text: /*
   * Copyright (c) 2006-2015, Visualization and Multimedia Lab,
   *                          University of Zurich <http://vmml.ifi.uzh.ch>,
   *                          Eyescale Software GmbH,
   *                          Blue Brain Project, EPFL
   *
   * This file is part of VMMLib <https://github.com/VMML/vmmlib/>
   *
   * Redistribution and use in source and binary forms, with or without
   * modification, are permitted provided that the following conditions are met:
   *
   * Redistributions of source code must retain the above copyright notice, this
   * list of conditions and the following disclaimer.  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.  Neither the name of the Visualization and Multimedia
   * Lab, University of Zurich 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 OWNER 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 VMMLIB__UTIL__HPP
  #define VMMLIB__UTIL__HPP
  
  #include "vector.hpp"
  #include "matrix.hpp"
  
  #include <algorithm>
  #include <limits>
  #include <cmath>
  
  namespace vmml
  {
  
  #define M_PI_F		3.14159265358979323846f
  #define M_PI_2_F	1.57079632679489661923f
  #define M_PI_3_F	1.04719755119659774615f
  #define M_PI_4_F	0.78539816339744830962f
  
  
  template< typename T, typename U >
  bool
  equals( T arg0, U arg1)
  {
      return fabs( arg0 - arg1 ) < std::numeric_limits< float >::epsilon();
  }
  
  
  // matrix convenience functions
  
  
  template< size_t M, size_t N, typename T >
  inline Matrix< M, N, T >
  create_translation( const Vector< M - 1, T > &arg )
  {
      Matrix< M, N, T > ret;
  	identity( ret );
  	ret.set_translation( arg );
  
  	return ret;
  }
  
  template< typename T >
  inline Matrix< 4, 4, T >
  create_translation( const Vector< 3, T > &arg )
  {
     return create_translation< 4, 4 >(arg);
  }
  
  template< size_t M, size_t N, typename T >
  inline void
  apply_translation( Matrix< M, N, T > &m, T t0, T t1, T t2 )
  {
      m *= create_translation< M, N, T >( Vector< M - 1, T >( t0, t1, t2 ) );
  }
  
  template< size_t M, size_t N, typename T >
  inline Matrix< M, N, T >
  create_rotation( T angle, const Vector< M - 1, T > &axis )
  {
      Matrix< M, N, T > ret;
  	identity( ret );
  	ret.rotate( angle, axis );
  
  	return ret;
  }
  
  template< typename T >
  inline Matrix< 4, 4, T >
  create_rotation( T angle, const Vector< 3, T > &axis )
  {
      return create_rotation< 4, 4 >( angle, axis );
  }
  
  template< size_t M, size_t N, typename T >
  inline void
  apply_rotation( Matrix< M, N, T > &m, T angle, T t0, T t1, T t2 )
  {
      m *= create_rotation< M, N, T >( angle, Vector< M - 1, T >( t0, t1, t2 ) );
  }
  
  template< size_t M, size_t N, typename T >
  inline Matrix< M, N, T >
  create_scaling( const Vector< N - 1, T > &arg )
  {
      Matrix< M, N, T > ret;
      identity(ret);
      ret.scale(arg);
  
      return ret;
  }
  
  template< typename T >
  inline Matrix< 4, 4, T >
  const
  create_scaling( const Vector< 3, T > &arg )
  {
      return create_scaling< 4, 4 >(arg);
  }
  
  template< typename T >
  inline Matrix< 4, 4, T >
  create_scaling( T arg )
  {
      return create_scaling< 4, 4 >( Vector< 3, T >( arg ) );
  }
  
  
  // vector convenience functions
  
  
  template< size_t M, typename T >
  inline void zero( Vector< M, T > &arg )
  {
  	std::fill( arg.begin(), arg.end(), 0 );
  }
  
  template< size_t M, typename T >
  Vector< M, T > min( const Vector< M, T > &arg0,  const Vector< M, T > &arg1 )
  {
      Vector< M, T > ret;
  
  	for( size_t i = 0; i < M; ++i )
          ret[i] = std::min( arg0[i], arg1[i] );
  
  	return ret;
  }
  
  template< size_t M, typename T >
  Vector< M, T > max( const Vector< M, T > &arg0,  const Vector< M, T > &arg1 )
  {
      Vector< M, T > ret;
  
  	for( size_t i = 0; i < M; ++i )
          ret[i] = std::max( arg0[i], arg1[i] );
  
  	return ret;
  }
  
  template< size_t M, typename T >
  T
  manhattan( const Vector< M, T > &arg )
  {
  	T ret = 0;
  	for( size_t i = 0; i < M; ++i )
  	{
  		ret += std::abs(arg[i]);
  	}
  
  	return ret;
  }
  
  } // namespace vmml
  
  #endif
  