core/spire.std/IntIsEuclideanRing

IntIsEuclideanRing

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

Value members

Concrete methods

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

Inherited methods

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

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

Tests if a is one.

Tests if a is one.

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

Tests if a is zero.

Tests if a is zero.

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

Given a sequence of as, compute the product.

Given a sequence of as, compute the product.

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

Given a sequence of as, compute the sum.

Given a sequence of as, compute the sum.

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