Fractional

abstract def abs(a: A): A

An idempotent function that ensures an object has a non-negative sign.

abstract def ceil(a: A): A

Rounds a the nearest integer that is greater than or equal to a.

abstract def compare(x: A, y: A): Int

abstract def div(x: A, y: A): A

abstract def floor(a: A): A

Rounds a the nearest integer that is less than or equal to a.

abstract def fpow(a: A, b: A): A

abstract def fromAlgebraic(n: Algebraic): A

abstract def fromBigDecimal(n: BigDecimal): A

abstract def fromBigInt(n: BigInt): A

abstract def fromByte(n: Byte): A

abstract def fromFloat(n: Float): A

abstract def fromLong(n: Long): A

abstract def fromRational(n: Rational): A

abstract def fromReal(n: Real): A

abstract def fromShort(n: Short): A

abstract def fromType[B](b: B)(implicit arg0: ConvertableFrom[B]): A

abstract def gcd(a: A, b: A): A

abstract def getClass(): Class[_]

abstract def isWhole(a: A): Boolean

Returns true iff a is a an integer.

abstract def mod(a: A, b: A): A

abstract def negate(x: A): A

abstract def nroot(a: A, n: Int): A

abstract def one: A

abstract def plus(x: A, y: A): A

abstract def quot(a: A, b: A): A

abstract def round(a: A): A

Rounds a to the nearest integer.

abstract def signum(a: A): Int

Returns 0 if a is 0, > 0 if a is positive, and < 0 is a is negative.

abstract def times(x: A, y: A): A

abstract def toAlgebraic(a: A): Algebraic

abstract def toBigDecimal(a: A): BigDecimal

abstract def toBigInt(a: A): BigInt

abstract def toByte(a: A): Byte

abstract def toDouble(a: A): Double

Approximates a as a Double.

abstract def toFloat(a: A): Float

abstract def toInt(a: A): Int

abstract def toLong(a: A): Long

abstract def toNumber(a: A): Number

abstract def toRational(a: A): Rational

abstract def toReal(a: A): Real

abstract def toShort(a: A): Short

abstract def toString(a: A): String

abstract def toType[B](a: A)(implicit arg0: ConvertableTo[B]): B

abstract def zero: A

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

def additive: AbGroup[A]

final def asInstanceOf[T0]: T0

def equals(arg0: Any): Boolean

def eqv(x: A, y: A): Boolean

Returns true if x and y are equivalent, false otherwise.

final def euclid(a: A, b: A)(implicit eq: Eq[A]): A

def fromDouble(a: Double): A

This is implemented in terms of basic Field ops.

def fromInt(n: Int): A

Defined to be equivalent to additive.sumn(one, n).

def gt(x: A, y: A): Boolean

def gteqv(x: A, y: A): Boolean

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

def isOne(a: A)(implicit ev: Eq[A]): Boolean

def isSignNegative(a: A): Boolean

def isSignNonNegative(a: A): Boolean

def isSignNonPositive(a: A): Boolean

def isSignNonZero(a: A): Boolean

def isSignPositive(a: A): Boolean

def isSignZero(a: A): Boolean

def isZero(a: A)(implicit ev: Eq[A]): Boolean

Tests if a is zero.

def lcm(a: A, b: A): A

def lt(x: A, y: A): Boolean

def lteqv(x: A, y: A): Boolean

def max(x: A, y: A): A

def min(x: A, y: A): A

def minus(x: A, y: A): A

def multiplicative: AbGroup[A]

def neqv(x: A, y: A): Boolean

Returns false if x and y are equivalent, true otherwise.

def on[B](f: (B) ⇒ A): Order[B]

Defines an order on B by mapping B to A using f and using As order to order B.

def partialCompare(x: A, y: A): Double

Result of comparing x with y.

def pmax(x: A, y: A): Option[A]

Returns Some(x) if x >= y, Some(y) if x < y, otherwise None.

def pmin(x: A, y: A): Option[A]

Returns Some(x) if x <= y, Some(y) if x > y, otherwise None.

def pow(a: A, n: Int): A

This is similar to Semigroup#pow, except that a pow 0 is defined to be the multiplicative identity.

def prod(as: TraversableOnce[A]): A

Given a sequence of as, sum them using the monoid and return the total.

def prodOption(as: TraversableOnce[A]): Option[A]

Given a sequence of as, sum them using the semigroup and return the total.

def prodn(a: A, n: Int): A

Return a multiplicated with itself n times.

def prodnAboveOne(a: A, n: Int): A

def quotmod(a: A, b: A): (A, A)

def reciprocal(x: A): A

def reverse: Order[A]

Defines an ordering on A where all arrows switch direction.

def sign(a: A): Sign

Returns Zero if a is 0, Positive if a is positive, and Negative is a is negative.

def sqrt(a: A): A

def sum(as: TraversableOnce[A]): A

Given a sequence of as, sum them using the monoid and return the total.

def sumOption(as: TraversableOnce[A]): Option[A]

Given a sequence of as, sum them using the semigroup and return the total.

def sumn(a: A, n: Int): A

Return a added with itself n times.

def sumnAboveOne(a: A, n: Int): A

def toString(): String

def tryCompare(x: A, y: A): Option[Int]

Result of comparing x with y.