This PR introduces a new fixpoint combinator, `WellFounded.extrinsicFix`. A termination proof, if provided at all, can be given extrinsically, i.e., looking at the term from the outside, and is only required if one intends to formally verify the behavior of the fixpoint. The new combinator is then applied to the iterator API. Consumers such as `toList` or `ForIn` no longer require a proof that the underlying iterator is finite. If one wants to ensure the termination of them intrinsically, there are strictly terminating variants available as, for example, `it.ensureTermination.toList` instead of `it.toList`.
179 lines
5.8 KiB
Text
179 lines
5.8 KiB
Text
import Lean.Data.PersistentHashMap
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import Std.Data.Iterators
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/-!
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Benchmark for the built-in `Lean.Data.PersistentHashMap`, inspired by:
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- https://github.com/google/hashtable-benchmarks
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- https://github.com/rust-lang/hashbrown/blob/master/benches/bench.rs
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all times reported are average times for the operation described in the name of the benchmark
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in nanoseconds.
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-/
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set_option compiler.extract_closed false
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structure RandomIterator where
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state : UInt64
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@[inline]
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def iterRandM (seed : UInt64) : Std.IterM (α := RandomIterator) m UInt64 :=
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{ internalState := RandomIterator.mk seed }
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@[inline]
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def iterRand (seed : UInt64) : Std.Iter (α := RandomIterator) UInt64 :=
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{ internalState := RandomIterator.mk seed }
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instance [Pure m] : Std.Iterators.Iterator RandomIterator m UInt64 where
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IsPlausibleStep it
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| .yield it' out => True -- fake it for now
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| .skip _ => False
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| .done => False
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step := fun ⟨it⟩ =>
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pure (.deflate ⟨.yield (iterRandM <| (it.state + (1 : UInt64)) * (3_787_392_781 : UInt64)) it.state, by trivial⟩)
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def mkMapWithCap (seed : UInt64) (size : Nat) : Lean.PersistentHashMap UInt64 UInt64 := Id.run do
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let mut map := Lean.PersistentHashMap.empty
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for val in iterRand seed |>.take size |>.allowNontermination do
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map := map.insert val val
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return map
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def timeNanos (reps : Nat) (x : IO Unit) : IO Float := do
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let startTime ← IO.monoNanosNow
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x
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let endTime ← IO.monoNanosNow
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return (endTime - startTime).toFloat / reps.toFloat
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def REP : Nat := 100
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/-
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Return the average time it takes to check that a phashmap `contains` an element that is contained.
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-/
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def benchContainsHit (seed : UInt64) (size : Nat) : IO Float := do
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let map := mkMapWithCap seed size
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let checks := size * REP
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timeNanos checks do
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let mut todo := checks
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while todo != 0 do
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for val in iterRand seed |>.take size |>.allowNontermination do
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if !map.contains val then
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throw <| .userError "Fail"
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todo := todo - size
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/-
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Return the average time it takes to check that a phashmap `contains` an element that is not contained.
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-/
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def benchContainsMiss (seed : UInt64) (size : Nat) : IO Float := do
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let map := mkMapWithCap seed size
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let checks := size * REP
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let iter := iterRand seed |>.drop size
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timeNanos checks do
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let mut todo := checks
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while todo != 0 do
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for val in iter |>.take size |>.allowNontermination do
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if map.contains val then
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throw <| .userError "Fail"
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todo := todo - size
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/-
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Return the average time it takes to read an element from a phashmap during iteration.
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-/
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def benchIterate (seed : UInt64) (size : Nat) : IO Float := do
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let map := mkMapWithCap seed size
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let checks := size * REP
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timeNanos checks do
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let mut todo := checks
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let mut sum := 0
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while todo != 0 do
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for (elem, _) in map do
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sum := sum + elem
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if sum == 0 then
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throw <| .userError "Fail"
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todo := todo - size
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/-
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Return the average time it takes to unconditionally `insert` (or rather, update) an element that is
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contained in the phashmap.
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-/
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def benchInsertHit (seed : UInt64) (size : Nat) : IO Float := do
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let map := mkMapWithCap seed size
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let checks := size * REP
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timeNanos checks do
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let mut todo := checks
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let mut map := map
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while todo != 0 do
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for val in iterRand seed |>.take size |>.allowNontermination do
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map := map.insert val val
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if map.isEmpty then
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throw <| .userError "Fail"
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todo := todo - size
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/--
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Return the average time it takes to `insert` a new element into a phashmap that might resize.
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-/
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def benchInsertMissEmpty (seed : UInt64) (size : Nat) : IO Float := do
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let checks := size * REP
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timeNanos checks do
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let mut todo := checks
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while todo != 0 do
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let mut map : Lean.PersistentHashMap _ _ := {}
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for val in iterRand seed |>.take size |>.allowNontermination do
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map := map.insert val val
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if map.isEmpty then
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throw <| .userError "Fail"
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todo := todo - size
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/--
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Return the average time it takes to `insert` a new element into a phashmap that might resize and is
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being used in a non linear fashion.
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-/
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def benchInsertMissEmptyShared (seed : UInt64) (size : Nat) : IO Float := do
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let checks := size * REP
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timeNanos checks do
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let mut todo := checks
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while todo != 0 do
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let mut map : Lean.PersistentHashMap _ _ := {}
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let mut maps := Array.emptyWithCapacity size
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for val in iterRand seed |>.take size |>.allowNontermination do
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map := map.insert val val
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if map.isEmpty then
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throw <| .userError "Fail"
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maps := maps.push map
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todo := todo - size
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if maps.size != size then
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throw <| .userError "Fail"
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/--
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Return the average time it takes to `erase` an existing and `insert` a new element into a phashmap.
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-/
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def benchEraseInsert (seed : UInt64) (size : Nat) : IO Float := do
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let map := mkMapWithCap seed size
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let checks := size * REP
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let eraseIter := iterRand seed
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let newIter := iterRand seed |>.drop size
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timeNanos checks do
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let mut map := map
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let mut todo := checks
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while todo != 0 do
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for (eraseVal, newVal) in eraseIter.zip newIter |>.take size |>.allowNontermination do
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map := map.erase eraseVal |>.insert newVal newVal
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if map.isEmpty then
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throw <| .userError "Fail"
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todo := todo - size
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def main (args : List String) : IO Unit := do
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let seed := args[0]!.toNat!.toUInt64
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let size := args[1]!.toNat!
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assert! size % REP == 0
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let benches := [
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("containsHit", benchContainsHit),
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("containsMiss", benchContainsMiss),
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("iterate", benchIterate),
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("insertHit", benchInsertHit),
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("insertMissEmpty", benchInsertMissEmpty),
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("insertMissEmptyShared", benchInsertMissEmptyShared),
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("eraseInsert", benchEraseInsert),
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]
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for (name, benchFunc) in benches do
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let time ← benchFunc seed size
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IO.println s!"{name}: {time}"
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