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/**
* $Id$
* ***** BEGIN GPL/BL DUAL LICENSE BLOCK *****
*
* 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. The Blender
* Foundation also sells licenses for use in proprietary software under
* the Blender License. See http://www.blender.org/BL/ for information
* about this.
*
* 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.
*
* The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
* All rights reserved.
*
* The Original Code is: all of this file.
*
* Contributor(s): none yet.
*
* ***** END GPL/BL DUAL LICENSE BLOCK *****
*/
/*
*
* Template Numerical Toolkit (TNT): Linear Algebra Module
*
* Mathematical and Computational Sciences Division
* National Institute of Technology,
* Gaithersburg, MD USA
*
*
* This software was developed at the National Institute of Standards and
* Technology (NIST) by employees of the Federal Government in the course
* of their official duties. Pursuant to title 17 Section 105 of the
* United States Code, this software is not subject to copyright protection
* and is in the public domain. The Template Numerical Toolkit (TNT) is
* an experimental system. NIST assumes no responsibility whatsoever for
* its use by other parties, and makes no guarantees, expressed or implied,
* about its quality, reliability, or any other characteristic.
*
* BETA VERSION INCOMPLETE AND SUBJECT TO CHANGE
* see http://math.nist.gov/tnt for latest updates.
*
*/
// 2D Regions for arrays and matrices
#ifndef REGION2D_H
#define REGION2D_H
#include "index.h"
#include <iostream>
#include <cassert>
namespace TNT
{
template <class Array2D>
class const_Region2D;
template <class Array2D>
class Region2D
{
protected:
Array2D & A_;
Subscript offset_[2]; // 0-offset internally
Subscript dim_[2];
public:
typedef typename Array2D::value_type T;
typedef Subscript size_type;
typedef T value_type;
typedef T element_type;
typedef T* pointer;
typedef T* iterator;
typedef T& reference;
typedef const T* const_iterator;
typedef const T& const_reference;
Array2D & array() { return A_; }
const Array2D & array() const { return A_; }
Subscript lbound() const { return A_.lbound(); }
Subscript num_rows() const { return dim_[0]; }
Subscript num_cols() const { return dim_[1]; }
Subscript offset(Subscript i) const // 1-offset
{
#ifdef TNT_BOUNDS_CHECK
assert( A_.lbound() <= i);
assert( i<= dim_[0] + A_.lbound()-1);
#endif
return offset_[i-A_.lbound()];
}
Subscript dim(Subscript i) const
{
#ifdef TNT_BOUNDS_CHECK
assert( A_.lbound() <= i);
assert( i<= dim_[0] + A_.lbound()-1);
#endif
return dim_[i-A_.lbound()];
}
Region2D(Array2D &A, Subscript i1, Subscript i2, Subscript j1,
Subscript j2) : A_(A)
{
#ifdef TNT_BOUNDS_CHECK
assert( i1 <= i2 );
assert( j1 <= j2);
assert( A.lbound() <= i1);
assert( i2<= A.dim(A.lbound()) + A.lbound()-1);
assert( A.lbound() <= j1);
assert( j2<= A.dim(A.lbound()+1) + A.lbound()-1 );
#endif
offset_[0] = i1-A.lbound();
offset_[1] = j1-A.lbound();
dim_[0] = i2-i1+1;
dim_[1] = j2-j1+1;
}
Region2D(Array2D &A, const Index1D &I, const Index1D &J) : A_(A)
{
#ifdef TNT_BOUNDS_CHECK
assert( I.lbound() <= I.ubound() );
assert( J.lbound() <= J.ubound() );
assert( A.lbound() <= I.lbound());
assert( I.ubound()<= A.dim(A.lbound()) + A.lbound()-1);
assert( A.lbound() <= J.lbound());
assert( J.ubound() <= A.dim(A.lbound()+1) + A.lbound()-1 );
#endif
offset_[0] = I.lbound()-A.lbound();
offset_[1] = J.lbound()-A.lbound();
dim_[0] = I.ubound() - I.lbound() + 1;
dim_[1] = J.ubound() - J.lbound() + 1;
}
Region2D(Region2D<Array2D> &A, Subscript i1, Subscript i2,
Subscript j1, Subscript j2) : A_(A.A_)
{
#ifdef TNT_BOUNDS_CHECK
assert( i1 <= i2 );
assert( j1 <= j2);
assert( A.lbound() <= i1);
assert( i2<= A.dim(A.lbound()) + A.lbound()-1);
assert( A.lbound() <= j1);
assert( j2<= A.dim(A.lbound()+1) + A.lbound()-1 );
#endif
offset_[0] = (i1 - A.lbound()) + A.offset_[0];
offset_[1] = (j1 - A.lbound()) + A.offset_[1];
dim_[0] = i2-i1 + 1;
dim_[1] = j2-j1+1;
}
Region2D<Array2D> operator()(Subscript i1, Subscript i2,
Subscript j1, Subscript j2)
{
#ifdef TNT_BOUNDS_CHECK
assert( i1 <= i2 );
assert( j1 <= j2);
assert( A_.lbound() <= i1);
assert( i2<= dim_[0] + A_.lbound()-1);
assert( A_.lbound() <= j1);
assert( j2<= dim_[1] + A_.lbound()-1 );
#endif
return Region2D<Array2D>(A_,
i1+offset_[0], offset_[0] + i2,
j1+offset_[1], offset_[1] + j2);
}
Region2D<Array2D> operator()(const Index1D &I,
const Index1D &J)
{
#ifdef TNT_BOUNDS_CHECK
assert( I.lbound() <= I.ubound() );
assert( J.lbound() <= J.ubound() );
assert( A_.lbound() <= I.lbound());
assert( I.ubound()<= dim_[0] + A_.lbound()-1);
assert( A_.lbound() <= J.lbound());
assert( J.ubound() <= dim_[1] + A_.lbound()-1 );
#endif
return Region2D<Array2D>(A_, I.lbound()+offset_[0],
offset_[0] + I.ubound(), offset_[1]+J.lbound(),
offset_[1] + J.ubound());
}
inline T & operator()(Subscript i, Subscript j)
{
#ifdef TNT_BOUNDS_CHECK
assert( A_.lbound() <= i);
assert( i<= dim_[0] + A_.lbound()-1);
assert( A_.lbound() <= j);
assert( j<= dim_[1] + A_.lbound()-1 );
#endif
return A_(i+offset_[0], j+offset_[1]);
}
inline const T & operator() (Subscript i, Subscript j) const
{
#ifdef TNT_BOUNDS_CHECK
assert( A_.lbound() <= i);
assert( i<= dim_[0] + A_.lbound()-1);
assert( A_.lbound() <= j);
assert( j<= dim_[1] + A_.lbound()-1 );
#endif
return A_(i+offset_[0], j+offset_[1]);
}
Region2D<Array2D> & operator=(const Region2D<Array2D> &R)
{
Subscript M = num_rows();
Subscript N = num_cols();
// make sure both sides conform
assert(M == R.num_rows());
assert(N == R.num_cols());
Subscript start = R.lbound();
Subscript Mend = start + M - 1;
Subscript Nend = start + N - 1;
for (Subscript i=start; i<=Mend; i++)
for (Subscript j=start; j<=Nend; j++)
(*this)(i,j) = R(i,j);
return *this;
}
Region2D<Array2D> & operator=(const const_Region2D<Array2D> &R)
{
Subscript M = num_rows();
Subscript N = num_cols();
// make sure both sides conform
assert(M == R.num_rows());
assert(N == R.num_cols());
Subscript start = R.lbound();
Subscript Mend = start + M - 1;
Subscript Nend = start + N - 1;
for (Subscript i=start; i<=Mend; i++)
for (Subscript j=start; j<=Nend; j++)
(*this)(i,j) = R(i,j);
return *this;
}
Region2D<Array2D> & operator=(const Array2D &R)
{
Subscript M = num_rows();
Subscript N = num_cols();
// make sure both sides conform
assert(M == R.num_rows());
assert(N == R.num_cols());
Subscript start = R.lbound();
Subscript Mend = start + M - 1;
Subscript Nend = start + N - 1;
for (Subscript i=start; i<=Mend; i++)
for (Subscript j=start; j<=Nend; j++)
(*this)(i,j) = R(i,j);
return *this;
}
Region2D<Array2D> & operator=(const T &scalar)
{
Subscript start = lbound();
Subscript Mend = lbound() + num_rows() - 1;
Subscript Nend = lbound() + num_cols() - 1;
for (Subscript i=start; i<=Mend; i++)
for (Subscript j=start; j<=Nend; j++)
(*this)(i,j) = scalar;
return *this;
}
};
//************************
template <class Array2D>
class const_Region2D
{
protected:
const Array2D & A_;
Subscript offset_[2]; // 0-offset internally
Subscript dim_[2];
public:
typedef typename Array2D::value_type T;
typedef T value_type;
typedef T element_type;
typedef const T* const_iterator;
typedef const T& const_reference;
const Array2D & array() const { return A_; }
Subscript lbound() const { return A_.lbound(); }
Subscript num_rows() const { return dim_[0]; }
Subscript num_cols() const { return dim_[1]; }
Subscript offset(Subscript i) const // 1-offset
{
#ifdef TNT_BOUNDS_CHECK
assert( TNT_BASE_OFFSET <= i);
assert( i<= dim_[0] + TNT_BASE_OFFSET-1);
#endif
return offset_[i-TNT_BASE_OFFSET];
}
Subscript dim(Subscript i) const
{
#ifdef TNT_BOUNDS_CHECK
assert( TNT_BASE_OFFSET <= i);
assert( i<= dim_[0] + TNT_BASE_OFFSET-1);
#endif
return dim_[i-TNT_BASE_OFFSET];
}
const_Region2D(const Array2D &A, Subscript i1, Subscript i2,
Subscript j1, Subscript j2) : A_(A)
{
#ifdef TNT_BOUNDS_CHECK
assert( i1 <= i2 );
assert( j1 <= j2);
assert( TNT_BASE_OFFSET <= i1);
assert( i2<= A.dim(TNT_BASE_OFFSET) + TNT_BASE_OFFSET-1);
assert( TNT_BASE_OFFSET <= j1);
assert( j2<= A.dim(TNT_BASE_OFFSET+1) + TNT_BASE_OFFSET-1 );
#endif
offset_[0] = i1-TNT_BASE_OFFSET;
offset_[1] = j1-TNT_BASE_OFFSET;
dim_[0] = i2-i1+1;
dim_[1] = j2-j1+1;
}
const_Region2D(const Array2D &A, const Index1D &I, const Index1D &J)
: A_(A)
{
#ifdef TNT_BOUNDS_CHECK
assert( I.lbound() <= I.ubound() );
assert( J.lbound() <= J.ubound() );
assert( TNT_BASE_OFFSET <= I.lbound());
assert( I.ubound()<= A.dim(TNT_BASE_OFFSET) + TNT_BASE_OFFSET-1);
assert( TNT_BASE_OFFSET <= J.lbound());
assert( J.ubound() <= A.dim(TNT_BASE_OFFSET+1) + TNT_BASE_OFFSET-1 );
#endif
offset_[0] = I.lbound()-TNT_BASE_OFFSET;
offset_[1] = J.lbound()-TNT_BASE_OFFSET;
dim_[0] = I.ubound() - I.lbound() + 1;
dim_[1] = J.ubound() - J.lbound() + 1;
}
const_Region2D(const_Region2D<Array2D> &A, Subscript i1,
Subscript i2,
Subscript j1, Subscript j2) : A_(A.A_)
{
#ifdef TNT_BOUNDS_CHECK
assert( i1 <= i2 );
assert( j1 <= j2);
assert( TNT_BASE_OFFSET <= i1);
assert( i2<= A.dim(TNT_BASE_OFFSET) + TNT_BASE_OFFSET-1);
assert( TNT_BASE_OFFSET <= j1);
assert( j2<= A.dim(TNT_BASE_OFFSET+1) + TNT_BASE_OFFSET-1 );
#endif
offset_[0] = (i1 - TNT_BASE_OFFSET) + A.offset_[0];
offset_[1] = (j1 - TNT_BASE_OFFSET) + A.offset_[1];
dim_[0] = i2-i1 + 1;
dim_[1] = j2-j1+1;
}
const_Region2D<Array2D> operator()(Subscript i1, Subscript i2,
Subscript j1, Subscript j2)
{
#ifdef TNT_BOUNDS_CHECK
assert( i1 <= i2 );
assert( j1 <= j2);
assert( TNT_BASE_OFFSET <= i1);
assert( i2<= dim_[0] + TNT_BASE_OFFSET-1);
assert( TNT_BASE_OFFSET <= j1);
assert( j2<= dim_[0] + TNT_BASE_OFFSET-1 );
#endif
return const_Region2D<Array2D>(A_,
i1+offset_[0], offset_[0] + i2,
j1+offset_[1], offset_[1] + j2);
}
const_Region2D<Array2D> operator()(const Index1D &I,
const Index1D &J)
{
#ifdef TNT_BOUNDS_CHECK
assert( I.lbound() <= I.ubound() );
assert( J.lbound() <= J.ubound() );
assert( TNT_BASE_OFFSET <= I.lbound());
assert( I.ubound()<= dim_[0] + TNT_BASE_OFFSET-1);
assert( TNT_BASE_OFFSET <= J.lbound());
assert( J.ubound() <= dim_[1] + TNT_BASE_OFFSET-1 );
#endif
return const_Region2D<Array2D>(A_, I.lbound()+offset_[0],
offset_[0] + I.ubound(), offset_[1]+J.lbound(),
offset_[1] + J.ubound());
}
inline const T & operator() (Subscript i, Subscript j) const
{
#ifdef TNT_BOUNDS_CHECK
assert( TNT_BASE_OFFSET <= i);
assert( i<= dim_[0] + TNT_BASE_OFFSET-1);
assert( TNT_BASE_OFFSET <= j);
assert( j<= dim_[1] + TNT_BASE_OFFSET-1 );
#endif
return A_(i+offset_[0], j+offset_[1]);
}
};
// ************** std::ostream algorithms *******************************
template <class Array2D>
std::ostream& operator<<(std::ostream &s, const const_Region2D<Array2D> &A)
{
Subscript start = A.lbound();
Subscript Mend=A.lbound()+ A.num_rows() - 1;
Subscript Nend=A.lbound() + A.num_cols() - 1;
s << A.num_rows() << " " << A.num_cols() << "\n";
for (Subscript i=start; i<=Mend; i++)
{
for (Subscript j=start; j<=Nend; j++)
{
s << A(i,j) << " ";
}
s << "\n";
}
return s;
}
template <class Array2D>
std::ostream& operator<<(std::ostream &s, const Region2D<Array2D> &A)
{
Subscript start = A.lbound();
Subscript Mend=A.lbound()+ A.num_rows() - 1;
Subscript Nend=A.lbound() + A.num_cols() - 1;
s << A.num_rows() << " " << A.num_cols() << "\n";
for (Subscript i=start; i<=Mend; i++)
{
for (Subscript j=start; j<=Nend; j++)
{
s << A(i,j) << " ";
}
s << "\n";
}
return s;
}
} // namespace TNT
#endif
// REGION2D_H
|
