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Package net.algart.arrays

AlgART arrays and matrices: generalized arrays and matrices of any Java types and basic alrogithms of their processing.

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          Description

Interface Summary
Interface Description
Array AlgART array of any elements, read-only access.
ArrayContext The context of processing AlgART arrays.
ArrayProcessor Abstract array processor: an algorithm processing AlgART arrays or matrices.
ArrayProcessorWithContextSwitching Array processor allowing to swtich the current context.
Arrays.SystemSettings.DiskSynchronizer Global synchronizer, used for all disk operations, performed by this package.
BitArray AlgART array of boolean values, read-only access.
BitStack Stack of boolean values.
ByteArray AlgART array of byte values, read-only access.
ByteStack Stack of byte values.
CharArray AlgART array of char values, read-only access.
CharStack Stack of char values.
CombinedMemoryModel.BufferedCombiner<E> Special version of CombinedMemoryModel.Combiner interface allowing to optimize block access to the combined array.
CombinedMemoryModel.Combiner<E> This interface should be implemented to allow saving objects in arrays created via combined memory model.
CombinedMemoryModel.CombinerInPlace<E> Special version of CombinedMemoryModel.Combiner interface allowing to load an element without creating new Java object.
DataBitBuffer Data buffer for bit elements.
DataBuffer Data buffer: an interface allowing to read and write blocks from / to some linear data storage, containing a sequence of elements of any Java type, with maximal performance.
DataByteBuffer Data buffer for byte elements.
DataCharBuffer Data buffer for char elements.
DataDoubleBuffer Data buffer for double elements.
DataFile Some "data file" (usually disk file) that supports file-mapping operation.
DataFile.BufferHolder An object allowing to access mapped data, returned by the DataFile.map(net.algart.arrays.DataFile.Range, boolean) method.
DataFileModel<P> Data file model: the factory allowing to create and remove some file-like objects ("data files").
DataFloatBuffer Data buffer for float elements.
DataIntBuffer Data buffer for int elements.
DataLongBuffer Data buffer for long elements.
DataObjectBuffer<E> Data buffer for Object elements.
DataShortBuffer Data buffer for short elements.
DirectAccessible Direct accessible array: an object that can be viewed as a Java array or a part of Java array.
DoubleArray AlgART array of double values, read-only access.
DoubleStack Stack of double values.
FloatArray AlgART array of float values, read-only access.
FloatStack Stack of float values.
GeneralizedBitProcessing.SliceOperation Algorithm of processing bit arrays, that should be generalized for another element type via GeneralizedBitProcessing class.
IntArray AlgART array of int values, read-only access.
IntStack Stack of int values.
IterativeArrayProcessor<T> An iterative algorithm processing some AlgART array (arrays) or matrix (matrices).
LongArray AlgART array of long values, read-only access.
LongStack Stack of long values.
Matrix<T extends Array> AlgART matrix: multidimensional array.
MemoryModel Virtual memory model: implementations of this abstract factory is the main way of creating new AlgART arrays.
MutableArray AlgART one-dimensional array of any elements, full access (reading, writing, resizing).
MutableBitArray Resizable AlgART array of boolean values.
MutableByteArray Resizable AlgART array of byte values.
MutableCharArray Resizable AlgART array of char values.
MutableDoubleArray Resizable AlgART array of double values.
MutableFloatArray Resizable AlgART array of float values.
MutableIntArray Resizable AlgART array of int values.
MutableLongArray Resizable AlgART array of long values.
MutableObjectArray<E> Resizable AlgART array of some objects (non-primitive values) with the specified generic type E, read-write and resize access.
MutableObjectInPlaceArray<E> Special version of MutableObjectArray allowing to load an element without creating new Java object.
MutablePArray Resizable AlgART array of primitive elements (boolean, char, byte, short, int, long, float or double).
MutablePFixedArray Resizable AlgART array of any fixed-point numeric, character or bit primitive elements (byte, short, int, long, char or boolean).
MutablePFloatingArray Resizable AlgART array of any floating-point primitive elements (float or double).
MutablePIntegerArray Resizable AlgART array of any fixed-point numeric primitive elements (byte, short, int or long).
MutablePNumberArray Resizable AlgART array of any numeric primitive elements (byte, short, int, long, float or double).
MutableShortArray Resizable AlgART array of short values.
ObjectArray<E> AlgART array of some objects (non-primitive values) with the specified generic type E, read-only access.
ObjectInPlaceArray<E> Special version of ObjectArray allowing to load an element without creating new Java object.
ObjectStack<E> Stack of some objects (non-primitive values).
PArray AlgART array of primitive elements (boolean, char, byte, short, int, long, float or double), read-only access.
PFixedArray AlgART array of any fixed-point primitive numeric, character or bit elements (byte, short, int, long, char or boolean), read-only access.
PFloatingArray AlgART array of any floating-point primitive elements (float or double), read-only access.
PIntegerArray AlgART array of any fixed-point primitive numeric elements (byte, short, int or long), read-only access.
PNumberArray AlgART array of any primitive numeric elements (byte, short, int, long, float or double), read-only access.
ShortArray AlgART array of short values, read-only access.
ShortStack Stack of short values.
Sorter.Comparator This interface should be implemented to allow comparing sorted objects.
Sorter.Exchanger This interface should be implemented to allow exchanging sorted objects.
Stack Resizable stack of any elements.
ThreadPoolFactory The factory allowing to get a thread pool (ExecutorService) for processing some AlgART array.
UpdatableArray AlgART one-dimensional array of any elements, read/write access, no resizing.
UpdatableBitArray AlgART array of boolean values, read/write access, no resizing.
UpdatableByteArray AlgART array of byte values, read/write access, no resizing.
UpdatableCharArray AlgART array of char values, read/write access, no resizing.
UpdatableDoubleArray AlgART array of double values, read/write access, no resizing.
UpdatableFloatArray AlgART array of float values, read/write access, no resizing.
UpdatableIntArray AlgART array of int values, read/write access, no resizing.
UpdatableLongArray AlgART array of long values, read/write access, no resizing.
UpdatableObjectArray<E> AlgART array of some objects (non-primitive values) with the specified generic type E, read/write access, no resizing.
UpdatableObjectInPlaceArray<E> Special version of UpdatableObjectArray allowing to load an element without creating new Java object.
UpdatablePArray AlgART array of primitive elements (boolean, char, byte, short, int, long, float or double), read/write access, no resizing.
UpdatablePFixedArray AlgART array of any fixed-point primitive numeric, character or bit elements (byte, short, int, long, char or boolean), read/write access, no resizing.
UpdatablePFloatingArray AlgART array of any floating-point primitive elements (float or double), read/write access, no resizing.
UpdatablePIntegerArray AlgART array of any fixed-point primitive numeric elements (byte, short, int or long), read/write access, no resizing.
UpdatablePNumberArray AlgART array of any primitive numeric elements (byte, short, int, long, float or double), read-only access.
UpdatableShortArray AlgART array of short values, read/write access, no resizing.
 

Class Summary
Class Description
AbstractArray Implementation of basic functions of MutableArray interface.
AbstractArrayContext A skeletal implementation of the ArrayContext interface to minimize the effort required to implement this interface.
AbstractArrayProcessorWithContextSwitching A skeletal implementation of the ArrayProcessorWithContextSwitching interface.
AbstractBitArray Implementation of almost all basic functions of BitArray interface.
AbstractByteArray Implementation of almost all basic functions of ByteArray interface.
AbstractCharArray Implementation of almost all basic functions of CharArray interface.
AbstractDataFileModel A skeletal implementation of the DataFileModel interface to minimize the effort required to implement this interface for processing usual disk files.
AbstractDoubleArray Implementation of almost all basic functions of DoubleArray interface.
AbstractFloatArray Implementation of almost all basic functions of FloatArray interface.
AbstractIntArray Implementation of almost all basic functions of IntArray interface.
AbstractIterativeArrayProcessor<T> A skeletal implementation of the IterativeArrayProcessor interface.
AbstractLongArray Implementation of almost all basic functions of LongArray interface.
AbstractMatrix<T extends Array> A skeletal implementation of the Matrix interface to minimize the effort required to implement this interface.
AbstractMemoryModel A skeletal implementation of the MemoryModel interface to minimize the effort required to implement this interface.
AbstractObjectArray<E> Implementation of almost all basic functions of ObjectArray interface.
AbstractShortArray Implementation of almost all basic functions of ShortArray interface.
AbstractThreadPoolFactory A skeletal implementation of the ThreadPoolFactory interface.
AbstractUpdatableBitArray Implementation of almost all basic functions of UpdatableBitArray interface.
AbstractUpdatableByteArray Implementation of almost all basic functions of UpdatableByteArray interface.
AbstractUpdatableCharArray Implementation of almost all basic functions of UpdatableCharArray interface.
AbstractUpdatableDoubleArray Implementation of almost all basic functions of UpdatableDoubleArray interface.
AbstractUpdatableFloatArray Implementation of almost all basic functions of UpdatableFloatArray interface.
AbstractUpdatableIntArray Implementation of almost all basic functions of UpdatableIntArray interface.
AbstractUpdatableLongArray Implementation of almost all basic functions of UpdatableLongArray interface.
AbstractUpdatableObjectArray<E> Implementation of almost all basic functions of UpdatableObjectArray interface.
AbstractUpdatableShortArray Implementation of almost all basic functions of UpdatableShortArray interface.
ArrayContext.Event The array processing event: an argument of ArrayContext.updateProgress(Event) method.
ArrayPool A simple pool of the unresizable AlgART arrays (usually work buffers) with the same size and type of elements, based on a list of SoftReference.
Arrays A set of static methods useful for working with AlgART arrays.
Arrays.ComparingCopyStatus The information about the copying, returned by Arrays.compareAndCopy(ArrayContext, UpdatableArray, Array) and Matrices.compareAndCopy(ArrayContext, Matrix, Matrix) methods.
Arrays.Copier Implementation of Arrays.ParallelExecutor performing simple copying of the source array.
Arrays.CopyStatus The information about the copying, returned by copying methods of this package: Arrays.copy(ArrayContext, UpdatableArray, Array), Arrays.copy(ArrayContext, UpdatableArray, Array, int, boolean), Matrices.copy(ArrayContext, Matrix, Matrix), etc.
Arrays.MinMaxInfo The helper class for Arrays.rangeOf(PArray, MinMaxInfo) method, containing information about the minimum and maximum in some AlgART array.
Arrays.ParallelExecutor The class simplifying the parallel processing a large AlgART array in several threads, where each thread process a set of ranges of the source array (Array.subArray).
Arrays.SystemSettings A set of static methods for getting some important global settings, stored in system properties and used for customizing modules procesing AlgART arrays.
BufferMemoryModel The memory model, based on ByteBuffer and other buffers from java.nio package.
CombinedMemoryModel<E> The memory model allowing to create combined arrays: special kind of AlgART arrays, that store an array of Java objects with minimal amount of memory, namely in one or several another "parallel" arrays.
CombinedMemoryModel.AbstractByteBufferCombiner<E> A skeleton class allowing to simplify implementation of CombinedMemoryModel.Combiner interface.
CombinedMemoryModel.AbstractByteBufferCombinerInPlace<E> A version of CombinedMemoryModel.AbstractByteBufferCombiner skeleton class implementing CombinedMemoryModel.CombinerInPlace interface.
DataFile.Range Pair of 2 long values position and length, describing the range position..position+length-1 of linear addresses in some data file.
DefaultDataFileModel Default implementation of DataFileModel that creates usual Java files, which are mapped via standard Java technique (FileChannel.map method).
DefaultThreadPoolFactory A simple implementation of ThreadPoolFactory interface.
GeneralizedBitProcessing Universal convertor of bitwise operation (an algorithm processing BitArray) to operation over any primitive type (an algorithm processing PArray).
Histogram Histogram: the class, allowing to find percentiles and ranks and support them while changing histogram.
JArrayPool A simple pool of the Java arrays (usually work buffers) with the same size and type of elements, based on a list of SoftReference.
JArrays Some operations for Java array manipulation, in addition to java.util.Arrays.
JBuffers Some operations for Java NIO buffers manipulation in the same manner as array operations from JArrays and java.util.Arrays classes.
LargeMemoryModel<P> The memory model, storing array elements in an external file.
Matrices Utilities useful for working with AlgART matrices.
Matrices.ConvexHyperpolyhedron Convex hyperpolyhedron: an intersection of several n-dimensional half-spaces and some hyperparallelepiped.
Matrices.Hyperparallelepiped Hyperparallelepiped: the simplest n-dimensional region.
Matrices.Polygon2D Random 2-dimensional polygon.
Matrices.Region Region in n-dimensional space.
Matrices.ResizingMethod Resizing mode for Matrices.asResized method.
Matrices.ResizingMethod.Averaging Resizing method with averaging (while compression).
Matrices.Simplex Simplex: the simplest n-dimensional hyperpolyhedron with n+1 vertices.
MatrixInfo Full structural information about the AlgART matrix, consisting of elements of some primitive types, in a form convenient for serialization.
PackedBitArrays Operations with bit arrays packed into long[] Java arrays.
PackedBitBuffers Operations with bit arrays packed into java.nio.LongBuffer.
SignalMemoryModel The degenerate memory model that does not allow to create any AlgART arrays.
SimpleMemoryModel The simplest memory model, based on usual Java arrays.
Sorter Sorting algorithms.
StandardIODataFileModel Alternative implementation of DataFileModel that creates usual Java files, but emulates mapping via standard read/write operations (StandardIODataFileModel.readAllBuffer(FileChannel, long, ByteBuffer) and StandardIODataFileModel.writeAllBuffer(FileChannel, long, ByteBuffer) methods).
SummingHistogram  
SummingHistogram.CountOfValues  
 

Enum Summary
Enum Description
Arrays.CopyAlgorithm The information about the internal algorithm, which was used by copying methods of this package: Arrays.copy(ArrayContext, UpdatableArray, Array), Arrays.copy(ArrayContext, UpdatableArray, Array, int, boolean), Arrays.compareAndCopy(ArrayContext, UpdatableArray, Array), Matrices.copy(ArrayContext, Matrix, Matrix), etc.
Arrays.TaskExecutionOrder Describes when to execute the task passed to Arrays.addShutdownTask(Runnable, TaskExecutionOrder) method.
DataBuffer.AccessMode Access mode, describing access to data buffers.
DataFile.OpenResult Possible results of DataFile.open(boolean) method.
Matrices.InterpolationMethod Interpolation method for representing AlgART matrix as a mathematical function.
 

Exception Summary
Exception Description
DegeneratedSimplexException Unchecked exception thrown if the n-dimensional simplex Matrices.Simplex cannot be constructed because all vertices lies on the same hyperplane.
IllegalInfoSyntaxException Checked exception thrown if the format of byte[] or String serialized form of the MatrixInfo is invalid.
NoArrayException Unchecked exception thrown by DirectAccessible.javaArray() method if the object cannot be viewed as a Java array.
SizeMismatchException Unchecked exception thrown by some methods, processing several AlgART arrays or matrices, when the passed arrays / matrices have different lengths / dimensions.
TooLargeArrayException Unchecked exception thrown if the current or desired array length is extremely large.
UnsupportedElementTypeException Unchecked exception thrown by methods, creating new AlgART arrays (as MemoryModel.newEmptyArray(Class)), if the specified element type is not supported by the memory model.
 

Error Summary
Error Description
UnallowedMutationError Unchecked error thrown if the elements of trusted immutable AlgART arrays have been changed.
 

Package net.algart.arrays Description

AlgART arrays and matrices: generalized arrays and matrices of any Java types and basic alrogithms of their processing.

AlgART arrays are classes allowing to store one- or multi-dimensional random access arrays, containing elements of any Java type, including primitive types.

AlgART arrays are homogeneous: the type of elements of an array are the same (for primitive elements) or are inheritors of the same class (for non-primitive elements). AlgART arrays, unlike standard Java arrays, can be resizable: you can add elements to the array end or remove some elements at any time.

AlgART arrays include all basic functionality of the standard Java ArrayList class and of Java NIO buffers, but also provide a lot of new features.

The basic AlgART array interface is Array: read-only one-dimensional array with any element type. There are a lot of its subinterfaces with additional functionality and restrictions.

Contents

Main features of AlgART arrays

  1. The addressing of array elements is 63-bit. So, it's theoretically possible to create and process arrays containing up to 263-1 (~1019) elements of any primitive or non-primitive types, if OS and hardware can provide necessary amount of memory or disk space. Please see also the section "The maximal supported array length" below.
     
  2. Multi-dimensional arrays, named matrices, are supported via the Matrix interface. Any one-dimensional array can be viewed as a matrix and vice versa.
     
  3. AlgART arrays are implemented with help of special factories, named Virtual Memory Models (MemoryModel interface), that provide a standard way of implementing any schemes for storing data, from simple Java arrays to mapped disk files. The current implementation offers 4 basic memory models: Moreover, the Large memory model is based on special low-level factories, named Data File Models (DataFileModel interface). Creating non-standard data file models allows to easily implement storing array elements in almost any possible devices or storages. For example, it's possible to create data file model that will represent a content of BufferedImage as AlgART array.
     
  4. Arrays implement maximal efficient memory usage. In particular, AlgART arrays allow to use only 1 bit per element while storing boolean values, 4 bytes per elements while storing int or float values, or 3*4=12 bytes per element while storing Java objects consisting 3 int field, as for the following Circle object:
     class Circle {
         int x;
         int y;
         int r;
     }
     
    Unlike this, Java NIO buffers allow efficient storing only non-boolean primitive elements, and standard ArrayList always stores every element as a separate instance, that require a lot of extra memory for simple structures.
     
  5. There are separate interfaces for almost all kinds of data access that makes usage of arrays more simple and stable. Namely, there are separate interfaces for read-only access (Array), read-write access without changing the array length (UpdatableArray), stack access — adding and removing the last element (Stack), and full access including resizing the array (MutableArray). In addition, there are DataBuffer interface, providing convenient and maximally efficient block access to AlgART arrays, and DirectAccessible interface for quick access to internal Java array if the elements are really stored in an underlying Java array. There is also full set of interfaces for quick and convenient access to elements of all primitive types.
     
    This architectural solution allows safe programming style, when illegal array operations are syntactically impossible. For example, the methods, which process an AlgART array argument and calculate some results, but don't need any modifications of the passed array, declare their array argument as Array or XxxArray, where Xxx is Byte, Int, Float, ... — interfaces containing only reading, but not writing methods. The methods, which correct the array content, but don't need to add or remove array elements, declare their array argument as UpdatableArray (or UpdatableXxxArray) — interfaces containing only reading and writing, but not resizing methods. This solution allows to avoid "optional" operations, used for implementation of read-only arrays in standard Java libraries.
     
  6. The AlgART arrays architecture offers advanced means for protection against unallowed changes of the array content. Namely, any array can be cloned (the simplest protection), converted to immutable form, to more efficient (in some cases) trusted immutable form or to special quite safe copy-on-next-write form. Also, any resizable array can be converted to unresizable form, which length is fixed. Using read-only Array or unresizable UpdatableArray interfaces (and their inheritors for primitive types), instead of the full MutableArray, also helps to avoid unwanted operations.

The diagram of interfaces and implementations

The basic set of AlgART array interfaces and classes can be represented as 3-dimentional structure. The 1st dimension corresponds to the type of elements: there are separate interfaces and classes for all 8 primitive Java types and for Object type (and its inheritors). The 2nd dimension describes the array functionality: read-only access (Array), read/write access (UpdatableArray), full access including resizing (MutableArray), quick access to internal Java array (DirectAccessible). The 3rd dimension is the Virtual Memory Model: the scheme of storing array elements.

Below is a diagram of basic array interfaces and classes.

Simple memory model (the only model that supports all element types)
Read-only access Read/write access Stack access (adding/removing the last element) Full access Access to internal Java array
Interfaces:
Array,
BitArray,
CharArray,
ByteArray,
ShortArray,
IntArray,
LongArray,
FloatArray,
DoubleArray,
ObjectArray
Interfaces:
UpdatableArray,
UpdatableBitArray,
UpdatableCharArray,
UpdatableByteArray,
UpdatableShortArray,
UpdatableIntArray,
UpdatableLongArray,
UpdatableFloatArray,
UpdatableDoubleArray,
UpdatableObjectArray
Interfaces:
Stack,
BitStack,
CharStack,
ByteStack,
ShortStack,
IntStack,
LongStack,
FloatStack,
DoubleStack,
ObjectStack
Interfaces:
MutableArray,
MutableBitArray,
MutableCharArray,
MutableByteArray,
MutableShortArray,
MutableIntArray,
MutableLongArray,
MutableFloatArray,
MutableDoubleArray,
MutableObjectArray
Interface DirectAccessible: implemented by all arrays excepting bit (boolean) ones and immutable instances
 
Buffer memory model and Large memory model (support all primitive element types)
Read-only access Read/write access Stack access (adding/removing the last element) Full access Access to internal Java array
Interfaces:
Array,
BitArray,
CharArray,
ByteArray,
ShortArray,
IntArray,
LongArray,
FloatArray,
DoubleArray,
(but not ObjectArray)
Interfaces:
UpdatableArray,
UpdatableBitArray,
UpdatableCharArray,
UpdatableByteArray,
UpdatableShortArray,
UpdatableIntArray,
UpdatableLongArray,
UpdatableFloatArray,
UpdatableDoubleArray
(but not UpdatableObjectArray)
Interfaces:
Stack,
BitStack,
CharStack,
ByteStack,
ShortStack,
IntStack,
LongStack,
FloatStack,
DoubleStack,
(but not ObjectStack)
Interfaces:
MutableArray,
MutableBitArray,
MutableCharArray,
MutableByteArray,
MutableShortArray,
MutableIntArray,
MutableLongArray,
MutableFloatArray,
MutableDoubleArray,
(but not MutableObjectArray)
Interface DirectAccessible: is never implemented
 
CombinedMemoryModel memory model (supports only non-primitive element types)
Read-only access Read/write access Stack access (adding/removing the last element) Full access Access to internal Java array
Interfaces:
Array,
ObjectArray,
ObjectInPlaceArray (optional)
Interfaces:
UpdatableArray,
UpdatableObjectArray,
UpdatableObjectInPlaceArray (optional)
Interfaces:
ObjectStack
Interfaces:
MutableArray,
MutableObjectArray,
MutableObjectInPlaceArray (optional)
Interface DirectAccessible: is never implemented

There are special superinterfaces for some groups of primitive types, allowing to specify any array with elements from such groups. The hierarchy is the following:

Also, all subinterfaces of PFixedArray and PFloatingArray are grouped into the common interface PNumberArray (any primitive types excepting boolean and char, alike java.lang.Number class).

There are the same hierarchies for updatable and mutable arrays, but not for stacks.

The maximal supported array length

The maximal possible length of AlgART array depends on the memory model that has created this array. An attempt to create an array with length exceeding the limit, specified by the memory model, or an attempt to increase the length or capacity of an existing array over this limit, leads to TooLargeArrayException (instead of the usual OutOfMemoryError).

The maximal array lengths for different memory models are listed below.

Simple memory model

The maximal array length is defined by the language limitations for arrays. So, it cannot exceed 231-1 — the maximal possible length of Java arrays, excepting bit arrays, that can contain up to 237-1 because they are packed into long[]. However, real Java Machines usually limit the maximal length of arrays by 231-1 bytes (though the language theoretically allows to defined an array with 231-1 elements). It reduces the maximal possible length of AlgART arrays.
The type of elements Theoretical limit for array length Usual real limit for array length
boolean (BitArray) 
char (CharArray) 
byte (ByteArray) 
short (ShortArray) 
int (IntArray) 
long (LongArray) 
float (FloatArray) 
double (DoubleArray) 
Object (ObjectArray)
237-1
231-1
231-1
231-1
231-1
231-1
231-1
231-1
231-1
234-1
230-1
231-1
230-1
229-1
228-1
229-1
228-1
depends on JVM implementation and the size of objects
The real limits are less in 32-bit JVM, that usually cannot utilize 2 GB of memory.
 
Buffer memory model

The maximal array length is defined by the Java API limitations for ByteBuffer class. This API use int type for the buffer length and allows creating direct NIO buffers only as views of ByteBuffer. So, the limit is 231-1 bytes.
The type of elements The limit for array length
boolean (BitArray) 
char (CharArray) 
byte (ByteArray) 
short (ShortArray) 
int (IntArray) 
long (LongArray) 
float (FloatArray) 
double (DoubleArray) 
234-1
230-1
231-1
230-1
229-1
228-1
229-1
228-1
The real limits are less in 32-bit JVM, that usually cannot utilize 2 GB of memory.
 
Large memory model

The maximal array length is limited by 263-1 bytes (the maximal supported file length in Java API and most OS), but also, of course, cannot exceed the common limit 263-1 elements (that is more strict limitation for bit arrays).
The type of elements The limit for array length
boolean (BitArray) 
char (CharArray) 
byte (ByteArray) 
short (ShortArray) 
int (IntArray) 
long (LongArray) 
float (FloatArray) 
double (DoubleArray) 
263-1
262-1
263-1
262-1
261-1
260-1
261-1
260-1
In other words, the limits are so large that the real maximal array length depends only on the available disk space.
 
Combined memory model

The maximal array length depends on the corresponding limit for a memory model, that is used by the combiner which defines an algorithm of storing objects. For example, if the storage is based on Large memory model, the maximal array length usually depends only on the available disk space.

5 levels of protection against unallowed changes

There is an often and important problem to protect some application data against unallowed changes, to avoid hard bugs connected with unexpected damage of application objects. Below is a typical code illustraging this problem:

 DataClass a = ...; // some important data
 someResults = someObject.process(a); // some method that need read-only access to the argument
 

Here a is some "important" data, that must stay immutable while the following call of process method. Maybe, for example, some parallel threads are reading this object now. And someObject.process is a method, which, theoretically, should not correct the passed data: it only analyzes it and creates some result. But it's very possible, that we are not sure, that this method really fulfils it. Maybe, its implementation is downloaded from Internet (and can be written by a hacker to damage our application). Or this method performs very complex tasks, and we cannot be sure that it doesn't contain bugs.

Java arrays offer only one way to protect data against changes and to solve this issue: cloning an array. An example:

 int[] a = ...; // some important array
 int[] protected = (int[])a.clone();
 someResults = someObject.process(protected);
 

Here the process method can corrupt the passed argument, but the original array will stay unchanged.

Standard Java collections, as well as buffers from java.nio package, offer an additional method: making an immutable view. For example:

 List a = ...; // some important list
 List protected = Collections.unmodifiableList(a);
 someResults = someObject.process(protected);
 

Now, if the process method will try to correct the passed argument, an exception will be thrown. This solution has an advantage: no additional memory is required for storing a clone.

AlgART array architecture supports 5 ways for solving this task, including 2 ways described above. We shall compare all them below.

1. Syntactical protection

The 1st solution is the simplest, fastest, but not safe enough. It is a syntactical solution. If the process method does not need to modify its argument, it should be declared with Array argument type, which doesn't contain any mutation methods at all:

 public ResultType process(Array a);
 

A usage example:

 Array a = ...; // maybe, there is MutableArray in this expression
 someResults = someObject.process(a);
 

Of course, it is not a problem to write a "malicious" process method which will correct its argument by operators alike the following: ((MutableArray)a).set(0, ...). However, if process method is written by you or by your colleagues, and you only need to protect against possible bugs, the syntactical protection will help you.

2. Cloning

It is a very simple and absolutely safe solution:

 Array a = ...;
 Array protected = a.updatableClone(); // or a.mutableClone()
 someResults = someObject.process(protected);
 

Unfortunately, such a solution requires additional memory and time, even if the process method, really, does not try do modify its argument.

3. Immutable view

It is a traditional, also simple and absolutely safe method, used by standard Java collections and NIO buffers:

 Array a = ...;
 Array protected = a.asImmutable();
 someResults = someObject.process(protected);
 

The difference from the analogous technique, implemented in standard Java libraries, is absence of "optional" operations. In a case of Java collections, process method will have an ability to call a mutation method for the passed array, but this method will throw an exception. Unlike this, Array.asImmutable() method returns an object that does not implement any interfaces and does not contain any methods, which allow to change data anyhow.

The main defect of this solution is disabling any possible optimization, based on direct access to stored data. For example, DirectAccessible interface can allow access to the Java array, internally used for storing elements. If process method needs a lot of accesses to elements in random order, then using DirectAccessible interface in a separate algorithm branche can optimize the method in times, in a case when the AlgART array is really based on Java arrays. Unfortunately, an immutable view has no right to provide such direct access to internal storage, because it is a possible way to corrupt the array.

4. Trusted immutable view

It is a compromise between absolute safety, provided by cloning and immutable views, and maximal efficiency, achieved while using syntactical protection only. An example of usage:

 Array a = ...;
 Array protected = a.asTrustedImmutable();
 try {
     someResults = someObject.process(protected);
 } finally {
     protected.checkUnallowedMutation();
 }
 

Unlike usual immutable view, a trusted immutable view may implement some interfaces, that allow to change the array content — only if it is really necessary for optimization. (The only example of such interface in this package is DirectAccessible.) So, the process method can corrupt the original array a. However, any changes in the original array will be detected by the following call "protected.checkUnallowedMutation()" with almost 100% probability, and if the array was changed, UnallowedMutationError will be thrown. To detect changes, checkUnallowedMutation usually calculates a hash code and compares it with the hash code calculated in asTrustedImmutable method.

This technique is a suitable solution if you trust the authors of process method (for example, it is written by you or your colleagues), but this method is not trivial and you are not sure that all possible bugs in this method are already fixed. Unlike all other 4 protection methods, it is the only way to automatically detect such bugs: so, trusted immutable views can be very useful in a stage of testing application.

This solution have the following defects.

5. Copy-on-next-write view

It is a more efficent alternative to cloning an array. This solution is also absolutely safe, but, sometimes, it requires additional memory and time. An example:

 Array a = ...;
 Array protected = a.asCopyOnNextWrite();
 someResults = someObject.process(protected);
 

Now process method may freely change the passed argument (if it implements necessary interfaces). However, the first (not further!) attempt to modify the passed protected array, or any other access that can lead to its modification (like DirectAccessible.javaArray() method), will lead to reallocation of the underlying storage, used for array elements, before performing the operation. It means that modification will not affect the original a array, but only protected array.

This solution is the best choince, if you need a strict guarantee that the original array will not be modified (that is not provided by trusted immutable views), and you don't need a guarantee that no additional memory will be occupied. If the process method will not try to modify the array or use optimization interfaces alike DirectAccessible, then this solution will provide the maximal efficiency. If the method will try to get direct access for optimization via DirectAccessible interface, then the internal data will be cloned at this moment, that can require additional memory and time, but all further accesses to elements will work with maximal efficiency.

This solution have the following defects.

Multithreading and synchronization

Immutable AlgART arrays are absolutely thread-safe and can be used simultaneously in several threads. Moreover, even if an AlgART array is mutable (for example, implements MutableArray), but all threads, accessing it, only read data from it and do not attempt to modify the array by any way, then this array is also thread-safe and no synchronization is required. (The same rules are correct for usual Java arrays.)

If there are 2 or more threads accessing an AlgART array, and at least one from them modifies it (for example, changes elements or the length), then you should synchronize access to the array. Without external synchronization, the resulting data in the array will be unspecified. However, if you do not use any methods from MutableArray / Stack interfaces and their inheritor, but only read and write elements via methods provided UpdatableArray interface (and its versions for concrete element types), then the behavior while simultaneous multithreading access will be the same as for usual Java arrays. In particular, access to one element will never affect another elements. So, you can correctly simultaneously work with several non-overlapping sets of elements of the same array from several threads without synchronization, if different threads work with different sets. (Please compare: the standard java.util.BitSet class does not provide such guarantees.)

Runtime exceptions and errors

The methods of classes implementing AlgART arrays, usually, can throw exceptions declared in the Javadoc comments to methods. In addition, there are following exception, that can be thrown by methods and are not always specified in comments.

System properties used for customizing AlgART arrays

Behavior of AlgART arrays depends on some system properties, that allow to customize many important aspects. Below is the list of these properties.

"net.algart.arrays.CPUCount"
Defines the number of processors that should be used for multithreading optimization. If not exists, or zero, or negative, then Runtime.getRuntime().availableProcessors() will be used instead. See Arrays.SystemSettings.cpuCountProperty() for more details.
"net.algart.arrays.globalMemoryModel"
Defines the default memory model, that can be used in your classes which need AlgART arrays. The simple memory model is used by default. See Arrays.SystemSettings.globalMemoryModel() for more details.
"net.algart.arrays.maxTempJavaMemory"
Defines the maximal amount of usual Java memory, in bytes, which can be freely used by methods, processing AlgART arrays, for internal needs and for creating results. May contain any nonnegative long value. Default value is 33554432 (32 MB). See Arrays.SystemSettings.maxTempJavaMemory() for more details.
"net.algart.arrays.maxTempJavaMemoryForTiling"
Defines the maximal amount of usual Java memory, in bytes, which can be used by methods, performing conversion AlgART matrices into the tiled form and inversely from the tiled form. May contain any nonnegative long value. Default value is max(134217728,Arrays.SystemSettings.maxTempJavaMemory()) (134217728=128 MB). See Arrays.SystemSettings.maxTempJavaMemoryForTiling() for more details.
"net.algart.arrays.maxMultithreadingMemory"
Defines the maximal size of memory block, in bytes, that should be processed in several threads for optimization on multiprocessor or multi-core computers. May contain any positive long value. Default value is 1048576) (1 MB). See Arrays.SystemSettings.maxMultithreadingMemory() for more details.
"net.algart.arrays.maxMappedMemory"
Defines the maximal amount of system memory, in bytes, allowed for simultaneous mapping by DefaultDataFileModel class. May contain any nonnegative long value. Default value is 536870912 (512 MB). See DefaultDataFileModel.maxMappedMemory() for more details.
"net.algart.arrays.globalThreadPoolSize"
Defines the number of threads in the global system thread pool that will be used for multithreading optimization. If zero or negative, then the thread pools will be created on demand. If not exists, the global thread pool with Math.max(2, Runtime.getRuntime().availableProcessors()) threads (default value) will be used. See DefaultThreadPoolFactory.globalThreadPool() for more details.
"net.algart.arrays.globalDiskSynchronizer"
Defines the default disk synchronizer, that will be used for synchronization of all disk operations, performed by this package. See Arrays.SystemSettings.globalDiskSynchronizer() for more details.
"net.algart.arrays.profiling"
Defines whether the algorithms, processing AlgART arrays, should write to logs some timing information. May be "false" or "true". Default value is identical to "-ea" JVM flag: if java was called with "-ea" flag (assertions are enabled), the default profiling mode is true, in other case it is false. See Arrays.SystemSettings.profilingMode() for more details.
"net.algart.arrays.LargeMemoryModel.dataFileModel"
Defines the default data file model, used by the Large memory model. DefaultDataFileModel is used by default. See LargeMemoryModel.getInstance() for more details.
"net.algart.arrays.DefaultDataFileModel.numberOfBanksPerCPU"
Defines the number of banks per each existing CPU or CPU kernel, used by the default data file model. Default value is 3. See DefaultDataFileModel.recommendedNumberOfBanks() for more details.
"net.algart.arrays.DefaultDataFileModel.bankSize"
Defines the size of banks, used by the default data file model for unresizable arrays (on 64-bit Java machines). Default value is 33554432 (32 MB). See DefaultDataFileModel.recommendedBankSize(boolean) with true argument for more details.
"net.algart.arrays.DefaultDataFileModel.resizableBankSize"
Defines the size of banks, used by the default data file model for resizable arrays (on 64-bit Java machines). Default value is 4194304 (4 MB). See DefaultDataFileModel.recommendedBankSize(boolean) with false argument for more details.
"net.algart.arrays.DefaultDataFileModel.singleMappingLimit"
Defines the limit for file size, so that less unresizable files are mapped only once in the default data file model (on 64-bit Java machines). Default value is 67108864 (64 MB). See DefaultDataFileModel.recommendedSingleMappingLimit() for more details.
"net.algart.arrays.DefaultDataFileModel.bankSize32"
Defines the size of banks, used by the default data file model for unresizable arrays (on 32-bit Java machines). Default value is 4194304 (4 MB). See DefaultDataFileModel.recommendedBankSize(boolean) with true argument for more details.
"net.algart.arrays.DefaultDataFileModel.resizableBankSize32"
Defines the size of banks, used by the default data file model for resizable arrays (on 32-bit Java machines). Default value is 2097152 (2 MB). See DefaultDataFileModel.recommendedBankSize(boolean) with false argument for more details.
"net.algart.arrays.DefaultDataFileModel.singleMappingLimit32"
Defines the limit for file size, so that less unresizable files are mapped only once in the default data file model (on 32-bit Java machines). Default value is 4194304 (4 MB). See DefaultDataFileModel.recommendedSingleMappingLimit() for more details.
"net.algart.arrays.DefaultDataFileModel.autoResizingOnMapping"
Defines whether AlgART mapping manager in the default data file model should increase the file size via standard I/O API, or it is increased automatically as a result of new mappings. Default value is false. See DefaultDataFileModel.autoResizingOnMapping() for more details.
"net.algart.arrays.DefaultDataFileModel.lazyWriting"
Defines whether the default data file model will use lazy-writing mode by default. Default value is true in Java 1.7 or higher Java version and false in Java 1.5 and Java 1.6. See DefaultDataFileModel.DefaultDataFileModel(java.io.File, long) consturctor for more details.
"net.algart.arrays.StandardIODataFileModel.numberOfBanks"
Defines the number of banks, used by the alternative data file model. Default value is 32. See StandardIODataFileModel.recommendedNumberOfBanks() for more details.
"net.algart.arrays.StandardIODataFileModel.bankSize"
Defines the size of banks, used by alternative data file model for both resizable and unresizable arrays. Default value is 65536 (64 KB). See StandardIODataFileModel.recommendedBankSize(boolean) for more details.

All these properties, excepting "net.algart.arrays.CPUCount", are loaded while initilization of the corresponding classes. So, any changes of them will be applied only at the next start of the Java application.

Note: all properties containing integer values, excepting "net.algart.arrays.CPUCount", can contain a suffix K, M, G, T (or k, m, g, t), that means that the integer value, specified before this suffix, is multiplied by 1024 (210, "Kilo"), 1048576 (220, "Mega"), 1073741824 (230, "Giga") or 1099511627776 (240, "Tera") correspondingly. For example, you can specify -Dnet.algart.arrays.DefaultDataFileModel.bankSize=64m to set the bank size to 64 MB.

Note: the properties "net.algart.arrays.maxTempJavaMemory", "net.algart.arrays.maxTempJavaMemoryForTiling", "net.algart.arrays.maxMultithreadingMemory", "net.algart.arrays.maxMappedMemory" are limited by the value 256~7.2*1016: if one of these properties exceeds this value, this limit is used instead. It guarantees that using the values of these properties will never lead to integer overflows.

The most important properties, that usually should be customized, are "net.algart.arrays.CPUCount" (in applications that prefer not to use all available processors), "net.algart.arrays.maxTempJavaMemory" and "net.algart.arrays.maxMappedMemory". Other properties can be not customized in most cases.

There are some other system properties, starting with "net.algart.arrays." substring, used for internal goals. They are undocumented and should not be used in your applications.

Built-in logging

Some classes implementing AlgART arrays logs some situations via standard java.util.logging tools. Now 2 loggers are used:

We don't specify what situations are logged with levels FINE or lower. Below is the information about logging with higher levels.

Tasks that are better solved by standard Java collections

The following tasks are not well solved in this architecture: please use standard Java libraries in these cases.

AlgART Laboratory 2007-2010

Since:
JDK 1.5
Version:
1.2
Author:
Daniel Alievsky