projections4MultiDim_tpl.h

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/***************************************************************************
 *   Copyright (C) 2005 by Pierre-Henri WUILLEMIN et Christophe GONZALES   *
 *   {prenom.nom}_at_lip6.fr                                               *
 *                                                                         *
 *   This program 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 2 of the License, or     *
 *   (at your option) any later version.                                   *
 *                                                                         *
 *   This program 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 this program; if not, write to the                         *
 *   Free Software Foundation, Inc.,                                       *
 *   59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.             *
 ***************************************************************************/
#ifndef DOXYGEN_SHOULD_SKIP_THIS

// allow projectionPatterns to be used
#  define GUM_PROJECTION_PATTERN_ALLOWED 1

#  include <agrum/core/functors.h>
#  include <agrum/multidim/utils/operators/projectionRegister4MultiDim.h>

// a specialized max projection function for multiDimArrays

#  define GUM_MULTI_DIM_PROJECTION_NAME projectMaxMultiDimArray
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) \
    if (y > x) x = y
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::min()
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_IMPL2ARRAY_NAME projectMaxMultiDimArray
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) \
    if (y > x) x = y
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::min()
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_IMPL2ARRAY_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_POINTER_NAME projectMaxMultiDimArray4Pointers
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) \
    if (*(y) > *(x)) *(x) = *(y)
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::min()
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_POINTER_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_POINTER_IMPL2ARRAY_NAME \
    projectMaxMultiDimArray4Pointers
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) \
    if (*(y) > *(x)) *(x) = *(y)
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::min()
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_POINTER_IMPL2ARRAY_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

// a specialized min projection function for multiDimArrays

#  define GUM_MULTI_DIM_PROJECTION_NAME projectMinMultiDimArray
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) \
    if (x > y) x = y
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::max()
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_IMPL2ARRAY_NAME projectMinMultiDimArray
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) \
    if (x > y) x = y
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::max()
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_IMPL2ARRAY_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_POINTER_NAME projectMinMultiDimArray4Pointers
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) \
    if (*(x) > *(y)) *(x) = *(y)
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::max()
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_POINTER_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_POINTER_IMPL2ARRAY_NAME \
    projectMinMultiDimArray4Pointers
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) \
    if (*(x) > *(y)) *(x) = *(y)
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::max()
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_POINTER_IMPL2ARRAY_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

// a specialized sum projection function for multiDimArrays

#  define GUM_MULTI_DIM_PROJECTION_NAME projectSumMultiDimArray
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) x += y
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)0
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_IMPL2ARRAY_NAME projectSumMultiDimArray
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) x += y
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)0
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_IMPL2ARRAY_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_POINTER_NAME projectSumMultiDimArray4Pointers
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) *(x) += *(y)
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)0
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_POINTER_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_POINTER_IMPL2ARRAY_NAME \
    projectSumMultiDimArray4Pointers
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) *(x) += *(y)
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)0
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_POINTER_IMPL2ARRAY_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

// a specialized product projection function for multiDimArrays

#  define GUM_MULTI_DIM_PROJECTION_NAME projectProductMultiDimArray
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) (x) *= (y)
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)1
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_IMPL2ARRAY_NAME projectProductMultiDimArray
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) (x) *= (y)
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)1
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_IMPL2ARRAY_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_POINTER_NAME \
    projectProductMultiDimArray4Pointers
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) (*x) *= (*y)
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)1
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_POINTER_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_POINTER_IMPL2ARRAY_NAME \
    projectProductMultiDimArray4Pointers
#  define GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  define GUM_MULTI_DIM_PROJECTION(x, y) (*x) *= (*y)
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)1
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#  undef GUM_MULTI_DIM_PROJECTION_POINTER_IMPL2ARRAY_NAME
#  undef GUM_MULTI_DIM_PROJECTION_EFFECTIVE_TYPE
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

// a specialized max projection function for multiDimFunctionGraphs

#  define GUM_MULTI_DIM_PROJECTION_OPERATOR Maximizes
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL \
    (-1 * std::numeric_limits< GUM_SCALAR >::max())

#  define GUM_MULTI_DIM_PROJECTION_NAME projectMaxMultiDimFunctionGraph
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimFunctionGraph.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME

#  define GUM_MULTI_DIM_PROJECTION_IMPL2DECISION_GRAPH_NAME \
    projectMaxMultiDimFunctionGraph
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimFunctionGraph.h>
#  undef GUM_MULTI_DIM_PROJECTION_IMPL2DECISION_GRAPH_NAME

#  undef GUM_MULTI_DIM_PROJECTION_OPERATOR
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

// a specialized min projection function for multiDimFunctionGraphs

#  define GUM_MULTI_DIM_PROJECTION_OPERATOR Minimizes
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::max()

#  define GUM_MULTI_DIM_PROJECTION_NAME projectMinMultiDimFunctionGraph
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimFunctionGraph.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME

#  define GUM_MULTI_DIM_PROJECTION_IMPL2DECISION_GRAPH_NAME \
    projectMinMultiDimFunctionGraph
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimFunctionGraph.h>
#  undef GUM_MULTI_DIM_PROJECTION_IMPL2DECISION_GRAPH_NAME

#  undef GUM_MULTI_DIM_PROJECTION_OPERATOR
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

// a specialized sum projection function for multiDimFunctionGraphs

#  define GUM_MULTI_DIM_PROJECTION_OPERATOR std::plus
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)0

#  define GUM_MULTI_DIM_PROJECTION_NAME projectSumMultiDimFunctionGraph
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimFunctionGraph.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME

#  define GUM_MULTI_DIM_PROJECTION_IMPL2DECISION_GRAPH_NAME \
    projectSumMultiDimFunctionGraph
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimFunctionGraph.h>
#  undef GUM_MULTI_DIM_PROJECTION_IMPL2DECISION_GRAPH_NAME

#  undef GUM_MULTI_DIM_PROJECTION_OPERATOR
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

// a specialized product projection function for multiDimFunctionGraphs

#  define GUM_MULTI_DIM_PROJECTION_OPERATOR std::multiplies
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)1

#  define GUM_MULTI_DIM_PROJECTION_NAME projectProductMultiDimFunctionGraph
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimFunctionGraph.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME

#  define GUM_MULTI_DIM_PROJECTION_IMPL2DECISION_GRAPH_NAME \
    projectProductMultiDimFunctionGraph
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimFunctionGraph.h>
#  undef GUM_MULTI_DIM_PROJECTION_IMPL2DECISION_GRAPH_NAME

#  undef GUM_MULTI_DIM_PROJECTION_OPERATOR
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

// a specialized function for functionally projecting a multiDimArray

/*
#define GUM_MULTI_DIM_PROJECTION_NAME_F projectFuncMultiDimArray
#define GUM_MULTI_DIM_PROJECTION(x,y) f( (x),(y) )
#define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR) 0
#include <agrum/multidim/utils/patterns/projectionPattern4MultiDimArray.h>
#undef GUM_MULTI_DIM_PROJECTION_NAME_F
#undef GUM_MULTI_DIM_PROJECTION
*/

// the operators that should be used to select appropriately the functions
// to project multiDims

// the function to be used to project a MultiDimImplementation using a Max
#  define GUM_MULTI_DIM_PROJECTION_NAME projectMax
#  define GUM_MULTI_DIM_PROJECTION_FUNC_NAME "max"
#  define GUM_MULTI_DIM_SYMMETRIC_PROJECTION
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimImplementation.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION_FUNC_NAME
#  undef GUM_MULTI_DIM_SYMMETRIC_PROJECTION

// the function to be used to project a MultiDimImplementation using a Min
#  define GUM_MULTI_DIM_PROJECTION_NAME projectMin
#  define GUM_MULTI_DIM_PROJECTION_FUNC_NAME "min"
#  define GUM_MULTI_DIM_SYMMETRIC_PROJECTION
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimImplementation.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION_FUNC_NAME
#  undef GUM_MULTI_DIM_SYMMETRIC_PROJECTION

// the function to be used to project a MultiDimImplementation using a Sum
#  define GUM_MULTI_DIM_PROJECTION_NAME projectSum
#  define GUM_MULTI_DIM_PROJECTION_FUNC_NAME "sum"
#  define GUM_MULTI_DIM_SYMMETRIC_PROJECTION
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimImplementation.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION_FUNC_NAME
#  undef GUM_MULTI_DIM_SYMMETRIC_PROJECTION

// the function to be used to project a MultiDimImplementation using a Product
#  define GUM_MULTI_DIM_PROJECTION_NAME projectProduct
#  define GUM_MULTI_DIM_PROJECTION_FUNC_NAME "product"
#  define GUM_MULTI_DIM_SYMMETRIC_PROJECTION
#  include <agrum/multidim/utils/patterns/projectionPattern4MultiDimImplementation.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION_FUNC_NAME
#  undef GUM_MULTI_DIM_SYMMETRIC_PROJECTION

// default "basename" functions for projecting MultiDimImplementations

#  define GUM_MULTI_DIM_PROJECTION_NAME projectMaxMultiDimImplementation
#  define GUM_MULTI_DIM_PROJECTION(x, y) ((x) > (y) ? (x) : (y))
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::min()
#  include <agrum/multidim/utils/patterns/projectionPattern4BaseName.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_NAME projectMinMultiDimImplementation
#  define GUM_MULTI_DIM_PROJECTION(x, y) ((x) > (y) ? (y) : (x))
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL std::numeric_limits< GUM_SCALAR >::max()
#  include <agrum/multidim/utils/patterns/projectionPattern4BaseName.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_NAME projectSumMultiDimImplementation
#  define GUM_MULTI_DIM_PROJECTION(x, y) ((x) + (y))
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)0
#  include <agrum/multidim/utils/patterns/projectionPattern4BaseName.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

#  define GUM_MULTI_DIM_PROJECTION_NAME projectProductMultiDimImplementation
#  define GUM_MULTI_DIM_PROJECTION(x, y) ((x) * (y))
#  define GUM_MULTI_DIM_PROJECTION_NEUTRAL (GUM_SCALAR)1
#  include <agrum/multidim/utils/patterns/projectionPattern4BaseName.h>
#  undef GUM_MULTI_DIM_PROJECTION_NAME
#  undef GUM_MULTI_DIM_PROJECTION
#  undef GUM_MULTI_DIM_PROJECTION_NEUTRAL

//
// DO NOT FORGET TO REGISTER YOUR BINARY FUNCTIONS
//

namespace gum {
  // the function used to register all the above functions
  template < typename GUM_SCALAR >
  void projections4MultiDimInit() {
    static bool first_init = true;

    if (first_init) {
      first_init = false;

      std::string MultiDimArrayString("MultiDimArray");
      std::string MultiDimFunctionGraphString("MultiDimFunctionGraph");
      std::string BaseNameString("MultiDimImplementation");

      // register base functions for multiDimArrays
      registerProjection< GUM_SCALAR >(
         "max", MultiDimArrayString, &projectMaxMultiDimArray);
      registerProjection< GUM_SCALAR >(
         "min", MultiDimArrayString, &projectMinMultiDimArray);
      registerProjection< GUM_SCALAR >(
         "sum", MultiDimArrayString, &projectSumMultiDimArray);
      registerProjection< GUM_SCALAR >(
         "product", MultiDimArrayString, &projectProductMultiDimArray);

      // register base functions for multiDimArrays
      registerProjection< GUM_SCALAR >(
         "max", MultiDimFunctionGraphString, &projectMaxMultiDimFunctionGraph);
      registerProjection< GUM_SCALAR >(
         "min", MultiDimFunctionGraphString, &projectMinMultiDimFunctionGraph);
      registerProjection< GUM_SCALAR >(
         "sum", MultiDimFunctionGraphString, &projectSumMultiDimFunctionGraph);
      registerProjection< GUM_SCALAR >("product",
                                       MultiDimFunctionGraphString,
                                       &projectProductMultiDimFunctionGraph);

      // register default basename functions
      registerProjection< GUM_SCALAR >(
         "max", BaseNameString, &projectMaxMultiDimImplementation);
      registerProjection< GUM_SCALAR >(
         "min", BaseNameString, &projectMinMultiDimImplementation);
      registerProjection< GUM_SCALAR >(
         "sum", BaseNameString, &projectSumMultiDimImplementation);
      registerProjection< GUM_SCALAR >(
         "product", BaseNameString, &projectProductMultiDimImplementation);
    }
  }

  // the function used to register all the above functions
  template < typename GUM_SCALAR >
  void pointerProjections4MultiDimInit() {
    static bool first_init = true;

    if (first_init) {
      first_init = false;

      std::string MultiDimArrayString("MultiDimArray");
      std::string BaseNameString("MultiDimImplementation");

      // register base functions for multiDimArrays
      registerProjection< GUM_SCALAR* >(
         "max", MultiDimArrayString, &projectMaxMultiDimArray4Pointers);
      registerProjection< GUM_SCALAR* >(
         "min", MultiDimArrayString, &projectMinMultiDimArray4Pointers);
      registerProjection< GUM_SCALAR* >(
         "sum", MultiDimArrayString, &projectSumMultiDimArray4Pointers);
      registerProjection< GUM_SCALAR* >(
         "product", MultiDimArrayString, &projectProductMultiDimArray4Pointers);
    }
  }

} /* namespace gum */

// remove permission to use operatorsPatterns
#  undef GUM_PROJECTION_PATTERN_ALLOWED

#endif /* DOXYGEN_SHOULD_SKIP_THIS */