(* *********************************************************************)
(*                                                                     *)
(*              The Compcert verified compiler                         *)
(*                                                                     *)
(*          Xavier Leroy, INRIA Paris-Rocquencourt                     *)
(*           Prashanth Mundkur, SRI International                      *)
(*                                                                     *)
(*  Copyright Institut National de Recherche en Informatique et en     *)
(*  Automatique.  All rights reserved.  This file is distributed       *)
(*  under the terms of the INRIA Non-Commercial License Agreement.     *)
(*                                                                     *)
(*  The contributions by Prashanth Mundkur are reused and adapted      *)
(*  under the terms of a Contributor License Agreement between         *)
(*  SRI International and INRIA.                                       *)
(*                                                                     *)
(* *********************************************************************)
(** Decomposition of integer constants. *)

(* Specifications: *)
Lemma make_immed32_sound:
forall n,
match make_immed32 n with
| Imm32_single imm => n = imm
| Imm32_pair hi lo => n = Int.add (Int.shl hi (Int.repr 12)) lo
end.
Lemma make_immed64_sound:
forall n,
match make_immed64 n with
| Imm64_single imm => n = imm
| Imm64_pair hi lo => n = Int64.add (Int64.sign_ext 32 (Int64.shl hi (Int64.repr 12))) lo
| Imm64_large imm => n = imm
end.