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/** @file
* @brief some std functions to work with (pw)s-basis
*//*
* Authors:
* Jean-Francois Barraud
*
* 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.
*/
//this a first try to define sqrt, cos, sin, etc...
//TODO: define a truncated compose(sb,sb, order) and extend it to pw<sb>.
//TODO: in all these functions, compute 'order' according to 'tol'.
//TODO: use template to define the pw version automatically from the sb version?
#ifndef LIB2GEOM_SEEN_SBASIS_MATH_H
#define LIB2GEOM_SEEN_SBASIS_MATH_H
#include <2geom/sbasis.h>
#include <2geom/piecewise.h>
#include <2geom/d2.h>
namespace Geom{
//-|x|---------------------------------------------------------------
Piecewise<SBasis> abs( SBasis const &f);
Piecewise<SBasis> abs(Piecewise<SBasis>const &f);
//- max(f,g), min(f,g) ----------------------------------------------
Piecewise<SBasis> max( SBasis const &f, SBasis const &g);
Piecewise<SBasis> max(Piecewise<SBasis> const &f, SBasis const &g);
Piecewise<SBasis> max( SBasis const &f, Piecewise<SBasis> const &g);
Piecewise<SBasis> max(Piecewise<SBasis> const &f, Piecewise<SBasis> const &g);
Piecewise<SBasis> min( SBasis const &f, SBasis const &g);
Piecewise<SBasis> min(Piecewise<SBasis> const &f, SBasis const &g);
Piecewise<SBasis> min( SBasis const &f, Piecewise<SBasis> const &g);
Piecewise<SBasis> min(Piecewise<SBasis> const &f, Piecewise<SBasis> const &g);
//-sign(x)---------------------------------------------------------------
Piecewise<SBasis> signSb( SBasis const &f);
Piecewise<SBasis> signSb(Piecewise<SBasis>const &f);
//-Sqrt---------------------------------------------------------------
Piecewise<SBasis> sqrt( SBasis const &f, double tol=1e-3, int order=3);
Piecewise<SBasis> sqrt(Piecewise<SBasis>const &f, double tol=1e-3, int order=3);
//-sin/cos--------------------------------------------------------------
Piecewise<SBasis> cos( SBasis const &f, double tol=1e-3, int order=3);
Piecewise<SBasis> cos(Piecewise<SBasis> const &f, double tol=1e-3, int order=3);
Piecewise<SBasis> sin( SBasis const &f, double tol=1e-3, int order=3);
Piecewise<SBasis> sin(Piecewise<SBasis> const &f, double tol=1e-3, int order=3);
//-Log---------------------------------------------------------------
Piecewise<SBasis> log( SBasis const &f, double tol=1e-3, int order=3);
Piecewise<SBasis> log(Piecewise<SBasis>const &f, double tol=1e-3, int order=3);
//--1/x------------------------------------------------------------
//TODO: change this...
Piecewise<SBasis> reciprocalOnDomain(Interval range, double tol=1e-3);
Piecewise<SBasis> reciprocal( SBasis const &f, double tol=1e-3, int order=3);
Piecewise<SBasis> reciprocal(Piecewise<SBasis>const &f, double tol=1e-3, int order=3);
//--interpolate------------------------------------------------------------
Piecewise<SBasis> interpolate( std::vector<double> times, std::vector<double> values, unsigned smoothness = 1);
}
#endif //SEEN_GEOM_PW_SB_CALCULUS_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 :
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