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/- | ||
Copyright (c) 2023 Lean FRO, LLC. All rights reserved. | ||
Released under Apache 2.0 license as described in the file LICENSE. | ||
Authors: Joachim Breitner | ||
-/ | ||
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import Init.Data.Array | ||
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namespace Array | ||
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/-! | ||
This module contains utility functions involving Arrays that are useful in a few places | ||
of the lean code base, but too specialized to live in `Init.Data.Array`, which arguably | ||
is part of the public, user-facing standard library. | ||
-/ | ||
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/-- | ||
Given an array `a`, runs `f xᵢ xⱼ` for all `i < j`, removes those entries for which `f` returns | ||
`false` (and will subsequently skip pairs if one element is removed), and returns the array of | ||
remaining elements. | ||
This can be used to remove elements from an array where a “better” element, in some partial | ||
order, exists in the array. | ||
-/ | ||
def filterPairsM {m} [Monad m] {α} (a : Array α) (f : α → α → m (Bool × Bool)) : | ||
m (Array α) := do | ||
let mut removed := Array.mkArray a.size false | ||
let mut numRemoved := 0 | ||
for h1 : i in [:a.size] do for h2 : j in [i+1:a.size] do | ||
unless removed[i]! || removed[j]! do | ||
let xi := a[i]'h1.2 | ||
let xj := a[j]'h2.2 | ||
let (keepi, keepj) ← f xi xj | ||
unless keepi do | ||
numRemoved := numRemoved + 1 | ||
removed := removed.set! i true | ||
unless keepj do | ||
numRemoved := numRemoved + 1 | ||
removed := removed.set! j true | ||
let mut a' := Array.mkEmpty numRemoved | ||
for h : i in [:a.size] do | ||
unless removed[i]! do | ||
a' := a'.push (a[i]'h.2) | ||
return a' | ||
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end Array |
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