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-rw-r--r--lib/pure/collections/sets.nim702
1 files changed, 635 insertions, 67 deletions
diff --git a/lib/pure/collections/sets.nim b/lib/pure/collections/sets.nim
index f1eed0004..42cdc682f 100644
--- a/lib/pure/collections/sets.nim
+++ b/lib/pure/collections/sets.nim
@@ -9,6 +9,10 @@
 
 ## The ``sets`` module implements an efficient hash set and ordered hash set.
 ##
+## Hash sets are different from the `built in set type
+## <manual.html#set-type>`_. Sets allow you to store any value that can be
+## `hashed <hashes.html>`_ and they don't contain duplicate entries.
+##
 ## **Note**: The data types declared here have *value semantics*: This means
 ## that ``=`` performs a copy of the set.
 
@@ -23,20 +27,69 @@ type
   TSlotEnum = enum seEmpty, seFilled, seDeleted
   TKeyValuePair[A] = tuple[slot: TSlotEnum, key: A]
   TKeyValuePairSeq[A] = seq[TKeyValuePair[A]]
-  TSet* {.final, myShallow.}[A] = object ## a generic hash set
+  TSet* {.final, myShallow.}[A] = object ## \
+    ## A generic hash set.
+    ##
+    ## Use `init() <#init,TSet[A],int>`_ or `initSet[type]() <#initSet>`_
+    ## before calling other procs on it.
     data: TKeyValuePairSeq[A]
     counter: int
 
+proc isValid*[A](s: TSet[A]): bool =
+  ## Returns `true` if the set has been initialized with `initSet <#initSet>`_.
+  ##
+  ## Most operations over an uninitialized set will crash at runtime and
+  ## `assert <system.html#assert>`_ in debug builds. You can use this proc in
+  ## your own procs to verify that sets passed to your procs are correctly
+  ## initialized. Example:
+  ##
+  ## .. code-block :: nimrod
+  ##   proc savePreferences(options: TSet[string]) =
+  ##     assert options.isValid, "Pass an initialized set!"
+  ##     # Do stuff here, may crash in release builds!
+  result = not s.data.isNil
+
 proc len*[A](s: TSet[A]): int =
-  ## returns the number of keys in `s`.
+  ## Returns the number of keys in `s`.
+  ##
+  ## Due to an implementation detail you can call this proc on variables which
+  ## have not been initialized yet. The proc will return zero as the length
+  ## then. Example:
+  ##
+  ## .. code-block::
+  ##
+  ##   var values: TSet[int]
+  ##   assert(not values.isValid)
+  ##   assert values.len == 0
   result = s.counter
 
 proc card*[A](s: TSet[A]): int =
-  ## alias for `len`.
+  ## Alias for `len() <#len,TSet[A]>`_.
+  ##
+  ## Card stands for the `cardinality
+  ## <http://en.wikipedia.org/wiki/Cardinality>`_ of a set.
   result = s.counter
 
 iterator items*[A](s: TSet[A]): A =
-  ## iterates over any key in the table `t`.
+  ## Iterates over keys in the set `s`.
+  ##
+  ## If you need a sequence with the keys you can use `sequtils.toSeq()
+  ## <sequtils.html#toSeq>`_ on the iterator. Usage example:
+  ##
+  ## .. code-block::
+  ##   type
+  ##     pair = tuple[a, b: int]
+  ##   var
+  ##     a, b = initSet[pair]()
+  ##   a.incl((2, 3))
+  ##   a.incl((3, 2))
+  ##   a.incl((2, 3))
+  ##   for x, y in a.items:
+  ##     b.incl((x - 2, y + 1))
+  ##   assert a.len == 2
+  ##   echo b
+  ##   # --> {(a: 1, b: 3), (a: 0, b: 4)}
+  assert s.isValid, "The set needs to be initialized."
   for h in 0..high(s.data):
     if s.data[h].slot == seFilled: yield s.data[h].key
 
@@ -73,12 +126,24 @@ proc mget*[A](s: var TSet[A], key: A): var A =
   ## value as 'key' or raises the ``EInvalidKey`` exception. This is useful
   ## when one overloaded 'hash' and '==' but still needs reference semantics
   ## for sharing.
+  assert s.isValid, "The set needs to be initialized."
   var index = rawGet(s, key)
   if index >= 0: result = t.data[index].key
   else: raise newException(EInvalidKey, "key not found: " & $key)
 
 proc contains*[A](s: TSet[A], key: A): bool =
-  ## returns true iff `key` is in `s`.
+  ## Returns true iff `key` is in `s`.
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   var values = initSet[int]()
+  ##   assert(not values.contains(2))
+  ##   values.incl(2)
+  ##   assert values.contains(2)
+  ##   values.excl(2)
+  ##   assert(not values.contains(2))
+  assert s.isValid, "The set needs to be initialized."
   var index = rawGet(s, key)
   result = index >= 0
 
@@ -109,38 +174,124 @@ template containsOrInclImpl() {.dirty.} =
     inc(s.counter)
 
 proc incl*[A](s: var TSet[A], key: A) =
-  ## includes an element `key` in `s`.
+  ## Includes an element `key` in `s`.
+  ##
+  ## This doesn't do anything if `key` is already in `s`. Example:
+  ##
+  ## .. code-block::
+  ##   var values = initSet[int]()
+  ##   values.incl(2)
+  ##   values.incl(2)
+  ##   assert values.len == 1
+  assert s.isValid, "The set needs to be initialized."
   inclImpl()
 
 proc incl*[A](s: var TSet[A], other: TSet[A]) =
-  ## includes everything in `other` in `s`
+  ## Includes all elements from `other` into `s`.
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   var values = initSet[int]()
+  ##   values.incl(2)
+  ##   var others = toSet([6, 7])
+  ##   values.incl(others)
+  ##   assert values.len == 3
+  assert s.isValid, "The set `s` needs to be initialized."
+  assert other.isValid, "The set `other` needs to be initialized."
   for item in other: incl(s, item)
 
 proc excl*[A](s: var TSet[A], key: A) =
-  ## excludes `key` from the set `s`.
+  ## Excludes `key` from the set `s`.
+  ##
+  ## This doesn't do anything if `key` is not found in `s`. Example:
+  ##
+  ## .. code-block::
+  ##   var s = toSet([2, 3, 6, 7])
+  ##   s.excl(2)
+  ##   s.excl(2)
+  ##   assert s.len == 3
+  assert s.isValid, "The set needs to be initialized."
   var index = rawGet(s, key)
   if index >= 0:
     s.data[index].slot = seDeleted
     dec(s.counter)
 
 proc excl*[A](s: var TSet[A], other: TSet[A]) =
-  ## excludes everything in `other` from `s`.
+  ## Excludes everything in `other` from `s`.
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   var
+  ##     numbers = toSet([1, 2, 3, 4, 5])
+  ##     even = toSet([2, 4, 6, 8])
+  ##   numbers.excl(even)
+  ##   echo numbers
+  ##   # --> {1, 3, 5}
+  assert s.isValid, "The set `s` needs to be initialized."
+  assert other.isValid, "The set `other` needs to be initialized."
   for item in other: excl(s, item)
 
 proc containsOrIncl*[A](s: var TSet[A], key: A): bool =
-  ## returns true if `s` contains `key`, otherwise `key` is included in `s`
-  ## and false is returned.
+  ## Includes `key` in the set `s` and tells if `key` was added to `s`.
+  ##
+  ## The difference with regards to the `incl() <#incl,TSet[A],A>`_ proc is
+  ## that this proc returns `true` if `key` was already present in `s`. The
+  ## proc will return false if `key` was added as a new value to `s` during
+  ## this call. Example:
+  ##
+  ## .. code-block::
+  ##   var values = initSet[int]()
+  ##   assert values.containsOrIncl(2) == false
+  ##   assert values.containsOrIncl(2) == true
+  assert s.isValid, "The set needs to be initialized."
   containsOrInclImpl()
 
-proc initSet*[A](initialSize=64): TSet[A] =
-  ## creates a new hash set that is empty. `initialSize` needs to be
-  ## a power of two.
+proc init*[A](s: var TSet[A], initialSize=64) =
+  ## Initializes a hash set.
+  ##
+  ## The `initialSize` parameter needs to be a power of too. You can use
+  ## `math.nextPowerOfTwo() <math.html#nextPowerOfTwo>`_ to guarantee that at
+  ## runtime. All set variables have to be initialized before you can use them
+  ## with other procs from this module with the exception of `isValid()
+  ## <#isValid,TSet[A]>`_ and `len() <#len,TSet[A]>`_.
+  ##
+  ## You can call this proc on a previously initialized hash set, which will
+  ## discard all its values. This might be more convenient than iterating over
+  ## existing values and calling `excl() <#excl,TSet[A],A>`_ on them. Example:
+  ##
+  ## .. code-block ::
+  ##   var a: TSet[int]
+  ##   a.init(4)
+  ##   a.incl(2)
+  ##   a.init
+  ##   assert a.len == 0 and a.isValid
   assert isPowerOfTwo(initialSize)
-  result.counter = 0
-  newSeq(result.data, initialSize)
+  s.counter = 0
+  newSeq(s.data, initialSize)
+
+proc initSet*[A](initialSize=64): TSet[A] =
+  ## Wrapper around `init() <#init,TSet[A],int>`_ for initialization of hash
+  ## sets.
+  ##
+  ## Returns an empty hash set you can assign directly in ``var`` blocks in a
+  ## single line. Example:
+  ##
+  ## .. code-block ::
+  ##   var a = initSet[int](4)
+  ##   a.incl(2)
+  result.init(initialSize)
 
 proc toSet*[A](keys: openArray[A]): TSet[A] =
-  ## creates a new hash set that contains the given `keys`.
+  ## Creates a new hash set that contains the given `keys`.
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   var numbers = toSet([1, 2, 3, 4, 5])
+  ##   assert numbers.contains(2)
+  ##   assert numbers.contains(4)
   result = initSet[A](nextPowerOfTwo(keys.len+10))
   for key in items(keys): result.incl(key)
 
@@ -152,57 +303,190 @@ template dollarImpl(): stmt {.dirty.} =
   result.add("}")
 
 proc `$`*[A](s: TSet[A]): string =
-  ## The `$` operator for hash sets.
+  ## Converts the set `s` to a string, mostly for logging purposes.
+  ##
+  ## Don't use this proc for serialization, the representation may change at
+  ## any moment and values are not escaped. Example:
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   echo toSet([2, 4, 5])
+  ##   # --> {2, 4, 5}
+  ##   echo toSet(["no", "esc'aping", "is \" provided"])
+  ##   # --> {no, esc'aping, is " provided}
+  assert s.isValid, "The set needs to be initialized."
   dollarImpl()
 
 proc union*[A](s1, s2: TSet[A]): TSet[A] =
-  ## returns a new set of all items that are contained in at
-  ## least one of `s1` and `s2`
+  ## Returns the union of the sets `s1` and `s2`.
+  ##
+  ## The union of two sets is represented mathematically as *A ∪ B* and is the
+  ## set of all objects that are members of `s1`, `s2` or both. Example:
+  ##
+  ## .. code-block::
+  ##   var
+  ##     a = toSet(["a", "b"])
+  ##     b = toSet(["b", "c"])
+  ##     c = union(a, b)
+  ##   assert c == toSet(["a", "b", "c"])
+  assert s1.isValid, "The set `s1` needs to be initialized."
+  assert s2.isValid, "The set `s2` needs to be initialized."
   result = s1
   incl(result, s2)
 
 proc intersection*[A](s1, s2: TSet[A]): TSet[A] =
-  ## returns a new set of all items that are contained in both `s1` and `s2`
+  ## Returns the intersection of the sets `s1` and `s2`.
+  ##
+  ## The intersection of two sets is represented mathematically as *A ∩ B* and
+  ## is the set of all objects that are members of `s1` and `s2` at the same
+  ## time. Example:
+  ##
+  ## .. code-block::
+  ##   var
+  ##     a = toSet(["a", "b"])
+  ##     b = toSet(["b", "c"])
+  ##     c = intersection(a, b)
+  ##   assert c == toSet(["b"])
+  assert s1.isValid, "The set `s1` needs to be initialized."
+  assert s2.isValid, "The set `s2` needs to be initialized."
   result = initSet[A](min(s1.data.len, s2.data.len))
   for item in s1:
     if item in s2: incl(result, item)
 
 proc difference*[A](s1, s2: TSet[A]): TSet[A] =
-  ## returns a new set of all items that are contained in `s1`, but not in `s2`
+  ## Returns the difference of the sets `s1` and `s2`.
+  ##
+  ## The difference of two sets is represented mathematically as *A \ B* and is
+  ## the set of all objects that are members of `s1` and not members of `s2`.
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   var
+  ##     a = toSet(["a", "b"])
+  ##     b = toSet(["b", "c"])
+  ##     c = difference(a, b)
+  ##   assert c == toSet(["a"])
+  assert s1.isValid, "The set `s1` needs to be initialized."
+  assert s2.isValid, "The set `s2` needs to be initialized."
   result = initSet[A]()
   for item in s1:
     if not contains(s2, item):
       incl(result, item)
 
 proc symmetricDifference*[A](s1, s2: TSet[A]): TSet[A] =
-  ## returns a new set of all items that are contained in either
-  ## `s1` or `s2`, but not both
+  ## Returns the symmetric difference of the sets `s1` and `s2`.
+  ##
+  ## The symmetric difference of two sets is represented mathematically as *A △
+  ## B* or *A ⊖ B* and is the set of all objects that are members of `s1` or
+  ## `s2` but not both at the same time. Example:
+  ##
+  ## .. code-block::
+  ##   var
+  ##     a = toSet(["a", "b"])
+  ##     b = toSet(["b", "c"])
+  ##     c = symmetricDifference(a, b)
+  ##   assert c == toSet(["a", "c"])
+  assert s1.isValid, "The set `s1` needs to be initialized."
+  assert s2.isValid, "The set `s2` needs to be initialized."
   result = s1
   for item in s2:
     if containsOrIncl(result, item): excl(result, item)
 
 proc `+`*[A](s1, s2: TSet[A]): TSet[A] {.inline.} =
-  ## alias for `union`
+  ## Alias for `union(s1, s2) <#union>`_.
   result = union(s1, s2)
 
 proc `*`*[A](s1, s2: TSet[A]): TSet[A] {.inline.} =
-  ## alias for `intersection`
+  ## Alias for `intersection(s1, s2) <#intersection>`_.
   result = intersection(s1, s2)
 
 proc `-`*[A](s1, s2: TSet[A]): TSet[A] {.inline.} =
-  ## alias for `difference`
+  ## Alias for `difference(s1, s2) <#difference>`_.
   result = difference(s1, s2)
 
 proc `-+-`*[A](s1, s2: TSet[A]): TSet[A] {.inline.} =
-  ## alias for `symmetricDifference`
+  ## Alias for `symmetricDifference(s1, s2) <#symmetricDifference>`_.
   result = symmetricDifference(s1, s2)
 
 proc disjoint*[A](s1, s2: TSet[A]): bool =
-  ## returns true iff `s1` and `s2` have no items in common
+  ## Returns true iff the sets `s1` and `s2` have no items in common.
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   var
+  ##     a = toSet(["a", "b"])
+  ##     b = toSet(["b", "c"])
+  ##   assert disjoint(a, b) == false
+  ##   assert disjoint(a, b - a) == true
+  assert s1.isValid, "The set `s1` needs to be initialized."
+  assert s2.isValid, "The set `s2` needs to be initialized."
   for item in s1:
     if item in s2: return false
   return true
 
+proc `<`*[A](s, t: TSet[A]): bool =
+  ## Returns true if `s` is a strict or proper subset of `t`.
+  ##
+  ## A strict or proper subset `s` has all of its members in `t` but `t` has
+  ## more elements than `s`. Example:
+  ##
+  ## .. code-block::
+  ##   var
+  ##     a = toSet(["a", "b"])
+  ##     b = toSet(["b", "c"])
+  ##     c = intersection(a, b)
+  ##   assert c < a and c < b
+  ##   assert((a < a) == false)
+  s.counter != t.counter and s <= t
+
+proc `<=`*[A](s, t: TSet[A]): bool =
+  ## Returns true if `s` is subset of `t`.
+  ##
+  ## A subset `s` has all of its members in `t` and `t` doesn't necessarily
+  ## have more members than `s`. That is, `s` can be equal to `t`. Example:
+  ##
+  ## .. code-block::
+  ##   var
+  ##     a = toSet(["a", "b"])
+  ##     b = toSet(["b", "c"])
+  ##     c = intersection(a, b)
+  ##   assert c <= a and c <= b
+  ##   assert((a <= a))
+  result = false
+  if s.counter > t.counter: return
+  result = true
+  for item in s:
+    if not(t.contains(item)):
+      result = false
+      return
+
+proc `==`*[A](s, t: TSet[A]): bool =
+  ## Returns true if both `s` and `t` have the same members and set size.
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   var
+  ##     a = toSet([1, 2])
+  ##     b = toSet([1])
+  ##   b.incl(2)
+  ##   assert a == b
+  s.counter == t.counter and s <= t
+
+proc map*[A, B](data: TSet[A], op: proc (x: A): B {.closure.}): TSet[B] =
+  ## Returns a new set after applying `op` on each of the elements of `data`.
+  ##
+  ## You can use this proc to transform the elements from a set. Example:
+  ##
+  ## .. code-block::
+  ##   var a = toSet([1, 2, 3])
+  ##   var b = a.map(proc (x: int): string = $x)
+  ##   assert b == toSet(["1", "2", "3"])
+  result = initSet[B]()
+  for item in data: result.incl(op(item))
+
 # ------------------------------ ordered set ------------------------------
 
 type
@@ -210,16 +494,48 @@ type
     slot: TSlotEnum, next: int, key: A]
   TOrderedKeyValuePairSeq[A] = seq[TOrderedKeyValuePair[A]]
   TOrderedSet* {.
-      final, myShallow.}[A] = object ## set that remembers insertion order
+      final, myShallow.}[A] = object ## \
+    ## A generic hash set that remembers insertion order.
+    ##
+    ## Use `init() <#init,TOrderedSet[A],int>`_ or `initOrderedSet[type]()
+    ## <#initOrderedSet>`_ before calling other procs on it.
     data: TOrderedKeyValuePairSeq[A]
     counter, first, last: int
 
+proc isValid*[A](s: TOrderedSet[A]): bool =
+  ## Returns `true` if the ordered set has been initialized with `initSet
+  ## <#initOrderedSet>`_.
+  ##
+  ## Most operations over an uninitialized ordered set will crash at runtime
+  ## and `assert <system.html#assert>`_ in debug builds. You can use this proc
+  ## in your own procs to verify that ordered sets passed to your procs are
+  ## correctly initialized. Example:
+  ##
+  ## .. code-block :: nimrod
+  ##   proc saveTarotCards(cards: TOrderedSet[int]) =
+  ##     assert cards.isValid, "Pass an initialized set!"
+  ##     # Do stuff here, may crash in release builds!
+  result = not s.data.isNil
+
 proc len*[A](s: TOrderedSet[A]): int {.inline.} =
-  ## returns the number of keys in `s`.
+  ## Returns the number of keys in `s`.
+  ##
+  ## Due to an implementation detail you can call this proc on variables which
+  ## have not been initialized yet. The proc will return zero as the length
+  ## then. Example:
+  ##
+  ## .. code-block::
+  ##
+  ##   var values: TOrderedSet[int]
+  ##   assert(not values.isValid)
+  ##   assert values.len == 0
   result = s.counter
 
 proc card*[A](s: TOrderedSet[A]): int {.inline.} =
-  ## alias for `len`.
+  ## Alias for `len() <#len,TOrderedSet[A]>`_.
+  ##
+  ## Card stands for the `cardinality
+  ## <http://en.wikipedia.org/wiki/Cardinality>`_ of a set.
   result = s.counter
 
 template forAllOrderedPairs(yieldStmt: stmt) {.dirty, immediate.} =
@@ -230,7 +546,24 @@ template forAllOrderedPairs(yieldStmt: stmt) {.dirty, immediate.} =
     h = nxt
 
 iterator items*[A](s: TOrderedSet[A]): A =
-  ## iterates over any key in the set `s` in insertion order.
+  ## Iterates over keys in the ordered set `s` in insertion order.
+  ##
+  ## If you need a sequence with the keys you can use `sequtils.toSeq()
+  ## <sequtils.html#toSeq>`_ on the iterator. Usage example:
+  ##
+  ## .. code-block::
+  ##   var a = initOrderedSet[int]()
+  ##   for value in [9, 2, 1, 5, 1, 8, 4, 2]:
+  ##     a.incl(value)
+  ##   for value in a.items:
+  ##     echo "Got ", value
+  ##   # --> Got 9
+  ##   # --> Got 2
+  ##   # --> Got 1
+  ##   # --> Got 5
+  ##   # --> Got 8
+  ##   # --> Got 4
+  assert s.isValid, "The set needs to be initialized."
   forAllOrderedPairs:
     yield s.data[h].key
 
@@ -238,7 +571,16 @@ proc rawGet[A](s: TOrderedSet[A], key: A): int =
   rawGetImpl()
 
 proc contains*[A](s: TOrderedSet[A], key: A): bool =
-  ## returns true iff `key` is in `s`.
+  ## Returns true iff `key` is in `s`.
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   var values = initOrderedSet[int]()
+  ##   assert(not values.contains(2))
+  ##   values.incl(2)
+  ##   assert values.contains(2)
+  assert s.isValid, "The set needs to be initialized."
   var index = rawGet(s, key)
   result = index >= 0
 
@@ -264,53 +606,279 @@ proc enlarge[A](s: var TOrderedSet[A]) =
   swap(s.data, n)
 
 proc incl*[A](s: var TOrderedSet[A], key: A) =
-  ## includes an element `key` in `s`.
+  ## Includes an element `key` in `s`.
+  ##
+  ## This doesn't do anything if `key` is already in `s`. Example:
+  ##
+  ## .. code-block::
+  ##   var values = initOrderedSet[int]()
+  ##   values.incl(2)
+  ##   values.incl(2)
+  ##   assert values.len == 1
+  assert s.isValid, "The set needs to be initialized."
   inclImpl()
 
 proc incl*[A](s: var TSet[A], other: TOrderedSet[A]) =
-  ## includes everything in `other` in `s`
+  ## Includes all elements from `other` into `s`.
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   var values = initOrderedSet[int]()
+  ##   values.incl(2)
+  ##   var others = toOrderedSet([6, 7])
+  ##   values.incl(others)
+  ##   assert values.len == 3
+  assert s.isValid, "The set `s` needs to be initialized."
+  assert other.isValid, "The set `other` needs to be initialized."
   for item in other: incl(s, item)
 
 proc containsOrIncl*[A](s: var TOrderedSet[A], key: A): bool =
-  ## returns true if `s` contains `key`, otherwise `key` is included in `s`
-  ## and false is returned.
+  ## Includes `key` in the set `s` and tells if `key` was added to `s`.
+  ##
+  ## The difference with regards to the `incl() <#incl,TOrderedSet[A],A>`_ proc
+  ## is that this proc returns `true` if `key` was already present in `s`. The
+  ## proc will return false if `key` was added as a new value to `s` during
+  ## this call. Example:
+  ##
+  ## .. code-block::
+  ##   var values = initOrderedSet[int]()
+  ##   assert values.containsOrIncl(2) == false
+  ##   assert values.containsOrIncl(2) == true
+  assert s.isValid, "The set needs to be initialized."
   containsOrInclImpl()
 
-proc initOrderedSet*[A](initialSize=64): TOrderedSet[A] =
-  ## creates a new ordered hash set that is empty. `initialSize` needs to be
-  ## a power of two.
+proc init*[A](s: var TOrderedSet[A], initialSize=64) =
+  ## Initializes an ordered hash set.
+  ##
+  ## The `initialSize` parameter needs to be a power of too. You can use
+  ## `math.nextPowerOfTwo() <math.html#nextPowerOfTwo>`_ to guarantee that at
+  ## runtime. All set variables have to be initialized before you can use them
+  ## with other procs from this module with the exception of `isValid()
+  ## <#isValid,TOrderedSet[A]>`_ and `len() <#len,TOrderedSet[A]>`_.
+  ##
+  ## You can call this proc on a previously initialized ordered hash set to
+  ## discard its values. At the moment this is the only proc to remove elements
+  ## from an ordered hash set. Example:
+  ##
+  ## .. code-block ::
+  ##   var a: TOrderedSet[int]
+  ##   a.init(4)
+  ##   a.incl(2)
+  ##   a.init
+  ##   assert a.len == 0 and a.isValid
   assert isPowerOfTwo(initialSize)
-  result.counter = 0
-  result.first = -1
-  result.last = -1
-  newSeq(result.data, initialSize)
+  s.counter = 0
+  s.first = -1
+  s.last = -1
+  newSeq(s.data, initialSize)
+
+proc initOrderedSet*[A](initialSize=64): TOrderedSet[A] =
+  ## Wrapper around `init() <#init,TOrderedSet[A],int>`_ for initialization of
+  ## ordered hash sets.
+  ##
+  ## Returns an empty ordered hash set you can assign directly in ``var``
+  ## blocks in a single line. Example:
+  ##
+  ## .. code-block ::
+  ##   var a = initOrderedSet[int](4)
+  ##   a.incl(2)
+  result.init(initialSize)
 
 proc toOrderedSet*[A](keys: openArray[A]): TOrderedSet[A] =
-  ## creates a new ordered hash set that contains the given `keys`.
+  ## Creates a new ordered hash set that contains the given `keys`.
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   var numbers = toOrderedSet([1, 2, 3, 4, 5])
+  ##   assert numbers.contains(2)
+  ##   assert numbers.contains(4)
   result = initOrderedSet[A](nextPowerOfTwo(keys.len+10))
   for key in items(keys): result.incl(key)
 
 proc `$`*[A](s: TOrderedSet[A]): string =
-  ## The `$` operator for ordered hash sets.
+  ## Converts the ordered hash set `s` to a string, mostly for logging purposes.
+  ##
+  ## Don't use this proc for serialization, the representation may change at
+  ## any moment and values are not escaped. Example:
+  ##
+  ## Example:
+  ##
+  ## .. code-block::
+  ##   echo toOrderedSet([2, 4, 5])
+  ##   # --> {2, 4, 5}
+  ##   echo toOrderedSet(["no", "esc'aping", "is \" provided"])
+  ##   # --> {no, esc'aping, is " provided}
+  assert s.isValid, "The set needs to be initialized."
   dollarImpl()
 
-proc `<`*[A](s, t: TSet[A]): bool =
-  ## Is s a strict subset of t?
-  s.counter != t.counter and s <= t
-
-proc `<=`*[A](s, t: TSet[A]): bool =
-  ## Is s a subset of t?
-  result = false
-  if s.counter > t.counter: return
-  result = true
-  for item in s:
-    if not(t.contains(item)):
-      result = false
-      return
-      
-proc `==`*[A](s, t: TSet[A]): bool =
-  s.counter == t.counter and s <= t
-
-proc map*[A, B](data: TSet[A], op: proc (x: A): B {.closure.}): TSet[B] =
-  result = initSet[B]()
-  for item in data: result.incl(op(item))
+proc testModule() =
+  ## Internal micro test to validate docstrings and such.
+  block isValidTest:
+    var options: TSet[string]
+    proc savePreferences(options: TSet[string]) =
+      assert options.isValid, "Pass an initialized set!"
+    options = initSet[string]()
+    options.savePreferences
+
+  block lenTest:
+    var values: TSet[int]
+    assert(not values.isValid)
+    assert values.len == 0
+    assert values.card == 0
+
+  block setIterator:
+    type pair = tuple[a, b: int]
+    var a, b = initSet[pair]()
+    a.incl((2, 3))
+    a.incl((3, 2))
+    a.incl((2, 3))
+    for x, y in a.items:
+      b.incl((x - 2, y + 1))
+    assert a.len == b.card
+    assert a.len == 2
+    #echo b
+
+  block setContains:
+    var values = initSet[int]()
+    assert(not values.contains(2))
+    values.incl(2)
+    assert values.contains(2)
+    values.excl(2)
+    assert(not values.contains(2))
+
+    values.incl(4)
+    var others = toSet([6, 7])
+    values.incl(others)
+    assert values.len == 3
+
+    values.init
+    assert values.containsOrIncl(2) == false
+    assert values.containsOrIncl(2) == true
+    var
+      a = toSet([1, 2])
+      b = toSet([1])
+    b.incl(2)
+    assert a == b
+
+  block exclusions:
+    var s = toSet([2, 3, 6, 7])
+    s.excl(2)
+    s.excl(2)
+    assert s.len == 3
+
+    var
+      numbers = toSet([1, 2, 3, 4, 5])
+      even = toSet([2, 4, 6, 8])
+    numbers.excl(even)
+    #echo numbers
+    # --> {1, 3, 5}
+
+  block toSeqAndString:
+    var a = toSet([2, 4, 5])
+    var b = initSet[int]()
+    for x in [2, 4, 5]: b.incl(x)
+    assert($a == $b)
+    #echo a
+    #echo toSet(["no", "esc'aping", "is \" provided"])
+
+  #block orderedToSeqAndString:
+  #  echo toOrderedSet([2, 4, 5])
+  #  echo toOrderedSet(["no", "esc'aping", "is \" provided"])
+
+  block setOperations:
+    var
+      a = toSet(["a", "b"])
+      b = toSet(["b", "c"])
+      c = union(a, b)
+    assert c == toSet(["a", "b", "c"])
+    var d = intersection(a, b)
+    assert d == toSet(["b"])
+    var e = difference(a, b)
+    assert e == toSet(["a"])
+    var f = symmetricDifference(a, b)
+    assert f == toSet(["a", "c"])
+    assert d < a and d < b
+    assert((a < a) == false)
+    assert d <= a and d <= b
+    assert((a <= a))
+    # Alias test.
+    assert a + b == toSet(["a", "b", "c"])
+    assert a * b == toSet(["b"])
+    assert a - b == toSet(["a"])
+    assert a -+- b == toSet(["a", "c"])
+    assert disjoint(a, b) == false
+    assert disjoint(a, b - a) == true
+
+  block mapSet:
+    var a = toSet([1, 2, 3])
+    var b = a.map(proc (x: int): string = $x)
+    assert b == toSet(["1", "2", "3"])
+
+  block isValidTest:
+    var cards: TOrderedSet[string]
+    proc saveTarotCards(cards: TOrderedSet[string]) =
+      assert cards.isValid, "Pass an initialized set!"
+    cards = initOrderedSet[string]()
+    cards.saveTarotCards
+
+  block lenTest:
+    var values: TOrderedSet[int]
+    assert(not values.isValid)
+    assert values.len == 0
+    assert values.card == 0
+
+  block setIterator:
+    type pair = tuple[a, b: int]
+    var a, b = initOrderedSet[pair]()
+    a.incl((2, 3))
+    a.incl((3, 2))
+    a.incl((2, 3))
+    for x, y in a.items:
+      b.incl((x - 2, y + 1))
+    assert a.len == b.card
+    assert a.len == 2
+
+  #block orderedSetIterator:
+  #  var a = initOrderedSet[int]()
+  #  for value in [9, 2, 1, 5, 1, 8, 4, 2]:
+  #    a.incl(value)
+  #  for value in a.items:
+  #    echo "Got ", value
+
+  block setContains:
+    var values = initOrderedSet[int]()
+    assert(not values.contains(2))
+    values.incl(2)
+    assert values.contains(2)
+
+  block toSeqAndString:
+    var a = toOrderedSet([2, 4, 5])
+    var b = initOrderedSet[int]()
+    for x in [2, 4, 5]: b.incl(x)
+    assert($a == $b)
+    # assert(a == b) # https://github.com/Araq/Nimrod/issues/1413
+
+  block initBlocks:
+    var a: TOrderedSet[int]
+    a.init(4)
+    a.incl(2)
+    a.init
+    assert a.len == 0 and a.isValid
+    a = initOrderedSet[int](4)
+    a.incl(2)
+    assert a.len == 1
+
+    var b: TSet[int]
+    b.init(4)
+    b.incl(2)
+    b.init
+    assert b.len == 0 and b.isValid
+    b = initSet[int](4)
+    b.incl(2)
+    assert b.len == 1
+
+  echo "Micro tests run successfully."
+
+when isMainModule and not defined(release): testModule()