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bezier-to-sbasis.h
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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 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  */
30 
31 #ifndef _BEZIER_TO_SBASIS
32 #define _BEZIER_TO_SBASIS
33 
34 #include "coord.h"
35 
36 #include "d2.h"
37 #include "point.h"
38 
39 namespace Geom{
40 
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 }
50 
51 
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 }
61 
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 :
Definition: angle.h:38
double Coord
Definition: coord.h:45