public class BigFractionSym extends AbstractFractionSym
org.apache.commons.math4.fraction.BigFraction
methods.IFraction
,
FractionSym
,
Serialized FormMONE, ONE, ZERO
ASTID, BLANKID, COMPLEXID, DOUBLECOMPLEXID, DOUBLEID, FRACTIONID, INTEGERID, METHODSYMBOLID, PATTERNID, STRINGID, SYMBOLID
Modifier and Type | Method and Description |
---|---|
IFraction |
abs()
Compute the absolute of this rational.
|
IFraction |
add(IFraction other)
Return a new rational representing
this + other . |
IRational |
add(IRational parm1) |
IInteger |
ceil() |
IFraction |
ceilFraction()
Return a new rational representing the smallest integral rational not
smaller than
this . |
int |
compareAbsValueToOne()
Compare the absolute value of this number with
1 and return
1 , if the absolute value is greater than 1
0 , if the absolute value equals 1
-1 , if the absolute value is less than 1
|
int |
compareInt(int value) |
int |
compareTo(IExpr expr)
Compares this expression with the specified expression for order.
|
ComplexNum |
complexNumValue()
Get a
ComplexNum number bject. |
IFraction |
div(IFraction other)
Return a new rational representing
this / other . |
IInteger[] |
divideAndRemainder()
Returns an array of two BigIntegers containing (numerator / denominator)
followed by (numerator % denominator).
|
double |
doubleValue() |
boolean |
equals(java.lang.Object o)
Test if this is equal to b.
|
boolean |
equalsFraction(int numerator,
int denominator)
Check if this number equals the given fraction
numerator/denominator number. |
boolean |
equalsInt(int numerator)
Check if this number equals the given
int number? |
IInteger |
floor() |
IFraction |
floorFraction()
Return a new rational representing the biggest integral rational not
bigger than
this . |
IFraction |
frac()
Returns the fractional part of the rational, i.e. the number
this.sub(this.floor()).
|
java.lang.String |
fullFormString()
Return the
FullForm() of this expression |
IExpr |
gcd(IExpr that)
Greatest common divisor.
|
IFraction |
gcd(IFraction other)
Compute the gcd of two rationals (this and other).
|
java.math.BigInteger |
getBigDenominator()
Returns the denominator of this fraction.
|
java.math.BigInteger |
getBigNumerator()
Returns the numerator of this fraction.
|
org.apache.commons.math4.fraction.BigFraction |
getFraction()
Returns this number as
BigFraction number. |
org.apache.commons.math4.fraction.BigFraction |
getRational() |
int |
hashCode()
Hashcode of this Element.
|
IFraction |
idiv(IFraction other)
Return a new rational representing
this / other . |
java.lang.String |
internalJavaString(boolean symbolsAsFactoryMethod,
int depth,
boolean useOperators)
Return the internal Java form of this expression.
|
IFraction |
inverse()
Returns a new rational representing the inverse of
this . |
boolean |
isIntegral()
Check whether this rational represents an integral value (i.e. the
denominator equals 1).
|
boolean |
isMinusOne()
Test if this expression equals
-1 in symbolic or numeric
mode. |
boolean |
isNegative()
Test if this object is a negative signed number.
|
boolean |
isOne()
Test if this expression equals
1 in symbolic or numeric
mode. |
boolean |
isPositive()
Test if this object is a positive signed number.
|
boolean |
isZero()
Test if this expression equals
0 in symbolic or numeric
mode. |
IFraction |
mul(java.math.BigInteger other)
Return a new rational representing
this * other . |
IRational |
multiply(IRational parm1) |
IFraction |
negate()
Returns a new rational equal to
-this . |
INumber |
normalize()
Return the normalized form of this number (i.e. if the denominator part
equals one, return the numerator part as an integer number).
|
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).
|
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() |
accept, accept, accept, accept, addmul, apcomplexNumValue, apcomplexValue, apfloatNumValue, complexSign, divideBy, divideBy, eabs, evaluate, factorInteger, gcd, getDenominator, getIm, getImaginary, getNumerator, getRe, getReal, head, hierarchy, isGreaterThan, isLessThan, isNumEqualRational, isRationalValue, mul, multiply, numericNumber, numValue, opposite, plus, pow, sub, subdiv, subtract, subtractFrom, times, valueOf, valueOf, valueOf, valueOf, valueOf, valueOf, valueOf
$div, $minus, $plus, $times, $up, and, apply, apply, asType, conjugate, copy, dec, divide, egcd, evalComplex, evalDouble, evalNumber, evalSignedNumber, factory, getAt, inc, internalFormString, internalScalaString, leafCount, leaves, minus, mod, multiply, negative, optional, or, power, power, remainder, replaceAll, replaceAll, replacePart, replaceRepeated, replaceRepeated, replaceRepeated, replaceSlots, signum, subtract, sum, topHead, toScript, toScriptFactory, variables2Slots
clone, finalize, getClass, notify, notifyAll, wait, wait, wait
$div, $minus, $plus, $times, $up, and, apply, apply, asType, dec, divide, evalComplex, evalDouble, evalNumber, evalSignedNumber, evaluateHead, getAt, getField, ifPresent, inc, internalFormString, internalScalaString, isAllExpanded, isAnd, isArcCos, isArcCosh, isArcSin, isArcSinh, isArcTan, isArcTanh, isAST, isAST, isAST, isAST, isAST, isAST, isAST, isASTSizeGE, isAtom, isBlank, isComplex, isComplexInfinity, isComplexNumeric, isCondition, isConstant, isCos, isCosh, isDerivative, isDirectedInfinity, isE, isExpanded, isFalse, isFlatAST, isFraction, isFree, isFree, isFree, isFreeAST, isFreeAST, isFreeOfPatterns, isFunction, isGEOrdered, isGTOrdered, isIndeterminate, isInfinity, isInteger, isIntegerResult, isLEOrdered, isList, isListOfLists, isLog, isLTOrdered, isMatrix, isMember, isMember, isModule, isNegativeInfinity, isNegativeResult, isNonNegativeResult, isNot, isNumber, isNumEqualInteger, isNumeric, isNumericFunction, isNumericMode, isNumIntValue, isONE, isOr, isOrderlessAST, isPattern, isPatternDefault, isPatternExpr, isPatternSequence, isPi, isPlus, isPlusTimesPower, isPolynomial, isPolynomial, isPolynomialOfMaxDegree, isPositiveResult, isPower, isPresent, isRational, isRationalResult, isRealResult, isRuleAST, isSame, isSame, isSequence, isSignedNumber, isSin, isSinh, isSlot, isSlotSequence, isSpan, isSymbol, isTan, isTanh, isTimes, isTrue, isUnit, isValue, isVariable, isVector, isZERO, leafCount, leaves, minus, mod, multiply, multiply, negative, ofNullable, optional, or, orElse, orElseGet, orElseThrow, power, power, reciprocal, replaceAll, replaceAll, replacePart, replaceRepeated, replaceRepeated, replaceSlots, signum, subtract, sum, timesDistributed, topHead, variables2Slots
public IFraction abs()
AbstractFractionSym
public IFraction add(IFraction other)
this + other
.add
in interface IFraction
add
in class AbstractFractionSym
other
- Rational to add.this
and other
.public IInteger ceil()
public IFraction ceilFraction()
this
.ceilFraction
in interface INumber
ceilFraction
in class AbstractFractionSym
this
.public int compareAbsValueToOne()
INumber
1
and return
1
, if the absolute value is greater than 10
, if the absolute value equals 1-1
, if the absolute value is less than 1public int compareInt(int value)
public int compareTo(IExpr expr)
IExpr
public ComplexNum complexNumValue()
INumber
ComplexNum
number bject.public IFraction div(IFraction other)
this / other
.other
- Rational to divide.this
and other
.public IInteger[] divideAndRemainder()
IFraction
public double doubleValue()
public boolean equals(java.lang.Object o)
edu.jas.structure.Element
equals
in interface edu.jas.structure.Element<IExpr>
equals
in class java.lang.Object
public final boolean equalsFraction(int numerator, int denominator)
IRational
numerator/denominator
number.
GCD(numerator, /denominator)
should be 1;numerator
- the numeratordenominator
- the denominatorpublic boolean equalsInt(int numerator)
INumber
int
number?equalsInt
in interface INumber
equalsInt
in class AbstractFractionSym
numerator
- the integer numberpublic IInteger floor()
public IFraction floorFraction()
this
.floorFraction
in interface INumber
floorFraction
in class AbstractFractionSym
this
.public IFraction frac()
this
.public java.lang.String fullFormString()
IExpr
FullForm()
of this expressionfullFormString
in interface IExpr
fullFormString
in class ExprImpl
public IExpr gcd(IExpr that)
edu.jas.structure.RingElem
public IFraction gcd(IFraction other)
other
- the second rational argument.public java.math.BigInteger getBigDenominator()
IFraction
public java.math.BigInteger getBigNumerator()
IFraction
public org.apache.commons.math4.fraction.BigFraction getFraction()
BigFraction
number.this
number s big fraction.public org.apache.commons.math4.fraction.BigFraction getRational()
public int hashCode()
edu.jas.structure.Element
hashCode
in interface edu.jas.structure.Element<IExpr>
hashCode
in class java.lang.Object
public IFraction idiv(IFraction other)
this / other
.other
- Rational to divide.this
and other
.public java.lang.String internalJavaString(boolean symbolsAsFactoryMethod, int depth, boolean useOperators)
ExprImpl
internalJavaString
in interface IExpr
internalJavaString
in class ExprImpl
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".useOperators
- use operators instead of function names for representation of
Plus, Times, Power,...public IFraction inverse()
this
.inverse
in interface edu.jas.structure.MonoidElem<IExpr>
inverse
in interface IExpr
inverse
in interface IFraction
inverse
in interface ISignedNumber
inverse
in class AbstractFractionSym
this
.public boolean isIntegral()
isIntegral
in class AbstractFractionSym
true
iff value is integral.public boolean isMinusOne()
-1
in symbolic or numeric
mode.public boolean isNegative()
IAST
object the method checks, if it is a numeric constant. If the
IAST
object evaluates to a negative numeric expression this
method returns true
.true
, if this < 0
; false
in all other case.public boolean isOne()
1
in symbolic or numeric
mode.public boolean isPositive()
IAST
object the method checks, if it is a numeric constant. If the
IAST
object evaluates to a positive numeric expression this
method returns true
.true
, if this > 0
; false
in all other case.public boolean isZero()
0
in symbolic or numeric
mode.public IFraction mul(java.math.BigInteger other)
this * other
.other
- big integer to multiply.this
and other
.public IFraction negate()
-this
.negate
in interface edu.jas.structure.AbelianGroupElem<IExpr>
negate
in interface org.apache.commons.math4.FieldElement<IExpr>
negate
in interface IFraction
negate
in interface IRational
negate
in interface ISignedNumber
negate
in class AbstractFractionSym
-this
public INumber normalize()
IRational
public IInteger round()
IInteger
to the argument. The result is rounded to an integer by adding 1/2 and taking the
floor of the result.ArithmeticException
if a numeric value cannot be represented by an long
type.public int sign()
sign
in interface ISignedNumber
sign
in class AbstractFractionSym
public int toInt() throws java.lang.ArithmeticException
int
; unlike #intValue
this method raises ArithmeticException
if this
number cannot be represented by an int
type.int
.java.lang.ArithmeticException
- if conversion to int
is not possible.public long toLong() throws java.lang.ArithmeticException
long
; unlike #longValue
this method raises ArithmeticException
if this
number cannot be represented by an long
type.long
.java.lang.ArithmeticException
- if conversion to int
is not possible.public java.lang.String toString()
toString
in class java.lang.Object