A trait for representing partial orderings. It is important to distinguish between a type that has a partial order and a representation of partial ordering on some type. This trait is for representing the latter.
A partial ordering is a binary relation on a type T, exposed as the lteq method of this trait. This relation must be:
- reflexive: lteq(x, x) == true, for any x of type T. - anti-symmetric: if lteq(x, y) == true and lteq(y, x) == true then equiv(x, y) == true, for any x and y of type T. - transitive: if lteq(x, y) == true and lteq(y, z) == true then lteq(x, z) == true, for any x, y, and z of type T.
Additionally, a partial ordering induces an equivalence relation on a type T: x and y of type T are equivalent if and only if lteq(x, y) && lteq(y, x) == true. This equivalence relation is exposed as the equiv method, inherited from the Equiv trait.
Attributes
- Companion
- object
- Source
- PartialOrdering.scala
- Graph
-
- Supertypes
- Known subtypes
-
trait Ordering[T]object DeadlineIsOrderedobject DurationIsOrderedobject FiniteDurationIsOrderedtrait Numeric[T]trait Fractional[T]trait BigDecimalIsFractionalobject BigDecimalIsFractionaltrait DoubleIsFractionalobject DoubleIsFractionaltrait FloatIsFractionalobject FloatIsFractionaltrait Integral[T]trait BigDecimalAsIfIntegralobject BigDecimalAsIfIntegraltrait BigIntIsIntegralobject BigIntIsIntegraltrait ByteIsIntegralobject ByteIsIntegraltrait CharIsIntegralobject CharIsIntegraltrait IntIsIntegralobject IntIsIntegraltrait LongIsIntegralobject LongIsIntegraltrait ShortIsIntegralobject ShortIsIntegraltrait BigDecimalIsConflictedtrait BigDecimalOrderingobject BigDecimaltrait BigIntOrderingobject BigInttrait BooleanOrderingobject Booleantrait ByteOrderingobject Bytetrait CachedReverse[T]object Inttrait CharOrderingobject Chartrait IeeeOrderingobject IeeeOrderingtrait TotalOrderingobject DeprecatedDoubleOrderingobject TotalOrderingtrait IeeeOrderingobject IeeeOrderingtrait TotalOrderingobject DeprecatedFloatOrderingobject TotalOrderingtrait IntOrderingtrait LongOrderingobject Longtrait OptionOrdering[T]trait ShortOrderingobject Shorttrait StringOrderingobject Stringtrait SymbolOrderingobject Symboltrait UnitOrderingobject UnitShow all
- Self type
Members list
Value members
Abstract methods
Returns true iff x comes before y in the ordering.
Result of comparing x with operand y.
Result of comparing x with operand y. Returns None if operands are not comparable. If operands are comparable, returns Some(r) where - r < 0 iff x < y - r == 0 iff x == y - r > 0 iff x > y
Attributes
- Source
- PartialOrdering.scala
Concrete methods
Returns true iff x is equivalent to y in the ordering.
Returns true iff y comes before x in the ordering and is not the same as x.
Returns true iff y comes before x in the ordering and is not the same as x.
Attributes
- Source
- PartialOrdering.scala
Returns true iff y comes before x in the ordering.
Returns true iff x comes before y in the ordering and is not the same as y.
Returns true iff x comes before y in the ordering and is not the same as y.
Attributes
- Source
- PartialOrdering.scala
Attributes
- Source
- PartialOrdering.scala