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Flocq
flocq
Commits
0e06838e
Commit
0e06838e
authored
Mar 04, 2010
by
Guillaume Melquiond
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Renamed Z(floor/ceil)_Z to _Z2R.
parent
fd490bb1
Changes
2
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2 changed files
with
10 additions
and
10 deletions
+10
-10
src/Core/Fcore_Raux.v
src/Core/Fcore_Raux.v
+7
-7
src/Core/Fcore_generic_fmt.v
src/Core/Fcore_generic_fmt.v
+3
-3
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src/Core/Fcore_Raux.v
View file @
0e06838e
...
...
@@ -333,7 +333,7 @@ apply Zfloor_lb.
now
apply
Zfloor_lub
.
Qed
.
Theorem
Zfloor_Z
:
Theorem
Zfloor_Z
2R
:
forall
n
,
Zfloor
(
Z2R
n
)
=
n
.
Proof
.
...
...
@@ -392,13 +392,13 @@ rewrite opp_Z2R.
now
apply
Ropp_lt_contravar
.
Qed
.
Theorem
Zceil_Z
:
Theorem
Zceil_Z
2R
:
forall
n
,
Zceil
(
Z2R
n
)
=
n
.
Proof
.
intros
n
.
unfold
Zceil
.
rewrite
<-
opp_Z2R
,
Zfloor_Z
.
rewrite
<-
opp_Z2R
,
Zfloor_Z
2R
.
apply
Zopp_involutive
.
Qed
.
...
...
@@ -431,8 +431,8 @@ Proof.
intros
n
.
unfold
Ztrunc
.
destruct
Rlt_le_dec
as
[
H
|
H
].
apply
Zceil_Z
.
apply
Zfloor_Z
.
apply
Zceil_Z
2R
.
apply
Zfloor_Z
2R
.
Qed
.
Theorem
Ztrunc_floor
:
...
...
@@ -458,8 +458,8 @@ destruct Rlt_le_dec as [_|H].
easy
.
rewrite
(
Rle_antisym
_
_
Hx
H
).
fold
(
Z2R
0
).
rewrite
Zceil_Z
.
apply
Zfloor_Z
.
rewrite
Zceil_Z
2R
.
apply
Zfloor_Z
2R
.
Qed
.
Theorem
Ztrunc_opp
:
...
...
src/Core/Fcore_generic_fmt.v
View file @
0e06838e
...
...
@@ -35,7 +35,7 @@ Theorem canonic_mantissa_0 :
Proof
.
unfold
canonic_mantissa
.
rewrite
Rmult_0_l
.
exact
(
Zfloor_Z
0
).
exact
(
Zfloor_Z
2R
0
).
Qed
.
*
)
...
...
@@ -75,7 +75,7 @@ rewrite Ropp_mult_distr_l_reverse.
rewrite
Rmult_assoc
,
<-
bpow_add
,
Zplus_opp_r
.
rewrite
Rmult_1_r
.
rewrite
<-
opp_Z2R
.
now
rewrite
2
!
Zfloor_Z
.
now
rewrite
2
!
Zfloor_Z
2R
.
Qed
.
*
)
...
...
@@ -598,7 +598,7 @@ destruct (total_order_T 0 x) as [[Hx|Hx]|Hx].
now
apply
generic_DN_pt_pos
.
rewrite
<-
Hx
,
Rmult_0_l
.
fold
(
Z2R
0
).
rewrite
Zfloor_Z
,
F2R_0
.
rewrite
Zfloor_Z
2R
,
F2R_0
.
apply
Rnd_DN_pt_refl
.
apply
generic_format_0
.
now
apply
generic_DN_pt_neg
.
...
...
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