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//# Copyright (C) 1996,1997,1998,1999,2003
//# Associated Universities, Inc. Washington DC, USA.
//#
//# This library is free software; you can redistribute it and/or modify it
//# under the terms of the GNU Library General Public License as published by
//# the Free Software Foundation; either version 2 of the License, or (at your
//# option) any later version.
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//# This library 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 Library General Public
//# License for more details.
//#
//# You should have received a copy of the GNU Library General Public License
//# along with this library; if not, write to the Free Software Foundation,
//# Inc., 675 Massachusetts Ave, Cambridge, MA 02139, USA.
//#
//# Correspondence concerning AIPS++ should be addressed as follows:
//# Internet email: aips2-request@nrao.edu.
//# Postal address: AIPS++ Project Office
//# National Radio Astronomy Observatory
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//# Charlottesville, VA 22903-2475 USA
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//# $Id$
#ifndef LATTICES_LATTICES_H
#define LATTICES_LATTICES_H
//#include <casacore/casa/Arrays/ArrayLattice.h>
//#include <casacore/casa/Arrays/PagedArray.h>
//#include <casacore/casa/Arrays/TempLattice.h>
//#include <casacore/casa/Arrays/LatticeLocker.h>
//#include <casacore/casa/Arrays/TiledShape.h>
//#include <casacore/casa/Arrays/LatticeApply.h>
//#include <casacore/casa/Arrays/LatticeIterator.h>
//#include <casacore/casa/Arrays/LatticeStepper.h>
//#include <casacore/casa/Arrays/TileStepper.h>
//#include <casacore/casa/Arrays/TiledLineStepper.h>
//#include <casacore/lattices/Lattices/SubLattice.h>
//#include <casacore/lattices/LRegions.h>
//#include <casacore/lattices/LEL.h>
//#include <casacore/lattices/LatticeMath.h>
namespace casacore { //# NAMESPACE CASACORE - BEGIN
// <module>
// <summary>
// Regular N-dimensional data structures.
// </summary>
// <prerequisite>
// <li> Programmers of new Lattice classes should understand Inheritance
// <li> Users of the Lattice classes should understand Polymorphism.
// <li> class <linkto class=IPosition>IPosition</linkto>
// <li> class <linkto class=Array>Array</linkto>
// </prerequisite>
// <reviewed reviewer="Peter Barnes" date="1999/10/30" demos="">
// </reviewed>
// <etymology>
// Lattice: "A regular, periodic configuration of points, particles, or
// objects, throughout an area of a space..." (American Heritage Directory)
// This definition matches our own: an N-dimensional arrangement of data
// on regular orthogonal axes.
// <p>
// In Casacore, we have used the ability to call many things by one generic
// name (Lattice) to create a number of classes which have different storage
// techniques (e.g. core memory, disk, etc...). The name Lattice should
// make the user think of a class interface (or member functions) which all
// Lattice objects have in common. If functions require a Lattice
// argument, the classes described here may be used interchangeably, even
// though their actual internal workings are very different.
// </etymology>
// <synopsis>
// The Lattice module may be broken up into a few areas:
// <ol>
//
// <li> Lattices - the actual holders of lattice-like data which all share a
// common <linkto class="Lattice">interface</linkto>. The following items
// are all Lattices and may be used polymorphically wherever a Lattice is
// called for.
// <ul>
// <li>The <linkto class="ArrayLattice">ArrayLattice</linkto> class adds
// the interface requirements of a Lattice to a Casacore
// <linkto class="Array">Array</linkto>. The data inside an ArrayLattice
// are not stored on disk. This n-dimensional array class is the simplest
// of the Lattices. Users construct the ArrayLattice with an argument
// which is either an IPosition which describes the array shape or a
// previously instantiated Array object that may already contain data. In
// the former case, some Lattice operation must be done to fill the data.
// The ArrayLattice, like all Lattices, may be iterated through with a
// <linkto class=LatticeIterator>LatticeIterator</linkto> (see below).
// <br>Iteration can also be done using
// <linkto class=LatticeApply>LatticeApply</linkto> and some helper
// classes. It makes it possible to concentrate on the algorithm.
// <srcblock>
// // Make an Array of shape 3x4x5
//
// Array<Float> simpleArray(IPosition(3,3,4,5));
//
// // fill it with a gradient
//
// for (Int k=0; k<5; k++)
// for (Int j=0; j<4; j++)
// for (Int i=0; i<3; i++)
// simpleArray(IPosition(3,i,j,k)) = i+j+k;
//
// // use the array to create an ArrayLattice.
//
// ArrayLattice<Float> lattice(simpleArray);
// </srcblock>
//
// <li>The <linkto class="PagedArray">PagedArray</linkto> class stores its
// data on disk in the Table format
// and pages it into random access memory for use. Paging is
// used here to describe the process of getting pieces of data small
// enough to fit into active memory even if the whole data set is much too
// large. This class "feels" like an array but may hold very large amounts
// of data. The paging has an added effect: all the data may be made
// persistent, so it stays around after the application ends.
// When you use PagedArrays - use
// them because you need persistent data and/or paging into large data sets.
// <br>
// The persistence is done using a <linkto module="Tables">Table</linkto>,
// and uses the <linkto module="Tables:TiledStMan">tiled storage
// manager</linkto>. This means that accessing the data along any axis is
// equally efficient (depending on the tile shape used).
// <br>
// A PagedArray constructor allows previously created PagedArrays to be
// recalled from disk. Much of the time, the PagedArray will be
// constructed with a <linkto class=TiledShape>TiledShape</linkto>
// argument which describes the array and tile shape
// and a Table argument for use as the place of storage. Then the
// PagedArray may be filled using any of the access functions of Lattices
// (like the LatticeIterator.)
//
// <srcblock>
// // Create a PagedArray from a Table already existing on disk.
//
// PagedArray<Float> lattice(fileName);
//
// // Create a LatticeIterator to access the Lattice in optimal tile
// // shaped chunks.
//
// LatticeIterator<Float> iter(lattice);
//
// // Iterate through and do something simple; here we just
// // sum up all the values in the Lattice
//
// Float dSum = 0;
// for(iter.reset(); !iter.atEnd(); iter++) {
// dSum += sum(iter.cursor());
// }
// </srcblock>
//
// <li>The <linkto class="HDF5Lattice">HDF5Lattice</linkto> class stores its
// data on disk in <a href="http://www.hdfgroup.org/HDF5">HDF5</a> format.
// It works in the same way as PagedArray.
//
// </ul>
//
// <li> <linkto class="LatticeIterator">LatticeIterator</linkto> - the
// object which allows iteration through any Lattice's data. This comes in
// two types: the <src>RO_LatticeIterator</src> which should be used if you
// are not going to change the Lattice's data, and the
// <src>LatticeIterator</src> if you need to change the data in the Lattice.
// <br>Note that iteration can also be done using
// <linkto class=LatticeApply>LatticeApply</linkto> and some helper
// classes. It makes it possible to concentrate on the algorithm.
// <ul>
// <li> The <linkto class="RO_LatticeIterator">RO_LatticeIterator</linkto>
// class name reflects its role as a means of iterating a "Read-Only" array
// (hereafter refered to as a "cursor") through a Lattice based object,
// from beginning to end. Think of a window into the Lattice that moves to
// a new location when requested. The Lattice doesn't change but you may
// see all or part of its data as the cursor "window" moves around. This
// class allows optimized read-only iteration through any instance of a
// class derived from Lattice. The cursor's shape is defined by the user and
// moved through the Lattice in an orderly fashion also defined by the user.
// Since the cursor is "read-only" it can only be used to "get" the data
// out of the Lattice. RO_LatticeIterators are constructed with the Lattice
// to be iterated as the first argument. The optional second constructor
// argument is either an IPosition which defines the shape of the cursor
// or a <linkto class=LatticeNavigator>LatticeNavigator</linkto> argument.
// The IPosition argument cause the iterator
// to move the cursor in a simple pattern; the cursor starts at the Lattice's
// origin and moves in the direction of the x-axis, then the y-axis, then
// the z-axis, etc.. If a LatticeNavigator argument is given, more
// control over the cursor shape and path are available. If no second
// argument is given, the optimal
// <linkto class=TileStepper>TileStepper</linkto> navigator will be used.
// <srcblock>
// // simple route - define a cursor shape that is the xy plane of our
// lattice.
//
// IPosition cursorShape(2, lattice.shape()(0), lattice.shape()(1));
// LatticeIterator<Float> iter(lattice, cursorShape);
// for (iter.reset(); !iter.atEnd(); iter++) {
// minMax(iter.cursor(), min, max);
// }
// </srcblock>
//
// <li> The <linkto class="LatticeIterator">LatticeIterator</linkto> class
// name reflects its role as a means of iterating a read and write cursor
// through a Lattice based object. Not only does the cursor allow you to
// inspect the Lattice data but you may also change the Lattice via
// operations on the cursor. This class provides optimized read and write
// iteration through any class derived from Lattice. The technique is
// identical to the RO_LatticeIterator. But the cursor, in this case, is
// a reference back to the data in the Lattice. This means that changes
// made to the cursor propagate back to the Lattice. This is especially
// useful for the PagedArray and PagedImage classes. These two classes
// are constructed empty and need iteration to fill in the Lattice data.
// <srcblock>
// // make an empty PagedArray and fill it. The Table that stores the
// // PagedArray is deleted when the PagedArray goes out of scope
//
// PagedArray<Float> lattice(IPosition(4,100,200,300,50));
// LatticeIterator<Float> iter(lattice, IPosition(2, 100, 200));
//
// // fill each plane with the "distance" of the iterator from the origin
//
// for(iter.reset();!iter.atEnd(); iter++) {
// iter.woCursor() = iter.nsteps();
// }
// </srcblock>
// </ul>
//
// <li> LatticeNavigators - the objects which define the method and path used
// by a LatticeIterator to move the cursor through a Lattice. Many
// different paths are possible. We leave it you to choose the
// <linkto class=LatticeNavigator>LatticeNavigator</linkto>
// (method and path) when using a LatticeIterator.
// <ul>
// <li> The <linkto class="LatticeStepper">LatticeStepper</linkto> class
// is used to define the steps which the cursor takes during its path
// through the Lattice. Every element of the Lattice will be covered,
// starting at the origin and ending at the "top right corner." This
// class provides the information needed by a LatticeIterator to do
// non-standard movements of the cursor during iteration. The shape of
// the cursor is specified by the second IPosition argument of the
// LatticeStepper. The order of the axis is important. An IPosition(1,5)
// is a five element vector along the x-axis. An IPosition(3,1,1,5) is a
// five element vector along the z-axis. The degenerate axes (axes with
// lengths of one) act as place holders. The third argument in the
// LatticeStepper constructor is the "orientation" IPosition. This
// describes the order of the axis for the cursor to follow. Again, we
// treat the elements, in order, of the IPosition as the designators of
// the appropriate axis. The zeroth element indicates which axis is the
// fastest moving, the first element indicates which axis is the second
// fastest moving etc. eg. The IPosition(3,2,0,1) says the LatticeIterator
// should start with the z-axis, next follow the x-axis, and finish with
// the y-axis. A single element cursor would thus move through a cube of
// dimension(x,y,z) from (0,0,0) up the z-axis until reaching the maximum
// (0,0,z-1) and then start on (1,0,0) and move to (1,0,z-1), etc.
// <srcblock>
// // The shape of our Lattice - a 4 dimensional image of shape (x,y,z,t) -
// // and the shape of the cursor
//
// IPosition latticeShape(image.shape());
// IPosition cursorShape(3, lattticeShape(0), 1, latticeShape(2));
//
// // Define the path the cursor should follow, we list x and z first, even though
// // no iterations will be done along those axes since the cursor is an
// // integral subshape of the Lattice. The cursor will move along the y-axis
// // and then increment the t-axis. The construct the Navigator and Iterator
//
// IPosition order(4,0,2,1,3);
// LatticeStepper nav(latticeShape, cursorShape, order);
// LatticeIterator<Float> iter(image, nav);
// </srcblock>
//
// <li>
// The <linkto class="TiledLineStepper">TiledLineStepper</linkto> class
// allows you to iterate through a Lattice with a Vector cursor.
// However, it steps through the Lattice in an order which is
// optimum with regard to the I/O of the tiles with which the Lattice is
// constructed.
//
// <srcblock>
//
// // Set up a TiledLineStepper to return profiles along the specified
// // axis from a PagedArray (not all Lattices have the tileShape member
// // function). Then create the iterator as well.
//
// TiledLineStepper nav(lattice.shape(), lattice.tileShape(), axis);
// LatticeIterator<Complex> nav(lattice, nav);
// </srcblock>
//
// <li>
// The <linkto class="TileStepper">TileStepper</linkto> class
// allows you to iterate through a Lattice in the optimum way.
// It steps through the lattice tile by tile minimizing I/O and memory usage.
// It is very well suited for pixel based operations.
// However, its iteration order is such that it cannot be used for
// a certain subset of pixels (e.g. a vector) is needed.
// <br>This navigator is the default when no navigator is given when
// constructing a (RO_)LatticeIterator.
//
// </ul>
//
// <li> <linkto class="MaskedLattice">MaskedLattice</linkto> - a
// Lattice with a mask. It is an abstract base class for
// various types of MaskedLattices. A MaskedLattice does not need
// to contain a mask (see e.g. SubLattice below), although the user
// can always ask for the mask. The function <src>isMasked()</src>
// tells if there is really a mask. If not, users could take
// advantage by shortcutting some code for better performance.
// I.e. a function can test if a the MaskedLattice is really masked
// and can take a special route if not.
// Of course, doing that requires more coding, so it should only
// be done where performance is a real issue.
// <ul>
// <li> A <linkto class="SubLattice">SubLattice</linkto> represents
// a rectangular subset of a Lattice. The SubLattice can be a simple
// box, but it can also be a circle, polygon, etc.
// In the latter case the SubLattice contains a mask
// telling which pixels in the bounding box actually belong to the
// circle or polygon. In the case of a box there is no mask, because
// there is no need to (because a box is already rectangular).
// <br> A SubLattice can be constructed from any Lattice and a
// <linkto class=LatticeRegion>LatticeRegion</linkto> telling which
// part to take from the Lattice.
// If the SubLattice is constructed from a <src>const Lattice</src>,
// the SubLattice is not writable. Otherwise it is writable if the
// lattice is writable.
// <p>
// There is a rich variety of <linkto class=LCRegion>region</linkto>
// classes which can be used to define a LatticeRegion in pixel coordinates.
// They are described in module
// <a href="group__LRegions__module.html">LRegions</a>.
//
// <li> Module <a href="group__LEL__module.html">LEL</a> contains classes to
// form a mathematical expression of lattices. All standard operators, regions,
// and many, many <linkto class=LatticeExprNode>functions</linkto>
// can be used in an expression.
// </ul>
//
// <li> <linkto class=LatticeLocker>LatticeLocker</linkto>
// can be used to acquire a (user) lock on a lattice.
// The lock can be a read or write lock.
// The destructor releases the lock when needed.
// <br>Lattices on disk can be used (read and write) by multiple processes.
// The Table locking/synchronization mechanism takes care that sharing
// such a lattice is done in an orderly way.
// Usually the default locking mechanism is sufficient.
// LatticeLocker is useful when finer locking control is needed for a
// disk-based lattice.
//
// <note role=warning> The following are listed for low-level programmers.
// Lattice users need not understand them.</note> The Lattice directory
// contains several files relevant only to implementation.
//
// <ul>
// <li> <linkto class="LatticeBase">LatticeBase</linkto> - a non-templated
// abstract base class defining the type-independent interface to classes
// which must act as Lattices do.
// <li> <linkto class="Lattice">Lattice</linkto> - a templated
// abstract base class (derived from LatticeBase)
// defining the interface to classes which must act as Lattices do.
// The user simply publicly inherits from Lattice and defines the member
// functions declared as pure abstract in the Lattice header file.
// <li> The <linkto class="LatticeNavigator">LatticeNavigator</linkto>
// class name defines the interface used for navigating through a Lattice
// by iteration. This class is an abstract base. Classes derived from
// this (currently
// <linkto class="LatticeStepper">LatticeStepper</linkto>,
// <linkto class="TiledLineStepper">TiledLineStepper</linkto>, and
// <linkto class="TileStepper">TileStepper</linkto>) must
// define the path the iterator cursor follows, the size of the movement
// of the cursor with each iteration, and the behaviour of that cursor
// shape as it moves through a Lattice.
// <li> <linkto class="LatticeIndexer">LatticeIndexer</linkto> - this
// class contains the currently defined Lattice and sub-Lattice shape. It
// is used only by navigator classes as it contains
// member functions for moving a cursor through a defined sub-Lattice.
// <li> The
// <linkto class="LatticeIterInterface">LatticeIterInterface</linkto>
// class defines the interface for a specific Lattice's iterator. This
// class is a base class with a default iterator implementation.
// Lattice based classes may need to derive an iterator from
// LatticeIterInterface to optimize for the LatticeIterator
// internals which impact upon the new Lattice.
// <li> <linkto class="PagedArrIter">PagedArrIter</linkto> - this class is
// the PagedArray's optimized method of iterating. This class is a
// "letter" utilized within the LatticeIterator "envelope" and cannot
// be instantiated by any user.
// <li> <linkto class="LCRegion">LCRegion</linkto> - this class is the
// (abstract) base class for regions in pixel coordinates.
// </ul>
// </ol>
// </synopsis>
// <motivation>
// Lattices allow the various holders of data to assume a general method
// of treatment; by making interfaces in terms of the Lattice class,
// the programmer can polymorphically operate on objects derived from the
// Lattice class.
// </motivation>
// <todo asof="1998/10/10">
// <li> Make MaskedIterator class?
// </todo>
// </module>
} //# NAMESPACE CASACORE - END
#endif
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