org.jmlspecs.models
Class JMLDouble

java.lang.Object
  org.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

doubleValue

private double doubleValue

Specifications: spec_public
is in groups: theDouble

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 *);

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);