/* * sbasis-math.h - 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 SEEN_GEOM_SB_CALCULS_H #define SEEN_GEOM_SB_CALCULS_H #include "sbasis.h" #include "piecewise.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); } #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:encoding = utf-8:textwidth = 99 :