Class pl.Set
A Set class.
> Set = require 'pl.Set' > = Set{'one','two'} == Set{'two','one'} true > fruit = Set{'apple','banana','orange'} > = fruit['banana'] true > = fruit['hazelnut'] nil > colours = Set{'red','orange','green','blue'} > = fruit,colours [apple,orange,banana] [blue,green,orange,red] > = fruit+colours [blue,green,apple,red,orange,banana] > = fruit*colours [orange]
Depdencies: pl.utils, pl.tablex, pl.class, (pl.List if __tostring is used)
Methods
| pl.Set:Set (t) | create a set. |
| pl.Set:values (self) | get a list of the values in a set. |
| pl.Set:map (self, fn, ...) | map a function over the values of a set. |
| pl.Set:union (self, set) | union of two sets (also +). |
| pl.Set:intersection (self, set) | intersection of two sets (also *). |
| pl.Set:difference (self, set) | new set with elements in the set that are not in the other (also -). |
| pl.Set:issubset (self, set) | is the first set a subset of the second (also <)?. |
| pl.Set:isempty (self) | is the set empty?. |
| pl.Set:isdisjoint (s1, s2) | are the sets disjoint? |
| pl.Set:len (s) | size of this set (also # for 5.2). |
Metamethods
| pl.Set:__tostring () | string representation of a set. |
| pl.Set:__add () | union of sets. |
| pl.Set:__mul () | intersection of sets. |
| pl.Set:__sub () | difference of sets. |
| pl.Set:__pow () | symmetric difference of sets. |
| pl.Set:__lt () | first set subset of second? |
| pl.Set:__len () | cardinality of set (5.2). |
| pl.Set:__eq (s1, s2) | equality between sets. |
Methods
- pl.Set:Set (t)
-
create a set.
Parameters:
- t may be a Set, Map or list-like table.
- pl.Set:values (self)
-
get a list of the values in a set.
Parameters:
- self a Set
- pl.Set:map (self, fn, ...)
-
map a function over the values of a set.
Parameters:
- self a Set
- fn a function
- ... extra arguments to pass to the function.
Returns:
-
a new set
- pl.Set:union (self, set)
-
union of two sets (also +).
Parameters:
- self a Set
- set another set
Returns:
-
a new set
- pl.Set:intersection (self, set)
-
intersection of two sets (also *).
Parameters:
- self a Set
- set another set
Returns:
-
a new set
Usage:
> s = Set{10,20,30} > t = Set{20,30,40} > = t [20,30,40] > = Set.intersection(s,t) [30,20] > = s*t [30,20] - pl.Set:difference (self, set)
-
new set with elements in the set that are not in the other (also -).
Parameters:
- self a Set
- set another set
Returns:
-
a new set
- pl.Set:issubset (self, set)
-
is the first set a subset of the second (also <)?.
Parameters:
- self a Set
- set another set
Returns:
-
true or false
- pl.Set:isempty (self)
-
is the set empty?.
Parameters:
- self a Set
Returns:
-
true or false
- pl.Set:isdisjoint (s1, s2)
-
are the sets disjoint? (no elements in common).
Uses naive definition, i.e. that intersection is empty
Parameters:
- s1 a Set
- s2 another set
Returns:
-
true or false
- pl.Set:len (s)
-
size of this set (also # for 5.2).
Parameters:
- s a Set
Returns:
-
size
Metamethods
- pl.Set:__tostring ()
- string representation of a set.
- pl.Set:__add ()
- union of sets.
- pl.Set:__mul ()
- intersection of sets.
- pl.Set:__sub ()
- difference of sets.
- pl.Set:__pow ()
- symmetric difference of sets.
- pl.Set:__lt ()
- first set subset of second?
- pl.Set:__len ()
- cardinality of set (5.2).
- pl.Set:__eq (s1, s2)
-
equality between sets.
Parameters:
- s1
- s2