gradient1D.h

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/* Copyright (c) 2008-2022 the MRtrix3 contributors.
 *
 * This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at http://mozilla.org/MPL/2.0/.
 *
 * Covered Software is provided under this License on an "as is"
 * basis, without warranty of any kind, either expressed, implied, or
 * statutory, including, without limitation, warranties that the
 * Covered Software is free of defects, merchantable, fit for a
 * particular purpose or non-infringing.
 * See the Mozilla Public License v. 2.0 for more details.
 *
 * For more details, see http://www.mrtrix.org/.
 */
 
#ifndef __image_adapter_gradient1D_h__
#define __image_adapter_gradient1D_h__
 
#include "adapter/base.h"
 
namespace MR
{
  namespace Adapter
  {
 
    template <class ImageType>
      class Gradient1D : 
        public Base<Gradient1D<ImageType>, ImageType> 
    { MEMALIGN (Gradient1D<ImageType>)
      public:
 
        using base_type = Base<Gradient1D<ImageType>, ImageType>;
        using value_type = typename ImageType::value_type;
 
        using base_type::name;
        using base_type::size;
        using base_type::spacing;
        using base_type::index;
 
 
        Gradient1D (const ImageType& parent,
                    size_t axis = 0,
                    bool wrt_spacing = false) :
          base_type (parent),
          axis (axis),
          wrt_spacing (wrt_spacing),
          derivative_weights (3, 1.0),
          half_derivative_weights (3, 0.5)  {
            if (wrt_spacing) {
              for (size_t dim = 0; dim < 3; ++dim) {
                derivative_weights[dim] /= spacing(dim);
                half_derivative_weights[dim] /= spacing(dim);
              }
            }  
          }
 
        void set_axis (size_t val)
        {
          axis = val;
        }
 
        value_type value ()
        {
          const ssize_t pos = index (axis);
          result = 0.0;
 
          if (pos == 0) {
            result = base_type::value();
            index (axis) = pos + 1;
            result = derivative_weights[axis] * (base_type::value() - result);
          } else if (pos == size(axis) - 1) {
            result = base_type::value();
            index (axis) = pos - 1;
            result = derivative_weights[axis] * (result - base_type::value());
          } else {
            index (axis) = pos + 1;
            result = base_type::value();
            index (axis) = pos - 1;
            result = half_derivative_weights[axis] * (result - base_type::value());
          }
          index (axis) = pos;
 
          return result;
        }
 
 
      protected:
        size_t axis;
        value_type result;
        const bool wrt_spacing;
        vector<value_type> derivative_weights;
        vector<value_type> half_derivative_weights;
      };
  }
}
 
 
#endif