rmath.hpp

/*
**  CXSC is a C++ library for eXtended Scientific Computing (V 2.5.4)
**
**  Copyright (C) 1990-2000 Institut fuer Angewandte Mathematik,
**                          Universitaet Karlsruhe, Germany
**            (C) 2000-2014 Wiss. Rechnen/Softwaretechnologie
**                          Universitaet Wuppertal, Germany   
**
**  This library is free software; you can redistribute it and/or
**  modify it under the terms of the GNU Library General Public
**  License as published by the Free Software Foundation; either
**  version 2 of the License, or (at your option) any later version.
**
**  This library 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
**  Library General Public License for more details.
**
**  You should have received a copy of the GNU Library General Public
**  License along with this library; if not, write to the Free
**  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
*/

/* CVS $Id: rmath.hpp,v 1.36 2014/01/30 17:23:48 cxsc Exp $ */

#ifndef _CXSC_RMATH_HPP_INCLUDED
#define _CXSC_RMATH_HPP_INCLUDED

#include "real.hpp"
#include <dot.hpp> // Blomquist

namespace cxsc {

inline real sqr    (const real&) throw(); // Sqr(x)
inline real sqrt   (const real&);         // Sqrt(x)
inline real sqrt   (const real &, int);   // Sqrt(x, n)
       real sqrt1px2(const real&) throw();  // Sqrt(1+x^2); Blomquist 13.12.02
inline real sqrtm1  (const real&); // Sqrt(x+1)-1; ohne Fehlerabsch�zung!
       real sqrtp1m1(const real&) throw(); // Blomquist 05.08.03
       real sqrtx2m1(const real&);
       real sqrt1mx2(const real&) throw(STD_FKT_OUT_OF_DEF);
              

inline real sin    (const real&) throw();        // Sin(x)
       real sinpix_pi(const real& x);            // sin(pi*x)/pi;
inline real cos    (const real&) throw();        // Cos(x)
inline real tan    (const real&) throw();        // Tan(x)
inline real cot    (const real&) throw();        // Cot(x)

inline real asin   (const real&);                // ASin(x)
inline real acos   (const real&);                // ACos(x)
inline real atan   (const real&);                // ATan(x) 
inline real acot   (const real&);                // ACot(x)

inline real exp    (const real&) throw();        // Exp(x)
inline real expm1  (const real&) throw();        // Exp(x)-1
       real expmx2 (const real&) throw();        // Exp(-x^2)
       real expx2  (const real& x);              // e^{+x^2}
       real expx2m1(const real& x);              // e^{+x^2}-1

inline real lnp1   (const real&);                // Ln(1+x)
inline real ln     (const real&);                // Ln(x)
inline real log2     (const real&);              // Log2(x)
inline real log10     (const real&);             // Log10(x)

inline real sinh   (const real&) throw();        // Sinh(x)
inline real cosh   (const real&) throw();        // Cosh(x)
       real acoshp1(const real& x) throw();      // acosh(1+x)
inline real tanh   (const real&) throw();        // Tanh(x) 
inline real coth   (const real&) throw();        // Coth(x)

inline real asinh  (const real&);                // ASinh(x)
inline real acosh  (const real&);                // ACosh(x)
inline real atanh  (const real&);                // ATanh(x)
inline real acoth  (const real&);                // ACoth(x)
inline real erf    (const real&);                // error function
inline real erfc   (const real&);                // complementary error function
       real gamma (const real& x);       // Gamma(x)
       real gammar(const real& x);       // 1/Gamma(x)
  
inline real pow    (const real&, const real&);  // Pow(x,y)
inline real power  (const real&, const int);    // Power(x,n)

       real sqrtx2y2(const real&, const real&) throw(); // Sqrt(x^2+y^2)
       real ln_sqrtx2y2(const real&, const real&) throw(STD_FKT_OUT_OF_DEF);  
                                                 // ln( sqrt(x^2+y^2) )

real Cut24(const real&);
real Cut25(const real&);
real Cut26(const real&);
int Round(const real& x) throw(); 
int ceil(const real& x) throw();
int ifloor(const real& x) throw();

extern "C" {
   void r_lfsr(void); // Siehe real.hpp in real_ari...?!?!
}

} // namespace cxsc 

#include "rmath.inl"
#endif // _CXSC_RMATH_HPP_INCLUDED