lean4-htt/src/Init/LeanInit.lean
2020-08-23 19:56:01 -07:00

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/-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura and Sebastian Ullrich
-/
prelude
import Init.Data.Option.BasicAux
import Init.Data.String.Basic
import Init.Data.Array.Basic
import Init.Data.UInt
import Init.Data.Hashable
import Init.Control.Reader
import Init.Control.EState
import Init.Control.StateRef
import Init.Control.Option
namespace Lean
/-
Basic Lean types used to implement builtin commands and extensions.
Note that this file is part of the Lean `Init` library instead of
`Lean` actual implementation.
The idea is to allow users to implement simple parsers, macros and tactics
without importing the whole `Lean` module.
It also allow us to use extensions to develop the `Init` library.
-/
/- Valid identifier names -/
def isGreek (c : Char) : Bool :=
0x391 ≤ c.val && c.val ≤ 0x3dd
def isLetterLike (c : Char) : Bool :=
(0x3b1 ≤ c.val && c.val ≤ 0x3c9 && c.val ≠ 0x3bb) || -- Lower greek, but lambda
(0x391 ≤ c.val && c.val ≤ 0x3A9 && c.val ≠ 0x3A0 && c.val ≠ 0x3A3) || -- Upper greek, but Pi and Sigma
(0x3ca ≤ c.val && c.val ≤ 0x3fb) || -- Coptic letters
(0x1f00 ≤ c.val && c.val ≤ 0x1ffe) || -- Polytonic Greek Extended Character Set
(0x2100 ≤ c.val && c.val ≤ 0x214f) || -- Letter like block
(0x1d49c ≤ c.val && c.val ≤ 0x1d59f) -- Latin letters, Script, Double-struck, Fractur
def isSubScriptAlnum (c : Char) : Bool :=
(0x2080 ≤ c.val && c.val ≤ 0x2089) || -- numeric subscripts
(0x2090 ≤ c.val && c.val ≤ 0x209c) ||
(0x1d62 ≤ c.val && c.val ≤ 0x1d6a)
def isIdFirst (c : Char) : Bool :=
c.isAlpha || c = '_' || isLetterLike c
def isIdRest (c : Char) : Bool :=
c.isAlphanum || c = '_' || c = '\'' || c == '!' || c == '?' || isLetterLike c || isSubScriptAlnum c
def idBeginEscape := '«'
def idEndEscape := '»'
def isIdBeginEscape (c : Char) : Bool :=
c = idBeginEscape
def isIdEndEscape (c : Char) : Bool :=
c = idEndEscape
/- Hierarchical names -/
inductive Name
| anonymous : Name
| str : Name → String → USize → Name
| num : Name → Nat → USize → Name
instance Name.inhabited : Inhabited Name :=
⟨Name.anonymous⟩
protected def Name.hash : Name → USize
| Name.anonymous => 1723
| Name.str p s h => h
| Name.num p v h => h
instance Name.hashable : Hashable Name := ⟨Name.hash⟩
@[export lean_name_mk_string]
def mkNameStr (p : Name) (s : String) : Name :=
Name.str p s $ mixHash (hash p) (hash s)
@[export lean_name_mk_numeral]
def mkNameNum (p : Name) (v : Nat) : Name :=
Name.num p v $ mixHash (hash p) (hash v)
def mkNameSimple (s : String) : Name :=
mkNameStr Name.anonymous s
namespace Name
@[extern "lean_name_eq"]
protected def Name.beq : (@& Name) → (@& Name) → Bool
| anonymous, anonymous => true
| str p₁ s₁ _, str p₂ s₂ _ => s₁ == s₂ && Name.beq p₁ p₂
| num p₁ n₁ _, num p₂ n₂ _ => n₁ == n₂ && Name.beq p₁ p₂
| _, _ => false
instance : HasBeq Name := ⟨Name.beq⟩
def toStringWithSep (sep : String) : Name → String
| anonymous => "[anonymous]"
| str anonymous s _ => s
| num anonymous v _ => toString v
| str n s _ => toStringWithSep n ++ sep ++ s
| num n v _ => toStringWithSep n ++ sep ++ repr v
protected def toString : Name → String :=
toStringWithSep "."
instance : HasToString Name :=
⟨Name.toString⟩
protected def append : Name → Name → Name
| n, anonymous => n
| n, str p s _ => mkNameStr (append n p) s
| n, num p d _ => mkNameNum (append n p) d
instance : HasAppend Name :=
⟨Name.append⟩
end Name
structure NameGenerator :=
(namePrefix : Name := `_uniq)
(idx : Nat := 1)
namespace NameGenerator
instance : Inhabited NameGenerator := ⟨{}⟩
@[inline] def curr (g : NameGenerator) : Name :=
mkNameNum g.namePrefix g.idx
@[inline] def next (g : NameGenerator) : NameGenerator :=
{ g with idx := g.idx + 1 }
@[inline] def mkChild (g : NameGenerator) : NameGenerator × NameGenerator :=
({ namePrefix := mkNameNum g.namePrefix g.idx, idx := 1 },
{ g with idx := g.idx + 1 })
end NameGenerator
class MonadNameGenerator (m : Type → Type) :=
(getNGen : m NameGenerator)
(setNGen : NameGenerator → m Unit)
export MonadNameGenerator (getNGen setNGen)
def mkFreshId {m : Type → Type} [Monad m] [MonadNameGenerator m] : m Name := do
ngen ← getNGen;
let r := ngen.curr;
setNGen ngen.next;
pure r
instance monadNameGeneratorLift (m n : Type → Type) [MonadNameGenerator m] [HasMonadLift m n] : MonadNameGenerator n :=
{ getNGen := liftM (getNGen : m _),
setNGen := fun ngen => liftM (setNGen ngen : m _) }
/-
Small DSL for describing parsers. We implement an interpreter for it
at `Parser.lean` -/
inductive ParserDescr
| andthen : ParserDescr → ParserDescr → ParserDescr
| orelse : ParserDescr → ParserDescr → ParserDescr
| optional : ParserDescr → ParserDescr
| lookahead : ParserDescr → ParserDescr
| try : ParserDescr → ParserDescr
| many : ParserDescr → ParserDescr
| many1 : ParserDescr → ParserDescr
| sepBy : ParserDescr → ParserDescr → ParserDescr
| sepBy1 : ParserDescr → ParserDescr → ParserDescr
| node : Name → Nat → ParserDescr → ParserDescr
| trailingNode : Name → Nat → ParserDescr → ParserDescr
| symbol : String → ParserDescr
| nonReservedSymbol : String → Bool → ParserDescr
| numLit : ParserDescr
| strLit : ParserDescr
| charLit : ParserDescr
| nameLit : ParserDescr
| ident : ParserDescr
| cat : Name → Nat → ParserDescr
| parser : Name → ParserDescr
instance ParserDescr.inhabited : Inhabited ParserDescr := ⟨ParserDescr.symbol ""⟩
abbrev TrailingParserDescr := ParserDescr
/- Syntax -/
/--
Source information of syntax atoms. All information is generally set for unquoted syntax and unset for syntax in
syntax quotations, but syntax transformations might want to invalidate only one side to make the pretty printer
reformat it. In the special case of the delaborator, we also use purely synthetic position information without
whitespace information. -/
structure SourceInfo :=
/- Will be inferred after parsing by `Syntax.updateLeading`. During parsing,
it is not at all clear what the preceding token was, especially with backtracking. -/
(leading : Option Substring := none)
(pos : Option String.Pos := none)
(trailing : Option Substring := none)
instance SourceInfo.inhabited : Inhabited SourceInfo := ⟨{}⟩
abbrev SyntaxNodeKind := Name
/- Syntax AST -/
inductive Syntax
| missing : Syntax
| node (kind : SyntaxNodeKind) (args : Array Syntax) : Syntax
| atom (info : SourceInfo) (val : String) : Syntax
| ident (info : SourceInfo) (rawVal : Substring) (val : Name) (preresolved : List (Name × List String)) : Syntax
instance Syntax.inhabited : Inhabited Syntax :=
⟨Syntax.missing⟩
/- Builtin kinds -/
def choiceKind : SyntaxNodeKind := `choice
def nullKind : SyntaxNodeKind := `null
def identKind : SyntaxNodeKind := `ident
def strLitKind : SyntaxNodeKind := `strLit
def charLitKind : SyntaxNodeKind := `charLit
def numLitKind : SyntaxNodeKind := `numLit
def nameLitKind : SyntaxNodeKind := `nameLit
def fieldIdxKind : SyntaxNodeKind := `fieldIdx
namespace Syntax
def getKind (stx : Syntax) : SyntaxNodeKind :=
match stx with
| Syntax.node k args => k
-- We use these "pseudo kinds" for antiquotation kinds.
-- For example, an antiquotation `$id:ident` (using Lean.Parser.Term.ident)
-- is compiled to ``if stx.isOfKind `ident ...``
| Syntax.missing => `missing
| Syntax.atom _ v => mkNameSimple v
| Syntax.ident _ _ _ _ => identKind
def updateKind (stx : Syntax) (k : SyntaxNodeKind) : Syntax :=
match stx with
| Syntax.node _ args => Syntax.node k args
| _ => stx
def isOfKind : Syntax → SyntaxNodeKind → Bool
| stx, k => stx.getKind == k
def getArg (stx : Syntax) (i : Nat) : Syntax :=
match stx with
| Syntax.node _ args => args.get! i
| _ => Syntax.missing -- panic! "Syntax.getArg: not a node"
def getArgs (stx : Syntax) : Array Syntax :=
match stx with
| Syntax.node _ args => args
| _ => #[] -- panic! "Syntax.getArgs: not a node"
/-- Retrieve the left-most leaf's info in the Syntax tree. -/
partial def getHeadInfo : Syntax → Option SourceInfo
| atom info _ => info
| ident info _ _ _ => info
| node _ args => args.findSome? getHeadInfo
| _ => none
end Syntax
/-
Runtime support for making quotation terms auto-hygienic, by mangling identifiers
introduced by them with a "macro scope" supplied by the context. Details to appear in a
paper soon.
-/
abbrev MacroScope := Nat
/-- Macro scope used internally. It is not available for our frontend. -/
def reservedMacroScope := 0
/-- First macro scope available for our frontend -/
def firstFrontendMacroScope := reservedMacroScope + 1
/-- A monad that supports syntax quotations. Syntax quotations (in term
position) are monadic values that when executed retrieve the current "macro
scope" from the monad and apply it to every identifier they introduce
(independent of whether this identifier turns out to be a reference to an
existing declaration, or an actually fresh binding during further
elaboration). -/
class MonadQuotation (m : Type → Type) :=
-- Get the fresh scope of the current macro invocation
(getCurrMacroScope : m MacroScope)
(getMainModule : m Name)
/- Execute action in a new macro invocation context. This transformer should be
used at all places that morally qualify as the beginning of a "macro call",
e.g. `elabCommand` and `elabTerm` in the case of the elaborator. However, it
can also be used internally inside a "macro" if identifiers introduced by
e.g. different recursive calls should be independent and not collide. While
returning an intermediate syntax tree that will recursively be expanded by
the elaborator can be used for the same effect, doing direct recursion inside
the macro guarded by this transformer is often easier because one is not
restricted to passing a single syntax tree. Modelling this helper as a
transformer and not just a monadic action ensures that the current macro
scope before the recursive call is restored after it, as expected. -/
(withFreshMacroScope {α : Type} : m α → m α)
export MonadQuotation
/-
We represent a name with macro scopes as
```
<actual name>._@.(<module_name>.<scopes>)*.<module_name>._hyg.<scopes>
```
Example: suppose the module name is `Init.Data.List.Basic`, and name is `foo.bla`, and macroscopes [2, 5]
```
foo.bla._@.Init.Data.List.Basic._hyg.2.5
```
We may have to combine scopes from different files/modules.
The main modules being processed is always the right most one.
This situation may happen when we execute a macro generated in
an imported file in the current file.
```
foo.bla._@.Init.Data.List.Basic.2.1.Init.Lean.Expr_hyg.4
```
The delimiter `_hyg` is used just to improve the `hasMacroScopes` performance.
-/
def Name.hasMacroScopes : Name → Bool
| Name.str _ str _ => str == "_hyg"
| Name.num p _ _ => Name.hasMacroScopes p
| _ => false
private def eraseMacroScopesAux : Name → Name
| Name.str p str _ => if str == "_@" then p else eraseMacroScopesAux p
| Name.num p _ _ => eraseMacroScopesAux p
| Name.anonymous => unreachable!
def Name.eraseMacroScopes (n : Name) : Name :=
if n.hasMacroScopes then eraseMacroScopesAux n else n
structure MacroScopesView :=
(name : Name)
(imported : Name)
(mainModule : Name)
(scopes : List MacroScope)
instance MacroScopesView.inhabited : Inhabited MacroScopesView :=
⟨⟨arbitrary _, arbitrary _, arbitrary _, arbitrary _⟩⟩
def MacroScopesView.review (view : MacroScopesView) : Name :=
if view.scopes.isEmpty then view.name
else
let base := (mkNameStr ((mkNameStr view.name "_@") ++ view.imported ++ view.mainModule) "_hyg");
view.scopes.foldl mkNameNum base
private def assembleParts : List Name → Name → Name
| [], acc => acc
| (Name.str _ s _) :: ps, acc => assembleParts ps (mkNameStr acc s)
| (Name.num _ n _) :: ps, acc => assembleParts ps (mkNameNum acc n)
| _, _ => unreachable!
private def extractImported (scps : List MacroScope) (mainModule : Name) : Name → List Name → MacroScopesView
| n@(Name.str p str _), parts =>
if str == "_@" then
{ name := p, mainModule := mainModule, imported := assembleParts parts Name.anonymous, scopes := scps }
else
extractImported p (n :: parts)
| n@(Name.num p str _), parts => extractImported p (n :: parts)
| _, _ => unreachable!
private def extractMainModule (scps : List MacroScope) : Name → List Name → MacroScopesView
| n@(Name.str p str _), parts =>
if str == "_@" then
{ name := p, mainModule := assembleParts parts Name.anonymous, imported := Name.anonymous, scopes := scps }
else
extractMainModule p (n :: parts)
| n@(Name.num p num _), acc => extractImported scps (assembleParts acc Name.anonymous) n []
| _, _ => unreachable!
private def extractMacroScopesAux : Name → List MacroScope → MacroScopesView
| Name.num p scp _, acc => extractMacroScopesAux p (scp::acc)
| Name.str p str _, acc => extractMainModule acc p [] -- str must be "_hyg"
| _, _ => unreachable!
/--
Revert all `addMacroScope` calls. `v = extractMacroScopes n → n = v.review`.
This operation is useful for analyzing/transforming the original identifiers, then adding back
the scopes (via `MacroScopesView.review`). -/
def extractMacroScopes (n : Name) : MacroScopesView :=
if n.hasMacroScopes then
extractMacroScopesAux n []
else
{ name := n, scopes := [], imported := Name.anonymous, mainModule := Name.anonymous }
def addMacroScope (mainModule : Name) (n : Name) (scp : MacroScope) : Name :=
if n.hasMacroScopes then
let view := extractMacroScopes n;
if view.mainModule == mainModule then
mkNameNum n scp
else
{ view with imported := view.scopes.foldl mkNameNum (view.imported ++ view.mainModule), mainModule := mainModule, scopes := [scp] }.review
else
mkNameNum (mkNameStr (mkNameStr n "_@" ++ mainModule) "_hyg") scp
@[inline] def MonadQuotation.addMacroScope {m : Type → Type} [MonadQuotation m] [Monad m] (n : Name) : m Name := do
mainModule ← getMainModule;
scp ← getCurrMacroScope;
pure $ addMacroScope mainModule n scp
def defaultMaxRecDepth := 512
def maxRecDepthErrorMessage : String :=
"maximum recursion depth has been reached (use `set_option maxRecDepth <num>` to increase limit)"
namespace Macro
structure Context :=
(mainModule : Name)
(currMacroScope : MacroScope)
(currRecDepth : Nat := 0)
(maxRecDepth : Nat := defaultMaxRecDepth)
inductive Exception
| error : Syntax → String → Exception
| unsupportedSyntax : Exception
end Macro
abbrev MacroM := ReaderT Macro.Context (EStateM Macro.Exception MacroScope)
def Macro.addMacroScope (n : Name) : MacroM Name := do
ctx ← read;
pure $ Lean.addMacroScope ctx.mainModule n ctx.currMacroScope
def Macro.throwUnsupported {α} : MacroM α :=
throw Macro.Exception.unsupportedSyntax
def Macro.throwError {α} (ref : Syntax) (msg : String) : MacroM α :=
throw $ Macro.Exception.error ref msg
@[inline] protected def Macro.withFreshMacroScope {α} (x : MacroM α) : MacroM α := do
fresh ← modifyGet (fun s => (s, s+1));
adaptReader (fun (ctx : Macro.Context) => { ctx with currMacroScope := fresh }) x
@[inline] def Macro.withIncRecDepth {α} (ref : Syntax) (x : MacroM α) : MacroM α := do
ctx ← read;
when (ctx.currRecDepth == ctx.maxRecDepth) $ throw $ Macro.Exception.error ref maxRecDepthErrorMessage;
adaptReader (fun (ctx : Macro.Context) => { ctx with currRecDepth := ctx.currRecDepth + 1 }) x
instance MacroM.monadQuotation : MonadQuotation MacroM :=
{ getCurrMacroScope := fun ctx => pure ctx.currMacroScope,
getMainModule := fun ctx => pure ctx.mainModule,
withFreshMacroScope := @Macro.withFreshMacroScope }
instance monadQuotationTrans {m n : Type → Type} [MonadQuotation m] [HasMonadLift m n] [MonadFunctorT m m n n] : MonadQuotation n :=
{ getCurrMacroScope := liftM (getCurrMacroScope : m MacroScope),
getMainModule := liftM (getMainModule : m Name),
withFreshMacroScope := fun α => monadMap (fun α => (withFreshMacroScope : m α → m α)) }
abbrev Macro := Syntax → MacroM Syntax
/- Helper functions for processing Syntax programmatically -/
/--
Create an identifier using `SourceInfo` from `src`.
To refer to a specific constant, use `mkCIdentFrom` instead. -/
def mkIdentFrom (src : Syntax) (val : Name) : Syntax :=
let info := src.getHeadInfo.getD {};
Syntax.ident info (toString val).toSubstring val []
/--
Create an identifier referring to a constant `c` using `SourceInfo` from `src`.
This variant of `mkIdentFrom` makes sure that the identifier cannot accidentally
be captured. -/
def mkCIdentFrom (src : Syntax) (c : Name) : Syntax :=
let info := src.getHeadInfo.getD {};
-- Remark: We use the reserved macro scope to make sure there are no accidental collision with our frontend
let id := addMacroScope `_internal c reservedMacroScope;
Syntax.ident info (toString id).toSubstring id [(c, [])]
def mkCIdent (c : Name) : Syntax :=
mkCIdentFrom Syntax.missing c
def mkAtomFrom (src : Syntax) (val : String) : Syntax :=
let info := src.getHeadInfo.getD {};
Syntax.atom info val
def Syntax.identToAtom (stx : Syntax) : Syntax :=
match stx with
| Syntax.ident info _ val _ => Syntax.atom info val.eraseMacroScopes.toString
| _ => stx
@[export lean_mk_syntax_ident]
def mkIdent (val : Name) : Syntax :=
Syntax.ident {} (toString val).toSubstring val []
@[inline] def mkNullNode (args : Array Syntax := #[]) : Syntax :=
Syntax.node nullKind args
def mkSepStx (a : Array Syntax) (sep : Syntax) : Syntax :=
mkNullNode $ a.iterate #[] $ fun i a r =>
if i.val > 0 then
(r.push sep).push a
else
r.push a
def mkOptionalNode (arg : Option Syntax) : Syntax :=
match arg with
| some arg => Syntax.node nullKind #[arg]
| none => Syntax.node nullKind #[]
/-- Create syntax representing a Lean term application -/
def mkAppStx (fn : Syntax) (args : Array Syntax) : Syntax :=
Syntax.node `Lean.Parser.Term.app #[fn, mkNullNode args]
def mkHole (ref : Syntax) : Syntax :=
Syntax.node `Lean.Parser.Term.hole #[mkAtomFrom ref "_"]
def mkCAppStx (fn : Name) (args : Array Syntax) : Syntax :=
mkAppStx (mkCIdent fn) args
def mkStxLit (kind : SyntaxNodeKind) (val : String) (info : SourceInfo := {}) : Syntax :=
let atom : Syntax := Syntax.atom info val;
Syntax.node kind #[atom]
def mkStxStrLit (val : String) (info : SourceInfo := {}) : Syntax :=
mkStxLit strLitKind (repr val) info
def mkStxNumLit (val : String) (info : SourceInfo := {}) : Syntax :=
mkStxLit numLitKind val info
namespace Syntax
/- Recall that we don't have special Syntax constructors for storing numeric and string atoms.
The idea is to have an extensible approach where embedded DSLs may have new kind of atoms and/or
different ways of representing them. So, our atoms contain just the parsed string.
The main Lean parser uses the kind `numLitKind` for storing natural numbers that can be encoded
in binary, octal, decimal and hexadecimal format. `isNatLit` implements a "decoder"
for Syntax objects representing these numerals. -/
private partial def decodeBinLitAux (s : String) : String.Pos → Nat → Option Nat
| i, val =>
if s.atEnd i then some val
else
let c := s.get i;
if c == '0' then decodeBinLitAux (s.next i) (2*val)
else if c == '1' then decodeBinLitAux (s.next i) (2*val + 1)
else none
private partial def decodeOctalLitAux (s : String) : String.Pos → Nat → Option Nat
| i, val =>
if s.atEnd i then some val
else
let c := s.get i;
if '0' ≤ c && c ≤ '7' then decodeOctalLitAux (s.next i) (8*val + c.toNat - '0'.toNat)
else none
private def decodeHexDigit (s : String) (i : String.Pos) : Option (Nat × String.Pos) :=
let c := s.get i;
let i := s.next i;
if '0' ≤ c && c ≤ '9' then some (c.toNat - '0'.toNat, i)
else if 'a' ≤ c && c ≤ 'f' then some (10 + c.toNat - 'a'.toNat, i)
else if 'A' ≤ c && c ≤ 'F' then some (10 + c.toNat - 'A'.toNat, i)
else none
private partial def decodeHexLitAux (s : String) : String.Pos → Nat → Option Nat
| i, val =>
if s.atEnd i then some val
else match decodeHexDigit s i with
| some (d, i) => decodeHexLitAux i (16*val + d)
| none => none
private partial def decodeDecimalLitAux (s : String) : String.Pos → Nat → Option Nat
| i, val =>
if s.atEnd i then some val
else
let c := s.get i;
if '0' ≤ c && c ≤ '9' then decodeDecimalLitAux (s.next i) (10*val + c.toNat - '0'.toNat)
else none
def decodeNatLitVal (s : String) : Option Nat :=
let len := s.length;
if len == 0 then none
else
let c := s.get 0;
if c == '0' then
if len == 1 then some 0
else
let c := s.get 1;
if c == 'x' || c == 'X' then decodeHexLitAux s 2 0
else if c == 'b' || c == 'B' then decodeBinLitAux s 2 0
else if c == 'o' || c == 'O' then decodeOctalLitAux s 2 0
else if c.isDigit then decodeDecimalLitAux s 0 0
else none
else if c.isDigit then decodeDecimalLitAux s 0 0
else none
def isLit? (litKind : SyntaxNodeKind) (stx : Syntax) : Option String :=
match stx with
| Syntax.node k args =>
if k == litKind && args.size == 1 then
match args.get! 0 with
| (Syntax.atom _ val) => some val
| _ => none
else
none
| _ => none
def isNatLitAux (litKind : SyntaxNodeKind) (stx : Syntax) : Option Nat :=
match isLit? litKind stx with
| some val => decodeNatLitVal val
| _ => none
def isNatLit? (s : Syntax) : Option Nat :=
isNatLitAux numLitKind s
def isFieldIdx? (s : Syntax) : Option Nat :=
isNatLitAux fieldIdxKind s
def isIdOrAtom? : Syntax → Option String
| Syntax.atom _ val => some val
| Syntax.ident _ rawVal _ _ => some rawVal.toString
| _ => none
def toNat (stx : Syntax) : Nat :=
match stx.isNatLit? with
| some val => val
| none => 0
private def decodeQuotedChar (s : String) (i : String.Pos) : Option (Char × String.Pos) :=
let c := s.get i;
let i := s.next i;
if c == '\\' then pure ('\\', i)
else if c = '\"' then pure ('\"', i)
else if c = '\'' then pure ('\'', i)
else if c = 'r' then pure ('\r', i)
else if c = 'n' then pure ('\n', i)
else if c = 't' then pure ('\t', i)
else if c = 'x' then do
(d₁, i) ← decodeHexDigit s i;
(d₂, i) ← decodeHexDigit s i;
pure (Char.ofNat (16*d₁ + d₂), i)
else if c = 'u' then do
(d₁, i) ← decodeHexDigit s i;
(d₂, i) ← decodeHexDigit s i;
(d₃, i) ← decodeHexDigit s i;
(d₄, i) ← decodeHexDigit s i;
pure $ (Char.ofNat (16*(16*(16*d₁ + d₂) + d₃) + d₄), i)
else
none
partial def decodeStrLitAux (s : String) : String.Pos → String → Option String
| i, acc => do
let c := s.get i;
let i := s.next i;
if c == '\"' then
pure acc
else if c == '\\' then do
(c, i) ← decodeQuotedChar s i;
decodeStrLitAux i (acc.push c)
else
decodeStrLitAux i (acc.push c)
def decodeStrLit (s : String) : Option String :=
decodeStrLitAux s 1 ""
def isStrLit? (stx : Syntax) : Option String :=
match isLit? strLitKind stx with
| some val => decodeStrLit val
| _ => none
def decodeCharLit (s : String) : Option Char :=
let c := s.get 1;
if c == '\\' then do
(c, _) ← decodeQuotedChar s 2;
pure c
else
pure c
def isCharLit? (stx : Syntax) : Option Char :=
match isLit? charLitKind stx with
| some val => decodeCharLit val
| _ => none
private partial def decodeNameLitAux (s : String) : Nat → Name → Option Name
| i, r =>
let continue? (i : Nat) (r : Name) : Option Name :=
if s.get i == '.' then
decodeNameLitAux (s.next i) r
else if s.atEnd i then
pure r
else
none;
let curr := s.get i;
if isIdBeginEscape curr then
let startPart := s.next i;
let stopPart := s.nextUntil isIdEndEscape startPart;
if !isIdEndEscape (s.get stopPart) then none
else continue? (s.next stopPart) (mkNameStr r (s.extract startPart stopPart))
else if isIdFirst curr then
let startPart := i;
let stopPart := s.nextWhile isIdRest startPart;
continue? stopPart (mkNameStr r (s.extract startPart stopPart))
else
none
def decodeNameLit (s : String) : Option Name :=
if s.get 0 == '`' then
decodeNameLitAux s 1 Name.anonymous
else
none
def isNameLit? (stx : Syntax) : Option Name :=
match isLit? nameLitKind stx with
| some val => decodeNameLit val
| _ => none
def hasArgs : Syntax → Bool
| Syntax.node _ args => args.size > 0
| _ => false
def identToStrLit (stx : Syntax) : Syntax :=
match stx with
| Syntax.ident info _ val _ => mkStxStrLit val.toString info
| _ => stx
def strLitToAtom (stx : Syntax) : Syntax :=
match stx.isStrLit? with
| none => stx
| some val => Syntax.atom stx.getHeadInfo.get! val
def isAtom : Syntax → Bool
| atom _ _ => true
| _ => false
def isIdent : Syntax → Bool
| ident _ _ _ _ => true
| _ => false
def getId : Syntax → Name
| ident _ _ val _ => val
| _ => Name.anonymous
def isNone (stx : Syntax) : Bool :=
match stx with
| Syntax.node k args => k == nullKind && args.size == 0
| _ => false
def getOptional? (stx : Syntax) : Option Syntax :=
match stx with
| Syntax.node k args => if k == nullKind && args.size == 1 then some (args.get! 0) else none
| _ => none
def getOptionalIdent? (stx : Syntax) : Option Name :=
match stx.getOptional? with
| some stx => some stx.getId
| none => none
partial def findAux (p : Syntax → Bool) : Syntax → Option Syntax
| stx@(Syntax.node _ args) => if p stx then some stx else args.findSome? findAux
| stx => if p stx then some stx else none
def find? (stx : Syntax) (p : Syntax → Bool) : Option Syntax :=
findAux p stx
end Syntax
end Lean
namespace Array
abbrev getSepElems := @getEvenElems
open Lean
private partial def filterSepElemsMAux {m : Type → Type} [Monad m] (a : Array Syntax) (p : Syntax → m Bool) : Nat → Array Syntax → m (Array Syntax)
| i, acc =>
if h : i < a.size then
let stx := a.get ⟨i, h⟩;
condM (p stx)
(if acc.isEmpty then
filterSepElemsMAux (i+2) (acc.push stx)
else if hz : i ≠ 0 then
have i.pred < i from Nat.predLt hz;
let sepStx := a.get ⟨i.pred, Nat.ltTrans this h⟩;
filterSepElemsMAux (i+2) ((acc.push sepStx).push stx)
else
filterSepElemsMAux (i+2) (acc.push stx))
(filterSepElemsMAux (i+2) acc)
else
pure acc
def filterSepElemsM {m : Type → Type} [Monad m] (a : Array Syntax) (p : Syntax → m Bool) : m (Array Syntax) :=
filterSepElemsMAux a p 0 #[]
def filterSepElems (a : Array Syntax) (p : Syntax → Bool) : Array Syntax :=
Id.run $ a.filterSepElemsM p
private partial def mapSepElemsMAux {m : Type → Type} [Monad m] (a : Array Syntax) (f : Syntax → m Syntax) : Nat → Array Syntax → m (Array Syntax)
| i, acc =>
if h : i < a.size then do
let stx := a.get ⟨i, h⟩;
if i % 2 == 0 then do
stx ← f stx;
mapSepElemsMAux (i+1) (acc.push stx)
else
mapSepElemsMAux (i+1) (acc.push stx)
else
pure acc
def mapSepElemsM {m : Type → Type} [Monad m] (a : Array Syntax) (f : Syntax → m Syntax) : m (Array Syntax) :=
mapSepElemsMAux a f 0 #[]
def mapSepElems (a : Array Syntax) (f : Syntax → Syntax) : Array Syntax :=
Id.run $ a.mapSepElemsM f
end Array
/--
Gadget for automatic parameter support. This is similar to the `optParam` gadget, but it uses
the given tactic.
Like `optParam`, this gadget only affects elaboration.
For example, the tactic will *not* be invoked during type class resolution. -/
abbrev autoParam.{u} (α : Sort u) (tactic : Lean.Syntax) : Sort u := α