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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(*i $Id: tacexpr.ml 14641 2011-11-06 11:59:10Z herbelin $ i*)
open Names
open Topconstr
open Libnames
open Nametab
open Rawterm
open Util
open Genarg
open Pattern
open Decl_kinds
type 'a or_metaid = AI of 'a | MetaId of loc * string
type direction_flag = bool (* true = Left-to-right false = right-to-right *)
type lazy_flag = bool (* true = lazy false = eager *)
type evars_flag = bool (* true = pose evars false = fail on evars *)
type rec_flag = bool (* true = recursive false = not recursive *)
type advanced_flag = bool (* true = advanced false = basic *)
type split_flag = bool (* true = exists false = split *)
type hidden_flag = bool (* true = internal use false = user-level *)
type letin_flag = bool (* true = use local def false = use Leibniz *)
type raw_red_flag =
| FBeta
| FIota
| FZeta
| FConst of reference or_by_notation list
| FDeltaBut of reference or_by_notation list
let make_red_flag =
let rec add_flag red = function
| [] -> red
| FBeta :: lf -> add_flag { red with rBeta = true } lf
| FIota :: lf -> add_flag { red with rIota = true } lf
| FZeta :: lf -> add_flag { red with rZeta = true } lf
| FConst l :: lf ->
if red.rDelta then
error
"Cannot set both constants to unfold and constants not to unfold";
add_flag { red with rConst = list_union red.rConst l } lf
| FDeltaBut l :: lf ->
if red.rConst <> [] & not red.rDelta then
error
"Cannot set both constants to unfold and constants not to unfold";
add_flag
{ red with rConst = list_union red.rConst l; rDelta = true }
lf
in
add_flag
{rBeta = false; rIota = false; rZeta = false; rDelta = false; rConst = []}
type 'a raw_hyp_location = 'a with_occurrences * Termops.hyp_location_flag
type 'id move_location =
| MoveAfter of 'id
| MoveBefore of 'id
| MoveToEnd of bool
let no_move = MoveToEnd true
open Pp
let pr_move_location pr_id = function
| MoveAfter id -> brk(1,1) ++ str "after " ++ pr_id id
| MoveBefore id -> brk(1,1) ++ str "before " ++ pr_id id
| MoveToEnd toleft -> str (if toleft then " at bottom" else " at top")
type 'a induction_arg =
| ElimOnConstr of 'a
| ElimOnIdent of identifier located
| ElimOnAnonHyp of int
type inversion_kind =
| SimpleInversion
| FullInversion
| FullInversionClear
type ('c,'id) inversion_strength =
| NonDepInversion of
inversion_kind * 'id list * intro_pattern_expr located option
| DepInversion of
inversion_kind * 'c option * intro_pattern_expr located option
| InversionUsing of 'c * 'id list
type ('a,'b) location = HypLocation of 'a | ConclLocation of 'b
type 'id message_token =
| MsgString of string
| MsgInt of int
| MsgIdent of 'id
(* onhyps:
[None] means *on every hypothesis*
[Some l] means on hypothesis belonging to l *)
type 'id gclause =
{ onhyps : 'id raw_hyp_location list option;
concl_occs : occurrences_expr }
let nowhere = {onhyps=Some[]; concl_occs=no_occurrences_expr}
let goal_location_of = function
| { onhyps = Some [scl]; concl_occs = occs } when occs = no_occurrences_expr ->
Some scl
| { onhyps = Some []; concl_occs = occs } when occs = all_occurrences_expr ->
None
| _ ->
error "Not a simple \"in\" clause (one hypothesis or the conclusion)"
type 'constr induction_clause =
('constr with_bindings induction_arg list * 'constr with_bindings option *
(intro_pattern_expr located option * intro_pattern_expr located option))
type ('constr,'id) induction_clause_list =
'constr induction_clause list * 'id gclause option
type multi =
| Precisely of int
| UpTo of int
| RepeatStar
| RepeatPlus
(* Type of patterns *)
type 'a match_pattern =
| Term of 'a
| Subterm of bool * identifier option * 'a
(* Type of hypotheses for a Match Context rule *)
type 'a match_context_hyps =
| Hyp of name located * 'a match_pattern
| Def of name located * 'a match_pattern * 'a match_pattern
(* Type of a Match rule for Match Context and Match *)
type ('a,'t) match_rule =
| Pat of 'a match_context_hyps list * 'a match_pattern * 't
| All of 't
type ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_atomic_tactic_expr =
(* Basic tactics *)
| TacIntroPattern of intro_pattern_expr located list
| TacIntrosUntil of quantified_hypothesis
| TacIntroMove of identifier option * 'id move_location
| TacAssumption
| TacExact of 'constr
| TacExactNoCheck of 'constr
| TacVmCastNoCheck of 'constr
| TacApply of advanced_flag * evars_flag * 'constr with_bindings list *
('id * intro_pattern_expr located option) option
| TacElim of evars_flag * 'constr with_bindings *
'constr with_bindings option
| TacElimType of 'constr
| TacCase of evars_flag * 'constr with_bindings
| TacCaseType of 'constr
| TacFix of identifier option * int
| TacMutualFix of hidden_flag * identifier * int * (identifier * int *
'constr) list
| TacCofix of identifier option
| TacMutualCofix of hidden_flag * identifier * (identifier * 'constr) list
| TacCut of 'constr
| TacAssert of 'tac option * intro_pattern_expr located option * 'constr
| TacGeneralize of ('constr with_occurrences * name) list
| TacGeneralizeDep of 'constr
| TacLetTac of name * 'constr * 'id gclause * letin_flag
(* Derived basic tactics *)
| TacSimpleInductionDestruct of rec_flag * quantified_hypothesis
| TacInductionDestruct of rec_flag * evars_flag * ('constr,'id) induction_clause_list
| TacDoubleInduction of quantified_hypothesis * quantified_hypothesis
| TacDecomposeAnd of 'constr
| TacDecomposeOr of 'constr
| TacDecompose of 'ind list * 'constr
| TacSpecialize of int option * 'constr with_bindings
| TacLApply of 'constr
(* Automation tactics *)
| TacTrivial of 'constr list * string list option
| TacAuto of int or_var option * 'constr list * string list option
| TacAutoTDB of int option
| TacDestructHyp of (bool * identifier located)
| TacDestructConcl
| TacSuperAuto of (int option * reference list * bool * bool)
| TacDAuto of int or_var option * int option * 'constr list
(* Context management *)
| TacClear of bool * 'id list
| TacClearBody of 'id list
| TacMove of bool * 'id * 'id move_location
| TacRename of ('id *'id) list
| TacRevert of 'id list
(* Constructors *)
| TacLeft of evars_flag * 'constr bindings
| TacRight of evars_flag * 'constr bindings
| TacSplit of evars_flag * split_flag * 'constr bindings list
| TacAnyConstructor of evars_flag * 'tac option
| TacConstructor of evars_flag * int or_metaid * 'constr bindings
(* Conversion *)
| TacReduce of ('constr,'cst,'pat) red_expr_gen * 'id gclause
| TacChange of 'pat option * 'constr * 'id gclause
(* Equivalence relations *)
| TacReflexivity
| TacSymmetry of 'id gclause
| TacTransitivity of 'constr option
(* Equality and inversion *)
| TacRewrite of
evars_flag * (bool * multi * 'constr with_bindings) list * 'id gclause * 'tac option
| TacInversion of ('constr,'id) inversion_strength * quantified_hypothesis
(* For ML extensions *)
| TacExtend of loc * string * 'lev generic_argument list
(* For syntax extensions *)
| TacAlias of loc * string *
(identifier * 'lev generic_argument) list
* (dir_path * glob_tactic_expr)
and ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr =
| TacAtom of loc * ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_atomic_tactic_expr
| TacThen of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr *
('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr array *
('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr *
('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr array
| TacThens of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr *
('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr list
| TacFirst of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr list
| TacComplete of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr
| TacSolve of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr list
| TacTry of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr
| TacOrelse of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr * ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr
| TacDo of int or_var * ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr
| TacRepeat of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr
| TacProgress of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr
| TacAbstract of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr * identifier option
| TacId of 'id message_token list
| TacFail of int or_var * 'id message_token list
| TacInfo of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr
| TacLetIn of rec_flag * (identifier located * ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_arg) list * ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr
| TacMatch of lazy_flag * ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr * ('pat,('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr) match_rule list
| TacMatchGoal of lazy_flag * direction_flag * ('pat,('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr) match_rule list
| TacFun of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_fun_ast
| TacArg of ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_arg
and ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_fun_ast =
identifier option list * ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_expr
(* These are the possible arguments of a tactic definition *)
and ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_arg =
| TacDynamic of loc * Dyn.t
| TacVoid
| MetaIdArg of loc * bool * string
| ConstrMayEval of ('constr,'cst,'pat) may_eval
| IntroPattern of intro_pattern_expr located
| Reference of 'ref
| Integer of int
| TacCall of loc *
'ref * ('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_arg list
| TacExternal of loc * string * string *
('constr,'pat,'cst,'ind,'ref,'id,'tac,'lev) gen_tactic_arg list
| TacFreshId of string or_var list
| Tacexp of 'tac
(* Globalized tactics *)
and glob_tactic_expr =
(rawconstr_and_expr,
rawconstr_and_expr * constr_pattern,
evaluable_global_reference and_short_name or_var,
inductive or_var,
ltac_constant located or_var,
identifier located,
glob_tactic_expr,
glevel) gen_tactic_expr
type raw_tactic_expr =
(constr_expr,
constr_pattern_expr,
reference or_by_notation,
reference or_by_notation,
reference,
identifier located or_metaid,
raw_tactic_expr,
rlevel) gen_tactic_expr
type raw_atomic_tactic_expr =
(constr_expr, (* constr *)
constr_pattern_expr, (* pattern *)
reference or_by_notation, (* evaluable reference *)
reference or_by_notation, (* inductive *)
reference, (* ltac reference *)
identifier located or_metaid, (* identifier *)
raw_tactic_expr,
rlevel) gen_atomic_tactic_expr
type raw_tactic_arg =
(constr_expr,
constr_pattern_expr,
reference or_by_notation,
reference or_by_notation,
reference,
identifier located or_metaid,
raw_tactic_expr,
rlevel) gen_tactic_arg
type raw_generic_argument = rlevel generic_argument
type raw_red_expr =
(constr_expr, reference or_by_notation, constr_expr) red_expr_gen
type glob_atomic_tactic_expr =
(rawconstr_and_expr,
rawconstr_and_expr * constr_pattern,
evaluable_global_reference and_short_name or_var,
inductive or_var,
ltac_constant located or_var,
identifier located,
glob_tactic_expr,
glevel) gen_atomic_tactic_expr
type glob_tactic_arg =
(rawconstr_and_expr,
rawconstr_and_expr * constr_pattern,
evaluable_global_reference and_short_name or_var,
inductive or_var,
ltac_constant located or_var,
identifier located,
glob_tactic_expr,
glevel) gen_tactic_arg
type glob_generic_argument = glevel generic_argument
type glob_red_expr =
(rawconstr_and_expr, evaluable_global_reference or_var, constr_pattern)
red_expr_gen
type typed_generic_argument = tlevel generic_argument
type 'a raw_abstract_argument_type = ('a,rlevel) abstract_argument_type
type 'a glob_abstract_argument_type = ('a,glevel) abstract_argument_type
type 'a typed_abstract_argument_type = ('a,tlevel) abstract_argument_type
type declaration_hook = locality -> global_reference -> unit
|