lean4-htt/tests/elab/bv_popcount.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

57 lines
1.4 KiB
Text

import Std.Tactic.BVDecide
/-
This is based on: https://saw.galois.com/intro/IntroToSAW.html#the-code
-/
namespace Popcount
/-
int pop_spec(uint32_t x) {
uint32_t pop = 0;
uint32_t mask = 1;
for (int i = 0; i < 32; i++) {
if (x & mask) { pop++; }
mask = mask << 1;
}
return pop;
}
-/
def pop_spec (x : BitVec 32) : BitVec 32 := Id.run do
let mut pop : BitVec 32 := 0
let mut mask : BitVec 32 := 1
for _ in *...(32 : Nat) do
if (x &&& mask != 0) then
pop := pop + 1
mask := mask <<< 1
return pop
/-
We do currently not have nice support for if statements in the bit blaster and arguing about
monadic for loops is not nicely done as well, instead we will use a recursive version:
-/
def pop_spec' (x : BitVec 32) : BitVec 32 :=
go x 0 32
where
go (x : BitVec 32) (pop : BitVec 32) (i : Nat) : BitVec 32 :=
match i with
| 0 => pop
| i + 1 =>
let pop := pop + (x &&& 1)
go (x >>> 1) pop i
def optimized (x : BitVec 32) : BitVec 32 :=
let x := x - ((x >>> 1) &&& 0x55555555);
let x := (x &&& 0x33333333) + ((x >>> 2) &&& 0x33333333);
let x := (x + (x >>> 4)) &&& 0x0F0F0F0F;
let x := x + (x >>> 8);
let x := x + (x >>> 16);
x &&& 0x0000003F
example (x : BitVec 32) : pop_spec' x = optimized x := by
dsimp [pop_spec', pop_spec'.go, optimized]
bv_decide
end Popcount