java.lang.Object
- cc.redberry.rings.poly.univar.UnivariatePolynomialZp64

All Implemented Interfaces:

Stringifiable<UnivariatePolynomialZp64>, IPolynomial<UnivariatePolynomialZp64>, IUnivariatePolynomial<UnivariatePolynomialZp64>, Serializable, Comparable<UnivariatePolynomialZp64>
```
public final class UnivariatePolynomialZp64
extends Object
```
Univariate polynomial over Zp ring with modulus in the range of [2, 2^62) (the last value is specified by MachineArithmetic.MAX_SUPPORTED_MODULUS_BITS. Fast methods from IntegersZp64 are used to perform all arithmetic operations.

Since:

1.0

See Also:

Serialized Form

Field Summary

Fields
Modifier and Type Field Description

IntegersZp64 ring
The coefficient ring

Method Summary

All Methods Static Methods Instance Methods Concrete Methods Deprecated Methods
Modifier and Type	Method	Description
`lPoly`	`add(long val)`	Add constant to this.
`lPoly`	`add(lPoly oth)`	Adds `oth` to `this`.
`lPoly`	`addMonomial(long coefficient, int exponent)`	Adds `coefficient*x^exponent` to `this`
`lPoly`	`addMul(lPoly oth, long factor)`	Adds `oth * factor` to `this`
`MultivariatePolynomialZp64`	`asMultivariate()`	Convert to multivariate polynomial
`MultivariatePolynomialZp64`	`asMultivariate(Comparator<DegreeVector> ordering)`	Convert to multivariate polynomial
`UnivariatePolynomialZ64`	`asPolyZ(boolean copy)`	Returns Z[x] polynomial formed from the coefficients of this.
`UnivariatePolynomialZ64`	`asPolyZSymmetric()`	Returns Z[x] polynomial formed from the coefficients of this represented in symmetric modular form (`-modulus/2 <= cfx <= modulus/2`).
`long`	`cc()`	Returns the constant coefficient of this poly
`lPoly`	`ccAsPoly()`	Returns the constant coefficient as a constant poly
`UnivariatePolynomialZp64`	`clone()`	Deep copy of this
`BigInteger`	`coefficientRingCardinality()`	Returns cardinality of the coefficient ring of this poly
`BigInteger`	`coefficientRingCharacteristic()`	Returns characteristic of the coefficient ring of this poly
`BigInteger`	`coefficientRingPerfectPowerBase()`	Returns `base` so that `coefficientRingCardinality() == base^exponent` or null if cardinality is not finite
`BigInteger`	`coefficientRingPerfectPowerExponent()`	Returns `exponent` so that `coefficientRingCardinality() == base^exponent` or null if cardinality is not finite
`String`	`coefficientRingToString(IStringifier<UnivariatePolynomialZp64> stringifier)`	String representation of the coefficient ring of this
`int`	`compareTo(lPoly o)`
`MultivariatePolynomialZp64`	`composition(AMultivariatePolynomial value)`	Calculates the composition of this(oth)
`lPoly`	`composition(lPoly value)`	Calculates the composition of this(oth) (new instance, so the content of this is not changed))
`static UnivariatePolynomialZp64`	`constant(long modulus, long value)`	Creates constant polynomial with specified value
`static UnivariatePolynomialZp64`	`constant(IntegersZp64 ring, long value)`	Creates constant polynomial with specified value
`long`	`content()`	Returns the content of this poly (gcd of its coefficients)
`lPoly`	`contentAsPoly()`	Returns the content of this (gcd of coefficients) as a constant poly
`static UnivariatePolynomialZp64`	`create(long modulus, long[] data)`	Creates poly with specified coefficients represented as signed integers reducing them modulo `modulus`
`static UnivariatePolynomialZp64`	`create(IntegersZp64 ring, long[] data)`	Creates poly with specified coefficients represented as signed integers reducing them modulo `modulus`
`UnivariatePolynomialZp64[]`	`createArray(int length)`	overcome Java generics...
`UnivariatePolynomialZp64[]`	`createArray(UnivariatePolynomialZp64 a, UnivariatePolynomialZp64 b)`	overcome Java generics...
`UnivariatePolynomialZp64[][]`	`createArray2d(int length)`	overcome Java generics...
`UnivariatePolynomialZp64[][]`	`createArray2d(int length1, int length2)`	overcome Java generics...
`lPoly`	`createConstant(long val)`	Creates constant polynomial with specified value (with the same coefficient ring)
`UnivariatePolynomialZp64`	`createFromArray(long[] newData)`	Creates new poly with the specified coefficients (over the same ring)
`lPoly`	`createLinear(long cc, long lc)`	Creates linear polynomial of form `cc + x * lc` (with the same coefficient ring)
`lPoly`	`createMonomial(int degree)`	Creates new monomial `x^degree` (with the same coefficient ring)
`UnivariatePolynomialZp64`	`createMonomial(long coefficient, int newDegree)`	Creates monomial `coefficient * x^degree` (with the same coefficient ring)
`lPoly`	`createOne()`	Returns the new instance of unit polynomial (with the same coefficient ring)
`static UnivariatePolynomialZp64`	`createUnsafe(long modulus, long[] data)`	data is not reduced modulo modulus
`static UnivariatePolynomialZp64`	`createUnsafe(IntegersZp64 ring, long[] data)`	data is not reduced modulo modulus
`lPoly`	`createZero()`	Returns the new instance of zero polynomial (with the same coefficient ring)
`lPoly`	`decrement()`	Subtracts 1 from this
`int`	`degree()`	Returns the degree of this polynomial
`UnivariatePolynomialZp64`	`derivative()`	Returns the formal derivative of this poly (new instance, so the content of this is not changed)
`UnivariatePolynomialZp64`	`divide(long val)`	Divide by specified value
`UnivariatePolynomialZp64`	`divideByLC(UnivariatePolynomialZp64 other)`	Divides this polynomial by the leading coefficient of `other` or returns `null` (causing loss of internal data) if some of the elements can't be exactly divided by the `other.lc()`.
`void`	`ensureInternalCapacity(int desiredCapacity)`	ensures that internal storage has enough size to store `desiredCapacity` elements
`boolean`	`equals(Object obj)`
`long`	`evaluate(long point)`	Evaluates this poly at a given `point` (via Horner method).
`int`	`firstNonZeroCoefficientPosition()`	Returns position of the first non-zero coefficient, that is common monomial exponent (e.g.
`long`	`get(int i)`	Returns the i-th coefficient of this poly (coefficient before x^i)
`lPoly`	`getAsPoly(int i)`	Returns i-th coefficient of this as a constant polynomial
`long[]`	`getDataReferenceUnsafe()`	internal API >>> direct unsafe access to internal storage
`UnivariatePolynomialZp64`	`getRange(int from, int to)`	Creates polynomial formed from the coefficients of this starting from `from` (inclusive) to `to` (exclusive)
`int`	`hashCode()`
`lPoly`	`increment()`	Adds 1 to this
`boolean`	`isConstant()`	Returns `true` if this polynomial has only constant term
`boolean`	`isMonic()`	Returns `true` if this polynomial is monic
`boolean`	`isMonomial()`	Returns `true` if this polynomial has only one monomial term
`boolean`	`isOne()`	Returns `true` if this is one
`boolean`	`isOverField()`	Returns whether the coefficient ring of this polynomial is a field
`boolean`	`isOverFiniteField()`	Returns whether the coefficient ring of this polynomial is a finite field
`boolean`	`isOverPerfectPower()`	Returns whether the `coefficientRingCardinality()` is a perfect power
`boolean`	`isOverZ()`	Returns whether the coefficient ring of this polynomial is Z
`boolean`	`isUnitCC()`	Returns true if constant term is equal to one
`boolean`	`isZero()`	Returns `true` if this is zero
`boolean`	`isZeroAt(int i)`	Returns whether i-th coefficient of this is zero
`long`	`lc()`	Returns the leading coefficient of this poly
`lPoly`	`lcAsPoly()`	Returns the leading coefficient as a constant poly
`static UnivariatePolynomialZp64`	`linear(long cc, long lc, long modulus)`	Creates linear polynomial of form `cc + x * lc`
`<T> UnivariatePolynomial<T>`	`mapCoefficients(Ring<T> ring, LongFunction<T> mapper)`	Applies transformation function to this and returns the result.
`long`	`maxAbsCoefficient()`	Returns max coefficient (by absolute value) of this poly
`long`	`modulus()`	Returns the modulus
`UnivariatePolynomialZp64`	`monic()`	Sets `this` to its monic part (that is `this` divided by its leading coefficient), or returns `null` (causing loss of internal data) if some of the elements can't be exactly divided by the `lc()`.
`UnivariatePolynomialZp64`	`monic(long factor)`	Sets `this` to its monic part multiplied by the `factor` (that is `monic(modulus).multiply(factor)` ).
`lPoly`	`monicWithLC(lPoly other)`	Sets `this` to its monic part multiplied by the leading coefficient of `other`;
`static UnivariatePolynomialZp64`	`monomial(long modulus, long coefficient, int exponent)`	Creates monomial `coefficient * x^exponent`
`lPoly`	`multiply(long factor)`	Multiplies this by `factor`
`UnivariatePolynomialZp64`	`multiply(UnivariatePolynomialZp64 oth)`	Multiplies this by `oth`
`UnivariatePolynomialZp64`	`multiplyByBigInteger(BigInteger factor)`	Multiplies this by `factor`
`lPoly`	`multiplyByLC(lPoly other)`	Multiply this by the leading coefficient of `other`
`lPoly`	`negate()`	Negates this and returns
`double`	`norm1()`	Returns L1 norm of this polynomial, i.e.
`double`	`norm2()`	Returns L2 norm of this polynomial, i.e.
`double`	`normMax()`	Returns max coefficient (by absolute value) of this poly
`static UnivariatePolynomialZp64`	`one(long modulus)`	Creates unit polynomial
`static UnivariatePolynomialZp64`	`one(IntegersZp64 ring)`	Creates unit polynomial
`static UnivariatePolynomialZp64`	`parse(String string, long modulus)`	Deprecated. use `parse(String, IntegersZp64, String)`
`static UnivariatePolynomialZp64`	`parse(String string, IntegersZp64 modulus)`	Deprecated. use `parse(String, IntegersZp64, String)`
`static UnivariatePolynomialZp64`	`parse(String string, IntegersZp64 modulus, String variable)`	Parse string into polynomial
`UnivariatePolynomialZp64`	`parsePoly(String string)`
`lPoly`	`primitivePart()`	Reduces poly to its primitive part (primitive part will always have positive l.c.)
`lPoly`	`primitivePartSameSign()`	Reduces poly to its primitive part, so that primitive part will have the same signum as the initial poly
`lPoly`	`reverse()`	Reverses the coefficients of this
`boolean`	`sameCoefficientRingWith(UnivariatePolynomialZp64 oth)`	Returns whether `oth` and `this` have the same coefficient ring
`lPoly`	`set(int i, long el)`	Sets i-th element of this poly with the specified value
`lPoly`	`set(lPoly oth)`	Sets the content of this to `oth`
`lPoly`	`setAndDestroy(lPoly oth)`	Sets the content of this with `oth` and destroys oth
`UnivariatePolynomialZp64`	`setCoefficientRingFrom(UnivariatePolynomialZp64 univariatePolynomialZp64)`	Set the coefficient ring from specified poly
`lPoly`	`setFrom(int indexInThis, lPoly poly, int indexInPoly)`	Sets i-th element of this by j-th element of other poly
`lPoly`	`setLC(long lc)`	Sets hte leading coefficient of this poly with specified value
`UnivariatePolynomialZp64`	`setModulus(long newModulus)`	Creates new Zp[x] polynomial by coping the coefficients of this and reducing them modulo new modulus.
`UnivariatePolynomialZp64`	`setModulus(IntegersZp64 newDomain)`	Creates new Zp[x] polynomial by coping the coefficients of this and reducing them modulo new modulus.
`UnivariatePolynomialZp64`	`setModulusUnsafe(long newModulus)`	does not copy the data and does not reduce the data with new modulus
`UnivariatePolynomialZp64`	`setModulusUnsafe(IntegersZp64 newModulus)`	does not copy the data and does not reduce the data with new modulus
`lPoly`	`setZero(int i)`	Fills i-th element with zero
`lPoly`	`shift(long value)`	Shifts variable x -> x + value and returns the result (new instance)
`lPoly`	`shiftLeft(int offset)`	Returns the quotient `this / x^offset`, it is polynomial with coefficient list formed by shifting coefficients of `this` to the left by `offset`.
`lPoly`	`shiftRight(int offset)`	Multiplies `this` by the `x^offset`.
`int`	`signumOfLC()`	Gives signum of the leading coefficient
`UnivariatePolynomialZp64`	`square()`	Squares `this`
`LongStream`	`stream()`	Returns a sequential `Stream` with coefficients of this as its source.
`Stream<lPoly>`	`streamAsPolys()`	Stream polynomial coefficients as constant polynomials
`lPoly`	`subtract(long val)`	Subtract constant from this.
`lPoly`	`subtract(lPoly oth)`	Subtracts `oth` from `this`.
`lPoly`	`subtract(lPoly oth, long factor, int exponent)`	Subtracts `factor * x^exponent * oth` from `this`
`UnivariatePolynomial<BigInteger>`	`toBigPoly()`	Converts this to a polynomial over BigIntegers
`String`	`toString()`
`String`	`toString(IStringifier<lPoly> stringifier)`	convert this to string with the use of stringifier
`String`	`toStringForCopy()`
`lPoly`	`toZero()`	Sets this to zero
`lPoly`	`truncate(int newDegree)`	Returns the remainder `this rem x^(newDegree + 1)`, it is polynomial formed by coefficients of this from zero to `newDegree` (both inclusive)
`static UnivariatePolynomialZp64`	`zero(long modulus)`	Creates zero polynomial
`static UnivariatePolynomialZp64`	`zero(IntegersZp64 ring)`	Creates zero polynomial

Methods inherited from class java.lang.Object
finalize, getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface cc.redberry.rings.poly.IPolynomial
add, assertSameCoefficientRingWith, canonical, coefficientRingToString, copy, createArray, createArray, monicExact, multiply, multiply, setCoefficientRingFromOptional, subtract, toPositiveLC, toString

Methods inherited from interface cc.redberry.rings.poly.univar.IUnivariatePolynomial
composition, exponents, isLinearExactly, isLinearOrConstant, isZeroCC, mapCoefficientsAsPolys, nNonZeroTerms, size

- Field Detail
  - ring
```
public final IntegersZp64 ring
```
    The coefficient ring
- Method Detail
  - parse
```
@Deprecated
public static UnivariatePolynomialZp64 parse(String string,
                                             long modulus)
```
    Deprecated.
    use parse(String, IntegersZp64, String)
    
    Parse string into polynomial
  - parse
```
@Deprecated
public static UnivariatePolynomialZp64 parse(String string,
                                             IntegersZp64 modulus)
```
    Deprecated.
    use parse(String, IntegersZp64, String)
    
    Parse string into polynomial
  - parse
```
public static UnivariatePolynomialZp64 parse(String string,
                                             IntegersZp64 modulus,
                                             String variable)
```
    Parse string into polynomial
  - create
```
public static UnivariatePolynomialZp64 create(long modulus,
                                              long[] data)
```
    Creates poly with specified coefficients represented as signed integers reducing them modulo modulus
    
    Parameters:
    
    modulus - the modulus
    
    data - coefficients
    
    Returns:
    
    the polynomial
  - create
```
public static UnivariatePolynomialZp64 create(IntegersZp64 ring,
                                              long[] data)
```
    Creates poly with specified coefficients represented as signed integers reducing them modulo modulus
    
    Parameters:
    
    ring - the ring
    
    data - coefficients
    
    Returns:
    
    the polynomial
  - linear
```
public static UnivariatePolynomialZp64 linear(long cc,
                                              long lc,
                                              long modulus)
```
    Creates linear polynomial of form cc + x * lc
    
    Parameters:
    
    cc - the constant coefficient
    
    lc - the leading coefficient
    
    modulus - the modulus
    
    Returns:
    
    cc + x * lc
  - createUnsafe
```
public static UnivariatePolynomialZp64 createUnsafe(long modulus,
                                                    long[] data)
```
    data is not reduced modulo modulus
  - createUnsafe
```
public static UnivariatePolynomialZp64 createUnsafe(IntegersZp64 ring,
                                                    long[] data)
```
    data is not reduced modulo modulus
  - monomial
```
public static UnivariatePolynomialZp64 monomial(long modulus,
                                                long coefficient,
                                                int exponent)
```
    Creates monomial coefficient * x^exponent
    
    Parameters:
    
    modulus - the modulus
    
    coefficient - monomial coefficient
    
    exponent - monomial exponent
    
    Returns:
    
    coefficient * x^exponent
  - constant
```
public static UnivariatePolynomialZp64 constant(long modulus,
                                                long value)
```
    Creates constant polynomial with specified value
    
    Parameters:
    
    modulus - the modulus
    
    value - the value
    
    Returns:
    
    constant polynomial
  - constant
```
public static UnivariatePolynomialZp64 constant(IntegersZp64 ring,
                                                long value)
```
    Creates constant polynomial with specified value
    
    Parameters:
    
    ring - the ring
    
    value - the value
    
    Returns:
    
    constant polynomial
  - zero
```
public static UnivariatePolynomialZp64 zero(long modulus)
```
    Creates zero polynomial
    
    Parameters:
    
    modulus - the modulus
    
    Returns:
    
    zero polynomial
  - zero
```
public static UnivariatePolynomialZp64 zero(IntegersZp64 ring)
```
    Creates zero polynomial
    
    Parameters:
    
    ring - the ring
    
    Returns:
    
    zero polynomial
  - one
```
public static UnivariatePolynomialZp64 one(long modulus)
```
    Creates unit polynomial
    
    Parameters:
    
    modulus - the modulus
    
    Returns:
    
    unit polynomial
  - one
```
public static UnivariatePolynomialZp64 one(IntegersZp64 ring)
```
    Creates unit polynomial
    
    Parameters:
    
    ring - the ring
    
    Returns:
    
    unit polynomial
  - setCoefficientRingFrom
```
public UnivariatePolynomialZp64 setCoefficientRingFrom(UnivariatePolynomialZp64 univariatePolynomialZp64)
```
    Description copied from interface: IPolynomial
    
    Set the coefficient ring from specified poly
    
    Parameters:
    
    univariatePolynomialZp64 - the polynomial
    
    Returns:
    
    a copy of this with the coefficient ring taken from poly
  - modulus
```
public long modulus()
```
    Returns the modulus
  - setModulusUnsafe
```
public UnivariatePolynomialZp64 setModulusUnsafe(long newModulus)
```
    does not copy the data and does not reduce the data with new modulus
  - setModulusUnsafe
```
public UnivariatePolynomialZp64 setModulusUnsafe(IntegersZp64 newModulus)
```
    does not copy the data and does not reduce the data with new modulus
  - setModulus
```
public UnivariatePolynomialZp64 setModulus(long newModulus)
```
    Creates new Zp[x] polynomial by coping the coefficients of this and reducing them modulo new modulus.
    
    Parameters:
    
    newModulus - the new modulus
    
    Returns:
    
    the copy of this reduced modulo new modulus
  - setModulus
```
public UnivariatePolynomialZp64 setModulus(IntegersZp64 newDomain)
```
    Creates new Zp[x] polynomial by coping the coefficients of this and reducing them modulo new modulus.
    
    Parameters:
    
    newDomain - the new domain
    
    Returns:
    
    the copy of this reduced modulo new modulus
  - asPolyZSymmetric
```
public UnivariatePolynomialZ64 asPolyZSymmetric()
```
    Returns Z[x] polynomial formed from the coefficients of this represented in symmetric modular form (-modulus/2 <= cfx <= modulus/2).
    
    Returns:
    
    Z[x] version of this with coefficients represented in symmetric modular form (-modulus/2 <= cfx <= modulus/2).
  - asPolyZ
```
public UnivariatePolynomialZ64 asPolyZ(boolean copy)
```
    Returns Z[x] polynomial formed from the coefficients of this.
    
    Parameters:
    
    copy - whether to copy the internal data
    
    Returns:
    
    Z[x] version of this
  - createArray
```
public UnivariatePolynomialZp64[] createArray(int length)
```
    Description copied from interface: IPolynomial
    
    overcome Java generics...
  - createArray
```
public UnivariatePolynomialZp64[] createArray(UnivariatePolynomialZp64 a,
                                              UnivariatePolynomialZp64 b)
```
    Description copied from interface: IPolynomial
    
    overcome Java generics...
  - createArray2d
```
public UnivariatePolynomialZp64[][] createArray2d(int length)
```
    Description copied from interface: IPolynomial
    
    overcome Java generics...
  - createArray2d
```
public UnivariatePolynomialZp64[][] createArray2d(int length1,
                                                  int length2)
```
    Description copied from interface: IPolynomial
    
    overcome Java generics...
  - getRange
```
public UnivariatePolynomialZp64 getRange(int from,
                                         int to)
```
    Description copied from interface: IUnivariatePolynomial
    
    Creates polynomial formed from the coefficients of this starting from from (inclusive) to to (exclusive)
    
    Parameters:
    
    from - the initial index of the range to be copied, inclusive
    
    to - the final index of the range to be copied, exclusive.
    
    Returns:
    
    polynomial formed from the range of coefficients of this
  - sameCoefficientRingWith
```
public boolean sameCoefficientRingWith(UnivariatePolynomialZp64 oth)
```
    Description copied from interface: IPolynomial
    
    Returns whether oth and this have the same coefficient ring
    
    Parameters:
    
    oth - other polynomial
    
    Returns:
    
    whether this and oth are over the same coefficient ring
  - createFromArray
```
public UnivariatePolynomialZp64 createFromArray(long[] newData)
```
    Creates new poly with the specified coefficients (over the same ring)
    
    Parameters:
    
    newData - the data
    
    Returns:
    
    polynomial
  - createMonomial
```
public UnivariatePolynomialZp64 createMonomial(long coefficient,
                                               int newDegree)
```
    Creates monomial coefficient * x^degree (with the same coefficient ring)
    
    Parameters:
    
    coefficient - monomial coefficient
    
    newDegree - monomial degree
    
    Returns:
    
    coefficient * x^degree
  - isOverField
```
public boolean isOverField()
```
    Description copied from interface: IPolynomial
    
    Returns whether the coefficient ring of this polynomial is a field
    
    Returns:
    
    whether the coefficient ring of this polynomial is a field
  - isOverFiniteField
```
public boolean isOverFiniteField()
```
    Description copied from interface: IPolynomial
    
    Returns whether the coefficient ring of this polynomial is a finite field
    
    Returns:
    
    whether the coefficient ring of this polynomial is a finite field
  - isOverZ
```
public boolean isOverZ()
```
    Description copied from interface: IPolynomial
    
    Returns whether the coefficient ring of this polynomial is Z
    
    Returns:
    
    whether the coefficient ring of this polynomial is Z
  - coefficientRingCardinality
```
public BigInteger coefficientRingCardinality()
```
    Description copied from interface: IPolynomial
    
    Returns cardinality of the coefficient ring of this poly
    
    Returns:
    
    cardinality of the coefficient ring
  - coefficientRingCharacteristic
```
public BigInteger coefficientRingCharacteristic()
```
    Description copied from interface: IPolynomial
    
    Returns characteristic of the coefficient ring of this poly
    
    Returns:
    
    characteristic of the coefficient ring
  - isOverPerfectPower
```
public boolean isOverPerfectPower()
```
    Description copied from interface: IPolynomial
    
    Returns whether the coefficientRingCardinality() is a perfect power
    
    Returns:
    
    whether the coefficientRingCardinality() is a perfect power
  - coefficientRingPerfectPowerBase
```
public BigInteger coefficientRingPerfectPowerBase()
```
    Description copied from interface: IPolynomial
    
    Returns base so that coefficientRingCardinality() == base^exponent or null if cardinality is not finite
    
    Returns:
    
    base so that coefficientRingCardinality() == base^exponent or null if cardinality is not finite
  - coefficientRingPerfectPowerExponent
```
public BigInteger coefficientRingPerfectPowerExponent()
```
    Description copied from interface: IPolynomial
    
    Returns exponent so that coefficientRingCardinality() == base^exponent or null if cardinality is not finite
    
    Returns:
    
    exponent so that coefficientRingCardinality() == base^exponent or null if cardinality is not finite
  - content
```
public long content()
```
    Returns the content of this poly (gcd of its coefficients)
    
    Returns:
    
    polynomial content
  - monic
```
public UnivariatePolynomialZp64 monic()
```
    Description copied from interface: IPolynomial
    
    Sets this to its monic part (that is this divided by its leading coefficient), or returns null (causing loss of internal data) if some of the elements can't be exactly divided by the lc(). NOTE: if null is returned, the content of this is destroyed.
    
    Returns:
    
    monic this or null
  - monic
```
public UnivariatePolynomialZp64 monic(long factor)
```
    Sets this to its monic part multiplied by the factor (that is monic(modulus).multiply(factor) ).
    
    Parameters:
    
    factor - the factor
    
    Returns:
    
    this
  - divideByLC
```
public UnivariatePolynomialZp64 divideByLC(UnivariatePolynomialZp64 other)
```
    Description copied from interface: IPolynomial
    
    Divides this polynomial by the leading coefficient of other or returns null (causing loss of internal data) if some of the elements can't be exactly divided by the other.lc(). NOTE: if null is returned, the content of this is destroyed.
    
    Parameters:
    
    other - the polynomial
    
    Returns:
    
    this divided by the other.lc() or null if exact division is not possible
  - divide
```
public UnivariatePolynomialZp64 divide(long val)
```
    Divide by specified value
    
    Parameters:
    
    val - the value
    
    Returns:
    
    this / val
  - multiplyByBigInteger
```
public UnivariatePolynomialZp64 multiplyByBigInteger(BigInteger factor)
```
    Description copied from interface: IPolynomial
    
    Multiplies this by factor
    
    Parameters:
    
    factor - the factor
    
    Returns:
    
    this * factor
  - multiply
```
public UnivariatePolynomialZp64 multiply(UnivariatePolynomialZp64 oth)
```
    Description copied from interface: IPolynomial
    
    Multiplies this by oth
    
    Parameters:
    
    oth - the polynomial
    
    Returns:
    
    this * oth
  - square
```
public UnivariatePolynomialZp64 square()
```
    Description copied from interface: IPolynomial
    
    Squares this
    
    Returns:
    
    this * this
  - derivative
```
public UnivariatePolynomialZp64 derivative()
```
    Description copied from interface: IUnivariatePolynomial
    
    Returns the formal derivative of this poly (new instance, so the content of this is not changed)
    
    Returns:
    
    the formal derivative
  - toBigPoly
```
public UnivariatePolynomial<BigInteger> toBigPoly()
```
    Converts this to a polynomial over BigIntegers. The ring of the result will be exactly those returned by this.ring.asGenericRing()
    
    Returns:
    
    polynomial over BigIntegers
  - clone
```
public UnivariatePolynomialZp64 clone()
```
    Description copied from interface: IPolynomial
    
    Deep copy of this
    
    Specified by:
    
    clone in interface IPolynomial<UnivariatePolynomialZp64>
    
    Specified by:
    
    clone in interface IUnivariatePolynomial<UnivariatePolynomialZp64>
    
    Returns:
    
    deep copy of this
  - parsePoly
```
public UnivariatePolynomialZp64 parsePoly(String string)
```
  - coefficientRingToString
```
public String coefficientRingToString(IStringifier<UnivariatePolynomialZp64> stringifier)
```
    Description copied from interface: IPolynomial
    
    String representation of the coefficient ring of this
  - composition
```
public MultivariatePolynomialZp64 composition(AMultivariatePolynomial value)
```
    Description copied from interface: IUnivariatePolynomial
    
    Calculates the composition of this(oth)
    
    Parameters:
    
    value - polynomial
    
    Returns:
    
    composition this(oth)
  - asMultivariate
```
public MultivariatePolynomialZp64 asMultivariate()
```
    Description copied from interface: IUnivariatePolynomial
    
    Convert to multivariate polynomial
  - asMultivariate
```
public MultivariatePolynomialZp64 asMultivariate(Comparator<DegreeVector> ordering)
```
    Description copied from interface: IUnivariatePolynomial
    
    Convert to multivariate polynomial
  - degree
```
public final int degree()
```
    Description copied from interface: IPolynomial
    
    Returns the degree of this polynomial
    
    Specified by:
    
    degree in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    the degree
  - get
```
public final long get(int i)
```
    Returns the i-th coefficient of this poly (coefficient before x^i)
  - set
```
public final lPoly set(int i,
                       long el)
```
    Sets i-th element of this poly with the specified value
  - setLC
```
public final lPoly setLC(long lc)
```
    Sets hte leading coefficient of this poly with specified value
  - firstNonZeroCoefficientPosition
```
public final int firstNonZeroCoefficientPosition()
```
    Description copied from interface: IUnivariatePolynomial
    
    Returns position of the first non-zero coefficient, that is common monomial exponent (e.g. 2 for x^2 + x^3 + ...). In the case of zero polynomial, -1 returned
    
    Specified by:
    
    firstNonZeroCoefficientPosition in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    position of the first non-zero coefficient or -1 if this is zero
  - lc
```
public final long lc()
```
    Returns the leading coefficient of this poly
    
    Returns:
    
    leading coefficient
  - lcAsPoly
```
public final lPoly lcAsPoly()
```
    Description copied from interface: IPolynomial
    
    Returns the leading coefficient as a constant poly
    
    Specified by:
    
    lcAsPoly in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
  - ccAsPoly
```
public final lPoly ccAsPoly()
```
    Description copied from interface: IPolynomial
    
    Returns the constant coefficient as a constant poly
    
    Specified by:
    
    ccAsPoly in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
  - getAsPoly
```
public lPoly getAsPoly(int i)
```
    Description copied from interface: IUnivariatePolynomial
    
    Returns i-th coefficient of this as a constant polynomial
    
    Specified by:
    
    getAsPoly in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    i - index in this
    
    Returns:
    
    i-th coefficient of this as a constant polynomial
  - cc
```
public final long cc()
```
    Returns the constant coefficient of this poly
    
    Returns:
    
    constant coefficient
  - ensureInternalCapacity
```
public final void ensureInternalCapacity(int desiredCapacity)
```
    Description copied from interface: IUnivariatePolynomial
    
    ensures that internal storage has enough size to store desiredCapacity elements
    
    Specified by:
    
    ensureInternalCapacity in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
  - createMonomial
```
public final lPoly createMonomial(int degree)
```
    Description copied from interface: IUnivariatePolynomial
    
    Creates new monomial x^degree (with the same coefficient ring)
    
    Specified by:
    
    createMonomial in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    degree - monomial degree
    
    Returns:
    
    new monomial coefficient * x^degree
  - createLinear
```
public final lPoly createLinear(long cc,
                                long lc)
```
    Creates linear polynomial of form cc + x * lc (with the same coefficient ring)
    
    Parameters:
    
    cc - the constant coefficient
    
    lc - the leading coefficient
    
    Returns:
    
    cc + x * lc
  - createConstant
```
public final lPoly createConstant(long val)
```
    Creates constant polynomial with specified value (with the same coefficient ring)
    
    Specified by:
    
    createConstant in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    val - the value
    
    Returns:
    
    constant polynomial with specified value
  - createZero
```
public final lPoly createZero()
```
    Description copied from interface: IPolynomial
    
    Returns the new instance of zero polynomial (with the same coefficient ring)
    
    Specified by:
    
    createZero in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    new instance of 0
  - createOne
```
public final lPoly createOne()
```
    Description copied from interface: IPolynomial
    
    Returns the new instance of unit polynomial (with the same coefficient ring)
    
    Specified by:
    
    createOne in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    new instance of 1
  - isZeroAt
```
public final boolean isZeroAt(int i)
```
    Description copied from interface: IUnivariatePolynomial
    
    Returns whether i-th coefficient of this is zero
    
    Specified by:
    
    isZeroAt in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    i - the position
    
    Returns:
    
    whether i-th coefficient of this is zero
  - setZero
```
public final lPoly setZero(int i)
```
    Description copied from interface: IUnivariatePolynomial
    
    Fills i-th element with zero
    
    Specified by:
    
    setZero in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    i - position
    
    Returns:
    
    self
  - setFrom
```
public final lPoly setFrom(int indexInThis,
                           lPoly poly,
                           int indexInPoly)
```
    Description copied from interface: IUnivariatePolynomial
    
    Sets i-th element of this by j-th element of other poly
    
    Specified by:
    
    setFrom in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    indexInThis - index in self
    
    poly - other polynomial
    
    indexInPoly - index in other polynomial
    
    Returns:
    
    self
  - isZero
```
public final boolean isZero()
```
    Description copied from interface: IPolynomial
    
    Returns true if this is zero
    
    Specified by:
    
    isZero in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    whether this is zero
  - isOne
```
public final boolean isOne()
```
    Description copied from interface: IPolynomial
    
    Returns true if this is one
    
    Specified by:
    
    isOne in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    whether this is one
  - isMonic
```
public final boolean isMonic()
```
    Description copied from interface: IPolynomial
    
    Returns true if this polynomial is monic
    
    Specified by:
    
    isMonic in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    whether this is monic
  - isUnitCC
```
public final boolean isUnitCC()
```
    Description copied from interface: IPolynomial
    
    Returns true if constant term is equal to one
    
    Specified by:
    
    isUnitCC in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    whether constant term is 1
  - isConstant
```
public final boolean isConstant()
```
    Description copied from interface: IPolynomial
    
    Returns true if this polynomial has only constant term
    
    Specified by:
    
    isConstant in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    whether this is constant
  - isMonomial
```
public final boolean isMonomial()
```
    Description copied from interface: IPolynomial
    
    Returns true if this polynomial has only one monomial term
    
    Specified by:
    
    isMonomial in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    whether this has only one monomial term
  - signumOfLC
```
public final int signumOfLC()
```
    Description copied from interface: IPolynomial
    
    Gives signum of the leading coefficient
    
    Specified by:
    
    signumOfLC in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    signum of the leading coefficient
  - norm1
```
public final double norm1()
```
    Returns L1 norm of this polynomial, i.e. sum of abs coefficients
    
    Returns:
    
    L1 norm of this
  - norm2
```
public final double norm2()
```
    Returns L2 norm of this polynomial, i.e. a square root of a sum of coefficient squares.
    
    Returns:
    
    L2 norm of this
  - normMax
```
public final double normMax()
```
    Returns max coefficient (by absolute value) of this poly
    
    Returns:
    
    max coefficient (by absolute value)
  - maxAbsCoefficient
```
public final long maxAbsCoefficient()
```
    Returns max coefficient (by absolute value) of this poly
    
    Returns:
    
    max coefficient (by absolute value)
  - toZero
```
public final lPoly toZero()
```
    Description copied from interface: IPolynomial
    
    Sets this to zero
    
    Specified by:
    
    toZero in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    this := zero
  - set
```
public final lPoly set(lPoly oth)
```
    Description copied from interface: IPolynomial
    
    Sets the content of this to oth
    
    Specified by:
    
    set in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    oth - the polynomial
    
    Returns:
    
    this := oth
  - setAndDestroy
```
public final lPoly setAndDestroy(lPoly oth)
```
    Description copied from interface: IUnivariatePolynomial
    
    Sets the content of this with oth and destroys oth
    
    Specified by:
    
    setAndDestroy in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    oth - the polynomial (will be destroyed)
    
    Returns:
    
    this := oth
  - shiftLeft
```
public final lPoly shiftLeft(int offset)
```
    Description copied from interface: IUnivariatePolynomial
    
    Returns the quotient this / x^offset, it is polynomial with coefficient list formed by shifting coefficients of this to the left by offset.
    
    Specified by:
    
    shiftLeft in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    offset - shift amount
    
    Returns:
    
    the quotient this / x^offset
  - shiftRight
```
public final lPoly shiftRight(int offset)
```
    Description copied from interface: IUnivariatePolynomial
    
    Multiplies this by the x^offset.
    
    Specified by:
    
    shiftRight in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    offset - monomial exponent
    
    Returns:
    
    this * x^offset
  - truncate
```
public final lPoly truncate(int newDegree)
```
    Description copied from interface: IUnivariatePolynomial
    
    Returns the remainder this rem x^(newDegree + 1), it is polynomial formed by coefficients of this from zero to newDegree (both inclusive)
    
    Specified by:
    
    truncate in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    newDegree - new degree
    
    Returns:
    
    remainder this rem x^(newDegree + 1)
  - reverse
```
public final lPoly reverse()
```
    Description copied from interface: IUnivariatePolynomial
    
    Reverses the coefficients of this
    
    Specified by:
    
    reverse in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    reversed polynomial
  - contentAsPoly
```
public final lPoly contentAsPoly()
```
    Description copied from interface: IPolynomial
    
    Returns the content of this (gcd of coefficients) as a constant poly
    
    Specified by:
    
    contentAsPoly in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
  - primitivePart
```
public final lPoly primitivePart()
```
    Description copied from interface: IPolynomial
    
    Reduces poly to its primitive part (primitive part will always have positive l.c.)
    
    Specified by:
    
    primitivePart in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    primitive part (poly will be modified)
  - primitivePartSameSign
```
public final lPoly primitivePartSameSign()
```
    Description copied from interface: IPolynomial
    
    Reduces poly to its primitive part, so that primitive part will have the same signum as the initial poly
    
    Specified by:
    
    primitivePartSameSign in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    primitive part (poly will be modified)
  - evaluate
```
public final long evaluate(long point)
```
    Evaluates this poly at a given point (via Horner method).
    
    Parameters:
    
    point - point
    
    Returns:
    
    value at point
  - composition
```
public final lPoly composition(lPoly value)
```
    Description copied from interface: IUnivariatePolynomial
    
    Calculates the composition of this(oth) (new instance, so the content of this is not changed))
    
    Specified by:
    
    composition in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    value - polynomial
    
    Returns:
    
    composition this(oth)
  - shift
```
public final lPoly shift(long value)
```
    Shifts variable x -> x + value and returns the result (new instance)
    
    Parameters:
    
    value - shift amount
    
    Returns:
    
    a copy of this with x -> x + value
  - monicWithLC
```
public lPoly monicWithLC(lPoly other)
```
    Description copied from interface: IPolynomial
    
    Sets this to its monic part multiplied by the leading coefficient of other;
    
    Specified by:
    
    monicWithLC in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    other - other polynomial
    
    Returns:
    
    monic part multiplied by the leading coefficient of other or null if exact division by the reduced leading coefficient is not possible
  - add
```
public final lPoly add(long val)
```
    Add constant to this.
    
    Parameters:
    
    val - some number
    
    Returns:
    
    this + val
  - subtract
```
public final lPoly subtract(long val)
```
    Subtract constant from this.
    
    Parameters:
    
    val - some number
    
    Returns:
    
    this + val
  - decrement
```
public final lPoly decrement()
```
    Description copied from interface: IPolynomial
    
    Subtracts 1 from this
    
    Specified by:
    
    decrement in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    this - 1
  - increment
```
public final lPoly increment()
```
    Description copied from interface: IPolynomial
    
    Adds 1 to this
    
    Specified by:
    
    increment in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    this + 1
  - add
```
public final lPoly add(lPoly oth)
```
    Description copied from interface: IPolynomial
    
    Adds oth to this.
    
    Specified by:
    
    add in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    oth - the polynomial
    
    Returns:
    
    this + oth
  - addMonomial
```
public final lPoly addMonomial(long coefficient,
                               int exponent)
```
    Adds coefficient*x^exponent to this
    
    Parameters:
    
    coefficient - monomial coefficient
    
    exponent - monomial exponent
    
    Returns:
    
    this + coefficient*x^exponent
  - addMul
```
public final lPoly addMul(lPoly oth,
                          long factor)
```
    Adds oth * factor to this
    
    Parameters:
    
    oth - the polynomial
    
    factor - the factor
    
    Returns:
    
    this + oth * factor modulo modulus
  - subtract
```
public final lPoly subtract(lPoly oth)
```
    Description copied from interface: IPolynomial
    
    Subtracts oth from this.
    
    Specified by:
    
    subtract in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    oth - the polynomial
    
    Returns:
    
    this - oth
  - subtract
```
public final lPoly subtract(lPoly oth,
                            long factor,
                            int exponent)
```
    Subtracts factor * x^exponent * oth from this
    
    Parameters:
    
    oth - the polynomial
    
    factor - the factor
    
    exponent - the exponent
    
    Returns:
    
    this - factor * x^exponent * oth
  - negate
```
public final lPoly negate()
```
    Description copied from interface: IPolynomial
    
    Negates this and returns
    
    Specified by:
    
    negate in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Returns:
    
    this negated
  - multiplyByLC
```
public lPoly multiplyByLC(lPoly other)
```
    Description copied from interface: IPolynomial
    
    Multiply this by the leading coefficient of other
    
    Specified by:
    
    multiplyByLC in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    other - polynomial
    
    Returns:
    
    this * lc(other)
  - multiply
```
public final lPoly multiply(long factor)
```
    Description copied from interface: IPolynomial
    
    Multiplies this by factor
    
    Specified by:
    
    multiply in interface IPolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
    
    Parameters:
    
    factor - the factor
    
    Returns:
    
    this * factor
  - getDataReferenceUnsafe
```
public final long[] getDataReferenceUnsafe()
```
    internal API >>> direct unsafe access to internal storage
  - compareTo
```
public final int compareTo(lPoly o)
```
    Specified by:
    
    compareTo in interface Comparable<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
  - toString
```
public String toString()
```
    Overrides:
    
    toString in class Object
  - toString
```
public String toString(IStringifier<lPoly> stringifier)
```
    Description copied from interface: Stringifiable
    
    convert this to string with the use of stringifier
    
    Specified by:
    
    toString in interface Stringifiable<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
  - toStringForCopy
```
public String toStringForCopy()
```
  - streamAsPolys
```
public Stream<lPoly> streamAsPolys()
```
    Description copied from interface: IUnivariatePolynomial
    
    Stream polynomial coefficients as constant polynomials
    
    Specified by:
    
    streamAsPolys in interface IUnivariatePolynomial<lPoly extends cc.redberry.rings.poly.univar.AUnivariatePolynomial64<lPoly>>
  - stream
```
public final LongStream stream()
```
    Returns a sequential Stream with coefficients of this as its source.
    
    Returns:
    
    a sequential Stream over the coefficients in this polynomial
  - mapCoefficients
```
public final <T> UnivariatePolynomial<T> mapCoefficients(Ring<T> ring,
                                                         LongFunction<T> mapper)
```
    Applies transformation function to this and returns the result. This method is equivalent of stream().mapToObj(mapper).collect(new PolynomialCollector<>(ring)).
    
    Type Parameters:
    
    T - result elements type
    
    Parameters:
    
    ring - ring of the new polynomial
    
    mapper - function that maps coefficients of this to coefficients of the result
    
    Returns:
    
    a new polynomial with the coefficients obtained from this by applying mapper
  - equals
```
public final boolean equals(Object obj)
```
    Overrides:
    
    equals in class Object
  - hashCode
```
public final int hashCode()
```
    Overrides:
    
    hashCode in class Object

Class UnivariatePolynomialZp64

Field Summary

Method Summary

Methods inherited from class java.lang.Object

Methods inherited from interface cc.redberry.rings.poly.IPolynomial

Methods inherited from interface cc.redberry.rings.poly.univar.IUnivariatePolynomial

Field Detail

ring

Method Detail

parse

parse

parse

create

create

linear

createUnsafe

createUnsafe

monomial

constant

constant

zero

zero

one

one

setCoefficientRingFrom

modulus

setModulusUnsafe

setModulusUnsafe

setModulus

setModulus

asPolyZSymmetric

asPolyZ

createArray

createArray

createArray2d

createArray2d

getRange

sameCoefficientRingWith

createFromArray

createMonomial

isOverField

isOverFiniteField

isOverZ

coefficientRingCardinality

coefficientRingCharacteristic

isOverPerfectPower

coefficientRingPerfectPowerBase

coefficientRingPerfectPowerExponent

content

monic

monic

divideByLC

divide

multiplyByBigInteger

multiply

square

derivative

toBigPoly

clone

parsePoly

coefficientRingToString

composition

asMultivariate

asMultivariate

degree

get

set

setLC

firstNonZeroCoefficientPosition

lc

lcAsPoly

ccAsPoly

getAsPoly

cc

ensureInternalCapacity

createMonomial

createLinear

createConstant

createZero

createOne