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33 lines
1.3 KiB
Plaintext
33 lines
1.3 KiB
Plaintext
// Returns a pair with the value and the new map
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BBT.got
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: ∀(K: *)
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∀(V: *)
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∀(cmp: ∀(a: K) ∀(b: K) Cmp)
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∀(key: K)
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∀(map: (BBT K V))
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(Pair (Maybe V) (BBT K V))
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= λK λV λcmp λkey λmap
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let P = λx(Pair (Maybe V) (BBT K V))
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let bin = λsize λnext.key λnext.val λnext.lft λnext.rgt
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let P = λx ∀(cmp: ∀(a: K) ∀(b: K) Cmp) ∀(key: K) (Pair (Maybe V) (BBT K V))
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let ltn = λcmp λkey
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let new_pair = (BBT.got K V cmp key next.lft)
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let P = λx(Pair (Maybe V) (BBT K V))
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let new = λval λlft
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let map = (BBT.bin K V size next.key next.val lft next.rgt)
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(Pair.new (Maybe V) (BBT K V) val map)
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(~new_pair P new)
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let eql = λcmp λkey
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let map = (BBT.bin K V size next.key next.val next.lft next.rgt)
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(Pair.new (Maybe V) (BBT K V) (Maybe.some V next.val) map)
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let gtn = λcmp λkey
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let new_pair = (BBT.got K V cmp key next.rgt)
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let P = λx(Pair (Maybe V) (BBT K V))
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let new = λval λrgt
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let map = (BBT.bin K V size next.key next.val next.lft rgt)
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(Pair.new (Maybe V) (BBT K V) val map)
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(~new_pair P new)
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((~(cmp key next.key) P ltn eql gtn) cmp key)
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let tip = (Pair.new (Maybe V) (BBT K V) (Maybe.none V) (BBT.tip K V))
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(~map P bin tip)
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