1 /*
2 * bezier-to-sbasis.h
3 *
4 * Copyright 2006 Nathan Hurst <njh@mail.csse.monash.edu.au>
5 *
6 * This library is free software; you can redistribute it and/or
7 * modify it either under the terms of the GNU Lesser General Public
8 * License version 2.1 as published by the Free Software Foundation
9 * (the "LGPL") or, at your option, under the terms of the Mozilla
10 * Public License Version 1.1 (the "MPL"). If you do not alter this
11 * notice, a recipient may use your version of this file under either
12 * the MPL or the LGPL.
13 *
14 * You should have received a copy of the LGPL along with this library
15 * in the file COPYING-LGPL-2.1; if not, write to the Free Software
16 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
17 * You should have received a copy of the MPL along with this library
18 * in the file COPYING-MPL-1.1
19 *
20 * The contents of this file are subject to the Mozilla Public License
21 * Version 1.1 (the "License"); you may not use this file except in
22 * compliance with the License. You may obtain a copy of the License at
23 * http://www.mozilla.org/MPL/
24 *
25 * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
26 * OF ANY KIND, either express or implied. See the LGPL or the MPL for
27 * the specific language governing rights and limitations.
28 *
29 */
31 #ifndef _BEZIER_TO_SBASIS
32 #define _BEZIER_TO_SBASIS
34 #include "coord.h"
36 #include "d2.h"
37 #include "point.h"
39 namespace Geom{
41 inline SBasis bezier_to_sbasis(Coord const *handles, unsigned order) {
42 if(order == 0)
43 return Linear(handles[0]);
44 else if(order == 1)
45 return Linear(handles[0], handles[1]);
46 else
47 return multiply(Linear(1, 0), bezier_to_sbasis(handles, order-1)) +
48 multiply(Linear(0, 1), bezier_to_sbasis(handles+1, order-1));
49 }
52 template <typename T>
53 inline D2<SBasis> handles_to_sbasis(T const &handles, unsigned order) {
54 double v[2][order+1];
55 for(unsigned i = 0; i <= order; i++)
56 for(unsigned j = 0; j < 2; j++)
57 v[j][i] = handles[i][j];
58 return D2<SBasis>(bezier_to_sbasis(v[0], order),
59 bezier_to_sbasis(v[1], order));
60 }
62 };
63 #endif
64 /*
65 Local Variables:
66 mode:c++
67 c-file-style:"stroustrup"
68 c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
69 indent-tabs-mode:nil
70 fill-column:99
71 End:
72 */
73 // vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:encoding=utf-8:textwidth=99 :