lean4-htt/src/Init/Simproc.lean
Leonardo de Moura b24fbf44f3 feat: dsimproc command
Simplification procedures that produce definitionally equal results.

WIP
2024-03-05 14:42:05 -08:00

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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.
Authors: Leonardo de Moura
-/
prelude
import Init.NotationExtra
namespace Lean.Parser
/--
A user-defined simplification procedure used by the `simp` tactic, and its variants.
Here is an example.
```lean
simproc reduce_add (_ + _) := fun e => do
unless (e.isAppOfArity ``HAdd.hAdd 6) do return none
let some n ← getNatValue? (e.getArg! 4) | return none
let some m ← getNatValue? (e.getArg! 5) | return none
return some (.done { expr := mkNatLit (n+m) })
```
The `simp` tactic invokes `reduce_add` whenever it finds a term of the form `_ + _`.
The simplification procedures are stored in an (imperfect) discrimination tree.
The procedure should **not** assume the term `e` perfectly matches the given pattern.
The body of a simplification procedure must have type `Simproc`, which is an alias for
`Expr → SimpM (Option Step)`.
You can instruct the simplifier to apply the procedure before its sub-expressions
have been simplified by using the modifier `↓` before the procedure name. Example.
```lean
simproc ↓ reduce_add (_ + _) := fun e => ...
```
Simplification procedures can be also scoped or local.
-/
syntax (docComment)? attrKind "simproc " (Tactic.simpPre <|> Tactic.simpPost)? ("[" ident,* "]")? ident " (" term ")" " := " term : command
/--
Similar to `simproc`, but resulting expression must be definitionally equal to the input one.
-/
syntax (docComment)? attrKind "dsimproc " (Tactic.simpPre <|> Tactic.simpPost)? ("[" ident,* "]")? ident " (" term ")" " := " term : command
/--
A user-defined simplification procedure declaration. To activate this procedure in `simp` tactic,
we must provide it as an argument, or use the command `attribute` to set its `[simproc]` attribute.
-/
syntax (docComment)? "simproc_decl " ident " (" term ")" " := " term : command
/--
A user-defined defeq simplification procedure declaration. To activate this procedure in `simp` tactic,
we must provide it as an argument, or use the command `attribute` to set its `[simproc]` attribute.
-/
syntax (docComment)? "dsimproc_decl " ident " (" term ")" " := " term : command
/--
A builtin simplification procedure.
-/
syntax (docComment)? attrKind "builtin_simproc " (Tactic.simpPre <|> Tactic.simpPost)? ("[" ident,* "]")? ident " (" term ")" " := " term : command
/--
A builtin defeq simplification procedure.
-/
syntax (docComment)? attrKind "builtin_dsimproc " (Tactic.simpPre <|> Tactic.simpPost)? ("[" ident,* "]")? ident " (" term ")" " := " term : command
/--
A builtin simplification procedure declaration.
-/
syntax (docComment)? "builtin_simproc_decl " ident " (" term ")" " := " term : command
/--
A builtin defeq simplification procedure declaration.
-/
syntax (docComment)? "builtin_dsimproc_decl " ident " (" term ")" " := " term : command
/--
Auxiliary command for associating a pattern with a simplification procedure.
-/
syntax (name := simprocPattern) "simproc_pattern% " term " => " ident : command
/--
Auxiliary command for associating a pattern with a builtin simplification procedure.
-/
syntax (name := simprocPatternBuiltin) "builtin_simproc_pattern% " term " => " ident : command
namespace Attr
/--
Auxiliary attribute for simplification procedures.
-/
syntax (name := simprocAttr) "simproc" (Tactic.simpPre <|> Tactic.simpPost)? : attr
/--
Auxiliary attribute for symbolic evaluation procedures.
-/
syntax (name := sevalprocAttr) "sevalproc" (Tactic.simpPre <|> Tactic.simpPost)? : attr
/--
Auxiliary attribute for builtin simplification procedures.
-/
syntax (name := simprocBuiltinAttr) "builtin_simproc" (Tactic.simpPre <|> Tactic.simpPost)? : attr
/--
Auxiliary attribute for builtin symbolic evaluation procedures.
-/
syntax (name := sevalprocBuiltinAttr) "builtin_sevalproc" (Tactic.simpPre <|> Tactic.simpPost)? : attr
end Attr
macro_rules
| `($[$doc?:docComment]? simproc_decl $n:ident ($pattern:term) := $body) => do
let simprocType := `Lean.Meta.Simp.Simproc
`($[$doc?:docComment]? def $n:ident : $(mkIdent simprocType) := $body
simproc_pattern% $pattern => $n)
macro_rules
| `($[$doc?:docComment]? dsimproc_decl $n:ident ($pattern:term) := $body) => do
let simprocType := `Lean.Meta.Simp.DSimproc
`($[$doc?:docComment]? def $n:ident : $(mkIdent simprocType) := $body
simproc_pattern% $pattern => $n)
macro_rules
| `($[$doc?:docComment]? builtin_simproc_decl $n:ident ($pattern:term) := $body) => do
let simprocType := `Lean.Meta.Simp.Simproc
`($[$doc?:docComment]? def $n:ident : $(mkIdent simprocType) := $body
builtin_simproc_pattern% $pattern => $n)
macro_rules
| `($[$doc?:docComment]? builtin_dsimproc_decl $n:ident ($pattern:term) := $body) => do
let simprocType := `Lean.Meta.Simp.DSimproc
`($[$doc?:docComment]? def $n:ident : $(mkIdent simprocType) := $body
builtin_simproc_pattern% $pattern => $n)
private def mkAttributeCmds
(kind : TSyntax `Lean.Parser.Term.attrKind)
(pre? : Option (TSyntax [`Lean.Parser.Tactic.simpPre, `Lean.Parser.Tactic.simpPost]))
(ids? : Option (Syntax.TSepArray `ident ","))
(n : Ident) : MacroM (Array Syntax) := do
let mut cmds := #[]
let pushDefault (cmds : Array (TSyntax `command)) : MacroM (Array (TSyntax `command)) := do
return cmds.push (← `(attribute [$kind simproc $[$pre?]?] $n))
if let some ids := ids? then
for id in ids.getElems do
let idName := id.getId
let (attrName, attrKey) :=
if idName == `simp then
(`simprocAttr, "simproc")
else if idName == `seval then
(`sevalprocAttr, "sevalproc")
else
let idName := idName.appendAfter "_proc"
(`Parser.Attr ++ idName, idName.toString)
let attrStx : TSyntax `attr := ⟨mkNode attrName #[mkAtom attrKey, mkOptionalNode pre?]⟩
cmds := cmds.push (← `(attribute [$kind $attrStx] $n))
else
cmds ← pushDefault cmds
return cmds
macro_rules
| `($[$doc?:docComment]? $kind:attrKind simproc $[$pre?]? $[ [ $ids?:ident,* ] ]? $n:ident ($pattern:term) := $body) => do
return mkNullNode <|
#[(← `($[$doc?:docComment]? simproc_decl $n ($pattern) := $body))]
++ (← mkAttributeCmds kind pre? ids? n)
macro_rules
| `($[$doc?:docComment]? $kind:attrKind dsimproc $[$pre?]? $[ [ $ids?:ident,* ] ]? $n:ident ($pattern:term) := $body) => do
return mkNullNode <|
#[(← `($[$doc?:docComment]? dsimproc_decl $n ($pattern) := $body))]
++ (← mkAttributeCmds kind pre? ids? n)
macro_rules
| `($[$doc?:docComment]? $kind:attrKind builtin_simproc $[$pre?]? $n:ident ($pattern:term) := $body) => do
`($[$doc?:docComment]? builtin_simproc_decl $n ($pattern) := $body
attribute [$kind builtin_simproc $[$pre?]?] $n)
| `($[$doc?:docComment]? $kind:attrKind builtin_simproc $[$pre?]? [seval] $n:ident ($pattern:term) := $body) => do
`($[$doc?:docComment]? builtin_simproc_decl $n ($pattern) := $body
attribute [$kind builtin_sevalproc $[$pre?]?] $n)
| `($[$doc?:docComment]? $kind:attrKind builtin_simproc $[$pre?]? [simp, seval] $n:ident ($pattern:term) := $body) => do
`($[$doc?:docComment]? builtin_simproc_decl $n ($pattern) := $body
attribute [$kind builtin_simproc $[$pre?]?] $n
attribute [$kind builtin_sevalproc $[$pre?]?] $n)
macro_rules
| `($[$doc?:docComment]? $kind:attrKind builtin_dsimproc $[$pre?]? $n:ident ($pattern:term) := $body) => do
`($[$doc?:docComment]? builtin_dsimproc_decl $n ($pattern) := $body
attribute [$kind builtin_simproc $[$pre?]?] $n)
| `($[$doc?:docComment]? $kind:attrKind builtin_dsimproc $[$pre?]? [seval] $n:ident ($pattern:term) := $body) => do
`($[$doc?:docComment]? builtin_dsimproc_decl $n ($pattern) := $body
attribute [$kind builtin_sevalproc $[$pre?]?] $n)
| `($[$doc?:docComment]? $kind:attrKind builtin_dsimproc $[$pre?]? [simp, seval] $n:ident ($pattern:term) := $body) => do
`($[$doc?:docComment]? builtin_dsimproc_decl $n ($pattern) := $body
attribute [$kind builtin_simproc $[$pre?]?] $n
attribute [$kind builtin_sevalproc $[$pre?]?] $n)
end Lean.Parser