spire.optional.intervalGeometricPartialOrder
IntervalGeometricPartialOrder
Returns true if x and y are equivalent, false otherwise.
Returns true if x and y are equivalent, false otherwise.
Returns false if x and y are equivalent, true otherwise.
Returns false if x and y are equivalent, true otherwise.
Defines a partial order on B by mapping B to A using f and using As
order to order B.
Defines a partial order on B by mapping B to A using f and using As
order to order B.
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
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.
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.
Defines a partial order on A where all arrows switch direction.
Defines a partial order on A where all arrows switch direction.
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
Interval partial order defined as follows:
Involving empty intervals:
- if I and J are empty, then I === J. - if I (resp. J) is empty and J (resp. I) is non-empty, the ordering is undefined (preserving antisymmetry).
For non-empty intervals:
- I === J is standard Eq semantics (I, J are intersubstituable) - I < J if all x \in I, y \in J have x < y - I > J if all x \in I, y \in J have x > y