trait PartialOrder[A] extends Eq[A]

The PartialOrder type class is used to define a partial ordering on some type A.

A partial order is defined by a relation <=, which obeys the following laws:

- x <= x (reflexivity) - if x <= y and y <= x, then x = y (anti-symmetry) - if x <= y and y <= z, then x <= z (transitivity)

To compute both <= and >= at the same time, we use a Double number to encode the result of the comparisons x <= y and x >= y. The truth table is defined as follows:

x <= y x >= y Double true true = 0.0 (corresponds to x = y) false false = NaN (x and y cannot be compared) true false = -1.0 (corresponds to x < y) false true = 1.0 (corresponds to x > y)

Self Type
PartialOrder[A]
Source
PartialOrder.scala
Linear Supertypes
Eq[A], Serializable, Serializable, Any
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Abstract Value Members

  1. abstract def getClass(): Class[_]
    Definition Classes
    Any
  2. abstract def partialCompare(x: A, y: A): 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

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    Any
  2. final def ##(): Int
    Definition Classes
    Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    Any
  4. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  5. def equals(arg0: Any): Boolean
    Definition Classes
    Any
  6. def eqv(x: A, y: A): Boolean

    Returns true if x = y, false otherwise.

    Returns true if x = y, false otherwise.

    Definition Classes
    PartialOrderEq
  7. def gt(x: A, y: A): Boolean

    Returns true if x > y, false otherwise.

  8. def gteqv(x: A, y: A): Boolean

    Returns true if x >= y, false otherwise.

  9. def hashCode(): Int
    Definition Classes
    Any
  10. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  11. def lt(x: A, y: A): Boolean

    Returns true if x < y, false otherwise.

  12. def lteqv(x: A, y: A): Boolean

    Returns true if x <= y, false otherwise.

  13. def neqv(x: A, y: A): Boolean

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

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

    Definition Classes
    Eq
  14. def partialComparison(x: A, y: A): Option[Comparison]

    Like partialCompare, but returns a cats.kernel.Comparison instead of an Double.

    Like partialCompare, but returns a cats.kernel.Comparison instead of an Double. Has the benefit of being able to pattern match on, but not as performant.

  15. def pmax(x: A, y: A): Option[A]

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

  16. def pmin(x: A, y: A): Option[A]

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

  17. def toString(): String
    Definition Classes
    Any
  18. def tryCompare(x: A, y: A): 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

Inherited from Eq[A]

Inherited from Serializable

Inherited from Serializable

Inherited from Any

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