diff options
Diffstat (limited to 'backend/SelectDiv.vp')
-rw-r--r-- | backend/SelectDiv.vp | 36 |
1 files changed, 35 insertions, 1 deletions
diff --git a/backend/SelectDiv.vp b/backend/SelectDiv.vp index a275a850..d708afb7 100644 --- a/backend/SelectDiv.vp +++ b/backend/SelectDiv.vp @@ -36,7 +36,7 @@ Fixpoint find_div_mul_params (fuel: nat) (nc: Z) (d: Z) (p: Z) : option (Z * Z) | S fuel' => let twp := two_p p in if zlt (nc * (d - twp mod d)) twp - then Some(p - 32, (twp + d - twp mod d) / d) + then Some(p, (twp + d - twp mod d) / d) else find_div_mul_params fuel' nc d (p + 1) end. @@ -47,6 +47,7 @@ Definition divs_mul_params (d: Z) : option (Z * Z) := d 32 with | None => None | Some(p, m) => + let p := p - 32 in if zlt 0 d && zlt (two_p (32 + p)) (m * d) && zle (m * d) (two_p (32 + p) + two_p (p + 1)) @@ -62,6 +63,7 @@ Definition divu_mul_params (d: Z) : option (Z * Z) := d 32 with | None => None | Some(p, m) => + let p := p - 32 in if zlt 0 d && zle (two_p (32 + p)) (m * d) && zle (m * d) (two_p (32 + p) + two_p p) @@ -70,6 +72,38 @@ Definition divu_mul_params (d: Z) : option (Z * Z) := then Some(p, m) else None end. +Definition divls_mul_params (d: Z) : option (Z * Z) := + match find_div_mul_params + Int64.wordsize + (Int64.half_modulus - Int64.half_modulus mod d - 1) + d 64 with + | None => None + | Some(p, m) => + let p := p - 64 in + if zlt 0 d + && zlt (two_p (64 + p)) (m * d) + && zle (m * d) (two_p (64 + p) + two_p (p + 1)) + && zle 0 m && zlt m Int64.modulus + && zle 0 p && zlt p 64 + then Some(p, m) else None + end. + +Definition divlu_mul_params (d: Z) : option (Z * Z) := + match find_div_mul_params + Int64.wordsize + (Int64.modulus - Int64.modulus mod d - 1) + d 64 with + | None => None + | Some(p, m) => + let p := p - 64 in + if zlt 0 d + && zle (two_p (64 + p)) (m * d) + && zle (m * d) (two_p (64 + p) + two_p p) + && zle 0 m && zlt m Int64.modulus + && zle 0 p && zlt p 64 + then Some(p, m) else None + end. + Definition divu_mul (p: Z) (m: Z) := shruimm (Eop Omulhu (Eletvar O ::: Eop (Ointconst (Int.repr m)) Enil ::: Enil)) (Int.repr p). |