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Polynomial

scas.polynomial.array.Polynomial
class Polynomial[C, N](using x$1: Ring[C], x$2: ArrayPowerProduct[N])(using x$3: ClassTag[N], x$4: ClassTag[C]) extends ArrayPolynomial[C, N], Conv[Element[C, N]]

Attributes

Graph
Supertypes
trait Conv[Element[C, N]]
trait Conv[Element[C, N]]
trait Conv[Element[C, N]]
trait Conv[Element[C, N]]
trait Conv[Element[C, N]]
trait ArrayPolynomial[C, N]
trait Polynomial[Element[C, N], C, Array[N]]
trait AlgebraOverRing[Element[C, N], C]
trait Module[Element[C, N], C]
trait Ring[Element[C, N]]
trait Monoid[Element[C, N]]
trait SemiGroup[Element[C, N]]
trait AbelianGroup[Element[C, N]]
trait Structure[Element[C, N]]
trait Show[Element[C, N]]
trait Equiv[Element[C, N]]
trait Equiv[Element[C, N]]
trait Serializable
class Object
trait Matchable
class Any
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Members list

Type members

Inherited classlikes

class Iterator(x: Element[ArrayPolynomial.this.C, ArrayPolynomial.this.N], n: Int) extends Iterator[(Array[N], C)]

Attributes

Inherited from:
ArrayPolynomial
Supertypes
trait Iterator[(Array[ArrayPolynomial.this.N], ArrayPolynomial.this.C)]
trait IterableOnceOps[(Array[ArrayPolynomial.this.N], ArrayPolynomial.this.C), Iterator, Iterator[(Array[ArrayPolynomial.this.N], ArrayPolynomial.this.C)]]
trait IterableOnce[(Array[ArrayPolynomial.this.N], ArrayPolynomial.this.C)]
class Object
trait Matchable
class Any
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Value members

Inherited methods

def abs[U : Conversion[Element[C, N]]](x: U): Element[C, N]

Attributes

Inherited from:
AbelianGroup
def abs(x: Element[C, N]): Element[C, N]

Attributes

Inherited from:
AbelianGroup
def apply(s: (Array[N], C)*): Element[C, N]

Attributes

Inherited from:
ArrayPolynomial
def apply(m: Array[N], c: C): Element[C, N]

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Inherited from:
Polynomial
def apply(value: Array[N]): Element[C, N]

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Inherited from:
Polynomial
def apply(value: C): Element[C, N]

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Inherited from:
Polynomial
def characteristic: BigInteger

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Inherited from:
Polynomial
def equiv(x: Element[C, N], y: Element[C, N]): Boolean

Attributes

Inherited from:
Polynomial
def equiv(x: (Array[N], C), y: (Array[N], C)): Boolean

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Inherited from:
Polynomial
def fenced(s: String): String

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Inherited from:
Structure
def fromInt[U : Conversion[BigInteger]](x: U): Element[C, N]

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Inherited from:
Ring
def fromInt(n: BigInteger): Element[C, N]

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Inherited from:
Polynomial
def generator(n: Int): Element[C, N]

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Inherited from:
Polynomial
def generators: List[Element[C, N]]

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Inherited from:
Polynomial
def length: Int

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Inherited from:
ArrayPolynomial
def normalize(x: Element[C, N]): Element[C, N]

Attributes

Inherited from:
Polynomial
def random(numbits: Int)(using rnd: Random): Element[C, N]

Attributes

Inherited from:
Structure
def s_polynomial(x: Element[C, N], y: Element[C, N]): Element[C, N]

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Inherited from:
Polynomial
def same(s: Element[C, N]*): Unit

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Inherited from:
Polynomial
def toMathML: String

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Inherited from:
Polynomial
def toMathML(fenced: Boolean): String

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Inherited from:
Polynomial
override def toString: String

Returns a string representation of the object.

Returns a string representation of the object.

The default representation is platform dependent.

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Returns

a string representation of the object.

Definition Classes
Polynomial -> Any
Inherited from:
Polynomial
def zero(n: Int): Element[C, N]

Attributes

Inherited from:
ArrayPolynomial

Inherited fields

override val one: Element[C, N]

Attributes

Inherited from:
Polynomial
override val zero: Element[C, N]

Attributes

Inherited from:
Polynomial

Givens

Givens

override given given_ClassTag_C: ClassTag[C]
override given given_ClassTag_N: ClassTag[N]
given instance: Polynomial[C, N]
override given pp: ArrayPowerProduct[N]
override given ring: Ring[C]

Inherited givens

given bigInt2ring[U : Conversion[BigInteger]]: U => Element[C, N]

Attributes

Inherited from:
Ring
given coef2poly[D : Conversion[C]]: D => Element[C, N]

Attributes

Inherited from:
Polynomial

Extensions

Inherited extensions

extension (a: Element[C, N])
def \[U : Conversion[BigInteger]](b: U): Element[C, N]

Attributes

Inherited from:
Monoid
def \:[U : Conversion[BigInteger]](b: U): Element[C, N]

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Inherited from:
Monoid
def pow(b: BigInteger): Element[C, N]

Attributes

Inherited from:
Monoid
extension [U : Conversion[Element[C, N]]](a: U)
def \[V : Conversion[BigInteger]](b: V): Element[C, N]

Attributes

Inherited from:
Conv
extension [U : Conversion[Element[C, N]], V : Conversion[BigInteger]](a: U)
def \:(b: V): Element[C, N]

Attributes

Inherited from:
Conv
extension (c: C)
def multiplyLeft(x: Element[C, N]): Element[C, N]

Attributes

Inherited from:
Polynomial
extension (ring: Ring[C])
def apply(s: Element[C, N]*): Polynomial[Element[C, N], C, Array[N]]

Attributes

Inherited from:
Polynomial
extension (ring: Ring[C])
def pow(n: Int): Module[Element[C, N], C]

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Inherited from:
Polynomial
extension (x: Element[C, N])
inline def <>[U : Conversion[Element[C, N]]](y: U): Boolean

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Inherited from:
Equiv
inline def ><[U : Conversion[Element[C, N]]](y: U): Boolean

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Inherited from:
Equiv
extension (x: Element[C, N])
inline def *[U : Conversion[Element[C, N]]](y: U): Element[C, N]

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Inherited from:
SemiGroup
extension (x: Element[C, N])
inline def +[U : Conversion[Element[C, N]]](y: U): Element[C, N]

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Inherited from:
AbelianGroup
inline def -[U : Conversion[Element[C, N]]](y: U): Element[C, N]

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Inherited from:
AbelianGroup
def unary_-: Element[C, N]

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Inherited from:
AbelianGroup
extension (x: Element[C, N])
def show: String

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Inherited from:
Structure
extension [U : Conversion[C]](x: U)
def *%(y: Element[C, N]): Element[C, N]

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Inherited from:
Module
extension [U : Conversion[Element[C, N]]](x: U)
inline def <>[V : Conversion[Element[C, N]]](y: V): Boolean

Attributes

Inherited from:
Conv
inline def ><[V : Conversion[Element[C, N]]](y: V): Boolean

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Inherited from:
Conv
extension [U : Conversion[Element[C, N]]](x: U)
inline def *[V : Conversion[Element[C, N]]](y: V): Element[C, N]

Attributes

Inherited from:
Conv
extension (x: Element[C, N])
def isOne: Boolean

Attributes

Inherited from:
Monoid
extension (x: Element[C, N])
def add(y: Element[C, N]): Element[C, N]

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Inherited from:
ArrayPolynomial
def add(y: Element[C, N], n: Int, m: Int): Unit

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Inherited from:
ArrayPolynomial
def add(y: Element[C, N], n: Int): Unit

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Inherited from:
ArrayPolynomial
def add(m: Array[N], n: Int, c: C): Unit

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Inherited from:
ArrayPolynomial
def add(r: (Array[N], C)): Unit

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Inherited from:
ArrayPolynomial
def apply(n: Int): (Array[N], C)

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Inherited from:
ArrayPolynomial
def head: (Array[N], C)

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Inherited from:
ArrayPolynomial
final def indexOf(m: Array[N], i: Int, j: Int): Int

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Inherited from:
ArrayPolynomial
def indexOf(m: Array[N]): Int

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Inherited from:
ArrayPolynomial
override def isZero: Boolean

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Definition Classes
Inherited from:
ArrayPolynomial
override def iterator(m: Array[N]): Iterator[(Array[N], C)]

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Definition Classes
Inherited from:
ArrayPolynomial
def iterator: Iterator[(Array[N], C)]

Attributes

Inherited from:
ArrayPolynomial
def last: (Array[N], C)

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Inherited from:
ArrayPolynomial
def map(f: (Array[N], C) => (Array[N], C)): Element[C, N]

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Inherited from:
ArrayPolynomial
override def multiply(m: Array[N], c: C): Element[C, N]

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Definition Classes
Inherited from:
ArrayPolynomial
def pack: Element[C, N]

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Inherited from:
ArrayPolynomial
def size: Int

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Inherited from:
ArrayPolynomial
extension [U : Conversion[Element[C, N]]](x: U)
inline def +[V : Conversion[Element[C, N]]](y: V): Element[C, N]

Attributes

Inherited from:
Conv
inline def -[V : Conversion[Element[C, N]]](y: V): Element[C, N]

Attributes

Inherited from:
Conv
extension (x: Element[C, N])
def signum: Int

Attributes

Inherited from:
Polynomial
extension (x: Element[C, N])
def subtract(y: Element[C, N]): Element[C, N]

Attributes

Inherited from:
Polynomial
extension (x: Element[C, N])
def isUnit: Boolean

Attributes

Inherited from:
Polynomial
extension (x: Element[C, N])
override def %*[U : Conversion[C]](y: U): Element[C, N]

Attributes

Definition Classes
Inherited from:
Polynomial
def %*(m: Array[N]): Element[C, N]

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Inherited from:
Polynomial
def multiply(y: Element[C, N]): Element[C, N]

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Inherited from:
Polynomial
extension (x: Element[C, N])
def toCode(level: Level): String

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Inherited from:
Polynomial
extension (x: Element[C, N])
def toCode(level: Level, plus: String, times: String): String

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Inherited from:
Polynomial
extension (x: Element[C, N])
def toMathML: String

Attributes

Inherited from:
Polynomial
extension (x: Element[C, N])
def toMathML(plus: String, times: String): String

Attributes

Inherited from:
Polynomial
extension (x: Element[C, N])
def coefOne: Element[C, N]

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Inherited from:
Polynomial
def coefficient(m: Array[N]): C

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Inherited from:
Polynomial
def coefficient(y: Element[C, N]): Element[C, N]

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Inherited from:
Polynomial
def degree: BigInteger

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Inherited from:
Polynomial
def factorOf(s: Array[N], a: C, strict: Boolean): Boolean

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Inherited from:
Polynomial
def headCoefficient: C

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Inherited from:
Polynomial
def headPowerProduct: Array[N]

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Inherited from:
Polynomial
def lastCoefficient: C

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Inherited from:
Polynomial
def multiplyRight(c: C): Element[C, N]

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Inherited from:
Polynomial
def reduce(m: Array[N], a: C, y: Element[C, N], b: C, strict: Boolean): Element[C, N]

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Inherited from:
Polynomial
final def reduce(strict: Boolean, m: Array[N], ys: Element[C, N]*): Element[C, N]

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Inherited from:
Polynomial
def reduce(strict: Boolean, tail: Boolean, ys: Element[C, N]*): Element[C, N]

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Inherited from:
Polynomial
final def reduce(strict: Boolean, ys: Element[C, N]*): Element[C, N]

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Inherited from:
Polynomial
def reduce(ys: Element[C, N]*): Element[C, N]

Attributes

Inherited from:
Polynomial
def reverseIterator: Iterator[(Array[N], C)]

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Inherited from:
Polynomial
def sort: Element[C, N]

Attributes

Inherited from:
Polynomial
def subtract(m: Array[N], c: C, y: Element[C, N]): Element[C, N]

Attributes

Inherited from:
Polynomial
def toSeq: Seq[(Array[N], C)]

Attributes

Inherited from:
Polynomial

Exports

Inherited defined exports

final val Level: Level
Exported from prettyprint

Attributes

Inherited from:
Structure
final type Level = Level
Exported from prettyprint

Attributes

Inherited from:
Structure
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