/*

Copyright (C) 1996-2018 John W. Eaton
Copyright (C) 2010 VZLU Prague

This file is part of Octave.

Octave 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 3 of the License, or
(at your option) any later version.

Octave 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 Octave; see the file COPYING.  If not, see
<https://www.gnu.org/licenses/>.

*/

#if defined (HAVE_CONFIG_H)
#  include "config.h"
#endif

#include "lo-mappers.h"
#include "lo-specfun.h"
#include "math-wrappers.h"

// FIXME: We used to have this situation:
//
//   Functions that forward to gnulib belong here so we can keep
//   gnulib:: out of lo-mappers.h.
//
// but now we just use std:: and explicit wrappers in C++ code so maybe
// some of the forwarding functions can be defined inline here.

namespace octave
{
  namespace math
  {
    bool
    isna (double x)
    {
      return lo_ieee_is_NA (x);
    }

    bool
    isna (const Complex& x)
    {
      return (isna (std::real (x)) || isna (std::imag (x)));
    }

    bool
    isna (float x)
    {
      return lo_ieee_is_NA (x);
    }

    bool
    isna (const FloatComplex& x)
    {
      return (isna (std::real (x)) || isna (std::imag (x)));
    }

    bool
    is_NaN_or_NA (const Complex& x)
    {
      return (isnan (std::real (x)) || isnan (std::imag (x)));
    }

    bool
    is_NaN_or_NA (const FloatComplex& x)
    {
      return (isnan (std::real (x)) || isnan (std::imag (x)));
    }

    // Matlab returns a different phase for acos, asin then std library
    // which requires a small function to remap the phase.
    Complex
    acos (const Complex& x)
    {
      Complex y = std::acos (x);

      if (std::imag (x) == 0.0 && std::real (x) > 1.0)
        return std::conj (y);
      else
        return y;
    }

    FloatComplex
    acos (const FloatComplex& x)
    {
      FloatComplex y = std::acos (x);

      if (std::imag (x) == 0.0f && std::real (x) > 1.0f)
        return std::conj (y);
      else
        return y;
    }

    Complex
    asin (const Complex& x)
    {
      Complex y = std::asin (x);

      if (std::imag (x) == 0.0 && std::real (x) > 1.0)
        return std::conj (y);
      else
        return y;
    }

    FloatComplex
    asin (const FloatComplex& x)
    {
      FloatComplex y = std::asin (x);

      if (std::imag (x) == 0.0f && std::real (x) > 1.0f)
        return std::conj (y);
      else
        return y;
    }

    double frexp (double x, int *expptr)
    {
      return octave_frexp_wrapper (x, expptr);
    }

    float frexp (float x, int *expptr)
    {
      return octave_frexpf_wrapper (x, expptr);
    }

    Complex
    log2 (const Complex& x)
    {
      return std::log (x) / M_LN2;
    }

    FloatComplex
    log2 (const FloatComplex& x)
    {
      return std::log (x) / static_cast<float> (M_LN2);
    }

    double
    log2 (double x, int& exp)
    {
      return frexp (x, &exp);
    }

    float
    log2 (float x, int& exp)
    {
      return frexp (x, &exp);
    }

    Complex
    log2 (const Complex& x, int& exp)
    {
      double ax = std::abs (x);
      double lax = log2 (ax, exp);
      return (ax != lax) ? (x / ax) * lax : x;
    }

    FloatComplex
    log2 (const FloatComplex& x, int& exp)
    {
      float ax = std::abs (x);
      float lax = log2 (ax, exp);
      return (ax != lax) ? (x / ax) * lax : x;
    }

    bool negative_sign (double x) { return __lo_ieee_signbit (x); }
    bool negative_sign (float x) { return __lo_ieee_float_signbit (x); }

    // Sometimes you need a large integer, but not always.

    octave_idx_type
    nint_big (double x)
    {
      if (x > std::numeric_limits<octave_idx_type>::max ())
        return std::numeric_limits<octave_idx_type>::max ();
      else if (x < std::numeric_limits<octave_idx_type>::min ())
        return std::numeric_limits<octave_idx_type>::min ();
      else
        return static_cast<octave_idx_type> ((x > 0.0) ? (x + 0.5)
                                                       : (x - 0.5));
    }

    octave_idx_type
    nint_big (float x)
    {
      if (x > std::numeric_limits<octave_idx_type>::max ())
        return std::numeric_limits<octave_idx_type>::max ();
      else if (x < std::numeric_limits<octave_idx_type>::min ())
        return std::numeric_limits<octave_idx_type>::min ();
      else
        return static_cast<octave_idx_type> ((x > 0.0f) ? (x + 0.5f)
                                                        : (x - 0.5f));
    }

    int
    nint (double x)
    {
      if (x > std::numeric_limits<int>::max ())
        return std::numeric_limits<int>::max ();
      else if (x < std::numeric_limits<int>::min ())
        return std::numeric_limits<int>::min ();
      else
        return static_cast<int> ((x > 0.0) ? (x + 0.5) : (x - 0.5));
    }

    int
    nint (float x)
    {
      if (x > std::numeric_limits<int>::max ())
        return std::numeric_limits<int>::max ();
      else if (x < std::numeric_limits<int>::min ())
        return std::numeric_limits<int>::min ();
      else
        return static_cast<int> ((x > 0.0f) ? (x + 0.5f) : (x - 0.5f));
    }

    Complex
    rc_acos (double x)
    {
      return fabs (x) > 1.0 ? acos (Complex (x)) : Complex (std::acos (x));
    }

    FloatComplex
    rc_acos (float x)
    {
      return fabsf (x) > 1.0f ? acos (FloatComplex (x))
                              : FloatComplex (std::acos (x));
    }

    Complex
    rc_acosh (double x)
    {
      return x < 1.0 ? acosh (Complex (x)) : Complex (acosh (x));
    }

    FloatComplex
    rc_acosh (float x)
    {
      return x < 1.0f ? acosh (FloatComplex (x)) : FloatComplex (acosh (x));
    }

    Complex
    rc_asin (double x)
    {
      return fabs (x) > 1.0 ? asin (Complex (x)) : Complex (std::asin (x));
    }

    FloatComplex
    rc_asin (float x)
    {
      return fabsf (x) > 1.0f ? asin (FloatComplex (x))
                              : FloatComplex (::asinf (x));
    }

    Complex
    rc_atanh (double x)
    {
      return fabs (x) > 1.0 ? atanh (Complex (x)) : Complex (atanh (x));
    }

    FloatComplex
    rc_atanh (float x)
    {
      return fabsf (x) > 1.0f ? atanh (FloatComplex (x))
                              : FloatComplex (atanh (x));
    }

    Complex
    rc_log (double x)
    {
      return x < 0.0 ? Complex (std::log (-x), M_PI) : Complex (std::log (x));
    }

    FloatComplex
    rc_log (float x)
    {
      return x < 0.0f ? FloatComplex (std::log (-x), static_cast<float> (M_PI))
                      : FloatComplex (std::log (x));
    }

    Complex
    rc_log2 (double x)
    {
      constexpr double PI_LN2 = 4.53236014182719380962;  // = pi / log(2)
      return x < 0.0 ? Complex (log2 (-x), PI_LN2) : Complex (log2 (x));
    }

    FloatComplex
    rc_log2 (float x)
    {
      constexpr float PI_LN2 = 4.53236014182719380962f;  // = pi / log(2)
      return x < 0.0f ? FloatComplex (log2 (-x), PI_LN2)
                      : FloatComplex (log2 (x));
    }

    Complex
    rc_log10 (double x)
    {
      constexpr double PI_LN10 = 1.36437635384184134748;  // = pi / log(10)
      return x < 0.0 ? Complex (log10 (-x), PI_LN10) : Complex (log10 (x));
    }

    FloatComplex
    rc_log10 (float x)
    {
      constexpr float PI_LN10 = 1.36437635384184134748f;  // = pi / log(10)
      return x < 0.0f ? FloatComplex (log10 (-x), PI_LN10)
                      : FloatComplex (log10f (x));
    }

    Complex
    rc_sqrt (double x)
    {
      return x < 0.0 ? Complex (0.0, std::sqrt (-x)) : Complex (std::sqrt (x));
    }

    FloatComplex
    rc_sqrt (float x)
    {
      return x < 0.0f ? FloatComplex (0.0f, std::sqrt (-x))
                      : FloatComplex (std::sqrt (x));
    }
  }
}
