/*
 * The Spar Library - modular math parser
 * Copyright (C) 2000,2001 Davide Angelocola <davide178@inwind.it>
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License.
 *
 * 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
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this library; if not, write to the
 * Free Software Foundation, Inc., 59 Temple Place - Suite 330,
 * Boston, MA  02111-1307, USA.
 *
 */

#include <spar/sl_complex.h>
#include <spar/sl_math_library.h>
#include <spar/sl_math.h>

sl_complex
sl_complex_asinh (sl_complex z)
{
  sl_complex u;

  SL_COMPLEX_RE (u) = 1.;
  SL_COMPLEX_IM (u) = 0.;
  u = sl_complex_sqrt (sl_complex_add (u, sl_complex_mul (z, z)));
  SL_COMPLEX_RE (u) += SL_COMPLEX_RE (z);
  SL_COMPLEX_IM (u) += SL_COMPLEX_IM (z);

  return sl_complex_log (u);
}

sl_complex
sl_complex_acosh (sl_complex z)
{
  sl_complex u;
  int kf;

  if (SL_IS_ZERO (SL_COMPLEX_IM (z)) && SL_COMPLEX_RE (z) < -1.)
    kf = 1;
  else
    kf = 0;

  SL_COMPLEX_RE (u) = 1.;
  SL_COMPLEX_IM (u) = 0.;
  u = sl_complex_sqrt (sl_complex_sub (sl_complex_mul (z, z), u));
  SL_COMPLEX_RE (z) -= SL_COMPLEX_RE (u);
  SL_COMPLEX_IM (z) += SL_COMPLEX_IM (u);
  z = sl_complex_log (z);

  if (SL_IS_NEGATIVE(SL_COMPLEX_RE (z)))
    {
      SL_COMPLEX_RE (z) = -SL_COMPLEX_RE (z);
      SL_COMPLEX_IM (z) = -SL_COMPLEX_IM (z);
    }

  if (kf)
    SL_COMPLEX_IM (z) = -SL_COMPLEX_IM (z);

  return z;
}

sl_complex
sl_complex_atanh (sl_complex z)
{
  sl_complex u;

  SL_COMPLEX_RE (z) = 1.;
  SL_COMPLEX_IM (z) = 0.;
  u = sl_complex_div (sl_complex_add (u, z), sl_complex_sub (u, z));
  u = sl_complex_mul_real (sl_complex_log (u), .5);

  return u;
}