(************************************************************************) (* * The Rocq Prover / The Rocq Development Team *) (* v * Copyright INRIA, CNRS and contributors *) (* t -> t val of_fun : (t -> t) -> t val eta_expand : t -> t type ('a,'b) eq = ('a,'b) Util.eq = Refl : ('a,'a) eq val t_eq : (t, t -> t) eq (** When -rectypes, matching on this makes [t = ('a -> 'a) as 'a]. When not -rectypes, it does nothing AFAICT so you have to generalize your problem to use this. *) type accumulator type tag = int type arity = int type reloc_table = (tag * arity) array type annot_sw = { asw_ind : inductive; asw_reloc : reloc_table; asw_prefix : string } type sort_annot = string * int type rec_pos = int array val eq_rec_pos : rec_pos -> rec_pos -> bool type vcofix type atom = | Arel of int | Aconstant of pconstant | Aind of pinductive | Asort of Sorts.t | Avar of Id.t | Acase of annot_sw * accumulator * t * t | Afix of t array * t array * rec_pos * int | Acofix of t array * t array * int * t array * vcofix | Aevar of Evar.t * t array (* arguments *) | Aproj of (inductive * int) * accumulator type symbol = | SymbValue of t | SymbSort of Sorts.t | SymbName of Name.t | SymbConst of Constant.t | SymbMatch of annot_sw | SymbInd of inductive | SymbEvar of Evar.t | SymbInstance of UVars.Instance.t | SymbProj of (inductive * int) type symbols = symbol array val empty_symbols : symbols (* Constructors *) val mk_accu : atom -> t val mk_rel_accu : int -> t val mk_rels_accu : int -> int -> t array val mk_constant_accu : Constant.t -> UVars.Instance.t -> t val mk_ind_accu : inductive -> UVars.Instance.t -> t val mk_sort_accu : Sorts.t -> t val mk_var_accu : Id.t -> t val mk_sw_accu : annot_sw -> accumulator -> t -> (t -> t) val mk_fix_accu : rec_pos -> int -> t array -> t array -> t val mk_cofix_accu : int -> t array -> t array -> (unit -> t) -> t array -> t val mk_evar_accu : Evar.t -> t array -> t val mk_proj_accu : (inductive * int) -> accumulator -> t val force_cofix : t -> t external mk_const : tag -> t = "%identity" val mk_block : tag -> t array -> t val mk_prod : Name.t -> t -> t -> t external mk_int : int -> t = "%identity" external mk_uint : Uint63.t -> t = "%identity" external mk_float : Float64.t -> t = "%identity" external mk_string : Pstring.t -> t = "%identity" val napply : t -> t array -> t (* Functions over accumulators *) val atom_of_accu : accumulator -> atom val args_of_accu : accumulator -> t list val accu_nargs : accumulator -> int external cast_accu : t -> accumulator = "%identity" (* Functions over block: i.e constructors *) type block val block_size : block -> int val block_field : block -> int -> t val block_tag : block -> int (* kind_of_value *) type kind = (t, accumulator, t -> t, Name.t * t * t, Util.Empty.t, Util.Empty.t, block) Values.kind val kind_of_value : t -> kind val str_encode : 'a -> string val str_decode : string -> 'a (** Support for machine integers *) val val_to_int : t -> int val is_int : t -> bool (* function with check *) val head0 : t -> t -> t val tail0 : t -> t -> t val add : t -> t -> t -> t val sub : t -> t -> t -> t val mul : t -> t -> t -> t val div : t -> t -> t -> t val rem : t -> t -> t -> t val divs : t -> t -> t -> t val rems : t -> t -> t -> t val l_sr : t -> t -> t -> t val l_sl : t -> t -> t -> t val a_sr : t -> t -> t -> t val l_and : t -> t -> t -> t val l_xor : t -> t -> t -> t val l_or : t -> t -> t -> t val addc : t -> t -> t -> t val subc : t -> t -> t -> t val addCarryC : t -> t -> t -> t val subCarryC : t -> t -> t -> t val mulc : t -> t -> t -> t val diveucl : t -> t -> t -> t val div21 : t -> t -> t -> t -> t val addMulDiv : t -> t -> t -> t -> t val eq : t -> t -> t -> t val lt : t -> t -> t -> t val le : t -> t -> t -> t val lts : t -> t -> t -> t val les : t -> t -> t -> t val compare : t -> t -> t -> t val compares : t -> t -> t -> t val print : t -> t (* Function without check *) val no_check_head0 : t -> t val no_check_tail0 : t -> t val no_check_add : t -> t -> t val no_check_sub : t -> t -> t val no_check_mul : t -> t -> t val no_check_div : t -> t -> t val no_check_rem : t -> t -> t val no_check_divs : t -> t -> t val no_check_rems : t -> t -> t val no_check_l_sr : t -> t -> t val no_check_l_sl : t -> t -> t val no_check_a_sr : t -> t -> t val no_check_l_and : t -> t -> t val no_check_l_xor : t -> t -> t val no_check_l_or : t -> t -> t val no_check_addc : t -> t -> t val no_check_subc : t -> t -> t val no_check_addCarryC : t -> t -> t val no_check_subCarryC : t -> t -> t val no_check_mulc : t -> t -> t val no_check_diveucl : t -> t -> t val no_check_div21 : t -> t -> t -> t val no_check_addMulDiv : t -> t -> t -> t val no_check_eq : t -> t -> t val no_check_lt : t -> t -> t val no_check_le : t -> t -> t val no_check_lts : t -> t -> t val no_check_les : t -> t -> t val no_check_compare : t -> t -> t val no_check_compares : t -> t -> t (** Support for machine floating point values *) val is_float : t -> bool val fopp : t -> t -> t val fabs : t -> t -> t val feq : t -> t -> t -> t val flt : t -> t -> t -> t val fle : t -> t -> t -> t val fcompare : t -> t -> t -> t val fequal : t -> t -> t -> t val fclassify : t -> t -> t val fadd : t -> t -> t -> t val fsub : t -> t -> t -> t val fmul : t -> t -> t -> t val fdiv : t -> t -> t -> t val fsqrt : t -> t -> t val float_of_int : t -> t -> t val normfr_mantissa : t -> t -> t val frshiftexp : t -> t -> t val ldshiftexp : t -> t -> t -> t val next_up : t -> t -> t val next_down : t -> t -> t (* Function without check *) val no_check_fopp : t -> t val no_check_fabs : t -> t val no_check_feq : t -> t -> t val no_check_flt : t -> t -> t val no_check_fle : t -> t -> t val no_check_fcompare : t -> t -> t val no_check_fequal : t -> t -> t val no_check_fclassify : t -> t val no_check_fadd : t -> t -> t val no_check_fsub : t -> t -> t val no_check_fmul : t -> t -> t val no_check_fdiv : t -> t -> t val no_check_fsqrt : t -> t val no_check_float_of_int : t -> t val no_check_normfr_mantissa : t -> t val no_check_frshiftexp : t -> t val no_check_ldshiftexp : t -> t -> t val no_check_next_up : t -> t val no_check_next_down : t -> t (** Support for strings *) val is_string : t -> bool val no_check_string_make : t -> t -> t val no_check_string_length : t -> t val no_check_string_get : t -> t -> t val no_check_string_sub : t -> t -> t -> t val no_check_string_cat : t -> t -> t val no_check_string_compare : t -> t -> t val string_make : t -> t -> t -> t val string_length : t -> t -> t val string_get : t -> t -> t -> t val string_sub : t -> t -> t -> t -> t val string_cat : t -> t -> t -> t val string_compare : t -> t -> t -> t (** Support for arrays *) val parray_of_array : t -> t -> t val is_parray : t -> bool val arraymake : t -> t -> t -> t -> t (* accu A n def *) val arrayget : t -> t -> t -> t -> t (* accu A t n *) val arraydefault : t -> t -> t -> t (* accu A t *) val arrayset : t -> t -> t -> t -> t -> t (* accu A t n v *) val arraycopy : t -> t -> t -> t (* accu A t *) val arraylength : t -> t -> t -> t (* accu A t *) val no_check_arraymake : t -> t -> t val no_check_arrayget : t -> t -> t val no_check_arraydefault : t -> t val no_check_arrayset : t -> t -> t -> t val no_check_arraycopy : t -> t val no_check_arraylength : t -> t