JML

java.util
Class TreeSet

java.lang.Object
  extended byjava.util.AbstractCollection
      extended byjava.util.AbstractSet
          extended byjava.util.TreeSet
All Implemented Interfaces:
Cloneable, Collection, Serializable, Set, SortedSet

public class TreeSet
extends AbstractSet
implements SortedSet, Cloneable, Serializable

JML's specification of java.util.TreeSet.

Version:
$Revision: 1.11 $
Author:
Katie Becker, Gary T. Leavens

Class Specifications

Specifications inherited from class Object
represents objectState <- org.jmlspecs.lang.JMLDataGroup.IT;
public represents _getClass <- \typeof(this);

Specifications inherited from interface Set
instance public represents theCollection <- this.theSet.toBag();

Specifications inherited from interface Collection
instance public invariant this.elementType == this.theCollection.elementType;
instance public invariant this.containsNull == this.theCollection.containsNull;
instance public invariant !this.nullElementsSupported ==> !this.containsNull;

Model Field Summary
 
Model fields inherited from class java.lang.Object
_getClass, objectState, theString
 
Model fields inherited from interface java.util.SortedSet
firstElement, lastElement
 
Model fields inherited from interface java.util.Set
theSet
 
Model fields inherited from interface java.util.Collection
addOperationSupported, elementState, nullElementsSupported, removeOperationSupported, theCollection
 
Ghost Field Summary
 
Ghost fields inherited from class java.lang.Object
objectTimesFinalized, owner
 
Ghost fields inherited from interface java.util.Collection
containsNull, elementType
 
Constructor Summary
TreeSet()
           
TreeSet(Collection c)
           
TreeSet(Comparator c)
           
TreeSet(SortedSet s)
           
 
Model Method Summary
 
Model methods inherited from class java.lang.Object
hashValue
 
Model methods inherited from interface java.util.Collection
hashValue
 
Method Summary
 boolean add(nullable Object o)
           
 boolean addAll(Collection c)
           
 void clear()
           
 Object clone()
           
 Comparator comparator()
           
 boolean contains(nullable Object o)
           
 Object first()
           
 SortedSet headSet(Object toElement)
           
 boolean isEmpty()
           
 Iterator iterator()
           
 Object last()
           
 boolean remove(nullable Object o)
           
 int size()
           
 SortedSet subSet(Object fromElement, Object toElement)
           
 SortedSet tailSet(Object fromElement)
           
 
Methods inherited from class java.util.AbstractSet
equals, hashCode, removeAll
 
Methods inherited from class java.util.AbstractCollection
containsAll, retainAll, toArray, toArray, toString
 
Methods inherited from class java.lang.Object
finalize, getClass, notify, notifyAll, wait, wait, wait
 
Methods inherited from interface java.util.Set
containsAll, equals, hashCode, removeAll, retainAll, toArray, toArray
 

Constructor Detail

TreeSet

public TreeSet()
Specifications:
public normal_behavior
assignable theSet;
ensures this.theSet != null&&this.theSet.isEmpty();

TreeSet

public TreeSet(Comparator c)
Specifications:
public normal_behavior
assignable theSet;
ensures this.theSet != null&&this.theSet.isEmpty();

TreeSet

public TreeSet(Collection c)
Specifications:
public normal_behavior
assignable theSet;
ensures this.theSet != null&&this.theSet.equals(org.jmlspecs.models.JMLEqualsSet.convertFrom(c));

TreeSet

public TreeSet(SortedSet s)
Specifications:
public normal_behavior
requires s != null;
assignable theSet;
ensures this.theSet != null&&this.theSet.equals(s.theSet);
     also
public exceptional_behavior
requires s == null;
assignable theSet;
signals_only java.lang.NullPointerException;
Method Detail

iterator

public Iterator iterator()
Specified by:
iterator in interface Set
Specifications: pure
Specifications inherited from overridden method in class AbstractCollection:
       pure
Specifications inherited from overridden method in interface Set:
       pure
Specifications inherited from overridden method in interface Collection:
       pure non_null
public normal_behavior
assignable \nothing;
ensures \result != null;
ensures \result .elementType == this.elementType;
ensures this.containsNull == \result .returnsNull;
     also
public normal_behavior
ensures ( \forall int i; 0 <= i&&i < this.size(); this.theCollection.has(\result .nthNextElement(i)));
ensures ( \forall java.lang.Object o; ; this.theCollection.has(o) ==> ( \exists int i; 0 <= i&&i < this.size(); o.equals(\result .nthNextElement(i))));
ensures this.size() > 0 ==> \result .hasNext((int)(this.size()-1));
ensures !\result .hasNext((int)(this.size()));
ensures_redundantly ( \forall int i; 0 <= i&&i < this.size(); this.contains(\result .nthNextElement(i)));
ensures_redundantly this.size() != 0 ==> \result .moreElements;

size

public int size()
Specified by:
size in interface Set
Specifications: pure
Specifications inherited from overridden method in class AbstractCollection:
       pure
Specifications inherited from overridden method in interface Set:
       pure
Specifications inherited from overridden method in interface Collection:
       pure
public normal_behavior
assignable \nothing;
ensures \result == this.theCollection.int_size();
ensures \result >= 0;

isEmpty

public boolean isEmpty()
Specified by:
isEmpty in interface Set
Overrides:
isEmpty in class AbstractCollection
Specifications: pure
Specifications inherited from overridden method in class AbstractCollection:
       pure
Specifications inherited from overridden method in interface Set:
       pure
Specifications inherited from overridden method in interface Collection:
       pure
public normal_behavior
assignable \nothing;
ensures \result <==> this.theCollection.isEmpty();
     also
public normal_behavior
ensures \result == (this.size() == 0);

contains

public boolean contains(nullable Object o)
Specified by:
contains in interface Set
Overrides:
contains in class AbstractCollection
Specifications: pure
Specifications inherited from overridden method in class AbstractCollection:
       pure
Specifications inherited from overridden method in interface Set:
       pure
Specifications inherited from overridden method contains(Object o) in interface Collection:
       pure
public behavior
assignable \nothing;
ensures !this.containsNull&&o == null ==> !\result ;
ensures (o == null)||\typeof(o) <: this.elementType||!\result ;
ensures \result <==> this.theCollection.has(o);
signals_only java.lang.ClassCastException, java.lang.NullPointerException;
signals (java.lang.ClassCastException) (* \typeof(o) is incompatible with the elementType of this collection *);
signals (java.lang.NullPointerException) o == null;

add

public boolean add(nullable Object o)
Specified by:
add in interface Set
Overrides:
add in class AbstractCollection
Specifications inherited from overridden method in class AbstractCollection:
      --- None ---
Specifications inherited from overridden method add(Object o) in interface Set:
     also
public behavior
assignable theCollection;
ensures \result <==> !\old(this.theSet.has(o));
ensures this.theSet.equals(\old(this.theSet.insert(o)));
Specifications inherited from overridden method add(Object o) in interface Collection:
public behavior
requires !this.containsNull ==> o != null;
requires (o == null)||\typeof(o) <: this.elementType;
assignable theCollection;
ensures \result ==> this.theCollection.equals(\old(this.theCollection.insert(o)));
ensures \result &&\old(this.size() < 2147483647) ==> this.size() == \old(this.size()+1);
ensures !\result ==> this.size() == \old(this.size());
ensures !\result ==> \not_modified(theCollection);
ensures this.contains(o);
ensures_redundantly !\result ==> \old(this.contains(o));
signals_only java.lang.UnsupportedOperationException, java.lang.NullPointerException, java.lang.ClassCastException, java.lang.IllegalArgumentException;
signals (java.lang.UnsupportedOperationException) (* this does not support add *);
signals (java.lang.NullPointerException) (* not allowed to add null *);
signals (java.lang.ClassCastException) (* class of specified element prevents it from being added to this *);
signals (java.lang.IllegalArgumentException) (* some aspect of this element prevents it from being added to this *);

remove

public boolean remove(nullable Object o)
Specified by:
remove in interface Set
Overrides:
remove in class AbstractCollection
Specifications inherited from overridden method in class AbstractCollection:
      --- None ---
Specifications inherited from overridden method remove(Object o) in interface Set:
    implies_that
public behavior
assignable theCollection;
assignable_redundantly theSet;
ensures !this.theSet.has(o);
ensures_redundantly !this.theCollection.has(o);
Specifications inherited from overridden method remove(Object o) in interface Collection:
public behavior
requires !this.containsNull ==> o != null;
requires (o == null)||\typeof(o) <: this.elementType;
assignable theCollection;
ensures \result ==> this.theCollection.equals(\old(this.theCollection.remove(o)));
ensures \result &&\old(this.size() <= 2147483647) ==> this.size() == \old(this.size()-1)&&this.size() < 2147483647&&this.size() >= 0;
ensures !\result ||\old(this.size() == 2147483647) ==> this.size() == \old(this.size());
signals_only java.lang.UnsupportedOperationException, java.lang.ClassCastException;
signals (java.lang.UnsupportedOperationException) (* this does not support remove *);
signals (java.lang.ClassCastException) (* the type of this element is not compatible with this *);

clear

public void clear()
Specified by:
clear in interface Set
Overrides:
clear in class AbstractCollection
Specifications inherited from overridden method in class AbstractCollection:
      --- None ---
Specifications inherited from overridden method in interface Set:
      --- None ---
Specifications inherited from overridden method in interface Collection:
public behavior
assignable theCollection;
ensures this.theCollection.isEmpty();
ensures_redundantly this.size() == 0;
signals_only java.lang.UnsupportedOperationException;
signals (java.lang.UnsupportedOperationException) (* clear is not supported by this *);

addAll

public boolean addAll(Collection c)
Specified by:
addAll in interface Set
Overrides:
addAll in class AbstractCollection
Specifications inherited from overridden method in class AbstractCollection:
      --- None ---
Specifications inherited from overridden method addAll(Collection c) in interface Set:
     also
public behavior
assignable theCollection;
ensures this.theSet.equals(\old(this.theSet).union(org.jmlspecs.models.JMLEqualsSet.convertFrom(c)))&&(\result ==> !this.theSet.equals(\old(this.theSet)));
Specifications inherited from overridden method addAll(Collection c) in interface Collection:
public behavior
requires c != null;
requires c.elementType <: this.elementType;
requires !this.containsNull ==> !c.containsNull;
assignable theCollection;
ensures this.theCollection.equals(\old(this.theCollection).union(c.theCollection));
signals_only java.lang.UnsupportedOperationException, java.lang.ClassCastException, java.lang.IllegalArgumentException, java.lang.NullPointerException;
signals (java.lang.UnsupportedOperationException) (* this does not support addAll *);
signals (java.lang.ClassCastException) (* class of specified element prevents it from being added to this *);
signals (java.lang.IllegalArgumentException) (* some aspect of this element prevents it from being added to this *);
signals (java.lang.NullPointerException) (* argument contains null elements and this does not support null elements *);
     also
public exceptional_behavior
requires c == null;
assignable \nothing;
signals_only java.lang.NullPointerException;

subSet

public SortedSet subSet(Object fromElement,
                        Object toElement)
Specified by:
subSet in interface SortedSet
Specifications: (inherited)pure
Specifications inherited from overridden method subSet(Object fromElement, Object toElement) in interface SortedSet:
       (class)pure
public behavior
ensures \result != null;
signals_only java.lang.ClassCastException, java.lang.IllegalArgumentException, java.lang.NullPointerException;
signals (java.lang.ClassCastException) (* \typeof(fromElement) or \typeof(toElement) is incompatible with this set's comparator *);
signals (java.lang.IllegalArgumentException) (* fromElement > toElement || fromElement or toElement is not within the domain of the SortedSet *);
signals (java.lang.NullPointerException) (fromElement == null||toElement == null)&&!this.containsNull;

headSet

public SortedSet headSet(Object toElement)
Specified by:
headSet in interface SortedSet
Specifications: (inherited)pure
Specifications inherited from overridden method headSet(Object toElement) in interface SortedSet:
       (class)pure
public behavior
ensures (\result .firstElement.equals(this.firstElement));
ensures \result != null;
signals_only java.lang.ClassCastException, java.lang.IllegalArgumentException, java.lang.NullPointerException;
signals (java.lang.ClassCastException) (* \typeof(toElement) is incompatible with with this set's comparator *);
signals (java.lang.IllegalArgumentException) (* toElement is not within the domain of the SortedSet *);
signals (java.lang.NullPointerException) toElement == null&&!this.containsNull;

tailSet

public SortedSet tailSet(Object fromElement)
Specified by:
tailSet in interface SortedSet
Specifications: (inherited)pure
Specifications inherited from overridden method tailSet(Object fromElement) in interface SortedSet:
       (class)pure
public behavior
ensures \result != null;
signals_only java.lang.ClassCastException, java.lang.IllegalArgumentException, java.lang.NullPointerException;
signals (java.lang.ClassCastException) (* \typeof(fromElement) is incompatible with this set's comparator *);
signals (java.lang.IllegalArgumentException) (* fromKey is not within the domain of the SortedSet *);
signals (java.lang.NullPointerException) fromElement == null&&!this.containsNull;

comparator

public Comparator comparator()
Specified by:
comparator in interface SortedSet
Specifications: (inherited)pure
Specifications inherited from overridden method in interface SortedSet:
       pure
public normal_behavior
ensures true;

first

public Object first()
Specified by:
first in interface SortedSet
Specifications: (inherited)pure
Specifications inherited from overridden method in interface SortedSet:
       (class)pure
public behavior
ensures \result .equals(this.firstElement);
signals_only java.util.NoSuchElementException;
signals (java.util.NoSuchElementException) this.theSet.isEmpty();

last

public Object last()
Specified by:
last in interface SortedSet
Specifications: (inherited)pure
Specifications inherited from overridden method in interface SortedSet:
       (class)pure
public behavior
ensures \result .equals(this.lastElement);
signals_only java.util.NoSuchElementException;
signals (java.util.NoSuchElementException) this.theSet.isEmpty();

clone

public Object clone()
Overrides:
clone in class Object
Specifications: pure
     also
public normal_behavior
ensures \result instanceof java.util.TreeSet&&\fresh(\result )&&((java.util.TreeSet)\result ).equals(this);
ensures_redundantly \result != this;
Specifications inherited from overridden method in class Object:
       non_null
protected normal_behavior
requires this instanceof java.lang.Cloneable;
assignable \nothing;
ensures \result != null;
ensures \typeof(\result ) == \typeof(this);
ensures (* \result is a clone of this *);
     also
protected normal_behavior
requires this.getClass().isArray();
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures ((java.lang.Object[])\result ).length == ((java.lang.Object[])this).length;
ensures ( \forall int i; 0 <= i&&i < ((java.lang.Object[])this).length; ((java.lang.Object[])\result )[i] == ((java.lang.Object[])this)[i]);
     also
requires this.getClass().isArray();
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures java.lang.reflect.Array.getLength(\result ) == java.lang.reflect.Array.getLength(this);
ensures ( \forall int i; 0 <= i&&i < java.lang.reflect.Array.getLength(this); ( \exists java.lang.Object result_i; result_i == java.lang.reflect.Array.get(\result ,i); (result_i == null&&java.lang.reflect.Array.get(this,i) == null)||(result_i != null&&result_i.equals(java.lang.reflect.Array.get(this,i)))));
     also
protected exceptional_behavior
requires !(this instanceof java.lang.Cloneable);
assignable \nothing;
signals_only java.lang.CloneNotSupportedException;
     also
protected normal_behavior
requires \elemtype(\typeof(this)) <: \type(java.lang.Object);
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures ((java.lang.Object[])\result ).length == ((java.lang.Object[])this).length;
ensures ( \forall int i; 0 <= i&&i < ((java.lang.Object[])this).length; ((java.lang.Object[])\result )[i] == ((java.lang.Object[])this)[i]);
     also
protected normal_behavior
requires \elemtype(\typeof(this)) == \type(int);
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures ((int[])\result ).length == ((int[])this).length;
ensures ( \forall int i; 0 <= i&&i < ((int[])this).length; ((int[])\result )[i] == ((int[])this)[i]);
     also
protected normal_behavior
requires \elemtype(\typeof(this)) == \type(byte);
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures ((byte[])\result ).length == ((byte[])this).length;
ensures ( \forall int i; 0 <= i&&i < ((byte[])this).length; ((byte[])\result )[i] == ((byte[])this)[i]);
     also
protected normal_behavior
requires \elemtype(\typeof(this)) == \type(char);
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures ((char[])\result ).length == ((char[])this).length;
ensures ( \forall int i; 0 <= i&&i < ((char[])this).length; ((char[])\result )[i] == ((char[])this)[i]);
     also
protected normal_behavior
requires \elemtype(\typeof(this)) == \type(long);
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures ((long[])\result ).length == ((long[])this).length;
ensures ( \forall int i; 0 <= i&&i < ((long[])this).length; ((long[])\result )[i] == ((long[])this)[i]);
     also
protected normal_behavior
requires \elemtype(\typeof(this)) == \type(short);
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures ((short[])\result ).length == ((short[])this).length;
ensures ( \forall int i; 0 <= i&&i < ((short[])this).length; ((short[])\result )[i] == ((short[])this)[i]);
     also
protected normal_behavior
requires \elemtype(\typeof(this)) == \type(boolean);
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures ((boolean[])\result ).length == ((boolean[])this).length;
ensures ( \forall int i; 0 <= i&&i < ((boolean[])this).length; ((boolean[])\result )[i] == ((boolean[])this)[i]);
     also
protected normal_behavior
requires \elemtype(\typeof(this)) == \type(float);
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures ((float[])\result ).length == ((float[])this).length;
ensures ( \forall int i; 0 <= i&&i < ((float[])this).length; (java.lang.Float.isNaN(((float[])\result )[i])&&java.lang.Float.isNaN(((float[])this)[i]))||((float[])\result )[i] == ((float[])this)[i]);
     also
protected normal_behavior
requires \elemtype(\typeof(this)) == \type(double);
assignable \nothing;
ensures \elemtype(\typeof(\result )) == \elemtype(\typeof(this));
ensures ((double[])\result ).length == ((double[])this).length;
ensures ( \forall int i; 0 <= i&&i < ((double[])this).length; (java.lang.Double.isNaN(((double[])\result )[i])&&java.lang.Double.isNaN(((double[])this)[i]))||((double[])\result )[i] == ((double[])this)[i]);

JML

JML is Copyright (C) 1998-2002 by Iowa State University and is distributed under 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 release depends on code from the MultiJava project and is based in part on the Kopi project Copyright (C) 1990-99 DMS Decision Management Systems Ges.m.b.H.