BigIntAlgebra

Instance Constructors

new BigIntAlgebra()

Value Members

final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def ##(): Int

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

Definition Classes
AnyRef → Any
def abs(a: BigInt): BigInt

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
BigIntSigned → Signed
def additive: CommutativeGroup[BigInt]

Definition Classes
AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
final def asInstanceOf[T0]: T0

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

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: BigInt, y: BigInt): Int

Definition Classes
BigIntOrder → Order
def comparison(x: BigInt, y: BigInt): Comparison

Definition Classes
Order
def distance(v: BigInt, w: BigInt): BigInt

Definition Classes
BigIntIsMetricSpace → MetricSpace
def emod(a: BigInt, b: BigInt): BigInt

Definition Classes
BigIntIsEuclideanRing → EuclideanRing
final def eq(arg0: AnyRef): Boolean

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

Definition Classes
AnyRef → Any
def equot(a: BigInt, b: BigInt): BigInt

Definition Classes
BigIntIsEuclideanRing → EuclideanRing
def equotmod(a: BigInt, b: BigInt): (BigInt, BigInt)

Definition Classes
BigIntIsEuclideanRing → EuclideanRing
def eqv(x: BigInt, y: BigInt): Boolean

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

Definition Classes
BigIntIsEuclideanRing → EuclideanRing
def finalize(): Unit

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

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 fmod(x: BigInt, y: BigInt): BigInt

Definition Classes
TruncatedDivisionCRing → TruncatedDivision
def fpow(a: BigInt, b: BigInt): BigInt

Definition Classes
BigIntIsNRoot → NRoot
def fquot(x: BigInt, y: BigInt): BigInt

Definition Classes
TruncatedDivisionCRing → TruncatedDivision
def fquotmod(x: BigInt, y: BigInt): (BigInt, BigInt)

Definition Classes
TruncatedDivisionCRing → TruncatedDivision
def fromBigInt(n: BigInt): BigInt

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Definition Classes
BigIntIsEuclideanRing → GCDRing
def lt(x: BigInt, y: BigInt): Boolean

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

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

Definition Classes
BigIntOrder → Order
def min(x: BigInt, y: BigInt): BigInt

Definition Classes
BigIntOrder → Order
def minus(a: BigInt, b: BigInt): BigInt

Definition Classes
BigIntIsEuclideanRing → AdditiveGroup
def multiplicative: CommutativeMonoid[BigInt]

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

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

Definition Classes
BigIntIsEuclideanRing → AdditiveGroup
def neqv(x: BigInt, y: BigInt): Boolean

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

Definition Classes
AnyRef
final def notifyAll(): Unit

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

Definition Classes
BigIntIsNRoot → NRoot
val one: BigInt

Definition Classes
BigIntIsEuclideanRing → MultiplicativeMonoid
def partialCompare(x: BigInt, y: BigInt): Double

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

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

Definition Classes
BigIntIsEuclideanRing → AdditiveSemigroup
def pmax(x: BigInt, y: BigInt): Option[BigInt]

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

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

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

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

Definition Classes
BigIntIsEuclideanRing → MultiplicativeMonoid → MultiplicativeSemigroup
def product(as: TraversableOnce[BigInt]): BigInt

Definition Classes
MultiplicativeMonoid
def round(a: BigInt): BigInt

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

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

Returns 0 if a is 0, 1 if a is positive, and -1 is a is negative.
Returns 0 if a is 0, 1 if a is positive, and -1 is a is negative.

Definition Classes
BigIntSigned → Signed
def sqrt(a: BigInt): BigInt

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

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

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

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

Definition Classes
BigIntIsEuclideanRing → MultiplicativeSemigroup
def tmod(a: BigInt, b: BigInt): BigInt

Definition Classes
BigIntTruncatedDivision → TruncatedDivision
def toAlgebraic(a: BigInt): Algebraic

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

Definition Classes
BigIntIsReal → IsIntegral
def toBigIntOpt(x: BigInt): Opt[BigInt]

Returns the integer a such that x = a * one, if it exists.
Returns the integer a such that x = a * one, if it exists.

Definition Classes
BigIntTruncatedDivision → TruncatedDivision
def toDouble(n: BigInt): Double

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

Definition Classes
BigIntIsReal → IsReal
def toOrdering: Ordering[BigInt]

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

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

Definition Classes
IsAlgebraic → IsReal
def toString(): String

Definition Classes
AnyRef → Any
def tquot(a: BigInt, b: BigInt): BigInt

Definition Classes
BigIntTruncatedDivision → TruncatedDivision
def tquotmod(a: BigInt, b: BigInt): (BigInt, BigInt)

Definition Classes
BigIntTruncatedDivision → TruncatedDivision
def tryCompare(x: BigInt, y: BigInt): Option[Int]

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

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

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( ... )
val zero: BigInt

Definition Classes
BigIntIsEuclideanRing → AdditiveMonoid

Related Doc: package std

class BigIntAlgebra extends BigIntIsEuclideanRing with BigIntIsNRoot with BigIntIsMetricSpace with BigIntIsReal with Serializable

Instance Constructors

new BigIntAlgebra()

Value Members

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

def abs(a: BigInt): BigInt

def additive: CommutativeGroup[BigInt]

final def asInstanceOf[T0]: T0

def ceil(a: BigInt): BigInt

def clone(): AnyRef

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

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

def distance(v: BigInt, w: BigInt): BigInt

def emod(a: BigInt, b: BigInt): BigInt

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

def equot(a: BigInt, b: BigInt): BigInt

def equotmod(a: BigInt, b: BigInt): (BigInt, BigInt)

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

def euclideanFunction(a: BigInt): BigInt

def finalize(): Unit

def floor(a: BigInt): BigInt

def fmod(x: BigInt, y: BigInt): BigInt

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

def fquot(x: BigInt, y: BigInt): BigInt

def fquotmod(x: BigInt, y: BigInt): (BigInt, BigInt)

def fromBigInt(n: BigInt): BigInt

def fromInt(n: Int): BigInt

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

final def getClass(): Class[_]

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

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

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

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

def isSignNegative(a: BigInt): Boolean

def isSignNonNegative(a: BigInt): Boolean

def isSignNonPositive(a: BigInt): Boolean

def isSignNonZero(a: BigInt): Boolean

def isSignPositive(a: BigInt): Boolean

def isSignZero(a: BigInt): Boolean

def isWhole(a: BigInt): Boolean

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

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

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

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

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

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

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

def multiplicative: CommutativeMonoid[BigInt]

final def ne(arg0: AnyRef): Boolean

def negate(a: BigInt): BigInt

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

final def notify(): Unit

final def notifyAll(): Unit

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

val one: BigInt

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

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

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

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

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

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

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

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

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

def round(a: BigInt): BigInt

def sign(a: BigInt): Sign

def signum(a: BigInt): Int

def sqrt(a: BigInt): BigInt

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

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

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

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

def tmod(a: BigInt, b: BigInt): BigInt

def toAlgebraic(a: BigInt): Algebraic