trait PolynomialSemiring[C] extends Semiring[Polynomial[C]]
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- PolynomialSemiring
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- MultiplicativeSemigroup
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- AdditiveSemigroup
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final
def
!=(arg0: Any): Boolean
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final
def
##(): Int
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final
def
==(arg0: Any): Boolean
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def
additive: Monoid[Polynomial[C]]
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- AdditiveMonoid → AdditiveSemigroup
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final
def
asInstanceOf[T0]: T0
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clone(): AnyRef
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eq(arg0: AnyRef): Boolean
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equals(arg0: Any): Boolean
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def
finalize(): Unit
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final
def
getClass(): Class[_]
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def
hashCode(): Int
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final
def
isInstanceOf[T0]: Boolean
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def
isZero(a: Polynomial[C])(implicit ev: Eq[Polynomial[C]]): Boolean
Tests if
ais zero.Tests if
ais zero.- Definition Classes
- AdditiveMonoid
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def
multiplicative: Semigroup[Polynomial[C]]
- Definition Classes
- MultiplicativeSemigroup
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final
def
ne(arg0: AnyRef): Boolean
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final
def
notify(): Unit
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final
def
notifyAll(): Unit
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def
plus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]
- Definition Classes
- PolynomialSemiring → AdditiveSemigroup
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def
pow(a: Polynomial[C], n: Int): Polynomial[C]
Returns
amultiplied with itselfntimes.Returns
amultiplied with itselfntimes. For instance,a pow 3 === a * a * a. Since this is a semiring, there is no notion of a multiplicative identity, and so the exponent must be positive.- Definition Classes
- Semiring
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def
prodOption(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]
Given a sequence of
as, sum them using the semigroup and return the total.Given a sequence of
as, sum them using the semigroup and return the total.If the sequence is empty, returns None. Otherwise, returns Some(total).
- Definition Classes
- MultiplicativeSemigroup
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def
prodn(a: Polynomial[C], n: Int): Polynomial[C]
Return
amultiplied with itselfntimes.Return
amultiplied with itselfntimes.- Definition Classes
- MultiplicativeSemigroup
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def
prodnAboveOne(a: Polynomial[C], n: Int): Polynomial[C]
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- MultiplicativeSemigroup
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def
sum(as: TraversableOnce[Polynomial[C]]): Polynomial[C]
Given a sequence of
as, sum them using the monoid and return the total.Given a sequence of
as, sum them using the monoid and return the total.- Definition Classes
- AdditiveMonoid
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def
sumOption(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]
Given a sequence of
as, sum them using the semigroup and return the total.Given a sequence of
as, sum them using the semigroup and return the total.If the sequence is empty, returns None. Otherwise, returns Some(total).
- Definition Classes
- AdditiveSemigroup
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def
sumn(a: Polynomial[C], n: Int): Polynomial[C]
Return
aadded with itselfntimes.Return
aadded with itselfntimes.- Definition Classes
- AdditiveMonoid → AdditiveSemigroup
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def
sumnAboveOne(a: Polynomial[C], n: Int): Polynomial[C]
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- AdditiveSemigroup
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final
def
synchronized[T0](arg0: ⇒ T0): T0
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def
times(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]
- Definition Classes
- PolynomialSemiring → MultiplicativeSemigroup
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def
toString(): String
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final
def
wait(): Unit
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final
def
wait(arg0: Long, arg1: Int): Unit
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final
def
wait(arg0: Long): Unit
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def
zero: Polynomial[C]
- Definition Classes
- PolynomialSemiring → AdditiveMonoid