AlgebraicAlgebra

Instance Constructors

new AlgebraicAlgebra()

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: Algebraic): Algebraic

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
AlgebraicIsReal → Signed
def additive: CommutativeGroup[Algebraic]

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

Definition Classes
Eq
final def asInstanceOf[T0]: T0

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

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
AlgebraicIsReal → IsReal
def clone(): AnyRef

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

Definition Classes
AlgebraicIsReal → Order
def comparison(x: Algebraic, y: Algebraic): Comparison

Definition Classes
Order
def div(a: Algebraic, b: Algebraic): Algebraic

Definition Classes
AlgebraicIsField → MultiplicativeGroup
final def eq(arg0: AnyRef): Boolean

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

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

Definition Classes
AlgebraicIsReal → Order → PartialOrder → Eq
def euclideanFunction(a: Algebraic): BigInt

Definition Classes
Field → EuclideanRing
def finalize(): Unit

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

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
AlgebraicIsReal → IsReal
def fpow(a: Algebraic, b: Algebraic): Algebraic

Definition Classes
AlgebraicIsField
def fromBigInt(n: BigInt): Algebraic

Definition Classes
Ring
def fromDouble(n: Double): Algebraic

Definition Classes
AlgebraicIsField → Field
def fromInt(n: Int): Algebraic

Definition Classes
AlgebraicIsField → Ring
def gcd(a: Algebraic, b: Algebraic)(implicit eqA: Eq[Algebraic]): Algebraic

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

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

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

Definition Classes
Order → PartialOrder
def hashCode(): Int

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

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

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

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

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

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

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

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

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

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

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

Definition Classes
AdditiveMonoid
def lcm(a: Algebraic, b: Algebraic)(implicit eqA: Eq[Algebraic]): Algebraic

Definition Classes
Field → EuclideanRing → GCDRing
def lt(x: Algebraic, y: Algebraic): Boolean

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

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

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

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

Definition Classes
AlgebraicIsField → AdditiveGroup
def mod(a: Algebraic, b: Algebraic): Algebraic

Definition Classes
Field → EuclideanRing
def multiplicative: CommutativeGroup[Algebraic]

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

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

Definition Classes
AlgebraicIsField → AdditiveGroup
def neqv(x: Algebraic, y: Algebraic): Boolean

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

Definition Classes
AnyRef
final def notifyAll(): Unit

Definition Classes
AnyRef
def nroot(a: Algebraic, k: Int): Algebraic

Definition Classes
AlgebraicIsField
def on[B](f: (B) ⇒ Algebraic): Order[B]

Definition Classes
Order → PartialOrder → Eq
def one: Algebraic

Definition Classes
AlgebraicIsField → MultiplicativeMonoid
def or(that: Eq[Algebraic]): Eq[Algebraic]

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

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

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

Definition Classes
AlgebraicIsField → AdditiveSemigroup
def pmax(x: Algebraic, y: Algebraic): Option[Algebraic]

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

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

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

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

Definition Classes
AlgebraicIsField → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup
def product(as: TraversableOnce[Algebraic]): Algebraic

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

Definition Classes
Field → EuclideanRing
def quotmod(a: Algebraic, b: Algebraic): (Algebraic, Algebraic)

Definition Classes
Field → EuclideanRing
def reciprocal(x: Algebraic): Algebraic

Definition Classes
MultiplicativeGroup
def reverse: Order[Algebraic]

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

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

Definition Classes
AlgebraicIsReal → IsReal
def sign(a: Algebraic): 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
AlgebraicIsReal → Signed
def signum(a: Algebraic): 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
AlgebraicIsReal → Signed
def sqrt(a: Algebraic): Algebraic

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

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

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

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

Definition Classes
AlgebraicIsField → MultiplicativeSemigroup
def toAlgebraic(x: Algebraic): Algebraic

Definition Classes
AlgebraicIsReal → IsAlgebraic
def toDouble(x: Algebraic): Double

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

Definition Classes
AlgebraicIsReal → IsReal
def toOrdering: Ordering[Algebraic]

Definition Classes
Order
def toReal(a: Algebraic): Real

Definition Classes
IsAlgebraic → IsReal
def toString(): String

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

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

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

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[Algebraic]): Order[Algebraic]

Definition Classes
Order
def zero: Algebraic

Definition Classes
AlgebraicIsField → AdditiveMonoid

class AlgebraicAlgebra extends AlgebraicIsField with AlgebraicIsNRoot with AlgebraicIsReal with Serializable

Instance Constructors

new AlgebraicAlgebra()

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: Algebraic): Algebraic

def additive: CommutativeGroup[Algebraic]

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

final def asInstanceOf[T0]: T0

def ceil(a: Algebraic): Algebraic

def clone(): AnyRef

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

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

def div(a: Algebraic, b: Algebraic): Algebraic

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

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

def euclideanFunction(a: Algebraic): BigInt

def finalize(): Unit

def floor(a: Algebraic): Algebraic

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

def fromBigInt(n: BigInt): Algebraic

def fromDouble(n: Double): Algebraic

def fromInt(n: Int): Algebraic

def gcd(a: Algebraic, b: Algebraic)(implicit eqA: Eq[Algebraic]): Algebraic

final def getClass(): Class[_]

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

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

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

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

def isSignNegative(a: Algebraic): Boolean

def isSignNonNegative(a: Algebraic): Boolean

def isSignNonPositive(a: Algebraic): Boolean

def isSignNonZero(a: Algebraic): Boolean

def isSignPositive(a: Algebraic): Boolean

def isSignZero(a: Algebraic): Boolean

def isWhole(a: Algebraic): Boolean

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

def lcm(a: Algebraic, b: Algebraic)(implicit eqA: Eq[Algebraic]): Algebraic

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

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

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

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

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

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

def multiplicative: CommutativeGroup[Algebraic]

final def ne(arg0: AnyRef): Boolean

def negate(a: Algebraic): Algebraic

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

final def notify(): Unit

final def notifyAll(): Unit

def nroot(a: Algebraic, k: Int): Algebraic

def on[B](f: (B) ⇒ Algebraic): Order[B]

def one: Algebraic

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

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

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

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

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

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

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

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

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

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

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

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

def reciprocal(x: Algebraic): Algebraic

def reverse: Order[Algebraic]

def round(a: Algebraic): Algebraic

def sign(a: Algebraic): Sign

def signum(a: Algebraic): Int

def sqrt(a: Algebraic): Algebraic

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

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