diff options
Diffstat (limited to 'backends/lean/Base/Primitives.lean')
| -rw-r--r-- | backends/lean/Base/Primitives.lean | 89 |
1 files changed, 65 insertions, 24 deletions
diff --git a/backends/lean/Base/Primitives.lean b/backends/lean/Base/Primitives.lean index 14f5971e..6210688d 100644 --- a/backends/lean/Base/Primitives.lean +++ b/backends/lean/Base/Primitives.lean @@ -175,27 +175,28 @@ open System.Platform.getNumBits @[simp] def U128.min : Int := 0 @[simp] def U128.max : Int := HPow.hPow 2 128 - 1 -#assert (I8.min == -128) -#assert (I8.max == 127) -#assert (I16.min == -32768) -#assert (I16.max == 32767) -#assert (I32.min == -2147483648) -#assert (I32.max == 2147483647) -#assert (I64.min == -9223372036854775808) -#assert (I64.max == 9223372036854775807) -#assert (I128.min == -170141183460469231731687303715884105728) -#assert (I128.max == 170141183460469231731687303715884105727) -#assert (U8.min == 0) -#assert (U8.max == 255) -#assert (U16.min == 0) -#assert (U16.max == 65535) -#assert (U32.min == 0) -#assert (U32.max == 4294967295) -#assert (U64.min == 0) -#assert (U64.max == 18446744073709551615) -#assert (U128.min == 0) -#assert (U128.max == 340282366920938463463374607431768211455) - +-- The normalized bounds +@[simp] def I8.norm_min := -128 +@[simp] def I8.norm_max := 127 +@[simp] def I16.norm_min := -32768 +@[simp] def I16.norm_max := 32767 +@[simp] def I32.norm_min := -2147483648 +@[simp] def I32.norm_max := 2147483647 +@[simp] def I64.norm_min := -9223372036854775808 +@[simp] def I64.norm_max := 9223372036854775807 +@[simp] def I128.norm_min := -170141183460469231731687303715884105728 +@[simp] def I128.norm_max := 170141183460469231731687303715884105727 +@[simp] def U8.norm_min := 0 +@[simp] def U8.norm_max := 255 +@[simp] def U16.norm_min := 0 +@[simp] def U16.norm_max := 65535 +@[simp] def U32.norm_min := 0 +@[simp] def U32.norm_max := 4294967295 +@[simp] def U64.norm_min := 0 +@[simp] def U64.norm_max := 18446744073709551615 +@[simp] def U128.norm_min := 0 +@[simp] def U128.norm_max := 340282366920938463463374607431768211455 + inductive ScalarTy := | Isize | I8 @@ -240,6 +241,46 @@ def Scalar.max (ty : ScalarTy) : Int := | .U64 => U64.max | .U128 => U128.max +@[simp] def Scalar.norm_min (ty : ScalarTy) : Int := + match ty with + -- We can't normalize the bounds for isize/usize + | .Isize => Isize.min + | .Usize => Usize.min + -- + | .I8 => I8.norm_min + | .I16 => I16.norm_min + | .I32 => I32.norm_min + | .I64 => I64.norm_min + | .I128 => I128.norm_min + | .U8 => U8.norm_min + | .U16 => U16.norm_min + | .U32 => U32.norm_min + | .U64 => U64.norm_min + | .U128 => U128.norm_min + +@[simp] def Scalar.norm_max (ty : ScalarTy) : Int := + match ty with + -- We can't normalize the bounds for isize/usize + | .Isize => Isize.max + | .Usize => Usize.max + -- + | .I8 => I8.norm_max + | .I16 => I16.norm_max + | .I32 => I32.norm_max + | .I64 => I64.norm_max + | .I128 => I128.norm_max + | .U8 => U8.norm_max + | .U16 => U16.norm_max + | .U32 => U32.norm_max + | .U64 => U64.norm_max + | .U128 => U128.norm_max + +def Scalar.norm_min_eq (ty : ScalarTy) : Scalar.min ty = Scalar.norm_min ty := by + cases ty <;> rfl + +def Scalar.norm_max_eq (ty : ScalarTy) : Scalar.max ty = Scalar.norm_max ty := by + cases ty <;> rfl + -- "Conservative" bounds -- We use those because we can't compare to the isize bounds (which can't -- reduce at compile-time). Whenever we perform an arithmetic operation like @@ -249,13 +290,13 @@ def Scalar.max (ty : ScalarTy) : Int := -- type-checking time. def Scalar.cMin (ty : ScalarTy) : Int := match ty with - | .Isize => I32.min + | .Isize => Scalar.min .I32 | _ => Scalar.min ty def Scalar.cMax (ty : ScalarTy) : Int := match ty with - | .Isize => I32.max - | .Usize => U32.max + | .Isize => Scalar.max .I32 + | .Usize => Scalar.max .U32 | _ => Scalar.max ty theorem Scalar.cMin_bound ty : Scalar.min ty ≤ Scalar.cMin ty := by |