text: //=================================================================================================
  /*!
  //  \file blaze/math/shims/Conjugate.h
  //  \brief Header file for the conjugate shim
  //
  //  Copyright (C) 2012-2019 Klaus Iglberger - All Rights Reserved
  //
  //  This file is part of the Blaze library. You can redistribute it and/or modify it under
  //  the terms of the New (Revised) BSD License. Redistribution and use in source and binary
  //  forms, with or without modification, are permitted provided that the following conditions
  //  are met:
  //
  //  1. Redistributions of source code must retain the above copyright notice, this list of
  //     conditions and the following disclaimer.
  //  2. Redistributions in binary form must reproduce the above copyright notice, this list
  //     of conditions and the following disclaimer in the documentation and/or other materials
  //     provided with the distribution.
  //  3. Neither the names of the Blaze development group nor the names of its contributors
  //     may be used to endorse or promote products derived from this software without specific
  //     prior written permission.
  //
  //  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
  //  EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
  //  OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
  //  SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
  //  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
  //  TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
  //  BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
  //  CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
  //  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
  //  DAMAGE.
  */
  //=================================================================================================
  
  #ifndef _BLAZE_MATH_SHIMS_CONJUGATE_H_
  #define _BLAZE_MATH_SHIMS_CONJUGATE_H_
  
  
  //*************************************************************************************************
  // Includes
  //*************************************************************************************************
  
  #include <utility>
  #include <blaze/system/Inline.h>
  #include <blaze/util/DisableIf.h>
  #include <blaze/util/EnableIf.h>
  #include <blaze/util/typetraits/IsBuiltin.h>
  #include <blaze/util/typetraits/IsNumeric.h>
  
  
  namespace blaze {
  
  //=================================================================================================
  //
  //  CONJ SHIM
  //
  //=================================================================================================
  
  //*************************************************************************************************
  /*!\brief Computing the conjugate of the given value/object.
  // \ingroup math_shims
  //
  // \param a The given value/object.
  // \return The complex conjugate of the given value.
  //
  // The \a conj shim represents an abstract interface for the computation of the complex conjugate
  // of any given data type. In case the given value is of complex type the function computes the
  // complex conjugate by reversing the sign of the imaginary part:
  
     \code
     const blaze::complex<double> a( 1.0, 2.0 );
     const blaze::complex<double> b( conj( a ) );  // Results in ( 1, -2 )
     \endcode
  
  // Values of other data types, such as all built-in data types, are considered complex numbers
  // with an imaginary part of 0. Thus the returned value corresponds to the given value. For more
  // information on complex conjugates, see
  //
  //       https://en.wikipedia.org/wiki/Complex_conjugate
  */
  template< typename T >
  BLAZE_ALWAYS_INLINE constexpr EnableIf_t< IsBuiltin_v<T>, T > conj( T a ) noexcept
  {
     return a;
  }
  //*************************************************************************************************
  
  
  
  
  //=================================================================================================
  //
  //  CONJUGATE SHIM
  //
  //=================================================================================================
  
  //*************************************************************************************************
  /*!\brief In-place conjugation of the given value/object.
  // \ingroup math_shims
  //
  // \param a The given value/object to be conjugated.
  // \return void
  //
  // The \a conjugate shim represents an abstract interface for the in-place conjugation of any
  // given value/object. In case the given value is of complex type the function computes the
  // complex conjugate by reversing the sign of the imaginary part:
  
     \code
     blaze::complex<double> a( 1.0, 2.0 );
     conjugate( a );  // Results in ( 1, -2 )
     \endcode
  
  // Values of other data types, such as all built-in data types, are considered complex numbers
  // with an imaginary part of 0. Thus the returned value corresponds to the given value. For more
  // information on complex conjugates, see
  //
  //       https://en.wikipedia.org/wiki/Complex_conjugate
  */
  template< typename T >
  BLAZE_ALWAYS_INLINE void conjugate( T& a ) noexcept( IsNumeric_v<T> )
  {
     a = conj( a );
  }
  //*************************************************************************************************
  
  
  
  
  //=================================================================================================
  //
  //  CSWAP SHIM
  //
  //=================================================================================================
  
  //*************************************************************************************************
  /*! \cond BLAZE_INTERNAL */
  /*!\brief Backend function of the \a cswap function for non-numeric data types.
  // \ingroup math_shims
  //
  // \param a The first value/object to be swapped and conjugated.
  // \param b The second value/object to be swapped and conjugated.
  // \return void
  */
  template< typename T >
  BLAZE_ALWAYS_INLINE DisableIf_t< IsNumeric_v<T> > cswap_backend( T& a, T& b )
  {
     using std::swap;
  
     swap( a, b );
     conjugate( a );
     conjugate( b );
  }
  /*! \endcond */
  //*************************************************************************************************
  
  
  //*************************************************************************************************
  /*! \cond BLAZE_INTERNAL */
  /*!\brief Backend function of the \a cswap function for numeric data types.
  // \ingroup math_shims
  //
  // \param a The first value to be swapped and conjugated.
  // \param b The second value to be swapped and conjugated.
  // \return void
  */
  template< typename T >
  BLAZE_ALWAYS_INLINE EnableIf_t< IsNumeric_v<T> > cswap_backend( T& a, T& b ) noexcept
  {
     const T tmp( a );
     a = conj( b );
     b = conj( tmp );
  }
  /*! \endcond */
  //*************************************************************************************************
  
  
  //*************************************************************************************************
  /*!\brief Swapping two conjugated values/objects.
  // \ingroup math_shims
  //
  // \param a The first value/object to be swapped and conjugated.
  // \param b The second value/object to be swapped and conjugated.
  // \return void
  //
  // The \a cswap shim implements the most efficient way to swap and conjugate two values/objects.
  // Semantically \a cswap is equivalent to the following sequence of operations:
  
     \code
     swap( a, b );
     conjugate( a );
     conjugate( b );
     \endcode
  */
  template< typename T >
  BLAZE_ALWAYS_INLINE void cswap( T& a, T& b ) noexcept( IsNumeric_v<T> )
  {
     cswap_backend( a, b );
  }
  //*************************************************************************************************
  
  } // namespace blaze
  
  #endif
  