diff options
Diffstat (limited to 'flocq/Appli/Fappli_double_round.v')
| -rw-r--r-- | flocq/Appli/Fappli_double_round.v | 62 |
1 files changed, 32 insertions, 30 deletions
diff --git a/flocq/Appli/Fappli_double_round.v b/flocq/Appli/Fappli_double_round.v index 2c4937ab..82f61da3 100644 --- a/flocq/Appli/Fappli_double_round.v +++ b/flocq/Appli/Fappli_double_round.v @@ -5,6 +5,7 @@ Require Import Fcore_defs. Require Import Fcore_generic_fmt. Require Import Fcalc_ops. Require Import Fcore_ulp. +Require Fcore_FLX Fcore_FLT Fcore_FTZ. Require Import Psatz. @@ -659,7 +660,7 @@ Qed. Section Double_round_mult_FLX. -Require Import Fcore_FLX. +Import Fcore_FLX. Variable prec : Z. Variable prec' : Z. @@ -685,8 +686,8 @@ End Double_round_mult_FLX. Section Double_round_mult_FLT. -Require Import Fcore_FLX. -Require Import Fcore_FLT. +Import Fcore_FLX. +Import Fcore_FLT. Variable emin prec : Z. Variable emin' prec' : Z. @@ -718,7 +719,8 @@ End Double_round_mult_FLT. Section Double_round_mult_FTZ. -Require Import Fcore_FTZ. +Import Fcore_FLX. +Import Fcore_FTZ. Variable emin prec : Z. Variable emin' prec' : Z. @@ -796,7 +798,7 @@ Lemma ln_beta_minus_disj : \/ (ln_beta (x - y) = (ln_beta x - 1)%Z :> Z)). Proof. intros x y Px Py Hln. -assert (Hxy : y < x); [now apply (ln_beta_lt_pos beta); [| |omega]|]. +assert (Hxy : y < x); [now apply (ln_beta_lt_pos beta); [ |omega]|]. generalize (ln_beta_minus beta x y Py Hxy); intro Hln2. generalize (ln_beta_minus_lb beta x y Px Py Hln); intro Hln3. omega. @@ -1611,7 +1613,7 @@ Qed. Section Double_round_plus_FLX. -Require Import Fcore_FLX. +Import Fcore_FLX. Variable prec : Z. Variable prec' : Z. @@ -1667,8 +1669,8 @@ End Double_round_plus_FLX. Section Double_round_plus_FLT. -Require Import Fcore_FLX. -Require Import Fcore_FLT. +Import Fcore_FLX. +Import Fcore_FLT. Variable emin prec : Z. Variable emin' prec' : Z. @@ -1739,8 +1741,8 @@ End Double_round_plus_FLT. Section Double_round_plus_FTZ. -Require Import Fcore_FLX. -Require Import Fcore_FTZ. +Import Fcore_FLX. +Import Fcore_FTZ. Variable emin prec : Z. Variable emin' prec' : Z. @@ -2325,7 +2327,7 @@ Qed. Section Double_round_plus_beta_ge_3_FLX. -Require Import Fcore_FLX. +Import Fcore_FLX. Variable prec : Z. Variable prec' : Z. @@ -2385,8 +2387,8 @@ End Double_round_plus_beta_ge_3_FLX. Section Double_round_plus_beta_ge_3_FLT. -Require Import Fcore_FLX. -Require Import Fcore_FLT. +Import Fcore_FLX. +Import Fcore_FLT. Variable emin prec : Z. Variable emin' prec' : Z. @@ -2461,8 +2463,8 @@ End Double_round_plus_beta_ge_3_FLT. Section Double_round_plus_beta_ge_3_FTZ. -Require Import Fcore_FLX. -Require Import Fcore_FTZ. +Import Fcore_FLX. +Import Fcore_FTZ. Variable emin prec : Z. Variable emin' prec' : Z. @@ -2880,7 +2882,7 @@ Qed. Section Double_round_sqrt_FLX. -Require Import Fcore_FLX. +Import Fcore_FLX. Variable prec : Z. Variable prec' : Z. @@ -2917,8 +2919,8 @@ End Double_round_sqrt_FLX. Section Double_round_sqrt_FLT. -Require Import Fcore_FLX. -Require Import Fcore_FLT. +Import Fcore_FLX. +Import Fcore_FLT. Variable emin prec : Z. Variable emin' prec' : Z. @@ -2972,8 +2974,8 @@ End Double_round_sqrt_FLT. Section Double_round_sqrt_FTZ. -Require Import Fcore_FLX. -Require Import Fcore_FTZ. +Import Fcore_FLX. +Import Fcore_FTZ. Variable emin prec : Z. Variable emin' prec' : Z. @@ -3318,7 +3320,7 @@ Qed. Section Double_round_sqrt_beta_ge_4_FLX. -Require Import Fcore_FLX. +Import Fcore_FLX. Variable prec : Z. Variable prec' : Z. @@ -3357,8 +3359,8 @@ End Double_round_sqrt_beta_ge_4_FLX. Section Double_round_sqrt_beta_ge_4_FLT. -Require Import Fcore_FLX. -Require Import Fcore_FLT. +Import Fcore_FLX. +Import Fcore_FLT. Variable emin prec : Z. Variable emin' prec' : Z. @@ -3414,8 +3416,8 @@ End Double_round_sqrt_beta_ge_4_FLT. Section Double_round_sqrt_beta_ge_4_FTZ. -Require Import Fcore_FLX. -Require Import Fcore_FTZ. +Import Fcore_FLX. +Import Fcore_FTZ. Variable emin prec : Z. Variable emin' prec' : Z. @@ -4401,7 +4403,7 @@ Qed. Section Double_round_div_FLX. -Require Import Fcore_FLX. +Import Fcore_FLX. Variable prec : Z. Variable prec' : Z. @@ -4445,8 +4447,8 @@ End Double_round_div_FLX. Section Double_round_div_FLT. -Require Import Fcore_FLX. -Require Import Fcore_FLT. +Import Fcore_FLX. +Import Fcore_FLT. Variable emin prec : Z. Variable emin' prec' : Z. @@ -4515,8 +4517,8 @@ End Double_round_div_FLT. Section Double_round_div_FTZ. -Require Import Fcore_FLX. -Require Import Fcore_FTZ. +Import Fcore_FLX. +Import Fcore_FTZ. Variable emin prec : Z. Variable emin' prec' : Z. |