JML

org.jmlspecs.models
Class JMLDouble

java.lang.Object
  extended byorg.jmlspecs.models.JMLDouble
All Implemented Interfaces:
Cloneable, Comparable, JMLComparable, JMLType, Serializable

public strictfp class JMLDouble
extends Object
implements JMLComparable

A reflection of Double that implements JMLType.

Version:
$Revision: 1.34 $
Author:
Brandon Shilling, Gary T. Leavens, David Cok
See Also:
Double, JMLDouble

Class Specifications
public invariant this.owner == null;
private represents theDouble <- this.doubleValue;

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

Specifications inherited from interface Comparable
instance public invariant ( \forall java.lang.Comparable x; x != null; x.compareTo(x) == 0);
instance public invariant ( \forall java.lang.Comparable x, y; x != null&&y != null&&this.definedComparison(x,y)&&this.definedComparison(y,x); this.sgn(x.compareTo(y)) == -this.sgn(y.compareTo(x)));
instance public invariant ( \forall int n; n == -1||n == 1; ( \forall java.lang.Comparable x, y, z; x != null&&y != null&&z != null&&this.definedComparison(x,y)&&this.definedComparison(y,z)&&this.definedComparison(x,z); this.sgn(x.compareTo(y)) == n&&this.sgn(y.compareTo(z)) == n ==> this.sgn(x.compareTo(z)) == n));
instance public invariant ( \forall int n; n == -1||n == 1; ( \forall java.lang.Comparable x, y, z; x != null&&y != null&&z != null&&this.definedComparison(x,y)&&this.definedComparison(y,z)&&this.definedComparison(x,z); (this.sgn(x.compareTo(y)) == 0&&this.sgn(y.compareTo(z)) == n||this.sgn(x.compareTo(y)) == n&&this.sgn(y.compareTo(z)) == 0) ==> this.sgn(x.compareTo(z)) == n));
instance public invariant ( \forall java.lang.Comparable x, y, z; x != null&&y != null&&z != null&&this.definedComparison(x,y)&&this.definedComparison(x,z)&&this.definedComparison(y,z); this.sgn(x.compareTo(y)) == 0 ==> this.sgn(x.compareTo(z)) == this.sgn(y.compareTo(z)));

Model Field Summary
 double theDouble
          The double that is the abstract value of this object.
 
Model fields inherited from class java.lang.Object
_getClass, objectState, theString
 
Ghost Field Summary
 
Ghost fields inherited from class java.lang.Object
objectTimesFinalized, owner
 
Field Summary
[spec_public] private  double doubleValue
           
 
Constructor Summary
JMLDouble()
          Initialize this object to contain zero.
JMLDouble(double inDouble)
          Initialize this object to contain the given double.
JMLDouble(int inInt)
          Initialize this object to contain an approximation to the given integer.
JMLDouble(non_null Double inDouble)
          Initialize this object to contain the value of the given Double.
JMLDouble(non_null String s)
          Initialize this object to contain the value given by the string argument.
 
Model Method Summary
 
Model methods inherited from class java.lang.Object
hashValue
 
Model methods inherited from interface java.lang.Comparable
definedComparison, sgn
 
Method Summary
 boolean approximatelyEqualTo(double d2, double epsilon)
          Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.
static boolean approximatelyEqualTo(double d1, double d2, double epsilon)
          Tell whether relative difference of the two arguments is within the given epsilon.
 boolean approximatelyEqualTo(non_null Double d2, double epsilon)
          Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.
 boolean approximatelyEqualTo(non_null JMLDouble d2, double epsilon)
          Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.
static boolean approximatelyEqualTo(non_null JMLDouble d1, double d2, double epsilon)
          Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.
static boolean approximatelyEqualTo(non_null JMLDouble d1, non_null Double d2, double epsilon)
          Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.
static boolean approximatelyEqualTo(non_null JMLDouble d1, non_null JMLDouble d2, double epsilon)
          Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.
 Object clone()
          Return a clone of this object.
 int compareTo(non_null Object op2)
          Compare this to op2, returning a comparison code.
 JMLDouble dividedBy(non_null JMLDouble d2)
          Return the quotient of this divided by the given argument.
 double doubleValue()
          Return the double contained in this object.
 boolean equals(nullable Object op2)
          Tell whether this object is equal to the argument.
 Double getDouble()
          Return a Double containing the double contained in this object.
 boolean greaterThan(non_null JMLDouble d2)
          Tell whether this is strictly greater than the given argument.
 boolean greaterThanOrEqualTo(non_null JMLDouble d2)
          Tell whether this is greater than or equal to the given argument.
 int hashCode()
          Return a hash code for this object.
 boolean isInfinite()
          Tell if this object contains either positive or negative infinity.
 boolean isNaN()
          Tell if this object contains NaN (not a number).
 boolean isZero()
          Tell if this object contains zero (either positive or negative).
static boolean isZero(double d)
          Tell if the argument is zero (either positive or negative).
 boolean lessThan(non_null JMLDouble d2)
          Tell whether this is strictly less than the given argument.
 boolean lessThanOrEqualTo(non_null JMLDouble d2)
          Tell whether this is less than or equal to the given argument.
 JMLDouble minus(non_null JMLDouble d2)
          Return the difference between this and the given argument.
 JMLDouble negated()
          Return the negation of this.
 JMLDouble plus(non_null JMLDouble d2)
          Return the sum of this and the given argument.
 JMLDouble remainderBy(non_null JMLDouble d2)
          Return the remainder of this divided by the given argument.
 JMLDouble times(non_null JMLDouble d2)
          Return the product of this and the given argument.
 String toString()
          Return a string representation of this object.
 boolean withinEpsilonOf(double d2, double epsilon)
          Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.
static boolean withinEpsilonOf(double d1, double d2, double epsilon)
          Tell whether absolute value of difference of the two arguments is within the given epsilon.
 boolean withinEpsilonOf(non_null Double d2, double epsilon)
          Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.
 boolean withinEpsilonOf(non_null JMLDouble d2, double epsilon)
          Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.
static boolean withinEpsilonOf(non_null JMLDouble d1, double d2, double epsilon)
          Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.
static boolean withinEpsilonOf(non_null JMLDouble d1, non_null Double d2, double epsilon)
          Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.
static boolean withinEpsilonOf(non_null JMLDouble d1, non_null JMLDouble d2, double epsilon)
          Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.
 
Methods inherited from class java.lang.Object
finalize, getClass, notify, notifyAll, wait, wait, wait
 

Model Field Detail

theDouble

public double theDouble
The double that is the abstract value of this object.

Specifications:
datagroup contains: doubleValue
Field Detail

doubleValue

private double doubleValue
Specifications: spec_public
is in groups: theDouble
Constructor Detail

JMLDouble

public JMLDouble()
Initialize this object to contain zero.

Specifications: (class)pure
public normal_behavior
assignable theDouble, owner;
ensures this.theDouble == 0.0;

JMLDouble

public JMLDouble(double inDouble)
Initialize this object to contain the given double.

Specifications: (class)pure
public normal_behavior
requires !java.lang.Double.isNaN(inDouble);
assignable theDouble, owner;
ensures this.theDouble == inDouble;
     also
public normal_behavior
requires java.lang.Double.isNaN(inDouble);
assignable theDouble, owner;
ensures java.lang.Double.isNaN(this.theDouble);

JMLDouble

public JMLDouble(int inInt)
Initialize this object to contain an approximation to the given integer.

Specifications: (class)pure
public normal_behavior
assignable theDouble, owner;
ensures this.theDouble == inInt;

JMLDouble

public JMLDouble(non_null Double inDouble)
Initialize this object to contain the value of the given Double.

Specifications: (class)pure
public normal_behavior
requires inDouble != null&&!inDouble.isNaN();
assignable theDouble, owner;
ensures this.theDouble == inDouble.doubleValue();
     also
public normal_behavior
requires inDouble != null&&inDouble.isNaN();
assignable theDouble;
ensures java.lang.Double.isNaN(this.theDouble);

JMLDouble

public JMLDouble(non_null String s)
          throws NumberFormatException
Initialize this object to contain the value given by the string argument.

Throws:
NumberFormatException
Specifications: (class)pure
public behavior
requires s != null;
assignable theDouble, owner;
ensures (* s is a parseable string that has the format of a double precision floating point literal *)&&this.theDouble == new java.lang.Double(s).doubleValue();
signals_only java.lang.NumberFormatException;
signals (java.lang.NumberFormatException) !(* s is a parseable string that has the format of a double precision floating point literal *);
Method Detail

isInfinite

public boolean isInfinite()
Tell if this object contains either positive or negative infinity.

Specifications: (class)pure
public normal_behavior
ensures \result <==> (this.theDouble == Infinity)||(this.theDouble == -Infinity);

isNaN

public boolean isNaN()
Tell if this object contains NaN (not a number).

Specifications: (class)pure
public normal_behavior
ensures \result <==> (this.theDouble != this.theDouble);

clone

public Object clone()
Return a clone of this object.

Specified by:
clone in interface JMLType
Overrides:
clone in class Object
Specifications: (class)pure
     also
public normal_behavior
requires !java.lang.Double.isNaN(this.theDouble);
ensures \result != null&&\result instanceof org.jmlspecs.models.JMLDouble&&((org.jmlspecs.models.JMLDouble)\result ).theDouble == this.theDouble;
     also
public normal_behavior
requires java.lang.Double.isNaN(this.theDouble);
ensures \result != null&&\result instanceof org.jmlspecs.models.JMLDouble&&((org.jmlspecs.models.JMLDouble)\result ).isNaN();
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]);
Specifications inherited from overridden method in interface JMLType:
       pure
     also
public normal_behavior
ensures \result != null;
ensures \result instanceof org.jmlspecs.models.JMLType;
ensures ((org.jmlspecs.models.JMLType)\result ).equals(this);
    implies_that
ensures \result != null&&\typeof(\result ) <: \type(org.jmlspecs.models.JMLType);

compareTo

public int compareTo(non_null Object op2)
              throws ClassCastException
Compare this to op2, returning a comparison code.

Specified by:
compareTo in interface JMLComparable
Parameters:
op2 - the object this is compared to.
Throws:
ClassCastException - when o is not a JMLDouble.
Specifications: (class)pure
Specifications inherited from overridden method compareTo(Object o) in interface JMLComparable:
       (class)pure
     also
public behavior
requires o != null;
ensures (* o is an instance of a comparable class *);
ensures (* if this is equal to o, then \result is 0 *)&&(* if this is less than o, then \result is negative *)&&(* if this is greater than o, then \result is positive *);
signals_only java.lang.ClassCastException;
signals (java.lang.ClassCastException) (* o is not an instance of a comparable class *);
Specifications inherited from overridden method compareTo(Object o) in interface Comparable:
       pure
public behavior
requires o != null;
ensures (* \result is negative if this is "less than" o *);
ensures (* \result is 0 if this is "equal to" o *);
ensures (* \result is positive if this is "greater than" o *);
signals_only java.lang.ClassCastException;
signals (java.lang.ClassCastException) (* the class of o prohibits it from being compared to this *);
     also
public behavior
requires o != null&&o instanceof java.lang.Comparable;
ensures this.definedComparison((java.lang.Comparable)o,this);
ensures o == this ==> \result == 0;
ensures this.sgn(\result ) == -this.sgn(((java.lang.Comparable)o).compareTo(this));
signals (java.lang.ClassCastException) !this.definedComparison((java.lang.Comparable)o,this);

isZero

public static boolean isZero(double d)
Tell if the argument is zero (either positive or negative).

Specifications: pure
public normal_behavior
ensures \result <==> (d == 0.0||d == -0.0);

isZero

public boolean isZero()
Tell if this object contains zero (either positive or negative).

Specifications: (class)pure
public normal_behavior
ensures \result <==> (this.theDouble == 0.0||this.theDouble == -0.0);

equals

public boolean equals(nullable Object op2)
Tell whether this object is equal to the argument.

Specified by:
equals in interface JMLType
Overrides:
equals in class Object
Specifications: (class)pure
     also
public normal_behavior
requires (op2 instanceof org.jmlspecs.models.JMLDouble)&&op2 != null;
{|
requires !java.lang.Double.isNaN(this.theDouble)&&!this.isZero();
ensures \result <==> this.theDouble == ((org.jmlspecs.models.JMLDouble)op2).theDouble;
also
requires java.lang.Double.isNaN(this.theDouble);
ensures \result <==> java.lang.Double.isNaN(((org.jmlspecs.models.JMLDouble)op2).theDouble);
also
requires this.isZero();
ensures \result <==> ((org.jmlspecs.models.JMLDouble)op2).isZero();
|}
     also
public normal_behavior
requires !(op2 instanceof org.jmlspecs.models.JMLDouble)||op2 == null;
ensures \result <==> false;
Specifications inherited from overridden method equals(Object obj) in class Object:
       pure
public normal_behavior
requires obj != null;
ensures (* \result is true when obj is "equal to" this object *);
     also
public normal_behavior
requires this == obj;
ensures \result ;
     also
public code normal_behavior
requires obj != null;
ensures \result <==> this == obj;
     also
diverges false;
ensures obj == null ==> !\result ;
Specifications inherited from overridden method equals(Object ob2) in interface JMLType:
       pure
     also
public normal_behavior
ensures \result ==> ob2 != null&&(* ob2 is not distinguishable from this, except by using mutation or == *);
    implies_that
public normal_behavior
{|
requires ob2 != null&&ob2 instanceof org.jmlspecs.models.JMLType;
ensures ((org.jmlspecs.models.JMLType)ob2).equals(this) == \result ;
also
requires ob2 == this;
ensures \result <==> true;
|}

hashCode

public int hashCode()
Return a hash code for this object.

Specified by:
hashCode in interface JMLType
Overrides:
hashCode in class Object
Specifications: (class)pure
Specifications inherited from overridden method in class Object:
public behavior
assignable objectState;
ensures (* \result is a hash code for this object *);
     also
public code normal_behavior
assignable \nothing;
Specifications inherited from overridden method in interface JMLType:
       pure

doubleValue

public double doubleValue()
Return the double contained in this object.

Specifications: (class)pure
public normal_behavior
requires !this.isNaN();
ensures \result == this.doubleValue;
     also
requires this.isNaN();
ensures java.lang.Double.isNaN(\result );

getDouble

public Double getDouble()
Return a Double containing the double contained in this object.

Specifications: non_null (class)pure
public normal_behavior
ensures \result != null;
ensures !this.isNaN() ==> this.theDouble == \result .doubleValue();
ensures this.isNaN() ==> \result .isNaN();

negated

public JMLDouble negated()
Return the negation of this.

Specifications: non_null (class)pure
public normal_behavior
ensures \result != null;
ensures \result .equals(new org.jmlspecs.models.JMLDouble(-this.theDouble));

plus

public JMLDouble plus(non_null JMLDouble d2)
Return the sum of this and the given argument.

Specifications: non_null (class)pure
public normal_behavior
requires d2 != null;
ensures \result != null;
ensures \result .equals(new org.jmlspecs.models.JMLDouble(this.theDouble+d2.theDouble));

minus

public JMLDouble minus(non_null JMLDouble d2)
Return the difference between this and the given argument.

Specifications: non_null (class)pure
public normal_behavior
requires d2 != null;
ensures \result != null;
ensures \result .equals(new org.jmlspecs.models.JMLDouble(this.theDouble-d2.theDouble));

times

public JMLDouble times(non_null JMLDouble d2)
Return the product of this and the given argument.

Specifications: non_null (class)pure
public normal_behavior
requires d2 != null;
ensures \result != null&&\result .equals(new org.jmlspecs.models.JMLDouble(this.theDouble*d2.theDouble));
    implies_that
public normal_behavior
requires d2 != null;
requires d2.isNaN()||(this.isZero()&&d2.isInfinite())||(d2.isZero()&&this.isInfinite());
ensures \result != null&&\result .isNaN();

dividedBy

public JMLDouble dividedBy(non_null JMLDouble d2)
Return the quotient of this divided by the given argument.

Specifications: non_null (class)pure
public normal_behavior
requires d2 != null;
ensures \result != null&&\result .equals(new org.jmlspecs.models.JMLDouble(this.theDouble/d2.theDouble));
    implies_that
public normal_behavior
requires d2 != null;
requires d2.isZero()||d2.isNaN();
ensures \result != null&&\result .isNaN();

remainderBy

public JMLDouble remainderBy(non_null JMLDouble d2)
Return the remainder of this divided by the given argument.

Specifications: non_null (class)pure
public normal_behavior
requires d2 != null;
ensures \result != null&&\result .equals(new org.jmlspecs.models.JMLDouble(this.theDouble%d2.theDouble));
    implies_that
public normal_behavior
requires d2 != null;
requires d2.isZero()||d2.isNaN();
ensures \result != null&&\result .isNaN();

greaterThan

public boolean greaterThan(non_null JMLDouble d2)
Tell whether this is strictly greater than the given argument.

Specifications: (class)pure
public normal_behavior
requires d2 != null;
ensures \result <==> this.theDouble > d2.theDouble;

lessThan

public boolean lessThan(non_null JMLDouble d2)
Tell whether this is strictly less than the given argument.

Specifications: (class)pure
public normal_behavior
requires d2 != null;
ensures \result <==> this.theDouble < d2.theDouble;

greaterThanOrEqualTo

public boolean greaterThanOrEqualTo(non_null JMLDouble d2)
Tell whether this is greater than or equal to the given argument.

Specifications: (class)pure
public normal_behavior
requires d2 != null;
ensures \result <==> this.theDouble >= d2.theDouble;

lessThanOrEqualTo

public boolean lessThanOrEqualTo(non_null JMLDouble d2)
Tell whether this is less than or equal to the given argument.

Specifications: (class)pure
public normal_behavior
requires d2 != null;
ensures \result <==> this.theDouble <= d2.theDouble;

toString

public String toString()
Return a string representation of this object.

Overrides:
toString in class Object
Specifications: (class)pure
Specifications inherited from overridden method in class Object:
       non_null
public normal_behavior
assignable objectState;
ensures \result != null&&\result .equals(this.theString);
ensures (* \result is a string representation of this object *);
     also
public code normal_behavior
assignable \nothing;
ensures \result != null&&(* \result is the instance's class name, followed by an @, followed by the instance's hashcode in hex *);
     also
public code model_program { ... }
    implies_that
assignable objectState;
ensures \result != null;

withinEpsilonOf

public boolean withinEpsilonOf(non_null JMLDouble d2,
                               double epsilon)
Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.

Specifications: (class)pure
public normal_behavior
requires d2 != null;
assignable \nothing;
ensures \result <==> java.lang.StrictMath.abs(this.theDouble-d2.theDouble) <= epsilon;

approximatelyEqualTo

public boolean approximatelyEqualTo(non_null JMLDouble d2,
                                    double epsilon)
Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.

See Also:
approximatelyEqualTo(double, double, double)
Specifications: (class)pure
public normal_behavior
requires d2 != null;
assignable \nothing;
ensures \result <==> approximatelyEqualTo(this.theDouble,d2.theDouble,epsilon);

withinEpsilonOf

public boolean withinEpsilonOf(non_null Double d2,
                               double epsilon)
Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.

Specifications: (class)pure
public normal_behavior
requires d2 != null;
assignable \nothing;
ensures \result <==> java.lang.StrictMath.abs(this.theDouble-d2.doubleValue()) <= epsilon;

approximatelyEqualTo

public boolean approximatelyEqualTo(non_null Double d2,
                                    double epsilon)
Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.

See Also:
approximatelyEqualTo(double, double, double)
Specifications: (class)pure
public normal_behavior
requires d2 != null;
assignable \nothing;
ensures \result <==> approximatelyEqualTo(this.theDouble,d2.doubleValue(),epsilon);

withinEpsilonOf

public boolean withinEpsilonOf(double d2,
                               double epsilon)
Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.

Specifications: (class)pure
public normal_behavior
assignable \nothing;
ensures \result <==> java.lang.StrictMath.abs(this.theDouble-d2) <= epsilon;

approximatelyEqualTo

public boolean approximatelyEqualTo(double d2,
                                    double epsilon)
Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.

See Also:
approximatelyEqualTo(double, double, double)
Specifications: (class)pure
public normal_behavior
assignable \nothing;
ensures \result <==> approximatelyEqualTo(this.theDouble,d2,epsilon);

withinEpsilonOf

public static boolean withinEpsilonOf(double d1,
                                      double d2,
                                      double epsilon)
Tell whether absolute value of difference of the two arguments is within the given epsilon.

Specifications: pure
public normal_behavior
assignable \nothing;
ensures \result <==> java.lang.StrictMath.abs(d1-d2) <= epsilon;

approximatelyEqualTo

public static boolean approximatelyEqualTo(double d1,
                                           double d2,
                                           double epsilon)
Tell whether relative difference of the two arguments is within the given epsilon.

Specifications: pure
public normal_behavior
assignable \nothing;
ensures \result <==> d1 == d2||java.lang.StrictMath.abs(d1-d2) <= java.lang.StrictMath.max(java.lang.StrictMath.abs(d1),java.lang.StrictMath.abs(d2))*epsilon;

withinEpsilonOf

public static boolean withinEpsilonOf(non_null JMLDouble d1,
                                      non_null JMLDouble d2,
                                      double epsilon)
Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.

Specifications: pure
public normal_behavior
requires d1 != null&&d2 != null;
assignable \nothing;
ensures \result <==> java.lang.StrictMath.abs(d1.theDouble-d2.theDouble) <= epsilon;

approximatelyEqualTo

public static boolean approximatelyEqualTo(non_null JMLDouble d1,
                                           non_null JMLDouble d2,
                                           double epsilon)
Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.

See Also:
approximatelyEqualTo(double, double, double)
Specifications: pure
public normal_behavior
requires d1 != null&&d2 != null;
assignable \nothing;
ensures \result <==> approximatelyEqualTo(d1.theDouble,d2.theDouble,epsilon);

withinEpsilonOf

public static boolean withinEpsilonOf(non_null JMLDouble d1,
                                      non_null Double d2,
                                      double epsilon)
Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.

Specifications: pure
public normal_behavior
requires d1 != null&&d2 != null;
assignable \nothing;
ensures \result <==> java.lang.StrictMath.abs(d1.theDouble-d2.doubleValue()) <= epsilon;

approximatelyEqualTo

public static boolean approximatelyEqualTo(non_null JMLDouble d1,
                                           non_null Double d2,
                                           double epsilon)
Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.

See Also:
approximatelyEqualTo(double, double, double)
Specifications: pure
public normal_behavior
requires d1 != null&&d2 != null;
assignable \nothing;
ensures \result <==> approximatelyEqualTo(d1.theDouble,d2.doubleValue(),epsilon);

withinEpsilonOf

public static boolean withinEpsilonOf(non_null JMLDouble d1,
                                      double d2,
                                      double epsilon)
Tell whether absolute value of difference of this JMLDouble and the arg is within the given epsilon.

Specifications: pure
public normal_behavior
requires d1 != null;
assignable \nothing;
ensures \result <==> java.lang.StrictMath.abs(d1.theDouble-d2) <= epsilon;

approximatelyEqualTo

public static boolean approximatelyEqualTo(non_null JMLDouble d1,
                                           double d2,
                                           double epsilon)
Tell whether relative difference of this JMLDouble and the arg is within the given epsilon.

See Also:
approximatelyEqualTo(double, double, double)
Specifications: pure
public normal_behavior
requires d1 != null;
assignable \nothing;
ensures \result <==> approximatelyEqualTo(d1.theDouble,d2,epsilon);

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.