aboutsummaryrefslogtreecommitdiffstats
path: root/flocq/Core/Fcore_defs.v
diff options
context:
space:
mode:
authorGuillaume Melquiond <guillaume.melquiond@inria.fr>2019-02-13 18:53:17 +0100
committerXavier Leroy <xavierleroy@users.noreply.github.com>2019-03-27 11:38:25 +0100
commit0f919eb26c68d3882e612a1b3a9df45bee6d3624 (patch)
treeb8bcf57e06d761be09b8d2cf2f80741acb1e4949 /flocq/Core/Fcore_defs.v
parentd5c0b4054c8490bda3b3d191724c58d5d4002e58 (diff)
downloadcompcert-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_defs.v')
-rw-r--r--flocq/Core/Fcore_defs.v101
1 files changed, 0 insertions, 101 deletions
diff --git a/flocq/Core/Fcore_defs.v b/flocq/Core/Fcore_defs.v
deleted file mode 100644
index 01b868ab..00000000
--- a/flocq/Core/Fcore_defs.v
+++ /dev/null
@@ -1,101 +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.
-*)
-
-(** * Basic definitions: float and rounding property *)
-Require Import Fcore_Raux.
-
-Section Def.
-
-(** Definition of a floating-point number *)
-Record float (beta : radix) := Float { Fnum : Z ; Fexp : Z }.
-
-Arguments Fnum {beta} f.
-Arguments Fexp {beta} f.
-
-Variable beta : radix.
-
-Definition F2R (f : float beta) :=
- (Z2R (Fnum f) * bpow beta (Fexp f))%R.
-
-(** Requirements on a rounding mode *)
-Definition round_pred_total (P : R -> R -> Prop) :=
- forall x, exists f, P x f.
-
-Definition round_pred_monotone (P : R -> R -> Prop) :=
- forall x y f g, P x f -> P y g -> (x <= y)%R -> (f <= g)%R.
-
-Definition round_pred (P : R -> R -> Prop) :=
- round_pred_total P /\
- round_pred_monotone P.
-
-End Def.
-
-Arguments Fnum {beta} f.
-Arguments Fexp {beta} f.
-Arguments F2R {beta} f.
-
-Section RND.
-
-(** property of being a round toward -inf *)
-Definition Rnd_DN_pt (F : R -> Prop) (x f : R) :=
- F f /\ (f <= x)%R /\
- forall g : R, F g -> (g <= x)%R -> (g <= f)%R.
-
-Definition Rnd_DN (F : R -> Prop) (rnd : R -> R) :=
- forall x : R, Rnd_DN_pt F x (rnd x).
-
-(** property of being a round toward +inf *)
-Definition Rnd_UP_pt (F : R -> Prop) (x f : R) :=
- F f /\ (x <= f)%R /\
- forall g : R, F g -> (x <= g)%R -> (f <= g)%R.
-
-Definition Rnd_UP (F : R -> Prop) (rnd : R -> R) :=
- forall x : R, Rnd_UP_pt F x (rnd x).
-
-(** property of being a round toward zero *)
-Definition Rnd_ZR_pt (F : R -> Prop) (x f : R) :=
- ( (0 <= x)%R -> Rnd_DN_pt F x f ) /\
- ( (x <= 0)%R -> Rnd_UP_pt F x f ).
-
-Definition Rnd_ZR (F : R -> Prop) (rnd : R -> R) :=
- forall x : R, Rnd_ZR_pt F x (rnd x).
-
-(** property of being a round to nearest *)
-Definition Rnd_N_pt (F : R -> Prop) (x f : R) :=
- F f /\
- forall g : R, F g -> (Rabs (f - x) <= Rabs (g - x))%R.
-
-Definition Rnd_N (F : R -> Prop) (rnd : R -> R) :=
- forall x : R, Rnd_N_pt F x (rnd x).
-
-Definition Rnd_NG_pt (F : R -> Prop) (P : R -> R -> Prop) (x f : R) :=
- Rnd_N_pt F x f /\
- ( P x f \/ forall f2 : R, Rnd_N_pt F x f2 -> f2 = f ).
-
-Definition Rnd_NG (F : R -> Prop) (P : R -> R -> Prop) (rnd : R -> R) :=
- forall x : R, Rnd_NG_pt F P x (rnd x).
-
-Definition Rnd_NA_pt (F : R -> Prop) (x f : R) :=
- Rnd_N_pt F x f /\
- forall f2 : R, Rnd_N_pt F x f2 -> (Rabs f2 <= Rabs f)%R.
-
-Definition Rnd_NA (F : R -> Prop) (rnd : R -> R) :=
- forall x : R, Rnd_NA_pt F x (rnd x).
-
-End RND.