Class

algebra.instances

BigIntAlgebra

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class BigIntAlgebra extends CommutativeRing[BigInt] with Serializable

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Inherited
  1. BigIntAlgebra
  2. CommutativeRing
  3. CommutativeRng
  4. CommutativeRig
  5. MultiplicativeCommutativeMonoid
  6. CommutativeSemiring
  7. MultiplicativeCommutativeSemigroup
  8. Ring
  9. Rng
  10. AdditiveCommutativeGroup
  11. AdditiveGroup
  12. Rig
  13. MultiplicativeMonoid
  14. Semiring
  15. MultiplicativeSemigroup
  16. AdditiveCommutativeMonoid
  17. AdditiveCommutativeSemigroup
  18. AdditiveMonoid
  19. AdditiveSemigroup
  20. Serializable
  21. Serializable
  22. AnyRef
  23. Any
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Visibility
  1. Public
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Instance Constructors

  1. new BigIntAlgebra()

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Value Members

  1. final def !=(arg0: Any): Boolean

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

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

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    Definition Classes
    AnyRef → Any
  4. def additive: CommutativeGroup[BigInt]

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  5. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  6. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  7. final def eq(arg0: AnyRef): Boolean

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

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    Definition Classes
    AnyRef → Any
  9. def finalize(): Unit

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

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    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.

    Definition Classes
    BigIntAlgebraRing
  11. def fromInt(n: Int): BigInt

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    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.

    Definition Classes
    BigIntAlgebraRing
  12. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  13. def hashCode(): Int

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

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

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    Tests if a is one.

    Tests if a is one.

    Definition Classes
    MultiplicativeMonoid
  16. def isZero(a: BigInt)(implicit ev: Eq[BigInt]): Boolean

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    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  17. def minus(a: BigInt, b: BigInt): BigInt

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    Definition Classes
    BigIntAlgebraAdditiveGroup
  18. def multiplicative: CommutativeMonoid[BigInt]

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  19. final def ne(arg0: AnyRef): Boolean

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

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    Definition Classes
    BigIntAlgebraAdditiveGroup
  21. final def notify(): Unit

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    Definition Classes
    AnyRef
  22. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  23. val one: BigInt

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    Definition Classes
    BigIntAlgebraMultiplicativeMonoid
  24. def plus(a: BigInt, b: BigInt): BigInt

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    Definition Classes
    BigIntAlgebraAdditiveSemigroup
  25. def positivePow(a: BigInt, n: Int): BigInt

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

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

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

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    Given a sequence of as, compute the product.

    Given a sequence of as, compute the product.

    Definition Classes
    MultiplicativeMonoid
  29. def sum(as: TraversableOnce[BigInt]): BigInt

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    Given a sequence of as, compute the sum.

    Given a sequence of as, compute the sum.

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

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

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

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    Definition Classes
    BigIntAlgebraMultiplicativeSemigroup
  33. def toString(): String

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    Definition Classes
    AnyRef → Any
  34. def tryProduct(as: TraversableOnce[BigInt]): Option[BigInt]

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    Given a sequence of as, combine them and return the total.

    Given a sequence of as, combine them and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    MultiplicativeMonoidMultiplicativeSemigroup
  35. def trySum(as: TraversableOnce[BigInt]): Option[BigInt]

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    Given a sequence of as, combine them and return the total.

    Given a sequence of as, combine them and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    AdditiveMonoidAdditiveSemigroup
  36. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  39. val zero: BigInt

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    Definition Classes
    BigIntAlgebraAdditiveMonoid

Inherited from CommutativeRing[BigInt]

Inherited from CommutativeRng[BigInt]

Inherited from CommutativeRig[BigInt]

Inherited from MultiplicativeCommutativeMonoid[BigInt]

Inherited from CommutativeSemiring[BigInt]

Inherited from MultiplicativeCommutativeSemigroup[BigInt]

Inherited from Ring[BigInt]

Inherited from Rng[BigInt]

Inherited from AdditiveCommutativeGroup[BigInt]

Inherited from AdditiveGroup[BigInt]

Inherited from Rig[BigInt]

Inherited from MultiplicativeMonoid[BigInt]

Inherited from Semiring[BigInt]

Inherited from MultiplicativeSemigroup[BigInt]

Inherited from AdditiveCommutativeMonoid[BigInt]

Inherited from AdditiveCommutativeSemigroup[BigInt]

Inherited from AdditiveMonoid[BigInt]

Inherited from AdditiveSemigroup[BigInt]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

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