211 lines
7.6 KiB
Text
211 lines
7.6 KiB
Text
/-
|
||
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
|
||
Released under Apache 2.0 license as described in the file LICENSE.
|
||
Authors: Leonardo de Moura, Jeremy Avigad
|
||
-/
|
||
prelude
|
||
import init.data.ordering.basic init.function init.meta.name init.meta.format init.control.monad
|
||
|
||
open format
|
||
|
||
private meta def format_key {key} [has_to_format key] (k : key) (first : bool) : format :=
|
||
(if first then to_fmt "" else to_fmt "," ++ line) ++ to_fmt k
|
||
|
||
namespace native
|
||
meta constant {u₁ u₂} rb_map : Type u₁ → Type u₂ → Type (max u₁ u₂)
|
||
|
||
namespace rb_map
|
||
meta constant mk_core {key : Type} (data : Type) : (key → key → ordering) → rb_map key data
|
||
meta constant size {key : Type} {data : Type} : rb_map key data → nat
|
||
meta constant empty {key : Type} {data : Type} : rb_map key data → bool
|
||
meta constant insert {key : Type} {data : Type} : rb_map key data → key → data → rb_map key data
|
||
meta constant erase {key : Type} {data : Type} : rb_map key data → key → rb_map key data
|
||
meta constant contains {key : Type} {data : Type} : rb_map key data → key → bool
|
||
meta constant find {key : Type} {data : Type} : rb_map key data → key → option data
|
||
meta constant min {key : Type} {data : Type} : rb_map key data → option data
|
||
meta constant max {key : Type} {data : Type} : rb_map key data → option data
|
||
meta constant fold {key : Type} {data : Type} {α :Type} : rb_map key data → α → (key → data → α → α) → α
|
||
|
||
attribute [inline]
|
||
meta def mk (key : Type) [has_lt key] [decidable_rel ((<) : key → key → Prop)] (data : Type) : rb_map key data :=
|
||
mk_core data cmp
|
||
|
||
open list
|
||
|
||
section
|
||
variables {key data : Type}
|
||
|
||
meta def keys (m : rb_map key data) : list key :=
|
||
fold m [] (λk v ks, k :: ks)
|
||
|
||
meta def values {key : Type} {data : Type} (m : rb_map key data) : list data :=
|
||
fold m [] (λk v vs, v :: vs)
|
||
|
||
meta def to_list {key : Type} {data : Type} (m : rb_map key data) : list (key × data) :=
|
||
fold m [] (λk v res, (k, v) :: res)
|
||
|
||
meta def mfold {key data α :Type} {m : Type → Type} [monad m] (mp : rb_map key data) (a : α) (fn : key → data → α → m α) : m α :=
|
||
mp.fold (return a) (λ k d act, act >>= fn k d)
|
||
end
|
||
|
||
section
|
||
|
||
variables {key data data' : Type} [has_lt key] [decidable_rel ((<) : key → key → Prop)]
|
||
|
||
meta def of_list : list (key × data) → rb_map key data
|
||
| [] := mk key data
|
||
| ((k, v)::ls) := insert (of_list ls) k v
|
||
|
||
|
||
meta def set_of_list : list key → rb_map key unit
|
||
| [] := mk _ _
|
||
| (x::xs) := insert (set_of_list xs) x ()
|
||
|
||
meta def map (f : data → data') (m : rb_map key data) : rb_map key data' :=
|
||
fold m (mk _ _) (λk v res, insert res k (f v))
|
||
|
||
meta def for (m : rb_map key data) (f : data → data') : rb_map key data' :=
|
||
map f m
|
||
|
||
meta def filter (m : rb_map key data) (f : data → Prop) [decidable_pred f] :=
|
||
fold m (mk _ _) $ λa b m', if f b then insert m' a b else m'
|
||
|
||
end
|
||
|
||
end rb_map
|
||
|
||
meta def mk_rb_map {key data : Type} [has_lt key] [decidable_rel ((<) : key → key → Prop)] : rb_map key data :=
|
||
rb_map.mk key data
|
||
|
||
@[reducible] meta def nat_map (data : Type) := rb_map nat data
|
||
namespace nat_map
|
||
export rb_map (hiding mk)
|
||
|
||
meta def mk (data : Type) : nat_map data := rb_map.mk nat data
|
||
end nat_map
|
||
|
||
meta def mk_nat_map {data : Type} : nat_map data :=
|
||
nat_map.mk data
|
||
|
||
open rb_map prod
|
||
section
|
||
variables {key : Type} {data : Type} [has_to_format key] [has_to_format data]
|
||
private meta def format_key_data (k : key) (d : data) (first : bool) : format :=
|
||
(if first then to_fmt "" else to_fmt "," ++ line) ++ to_fmt k ++ space ++ to_fmt "←" ++ space ++ to_fmt d
|
||
|
||
meta instance : has_to_format (rb_map key data) :=
|
||
⟨λ m, group $ to_fmt "⟨" ++ nest 1 (fst (fold m (to_fmt "", tt) (λ k d p, (fst p ++ format_key_data k d (snd p), ff)))) ++
|
||
to_fmt "⟩"⟩
|
||
end
|
||
|
||
section
|
||
variables {key : Type} {data : Type} [has_to_string key] [has_to_string data]
|
||
private meta def key_data_to_string (k : key) (d : data) (first : bool) : string :=
|
||
(if first then "" else ", ") ++ to_string k ++ " ← " ++ to_string d
|
||
|
||
meta instance : has_to_string (rb_map key data) :=
|
||
⟨λ m, "⟨" ++ (fst (fold m ("", tt) (λ k d p, (fst p ++ key_data_to_string k d (snd p), ff)))) ++ "⟩"⟩
|
||
end
|
||
|
||
/-- a variant of rb_maps that stores a list of elements for each key.
|
||
`find` returns the list of elements in the opposite order that they were inserted. -/
|
||
meta def rb_lmap (key : Type) (data : Type) : Type := rb_map key (list data)
|
||
|
||
namespace rb_lmap
|
||
|
||
protected meta def mk (key : Type) [has_lt key] [decidable_rel ((<) : key → key → Prop)] (data : Type) : rb_lmap key data :=
|
||
rb_map.mk key (list data)
|
||
|
||
meta def insert {key : Type} {data : Type} (rbl : rb_lmap key data) (k : key) (d : data) :
|
||
rb_lmap key data :=
|
||
match (rb_map.find rbl k) with
|
||
| none := rb_map.insert rbl k [d]
|
||
| (some l) := rb_map.insert (rb_map.erase rbl k) k (d :: l)
|
||
end
|
||
|
||
meta def erase {key : Type} {data : Type} (rbl : rb_lmap key data) (k : key) :
|
||
rb_lmap key data :=
|
||
rb_map.erase rbl k
|
||
|
||
meta def contains {key : Type} {data : Type} (rbl : rb_lmap key data) (k : key) : bool :=
|
||
rb_map.contains rbl k
|
||
|
||
meta def find {key : Type} {data : Type} (rbl : rb_lmap key data) (k : key) : list data :=
|
||
match (rb_map.find rbl k) with
|
||
| none := []
|
||
| (some l) := l
|
||
end
|
||
|
||
end rb_lmap
|
||
|
||
meta def rb_set (key) := rb_map key unit
|
||
meta def mk_rb_set {key} [has_lt key] [decidable_rel ((<) : key → key → Prop)] : rb_set key :=
|
||
mk_rb_map
|
||
|
||
namespace rb_set
|
||
meta def insert {key} (s : rb_set key) (k : key) : rb_set key :=
|
||
rb_map.insert s k ()
|
||
|
||
meta def erase {key} (s : rb_set key) (k : key) : rb_set key :=
|
||
rb_map.erase s k
|
||
|
||
meta def contains {key} (s : rb_set key) (k : key) : bool :=
|
||
rb_map.contains s k
|
||
|
||
meta def size {key} (s : rb_set key) : nat :=
|
||
rb_map.size s
|
||
|
||
meta def empty {key : Type} (s : rb_set key) : bool :=
|
||
rb_map.empty s
|
||
|
||
meta def fold {key α : Type} (s : rb_set key) (a : α) (fn : key → α → α) : α :=
|
||
rb_map.fold s a (λ k _ a, fn k a)
|
||
|
||
meta def mfold {key α :Type} {m : Type → Type} [monad m] (s : rb_set key) (a : α) (fn : key → α → m α) : m α :=
|
||
s.fold (return a) (λ k act, act >>= fn k)
|
||
|
||
meta def to_list {key : Type} (s : rb_set key) : list key :=
|
||
s.fold [] list.cons
|
||
|
||
meta instance {key} [has_to_format key] : has_to_format (rb_set key) :=
|
||
⟨λ m, group $ to_fmt "{" ++ nest 1 (fst (fold m (to_fmt "", tt) (λ k p, (fst p ++ format_key k (snd p), ff)))) ++
|
||
to_fmt "}"⟩
|
||
end rb_set
|
||
end native
|
||
|
||
open native
|
||
@[reducible] meta def name_map (data : Type) := rb_map name data
|
||
namespace name_map
|
||
export native.rb_map (hiding mk)
|
||
|
||
meta def mk (data : Type) : name_map data := rb_map.mk_core data name.cmp
|
||
end name_map
|
||
|
||
meta def mk_name_map {data : Type} : name_map data :=
|
||
name_map.mk data
|
||
|
||
meta constant name_set : Type
|
||
meta constant mk_name_set : name_set
|
||
|
||
namespace name_set
|
||
meta constant insert : name_set → name → name_set
|
||
meta constant erase : name_set → name → name_set
|
||
meta constant contains : name_set → name → bool
|
||
meta constant size : name_set → nat
|
||
meta constant empty : name_set → bool
|
||
meta constant fold {α :Type} : name_set → α → (name → α → α) → α
|
||
|
||
meta def to_list (s : name_set) : list name :=
|
||
s.fold [] list.cons
|
||
|
||
meta instance : has_to_format name_set :=
|
||
⟨λ m, group $ to_fmt "{" ++ nest 1 (fold m (to_fmt "", tt) (λ k p, (p.1 ++ format_key k p.2, ff))).1 ++
|
||
to_fmt "}"⟩
|
||
|
||
meta def of_list (l : list name) : name_set :=
|
||
list.foldl name_set.insert mk_name_set l
|
||
|
||
meta def mfold {α :Type} {m : Type → Type} [monad m] (ns : name_set) (a : α) (fn : name → α → m α) : m α :=
|
||
ns.fold (return a) (λ k act, act >>= fn k)
|
||
|
||
end name_set
|