FractionSym

Documentation of 'org.matheclipse.core.expression.FractionSym' Java class FractionSym

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Summary:
Nested |
Field |
Constr |
Method

Detail:
Field |
Constr |
Method

java.lang.Object
- org.matheclipse.core.expression.ExprImpl
- - org.matheclipse.core.expression.FractionSym

All Implemented Interfaces:

AbelianGroupElem<IExpr>, Element<IExpr>, MonoidElem<IExpr>, RingElem<IExpr>, java.io.Serializable, java.lang.Comparable<IExpr>, IBigNumber, IExpr, IFraction, INumber, IRational, ISignedNumber
```
public class FractionSym
extends ExprImpl
implements IFraction
```
See Also:

Serialized Form

Field Summary
- Fields inherited from interface org.matheclipse.core.interfaces.IExpr
  ASTID, COMPLEXID, DOUBLECOMPLEXID, DOUBLEID, FRACTIONID, INTEGERID, METHODSYMBOLID, PATTERNID, STRINGID, SYMBOLID

Method Summary

All Methods Static Methods Instance Methods Concrete Methods Deprecated Methods
Modifier and Type	Method and Description
`<T> T`	`accept(IVisitor<T> visitor)` Accept a visitor with return type T
`boolean`	`accept(IVisitorBoolean visitor)` Accept a visitor with return type `boolean`
`int`	`accept(IVisitorInt visitor)` Accept a visitor with return type `int`
`BigFraction`	`add(BigFraction that)`
`IFraction`	`add(IFraction parm1)`
`IInteger`	`ceil()` Returns the smallest (closest to negative infinity) `IInteger` value that is not less than `this` and is equal to a mathematical integer.
`int`	`compareTo(IExpr obj)` Compares this expression with the specified expression for order.
`int`	`complexSign()` Gets the signum value of a complex number
`BigFraction`	`divide(BigFraction that)`
`ISignedNumber`	`divideBy(ISignedNumber that)` Divide `this` signed number by `that` signed number.
`double`	`doubleValue()`
`FractionSym`	`eabs()` Get the absolute value for a given number
`boolean`	`equals(java.lang.Object obj)` Test if this is equal to b.
`boolean`	`equalsInt(int i)` Is this number equal an integer number?
`IExpr`	`evaluate(EvalEngine engine)` Evaluate an expression
`IInteger`	`floor()` Returns the largest (closest to positive infinity) `IInteger` value that is not greater than `this` and is equal to a mathematical integer.
`java.lang.String`	`fullFormString()` Return the FullForm of this expression
`java.math.BigInteger`	`getBigDenominator()` Returns the denominator of this fraction.
`java.math.BigInteger`	`getBigNumerator()` Returns the numerator of this fraction.
`IInteger`	`getDenominator()` Returns the denominator of this fraction.
`java.math.BigInteger`	`getDividend()`
`java.math.BigInteger`	`getDivisor()`
`BigFraction`	`getFraction()` Returns this number as `BigFraction` number.
`ISignedNumber`	`getIm()` Returns the imaginary part of a complex number
`IInteger`	`getNumerator()` Returns the numerator of this Rational.
`BigFraction`	`getRational()`
`ISignedNumber`	`getRe()` Returns the real part of a complex number
`int`	`hashCode()` Hashcode of this Element.
`ISymbol`	`head()` If this object is an instance of `IAST` get the first element (offset 0) of the `IAST` list (i.e.
`int`	`hierarchy()` A unique integer ID for the implementation of this expression
`java.lang.String`	`internalFormString(boolean symbolsAsFactoryMethod, int depth)` Return the internal Java form of this expression.
`ISignedNumber`	`inverse()` Returns the multiplicative inverse of this object.
`boolean`	`isGreaterThan(ISignedNumber obj)`
`boolean`	`isLessThan(ISignedNumber obj)`
`boolean`	`isNegative()` Test if this object is a negative signed number.
`boolean`	`isPositive()` Test if this object is a positive signed number.
`boolean`	`isZero()` Test if this expression equals `0` in symbolic or numeric mode.
`long`	`longValue()`
`BigFraction`	`multiply(BigFraction that)`
`IFraction`	`multiply(IFraction parm1)`
`ISignedNumber`	`negate()` Negate this.
`INumber`	`normalize()` Return the normalized form of this number (i.e.
`INumber`	`numericNumber()` Create a numeric number from this exact "symbolic" number.
`ISignedNumber`	`opposite()`
`IExpr`	`plus(IExpr that)`
`IFraction`	`pow(int exp)` Returns this number raised at the specified positive exponent.
`IInteger`	`round()` Returns the closest `IInteger` to the argument.
`int`	`sign()` Returns the signum function of this number (i.e., -1, 0 or 1 as the value of this number is negative, zero or positive).
`BigFraction`	`subtract(BigFraction that)`
`ISignedNumber`	`subtractFrom(ISignedNumber that)` Subtract `that` signed number from `this` signed number
`IExpr`	`times(IExpr that)` Returns the product of this object with the one specified.
`int`	`toInt()` Converts this number to `int`; unlike `#intValue` this method raises `ArithmeticException` if this number cannot be represented by an `int` type.
`long`	`toLong()` Converts this number to `long`; unlike `#longValue` this method raises `ArithmeticException` if this number cannot be represented by an `long` type.
`java.lang.String`	`toString()`
`static FractionSym`	`valueOf(BigFraction rat)` Deprecated.
`static FractionSym`	`valueOf(java.math.BigInteger numerator)`
`static FractionSym`	`valueOf(java.math.BigInteger numerator, java.math.BigInteger denominator)`
`static FractionSym`	`valueOf(double value)`
`static FractionSym`	`valueOf(IInteger numerator, IInteger denominator)`
`static FractionSym`	`valueOf(long numerator, long denominator)`

Methods inherited from class org.matheclipse.core.expression.ExprImpl
abs, and, apply, apply, asType, copy, divide, egcd, factory, gcd, getAt, isAnd, isArcCos, isArcCosh, isArcSin, isArcSinh, isArcTan, isArcTanh, isAST, isAST, isAST, isAST, isAST, isAST, isASTSizeGE, isAtom, isComplex, isComplexInfinity, isComplexNumeric, isCondition, isConstant, isCos, isCosh, isDirectedInfinity, isFalse, isFlatAST, isFraction, isFree, isFree, isFunction, isGEOrdered, isGTOrdered, isInfinity, isInteger, isLEOrdered, isList, isListOfLists, isLog, isLTOrdered, isMatrix, isMember, isMember, isMinusOne, isModule, isNegativeInfinity, isNot, isNumber, isNumEqualInteger, isNumeric, isNumericFunction, isNumIntValue, isOne, isONE, isOr, isOrderlessAST, isPattern, isPatternExpr, isPatternSequence, isPlus, isPower, isRational, isRealFunction, isRuleAST, isSame, isSame, isSequence, isSignedNumber, isSin, isSinh, isSlot, isSlotSequence, isSymbol, isTan, isTanh, isTimes, isTrue, isUnit, isValue, isVector, isZERO, leaves, minus, mod, multiply, negative, or, power, power, remainder, replaceAll, replaceAll, replacePart, replaceRepeated, replaceRepeated, replaceRepeated, replaceSlots, signum, subtract, sum, topHead, toScript, toScriptFactory, variables2Slots

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

Methods inherited from interface org.matheclipse.core.interfaces.IExpr
and, apply, apply, asType, getAt, isAnd, isArcCos, isArcCosh, isArcSin, isArcSinh, isArcTan, isArcTanh, isAST, isAST, isAST, isAST, isAST, isAST, isASTSizeGE, isAtom, isComplex, isComplexInfinity, isComplexNumeric, isCondition, isConstant, isCos, isCosh, isDirectedInfinity, isFalse, isFlatAST, isFraction, isFree, isFree, isFunction, isGEOrdered, isGTOrdered, isInfinity, isInteger, isLEOrdered, isList, isListOfLists, isLog, isLTOrdered, isMatrix, isMember, isMember, isMinusOne, isModule, isNegativeInfinity, isNot, isNumber, isNumEqualInteger, isNumeric, isNumericFunction, isNumIntValue, isOne, isOr, isOrderlessAST, isPattern, isPatternExpr, isPatternSequence, isPlus, isPower, isRational, isRealFunction, isRuleAST, isSame, isSame, isSequence, isSignedNumber, isSin, isSinh, isSlot, isSlotSequence, isSymbol, isTan, isTanh, isTimes, isTrue, isValue, isVector, leaves, minus, mod, multiply, negative, or, power, power, replaceAll, replaceAll, replacePart, replaceRepeated, replaceRepeated, replaceSlots, signum, topHead, variables2Slots

Methods inherited from interface edu.jas.structure.RingElem
egcd, gcd

Methods inherited from interface edu.jas.structure.AbelianGroupElem
abs, isZERO, subtract, sum

Methods inherited from interface edu.jas.structure.MonoidElem
divide, isONE, isUnit, remainder

Methods inherited from interface edu.jas.structure.Element
copy, factory, toScript, toScriptFactory

- Method Detail
  - valueOf
```
public static FractionSym valueOf(java.math.BigInteger numerator)
```
  - valueOf
```
@Deprecated
public static FractionSym valueOf(BigFraction rat)
```
    Deprecated.
    
    Parameters:
    
    rat -
    
    Returns:
  - valueOf
```
public static FractionSym valueOf(java.math.BigInteger numerator,
                                  java.math.BigInteger denominator)
```
  - valueOf
```
public static FractionSym valueOf(IInteger numerator,
                                  IInteger denominator)
```
  - valueOf
```
public static FractionSym valueOf(long numerator,
                                  long denominator)
```
  - valueOf
```
public static FractionSym valueOf(double value)
```
  - isZero
```
public boolean isZero()
```
    Test if this expression equals 0 in symbolic or numeric mode.
    
    Specified by:
    
    isZero in interface IExpr
    
    Specified by:
    
    isZero in interface ISignedNumber
    
    Overrides:
    
    isZero in class ExprImpl
  - equalsInt
```
public boolean equalsInt(int i)
```
    Is this number equal an integer number?
    
    Specified by:
    
    equalsInt in interface INumber
    
    Returns:
  - getBigDenominator
```
public java.math.BigInteger getBigDenominator()
```
    Returns the denominator of this fraction.
    
    Specified by:
    
    getBigDenominator in interface IFraction
    
    Returns:
    
    denominator
  - getBigNumerator
```
public java.math.BigInteger getBigNumerator()
```
    Returns the numerator of this fraction.
    
    Specified by:
    
    getBigNumerator in interface IFraction
    
    Returns:
    
    denominator
  - getFraction
```
public BigFraction getFraction()
```
    Returns this number as BigFraction number.
    
    Specified by:
    
    getFraction in interface IRational
    
    Returns:
    
    this number s big fraction.
  - getDenominator
```
public IInteger getDenominator()
```
    Returns the denominator of this fraction.
    
    Specified by:
    
    getDenominator in interface IRational
    
    Returns:
    
    denominator
  - getNumerator
```
public IInteger getNumerator()
```
    Returns the numerator of this Rational.
    
    Specified by:
    
    getNumerator in interface IRational
    
    Returns:
    
    numerator
  - hierarchy
```
public int hierarchy()
```
    A unique integer ID for the implementation of this expression
    
    Specified by:
    
    hierarchy in interface IExpr
    
    Returns:
    
    a unique integer id for the implementation of this expression
  - add
```
public IFraction add(IFraction parm1)
```
    Specified by:
    
    add in interface IFraction
  - multiply
```
public IFraction multiply(IFraction parm1)
```
    Specified by:
    
    multiply in interface IFraction
  - isNegative
```
public boolean isNegative()
```
    Test if this object is a negative signed number.
    
    Specified by:
    
    isNegative in interface IExpr
    
    Specified by:
    
    isNegative in interface ISignedNumber
    
    Overrides:
    
    isNegative in class ExprImpl
    
    Returns:
    
    true, if this < 0; false in all other case.
  - isPositive
```
public boolean isPositive()
```
    Test if this object is a positive signed number.
    
    Specified by:
    
    isPositive in interface IExpr
    
    Specified by:
    
    isPositive in interface ISignedNumber
    
    Overrides:
    
    isPositive in class ExprImpl
    
    Returns:
    
    true, if this > 0; false in all other case.
  - eabs
```
public FractionSym eabs()
```
    Get the absolute value for a given number
    
    Specified by:
    
    eabs in interface INumber
    
    Returns:
  - add
```
public BigFraction add(BigFraction that)
```
    Parameters:
    
    that -
    
    Returns:
  - divide
```
public BigFraction divide(BigFraction that)
```
    Parameters:
    
    that -
    
    Returns:
  - doubleValue
```
public double doubleValue()
```
    Specified by:
    
    doubleValue in interface ISignedNumber
    
    Returns:
  - equals
```
public boolean equals(java.lang.Object obj)
```
    Description copied from interface: Element
    
    Test if this is equal to b.
    
    Specified by:
    
    equals in interface Element<IExpr>
    
    Overrides:
    
    equals in class java.lang.Object
    
    Returns:
    
    true if this is equal to b, else false.
  - evaluate
```
public IExpr evaluate(EvalEngine engine)
```
    Evaluate an expression
    
    Specified by:
    
    evaluate in interface IExpr
    
    Overrides:
    
    evaluate in class ExprImpl
    
    Parameters:
    
    engine - the evaluation engine
    
    Returns:
    
    the evaluated Object or null if the evaluation is not possible (i.e. the evaluation doesn't change the object).
  - numericNumber
```
public final INumber numericNumber()
```
    Description copied from interface: IBigNumber
    
    Create a numeric number from this exact "symbolic" number.
    
    Specified by:
    
    numericNumber in interface IBigNumber
    
    Returns:
  - normalize
```
public INumber normalize()
```
    Description copied from interface: IFraction
    
    Return the normalized form of this number (i.e. if the denominator part equals one, return the numerator part as an integer number).
    
    Specified by:
    
    normalize in interface IFraction
    
    Returns:
  - getDividend
```
public java.math.BigInteger getDividend()
```
    Returns:
  - getDivisor
```
public java.math.BigInteger getDivisor()
```
    Returns:
  - hashCode
```
public int hashCode()
```
    Description copied from interface: Element
    
    Hashcode of this Element.
    
    Specified by:
    
    hashCode in interface Element<IExpr>
    
    Overrides:
    
    hashCode in class java.lang.Object
    
    Returns:
    
    the hashCode.
  - longValue
```
public long longValue()
```
    Returns:
  - multiply
```
public BigFraction multiply(BigFraction that)
```
    Parameters:
    
    that -
    
    Returns:
  - negate
```
public ISignedNumber negate()
```
    Description copied from interface: AbelianGroupElem
    
    Negate this.
    
    Specified by:
    
    negate in interface AbelianGroupElem<IExpr>
    
    Specified by:
    
    negate in interface ISignedNumber
    
    Overrides:
    
    negate in class ExprImpl
    
    Returns:
  - opposite
```
public ISignedNumber opposite()
```
    Specified by:
    
    opposite in interface INumber
    
    Specified by:
    
    opposite in interface ISignedNumber
    
    Overrides:
    
    opposite in class ExprImpl
    
    Returns:
  - plus
```
public IExpr plus(IExpr that)
```
    Specified by:
    
    plus in interface IExpr
    
    Overrides:
    
    plus in class ExprImpl
    
    Parameters:
    
    that -
    
    Returns:
  - divideBy
```
public ISignedNumber divideBy(ISignedNumber that)
```
    Divide this signed number by that signed number.
    
    Specified by:
    
    divideBy in interface ISignedNumber
    
    Parameters:
    
    that - a signed number
    
    Returns:
  - subtractFrom
```
public ISignedNumber subtractFrom(ISignedNumber that)
```
    Subtract that signed number from this signed number
    
    Specified by:
    
    subtractFrom in interface ISignedNumber
    
    Parameters:
    
    that - a signed number
    
    Returns:
  - pow
```
public IFraction pow(int exp)
```
    Returns this number raised at the specified positive exponent.
    
    Specified by:
    
    pow in interface IFraction
    
    Parameters:
    
    exp - the positive exponent.
    
    Returns:
    
    this^exp
    
    Throws:
    
    java.lang.IllegalArgumentException - if exp <= 0
  - inverse
```
public ISignedNumber inverse()
```
    Returns the multiplicative inverse of this object. It is the object such as this.times(this.inverse()) == ONE , with ONE being the multiplicative identity.
    
    Specified by:
    
    inverse in interface MonoidElem<IExpr>
    
    Specified by:
    
    inverse in interface IExpr
    
    Specified by:
    
    inverse in interface ISignedNumber
    
    Overrides:
    
    inverse in class ExprImpl
    
    Returns:
    
    ONE / this.
  - subtract
```
public BigFraction subtract(BigFraction that)
```
    Parameters:
    
    that -
    
    Returns:
  - times
```
public IExpr times(IExpr that)
```
    Returns the product of this object with the one specified.
    
    Specified by:
    
    times in interface IExpr
    
    Overrides:
    
    times in class ExprImpl
    
    Parameters:
    
    that - the object multiplier.
    
    Returns:
    
    this · that.
  - internalFormString
```
public java.lang.String internalFormString(boolean symbolsAsFactoryMethod,
                                           int depth)
```
    Return the internal Java form of this expression.
    
    Specified by:
    
    internalFormString in interface IExpr
    
    Overrides:
    
    internalFormString in class ExprImpl
    
    Parameters:
    
    symbolsAsFactoryMethod - if true use the F.symbol() method, otherwise print the symbol name.
    
    depth - the recursion depth of this call. 0 indicates "recurse without a limit".
  - toInt
```
public int toInt()
          throws java.lang.ArithmeticException
```
    Converts this number to int; unlike #intValue this method raises ArithmeticException if this number cannot be represented by an int type.
    
    Specified by:
    
    toInt in interface ISignedNumber
    
    Returns:
    
    the numeric value represented by this integer after conversion to type int.
    
    Throws:
    
    java.lang.ArithmeticException - if conversion to int is not possible.
  - toLong
```
public long toLong()
            throws java.lang.ArithmeticException
```
    Converts this number to long; unlike #longValue this method raises ArithmeticException if this number cannot be represented by an long type.
    
    Specified by:
    
    toLong in interface ISignedNumber
    
    Returns:
    
    the numeric value represented by this integer after conversion to type long.
    
    Throws:
    
    java.lang.ArithmeticException - if conversion to int is not possible.
  - toString
```
public java.lang.String toString()
```
    Overrides:
    
    toString in class java.lang.Object
  - fullFormString
```
public java.lang.String fullFormString()
```
    Description copied from interface: IExpr
    
    Return the FullForm of this expression
    
    Specified by:
    
    fullFormString in interface IExpr
    
    Overrides:
    
    fullFormString in class ExprImpl
  - getRational
```
public BigFraction getRational()
```
    Specified by:
    
    getRational in interface IFraction
  - sign
```
public int sign()
```
    Returns the signum function of this number (i.e., -1, 0 or 1 as the value of this number is negative, zero or positive).
    
    Specified by:
    
    sign in interface ISignedNumber
    
    Returns:
    
    -1 if this is a negative number;
    0 if this is a zero;
    -1 if this is a negative number;
  - complexSign
```
public int complexSign()
```
    Gets the signum value of a complex number
    
    Specified by:
    
    complexSign in interface INumber
    
    Returns:
    
    0 for this == 0; +1 for real(this) > 0 or ( real(this)==0 && imaginary(this) > 0 ); -1 for real(this) < 0 || ( real(this) == 0 && imaginary(this) < 0 )
  ceil public IInteger ceil() Returns the smallest (closest to negative infinity) IInteger value that is not less than this and is equal to a mathematical integer. This method raises ArithmeticException if a numeric value cannot be represented by an long type. Specified by: ceil in interface ISignedNumber Returns: the smallest (closest to negative infinity) IInteger value that is not less than this and is equal to a mathematical integer. floor public IInteger floor() Returns the largest (closest to positive infinity) IInteger value that is not greater than this and is equal to a mathematical integer. This method raises ArithmeticException if a numeric value cannot be represented by an long type. Specified by: floor in interface ISignedNumber Returns: the largest (closest to positive infinity) IInteger value that is not greater than this and is equal to a mathematical integer. round public IInteger round() Returns the closest IInteger to the argument. The result is rounded to an integer by adding 1/2 and taking the floor of the result. This method raises ArithmeticException if a numeric value cannot be represented by an long type. Specified by: round in interface ISignedNumber Returns: the closest integer to the argument. compareTo public int compareTo(IExpr obj) Compares this expression with the specified expression for order. Returns a negative integer, zero, or a positive integer as this expression is canonical less than, equal to, or greater than the specified expression. Specified by: compareTo in interface Element<IExpr> Specified by: compareTo in interface java.lang.Comparable<IExpr> Specified by: compareTo in interface IExpr Returns: 0 if this is equal to b, -1 if this is less then b, else +1. isLessThan public boolean isLessThan(ISignedNumber obj) Specified by: isLessThan in interface ISignedNumber isGreaterThan public boolean isGreaterThan(ISignedNumber obj) Specified by: isGreaterThan in interface ISignedNumber head public ISymbol head() Description copied from interface: IExpr If this object is an instance of IAST get the first element (offset 0) of the IAST list (i.e. get(0) ). Specified by: head in interface IExpr Specified by: head in class ExprImpl Returns: the head of the expression, which must not be null. accept public <T> T accept(IVisitor<T> visitor) Accept a visitor with return type T Specified by: accept in interface IExpr accept public boolean accept(IVisitorBoolean visitor) Accept a visitor with return type boolean Specified by: accept in interface IExpr accept public int accept(IVisitorInt visitor) Accept a visitor with return type int Specified by: accept in interface IExpr Returns: getIm public ISignedNumber getIm() Returns the imaginary part of a complex number Specified by: getIm in interface INumber Returns: real part getRe public ISignedNumber getRe() Returns the real part of a complex number Specified by: getRe in interface INumber Returns: real part







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DMelt 3.0 © DataMelt by jWork.ORG

Class FractionSym

Field Summary

Fields inherited from interface org.matheclipse.core.interfaces.IExpr

Method Summary

Methods inherited from class org.matheclipse.core.expression.ExprImpl

Methods inherited from class java.lang.Object

Methods inherited from interface org.matheclipse.core.interfaces.IExpr

Methods inherited from interface edu.jas.structure.RingElem

Methods inherited from interface edu.jas.structure.AbelianGroupElem

Methods inherited from interface edu.jas.structure.MonoidElem

Methods inherited from interface edu.jas.structure.Element

Method Detail

valueOf

valueOf

valueOf

valueOf

valueOf

valueOf

isZero

equalsInt

getBigDenominator

getBigNumerator

getFraction

getDenominator

getNumerator

hierarchy

add

multiply

isNegative

isPositive

eabs

add

divide

doubleValue

equals

evaluate

numericNumber

normalize

getDividend

getDivisor

hashCode

longValue

multiply

negate

opposite

plus

divideBy

subtractFrom

pow

inverse

subtract

times

internalFormString

toInt

toLong

toString

fullFormString

getRational

sign

complexSign

ceil

floor

round

compareTo

isLessThan

isGreaterThan

head

accept

accept

accept

getIm

getRe