core/spire.std/ShortIsEuclideanRing

ShortIsEuclideanRing

trait ShortIsEuclideanRing extends EuclideanRing[Short]
trait EuclideanRing[Short]
trait GCDRing[Short]
trait CommutativeRing[Short]
trait CommutativeRng[Short]
trait CommutativeRig[Short]
trait MultiplicativeCommutativeMonoid[Short]
trait CommutativeSemiring[Short]
trait MultiplicativeCommutativeSemigroup[Short]
trait Ring[Short]
trait Rng[Short]
trait AdditiveCommutativeGroup[Short]
trait AdditiveGroup[Short]
trait Rig[Short]
trait MultiplicativeMonoid[Short]
trait Semiring[Short]
trait MultiplicativeSemigroup[Short]
trait AdditiveCommutativeMonoid[Short]
trait AdditiveCommutativeSemigroup[Short]
trait AdditiveMonoid[Short]
trait AdditiveSemigroup[Short]
trait Serializable
class Object
trait Matchable
class Any

Value members

Concrete methods

def emod(a: Short, b: Short): Short
def equot(a: Short, b: Short): Short
override
def equotmod(a: Short, b: Short): (Short, Short)
Definition Classes
def euclideanFunction(a: Short): BigInt
override
def fromInt(n: Int): Short
Definition Classes
Ring
def gcd(a: Short, b: Short)(implicit ev: Eq[Short]): Short
def lcm(a: Short, b: Short)(implicit ev: Eq[Short]): Short
override
def minus(a: Short, b: Short): Short
Definition Classes
AdditiveGroup
def negate(a: Short): Short
def one: Short
def plus(a: Short, b: Short): Short
override
def times(a: Short, b: Short): Short
Definition Classes
MultiplicativeSemigroup
def zero: Short

Inherited methods

override
def additive: CommutativeGroup[Short]
Definition Classes
AdditiveCommutativeGroup -> AdditiveCommutativeMonoid -> AdditiveCommutativeSemigroup -> AdditiveGroup -> AdditiveMonoid -> AdditiveSemigroup
Inherited from
AdditiveCommutativeGroup
def fromBigInt(n: BigInt): Short

Convert the given BigInt to an instance of A.

Convert the given BigInt to an instance of A.

This is equivalent to n repeated summations of this ring's one, or -n summations of -one if n is negative.

Most type class instances should consider overriding this method for performance reasons.

Inherited from
Ring
def isOne(a: Short)(implicit ev: Eq[Short]): Boolean

Tests if a is one.

Tests if a is one.

Inherited from
MultiplicativeMonoid
def isZero(a: Short)(implicit ev: Eq[Short]): Boolean

Tests if a is zero.

Tests if a is zero.

Inherited from
AdditiveMonoid
override
def multiplicative: CommutativeMonoid[Short]
Definition Classes
MultiplicativeCommutativeMonoid -> MultiplicativeCommutativeSemigroup -> MultiplicativeMonoid -> MultiplicativeSemigroup
Inherited from
MultiplicativeCommutativeMonoid
override
def pow(a: Short, n: Int): Short
Definition Classes
MultiplicativeMonoid -> MultiplicativeSemigroup
Inherited from
MultiplicativeMonoid
def product(as: IterableOnce[Short]): Short

Given a sequence of as, compute the product.

Given a sequence of as, compute the product.

Inherited from
MultiplicativeMonoid
def sum(as: IterableOnce[Short]): Short

Given a sequence of as, compute the sum.

Given a sequence of as, compute the sum.

Inherited from
AdditiveMonoid
override
def sumN(a: Short, n: Int): Short
Definition Classes
AdditiveGroup -> AdditiveMonoid -> AdditiveSemigroup
Inherited from
AdditiveGroup
override
def tryProduct(as: IterableOnce[Short]): Option[Short]
Definition Classes
MultiplicativeMonoid -> MultiplicativeSemigroup
Inherited from
MultiplicativeMonoid
override
def trySum(as: IterableOnce[Short]): Option[Short]
Definition Classes
AdditiveMonoid -> AdditiveSemigroup
Inherited from
AdditiveMonoid