Class

algebra.std

FloatAlgebra

Related Doc: package std

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class FloatAlgebra extends Field[Float] with Order[Float] with Serializable

Due to the way floating-point equality works, this instance is not lawful under equality, but is correct when taken as an approximation of an exact value.

If you would prefer an absolutely lawful fractional value, you'll need to investigate rational numbers or more exotic types.

Linear Supertypes
Order[Float], PartialOrder[Float], Eq[Float], Field[Float], MultiplicativeCommutativeGroup[Float], MultiplicativeGroup[Float], EuclideanRing[Float], CommutativeRing[Float], CommutativeRig[Float], MultiplicativeCommutativeMonoid[Float], MultiplicativeCommutativeSemigroup[Float], Ring[Float], Rng[Float], AdditiveCommutativeGroup[Float], AdditiveGroup[Float], Rig[Float], MultiplicativeMonoid[Float], Semiring[Float], MultiplicativeSemigroup[Float], AdditiveCommutativeMonoid[Float], AdditiveCommutativeSemigroup[Float], AdditiveMonoid[Float], AdditiveSemigroup[Float], Serializable, Serializable, AnyRef, Any
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Inherited
  1. FloatAlgebra
  2. Order
  3. PartialOrder
  4. Eq
  5. Field
  6. MultiplicativeCommutativeGroup
  7. MultiplicativeGroup
  8. EuclideanRing
  9. CommutativeRing
  10. CommutativeRig
  11. MultiplicativeCommutativeMonoid
  12. MultiplicativeCommutativeSemigroup
  13. Ring
  14. Rng
  15. AdditiveCommutativeGroup
  16. AdditiveGroup
  17. Rig
  18. MultiplicativeMonoid
  19. Semiring
  20. MultiplicativeSemigroup
  21. AdditiveCommutativeMonoid
  22. AdditiveCommutativeSemigroup
  23. AdditiveMonoid
  24. AdditiveSemigroup
  25. Serializable
  26. Serializable
  27. AnyRef
  28. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new FloatAlgebra()

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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[Float]

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    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  5. def and(that: Eq[Float]): Eq[Float]

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    Definition Classes
    Eq

  6. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  7. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  8. def compare(x: Float, y: Float): Int

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    Definition Classes
    FloatAlgebra → Order

  9. def div(x: Float, y: Float): Float

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    Definition Classes
    FloatAlgebra → MultiplicativeGroup

  10. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef

  11. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  12. def eqv(x: Float, y: Float): Boolean

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    Definition Classes
    FloatAlgebra → Order → PartialOrder → Eq

  13. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  14. def fromDouble(x: Double): Float

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    Definition Classes
    FloatAlgebra → Field

  15. def fromInt(x: Int): Float

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    Definition Classes
    FloatAlgebra → Ring

  16. def gcd(x: Float, y: Float): Float

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  17. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any

  18. def gt(x: Float, y: Float): Boolean

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    Definition Classes
    FloatAlgebra → Order → PartialOrder

  19. def gteqv(x: Float, y: Float): Boolean

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    Definition Classes
    FloatAlgebra → Order → PartialOrder

  20. def hashCode(): Int

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    Definition Classes
    AnyRef → Any

  21. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

  22. def isOne(a: Float)(implicit ev: Eq[Float]): Boolean

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    Definition Classes
    MultiplicativeMonoid

  23. def isZero(a: Float)(implicit ev: Eq[Float]): Boolean

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    Definition Classes
    AdditiveMonoid

  24. def lt(x: Float, y: Float): Boolean

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    Definition Classes
    FloatAlgebra → Order → PartialOrder

  25. def lteqv(x: Float, y: Float): Boolean

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    Definition Classes
    FloatAlgebra → Order → PartialOrder

  26. def max(x: Float, y: Float): Float

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    Definition Classes
    FloatAlgebra → Order

  27. def min(x: Float, y: Float): Float

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    Definition Classes
    FloatAlgebra → Order

  28. def minus(x: Float, y: Float): Float

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    Definition Classes
    FloatAlgebra → AdditiveGroup

  29. def mod(x: Float, y: Float): Float

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    Definition Classes
    FloatAlgebra → EuclideanRing

  30. def multiplicative: CommutativeGroup[Float]

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    Definition Classes
    MultiplicativeCommutativeGroup → MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

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    Definition Classes
    AnyRef

  32. def negate(x: Float): Float

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    Definition Classes
    FloatAlgebra → AdditiveGroup

  33. def neqv(x: Float, y: Float): Boolean

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    Definition Classes
    FloatAlgebra → Order → Eq

  34. final def notify(): Unit

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    Definition Classes
    AnyRef

  35. final def notifyAll(): Unit

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    Definition Classes
    AnyRef

  36. def on[B](f: (B) ⇒ Float): Order[B]

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    Definition Classes
    Order → PartialOrder → Eq

  37. def one: Float

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    Definition Classes
    FloatAlgebra → MultiplicativeMonoid

  38. def or(that: Eq[Float]): Eq[Float]

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    Definition Classes
    Eq

  39. def partialCompare(x: Float, y: Float): Double

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    Definition Classes
    Order → PartialOrder

  40. def plus(x: Float, y: Float): Float

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    Definition Classes
    FloatAlgebra → AdditiveSemigroup

  41. def pmax(x: Float, y: Float): Option[Float]

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    Definition Classes
    PartialOrder

  42. def pmin(x: Float, y: Float): Option[Float]

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    Definition Classes
    PartialOrder

  43. def positivePow(a: Float, n: Int): Float

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    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  44. def positiveSumN(a: Float, n: Int): Float

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    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

  45. def pow(x: Float, y: Int): Float

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    Definition Classes
    FloatAlgebra → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

  46. def product(as: TraversableOnce[Float]): Float

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    Definition Classes
    MultiplicativeMonoid

  47. def quot(x: Float, y: Float): Float

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    Definition Classes
    FloatAlgebra → EuclideanRing

  48. def quotmod(x: Float, y: Float): (Float, Float)

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    Definition Classes
    FloatAlgebra → EuclideanRing

  49. def reciprocal(x: Float): Float

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    Definition Classes
    FloatAlgebra → MultiplicativeGroup

  50. def reverse: Order[Float]

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    Definition Classes
    Order → PartialOrder

  51. def sum(as: TraversableOnce[Float]): Float

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    Definition Classes
    AdditiveMonoid

  52. def sumN(a: Float, n: Int): Float

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    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

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

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    Definition Classes
    AnyRef

  54. def times(x: Float, y: Float): Float

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    Definition Classes
    FloatAlgebra → MultiplicativeSemigroup

  55. def toOrdering: Ordering[Float]

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    Definition Classes
    Order

  56. def toString(): String

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    Definition Classes
    AnyRef → Any

  57. def tryCompare(x: Float, y: Float): Option[Int]

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    Definition Classes
    PartialOrder

  58. def tryProduct(as: TraversableOnce[Float]): Option[Float]

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    Definition Classes
    MultiplicativeSemigroup

  59. def trySum(as: TraversableOnce[Float]): Option[Float]

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    Definition Classes
    AdditiveSemigroup

  60. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  61. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  62. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  63. def whenEqual(o: Order[Float]): Order[Float]

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    Definition Classes
    Order

  64. def zero: Float

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    Definition Classes
    FloatAlgebra → AdditiveMonoid

Inherited from Order[Float]

Inherited from PartialOrder[Float]

Inherited from Eq[Float]

Inherited from Field[Float]

Inherited from MultiplicativeCommutativeGroup[Float]

Inherited from MultiplicativeGroup[Float]

Inherited from EuclideanRing[Float]

Inherited from CommutativeRing[Float]

Inherited from CommutativeRig[Float]

Inherited from MultiplicativeCommutativeMonoid[Float]

Inherited from MultiplicativeCommutativeSemigroup[Float]

Inherited from Ring[Float]

Inherited from Rng[Float]

Inherited from AdditiveCommutativeGroup[Float]

Inherited from AdditiveGroup[Float]

Inherited from Rig[Float]

Inherited from MultiplicativeMonoid[Float]

Inherited from Semiring[Float]

Inherited from MultiplicativeSemigroup[Float]

Inherited from AdditiveCommutativeMonoid[Float]

Inherited from AdditiveCommutativeSemigroup[Float]

Inherited from AdditiveMonoid[Float]

Inherited from AdditiveSemigroup[Float]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped