Packages

c

spire.std

LongAlgebra

class LongAlgebra extends LongIsEuclideanRing with LongIsNRoot with LongIsReal with Serializable

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

Instance Constructors

  1. new LongAlgebra()

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: Long): Long

    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
    LongIsSigned → Signed
  5. def additive: AbGroup[Long]
    Definition Classes
    AdditiveAbGroup → AdditiveCMonoid → AdditiveCSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. def ceil(a: Long): Long

    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: Long, y: Long): Int
    Definition Classes
    LongOrder → Order
  10. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  11. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  12. def eqv(x: Long, y: Long): Boolean

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

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

    Definition Classes
    LongOrder → Order → PartialOrder → Eq
  13. final def euclid(a: Long, b: Long)(implicit eq: Eq[Long]): Long
    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()
  14. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  15. def floor(a: Long): Long

    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
  16. def fpow(a: Long, b: Long): Long
    Definition Classes
    LongIsNRoot → NRoot
  17. def fromInt(n: Int): Long

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

    Returns true iff a is a an integer.

    Returns true iff a is a an integer.

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

    Tests if a is zero.

    Tests if a is zero.

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

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

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

    Definition Classes
    LongOrder → Eq
  45. final def notify(): Unit
    Definition Classes
    AnyRef
  46. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  47. def nroot(x: Long, n: Int): Long
    Definition Classes
    LongIsNRoot → NRoot
  48. def on[B](f: (B) ⇒ Long): 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. def one: Long
    Definition Classes
    LongIsEuclideanRing → MultiplicativeMonoid
  50. def partialCompare(x: Long, y: Long): 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: Long, b: Long): Long
    Definition Classes
    LongIsEuclideanRing → AdditiveSemigroup
  52. def pmax(x: Long, y: Long): Option[Long]

    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: Long, y: Long): Option[Long]

    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: Long, b: Int): Long

    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
    LongIsEuclideanRing → Rig → Semiring
  55. def prod(as: TraversableOnce[Long]): Long

    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[Long]): Option[Long]

    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: Long, n: Int): Long

    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

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

    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: Long): Long

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

    Definition Classes
    IsIntegral → IsReal
  63. def sign(a: Long): 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: Long): 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
    LongIsSigned → Signed
  65. def sqrt(a: Long): Long
    Definition Classes
    NRoot
  66. def sum(as: TraversableOnce[Long]): Long

    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[Long]): Option[Long]

    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: Long, n: Int): Long

    Return a added with itself n times.

    Return a added with itself n times.

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

    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes
    LongIsReal → IsReal
  75. def toRational(a: Long): Rational
    Definition Classes
    IsIntegral → IsRational
  76. def toReal(a: Long): Real
    Definition Classes
    IsAlgebraic → IsReal
  77. def toString(): String
    Definition Classes
    AnyRef → Any
  78. def tryCompare(x: Long, y: Long): 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. def zero: Long
    Definition Classes
    LongIsEuclideanRing → AdditiveMonoid

Inherited from Serializable

Inherited from Serializable

Inherited from LongIsReal

Inherited from LongIsSigned

Inherited from LongOrder

Inherited from IsIntegral[Long]

Inherited from IsRational[Long]

Inherited from IsAlgebraic[Long]

Inherited from IsReal[Long]

Inherited from Signed[Long]

Inherited from Order[Long]

Inherited from PartialOrder[Long]

Inherited from Eq[Long]

Inherited from LongIsNRoot

Inherited from NRoot[Long]

Inherited from LongIsEuclideanRing

Inherited from EuclideanRing[Long]

Inherited from CRing[Long]

Inherited from MultiplicativeCMonoid[Long]

Inherited from MultiplicativeCSemigroup[Long]

Inherited from Ring[Long]

Inherited from Rng[Long]

Inherited from AdditiveAbGroup[Long]

Inherited from AdditiveCMonoid[Long]

Inherited from AdditiveCSemigroup[Long]

Inherited from AdditiveGroup[Long]

Inherited from Rig[Long]

Inherited from MultiplicativeMonoid[Long]

Inherited from Semiring[Long]

Inherited from MultiplicativeSemigroup[Long]

Inherited from AdditiveMonoid[Long]

Inherited from AdditiveSemigroup[Long]

Inherited from AnyRef

Inherited from Any

Ungrouped