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/- | ||
Copyright (c) 2023 Amazon.com, Inc. or its affiliates. All Rights Reserved. | ||
Released under Apache 2.0 license as described in the file LICENSE. | ||
Author(s): Shilpi Goel, Siddharth Bhat | ||
-/ | ||
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-- Taken from https://github.com/leanprover/LNSym/blob/main/Arm/BitVec.lean | ||
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import Lean.Elab.Term | ||
import Lean.Meta.Reduce | ||
import Std.Tactic.BVDecide | ||
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open BitVec | ||
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/- Bitvector pattern component syntax category, originally written by | ||
Leonardo de Moura. -/ | ||
declare_syntax_cat bvpat_comp | ||
syntax num : bvpat_comp | ||
syntax ident (":" num)? : bvpat_comp | ||
syntax "_" ":" num : bvpat_comp | ||
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/-- | ||
Bitvector pattern syntax category. | ||
Example: [sf:1,0011010000,Rm:5,000000,Rn:5,Rd:5] | ||
-/ | ||
declare_syntax_cat bvpat | ||
syntax "[" bvpat_comp,* "]" : bvpat | ||
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open Lean | ||
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abbrev BVPatComp := TSyntax `bvpat_comp | ||
abbrev BVPat := TSyntax `bvpat | ||
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/-- Return the number of bits in a bit-vector component pattern. -/ | ||
def BVPatComp.length (c : BVPatComp) : Nat := Id.run do | ||
match c with | ||
| `(bvpat_comp| $n:num) => | ||
let some str := n.raw.isLit? `num | pure 0 | ||
return str.length | ||
| `(bvpat_comp| $_:ident : $n:num) => | ||
return n.raw.toNat | ||
| `(bvpat_comp| $_:ident ) => | ||
return 1 | ||
| `(bvpat_comp| _ : $n:num) => | ||
return n.raw.toNat | ||
| _ => | ||
return 0 | ||
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/-- | ||
If the pattern component is a bitvector literal, convert it into a bit-vector term | ||
denoting it. | ||
-/ | ||
def BVPatComp.toBVLit? (c : BVPatComp) : MacroM (Option Term) := do | ||
match c with | ||
| `(bvpat_comp| $n:num) => | ||
let len := c.length | ||
let some str := n.raw.isLit? `num | Macro.throwErrorAt c "invalid bit-vector literal" | ||
let bs := str.toList | ||
let mut val := 0 | ||
for b in bs do | ||
if b = '1' then | ||
val := 2*val + 1 | ||
else if b = '0' then | ||
val := 2*val | ||
else | ||
Macro.throwErrorAt c "invalid bit-vector literal, '0'/'1's expected" | ||
let r ← `(BitVec.ofNat $(quote len) $(quote val)) | ||
return some r | ||
| _ => return none | ||
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/-- | ||
If the pattern component is a pattern variable of the form `<id>:<size>` return | ||
`some id`. | ||
-/ | ||
def BVPatComp.toBVVar? (c : BVPatComp) : MacroM (Option (TSyntax `ident)) := do | ||
match c with | ||
| `(bvpat_comp| $x:ident $[: $_:num]?) => | ||
return some x | ||
| _ => return none | ||
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def BVPat.getComponents (p : BVPat) : Array BVPatComp := | ||
match p with | ||
| `(bvpat| [$comp,*]) => comp.getElems.reverse | ||
| _ => #[] | ||
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/-- | ||
Return the number of bits in a bit-vector pattern. | ||
-/ | ||
def BVPat.length (p : BVPat) : Nat := Id.run do | ||
let mut sz := 0 | ||
for c in p.getComponents do | ||
sz := sz + c.length | ||
return sz | ||
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/-- | ||
Return a term that evaluates to `true` if `var` is an instance of the pattern `pat`. | ||
-/ | ||
def genBVPatMatchTest (vars : Array Term) (pats : Array BVPat) : MacroM Term := do | ||
if vars.size != pats.size then | ||
Macro.throwError "incorrect number of patterns" | ||
let mut result ← `(true) | ||
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for (pat, var) in pats.zip vars do | ||
let mut shift := 0 | ||
for c in pat.getComponents do | ||
let len := c.length | ||
if let some bv ← c.toBVLit? then | ||
let test ← `(extractLsb $(quote (shift + (len - 1))) $(quote shift) $var == $bv) | ||
result ← `($result && $test) | ||
shift := shift + len | ||
return result | ||
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/-- | ||
Given a variable `var` representing a term that matches the pattern `pat`, and a term `rhs`, | ||
return a term of the form | ||
``` | ||
let y₁ := var.extract .. | ||
... | ||
let yₙ := var.extract .. | ||
rhs | ||
``` | ||
where `yᵢ`s are the pattern variables in `pat`. | ||
-/ | ||
def declBVPatVars (vars : Array Term) (pats : Array BVPat) (rhs : Term) : MacroM Term := do | ||
let mut result := rhs | ||
for (pat, var) in pats.zip vars do | ||
let mut shift := 0 | ||
for c in pat.getComponents do | ||
let len := c.length | ||
if let some y ← c.toBVVar? then | ||
let rhs ← `(extractLsb $(quote (shift + (len - 1))) $(quote shift) $var) | ||
result ← `(let $y := $rhs; $result) | ||
shift := shift + len | ||
return result | ||
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/-- | ||
Define the `match_bv .. with | bvpat => rhs | _ => rhs`. | ||
The last entry is the `else`-case since we currently do not check whether | ||
the patterns are exhaustive or not. | ||
-/ | ||
syntax (name := matchBv) "match_bv " term,+ "with" (atomic("| " bvpat,+) " => " term)* ("| " "_ " " => " term)? : term | ||
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open Lean | ||
open Elab | ||
open Term | ||
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def checkBVPatLengths (lens : Array (Option Nat)) (pss : Array (Array BVPat)) : TermElabM Unit := do | ||
for (len, i) in lens.zipWithIndex do | ||
let mut patLen := none | ||
for ps in pss do | ||
unless ps.size == lens.size do | ||
throwError "Expected {lens.size} patterns, found {ps.size}" | ||
let p := ps[i]! | ||
let pLen := p.length | ||
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-- compare the length to that of the type of the discriminant | ||
if let some pLen' := len then | ||
unless pLen == pLen' do | ||
throwErrorAt p "Exprected pattern of length {pLen}, found {pLen'} instead" | ||
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-- compare the lengths of the patterns | ||
if let some pLen' := patLen then | ||
unless pLen == pLen' do | ||
throwErrorAt p "patterns have differrent lengths" | ||
else | ||
patLen := some pLen | ||
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-- We use this to gather all the conditions expressing that the | ||
-- previous pattern matches failed. This allows in turn to prove | ||
-- exaustivity of the pattern matching. | ||
abbrev dite_gather {α : Sort u} {old : Prop} (c : Prop) [h : Decidable c] | ||
(t : old ∧ c → α) (e : old ∧ ¬ c → α) (ho : old) : α := | ||
h.casesOn (λ hc => e (And.intro ho hc)) (λ hc => t (And.intro ho hc)) | ||
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@[term_elab matchBv] | ||
partial | ||
def elabMatchBv : TermElab := fun stx typ? => | ||
match stx with | ||
| `(match_bv $[$discrs:term],* with | ||
$[ | $[$pss:bvpat],* => $rhss:term ]* | ||
$[| _ => $rhsElse?:term]?) => do | ||
let xs := discrs | ||
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-- try to get the length of the BV to error-out | ||
-- if a pattern has the wrong length | ||
-- TODO: is it the best way to do that? | ||
let lens ← discrs.mapM (fun x => do | ||
let x ← elabTerm x none | ||
let typ ← Meta.inferType x | ||
match_expr typ with | ||
| BitVec n => | ||
let n ← Meta.reduce n | ||
match n with | ||
| .lit (.natVal n) => return some n | ||
| _ => return none | ||
| _ => return none) | ||
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checkBVPatLengths lens pss | ||
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let mut result := | ||
← if let some rhsElse := rhsElse? then | ||
`(Function.const _ $rhsElse) | ||
else | ||
`(fun _ => by bv_decide) | ||
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for ps in pss.reverse, rhs in rhss.reverse do | ||
let test ← liftMacroM <| genBVPatMatchTest xs ps | ||
let rhs ← liftMacroM <| declBVPatVars xs ps rhs | ||
result ← `(dite_gather $test (Function.const _ $rhs) $result) | ||
let res ← liftMacroM <| `($result True.intro) | ||
elabTerm res typ? | ||
| _ => throwError "invalid syntax" | ||
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----------- TESTS ----------- | ||
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def test_1 (x : BitVec 32) : BitVec 16 := | ||
match_bv x with | ||
| [sf:1,0011010000,Rm:5,000000,Rn:5,Rd:5] => sf ++ Rm ++ Rn ++ Rd | ||
| [sf:1,0000010000,11111000000,Rn:5,Rd:5] => sf ++ Rn ++ Rd ++ Rd | ||
| _ => 0#16 | ||
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def test_2 (x y : BitVec 32) : BitVec 16 := | ||
match_bv x, y with | ||
| [sf:1,0011010000,Rm:5,000000,Rn:5,Rd:5], [_sf':1,0000010000,11111000000,_Rn':5,_Rd':5] | ||
=> sf ++ Rm ++ Rn ++ Rd | ||
| [sf:1,0000010000,11111000000,Rn:5,Rd:5], [_sf:1,0000010000,11111000000,_Rn:5,_Rd:5] => sf ++ Rn ++ Rd ++ Rd | ||
| _ => 0#16 | ||
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/-- error: Exprected pattern of length 32, found 33 instead -/ | ||
#guard_msgs in | ||
def test_fail_length_one_pat (x : BitVec 33) : Bool := | ||
match_bv x with | ||
| [sf:1,0011010000,Rm:5,000000,Rn:5,Rd:5] => true | ||
| [sf:1,0000010000,11111000000,Rn:6,Rd:5] => false | ||
| _ => true | ||
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/-- error: Exprected pattern of length 32, found 33 instead -/ | ||
#guard_msgs in | ||
def test_fail_length_two_pats (x : BitVec 32) (y : BitVec 33) : BitVec 16 := | ||
match_bv x, y with | ||
| [sf:1,0011010000,Rm:5,000000,Rn:5,Rd:5], [sf':1,0000010000,11111000000,Rn':6,Rd':5] | ||
=> sf ++ Rm ++ Rn ++ Rd | ||
| [sf:1,0000010000,11111000000,Rn:5,Rd:5], [sf:1,0000010000,11111000000,Rn:5,Rd:5] => sf ++ Rn ++ Rd ++ Rd | ||
| _ => 0#16 | ||
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-- TODO: it would be nice to check that the pattern length corresponds to the | ||
-- length of the bit-vector being pattern match against... | ||
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-- def test_exhaustive_1 (x : BitVec 1) (h : x = x) : Bool := | ||
-- match_bv x with | ||
-- | [0] => true | ||
-- | [1] => false | ||
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-- def test_exhaustive_2 (x : BitVec 2) : Bool := | ||
-- match_bv x with | ||
-- | [0, _:1] => true | ||
-- | [1, _:1] => false | ||
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-- Failing test, because it is not exhaustive! | ||
-- TODO: have a more informative error message | ||
-- def test_fail_exhaustive_3 (x : BitVec 2) : Bool := | ||
-- match_bv x with | ||
-- | [01] => true | ||
-- | [1, _:1] => false |
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