///\file

/******************************************************************************
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Embedded Template Library.
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Copyright(c) 2025 John Wellbelove

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******************************************************************************/

#ifndef ETL_ROUNDED_INTEGRAL_DIVISION_INCLUDED
#define ETL_ROUNDED_INTEGRAL_DIVISION_INCLUDED

#include "platform.h"
#include "absolute.h"
#include "type_traits.h"
#include "utility.h"

namespace etl
{
  namespace private_rounded_integral_division
  {
    //*****************************************************************************
    // Checks if two values have the same sign.
    // For signed integral types.
    //*****************************************************************************
    template <typename T>
    ETL_CONSTEXPR typename etl::enable_if< etl::is_integral<T>::value && etl::is_signed<T>::value, bool>::type are_same_sign(T a, T b) ETL_NOEXCEPT
    {
      return ((a ^ b) >= 0);
    }

    //*****************************************************************************
    // Checks if two values have the same sign.
    // For unsigned integral types.
    //*****************************************************************************
    template <typename T>
    ETL_CONSTEXPR typename etl::enable_if< etl::is_integral<T>::value && etl::is_unsigned<T>::value, bool>::type are_same_sign(T /*a*/, T /*b*/)
      ETL_NOEXCEPT
    {
      return true;
    }
  } // namespace private_rounded_integral_division

  //***************************************************************************
  ///\brief Integral division with rounding to ceiling.
  /// For signed integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to ceiling.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_signed<T>::value, T>::type divide_round_to_ceiling(T numerator,
                                                                                                                              T denominator)
    ETL_NOEXCEPT
  {
    const T remainder = numerator % denominator;
    const T quotient  = numerator / denominator;

    // If remainder is zero, already exact
    if (remainder == 0)
    {
      return quotient;
    }

    // If signs are the same, increment quotient
    return private_rounded_integral_division::are_same_sign(numerator, denominator) ? quotient + 1 : quotient;
  }

  //***************************************************************************
  ///\brief Integral division with rounding to ceiling.
  /// For signed integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to ceiling.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_signed<T1>::value && etl::is_signed<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_to_ceiling(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_to_ceiling(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding to ceiling.
  /// For unsigned integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to ceiling.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_unsigned<T>::value, T>::type divide_round_to_ceiling(T numerator,
                                                                                                                                T denominator)
    ETL_NOEXCEPT
  {
    const T remainder = numerator % denominator;
    const T quotient  = numerator / denominator;

    // If remainder is zero, already exact, otherwise, increment quotient
    return remainder == 0U ? quotient : quotient + 1U;
  }

  //***************************************************************************
  ///\brief Integral division with rounding to ceiling.
  /// For unsigned integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to ceiling.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_unsigned<T1>::value && etl::is_unsigned<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_to_ceiling(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_to_ceiling(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding to floor.
  /// For signed integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to floor.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_signed<T>::value, T>::type divide_round_to_floor(T numerator,
                                                                                                                            T denominator)
    ETL_NOEXCEPT
  {
    const T remainder = numerator % denominator;
    const T quotient  = numerator / denominator;

    // If remainder is zero, already exact
    if (remainder == 0)
    {
      return quotient;
    }

    // If signs are different, decrement quotient
    return private_rounded_integral_division::are_same_sign(numerator, denominator) ? quotient : quotient - 1;
  }

  //***************************************************************************
  ///\brief Integral division with rounding to floor.
  /// For signed integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to floor.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_signed<T1>::value && etl::is_signed<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_to_floor(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_to_floor(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding to floor.
  /// For unsigned integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to floor.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_unsigned<T>::value, T>::type divide_round_to_floor(T numerator,
                                                                                                                              T denominator)
    ETL_NOEXCEPT
  {
    return numerator / denominator;
  }

  //***************************************************************************
  ///\brief Integral division with rounding to floor.
  /// For unsigned integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to floor.
  /// Return type is the etl::common_type<T1, T2>::type.
  /// //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_unsigned<T1>::value && etl::is_unsigned<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_to_floor(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    const type common_numerator   = numerator;
    const type common_denominator = denominator;

    return common_numerator / common_denominator;
  }

  //***************************************************************************
  ///\brief Integral division with rounding towards infinity.
  /// For signed integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to infinity.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_signed<T>::value, T>::type divide_round_to_infinity(T numerator,
                                                                                                                               T denominator)
    ETL_NOEXCEPT
  {
    const T remainder = numerator % denominator;
    const T quotient  = numerator / denominator;

    if (private_rounded_integral_division::are_same_sign(numerator, denominator))
    {
      // Same sign, round towards +infinity
      return (remainder != 0) ? quotient + 1 : quotient;
    }
    else
    {
      // Different signs, round towards -infinity
      return (remainder != 0) ? quotient - 1 : quotient;
    }
  }

  //***************************************************************************
  ///\brief Integral division with rounding towards infinity.
  /// For signed integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to infinity.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_signed<T1>::value && etl::is_signed<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_to_infinity(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_to_infinity(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding towards infinity.
  /// For unsigned integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to infinity.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_unsigned<T>::value, T>::type
    divide_round_to_infinity(T numerator, T denominator) ETL_NOEXCEPT
  {
    const T remainder = numerator % denominator;
    const T quotient  = numerator / denominator;

    return remainder ? quotient + 1U : quotient;
  }

  //***************************************************************************
  ///\brief Integral division with rounding towards infinity.
  /// For unsigned integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to infinity.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_unsigned<T1>::value && etl::is_unsigned<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_to_infinity(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_to_infinity(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding towards zero.
  /// For integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to zero.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_unsigned<T>::value, T>::type divide_round_to_zero(T numerator,
                                                                                                                             T denominator)
    ETL_NOEXCEPT
  {
    return numerator / denominator;
  }

  //***************************************************************************
  ///\brief Integral division with rounding towards zero.
  /// For integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to zero.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14 typename etl::enable_if<etl::is_integral<T1>::value && etl::is_integral<T2>::value, typename etl::common_type<T1, T2>::type>::type
    divide_round_to_zero(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    // Cast to common type to avoid overflow.
    const type common_numerator   = numerator;
    const type common_denominator = denominator;

    return common_numerator / common_denominator;
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half up.
  /// For signed integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half up.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_signed<T>::value, T>::type divide_round_half_up(T numerator,
                                                                                                                           T denominator)
    ETL_NOEXCEPT
  {
    // Normal division
    const T remainder = numerator % denominator;
    const T quotient  = numerator / denominator;

    // Work with magnitudes in unsigned form (avoids abs() overflow)
    typedef typename etl::make_unsigned<T>::type utype;
    utype                                        abs_remainder   = remainder < 0 ? utype(0) - utype(remainder) : utype(remainder);
    utype                                        abs_denominator = denominator < 0 ? utype(0) - utype(denominator) : utype(denominator);

    // Threshold for rounding up (half the denominatorominator, rounded up)
    utype half_denominator = (abs_denominator + 1) / 2;

    if (abs_remainder >= half_denominator)
    {
      // Round away from zero
      if (private_rounded_integral_division::are_same_sign(numerator, denominator))
      {
        return quotient + 1; // same sign ? increment
      }
      else
      {
        return quotient - 1; // different sign ? decrement
      }
    }

    return quotient;
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half up.
  /// For signed integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half up.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_signed<T1>::value && etl::is_signed<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_half_up(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_half_up(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half up.
  /// For unsigned integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half up.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_unsigned<T>::value, T>::type divide_round_half_up(T numerator,
                                                                                                                             T denominator)
    ETL_NOEXCEPT
  {
    const T remainder = numerator % denominator;
    const T quotient  = numerator / denominator;

    // If remainder is at least half the divisor, round up
    return (remainder >= (denominator / 2U) + (denominator % 2U)) ? quotient + 1U : quotient;
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half up.
  /// For unsigned integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half up.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_unsigned<T1>::value && etl::is_unsigned<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_half_up(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_half_up(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half down.
  /// For signed integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half down.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_signed<T>::value, T>::type divide_round_half_down(T numerator,
                                                                                                                             T denominator)
    ETL_NOEXCEPT
  {
    const T quotient  = numerator / denominator;
    const T remainder = numerator % denominator;

    typedef typename etl::make_unsigned<T>::type utype;
    const utype                                  abs_denominator = etl::absolute_unsigned(denominator);
    const utype                                  abs_remainder   = etl::absolute_unsigned(remainder);

    // Direction: +1 if result should be more positive, -1 if more negative
    const T direction = private_rounded_integral_division::are_same_sign(numerator, denominator) ? 1 : -1;

    // Only round away from zero if remainder is strictly greater than half the
    // divisor
    return abs_remainder > (abs_denominator / 2U) ? quotient + direction : quotient;
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half down.
  /// For signed integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half down.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_signed<T1>::value && etl::is_signed<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_half_down(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_half_down(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half down.
  /// For unsigned integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half down.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_unsigned<T>::value, T>::type divide_round_half_down(T numerator,
                                                                                                                               T denominator)
    ETL_NOEXCEPT
  {
    const T remainder = numerator % denominator;
    const T quotient  = numerator / denominator;

    // If remainder is at least half the divisor, round down
    return (remainder > (denominator / 2U)) ? quotient + 1U : quotient;
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half down.
  /// For unsigned integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half down.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_unsigned<T1>::value && etl::is_unsigned<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_half_down(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_half_down(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half even.
  /// For signed integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half even.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_signed<T>::value, T>::type divide_round_half_even(T numerator,
                                                                                                                             T denominator)
    ETL_NOEXCEPT
  {
    const T quotient  = numerator / denominator;
    const T remainder = numerator % denominator;
    const T direction = ((numerator >= 0) == (denominator >= 0)) ? 1 : -1;

    // Work with magnitudes in unsigned form (avoids abs() overflow for
    // T::min()).
    typedef typename std::make_unsigned<T>::type utype;
    const utype                                  abs_denominator  = (denominator < 0) ? (utype(0) - utype(denominator)) : utype(denominator);
    const utype                                  abs_remainder    = (remainder < 0) ? (utype(0) - utype(remainder)) : utype(remainder);
    const utype                                  half_denominator = abs_denominator / 2U;

    // Compare without `* 2` to avoid unsigned overflow.
    if ((abs_denominator & 1U) == 0U)
    {
      // Even denominator: can be exactly half.
      if (abs_remainder < half_denominator)
      {
        return quotient;
      }
      else if (abs_remainder > half_denominator)
      {
        return quotient + direction;
      }
      else
      {
        // Exactly halfway, round to even
        return (quotient & 1) == 0 ? quotient : quotient + direction;
      }
    }
    else
    {
      // Odd denominator: no exact half case.
      return (abs_remainder <= half_denominator) ? quotient : (quotient + direction);
    }
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half even.
  /// For signed integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half even.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_signed<T1>::value && etl::is_signed<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_half_even(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_half_even(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half even.
  /// For unsigned integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half even.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_unsigned<T>::value, T>::type divide_round_half_even(T numerator,
                                                                                                                               T denominator)
    ETL_NOEXCEPT
  {
    const T quotient  = numerator / denominator;
    const T remainder = numerator % denominator;

    if ((remainder * 2U) < denominator)
    {
      // Less than halfway, round down
      return quotient;
    }
    else if ((remainder * 2U) > denominator)
    {
      // More than halfway, round up
      return quotient + 1U;
    }
    else
    {
      // Exactly halfway, round to even
      return (quotient & 1U) == 0U ? quotient : quotient + 1;
    }
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half even.
  /// For unsigned integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half even.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_unsigned<T1>::value && etl::is_unsigned<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_half_even(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_half_even(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half odd.
  /// For signed integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half odd.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_signed<T>::value, T>::type divide_round_half_odd(T numerator,
                                                                                                                            T denominator)
    ETL_NOEXCEPT
  {
    const T quotient  = numerator / denominator;
    const T remainder = numerator % denominator;

    typedef typename etl::make_unsigned<T>::type utype;
    const utype                                  abs_denominator = etl::absolute_unsigned(denominator);
    const utype                                  abs_remainder   = etl::absolute_unsigned(remainder);
    const utype                                  half            = abs_denominator / 2U;
    const T                                      direction       = private_rounded_integral_division::are_same_sign(numerator, denominator) ? 1 : -1;

    // Odd divisor => no exact-half case; 'half' is floor(abs_denominator/2).
    if ((abs_denominator & 1U) != 0U)
    {
      return (abs_remainder > half) ? quotient + direction : quotient;
    }

    if (abs_remainder < half)
    {
      return quotient;
    }
    else if (abs_remainder > half)
    {
      return quotient + direction;
    }
    else
    {
      // Exactly halfway, round to odd
      return (quotient & 1) != 0 ? quotient : quotient + direction;
    }
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half odd.
  /// For signed integral types.
  /// For different parameter types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half odd.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_signed<T1>::value && etl::is_signed<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_half_odd(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_half_odd(static_cast<type>(numerator), static_cast<type>(denominator));
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half odd.
  /// For unsigned integral types.
  /// For identical argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half odd.
  //***************************************************************************
  template <typename T>
  ETL_CONSTEXPR14 typename etl::enable_if< etl::is_integral<T>::value && etl::is_unsigned<T>::value, T>::type divide_round_half_odd(T numerator,
                                                                                                                              T denominator)
    ETL_NOEXCEPT
  {
    const T quotient  = numerator / denominator;
    const T remainder = numerator % denominator;

    if ((remainder * 2U) < denominator)
    {
      return quotient;
    }
    else if ((remainder * 2U) > denominator)
    {
      return quotient + 1U;
    }
    else
    {
      // Exactly halfway, round to odd
      return (quotient & 1U) != 0U ? quotient : quotient + 1U;
    }
  }

  //***************************************************************************
  ///\brief Integral division with rounding to half odd.
  /// For unsigned integral types.
  /// For different argument types.
  ///\param numerator The numerator.
  ///\param denominator The denominator.
  ///\return The result of the division rounded to half odd.
  /// Return type is the etl::common_type<T1, T2>::type.
  //***************************************************************************
  template <typename T1, typename T2>
  ETL_CONSTEXPR14
    typename etl::enable_if< etl::is_integral<T1>::value && etl::is_integral<T2>::value && etl::is_unsigned<T1>::value && etl::is_unsigned<T2>::value,
                             typename etl::common_type<T1, T2>::type>::type
    divide_round_half_odd(T1 numerator, T2 denominator) ETL_NOEXCEPT
  {
    typedef typename etl::common_type<T1, T2>::type type;

    return divide_round_half_odd(static_cast<type>(numerator), static_cast<type>(denominator));
  }
} // namespace etl

#endif
