Packages

c

spire.std

BigIntAlgebra

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

Annotations
@SerialVersionUID()
Linear Supertypes
BigIntIsReal, Serializable, Serializable, BigIntIsSigned, BigIntOrder, IsIntegral[BigInt], IsRational[BigInt], IsAlgebraic[BigInt], IsReal[BigInt], Signed[BigInt], Order[BigInt], PartialOrder[BigInt], Eq[BigInt], BigIntIsMetricSpace, MetricSpace[BigInt, BigInt], BigIntIsNRoot, NRoot[BigInt], BigIntIsEuclideanRing, EuclideanRing[BigInt], CRing[BigInt], MultiplicativeCMonoid[BigInt], MultiplicativeCSemigroup[BigInt], Ring[BigInt], Rng[BigInt], AdditiveAbGroup[BigInt], AdditiveCMonoid[BigInt], AdditiveCSemigroup[BigInt], AdditiveGroup[BigInt], Rig[BigInt], MultiplicativeMonoid[BigInt], Semiring[BigInt], MultiplicativeSemigroup[BigInt], AdditiveMonoid[BigInt], AdditiveSemigroup[BigInt], AnyRef, Any
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Inherited
  1. BigIntAlgebra
  2. BigIntIsReal
  3. Serializable
  4. Serializable
  5. BigIntIsSigned
  6. BigIntOrder
  7. IsIntegral
  8. IsRational
  9. IsAlgebraic
  10. IsReal
  11. Signed
  12. Order
  13. PartialOrder
  14. Eq
  15. BigIntIsMetricSpace
  16. MetricSpace
  17. BigIntIsNRoot
  18. NRoot
  19. BigIntIsEuclideanRing
  20. EuclideanRing
  21. CRing
  22. MultiplicativeCMonoid
  23. MultiplicativeCSemigroup
  24. Ring
  25. Rng
  26. AdditiveAbGroup
  27. AdditiveCMonoid
  28. AdditiveCSemigroup
  29. AdditiveGroup
  30. Rig
  31. MultiplicativeMonoid
  32. Semiring
  33. MultiplicativeSemigroup
  34. AdditiveMonoid
  35. AdditiveSemigroup
  36. AnyRef
  37. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new BigIntAlgebra()

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. 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
    BigIntIsSigned → Signed
  5. def additive: AbGroup[BigInt]
    Definition Classes
    AdditiveAbGroup → AdditiveCMonoid → AdditiveCSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. 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
  8. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  9. def compare(x: BigInt, y: BigInt): Int
    Definition Classes
    BigIntOrder → Order
  10. def distance(v: BigInt, w: BigInt): BigInt
    Definition Classes
    BigIntIsMetricSpace → MetricSpace
  11. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  12. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  13. def eqv(x: BigInt, y: BigInt): Boolean

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

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

    Definition Classes
    BigIntOrder → Order → PartialOrder → Eq
  14. final def euclid(a: BigInt, b: BigInt)(implicit eq: Eq[BigInt]): BigInt
    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()
  15. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  16. 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
  17. def fpow(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsNRoot → NRoot
  18. def fromInt(n: Int): BigInt

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

    Defined to be equivalent to additive.sumn(one, n). That is, n repeated summations of this ring's one, or -one if n is negative.

    Definition Classes
    BigIntIsEuclideanRing → Ring
  19. def gcd(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → EuclideanRing
  20. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  21. def gt(x: BigInt, y: BigInt): Boolean
    Definition Classes
    BigIntOrder → Order → PartialOrder
  22. def gteqv(x: BigInt, y: BigInt): Boolean
    Definition Classes
    BigIntOrder → Order → PartialOrder
  23. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  24. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  25. def isOne(a: BigInt)(implicit ev: Eq[BigInt]): Boolean
    Definition Classes
    MultiplicativeMonoid
  26. def isSignNegative(a: BigInt): Boolean
    Definition Classes
    Signed
  27. def isSignNonNegative(a: BigInt): Boolean
    Definition Classes
    Signed
  28. def isSignNonPositive(a: BigInt): Boolean
    Definition Classes
    Signed
  29. def isSignNonZero(a: BigInt): Boolean
    Definition Classes
    Signed
  30. def isSignPositive(a: BigInt): Boolean
    Definition Classes
    Signed
  31. def isSignZero(a: BigInt): Boolean
    Definition Classes
    Signed
  32. 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
  33. def isZero(a: BigInt)(implicit ev: Eq[BigInt]): Boolean

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  34. def lcm(a: BigInt, b: BigInt): BigInt
    Definition Classes
    EuclideanRing
  35. def lt(x: BigInt, y: BigInt): Boolean
    Definition Classes
    BigIntOrder → Order → PartialOrder
  36. def lteqv(x: BigInt, y: BigInt): Boolean
    Definition Classes
    BigIntOrder → Order → PartialOrder
  37. def max(x: BigInt, y: BigInt): BigInt
    Definition Classes
    BigIntOrder → Order
  38. def min(x: BigInt, y: BigInt): BigInt
    Definition Classes
    BigIntOrder → Order
  39. def minus(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → AdditiveGroup
  40. def mod(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → EuclideanRing
  41. def multiplicative: CMonoid[BigInt]
    Definition Classes
    MultiplicativeCMonoid → MultiplicativeCSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup
  42. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  43. def negate(a: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → AdditiveGroup
  44. def neqv(x: BigInt, y: BigInt): Boolean

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

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

    Definition Classes
    BigIntOrder → Eq
  45. final def notify(): Unit
    Definition Classes
    AnyRef
  46. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  47. def nroot(a: BigInt, k: Int): BigInt
    Definition Classes
    BigIntIsNRoot → NRoot
  48. def on[B](f: (B) ⇒ BigInt): Order[B]

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

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

    Definition Classes
    Order → PartialOrder → Eq
  49. val one: BigInt
    Definition Classes
    BigIntIsEuclideanRing → MultiplicativeMonoid
  50. def partialCompare(x: BigInt, y: BigInt): Double

    Result of comparing x with y.

    Result of comparing x with y. Returns NaN if operands are not comparable. If operands are comparable, returns a Double whose sign is: - negative iff x < y - zero iff x === y - positive iff x > y

    Definition Classes
    Order → PartialOrder
  51. def plus(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → AdditiveSemigroup
  52. def pmax(x: BigInt, y: BigInt): Option[BigInt]

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

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

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

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

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

    Definition Classes
    PartialOrder
  54. def pow(a: BigInt, b: Int): BigInt

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

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

    Definition Classes
    BigIntIsEuclideanRing → Rig → Semiring
  55. def prod(as: TraversableOnce[BigInt]): BigInt

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

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

    Definition Classes
    MultiplicativeMonoid
  56. def prodOption(as: TraversableOnce[BigInt]): Option[BigInt]

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

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

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

    Definition Classes
    MultiplicativeSemigroup
  57. def prodn(a: BigInt, n: Int): BigInt

    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup
  58. def prodnAboveOne(a: BigInt, n: Int): BigInt
    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  59. def quot(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → EuclideanRing
  60. def quotmod(a: BigInt, b: BigInt): (BigInt, BigInt)
    Definition Classes
    BigIntIsEuclideanRing → EuclideanRing
  61. def reverse: Order[BigInt]

    Defines an ordering on A where all arrows switch direction.

    Defines an ordering on A where all arrows switch direction.

    Definition Classes
    Order → PartialOrder
  62. def round(a: BigInt): BigInt

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

    Definition Classes
    IsIntegral → IsReal
  63. 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
  64. def signum(a: BigInt): 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
    BigIntIsSigned → Signed
  65. def sqrt(a: BigInt): BigInt
    Definition Classes
    NRoot
  66. def sum(as: TraversableOnce[BigInt]): BigInt

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

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

    Definition Classes
    AdditiveMonoid
  67. def sumOption(as: TraversableOnce[BigInt]): Option[BigInt]

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

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

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

    Definition Classes
    AdditiveSemigroup
  68. def sumn(a: BigInt, n: Int): BigInt

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  69. def sumnAboveOne(a: BigInt, n: Int): BigInt
    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  70. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  71. def times(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → MultiplicativeSemigroup
  72. def toAlgebraic(a: BigInt): Algebraic
    Definition Classes
    IsRational → IsAlgebraic
  73. def toBigInt(n: BigInt): BigInt
    Definition Classes
    BigIntIsReal → IsIntegral
  74. def toDouble(n: BigInt): Double

    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes
    BigIntIsReal → IsReal
  75. def toRational(a: BigInt): Rational
    Definition Classes
    IsIntegral → IsRational
  76. def toReal(a: BigInt): Real
    Definition Classes
    IsAlgebraic → IsReal
  77. def toString(): String
    Definition Classes
    AnyRef → Any
  78. def tryCompare(x: BigInt, y: BigInt): Option[Int]

    Result of comparing x with y.

    Result of comparing x with y. Returns None if operands are not comparable. If operands are comparable, returns Some[Int] where the Int sign is: - negative iff x < y - zero iff x == y - positive iff x > y

    Definition Classes
    PartialOrder
  79. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  80. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  81. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  82. val zero: BigInt
    Definition Classes
    BigIntIsEuclideanRing → AdditiveMonoid

Inherited from BigIntIsReal

Inherited from Serializable

Inherited from Serializable

Inherited from BigIntIsSigned

Inherited from BigIntOrder

Inherited from IsIntegral[BigInt]

Inherited from IsRational[BigInt]

Inherited from IsAlgebraic[BigInt]

Inherited from IsReal[BigInt]

Inherited from Signed[BigInt]

Inherited from Order[BigInt]

Inherited from PartialOrder[BigInt]

Inherited from Eq[BigInt]

Inherited from BigIntIsMetricSpace

Inherited from MetricSpace[BigInt, BigInt]

Inherited from BigIntIsNRoot

Inherited from NRoot[BigInt]

Inherited from BigIntIsEuclideanRing

Inherited from EuclideanRing[BigInt]

Inherited from CRing[BigInt]

Inherited from MultiplicativeCMonoid[BigInt]

Inherited from MultiplicativeCSemigroup[BigInt]

Inherited from Ring[BigInt]

Inherited from Rng[BigInt]

Inherited from AdditiveAbGroup[BigInt]

Inherited from AdditiveCMonoid[BigInt]

Inherited from AdditiveCSemigroup[BigInt]

Inherited from AdditiveGroup[BigInt]

Inherited from Rig[BigInt]

Inherited from MultiplicativeMonoid[BigInt]

Inherited from Semiring[BigInt]

Inherited from MultiplicativeSemigroup[BigInt]

Inherited from AdditiveMonoid[BigInt]

Inherited from AdditiveSemigroup[BigInt]

Inherited from AnyRef

Inherited from Any

Ungrouped