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(************************************************************************)
(* * The Coq Proof Assistant / The Coq Development Team *)
(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
(* <O___,, * (see CREDITS file for the list of authors) *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
(** [t] is currently implemented by OCaml's [float] type.
Beware: NaNs have a sign and a payload, while they should be
indistinguishable from Coq's perspective. *)
type t
val is_nan : t -> bool
val to_string : t -> string
val of_string : string -> t
val of_float : float -> t
val opp : t -> t
val abs : t -> t
type float_comparison = Eq | Lt | Gt | NotComparable
(** The IEEE 754 float comparison.
* NotComparable is returned if there is a NaN in the arguments *)
val compare : t -> t -> float_comparison
val mul : t -> t -> t
val add : t -> t -> t
val sub : t -> t -> t
val div : t -> t -> t
val sqrt : t -> t
(** Link with integers *)
val of_int63 : Uint63.t -> t
val normfr_mantissa : t -> Uint63.t
(** Shifted exponent extraction *)
val frshiftexp : t -> t * Uint63.t (* float remainder, shifted exponent *)
val ldshiftexp : t -> Uint63.t -> t
(** Return true if two floats are equal.
* All NaN values are considered equal. *)
val equal : t -> t -> bool
val hash : t -> int
(** Total order relation over float values. Behaves like [Pervasives.compare].*)
val total_compare : t -> t -> int
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