1 /*
2 * sbasis-math.h - some std functions to work with (pw)s-basis
3 *
4 * Authors:
5 * Jean-Francois Barraud
6 *
7 * Copyright (C) 2006-2007 authors
8 *
9 * This library is free software; you can redistribute it and/or
10 * modify it either under the terms of the GNU Lesser General Public
11 * License version 2.1 as published by the Free Software Foundation
12 * (the "LGPL") or, at your option, under the terms of the Mozilla
13 * Public License Version 1.1 (the "MPL"). If you do not alter this
14 * notice, a recipient may use your version of this file under either
15 * the MPL or the LGPL.
16 *
17 * You should have received a copy of the LGPL along with this library
18 * in the file COPYING-LGPL-2.1; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 * You should have received a copy of the MPL along with this library
21 * in the file COPYING-MPL-1.1
22 *
23 * The contents of this file are subject to the Mozilla Public License
24 * Version 1.1 (the "License"); you may not use this file except in
25 * compliance with the License. You may obtain a copy of the License at
26 * http://www.mozilla.org/MPL/
27 *
28 * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
29 * OF ANY KIND, either express or implied. See the LGPL or the MPL for
30 * the specific language governing rights and limitations.
31 */
33 //this a first try to define sqrt, cos, sin, etc...
34 //TODO: define a truncated compose(sb,sb, order) and extend it to pw<sb>.
35 //TODO: in all these functions, compute 'order' according to 'tol'.
36 //TODO: use template to define the pw version automatically from the sb version?
38 #ifndef SEEN_GEOM_SB_CALCULS_H
39 #define SEEN_GEOM_SB_CALCULS_H
42 #include "sbasis.h"
43 #include "piecewise.h"
45 namespace Geom{
46 //-|x|---------------------------------------------------------------
47 Piecewise<SBasis> abs( SBasis const &f);
48 Piecewise<SBasis> abs(Piecewise<SBasis>const &f);
50 //- max(f,g), min(f,g) ----------------------------------------------
51 Piecewise<SBasis> maxSb( SBasis const &f, SBasis const &g);
52 Piecewise<SBasis> maxSb(Piecewise<SBasis> const &f, SBasis const &g);
53 Piecewise<SBasis> maxSb( SBasis const &f, Piecewise<SBasis> const &g);
54 Piecewise<SBasis> maxSb(Piecewise<SBasis> const &f, Piecewise<SBasis> const &g);
55 Piecewise<SBasis> minSb( SBasis const &f, SBasis const &g);
56 Piecewise<SBasis> minSb(Piecewise<SBasis> const &f, SBasis const &g);
57 Piecewise<SBasis> minSb( SBasis const &f, Piecewise<SBasis> const &g);
58 Piecewise<SBasis> minSb(Piecewise<SBasis> const &f, Piecewise<SBasis> const &g);
60 //-sign(x)---------------------------------------------------------------
61 Piecewise<SBasis> signSb( SBasis const &f);
62 Piecewise<SBasis> signSb(Piecewise<SBasis>const &f);
64 //-Sqrt---------------------------------------------------------------
65 Piecewise<SBasis> sqrt( SBasis const &f, double tol=1e-3, int order=3);
66 Piecewise<SBasis> sqrt(Piecewise<SBasis>const &f, double tol=1e-3, int order=3);
68 //-sin/cos--------------------------------------------------------------
69 Piecewise<SBasis> cos( SBasis const &f, double tol=1e-3, int order=3);
70 Piecewise<SBasis> cos(Piecewise<SBasis> const &f, double tol=1e-3, int order=3);
71 Piecewise<SBasis> sin( SBasis const &f, double tol=1e-3, int order=3);
72 Piecewise<SBasis> sin(Piecewise<SBasis> const &f, double tol=1e-3, int order=3);
73 //-Log---------------------------------------------------------------
74 Piecewise<SBasis> log( SBasis const &f, double tol=1e-3, int order=3);
75 Piecewise<SBasis> log(Piecewise<SBasis>const &f, double tol=1e-3, int order=3);
77 //--1/x------------------------------------------------------------
78 //TODO: change this...
79 Piecewise<SBasis> reciprocalOnDomain(Interval range, double tol=1e-3);
80 Piecewise<SBasis> reciprocal( SBasis const &f, double tol=1e-3, int order=3);
81 Piecewise<SBasis> reciprocal(Piecewise<SBasis>const &f, double tol=1e-3, int order=3);
83 }
85 #endif //SEEN_GEOM_PW_SB_CALCULUS_H
86 /*
87 Local Variables:
88 mode:c++
89 c-file-style:"stroustrup"
90 c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
91 indent-tabs-mode:nil
92 fill-column:99
93 End:
94 */
95 // vim: filetype = cpp:expandtab:shiftwidth = 4:tabstop = 8:softtabstop = 4:encoding = utf-8:textwidth = 99 :