a[0] /= b; a[1] /= b;
+ return a;
+}
+/*
+//We can in fact rescale in coeff ring T... (but not divide!)
+template <typename T>
+inline LinearOf<T> operator*(LinearOf<T> const & a, T b) {
+ return LinearOf<T>(a[0]*b, a[1]*b);
+}
+template <typename T>
+inline LinearOf<T> operator/(LinearOf<T> const & a, T b) {
+ return LinearOf<T>(a[0]/b, a[1]/b);
+}
+template <typename T>
+inline LinearOf<T> operator*=(LinearOf<T> & a, T b) {
+ a[0] *= b; a[1] *= b;
+ return a;
+}
+*/
+
+};
+
+#endif //SEEN_LINEAR_OF_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 :