IntAlgebra

Instance Constructors

new IntAlgebra()

Value Members

final def !=(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def !=(arg0: Any): Boolean

Definition Classes
Any
final def ##(): Int

Definition Classes
AnyRef → Any
final def ==(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def ==(arg0: Any): Boolean

Definition Classes
Any
def abs(a: Int): Int

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

Definition Classes
IntIsSigned → Signed
def additive: CommutativeGroup[Int]

Definition Classes
AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
def and(that: Eq[Int]): Eq[Int]

Definition Classes
Eq
final def asInstanceOf[T0]: T0

Definition Classes
Any
def ceil(a: Int): Int

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

Definition Classes
IsIntegral → IsReal
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
def compare(x: Int, y: Int): Int

Definition Classes
IntOrder → Order
def comparison(x: Int, y: Int): Comparison

Definition Classes
Order
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def equals(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def eqv(x: Int, y: Int): Boolean

Definition Classes
IntOrder → Order → PartialOrder → Eq
def euclideanFunction(a: Int): BigInt

Definition Classes
IntIsEuclideanRing → EuclideanRing
def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
def floor(a: Int): Int

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

Definition Classes
IsIntegral → IsReal
def fpow(a: Int, b: Int): Int

Definition Classes
IntIsNRoot → NRoot
def fromBigInt(n: BigInt): Int

Definition Classes
Ring
def fromInt(n: Int): Int

Definition Classes
IntIsEuclideanRing → Ring
def gcd(a: Int, b: Int)(implicit ev: Eq[Int]): Int

Definition Classes
IntIsEuclideanRing → EuclideanRing → GCDRing
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
def gt(x: Int, y: Int): Boolean

Definition Classes
IntOrder → Order → PartialOrder
def gteqv(x: Int, y: Int): Boolean

Definition Classes
IntOrder → Order → PartialOrder
def hashCode(): Int

Definition Classes
AnyRef → Any
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
def isOne(a: Int)(implicit ev: Eq[Int]): Boolean

Definition Classes
MultiplicativeMonoid
def isSignNegative(a: Int): Boolean

Definition Classes
Signed
def isSignNonNegative(a: Int): Boolean

Definition Classes
Signed
def isSignNonPositive(a: Int): Boolean

Definition Classes
Signed
def isSignNonZero(a: Int): Boolean

Definition Classes
Signed
def isSignPositive(a: Int): Boolean

Definition Classes
Signed
def isSignZero(a: Int): Boolean

Definition Classes
Signed
def isWhole(a: Int): Boolean

Returns true iff a is a an integer.
Returns true iff a is a an integer.

Definition Classes
IsIntegral → IsReal
def isZero(a: Int)(implicit ev: Eq[Int]): Boolean

Definition Classes
AdditiveMonoid
def lcm(a: Int, b: Int)(implicit ev: Eq[Int]): Int

Definition Classes
IntIsEuclideanRing → EuclideanRing → GCDRing
def log(a: Int): Int

Definition Classes
IntIsNRoot
def lt(x: Int, y: Int): Boolean

Definition Classes
IntOrder → Order → PartialOrder
def lteqv(x: Int, y: Int): Boolean

Definition Classes
IntOrder → Order → PartialOrder
def max(x: Int, y: Int): Int

Definition Classes
Order
def min(x: Int, y: Int): Int

Definition Classes
Order
def minus(a: Int, b: Int): Int

Definition Classes
IntIsEuclideanRing → AdditiveGroup
def mod(a: Int, b: Int): Int

Definition Classes
IntIsEuclideanRing → EuclideanRing
def multiplicative: CommutativeMonoid[Int]

Definition Classes
MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def negate(a: Int): Int

Definition Classes
IntIsEuclideanRing → AdditiveGroup
def neqv(x: Int, y: Int): Boolean

Definition Classes
IntOrder → Order → Eq
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

Definition Classes
AnyRef
def nroot(x: Int, n: Int): Int

Definition Classes
IntIsNRoot → NRoot
def on[B](f: (B) ⇒ Int): Order[B]

Definition Classes
Order → PartialOrder → Eq
def one: Int

Definition Classes
IntIsEuclideanRing → MultiplicativeMonoid
def or(that: Eq[Int]): Eq[Int]

Definition Classes
Eq
def partialCompare(x: Int, y: Int): Double

Definition Classes
Order → PartialOrder
def partialComparison(x: Int, y: Int): Option[Comparison]

Definition Classes
PartialOrder
def plus(a: Int, b: Int): Int

Definition Classes
IntIsEuclideanRing → AdditiveSemigroup
def pmax(x: Int, y: Int): Option[Int]

Definition Classes
PartialOrder
def pmin(x: Int, y: Int): Option[Int]

Definition Classes
PartialOrder
def positivePow(a: Int, n: Int): Int

Attributes
protected[this]
Definition Classes
MultiplicativeSemigroup
def positiveSumN(a: Int, n: Int): Int

Attributes
protected[this]
Definition Classes
AdditiveSemigroup
def pow(a: Int, b: Int): Int

Definition Classes
IntIsEuclideanRing → MultiplicativeMonoid → MultiplicativeSemigroup
def product(as: TraversableOnce[Int]): Int

Definition Classes
MultiplicativeMonoid
def quot(a: Int, b: Int): Int

Definition Classes
IntIsEuclideanRing → EuclideanRing
def quotmod(a: Int, b: Int): (Int, Int)

Definition Classes
EuclideanRing
def reverse: Order[Int]

Definition Classes
Order → PartialOrder
def round(a: Int): Int

Rounds a to the nearest integer.
Rounds a to the nearest integer.

Definition Classes
IsIntegral → IsReal
def sign(a: Int): Sign

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

Definition Classes
Signed
def signum(a: Int): Int

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

Definition Classes
IntIsSigned → Signed
def sqrt(a: Int): Int

Definition Classes
NRoot
def sum(as: TraversableOnce[Int]): Int

Definition Classes
AdditiveMonoid
def sumN(a: Int, n: Int): Int

Definition Classes
AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def times(a: Int, b: Int): Int

Definition Classes
IntIsEuclideanRing → MultiplicativeSemigroup
def toAlgebraic(a: Int): Algebraic

Definition Classes
IsRational → IsAlgebraic
def toBigInt(n: Int): BigInt

Definition Classes
IntIsReal → IsIntegral
def toDouble(n: Int): Double

Approximates a as a Double.
Approximates a as a Double.

Definition Classes
IntIsReal → IsReal
def toOrdering: Ordering[Int]

Definition Classes
Order
def toRational(a: Int): Rational

Definition Classes
IsIntegral → IsRational
def toReal(a: Int): Real

Definition Classes
IsAlgebraic → IsReal
def toString(): String

Definition Classes
AnyRef → Any
def tryCompare(x: Int, y: Int): Option[Int]

Definition Classes
PartialOrder
def tryProduct(as: TraversableOnce[Int]): Option[Int]

Definition Classes
MultiplicativeMonoid → MultiplicativeSemigroup
def trySum(as: TraversableOnce[Int]): Option[Int]

Definition Classes
AdditiveMonoid → AdditiveSemigroup
final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
def whenEqual(o: Order[Int]): Order[Int]

Definition Classes
Order
def zero: Int

Definition Classes
IntIsEuclideanRing → AdditiveMonoid

class IntAlgebra extends IntIsEuclideanRing with IntIsNRoot with IntIsReal with Serializable

Instance Constructors

new IntAlgebra()

Value Members

final def !=(arg0: AnyRef): Boolean

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: AnyRef): Boolean

final def ==(arg0: Any): Boolean

def abs(a: Int): Int

def additive: CommutativeGroup[Int]

def and(that: Eq[Int]): Eq[Int]

final def asInstanceOf[T0]: T0

def ceil(a: Int): Int

def clone(): AnyRef

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

def comparison(x: Int, y: Int): Comparison

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

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

def euclideanFunction(a: Int): BigInt

def finalize(): Unit

def floor(a: Int): Int

def fpow(a: Int, b: Int): Int

def fromBigInt(n: BigInt): Int

def fromInt(n: Int): Int

def gcd(a: Int, b: Int)(implicit ev: Eq[Int]): Int

final def getClass(): Class[_]

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

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

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

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

def isSignNegative(a: Int): Boolean

def isSignNonNegative(a: Int): Boolean

def isSignNonPositive(a: Int): Boolean

def isSignNonZero(a: Int): Boolean

def isSignPositive(a: Int): Boolean

def isSignZero(a: Int): Boolean

def isWhole(a: Int): Boolean

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

def lcm(a: Int, b: Int)(implicit ev: Eq[Int]): Int

def log(a: Int): Int

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

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

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

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

def minus(a: Int, b: Int): Int

def mod(a: Int, b: Int): Int

def multiplicative: CommutativeMonoid[Int]

final def ne(arg0: AnyRef): Boolean

def negate(a: Int): Int

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

final def notify(): Unit

final def notifyAll(): Unit

def nroot(x: Int, n: Int): Int

def on[B](f: (B) ⇒ Int): Order[B]

def one: Int

def or(that: Eq[Int]): Eq[Int]

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

def partialComparison(x: Int, y: Int): Option[Comparison]

def plus(a: Int, b: Int): Int

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

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

def positivePow(a: Int, n: Int): Int

def positiveSumN(a: Int, n: Int): Int

def pow(a: Int, b: Int): Int

def product(as: TraversableOnce[Int]): Int

def quot(a: Int, b: Int): Int

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

def reverse: Order[Int]

def round(a: Int): Int

def sign(a: Int): Sign

def signum(a: Int): Int

def sqrt(a: Int): Int

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

def sumN(a: Int, n: Int): Int

final def synchronized[T0](arg0: ⇒ T0): T0

def times(a: Int, b: Int): Int