lean4-htt/tests/bench/binarytrees.st.lean
Paul Reichert 98e4b2882f
refactor: migrate to new ranges (#8841)
This PR migrates usages of `Std.Range` to the new polymorphic ranges.

This PR unfortunately increases the transitive imports for
frequently-used parts of `Init` because the ranges now rely on iterators
in order to provide their functionality for types other than `Nat`.
However, iteration over ranges in compiled code is as efficient as
before in the examples I checked. This is because of a special
`IteratorLoop` implementation provided in the PR for this purpose.

There were two issues that were uncovered during migration:

* In `IndPredBelow.lean`, migrating the last remaining range causes
`compilerTest1.lean` to break. I have minimized the issue and came to
the conclusion it's a compiler bug. Therefore, I have not replaced said
old range usage yet (see #9186).
* In `BRecOn.lean`, we are publicly importing the ranges. Making this
import private should theoretically work, but there seems to be a
problem with the module system, causing the build to panic later in
`Init.Data.Grind.Poly` (see #9185).
* In `FuzzyMatching.lean`, inlining fails with the new ranges, which
would have led to significant slowdown. Therefore, I have not migrated
this file either.
2025-07-07 12:41:53 +00:00

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import Std.Data.Iterators.Producers.Range
import Std.Data.Iterators.Combinators.StepSize
inductive Tree
| nil
| node (l r : Tree)
instance : Inhabited Tree := ⟨.nil⟩
-- This function has an extra argument to suppress the
-- common sub-expression elimination optimization
partial def make' (n d : UInt32) : Tree :=
if d = 0 then .node .nil .nil
else .node (make' n (d - 1)) (make' (n + 1) (d - 1))
-- build a tree
def make (d : UInt32) := make' d d
def check : Tree → UInt32
| .nil => 0
| .node l r => 1 + check l + check r
def minN := 4
def out (s : String) (n : Nat) (t : UInt32) : IO Unit :=
IO.println s!"{s} of depth {n}\t check: {t}"
-- allocate and check lots of trees
partial def sumT (d i t : UInt32) : UInt32 :=
if i = 0 then t
else
let a := check (make d)
sumT d (i-1) (t + a)
def main : List String → IO UInt32
| [s] => do
let n := s.toNat!
let maxN := Nat.max (minN + 2) n
let stretchN := maxN + 1
-- stretch memory tree
let c := check (make $ UInt32.ofNat stretchN)
out "stretch tree" stretchN c
-- allocate a long lived tree
let long := make $ UInt32.ofNat maxN
-- allocate, walk, and deallocate many bottom-up binary trees
for d in (minN...=maxN).iter.stepSize 2 do
let n := 2 ^ (maxN - d + minN)
let i := sumT (.ofNat d) (.ofNat n) 0
out s!"{n}\t trees" d i
-- confirm the long-lived binary tree still exists
out "long lived tree" maxN (check long)
return 0
| _ => return 1