Uses of Class
edu.jas.arith.BigQuaternion

Packages that use BigQuaternion

Package	Description
edu.jas.arith	Basic arithmetic package.

Uses of BigQuaternion in edu.jas.arith

Subclasses of BigQuaternion in edu.jas.arith

Modifier and Type	Class	Description
final class	BigQuaternionInteger	Integer BigQuaternion class based on BigRational implementing the RingElem interface and with the familiar MAS static method names.

Classes in edu.jas.arith that implement interfaces with type arguments of type BigQuaternion

Modifier and Type	Class	Description
class	BigQuaternion	BigQuaternion class based on BigRational implementing the RingElem interface and with the familiar MAS static method names.
class	BigQuaternion	BigQuaternion class based on BigRational implementing the RingElem interface and with the familiar MAS static method names.
final class	BigQuaternionRing	BigQuaternion ring class based on BigRational implementing the RingElem interface.

Fields in edu.jas.arith declared as BigQuaternion

Modifier and Type	Field	Description
final BigQuaternion	BigQuaternionRing.I	The constant i.
final BigQuaternion	BigQuaternionRing.J	The constant j.
final BigQuaternion	BigQuaternionRing.K	The constant k.
final BigQuaternion	BigOctonion.oi	Second part of the data structure.
final BigQuaternion	BigQuaternionRing.ONE	The constant 1.
final BigQuaternion	BigOctonion.or	First part of the data structure.
final BigQuaternion	BigQuaternionRing.ZERO	The constant 0.

Fields in edu.jas.arith with type parameters of type BigQuaternion

Modifier and Type	Field	Description
(package private) static List<BigQuaternion>	BigQuaternionRing.entierUnits	List of all 24 integral units.

Methods in edu.jas.arith that return BigQuaternion

Modifier and Type	Method	Description
BigQuaternion	BigQuaternion.abs()	Quaternion number absolute value.
BigQuaternion	BigQuaternionInteger.abs()	Quaternion number absolute value.
BigQuaternion	BigQuaternion.ceil()	BigQuaternion ceiling, component wise.
BigQuaternion	BigQuaternion.conjugate()	BigQuaternion conjugate.
BigQuaternion	BigQuaternion.copy()	Clone this.
BigQuaternion	BigQuaternionRing.copy(BigQuaternion c)	Copy BigQuaternion element c.
BigQuaternion	BigQuaternion.divide(BigQuaternion b)	BigQuaternion right divide.
BigQuaternion	BigQuaternion.divide(BigRational b)	BigQuaternion divide.
BigQuaternion	BigQuaternionInteger.divide(BigQuaternion b)	BigQuaternion right divide.
BigQuaternion	BigQuaternionInteger.divide(BigRational b)	BigQuaternion divide.
BigQuaternion[]	BigQuaternion.egcd(BigQuaternion S)	BigQuaternion extended greatest common divisor.
BigQuaternion[]	BigQuaternionInteger.egcd(BigQuaternion S)	BigQuaternion extended greatest common divisor.
BigQuaternion	BigQuaternion.floor()	BigQuaternion floor, component wise.
BigQuaternion	BigQuaternionRing.fromInteger(long a)	Get a BigQuaternion element from a long.
BigQuaternion	BigQuaternionRing.fromInteger(long[] a)	Get a BigQuaternion element from a long vector.
BigQuaternion	BigQuaternionRing.fromInteger(BigInteger a)	Get a BigQuaternion element from a BigInteger.
BigQuaternion	BigQuaternion.gcd(BigQuaternion S)	Quaternion number greatest common divisor.
BigQuaternion	BigQuaternionInteger.gcd(BigQuaternion S)	Quaternion number greatest common divisor.
BigQuaternion	BigOctonion.getI()	Get the oi part.
BigQuaternion	BigQuaternionRing.getONE()	Get the one element.
BigQuaternion	BigOctonion.getR()	Get the or part.
BigQuaternion	BigQuaternionRing.getZERO()	Get the zero element.
BigQuaternion	BigQuaternion.inverse()	BigQuaternion inverse.
BigQuaternion	BigQuaternionInteger.inverse()	BigQuaternion inverse.
BigQuaternion	BigQuaternion.leftDivide(BigQuaternion b)	BigQuaternion left divide.
BigQuaternion	BigQuaternionInteger.leftDivide(BigQuaternion b)	BigQuaternion left divide.
BigQuaternion	BigQuaternion.leftGcd(BigQuaternion S)	Quaternion number greatest common divisor.
BigQuaternion	BigQuaternionInteger.leftGcd(BigQuaternion S)	Integer quaternion number left greatest common divisor.
BigQuaternion[]	BigQuaternionInteger.leftQuotientAndRemainder(BigQuaternion b)	Integral quotient and remainder by left division of this by S.
BigQuaternion	BigQuaternion.leftRemainder(BigQuaternion S)	BigQuaternion left remainder.
BigQuaternion	BigQuaternionInteger.leftRemainder(BigQuaternion a)	Left remainder.
BigQuaternion	BigQuaternion.multiply(BigQuaternion B)	BigQuaternion multiply.
BigQuaternion	BigQuaternion.multiply(BigRational b)	BigQuaternion multiply with BigRational.
BigQuaternion	BigQuaternion.multiplyLeft(BigQuaternion B)	BigQuaternion multiply left.
BigQuaternion	BigQuaternion.negate()	BigQuaternion number negative.
BigQuaternion	BigQuaternion.norm()	Quaternion number norm.
BigQuaternion	BigQuaternionRing.parse(Reader r)	Parse quaternion number from Reader.
BigQuaternion	BigQuaternionRing.parse(String s)	Parse quaternion number from String.
static BigQuaternion	BigQuaternion.QCON(BigQuaternion A)	Quaternion number conjugate.
static BigQuaternion	BigQuaternion.QDIF(BigQuaternion A, BigQuaternion B)	Quaternion number difference.
static BigQuaternion	BigQuaternion.QINV(BigQuaternion A)	Quaternion number inverse.
static BigQuaternion	BigQuaternionInteger.QINV(BigQuaternion A)	Quaternion number inverse.
static BigQuaternion	BigQuaternion.QNEG(BigQuaternion A)	Quaternion number negative.
static BigQuaternion	BigQuaternion.QPROD(BigQuaternion A, BigQuaternion B)	Quaternion number product.
static BigQuaternion	BigQuaternion.QQ(BigQuaternion A, BigQuaternion B)	Quaternion number quotient.
static BigQuaternion	BigQuaternionInteger.QQ(BigQuaternion A, BigQuaternion B)	Quaternion number quotient.
static BigQuaternion	BigQuaternion.QSUM(BigQuaternion A, BigQuaternion B)	Quaternion number sum.
BigQuaternion[]	BigQuaternion.quotientRemainder(BigQuaternion S)	Quotient and remainder by division of this by S.
BigQuaternion[]	BigQuaternionInteger.quotientRemainder(BigQuaternion S)	Quotient and remainder by division of this by S.
BigQuaternion	BigQuaternionRing.random(int n)	BigQuaternion random.
BigQuaternion	BigQuaternionRing.random(int n, Random rnd)	BigQuaternion random.
BigQuaternion	BigQuaternion.remainder(BigQuaternion S)	BigQuaternion (right) remainder.
BigQuaternion	BigQuaternionInteger.remainder(BigQuaternion S)	BigQuaternion remainder.
BigQuaternion	BigQuaternion.rightDivide(BigQuaternion b)	BigQuaternion right divide.
BigQuaternion	BigQuaternionInteger.rightDivide(BigQuaternion b)	BigQuaternion right divide.
BigQuaternion	BigQuaternion.rightGcd(BigQuaternion S)	Quaternion number greatest common divisor.
BigQuaternion	BigQuaternionInteger.rightGcd(BigQuaternion S)	Integer quaternion number right greatest common divisor.
BigQuaternion[]	BigQuaternionInteger.rightQuotientAndRemainder(BigQuaternion b)	Integral quotient and remainder by right division of this by S.
BigQuaternion	BigQuaternion.rightRemainder(BigQuaternion S)	BigQuaternion right remainder.
BigQuaternion	BigQuaternionInteger.rightRemainder(BigQuaternion a)	Right remainder.
BigQuaternion	BigQuaternion.subtract(BigQuaternion B)	BigQuaternion subtraction.
BigQuaternion	BigQuaternion.sum(BigQuaternion B)	BigQuaternion summation.

Methods in edu.jas.arith that return types with arguments of type BigQuaternion

Modifier and Type	Method	Description
List<BigQuaternion>	BigQuaternionRing.generators()	Get a list of the generating elements.
List<BigQuaternion>	BigQuaternionRing.unitsOfHurwitzian()	BigQuaternion units of the Hurwitzian integers.

Methods in edu.jas.arith with parameters of type BigQuaternion

Modifier and Type	Method	Description
int	BigQuaternion.compareTo(BigQuaternion b)	Since quaternion numbers are unordered, we use lexicographical order of re, im, jm and km.
BigQuaternion	BigQuaternionRing.copy(BigQuaternion c)	Copy BigQuaternion element c.
BigQuaternion	BigQuaternion.divide(BigQuaternion b)	BigQuaternion right divide.
BigQuaternion	BigQuaternionInteger.divide(BigQuaternion b)	BigQuaternion right divide.
BigQuaternion[]	BigQuaternion.egcd(BigQuaternion S)	BigQuaternion extended greatest common divisor.
BigQuaternion[]	BigQuaternionInteger.egcd(BigQuaternion S)	BigQuaternion extended greatest common divisor.
BigQuaternion	BigQuaternion.gcd(BigQuaternion S)	Quaternion number greatest common divisor.
BigQuaternion	BigQuaternionInteger.gcd(BigQuaternion S)	Quaternion number greatest common divisor.
static boolean	BigQuaternion.isQONE(BigQuaternion A)	Is BigQuaternion number one.
static boolean	BigQuaternion.isQZERO(BigQuaternion A)	Is Quaternion number zero.
BigQuaternion	BigQuaternion.leftDivide(BigQuaternion b)	BigQuaternion left divide.
BigQuaternion	BigQuaternionInteger.leftDivide(BigQuaternion b)	BigQuaternion left divide.
BigQuaternion	BigQuaternion.leftGcd(BigQuaternion S)	Quaternion number greatest common divisor.
BigQuaternion	BigQuaternionInteger.leftGcd(BigQuaternion S)	Integer quaternion number left greatest common divisor.
BigQuaternion[]	BigQuaternionInteger.leftQuotientAndRemainder(BigQuaternion b)	Integral quotient and remainder by left division of this by S.
BigQuaternion	BigQuaternion.leftRemainder(BigQuaternion S)	BigQuaternion left remainder.
BigQuaternion	BigQuaternionInteger.leftRemainder(BigQuaternion a)	Left remainder.
BigQuaternion	BigQuaternion.multiply(BigQuaternion B)	BigQuaternion multiply.
BigQuaternion	BigQuaternion.multiplyLeft(BigQuaternion B)	BigQuaternion multiply left.
static BigRational	BigQuaternion.QABS(BigQuaternion A)	Quaternion number absolute value.
static BigQuaternion	BigQuaternion.QCON(BigQuaternion A)	Quaternion number conjugate.
static BigQuaternion	BigQuaternion.QDIF(BigQuaternion A, BigQuaternion B)	Quaternion number difference.
static BigQuaternion	BigQuaternion.QINV(BigQuaternion A)	Quaternion number inverse.
static BigQuaternion	BigQuaternionInteger.QINV(BigQuaternion A)	Quaternion number inverse.
static BigQuaternion	BigQuaternion.QNEG(BigQuaternion A)	Quaternion number negative.
static BigQuaternion	BigQuaternion.QPROD(BigQuaternion A, BigQuaternion B)	Quaternion number product.
static BigQuaternion	BigQuaternion.QQ(BigQuaternion A, BigQuaternion B)	Quaternion number quotient.
static BigQuaternion	BigQuaternionInteger.QQ(BigQuaternion A, BigQuaternion B)	Quaternion number quotient.
static BigQuaternion	BigQuaternion.QSUM(BigQuaternion A, BigQuaternion B)	Quaternion number sum.
BigQuaternion[]	BigQuaternion.quotientRemainder(BigQuaternion S)	Quotient and remainder by division of this by S.
BigQuaternion[]	BigQuaternionInteger.quotientRemainder(BigQuaternion S)	Quotient and remainder by division of this by S.
BigQuaternion	BigQuaternion.remainder(BigQuaternion S)	BigQuaternion (right) remainder.
BigQuaternion	BigQuaternionInteger.remainder(BigQuaternion S)	BigQuaternion remainder.
BigQuaternion	BigQuaternion.rightDivide(BigQuaternion b)	BigQuaternion right divide.
BigQuaternion	BigQuaternionInteger.rightDivide(BigQuaternion b)	BigQuaternion right divide.
BigQuaternion	BigQuaternion.rightGcd(BigQuaternion S)	Quaternion number greatest common divisor.
BigQuaternion	BigQuaternionInteger.rightGcd(BigQuaternion S)	Integer quaternion number right greatest common divisor.
BigQuaternion[]	BigQuaternionInteger.rightQuotientAndRemainder(BigQuaternion b)	Integral quotient and remainder by right division of this by S.
BigQuaternion	BigQuaternion.rightRemainder(BigQuaternion S)	BigQuaternion right remainder.
BigQuaternion	BigQuaternionInteger.rightRemainder(BigQuaternion a)	Right remainder.
BigQuaternion	BigQuaternion.subtract(BigQuaternion B)	BigQuaternion subtraction.
BigQuaternion	BigQuaternion.sum(BigQuaternion B)	BigQuaternion summation.

Constructors in edu.jas.arith with parameters of type BigQuaternion

Modifier	Constructor	Description
	BigOctonion(BigQuaternion r)	Constructor for a BigOctonion from BigQuaternion.
	BigOctonion(BigQuaternion r, BigQuaternion i)	Constructor for a BigOctonion from Quaternions.
	BigQuaternionInteger(BigQuaternionRing fac, BigQuaternion q)	Constructor for a BigQuaternionInteger from BigQuaternion.