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author | Guillaume Melquiond <guillaume.melquiond@inria.fr> | 2019-02-13 18:53:17 +0100 |
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committer | Xavier Leroy <xavierleroy@users.noreply.github.com> | 2019-03-27 11:38:25 +0100 |
commit | 0f919eb26c68d3882e612a1b3a9df45bee6d3624 (patch) | |
tree | b8bcf57e06d761be09b8d2cf2f80741acb1e4949 /flocq/Core/Fcore_FIX.v | |
parent | d5c0b4054c8490bda3b3d191724c58d5d4002e58 (diff) | |
download | compcert-0f919eb26c68d3882e612a1b3a9df45bee6d3624.tar.gz compcert-0f919eb26c68d3882e612a1b3a9df45bee6d3624.zip |
Upgrade embedded version of Flocq to 3.1.
Main changes to CompCert outside of Flocq are as follows:
- Minimal supported version of Coq is now 8.7, due to Flocq requirements.
- Most modifications are due to Z2R being dropped in favor of IZR and to
the way Flocq now handles NaNs.
- CompCert now correctly handles NaNs for the Risc-V architecture
(hopefully).
Diffstat (limited to 'flocq/Core/Fcore_FIX.v')
-rw-r--r-- | flocq/Core/Fcore_FIX.v | 100 |
1 files changed, 0 insertions, 100 deletions
diff --git a/flocq/Core/Fcore_FIX.v b/flocq/Core/Fcore_FIX.v deleted file mode 100644 index e224a64a..00000000 --- a/flocq/Core/Fcore_FIX.v +++ /dev/null @@ -1,100 +0,0 @@ -(** -This file is part of the Flocq formalization of floating-point -arithmetic in Coq: http://flocq.gforge.inria.fr/ - -Copyright (C) 2010-2013 Sylvie Boldo -#<br /># -Copyright (C) 2010-2013 Guillaume Melquiond - -This library is free software; you can redistribute it and/or -modify it under the terms of the GNU Lesser General Public -License as published by the Free Software Foundation; either -version 3 of the License, or (at your option) any later version. - -This library is distributed in the hope that it will be useful, -but WITHOUT ANY WARRANTY; without even the implied warranty of -MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -COPYING file for more details. -*) - -(** * Fixed-point format *) -Require Import Fcore_Raux. -Require Import Fcore_defs. -Require Import Fcore_rnd. -Require Import Fcore_generic_fmt. -Require Import Fcore_ulp. -Require Import Fcore_rnd_ne. - -Section RND_FIX. - -Variable beta : radix. - -Notation bpow := (bpow beta). - -Variable emin : Z. - -(* fixed-point format with exponent emin *) -Definition FIX_format (x : R) := - exists f : float beta, - x = F2R f /\ (Fexp f = emin)%Z. - -Definition FIX_exp (e : Z) := emin. - -(** Properties of the FIX format *) - -Global Instance FIX_exp_valid : Valid_exp FIX_exp. -Proof. -intros k. -unfold FIX_exp. -split ; intros H. -now apply Zlt_le_weak. -split. -apply Zle_refl. -now intros _ _. -Qed. - -Theorem generic_format_FIX : - forall x, FIX_format x -> generic_format beta FIX_exp x. -Proof. -intros x ((xm, xe), (Hx1, Hx2)). -rewrite Hx1. -now apply generic_format_canonic. -Qed. - -Theorem FIX_format_generic : - forall x, generic_format beta FIX_exp x -> FIX_format x. -Proof. -intros x H. -rewrite H. -eexists ; repeat split. -Qed. - -Theorem FIX_format_satisfies_any : - satisfies_any FIX_format. -Proof. -refine (satisfies_any_eq _ _ _ (generic_format_satisfies_any beta FIX_exp)). -intros x. -split. -apply FIX_format_generic. -apply generic_format_FIX. -Qed. - -Global Instance FIX_exp_monotone : Monotone_exp FIX_exp. -Proof. -intros ex ey H. -apply Zle_refl. -Qed. - -Theorem ulp_FIX: forall x, ulp beta FIX_exp x = bpow emin. -Proof. -intros x; unfold ulp. -case Req_bool_spec; intros Zx. -case (negligible_exp_spec FIX_exp). -intros T; specialize (T (emin-1)%Z); contradict T. -unfold FIX_exp; omega. -intros n _; reflexivity. -reflexivity. -Qed. - - -End RND_FIX. |