(***********************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* 'a val anomalylabstrm : string -> std_ppcmds -> 'a exception UserError of string * std_ppcmds val error : string -> 'a val errorlabstrm : string -> std_ppcmds -> 'a (* [todo] is for running of an incomplete code its implementation is "do nothing" (or print a message), but this function should not be used in a released code *) val todo : string -> unit type loc = int * int type 'a located = loc * 'a val dummy_loc : loc val anomaly_loc : loc * string * std_ppcmds -> 'a val user_err_loc : loc * string * std_ppcmds -> 'a val invalid_arg_loc : loc * string -> 'a val join_loc : loc -> loc -> loc (*s Chars. *) val is_letter : char -> bool val is_digit : char -> bool (*s Strings. *) val explode : string -> string list val implode : string list -> string val parse_loadpath : string -> string list module Stringset : Set.S with type elt = string module Stringmap : Map.S with type key = string val stringmap_to_list : 'a Stringmap.t -> (string * 'a) list val stringmap_dom : 'a Stringmap.t -> string list (*s Lists. *) val list_add_set : 'a -> 'a list -> 'a list val list_intersect : 'a list -> 'a list -> 'a list val list_union : 'a list -> 'a list -> 'a list val list_unionq : 'a list -> 'a list -> 'a list val list_subtract : 'a list -> 'a list -> 'a list val list_subtractq : 'a list -> 'a list -> 'a list val list_chop : int -> 'a list -> 'a list * 'a list (* [list_tabulate f n] builds [[f 0; ...; f (n-1)]] *) val list_tabulate : (int -> 'a) -> int -> 'a list val list_assign : 'a list -> int -> 'a -> 'a list val list_distinct : 'a list -> bool val list_filter2 : ('a -> 'b -> bool) -> 'a list * 'b list -> 'a list * 'b list (* [list_smartmap f [a1...an] = List.map f [a1...an]] but if for all i [ f ai == ai], then [list_smartmap f l==l] *) val list_smartmap : ('a -> 'a) -> 'a list -> 'a list val list_map_left : ('a -> 'b) -> 'a list -> 'b list val list_map_i : (int -> 'a -> 'b) -> int -> 'a list -> 'b list val list_map2_i : (int -> 'a -> 'b -> 'c) -> int -> 'a list -> 'b list -> 'c list val list_map3 : ('a -> 'b -> 'c -> 'd) -> 'a list -> 'b list -> 'c list -> 'd list val list_index : 'a -> 'a list -> int val list_iter_i : (int -> 'a -> unit) -> 'a list -> unit val list_fold_left_i : (int -> 'a -> 'b -> 'a) -> int -> 'a -> 'b list -> 'a val list_fold_right_and_left : ('a -> 'b -> 'b list -> 'a) -> 'b list -> 'a -> 'a val list_for_all_i : (int -> 'a -> bool) -> int -> 'a list -> bool val list_except : 'a -> 'a list -> 'a list val list_for_all2eq : ('a -> 'b -> bool) -> 'a list -> 'b list -> bool val list_sep_last : 'a list -> 'a * 'a list val list_try_find_i : (int -> 'a -> 'b) -> int -> 'a list -> 'b val list_try_find : ('a -> 'b) -> 'a list -> 'b val list_uniquize : 'a list -> 'a list val list_subset : 'a list -> 'a list -> bool val list_splitby : ('a -> bool) -> 'a list -> 'a list * 'a list val list_split3 : ('a * 'b * 'c) list -> 'a list * 'b list * 'c list val list_firstn : int -> 'a list -> 'a list val list_last : 'a list -> 'a val list_lastn : int -> 'a list -> 'a list val list_prefix_of : 'a list -> 'a list -> bool (* [map_append f [x1; ...; xn]] returns [(f x1)@(f x2)@...@(f xn)] *) val list_map_append : ('a -> 'b list) -> 'a list -> 'b list (* raises [Invalid_argument] if the two lists don't have the same length *) val list_map_append2 : ('a -> 'b -> 'c list) -> 'a list -> 'b list -> 'c list val list_share_tails : 'a list -> 'a list -> 'a list * 'a list * 'a list val list_join_map : ('a -> 'b list) -> 'a list -> 'b list (* [list_fold_map f e_0 [l_1...l_n] = e_n,[k_1...k_n]] where [(e_i,k_i)=f e_{i-1} l_i] *) val list_fold_map : ('a -> 'b -> 'a * 'c) -> 'a -> 'b list -> 'a * 'c list val list_map_assoc : ('a -> 'b) -> ('c * 'a) list -> ('c * 'b) list (*s Arrays. *) val array_exists : ('a -> bool) -> 'a array -> bool val array_for_all : ('a -> bool) -> 'a array -> bool val array_for_all2 : ('a -> 'b -> bool) -> 'a array -> 'b array -> bool val array_hd : 'a array -> 'a val array_tl : 'a array -> 'a array val array_last : 'a array -> 'a val array_cons : 'a -> 'a array -> 'a array val array_fold_right_i : (int -> 'b -> 'a -> 'a) -> 'b array -> 'a -> 'a val array_fold_left_i : (int -> 'a -> 'b -> 'a) -> 'a -> 'b array -> 'a val array_fold_right2 : ('a -> 'b -> 'c -> 'c) -> 'a array -> 'b array -> 'c -> 'c val array_fold_left2 : ('a -> 'b -> 'c -> 'a) -> 'a -> 'b array -> 'c array -> 'a val array_fold_left2_i : (int -> 'a -> 'b -> 'c -> 'a) -> 'a -> 'b array -> 'c array -> 'a val array_fold_left_from : int -> ('a -> 'b -> 'a) -> 'a -> 'b array -> 'a val array_fold_right_from : int -> ('a -> 'b -> 'b) -> 'a array -> 'b -> 'b val array_app_tl : 'a array -> 'a list -> 'a list val array_list_of_tl : 'a array -> 'a list val array_map_to_list : ('a -> 'b) -> 'a array -> 'b list val array_chop : int -> 'a array -> 'a array * 'a array val array_smartmap : ('a -> 'a) -> 'a array -> 'a array val array_map2 : ('a -> 'b -> 'c) -> 'a array -> 'b array -> 'c array val array_map2_i : (int -> 'a -> 'b -> 'c) -> 'a array -> 'b array -> 'c array val array_map3 : ('a -> 'b -> 'c -> 'd) -> 'a array -> 'b array -> 'c array -> 'd array (*s Matrices *) val matrix_transpose : 'a list list -> 'a list list (*s Functions. *) val identity : 'a -> 'a val compose : ('a -> 'b) -> ('c -> 'a) -> 'c -> 'b val iterate : ('a -> 'a) -> int -> 'a -> 'a val repeat : int -> ('a -> unit) -> 'a -> unit val iterate_for : int -> int -> (int -> 'a -> 'a) -> 'a -> 'a (*s Misc. *) type ('a,'b) union = Inl of 'a | Inr of 'b module Intset : Set.S with type elt = int val intset_exists : (int -> bool) -> Intset.t -> bool module Intmap : Map.S with type key = int val intmap_in_dom : int -> 'a Intmap.t -> bool val intmap_to_list : 'a Intmap.t -> (int * 'a) list val intmap_inv : 'a Intmap.t -> 'a -> int list val interval : int -> int -> int list val in_some : 'a -> 'a option val out_some : 'a option -> 'a val option_app : ('a -> 'b) -> 'a option -> 'b option val option_cons : 'a option -> 'a list -> 'a list val option_fold_left2 : ('a -> 'b -> 'c -> 'a) -> 'a -> 'b option -> 'c option -> 'a val option_iter : ('a -> unit) -> 'a option -> unit val option_compare : ('a -> 'b -> bool) -> 'a option -> 'b option -> bool val option_smartmap : ('a -> 'a) -> 'a option -> 'a option (* In [map_succeed f l] an element [a] is removed if [f a] raises *) (* [Failure _] otherwise behaves as [List.map f l] *) val map_succeed : ('a -> 'b) -> 'a list -> 'b list (*s Pretty-printing. *) val pr_spc : unit -> std_ppcmds val pr_fnl : unit -> std_ppcmds val pr_int : int -> std_ppcmds val pr_str : string -> std_ppcmds val pr_coma : unit -> std_ppcmds val pr_semicolon : unit -> std_ppcmds val pr_bar : unit -> std_ppcmds val pr_ord : int -> std_ppcmds val prlist : ('a -> std_ppcmds) -> 'a list -> std_ppcmds val prvecti : (int -> 'a -> std_ppcmds) -> 'a array -> std_ppcmds val prlist_with_sep : (unit -> std_ppcmds) -> ('b -> std_ppcmds) -> 'b list -> std_ppcmds val prvect_with_sep : (unit -> std_ppcmds) -> ('b -> std_ppcmds) -> 'b array -> std_ppcmds val pr_vertical_list : ('b -> std_ppcmds) -> 'b list -> std_ppcmds (*s Size of an ocaml value (in words, bytes and kilobytes). *) val size_w : 'a -> int val size_b : 'a -> int val size_kb : 'a -> int (*s Total size of the allocated ocaml heap. *) val heap_size : unit -> int val heap_size_kb : unit -> int (*s Coq interruption: set the following boolean reference to interrupt Coq (it eventually raises [Break], simulating a Ctrl-C) *) val interrupt : bool ref val check_for_interrupt : unit -> unit