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Additional version description like "nightly-2018-03-11"
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This function can be used to detect whether the compiler has support for generating LLVM instead of C. It is used by lake instead of the --features flag in order to avoid having to run a compiler for this every time on startup. See #2572.
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- Lean.isIdFirst c = (Char.isAlpha c || decide (c = Char.ofNat 95) || Lean.isLetterLike c)
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- Lean.Name.getRoot Lean.Name.anonymous = Lean.Name.anonymous
- Lean.Name.getRoot (Lean.Name.str Lean.Name.anonymous str) = Lean.Name.str Lean.Name.anonymous str
- Lean.Name.getRoot (Lean.Name.num Lean.Name.anonymous i) = Lean.Name.num Lean.Name.anonymous i
- Lean.Name.getRoot (Lean.Name.str n str) = Lean.Name.getRoot n
- Lean.Name.getRoot (Lean.Name.num n i) = Lean.Name.getRoot n
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- Lean.Name.isInaccessibleUserName (Lean.Name.str pre s) = (String.contains s (Char.ofNat 10013) || s == "_inaccessible")
- Lean.Name.isInaccessibleUserName (Lean.Name.num p i) = Lean.Name.isInaccessibleUserName p
- Lean.Name.isInaccessibleUserName x = false
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- Lean.Name.toStringWithSep sep escape Lean.Name.anonymous = "[anonymous]"
- Lean.Name.toStringWithSep sep escape (Lean.Name.str Lean.Name.anonymous s) = Lean.Name.toStringWithSep.maybeEscape escape s
- Lean.Name.toStringWithSep sep escape (Lean.Name.num Lean.Name.anonymous v) = toString v
- Lean.Name.toStringWithSep sep escape (Lean.Name.str n s) = Lean.Name.toStringWithSep sep escape n ++ sep ++ Lean.Name.toStringWithSep.maybeEscape escape s
- Lean.Name.toStringWithSep sep escape (Lean.Name.num n v) = Lean.Name.toStringWithSep sep escape n ++ sep ++ Nat.repr v
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- Lean.Name.toStringWithSep.maybeEscape escape s = if escape = true then Option.getD (Lean.Name.escapePart s) s else s
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- Lean.Name.toString.maybePseudoSyntax n = match Lean.Name.getRoot n with | Lean.Name.str pre s => String.isPrefixOf "#" s || String.isPrefixOf "?" s | x => false
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- Lean.Name.instToStringName = { toString := fun (n : Lake.Name) => Lean.Name.toString n }
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- Lean.Name.reprPrec Lean.Name.anonymous prec = Std.Format.text "Lean.Name.anonymous"
- Lean.Name.reprPrec (Lean.Name.num pre i) prec = Repr.addAppParen (Std.Format.text "Lean.Name.mkNum " ++ Lean.Name.reprPrec pre 1024 ++ Std.Format.text " " ++ repr i) prec
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- Lean.Name.instReprName = { reprPrec := Lean.Name.reprPrec }
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- Lean.Name.capitalize x = match x with | Lean.Name.str p s => Lean.Name.str p (String.capitalize s) | n => n
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- Lean.Name.replacePrefix Lean.Name.anonymous Lean.Name.anonymous x = x
- Lean.Name.replacePrefix Lean.Name.anonymous x✝ x = Lean.Name.anonymous
- Lean.Name.replacePrefix (Lean.Name.str p s) x✝ x = if (Lean.Name.str p s == x✝) = true then x else Lean.Name.mkStr (Lean.Name.replacePrefix p x✝ x) s
- Lean.Name.replacePrefix (Lean.Name.num p s) x✝ x = if (Lean.Name.num p s == x✝) = true then x else Lean.Name.mkNum (Lean.Name.replacePrefix p x✝ x) s
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eraseSuffix? n s
return n'
if n
is of the form n == n' ++ s
.
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- Lean.Name.eraseSuffix? x Lean.Name.anonymous = some x
- Lean.Name.eraseSuffix? (Lean.Name.str p s) (Lean.Name.str p' s') = if (s == s') = true then Lean.Name.eraseSuffix? p p' else none
- Lean.Name.eraseSuffix? (Lean.Name.num p s) (Lean.Name.num p' s') = if (s == s') = true then Lean.Name.eraseSuffix? p p' else none
- Lean.Name.eraseSuffix? x✝ x = none
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- Lean.NameGenerator.next g = { namePrefix := g.namePrefix, idx := g.idx + 1 }
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- Lean.NameGenerator.mkChild g = ({ namePrefix := Lean.Name.mkNum g.namePrefix g.idx, idx := 1 }, { namePrefix := g.namePrefix, idx := g.idx + 1 })
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- getNGen : m Lean.NameGenerator
- setNGen : Lean.NameGenerator → m Unit
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- Lean.mkFreshId = do let ngen ← Lean.getNGen let r : Lake.Name := Lean.NameGenerator.curr ngen Lean.setNGen (Lean.NameGenerator.next ngen) pure r
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- Lean.monadNameGeneratorLift m n = { getNGen := liftM Lean.getNGen, setNGen := fun (ngen : Lean.NameGenerator) => liftM (Lean.setNGen ngen) }
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- Lean.Syntax.instReprPreresolved = { reprPrec := Lean.Syntax.reprPreresolved✝ }
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- Lean.Syntax.instReprSyntax = { reprPrec := Lean.Syntax.reprSyntax✝ }
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- Lean.Syntax.instReprTSyntax = { reprPrec := Lean.Syntax.reprTSyntax✝ }
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- Lean.TSyntax.instCoeTSyntaxConsSyntaxNodeKindNil = { coe := fun (stx : Lean.TSyntax k) => { raw := stx.raw } }
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- Lean.TSyntax.instCoeTSyntaxConsSyntaxNodeKind = { coe := fun (stx : Lean.TSyntax ks) => { raw := stx.raw } }
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- Lean.TSyntax.instCoeIdentTerm = { coe := fun (s : Lean.Ident) => { raw := s.raw } }
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- Lean.TSyntax.instCoeDepTermMkConsSyntaxNodeKindMkStr1NilIdentIdent = { coe := { raw := Lean.Syntax.ident info ss n res } }
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- Lean.TSyntax.instCoeStrLitTerm = { coe := fun (s : Lean.StrLit) => { raw := s.raw } }
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- Lean.TSyntax.instCoeNameLitTerm = { coe := fun (s : Lean.NameLit) => { raw := s.raw } }
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- Lean.TSyntax.instCoeScientificLitTerm = { coe := fun (s : Lean.ScientificLit) => { raw := s.raw } }
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- Lean.TSyntax.instCoeNumLitTerm = { coe := fun (s : Lean.NumLit) => { raw := s.raw } }
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- Lean.TSyntax.instCoeCharLitTerm = { coe := fun (s : Lean.CharLit) => { raw := s.raw } }
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- Lean.TSyntax.instCoeIdentLevel = { coe := fun (s : Lean.Ident) => { raw := s.raw } }
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- Lean.TSyntax.instCoeNumLitPrio = { coe := fun (s : Lean.NumLit) => { raw := s.raw } }
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- Lean.TSyntax.instCoeNumLitPrec = { coe := fun (s : Lean.NumLit) => { raw := s.raw } }
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- Lean.TSyntax.Compat.instCoeTailSyntaxTSyntax = { coe := fun (s : Lean.Syntax) => { raw := s } }
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- Lean.TSyntax.Compat.instCoeTailArraySyntaxTSyntaxArray = { coe := Lean.TSyntaxArray.mk }
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Compare syntax structures modulo source info.
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- Lean.Syntax.instBEqSyntax = { beq := Lean.Syntax.structEq }
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- Lean.Syntax.instBEqTSyntax = { beq := fun (x x_1 : Lean.TSyntax k) => x.raw == x_1.raw }
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- Lean.Syntax.getTrailingSize stx = match Lean.Syntax.getTailInfo? stx with | some (Lean.SourceInfo.original leading pos trailing endPos) => Substring.bsize trailing | x => 0
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Return substring of original input covering stx
.
Result is meaningful only if all involved SourceInfo.original
s refer to the same string (as is the case after parsing).
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- Lean.Syntax.setTailInfo stx info = match Lean.Syntax.setTailInfoAux info stx with | some stx => stx | none => stx
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- Lean.Syntax.setHeadInfo stx info = match Lean.Syntax.setHeadInfoAux info stx with | some stx => stx | none => stx
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Return the first atom/identifier that has position information
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- Lean.Syntax.copyHeadTailInfoFrom target source = Lean.Syntax.setTailInfo (Lean.Syntax.setHeadInfo target (Lean.Syntax.getHeadInfo source)) (Lean.Syntax.getTailInfo source)
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Ensure head position is synthetic. The server regards syntax as "original" only if both head and tail info are original
.
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Use the head atom/identifier of the current ref
as the ref
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- Lean.withHeadRefOnly x = do let __do_lift ← Lean.getRef match Lean.Syntax.getHead? __do_lift with | none => x | some ref => Lean.withRef ref x
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Expand macros in the given syntax.
A node with kind k
is visited only if p k
is true.
Note that the default value for p
returns false for by ...
nodes.
This is a "hack". The tactic framework abuses the macro system to implement extensible tactics.
For example, one can define
syntax "my_trivial" : tactic -- extensible tactic
macro_rules | `(tactic| my_trivial) => `(tactic| decide)
macro_rules | `(tactic| my_trivial) => `(tactic| assumption)
When the tactic evaluator finds the tactic my_trivial
, it tries to evaluate the macro_rule
expansions
until one "works", i.e., the macro expansion is evaluated without producing an exception.
We say this solution is a bit hackish because the term elaborator may invoke expandMacros
with (p := fun _ => true)
,
and expand the tactic macros as just macros. In the example above, my_trivial
would be replaced with assumption
,
decide
would not be tried if assumption
fails at tactic evaluation time.
We are considering two possible solutions for this issue: 1- A proper extensible tactic feature that does not rely on the macro system.
2- Typed macros that know the syntax categories they're working in. Then, we would be able to select which
syntactic categories are expanded by expandMacros
.
Helper functions for processing Syntax programmatically #
Create an identifier copying the position from src
.
To refer to a specific constant, use mkCIdentFrom
instead.
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- Lean.mkIdentFrom src val canonical = { raw := Lean.Syntax.ident (Lean.SourceInfo.fromRef src canonical) (String.toSubstring (toString val)) val [] }
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- Lean.mkIdentFromRef val canonical = do let __do_lift ← Lean.getRef pure (Lean.mkIdentFrom __do_lift val canonical)
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Create an identifier referring to a constant c
copying the position from src
.
This variant of mkIdentFrom
makes sure that the identifier cannot accidentally
be captured.
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- Lean.mkCIdentFromRef c canonical = do let __do_lift ← Lean.getRef pure (Lean.mkCIdentFrom __do_lift c canonical).raw
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- Lean.mkIdent val = { raw := Lean.Syntax.ident Lean.SourceInfo.none (String.toSubstring (toString val)) val [] }
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- Lean.mkOptionalNode arg = match arg with | some arg => Lean.mkNullNode #[arg] | none => Lean.mkNullNode #[]
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- Lean.mkHole ref canonical = (Lean.mkNode `Lean.Parser.Term.hole #[Lean.mkAtomFrom ref "_" canonical]).raw
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- Lean.Syntax.mkSep a sep = Lean.mkNullNode (Lean.mkSepArray a sep)
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- Lean.Syntax.SepArray.ofElems elems = { elemsAndSeps := Lean.mkSepArray elems (if String.isEmpty sep = true then Lean.mkNullNode else Lean.mkAtom sep) }
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- Lean.Syntax.instCoeArraySyntaxSepArray = { coe := Lean.Syntax.SepArray.ofElems }
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- Lean.Syntax.instCoeTSyntaxArrayTSepArray = { coe := fun (a : Lean.TSyntaxArray k) => { elemsAndSeps := Lean.mkSepArray (Lean.TSyntaxArray.raw a) (Lean.mkAtom sep) } }
Create syntax representing a Lean term application, but avoid degenerate empty applications.
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- Lean.Syntax.mkApp fn x = match x with | #[] => fn | args => { raw := (Lean.mkNode `Lean.Parser.Term.app #[fn.raw, Lean.mkNullNode (Lean.TSyntaxArray.raw args)]).raw }
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- Lean.Syntax.mkCApp fn args = Lean.Syntax.mkApp { raw := (Lean.mkCIdent fn).raw } args
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- Lean.Syntax.mkLit kind val info = let atom := Lean.Syntax.atom info val; Lean.mkNode kind #[atom]
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- Lean.Syntax.mkStrLit val info = Lean.Syntax.mkLit Lean.strLitKind (String.quote val) info
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- Lean.Syntax.mkNumLit val info = Lean.Syntax.mkLit Lean.numLitKind val info
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- Lean.Syntax.mkScientificLit val info = Lean.Syntax.mkLit Lean.scientificLitKind val info
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- Lean.Syntax.mkNameLit val info = Lean.Syntax.mkLit Lean.nameLitKind val info
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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.
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Decodes a 'scientific number' string which is consumed by the OfScientific
class.
Takes as input a string such as 123
, 123.456e7
and returns a triple (n, sign, e)
with value given by
n * 10^-e
if sign
else n * 10^e
.
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- Lean.Syntax.isScientificLit? stx = match Lean.Syntax.isLit? Lean.scientificLitKind stx with | some val => Lean.Syntax.decodeScientificLitVal? val | x => none
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- Lean.Syntax.isIdOrAtom? x = match x with | Lean.Syntax.atom info val => some val | Lean.Syntax.ident info rawVal val preresolved => some (Substring.toString rawVal) | x => none
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- Lean.Syntax.toNat stx = match Lean.Syntax.isNatLit? stx with | some val => val | none => 0
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Decodes a valid string gap after the \
.
Note that this function matches "\" whitespace+
rather than
the more restrictive "\" newline whitespace*
since this simplifies the implementation.
Justification: this does not overlap with any other sequences beginning with \
.
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- Lean.Syntax.decodeStringGap s i = do guard (Char.isWhitespace (String.get s i) = true) some (String.nextWhile s Char.isWhitespace (String.next s i))
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Takes a raw string literal, counts the number of #
's after the r
, and interprets it as a string.
The position i
should start at 1
, which is the character after the leading r
.
The algorithm is simple: we are given r##...#"...string..."##...#
with zero or more #
s.
By counting the number of leading #
's, we can extract the ...string...
.
Takes the string literal lexical syntax parsed by the parser and interprets it as a string.
This is where escape sequences are processed for example.
The string s
is is either a plain string literal or a raw string literal.
If it returns none
then the string literal is ill-formed, which indicates a bug in the parser.
The function is not required to return none
if the string literal is ill-formed.
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If the provided Syntax
is a string literal, returns the string it represents.
Even if the Syntax
is a str
node, the function may return none
if its internally ill-formed.
The parser should always create well-formed str
nodes.
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- Lean.Syntax.isStrLit? stx = match Lean.Syntax.isLit? Lean.strLitKind stx with | some val => Lean.Syntax.decodeStrLit val | x => none
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- Lean.Syntax.isCharLit? stx = match Lean.Syntax.isLit? Lean.charLitKind stx with | some val => Lean.Syntax.decodeCharLit val | x => none
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Split a name literal (without the backtick) into its dot-separated components. For example,
foo.bla.«bo.o»
↦ ["foo", "bla", "«bo.o»"]
. If the literal cannot be parsed, return []
.
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- Lean.Syntax.isNameLit? stx = match Lean.Syntax.isLit? Lean.nameLitKind stx with | some val => Lean.Syntax.decodeNameLit val | x => none
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- Lean.Syntax.hasArgs x = match x with | Lean.Syntax.node info kind args => decide (Array.size args > 0) | x => false
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- Lean.Syntax.isAtom x = match x with | Lean.Syntax.atom info val => true | x => false
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- Lean.Syntax.isToken token x = match x with | Lean.Syntax.atom info val => String.trim val == String.trim token | x => false
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- Lean.Syntax.isNone stx = match stx with | Lean.Syntax.node info k args => k == Lean.nullKind && Array.size args == 0 | Lean.Syntax.missing => true | x => false
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- Lean.Syntax.getOptionalIdent? stx = match Lean.Syntax.getOptional? stx with | some stx => some (Lean.Syntax.getId stx) | none => none
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- Lean.Syntax.find? stx p = Lean.Syntax.findAux p stx
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- Lean.TSyntax.getNat s = Option.getD (Lean.Syntax.isNatLit? s.raw) 0
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- Lean.TSyntax.getId s = Lean.Syntax.getId s.raw
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- Lean.TSyntax.getScientific s = Option.getD (Lean.Syntax.isScientificLit? s.raw) (0, false, 0)
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- Lean.TSyntax.getString s = Option.getD (Lean.Syntax.isStrLit? s.raw) ""
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- Lean.TSyntax.getChar s = Option.getD (Lean.Syntax.isCharLit? s.raw) default
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- Lean.TSyntax.getHygieneInfo s = Lean.Syntax.getId s.raw[0]
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- Lean.instQuote = Lean.Quote.mk k' fun (a : α) => CoeHTCT.coe (Lean.quote k a)
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- Lean.instQuoteTermMkStr1 = Lean.Quote.mk `term id
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- Lean.instQuoteStringStrLitKind = Lean.Quote.mk Lean.strLitKind fun (val : String) => Lean.Syntax.mkStrLit val
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- Lean.instQuoteNatNumLitKind = Lean.Quote.mk Lean.numLitKind fun (n : Nat) => Lean.Syntax.mkNumLit (toString n)
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- Lean.instQuoteSubstringMkStr1 = Lean.Quote.mk `term fun (s : Substring) => Lean.Syntax.mkCApp `String.toSubstring' #[Lean.quote `term (Substring.toString s)]
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- Lean.quoteNameMk Lean.Name.anonymous = { raw := (Lean.mkCIdent `Lean.Name.anonymous).raw }
- Lean.quoteNameMk (Lean.Name.str p s) = Lean.Syntax.mkCApp `Lean.Name.mkStr #[Lean.quoteNameMk p, Lean.quote `term s]
- Lean.quoteNameMk (Lean.Name.num p n) = Lean.Syntax.mkCApp `Lean.Name.mkNum #[Lean.quoteNameMk p, Lean.quote `term n]
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- Lean.instQuoteProdMkStr1 = Lean.Quote.mk `term fun (x : α × β) => match x with | (a, b) => Lean.Syntax.mkCApp `Prod.mk #[Lean.quote `term a, Lean.quote `term b]
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- Lean.instQuoteListMkStr1 = Lean.Quote.mk `term Lean.quoteList
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- Lean.instQuoteArrayMkStr1 = Lean.Quote.mk `term Lean.quoteArray
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Evaluator for prec
DSL
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- Lean.termEval_prec_ = Lean.ParserDescr.node `Lean.termEval_prec_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "eval_prec ") (Lean.ParserDescr.cat `prec 1024))
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Evaluator for prio
DSL
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- Lean.termEval_prio_ = Lean.ParserDescr.node `Lean.termEval_prio_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "eval_prio ") (Lean.ParserDescr.cat `prio 1024))
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- Lean.evalOptPrio x = match x with | some prio => Lean.evalPrio prio.raw | none => pure 1000
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- Array.filterSepElemsM a p = Array.filterSepElemsMAux a p 0 #[]
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- Array.filterSepElems a p = Id.run (Array.filterSepElemsM a p)
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- Array.mapSepElemsM a f = Array.mapSepElemsMAux a f 0 #[]
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- Array.mapSepElems a f = Id.run (Array.mapSepElemsM a f)
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- Lean.Syntax.SepArray.getElems sa = Array.getSepElems sa.elemsAndSeps
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- Lean.Syntax.TSepArray.getElems sa = Lean.TSyntaxArray.mk (Array.getSepElems sa.elemsAndSeps)
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- Lean.Syntax.instCoeOutSepArrayArraySyntax = { coe := Lean.Syntax.SepArray.getElems }
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- Lean.Syntax.instCoeOutTSepArrayTSyntaxArray = { coe := Lean.Syntax.TSepArray.getElems }
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- Lean.Syntax.instCoeTSyntaxArray = { coe := fun (a : Lean.TSyntaxArray k) => Array.map Coe.coe a }
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- Lean.Syntax.instCoeOutTSyntaxArrayArraySyntax = { coe := fun (a : Lean.TSyntaxArray k) => Lean.TSyntaxArray.raw a }
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- Lean.Syntax.instCoeIdentTSyntaxConsSyntaxNodeKindMkStr4Nil = { coe := fun (id : Lean.Ident) => Lean.mkNode `Lean.Parser.Command.declId #[id.raw, Lean.mkNullNode #[]] }
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- Lean.Syntax.instCoeTermTSyntaxConsSyntaxNodeKindMkStr4Nil = { coe := fun (stx : Lean.Term) => { raw := stx.raw } }
Helper functions for manipulating interpolated strings #
Equations
- Lean.Syntax.isInterpolatedStrLit? stx = match Lean.Syntax.isLit? Lean.interpolatedStrLitKind stx with | none => none | some val => Lean.Syntax.decodeInterpStrLit val
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- Lean.Meta.instReprConfig_1 = { reprPrec := Lean.Meta.reprConfig✝ }
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- Lean.Meta.instReprConfig = { reprPrec := Lean.Meta.reprConfig✝ }
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- Lean.Meta.instReprTransparencyMode = { reprPrec := Lean.Meta.reprTransparencyMode✝ }
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- Lean.Meta.instReprEtaStructMode = { reprPrec := Lean.Meta.reprEtaStructMode✝ }
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- Lean.Meta.Occurrences.isAll x = match x with | Lean.Meta.Occurrences.all => true | x => false
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- transparency : Lean.Meta.TransparencyMode
- offsetCnstrs : Bool
- occs : Lean.Meta.Occurrences
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erw [rules]
is a shorthand for rw (config := { transparency := .default }) [rules]
.
This does rewriting up to unfolding of regular definitions (by comparison to regular rw
which only unfolds @[reducible]
definitions).
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simp!
is shorthand for simp
with autoUnfold := true
.
This will rewrite with all equation lemmas, which can be used to
partially evaluate many definitions.
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simp_arith
is shorthand for simp
with arith := true
and decide := true
.
This enables the use of normalization by linear arithmetic.
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simp_arith!
is shorthand for simp_arith
with autoUnfold := true
.
This will rewrite with all equation lemmas, which can be used to
partially evaluate many definitions.
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simp_all!
is shorthand for simp_all
with autoUnfold := true
.
This will rewrite with all equation lemmas, which can be used to
partially evaluate many definitions.
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simp_all_arith
combines the effects of simp_all
and simp_arith
.
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simp_all_arith!
combines the effects of simp_all
, simp_arith
and simp!
.
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dsimp!
is shorthand for dsimp
with autoUnfold := true
.
This will rewrite with all equation lemmas, which can be used to
partially evaluate many definitions.
Equations
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