org.matheclipse.core.interfaces

Interface IInteger

All Superinterfaces:

AbelianGroupElem<IExpr>, java.lang.Comparable<IExpr>, Element<IExpr>, IBigNumber, IExpr, INumber, IRational, ISignedNumber, MonoidElem<IExpr>, RingElem<IExpr>, java.io.Serializable

All Known Implementing Classes:

IntegerSym

public interface IInteger
extends IRational

An expression representing a big integer number

Field Summary

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

ASTID, COMPLEXID, DOUBLECOMPLEXID, DOUBLEID, FRACTIONID, INTEGERID, METHODSYMBOLID, PATTERNID, STRINGID, SYMBOLID

Method Summary

Modifier and Type	Method and Description
IInteger	add(IInteger val)
IInteger	gcd(IInteger val) Returns the greatest common divisor of this large integer and the one specified.
java.math.BigInteger	getBigNumerator() Returns the numerator of this Rational.
int	intValue() Converts this large integer to int; unlike ISignedNumber.toInt() this method raises no exception, if this integer cannot be represented by an int type.
boolean	isEven()
boolean	isOdd()
IInteger	lcm(IInteger val) Returns the least common multiple of this large integer and the one specified.
long	longValue()
IInteger	multiply(IInteger value) Multiply this integer with value
IInteger	nthRoot(int n) Returns the n-th integer root
IInteger[]	nthRootSplit(int n) Split this integer into the nth-root (with prime factors less equal 1021) and the "rest factor"
IInteger	pow(int exponent)
IInteger	subtract(IInteger value)

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

getDenominator, getFraction, getNumerator

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

ceil, divideBy, doubleValue, floor, inverse, isGreaterThan, isLessThan, isNegative, isPositive, isZero, negate, opposite, round, sign, subtractFrom, toInt, toLong

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

numericNumber

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

complexSign, eabs, equalsInt, getIm, getRe

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

accept, accept, accept, and, apply, apply, asType, compareTo, evaluate, fullFormString, getAt, head, hierarchy, internalFormString, 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, plus, power, power, replaceAll, replaceAll, replacePart, replaceRepeated, replaceRepeated, replaceSlots, signum, times, 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, equals, factory, hashCode, toScript, toScriptFactory

Method Detail

add

IInteger add(IInteger val)

isEven

boolean isEven()

isOdd

boolean isOdd()

getBigNumerator

java.math.BigInteger getBigNumerator()

Returns the numerator of this Rational.

Returns:

numerator

multiply

IInteger multiply(IInteger value)

Multiply this integer with value

Parameters:

value -

Returns:

subtract

IInteger subtract(IInteger value)

pow

IInteger pow(int exponent)

intValue

int intValue()

Converts this large integer to int; unlike ISignedNumber.toInt() this method raises no exception, if this integer cannot be represented by an int type.

Returns:

the numeric value represented by this integer after conversion to type int.

longValue

long longValue()

gcd

IInteger gcd(IInteger val)

Returns the greatest common divisor of this large integer and the one specified.

lcm

IInteger lcm(IInteger val)

Returns the least common multiple of this large integer and the one specified.

nthRoot

IInteger nthRoot(int n)
          throws java.lang.ArithmeticException

Returns the n-th integer root

Parameters:

n -

Returns:

Throws:

java.lang.ArithmeticException

nthRootSplit

IInteger[] nthRootSplit(int n)

Split this integer into the nth-root (with prime factors less equal 1021) and the "rest factor"

Returns:

{nth-root, rest factor}