Packages

c

spire.std

ShortAlgebra

class ShortAlgebra extends ShortIsEuclideanRing with ShortIsReal with Serializable

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

Instance Constructors

  1. new ShortAlgebra()

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: Short): Short

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

    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: Short, y: Short): Int
    Definition Classes
    ShortOrder → 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: Short, y: Short): Boolean

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

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

    Definition Classes
    ShortOrder → Order → PartialOrder → Eq
  13. final def euclid(a: Short, b: Short)(implicit eq: Eq[Short]): Short
    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: Short): Short

    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 fromInt(n: Int): Short

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

    Returns true iff a is a an integer.

    Returns true iff a is a an integer.

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

    Tests if a is zero.

    Tests if a is zero.

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

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

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

    Definition Classes
    ShortOrder → Eq
  43. final def notify(): Unit
    Definition Classes
    AnyRef
  44. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  45. def on[B](f: (B) ⇒ Short): 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
  46. def one: Short
    Definition Classes
    ShortIsEuclideanRing → MultiplicativeMonoid
  47. def partialCompare(x: Short, y: Short): 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
  48. def plus(a: Short, b: Short): Short
    Definition Classes
    ShortIsEuclideanRing → AdditiveSemigroup
  49. def pmax(x: Short, y: Short): Option[Short]

    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
  50. def pmin(x: Short, y: Short): Option[Short]

    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
  51. def pow(a: Short, b: Int): Short

    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
    ShortIsEuclideanRing → Rig → Semiring
  52. def prod(as: TraversableOnce[Short]): Short

    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
  53. def prodOption(as: TraversableOnce[Short]): Option[Short]

    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
  54. def prodn(a: Short, n: Int): Short

    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup
  55. def prodnAboveOne(a: Short, n: Int): Short
    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  56. def quot(a: Short, b: Short): Short
    Definition Classes
    ShortIsEuclideanRing → EuclideanRing
  57. def quotmod(a: Short, b: Short): (Short, Short)
    Definition Classes
    EuclideanRing
  58. def reverse: Order[Short]

    Defines an ordering on A where all arrows switch direction.

    Defines an ordering on A where all arrows switch direction.

    Definition Classes
    Order → PartialOrder
  59. def round(a: Short): Short

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

    Definition Classes
    IsIntegral → IsReal
  60. def sign(a: Short): 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
  61. def signum(a: Short): 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
    ShortIsSigned → Signed
  62. def sum(as: TraversableOnce[Short]): Short

    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
  63. def sumOption(as: TraversableOnce[Short]): Option[Short]

    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
  64. def sumn(a: Short, n: Int): Short

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  65. def sumnAboveOne(a: Short, n: Int): Short
    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  66. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  67. def times(a: Short, b: Short): Short
    Definition Classes
    ShortIsEuclideanRing → MultiplicativeSemigroup
  68. def toAlgebraic(a: Short): Algebraic
    Definition Classes
    IsRational → IsAlgebraic
  69. def toBigInt(n: Short): BigInt
    Definition Classes
    ShortIsReal → IsIntegral
  70. def toDouble(n: Short): Double

    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes
    ShortIsReal → IsReal
  71. def toRational(a: Short): Rational
    Definition Classes
    IsIntegral → IsRational
  72. def toReal(a: Short): Real
    Definition Classes
    IsAlgebraic → IsReal
  73. def toString(): String
    Definition Classes
    AnyRef → Any
  74. def tryCompare(x: Short, y: Short): 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
  75. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  76. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  77. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  78. def zero: Short
    Definition Classes
    ShortIsEuclideanRing → AdditiveMonoid

Inherited from Serializable

Inherited from Serializable

Inherited from ShortIsReal

Inherited from ShortIsSigned

Inherited from ShortOrder

Inherited from IsIntegral[Short]

Inherited from IsRational[Short]

Inherited from IsAlgebraic[Short]

Inherited from IsReal[Short]

Inherited from Signed[Short]

Inherited from Order[Short]

Inherited from PartialOrder[Short]

Inherited from Eq[Short]

Inherited from ShortIsEuclideanRing

Inherited from EuclideanRing[Short]

Inherited from CRing[Short]

Inherited from MultiplicativeCMonoid[Short]

Inherited from MultiplicativeCSemigroup[Short]

Inherited from Ring[Short]

Inherited from Rng[Short]

Inherited from AdditiveAbGroup[Short]

Inherited from AdditiveCMonoid[Short]

Inherited from AdditiveCSemigroup[Short]

Inherited from AdditiveGroup[Short]

Inherited from Rig[Short]

Inherited from MultiplicativeMonoid[Short]

Inherited from Semiring[Short]

Inherited from MultiplicativeSemigroup[Short]

Inherited from AdditiveMonoid[Short]

Inherited from AdditiveSemigroup[Short]

Inherited from AnyRef

Inherited from Any

Ungrouped