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| author | François Pottier <francois.pottier@inria.fr> | 2015-10-23 15:08:33 +0200 |
|---|---|---|
| committer | François Pottier <francois.pottier@inria.fr> | 2015-10-23 15:08:33 +0200 |
| commit | 8b817cda643d180d43ab8c84809ca2d55c7dd3df (patch) | |
| tree | 812fe2f7ec68c03c5f0762f1266f383193bbfe92 /flocq/Core/Fcore_FTZ.v | |
| parent | c46723c0169145d41d1879c236f53314456f1ba1 (diff) | |
| parent | 1cb3d93ff278ebbd0c6967c5f9401a97f9b618b4 (diff) | |
| download | compcert-8b817cda643d180d43ab8c84809ca2d55c7dd3df.tar.gz compcert-8b817cda643d180d43ab8c84809ca2d55c7dd3df.zip | |
Merge remote branch 'upstream/master' into clean
Conflicts:
Makefile.extr
Diffstat (limited to 'flocq/Core/Fcore_FTZ.v')
| -rw-r--r-- | flocq/Core/Fcore_FTZ.v | 17 |
1 files changed, 16 insertions, 1 deletions
diff --git a/flocq/Core/Fcore_FTZ.v b/flocq/Core/Fcore_FTZ.v index 5f3e5337..2ebc7851 100644 --- a/flocq/Core/Fcore_FTZ.v +++ b/flocq/Core/Fcore_FTZ.v @@ -23,6 +23,7 @@ Require Import Fcore_defs. Require Import Fcore_rnd. Require Import Fcore_generic_fmt. Require Import Fcore_float_prop. +Require Import Fcore_ulp. Require Import Fcore_FLX. Section RND_FTZ. @@ -182,7 +183,6 @@ Theorem FTZ_format_FLXN : (bpow (emin + prec - 1) <= Rabs x)%R -> FLXN_format beta prec x -> FTZ_format x. Proof. -clear prec_gt_0_. intros x Hx Fx. apply FTZ_format_generic. apply generic_format_FLXN in Fx. @@ -195,6 +195,21 @@ apply Zle_refl. omega. Qed. +Theorem ulp_FTZ_0: ulp beta FTZ_exp 0 = bpow (emin+prec-1). +Proof with auto with typeclass_instances. +unfold ulp; rewrite Req_bool_true; trivial. +case (negligible_exp_spec FTZ_exp). +intros T; specialize (T (emin-1)%Z); contradict T. +apply Zle_not_lt; unfold FTZ_exp; unfold Prec_gt_0 in prec_gt_0_. +rewrite Zlt_bool_true; omega. +assert (V:(FTZ_exp (emin+prec-1) = emin+prec-1)%Z). +unfold FTZ_exp; rewrite Zlt_bool_true; omega. +intros n H2; rewrite <-V. +apply f_equal, fexp_negligible_exp_eq... +omega. +Qed. + + Section FTZ_round. (** Rounding with FTZ *) |