Field

trait Field[@specialized(Int, Long, Float, Double) A] extends CommutativeRing[A] with MultiplicativeCommutativeGroup[A]
Companion
object

Value members

Concrete methods

def fromDouble(a: Double): A

This is implemented in terms of basic Field ops. However, this is probably significantly less efficient than can be done with a specific type. So, it is recommended that this method be overriden.

This is implemented in terms of basic Field ops. However, this is probably significantly less efficient than can be done with a specific type. So, it is recommended that this method be overriden.

This is possible because a Double is a rational number.

Inherited methods

def div(x: A, y: A): A
Inherited from
MultiplicativeGroup
def fromBigInt(n: BigInt): A

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 fromInt(n: Int): A

Convert the given integer to an instance of A.

Convert the given integer to an instance of A.

Defined to be equivalent to sumN(one, n).

That is, 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: A)(ev: Eq[A]): Boolean

Tests if a is one.

Tests if a is one.

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

Tests if a is zero.

Tests if a is zero.

Inherited from
AdditiveMonoid
def minus(x: A, y: A): A
Inherited from
AdditiveGroup
def negate(x: A): A
Inherited from
AdditiveGroup
def one: A
Inherited from
MultiplicativeMonoid
def plus(x: A, y: A): A
Inherited from
AdditiveSemigroup
override def pow(a: A, n: Int): A
def product(as: IterableOnce[A]): A

Given a sequence of as, compute the product.

Given a sequence of as, compute the product.

Inherited from
MultiplicativeMonoid
def reciprocal(x: A): A
Inherited from
MultiplicativeGroup
def sum(as: IterableOnce[A]): A

Given a sequence of as, compute the sum.

Given a sequence of as, compute the sum.

Inherited from
AdditiveMonoid
override def sumN(a: A, n: Int): A
Definition Classes
Inherited from
AdditiveGroup
def times(x: A, y: A): A
override def tryProduct(as: IterableOnce[A]): Option[A]
override def trySum(as: IterableOnce[A]): Option[A]
Definition Classes
Inherited from
AdditiveMonoid
def zero: A
Inherited from
AdditiveMonoid