Uses of Class
com.perisic.ring.RingElt

Uses of RingElt in com.perisic.ring

Methods in com.perisic.ring that return RingElt

RingElt	Matrix2x2Ring.a(RingElt m) Returns the first coefficient (element) of the matrix as an element of the base ring.
RingElt	UniversalRing.add(RingElt a, RingElt b) Addition.
abstract RingElt	Ring.add(RingElt a, RingElt b) The addition a + b of two ring elements a and b.
RingElt	RationalField.add(RingElt a, RingElt b) Returns a + b.
RingElt	QuotientField.add(RingElt a, RingElt b) Addition a + b.
RingElt	PolynomialRing.add(RingElt p, RingElt q) Returns the sum of the parameters.
RingElt	ModularRing.add(RingElt a, RingElt b) Addition.
RingElt	ModularIntegerRing.add(RingElt a, RingElt b) Returns a + b mod m.
RingElt	Matrix2x2Ring.add(RingElt m1, RingElt m2) Returns the sum of a 2*2 matrix, m1 + m2.
RingElt	IntegerRing.add(RingElt a, RingElt b) Returns the sum of the parameters.
RingElt	F2Field.add(RingElt a, RingElt b) The addition a + b mod 2.
RingElt	DoubleField.add(RingElt a, RingElt b) Addition.
RingElt	Matrix2x2Ring.b(RingElt m) Returns the second element of the matrix as an element of the base ring.
RingElt	Matrix2x2Ring.c(RingElt m) Returns the third element of the matrix as an element of the base ring.
RingElt	RationalField.construct(java.math.BigInteger numerator, java.math.BigInteger denominator) Returns numerator/denominator.
RingElt	PolynomialRing.construct(int[] exponents, java.lang.Object[] coefficients) Returns a Polynomial by matching exponents to coefficients.
RingElt	PolynomialRing.construct(int exponent, java.lang.Object coefficient) Returns the Polynomial coefficient * X^exponent, where X is the variable of this PolynomialRing.
RingElt	QuotientField.construct(RingElt numerator, RingElt denominator) Constructs numerator/denominator.
RingElt	Matrix2x2Ring.construct(RingElt a, RingElt b, RingElt c, RingElt d) constructs the elements of a 2*2 matrix, a, b, c, and d.
RingElt	PolynomialRing.contents(RingElt b) Returns the contents of b.
RingElt	Matrix2x2Ring.d(RingElt m) Returns the fourth element of the matrix as an element of the base ring.
RingElt	QuotientField.denominator(RingElt b) Returns the denominator of b as an element of the base ring.
RingElt	Matrix2x2Ring.det(RingElt m1) Returns the determinant of m.
RingElt	Ring.div(RingElt a, RingElt b) Computes a/b.
RingElt[]	PolynomialRing.divmod(RingElt p, RingElt q) Returns an array { p/q, p%q }.
RingElt	UniversalRing.ediv(RingElt a, RingElt b) Euclidian division.
RingElt	Ring.ediv(RingElt a, RingElt b) Returns a div b (euclidian division).
RingElt	PolynomialRing.ediv(RingElt p, RingElt q) Returns p/q (Euclidian division).
RingElt	IntegerRing.ediv(RingElt a, RingElt b) Euclidian division.
RingElt	Ring.evaluatePolynomial(RingElt p, RingElt b) Evaluates the Polynomial p at b.
RingElt	UniversalPolynomialRing.evaluatePolynomial(RingElt p, java.lang.String[] var, RingElt[] b) Evaluates the polynomial p at the variables var[i] with the values b[i].
RingElt	UniversalPolynomialRing.evaluatePolynomial(RingElt p, java.lang.String var, RingElt b) Evaluates the Polynomial p (which may be defined over more than one variable) at b for the variable var.
RingElt[]	PolynomialRing.extendedGcd(RingElt a, RingElt b) Extended greatest common divisor of the parameters.
RingElt	UniversalRing.gcd(RingElt a, RingElt b) gcd.
RingElt	Ring.gcd(RingElt a, RingElt b) Returns gcd(a,b).
RingElt	PolynomialRing.gcd(RingElt p, RingElt q) Greatest common divisor of the parameters.
RingElt	PolynomialRing.getCoefficientAt(int i, RingElt b) Returns the coefficient for x^i of b (or null), where b is considered as an univariate polynomial over x.
static RingElt	CyclotomicField.getCyclotomicPolynomial(Ring F, int n, java.lang.String variable) Constructs the n-th cyclotomic polynomial over the ring F as a polynomial in the variable variable.
RingElt	ModularRing.getModulus() Returns f if this is R/fR.
RingElt	PolynomialRing.getTrueCoefficientAt(int i, RingElt b) Returns the coefficient for x^i of b, where b is considered as an univariate polynomial over x.
RingElt	ModularRing.getValue(RingElt b) Returns the value of b as an element of R.
RingElt	PolynomialRing.globalLeadingCoefficient(RingElt b) Determins recursively the global leading Coefficient of the polynomial over all variables.
RingElt	UniversalRing.inv(RingElt a) Multiplicative Inverse.
RingElt	Ring.inv(RingElt b) Returns b^-1.
RingElt	RationalField.inv(RingElt b) Returns the multiplicative inverse.
RingElt	QuotientField.inv(RingElt b) Returns b^-1.
RingElt	PolynomialRing.inv(RingElt b) Returns 1/b as an element of this Ring.
RingElt	ModularRing.inv(RingElt b) Returns the inverse b.
RingElt	ModularIntegerRing.inv(RingElt b) Returns b^-1 mod m.
RingElt	Matrix2x2Ring.inv(RingElt m1) Returns the inverse of a matrix m1.
RingElt	IntegerRing.inv(RingElt b) Returns b for b == 1 and b == -1.
RingElt	F2Field.inv(RingElt b) Returns b^-1.
RingElt	DoubleField.inv(RingElt a) Multiplicative Inverse.
RingElt	PolynomialRing.leadingCoefficient(RingElt b) The leading coefficient of b, where b is considered as an univariate polynomial.
RingElt	Ring.map(java.math.BigInteger a) Maps a into the Ring.
RingElt	F2Field.map(boolean b) Maps false to 0 and true to 1.
RingElt	DoubleField.map(double r) Maps a double to this field.
RingElt	Ring.map(int a) Maps a into the Ring.
RingElt	UniversalCyclotomicField.map(int n, java.lang.String str) maps the string str into the n-th cyclotomic field
RingElt	Ring.map(java.lang.Object a) By default, maps a into the Ring using appropriate methods if a is a RingElt, a BigInteger or a String.
RingElt	UniversalRing.map(RingElt a) Maps a RingElt using the findRing() method with one parameter.
RingElt	UniversalCyclotomicField.map(RingElt r) The following Rings are mapped: Cyclotomic fields, where the variable is of the form z* where z ist the preifx of the variable and * is a number; Polynomial rings and Quotient fields over Polynomial rings where the variables are of the form z*; the usual suspects (Z, Q).
RingElt	Ring.map(RingElt a) Maps a into the Ring.
RingElt	RationalField.map(RingElt a) Maps Ring.Z elements and into this.
RingElt	QuotientField.map(RingElt a) If a is an element of another QuotientRing, numerator and denominator are mapped to B.
RingElt	PolynomialRing.map(RingElt a) Maps a RingElt of various other rings to this ring.
RingElt	ModularRing.map(RingElt a) If the ring of a is a quotient field we map the quotient of numerator and denominator.
RingElt	ModularIntegerRing.map(RingElt a) Performs the ususal map as in Ring.map(RingElt).
RingElt	Matrix2x2Ring.map(RingElt m) Maps a 2x2 matrix m into this.
RingElt	F2Field.map(RingElt b) If b is a modular integer ring, such that the modulus maps to 0, the value of b is mapped to F2.
RingElt	CyclotomicField.map(RingElt a) If the ring of the argument is of a dth cyclotomic field and d a divisor of n we embed via the mapping zd -> znn/d where zn denotes a fixed nth root of unity.
RingElt	UniversalRing.map(java.lang.String str) Maps a string to the ring obtained by findRing() without parameter.
RingElt	UniversalPolynomialRing.map(java.lang.String str) All Java identifiers are allowed as variables.
RingElt	UniversalCyclotomicField.map(java.lang.String str) Strings denoting Rational functions (elements of Quotient fields of Polynomial rings) over variables of the form z* where z ist the preifx of the variable and * is a number; are mapped.
RingElt	Ring.map(java.lang.String str) Maps a String into the Ring.
RingElt	RationalField.map(java.lang.String a) Maps the String a of the form xxxxx/yyyyy and xxxxxx into this field.
RingElt	QuotientField.map(java.lang.String a) Maps the String a into this Ring.
RingElt	PolynomialRing.map(java.lang.String a) Maps a String to an element of this PolynomialRing.
RingElt	ModularRing.map(java.lang.String str) Maps str first into R, then into this.
RingElt	Matrix2x2Ring.map(java.lang.String str) Maps a matrix of the form { { xxx, yyy } { uuu, vvv } } into this ring.
RingElt	DoubleField.map(java.lang.String str) Returns str as a DoubleField.
RingElt	UniversalRing.mod(RingElt a, RingElt b) Modular computation.
RingElt	Ring.mod(RingElt a, RingElt m) Returns a % m (euclidian division, a modulo m).
RingElt	PolynomialRing.mod(RingElt p, RingElt q) Returns p%q (remainder of Euclidian division).
RingElt	IntegerRing.mod(RingElt a, RingElt b) Remainder of Euclidian division.
RingElt	UniversalRing.mult(RingElt a, RingElt b) Multiplication.
abstract RingElt	Ring.mult(RingElt a, RingElt b) The mutiplicaton a * b of two ring elements a and b.
RingElt	RationalField.mult(RingElt a, RingElt b) Returns a * b.
RingElt	QuotientField.mult(RingElt a, RingElt b) Multiplication a * b.
RingElt	PolynomialRing.mult(RingElt p, RingElt q) Returns the product of the parameters.
RingElt	ModularRing.mult(RingElt a, RingElt b) Multiplication.
RingElt	ModularIntegerRing.mult(RingElt a, RingElt b) Returns a * b mod m.
RingElt	Matrix2x2Ring.mult(RingElt m1, RingElt m2) Return the product of two 2*2 matrices, m1 * m2.
RingElt	IntegerRing.mult(RingElt a, RingElt b) Returns the product of the parameters.
RingElt	F2Field.mult(RingElt a, RingElt b) The multiplicaton a * b mod 2.
RingElt	DoubleField.mult(RingElt a, RingElt b) Multiplication.
RingElt	UniversalRing.neg(RingElt b) The additive inverse of b.
abstract RingElt	Ring.neg(RingElt a) Returns the additive inverse -a of an ring element a.
RingElt	RationalField.neg(RingElt b) Returns -b.
RingElt	QuotientField.neg(RingElt b) Returns -b.
RingElt	PolynomialRing.neg(RingElt b) Returns -b as an element of this Ring.
RingElt	ModularRing.neg(RingElt b) Returns -b.
RingElt	ModularIntegerRing.neg(RingElt b) Returns -b mod m.
RingElt	Matrix2x2Ring.neg(RingElt m1) Returns the negation of a matrix, -m1.
RingElt	IntegerRing.neg(RingElt b) Returns -b as an element of this Ring.
RingElt	F2Field.neg(RingElt a) Returns -a mod 2.
RingElt	DoubleField.neg(RingElt b) The additive inverse of b.
RingElt	PolynomialRing.normalize(RingElt b) Returns a normal form for the polynomial b.
RingElt	QuotientField.numerator(RingElt b) Returns the numerator of b as an element of the base ring.
RingElt	UniversalRing.one() The 1 of the ring.
RingElt	Ring.one() Returns the 1 of the ring.
RingElt	RationalField.one() Returns 1.
RingElt	QuotientField.one() Returns 1.
RingElt	PolynomialRing.one() Returns 1 as an element of this Ring.
RingElt	ModularRing.one() Returns 1.
RingElt	ModularIntegerRing.one() Returns 1.
RingElt	Matrix2x2Ring.one() Returns the Identity matrix, I = {{ 1, 0 } { 0, 1}}.
RingElt	IntegerRing.one() Returns 1 as an element of this Ring.
RingElt	F2Field.one() Returns the 1 of the ring.
RingElt	DoubleField.one() The 1 of the field.
RingElt	Ring.pow(RingElt b, java.math.BigInteger a) Returns b^a.
RingElt	Ring.pow(RingElt b, int a) Returns b^a.
RingElt	PolynomialRing.primitivePart(RingElt a) Returns b/contents(b).
RingElt	UniversalPolynomialRing.reduceVariables(RingElt p) Reduces the polynomial into a polynomial of the polynomial ring with the fewest variables.
RingElt	Ring.sub(RingElt a, RingElt b) Returns a - b.
RingElt	UniversalRing.tdiv(RingElt a, RingElt b) True division.
RingElt	Ring.tdiv(RingElt a, RingElt b) Computes a/b (true division).
RingElt	PolynomialRing.tdiv(RingElt p, RingElt q) Returns p/q (true division).
RingElt	ModularIntegerRing.tdiv(RingElt a, RingElt b) The same as div(a,b).
RingElt	IntegerRing.tdiv(RingElt a, RingElt b) True division.
RingElt	Matrix2x2Ring.trace(RingElt m1) Returns the trace of m.
RingElt	UniversalRing.zero() The 0 of the ring.
abstract RingElt	Ring.zero() Returns the 0 of the ring.
RingElt	RationalField.zero() Returns 0.
RingElt	QuotientField.zero() Returns 0.
RingElt	PolynomialRing.zero() Returns 0 as an element of this Ring.
RingElt	ModularRing.zero() Returns 0.
RingElt	ModularIntegerRing.zero() Returns 0.
RingElt	Matrix2x2Ring.zero() Returns the zero matrix { { 0, 0 } { 0, 0 }}.
RingElt	IntegerRing.zero() Returns 0 as an element of this Ring.
RingElt	F2Field.zero() Returns 0 mod 2.
RingElt	DoubleField.zero() The 0 of the field.

Methods in com.perisic.ring with parameters of type RingElt

RingElt	Matrix2x2Ring.a(RingElt m) Returns the first coefficient (element) of the matrix as an element of the base ring.
RingElt	UniversalRing.add(RingElt a, RingElt b) Addition.
abstract RingElt	Ring.add(RingElt a, RingElt b) The addition a + b of two ring elements a and b.
RingElt	RationalField.add(RingElt a, RingElt b) Returns a + b.
RingElt	QuotientField.add(RingElt a, RingElt b) Addition a + b.
RingElt	PolynomialRing.add(RingElt p, RingElt q) Returns the sum of the parameters.
RingElt	ModularRing.add(RingElt a, RingElt b) Addition.
RingElt	ModularIntegerRing.add(RingElt a, RingElt b) Returns a + b mod m.
RingElt	Matrix2x2Ring.add(RingElt m1, RingElt m2) Returns the sum of a 2*2 matrix, m1 + m2.
RingElt	IntegerRing.add(RingElt a, RingElt b) Returns the sum of the parameters.
RingElt	F2Field.add(RingElt a, RingElt b) The addition a + b mod 2.
RingElt	DoubleField.add(RingElt a, RingElt b) Addition.
RingElt	Matrix2x2Ring.b(RingElt m) Returns the second element of the matrix as an element of the base ring.
RingElt	Matrix2x2Ring.c(RingElt m) Returns the third element of the matrix as an element of the base ring.
RingElt	QuotientField.construct(RingElt numerator, RingElt denominator) Constructs numerator/denominator.
RingElt	Matrix2x2Ring.construct(RingElt a, RingElt b, RingElt c, RingElt d) constructs the elements of a 2*2 matrix, a, b, c, and d.
RingElt	PolynomialRing.contents(RingElt b) Returns the contents of b.
RingElt	Matrix2x2Ring.d(RingElt m) Returns the fourth element of the matrix as an element of the base ring.
int	PolynomialRing.degree(RingElt b) The degree of b, where b is considered as an univariate polynomial.
RingElt	QuotientField.denominator(RingElt b) Returns the denominator of b as an element of the base ring.
static java.math.BigInteger	RationalField.denominatorToBigInteger(RingElt b) Returns the denominator s if b = r/s.
RingElt	Matrix2x2Ring.det(RingElt m1) Returns the determinant of m.
RingElt	Ring.div(RingElt a, RingElt b) Computes a/b.
RingElt[]	PolynomialRing.divmod(RingElt p, RingElt q) Returns an array { p/q, p%q }.
RingElt	UniversalRing.ediv(RingElt a, RingElt b) Euclidian division.
RingElt	Ring.ediv(RingElt a, RingElt b) Returns a div b (euclidian division).
RingElt	PolynomialRing.ediv(RingElt p, RingElt q) Returns p/q (Euclidian division).
RingElt	IntegerRing.ediv(RingElt a, RingElt b) Euclidian division.
java.lang.String	Ring.eltToString(RingElt a) Returns the Ring element a as a String.
java.lang.String	ModularRing.eltToString(RingElt a) Returns a in the form "a" or "a mod f" depending on the value of hideMod.
java.lang.String	Matrix2x2Ring.eltToString(RingElt m) Returns the matrix m as a String.
boolean	Ring.equal(RingElt a, RingElt b) True if a == b.
boolean	UniversalRing.equalZero(RingElt b) true if b == 0.
abstract boolean	Ring.equalZero(RingElt a) Returns true if a == 0.
boolean	RationalField.equalZero(RingElt b) True if b == 0.
boolean	QuotientField.equalZero(RingElt b) True if b == 0.
boolean	PolynomialRing.equalZero(RingElt b) Returns true if b is equals to zero, false otherwise.
boolean	ModularRing.equalZero(RingElt b) true if b == 0, false otherwise.
boolean	ModularIntegerRing.equalZero(RingElt b) True if b == 0, false otherwise.
boolean	Matrix2x2Ring.equalZero(RingElt m1) Returns true if the matrix m1 == 0.
boolean	IntegerRing.equalZero(RingElt b) Returns true if b is equals to zero, false otherwise.
boolean	F2Field.equalZero(RingElt a) Returns true if a == 0.
boolean	DoubleField.equalZero(RingElt b) true if b == 0.
RingElt	Ring.evaluatePolynomial(RingElt p, RingElt b) Evaluates the Polynomial p at b.
RingElt	UniversalPolynomialRing.evaluatePolynomial(RingElt p, java.lang.String[] var, RingElt[] b) Evaluates the polynomial p at the variables var[i] with the values b[i].
RingElt	UniversalPolynomialRing.evaluatePolynomial(RingElt p, java.lang.String[] var, RingElt[] b) Evaluates the polynomial p at the variables var[i] with the values b[i].
RingElt	UniversalPolynomialRing.evaluatePolynomial(RingElt p, java.lang.String var, RingElt b) Evaluates the Polynomial p (which may be defined over more than one variable) at b for the variable var.
RingElt[]	PolynomialRing.extendedGcd(RingElt a, RingElt b) Extended greatest common divisor of the parameters.
abstract Ring	UniversalRing.findRing(RingElt a) A suitable ring able to map a.
Ring	UniversalPolynomialRing.findRing(RingElt a) The ring over the coefficient ring with the variables of a.getRing().
Ring	UniversalCyclotomicField.findRing(RingElt a) Returns the ring of the argument a if this a Cyclotomic field or Q.
abstract Ring	UniversalRing.findRing(RingElt a, RingElt b) A suitable ring able to map a and b.
Ring	UniversalPolynomialRing.findRing(RingElt a, RingElt b) The result is the coefficient ring over the variables of a.getRing() and the variables of b.getRing().
Ring	UniversalCyclotomicField.findRing(RingElt a, RingElt b) Returns cyaclotomic field which contains both a and b.
RingElt	UniversalRing.gcd(RingElt a, RingElt b) gcd.
RingElt	Ring.gcd(RingElt a, RingElt b) Returns gcd(a,b).
RingElt	PolynomialRing.gcd(RingElt p, RingElt q) Greatest common divisor of the parameters.
RingElt	PolynomialRing.getCoefficientAt(int i, RingElt b) Returns the coefficient for x^i of b (or null), where b is considered as an univariate polynomial over x.
RingElt	PolynomialRing.getTrueCoefficientAt(int i, RingElt b) Returns the coefficient for x^i of b, where b is considered as an univariate polynomial over x.
RingElt	ModularRing.getValue(RingElt b) Returns the value of b as an element of R.
RingElt	PolynomialRing.globalLeadingCoefficient(RingElt b) Determins recursively the global leading Coefficient of the polynomial over all variables.
RingElt	UniversalRing.inv(RingElt a) Multiplicative Inverse.
RingElt	Ring.inv(RingElt b) Returns b^-1.
RingElt	RationalField.inv(RingElt b) Returns the multiplicative inverse.
RingElt	QuotientField.inv(RingElt b) Returns b^-1.
RingElt	PolynomialRing.inv(RingElt b) Returns 1/b as an element of this Ring.
RingElt	ModularRing.inv(RingElt b) Returns the inverse b.
RingElt	ModularIntegerRing.inv(RingElt b) Returns b^-1 mod m.
RingElt	Matrix2x2Ring.inv(RingElt m1) Returns the inverse of a matrix m1.
RingElt	IntegerRing.inv(RingElt b) Returns b for b == 1 and b == -1.
RingElt	F2Field.inv(RingElt b) Returns b^-1.
RingElt	DoubleField.inv(RingElt a) Multiplicative Inverse.
static boolean	RationalField.isIntegral(RingElt b) true if denominator of b equals 1.
boolean	QuotientField.isIntegral(RingElt b) true if the denominator is one.
RingElt	PolynomialRing.leadingCoefficient(RingElt b) The leading coefficient of b, where b is considered as an univariate polynomial.
RingElt	UniversalRing.map(RingElt a) Maps a RingElt using the findRing() method with one parameter.
RingElt	UniversalCyclotomicField.map(RingElt r) The following Rings are mapped: Cyclotomic fields, where the variable is of the form z* where z ist the preifx of the variable and * is a number; Polynomial rings and Quotient fields over Polynomial rings where the variables are of the form z*; the usual suspects (Z, Q).
RingElt	Ring.map(RingElt a) Maps a into the Ring.
RingElt	RationalField.map(RingElt a) Maps Ring.Z elements and into this.
RingElt	QuotientField.map(RingElt a) If a is an element of another QuotientRing, numerator and denominator are mapped to B.
RingElt	PolynomialRing.map(RingElt a) Maps a RingElt of various other rings to this ring.
RingElt	ModularRing.map(RingElt a) If the ring of a is a quotient field we map the quotient of numerator and denominator.
RingElt	ModularIntegerRing.map(RingElt a) Performs the ususal map as in Ring.map(RingElt).
RingElt	Matrix2x2Ring.map(RingElt m) Maps a 2x2 matrix m into this.
RingElt	F2Field.map(RingElt b) If b is a modular integer ring, such that the modulus maps to 0, the value of b is mapped to F2.
RingElt	CyclotomicField.map(RingElt a) If the ring of the argument is of a dth cyclotomic field and d a divisor of n we embed via the mapping zd -> znn/d where zn denotes a fixed nth root of unity.
RingElt	UniversalRing.mod(RingElt a, RingElt b) Modular computation.
RingElt	Ring.mod(RingElt a, RingElt m) Returns a % m (euclidian division, a modulo m).
RingElt	PolynomialRing.mod(RingElt p, RingElt q) Returns p%q (remainder of Euclidian division).
RingElt	IntegerRing.mod(RingElt a, RingElt b) Remainder of Euclidian division.
RingElt	UniversalRing.mult(RingElt a, RingElt b) Multiplication.
abstract RingElt	Ring.mult(RingElt a, RingElt b) The mutiplicaton a * b of two ring elements a and b.
RingElt	RationalField.mult(RingElt a, RingElt b) Returns a * b.
RingElt	QuotientField.mult(RingElt a, RingElt b) Multiplication a * b.
RingElt	PolynomialRing.mult(RingElt p, RingElt q) Returns the product of the parameters.
RingElt	ModularRing.mult(RingElt a, RingElt b) Multiplication.
RingElt	ModularIntegerRing.mult(RingElt a, RingElt b) Returns a * b mod m.
RingElt	Matrix2x2Ring.mult(RingElt m1, RingElt m2) Return the product of two 2*2 matrices, m1 * m2.
RingElt	IntegerRing.mult(RingElt a, RingElt b) Returns the product of the parameters.
RingElt	F2Field.mult(RingElt a, RingElt b) The multiplicaton a * b mod 2.
RingElt	DoubleField.mult(RingElt a, RingElt b) Multiplication.
RingElt	UniversalRing.neg(RingElt b) The additive inverse of b.
abstract RingElt	Ring.neg(RingElt a) Returns the additive inverse -a of an ring element a.
RingElt	RationalField.neg(RingElt b) Returns -b.
RingElt	QuotientField.neg(RingElt b) Returns -b.
RingElt	PolynomialRing.neg(RingElt b) Returns -b as an element of this Ring.
RingElt	ModularRing.neg(RingElt b) Returns -b.
RingElt	ModularIntegerRing.neg(RingElt b) Returns -b mod m.
RingElt	Matrix2x2Ring.neg(RingElt m1) Returns the negation of a matrix, -m1.
RingElt	IntegerRing.neg(RingElt b) Returns -b as an element of this Ring.
RingElt	F2Field.neg(RingElt a) Returns -a mod 2.
RingElt	DoubleField.neg(RingElt b) The additive inverse of b.
RingElt	PolynomialRing.normalize(RingElt b) Returns a normal form for the polynomial b.
RingElt	QuotientField.numerator(RingElt b) Returns the numerator of b as an element of the base ring.
static java.math.BigInteger	RationalField.numeratorToBigInteger(RingElt b) Returns the numerator r if b = r/s.
RingElt	Ring.pow(RingElt b, java.math.BigInteger a) Returns b^a.
RingElt	Ring.pow(RingElt b, int a) Returns b^a.
RingElt	PolynomialRing.primitivePart(RingElt a) Returns b/contents(b).
RingElt	UniversalPolynomialRing.reduceVariables(RingElt p) Reduces the polynomial into a polynomial of the polynomial ring with the fewest variables.
RingElt	Ring.sub(RingElt a, RingElt b) Returns a - b.
RingElt	UniversalRing.tdiv(RingElt a, RingElt b) True division.
RingElt	Ring.tdiv(RingElt a, RingElt b) Computes a/b (true division).
RingElt	PolynomialRing.tdiv(RingElt p, RingElt q) Returns p/q (true division).
RingElt	ModularIntegerRing.tdiv(RingElt a, RingElt b) The same as div(a,b).
RingElt	IntegerRing.tdiv(RingElt a, RingElt b) True division.
static java.math.BigInteger	ModularIntegerRing.toBigInteger(RingElt b) Returns the BigInteger value of b.
static java.math.BigInteger	IntegerRing.toBigInteger(RingElt b) Returns the value of b as a BigInteger.
boolean	F2Field.toBoolean(RingElt a) Returns the boolean value of a.
static double	DoubleField.toDouble(RingElt b) returns the double value of b.
RingElt	Matrix2x2Ring.trace(RingElt m1) Returns the trace of m.

Constructors in com.perisic.ring with parameters of type RingElt

ModularRing(RingElt m)
Constructs m.getRing()/m * m.getRing().