108 lines
4.1 KiB
Text
108 lines
4.1 KiB
Text
/-
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Copyright (c) 2016 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Leonardo de Moura, Jeremy Avigad
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-/
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prelude
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import init.ordering init.meta.name init.meta.format
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meta_constant {u₁ u₂} rb_map : Type u₁ → Type u₂ → Type (max u₁ u₂ 1)
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namespace rb_map
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meta_constant mk_core {key : Type} (data : Type) : (key → key → ordering) → rb_map key data
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meta_constant size {key : Type} {data : Type} : rb_map key data → nat
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meta_constant insert {key : Type} {data : Type} : rb_map key data → key → data → rb_map key data
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meta_constant erase {key : Type} {data : Type} : rb_map key data → key → rb_map key data
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meta_constant contains {key : Type} {data : Type} : rb_map key data → key → bool
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meta_constant find {key : Type} {data : Type} : rb_map key data → key → option data
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meta_constant min {key : Type} {data : Type} : rb_map key data → option data
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meta_constant max {key : Type} {data : Type} : rb_map key data → option data
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meta_constant fold {key : Type} {data : Type} {A :Type} : rb_map key data → A → (key → data → A → A) → A
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attribute [inline]
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meta_definition mk (key : Type) [has_ordering key] (data : Type) : rb_map key data :=
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mk_core data has_ordering.cmp
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open list
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meta_definition of_list {key : Type} {data : Type} [has_ordering key] : list (key × data) → rb_map key data
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| [] := mk key data
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| ((k, v)::ls) := insert (of_list ls) k v
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end rb_map
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attribute [reducible]
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meta_definition nat_map (data : Type) := rb_map nat data
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namespace nat_map
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export rb_map (hiding mk)
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attribute [inline]
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meta_definition mk (data : Type) : nat_map data :=
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rb_map.mk nat data
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end nat_map
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attribute [reducible]
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meta_definition name_map (data : Type) := rb_map name data
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namespace name_map
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export rb_map (hiding mk)
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attribute [inline]
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meta_definition mk (data : Type) : name_map data :=
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rb_map.mk name data
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end name_map
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open rb_map prod
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section
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open format
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variables {key : Type} {data : Type} [has_to_format key] [has_to_format data]
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private meta_definition format_key_data (k : key) (d : data) (first : bool) : format :=
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(if first = tt then to_fmt "" else to_fmt "," ++ line) ++ to_fmt k ++ space ++ to_fmt "←" ++ space ++ to_fmt d
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attribute [instance]
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meta_definition rb_map_has_to_format : has_to_format (rb_map key data) :=
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has_to_format.mk (λ m,
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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)))) ++
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to_fmt "⟩"))
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end
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section
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variables {key : Type} {data : Type} [has_to_string key] [has_to_string data]
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private meta_definition key_data_to_string (k : key) (d : data) (first : bool) : string :=
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(if first = tt then "" else ", ") ++ to_string k ++ " ← " ++ to_string d
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attribute [instance]
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meta_definition rb_map_has_to_string : has_to_string (rb_map key data) :=
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has_to_string.mk (λ m,
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"⟨" ++ (fst (fold m ("", tt) (λ k d p, (fst p ++ key_data_to_string k d (snd p), ff)))) ++ "⟩")
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end
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/- a variant of rb_maps that stores a list of elements for each key.
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"find" returns the list of elements in the opposite order that they were inserted. -/
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meta_definition rb_lmap (key : Type) (data : Type) : Type := rb_map key (list data)
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namespace rb_lmap
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protected meta_definition mk (key : Type) [has_ordering key] (data : Type) : rb_lmap key data :=
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rb_map.mk key (list data)
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meta_definition insert {key : Type} {data : Type} (rbl : rb_lmap key data) (k : key) (d : data) :
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rb_lmap key data :=
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match (rb_map.find rbl k) with
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| none := rb_map.insert rbl k [d]
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| (some l) := rb_map.insert (rb_map.erase rbl k) k (d :: l)
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end
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meta_definition erase {key : Type} {data : Type} (rbl : rb_lmap key data) (k : key) :
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rb_lmap key data :=
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rb_map.erase rbl k
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meta_definition contains {key : Type} {data : Type} (rbl : rb_lmap key data) (k : key) : bool :=
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rb_map.contains rbl k
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meta_definition find {key : Type} {data : Type} (rbl : rb_lmap key data) (k : key) : list data :=
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match (rb_map.find rbl k) with
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| none := []
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| (some l) := l
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end
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end rb_lmap
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