Files
lean4/tests/elab/float32.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

52 lines
1.3 KiB
Lean4

/-- info: 2.100000 -/
#guard_msgs in
#eval (2.1 : Float32)
/-- info: 3.200000 -/
#guard_msgs in
#eval (2.1 : Float32) + 1.1
/-- info: 0.900000 -/
#guard_msgs in
#eval (2.1 : Float32) - 1.2
def test1 : IO Unit := do
IO.println ((2 : Float32).sin);
IO.println ((2 : Float32).cos);
IO.println ((2 : Float32).sqrt);
IO.println ((2 : Float32) ^ (100 : Float32));
/--
info: 0.909297
-0.416147
1.414214
1267650600228229401496703205376.000000
-/
#guard_msgs in
#eval test1
/-- info: 0.909297 -/
#guard_msgs in
#eval (2 : Float32).sin.toFloat
/-- info: 0.909297 -/
#guard_msgs in
#eval (2 : Float).sin.toFloat32
/-- info: 1606938044258990275541962092341162602522202993782792835301376.000000 -/
#guard_msgs in
#eval (2 : Float32).toFloat ^ (200 : Float32).toFloat
#guard (Float32.ofInt (-1 : Int)).toBits == 0xBF800000
-- 2^24 + 1 is the smallest Nat that can't be represented exactly in FP32 but can in FP64;
-- There are 23 bits of mantissa and an implicit leading 1. Additionally, powers of
-- 2 (within range) are exactly representable in either format.
-- This shows that we are not accidentally representing Float32 with 64 bits;
#guard
let n := Int.pow 2 24
(Float.ofInt n) - (Float32.ofInt n).toFloat == 0
#guard
let n := Int.pow 2 24 + 1
(Float.ofInt n) - (Float32.ofInt n).toFloat != 0