core/spire.std/LongIsEuclideanRing

LongIsEuclideanRing

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

Value members

Concrete methods

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

Inherited methods

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

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: Long)(implicit ev: Eq[Long]): Boolean

Tests if a is one.

Tests if a is one.

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

Tests if a is zero.

Tests if a is zero.

Inherited from
AdditiveMonoid
override
def multiplicative: CommutativeMonoid[Long]
Definition Classes
MultiplicativeCommutativeMonoid -> MultiplicativeCommutativeSemigroup -> MultiplicativeMonoid -> MultiplicativeSemigroup
Inherited from
MultiplicativeCommutativeMonoid
def product(as: IterableOnce[Long]): Long

Given a sequence of as, compute the product.

Given a sequence of as, compute the product.

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

Given a sequence of as, compute the sum.

Given a sequence of as, compute the sum.

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