File: deriv.h

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/*
 * deriv.h  -- ePiX derivative function template
 *
 * This file is part of ePiX, a C++ library for creating high-quality 
 * figures in LaTeX 
 *
 * Version 1.0.23
 * Last Change: January 06, 2007
 */

/* 
 * Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007
 * Andrew D. Hwang <rot 13 nujnat at zngupf dot ubylpebff dot rqh>
 * Department of Mathematics and Computer Science
 * College of the Holy Cross
 * Worcester, MA, 01610-2395, USA
 */

/*
 * ePiX is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
 * (at your option) any later version.
 *
 * ePiX is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
 * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
 * License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with ePiX; if not, write to the Free Software Foundation, Inc.,
 * 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
 */

#ifndef EPIX_DERIV
#define EPIX_DERIV

#include "constants.h"

namespace ePiX {

  // moved from functions.h to hide global constant EPIX_EPSILON
  template<class T> T deriv(T f(double), double t, double dt=EPIX_EPSILON)
  {
    return (1.0/dt)*(f(t+0.5*dt) - f(t-0.5*dt));
  }
} // end of namespace

#endif /* EPIX_DERIV */