Uses of Class edu.jas.arith.BigQuaternion

Packages that use BigQuaternion
Package Description

edu.jas.arith
Basic arithmetic package.

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
`class`	`BigQuaternionInteger`	Integer BigQuaternion class based on BigRational implementing the RingElem interface and with the familiar MAS static method names.

Fields in edu.jas.arith declared as BigQuaternion
Modifier and Type	Field	Description
`BigQuaternion`	BigQuaternionRing.`I`	The constant i.
`BigQuaternion`	BigQuaternionRing.`J`	The constant j.
`BigQuaternion`	BigQuaternionRing.`K`	The constant k.
`BigQuaternion`	BigOctonion.`oi`	Second part of the data structure.
`BigQuaternion`	BigQuaternionRing.`ONE`	The constant 1.
`BigQuaternion`	BigOctonion.`or`	First part of the data structure.
`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 java.util.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(java.math.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(java.io.Reader r)`	Parse quaternion number from Reader.
`BigQuaternion`	BigQuaternionRing.`parse(java.lang.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, java.util.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
`java.util.List<BigQuaternion>`	BigQuaternionRing.`generators()`	Get a list of the generating elements.
`java.util.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
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.

Uses of Classedu.jas.arith.BigQuaternion

Uses of BigQuaternion in edu.jas.arith

Uses of Class
edu.jas.arith.BigQuaternion