ModuloInteger

java.lang.Object
- java.lang.Number
- - org.jscience.mathematics.number.Number<ModuloInteger>
  - - org.jscience.mathematics.number.ModuloInteger

All Implemented Interfaces:

java.io.Serializable, java.lang.Comparable<ModuloInteger>, javolution.lang.Immutable, javolution.lang.Realtime, javolution.lang.ValueType, javolution.xml.XMLSerializable, Field<ModuloInteger>, GroupAdditive<ModuloInteger>, GroupMultiplicative<ModuloInteger>, Ring<ModuloInteger>, Structure<ModuloInteger>
```
public final class ModuloInteger
extends Number<ModuloInteger>
implements Field<ModuloInteger>
```
This class represents a modulo integer. It can be used in conjonction with the Matrix class to resolve modulo equations (ref. number theory).

Version:

3.0, February 13, 2006

Author:

Jean-Marie Dautelle

See Also:

Wikipedia: Modular Arithmetic, Serialized Form

Field Summary

Fields
Modifier and Type	Field and Description
`static ModuloInteger`	`ONE` The modulo integer representing the multiplicative identity.
`static ModuloInteger`	`ZERO` The modulo integer representing the additive identity.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`int`	`compareTo(ModuloInteger that)` Compares this number with the specified number for order.
`ModuloInteger`	`copy()` Returns a copy of this number `allocated` by the calling thread (possibly on the stack).
`double`	`doubleValue()` Returns the value of this number as a `double`.
`boolean`	`equals(java.lang.Object that)` Compares this modulo integer against the specified object independently of the current modulus.
`static LargeInteger`	`getModulus()` Returns the `local` modulus for modular arithmetic or `null` if the arithmetic operations are non-modular (default).
`int`	`hashCode()` Returns the hash code for this large integer number.
`ModuloInteger`	`inverse()` Returns the multiplicative inverse of this object.
`boolean`	`isLargerThan(ModuloInteger that)` Compares the magnitude of this number with that number.
`long`	`longValue()` Returns the value of this number as a `long`.
`LargeInteger`	`moduloValue()` Returns the current modulo value of this number.
`ModuloInteger`	`opposite()` Returns the additive inverse of this object.
`ModuloInteger`	`plus(ModuloInteger that)` Returns the sum of this object with the one specified.
`static void`	`setModulus(LargeInteger modulus)` Sets the `local` modulus for modular arithmetic.
`ModuloInteger`	`times(ModuloInteger that)` Returns the product of this object with the one specified.
`javolution.text.Text`	`toText()` Returns the text representation of the current modulo value of this number.
`static ModuloInteger`	`valueOf(java.lang.CharSequence chars)` Returns the modulo integer for the specified character sequence in decimal number.
`static ModuloInteger`	`valueOf(LargeInteger value)` Returns the modulo integer having the specified value (independently of the current modulo).

Methods inherited from class org.jscience.mathematics.number.Number
byteValue, floatValue, intValue, isGreaterThan, isLessThan, minus, pow, shortValue, toString

Methods inherited from class java.lang.Object
getClass, notify, notifyAll, wait, wait, wait

- Field Detail
  - ZERO
```
public static final ModuloInteger ZERO
```
    The modulo integer representing the additive identity.
  - ONE
```
public static final ModuloInteger ONE
```
    The modulo integer representing the multiplicative identity.
- Method Detail
  - valueOf
```
public static ModuloInteger valueOf(LargeInteger value)
```
    Returns the modulo integer having the specified value (independently of the current modulo).
    
    Parameters:
    
    value - the modulo integer intrinsic value.
    
    Returns:
    
    the corresponding modulo number.
  - valueOf
```
public static ModuloInteger valueOf(java.lang.CharSequence chars)
```
    Returns the modulo integer for the specified character sequence in decimal number.
    
    Parameters:
    
    chars - the character sequence.
    
    Returns:
    
    the corresponding modulo number.
  - getModulus
```
public static LargeInteger getModulus()
```
    Returns the local modulus for modular arithmetic or null if the arithmetic operations are non-modular (default).
    
    Returns:
    
    the local modulus or null if none.
    
    See Also:
    
    setModulus(org.jscience.mathematics.number.LargeInteger)
  - setModulus
```
public static void setModulus(LargeInteger modulus)
```
    Sets the local modulus for modular arithmetic.
    
    Parameters:
    
    modulus - the new modulus or null to unset the modulus.
    
    Throws:
    
    java.lang.IllegalArgumentException - if modulus <= 0
  - moduloValue
```
public LargeInteger moduloValue()
```
    Returns the current modulo value of this number. If the modulus is set to null the intrinsic value (the creation value) is returned.
    
    Returns:
    
    the positive number equals to this number modulo modulus or this modulo creation value.
  - toText
```
public javolution.text.Text toText()
```
    Returns the text representation of the current modulo value of this number.
    
    Specified by:
    
    toText in interface javolution.lang.Realtime
    
    Specified by:
    
    toText in class Number<ModuloInteger>
    
    Returns:
    
    the representation of its modulo value.
  - equals
```
public boolean equals(java.lang.Object that)
```
    Compares this modulo integer against the specified object independently of the current modulus.
    
    Specified by:
    
    equals in class Number<ModuloInteger>
    
    Parameters:
    
    that - the object to compare with.
    
    Returns:
    
    true if that is a modulo number with the same intrinsic value; false otherwise.
  - hashCode
```
public int hashCode()
```
    Returns the hash code for this large integer number.
    
    Specified by:
    
    hashCode in class Number<ModuloInteger>
    
    Returns:
    
    the hash code value.
  - isLargerThan
```
public boolean isLargerThan(ModuloInteger that)
```
    Description copied from class: Number
    
    Compares the magnitude of this number with that number.
    
    Specified by:
    
    isLargerThan in class Number<ModuloInteger>
    
    Returns:
    
    |this| > |that|
  - longValue
```
public long longValue()
```
    Description copied from class: Number
    
    Returns the value of this number as a long.
    
    Specified by:
    
    longValue in class Number<ModuloInteger>
    
    Returns:
    
    the numeric value represented by this object after conversion to type long.
  - doubleValue
```
public double doubleValue()
```
    Description copied from class: Number
    
    Returns the value of this number as a double.
    
    Specified by:
    
    doubleValue in class Number<ModuloInteger>
    
    Returns:
    
    the numeric value represented by this object after conversion to type double.
  - compareTo
```
public int compareTo(ModuloInteger that)
```
    Description copied from class: Number
    
    Compares this number with the specified number for order. Returns a negative integer, zero, or a positive integer as this number is less than, equal to, or greater than the specified number. Implementation must ensure that this method is consistent with equals (x.compareTo(y)==0) == (x.equals(y)),
    
    Specified by:
    
    compareTo in interface java.lang.Comparable<ModuloInteger>
    
    Specified by:
    
    compareTo in class Number<ModuloInteger>
    
    Parameters:
    
    that - the number to be compared.
    
    Returns:
    
    a negative integer, zero, or a positive integer as this number is less than, equal to, or greater than the specified number.
  - times
```
public ModuloInteger times(ModuloInteger that)
```
    Description copied from interface: Ring
    
    Returns the product of this object with the one specified.
    
    Specified by:
    
    times in interface GroupMultiplicative<ModuloInteger>
    
    Specified by:
    
    times in interface Ring<ModuloInteger>
    
    Parameters:
    
    that - the object multiplier.
    
    Returns:
    
    this · that.
  - plus
```
public ModuloInteger plus(ModuloInteger that)
```
    Description copied from interface: GroupAdditive
    
    Returns the sum of this object with the one specified.
    
    Specified by:
    
    plus in interface GroupAdditive<ModuloInteger>
    
    Parameters:
    
    that - the object to be added.
    
    Returns:
    
    this + that.
  - opposite
```
public ModuloInteger opposite()
```
    Description copied from interface: GroupAdditive
    
    Returns the additive inverse of this object. It is the object such as this.plus(this.opposite()) == ZERO, with ZERO being the additive identity.
    
    Specified by:
    
    opposite in interface GroupAdditive<ModuloInteger>
    
    Returns:
    
    -this.
  - inverse
```
public ModuloInteger inverse()
```
    Description copied from interface: GroupMultiplicative
    
    Returns the multiplicative inverse of this object. It it the object such as this.times(this.inverse()) == ONE , with ONE being the multiplicative identity.
    
    Specified by:
    
    inverse in interface GroupMultiplicative<ModuloInteger>
    
    Returns:
    
    ONE / this.
  - copy
```
public ModuloInteger copy()
```
    Description copied from class: Number
    
    Returns a copy of this number allocated by the calling thread (possibly on the stack).
    
    Specified by:
    
    copy in interface javolution.lang.ValueType
    
    Specified by:
    
    copy in class Number<ModuloInteger>
    
    Returns:
    
    an identical and independant copy of this number.

Class ModuloInteger

Field Summary

Method Summary

Methods inherited from class org.jscience.mathematics.number.Number

Methods inherited from class java.lang.Object

Field Detail

ZERO

ONE

Method Detail

valueOf

valueOf

getModulus

setModulus

moduloValue

toText

equals

hashCode

isLargerThan

longValue

doubleValue

compareTo

times

plus

opposite

inverse

copy