/*=========================================================================

  Program:   Visualization Toolkit
  Module:    vtkSparseArray.h

-------------------------------------------------------------------------
  Copyright 2008 Sandia Corporation.
  Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
  the U.S. Government retains certain rights in this software.
-------------------------------------------------------------------------

  Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
  All rights reserved.
  See Copyright.txt or http://www.kitware.com/Copyright.htm for details.

     This software is distributed WITHOUT ANY WARRANTY; without even
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
     PURPOSE.  See the above copyright notice for more information.

=========================================================================*/

// .NAME vtkSparseArray - Sparse, independent coordinate storage for N-way arrays.
//
// .SECTION Description
// vtkSparseArray is a concrete vtkArray implementation that stores values using
// sparse independent coordinate storage.  This means that the array stores the
// complete set of coordinates and the value for each non-null value in the array.
// While this approach requires slightly more storage than other sparse storage
// schemes (such as Compressed-Row or Compressed-Column), it is easier and more
// efficient to work with when implementing algorithms, and  it generalizes well
// for arbitrary numbers of dimensions.
//
// In addition to the value retrieval and update methods provided by vtkTypedArray,
// vtkSparseArray provides methods to:
//
// Get and set a special 'null' value that will be returned when retrieving values
// for undefined coordinates.
//
// Clear the contents of the array so that every set of coordinates is undefined.
//
// Sort the array contents so that value coordinates can be visited in a specific order.
//
// Retrieve pointers to the value- and coordinate-storage memory blocks.
//
// Reserve storage for a specific number of non-null values, for efficiency when the
// number of non-null values is known in advance.
//
// Recompute the array extents so that they bound the largest set of non-NULL values
// along each dimension.
//
// Specify arbitrary array extents.
//
// Add values to the array in amortized-constant time.
//
// Validate that the array does not contain duplicate coordinates.
//
// .SECTION See Also
// vtkArray, vtkTypedArray, vtkDenseArray
//
// .SECTION Thanks
// Developed by Timothy M. Shead (tshead@sandia.gov) at Sandia National Laboratories.

#ifndef __vtkSparseArray_h
#define __vtkSparseArray_h

#include "vtkArrayCoordinates.h"
#include "vtkArraySort.h"
#include "vtkObjectFactory.h"
#include "vtkTypeTemplate.h"
#include "vtkTypedArray.h"

template<typename T>
class vtkSparseArray :
  public vtkTypeTemplate<vtkSparseArray<T>, vtkTypedArray<T> >
{
public:
  static vtkSparseArray<T>* New();
  void PrintSelf(ostream &os, vtkIndent indent);

  typedef typename vtkArray::CoordinateT CoordinateT;
  typedef typename vtkArray::DimensionT DimensionT;
  typedef typename vtkArray::SizeT SizeT;

  // vtkArray API
  bool IsDense();
  const vtkArrayExtents& GetExtents();
  SizeT GetNonNullSize();
  void GetCoordinatesN(const SizeT n, vtkArrayCoordinates& coordinates);
  vtkArray* DeepCopy();

  // vtkTypedArray API
  const T& GetValue(CoordinateT i);
  const T& GetValue(CoordinateT i, CoordinateT j);
  const T& GetValue(CoordinateT i, CoordinateT j, CoordinateT k);
  const T& GetValue(const vtkArrayCoordinates& coordinates);
  const T& GetValueN(const SizeT n);
  void SetValue(CoordinateT i, const T& value);
  void SetValue(CoordinateT i, CoordinateT j, const T& value);
  void SetValue(CoordinateT i, CoordinateT j, CoordinateT k, const T& value);
  void SetValue(const vtkArrayCoordinates& coordinates, const T& value);
  void SetValueN(const SizeT n, const T& value);

  // vtkSparseArray API

  // Description:
  // Set the value that will be returned by GetValue() for NULL areas of the array.
  void SetNullValue(const T& value);

  // Description:
  // Returns the value that will be returned by GetValue() for NULL areas of the array.
  const T& GetNullValue();

  // Description:
  // Remove all non-null elements from the array, leaving the number of dimensions, the
  // extent of each dimension, and the label for each dimension unchanged.
  void Clear();

  // Description:
  // Sorts array values so that their coordinates appear in some well-defined order.
  // The supplied vtkArraySort object controls which dimensions are sorted, and in what
  // order, and should contain one-or-more sort dimensions, up to the number of dimensions
  // stored in the array.
  void Sort(const vtkArraySort& sort);

  // Description:
  // Returns the set of unique coordinates along the given dimension.
  std::vector<CoordinateT> GetUniqueCoordinates(DimensionT dimension);

  // Description:
  // Return a read-only reference to the underlying coordinate storage.  Coordinates
  // for each dimension are stored contiguously as a one-dimensional array.  The ordering
  // of coordinates within the array depends on the order in which values were added to
  // the array.
  const CoordinateT* GetCoordinateStorage(DimensionT dimension) const;

  // Description:
  // Return a mutable reference to the underlying coordinate storage.  Coordinates
  // for each dimension are stored contiguously as a one-dimensional array.  The ordering
  // of coordinates within the array depends on the order in which values were added to
  // the array, and any subsequent sorting.  Use at your own risk!
  CoordinateT* GetCoordinateStorage(DimensionT dimension);

  // Description:
  // Return a read-only reference to the underlying value storage.  Values are stored
  // contiguously, but in arbitrary order.  Use GetCoordinateStorage() if you need to
  // get the corresponding coordinates for a value.
  const T* GetValueStorage() const;

  // Description:
  // Return a mutable reference to the underlying value storage.  Values are stored
  // contiguously, but in arbitrary order.  Use GetCoordinateStorage() if you need to
  // get the corresponding coordinates for a value.  Use at your own risk!
  T* GetValueStorage();

  // Description:
  // Reserve storage for a specific number of values.  This is useful for reading external
  // data using GetCoordinateStorage() and GetValueStorage(), when the total
  // number of non-NULL values in the array can be determined in advance.  Note that after
  // calling ReserveStorage(), all coordinates and values will be undefined, so you must
  // ensure that every set of coordinates and values is overwritten.  It is the caller's
  // responsibility to ensure that duplicate coordinates are not inserted into the array.
  void ReserveStorage(const SizeT value_count);

  // Description:
  // Update the array extents to match its contents, so that the extent along each dimension
  // matches the maximum index value along that dimension.
  void SetExtentsFromContents();
  // Description:
  // Specify arbitrary array extents, without altering the contents of the array.  Note
  // that the extents must be as-large-or-larger-than the extents of the actual values
  // stored in the array.  The number of dimensions in the supplied extents must match the
  // number of dimensions currently stored in the array.
  void SetExtents(const vtkArrayExtents& extents);

  // Description:
  // Adds a new non-null element to the array.  Does not test to see if an element with
  // matching coordinates already exists.  Useful for providing fast initialization of the
  // array as long as the caller is prepared to guarantee that no duplicate coordinates are
  // ever used.
  inline void AddValue(CoordinateT i, const T& value);
  inline void AddValue(CoordinateT i, CoordinateT j, const T& value);
  inline void AddValue(CoordinateT i, CoordinateT j, CoordinateT k, const T& value);
  void AddValue(const vtkArrayCoordinates& coordinates, const T& value);

  // Description:
  // Validate the contents of the array, returning false if there are any problems.
  // Potential problems include duplicate coordinates, which can be introduced into the
  // array either through AddValue() or direct access to coordinates storage; and coordinates
  // out-of-bounds given the current array extents.
  //
  // Note that Validate() is a heavyweight O(N log N) operation that is intended for
  // temporary use during debugging.
  bool Validate();

protected:
  vtkSparseArray();
  ~vtkSparseArray();

private:
  vtkSparseArray(const vtkSparseArray&); // Not implemented
  void operator=(const vtkSparseArray&); // Not implemented

  void InternalResize(const vtkArrayExtents& extents);
  void InternalSetDimensionLabel(DimensionT i, const vtkStdString& label);
  vtkStdString InternalGetDimensionLabel(DimensionT i);

  typedef vtkSparseArray<T> ThisT;

  // Description:
  // Stores the current array extents (size along each dimension)
  vtkArrayExtents Extents;

  // Description:
  // Stores a label for each array dimension
  std::vector<vtkStdString> DimensionLabels;

  // Description:
  // Stores the coordinates of each non-null element within the array,
  // using one contiguous array to store the coordinates for each dimension.
  std::vector<std::vector<CoordinateT> > Coordinates;

  // Description:
  // Stores the value of each non-null element within the array
  std::vector<T> Values;

  // Description:
  // Stores the value that will be returned when accessing NULL areas
  // of the array.
  T NullValue;
};

#include "vtkSparseArray.txx"

#endif
