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The Coq Proof Assistant
Library Stdlib.Floats.FloatLemmas
Require
Import
ZArith
Uint63
SpecFloat
PrimFloat
FloatOps
FloatAxioms
.
Require
Import
Psatz
.
Support results involving frexp and ldexp
Lemma
shift_value
:
shift
=
(2
*
emax
+
prec
)%
Z
.
Theorem
Z_frexp_spec
:
forall
f
,
let
(
m
,
e
) :=
Z.frexp
f
in
(
Prim2SF
m
,
e
)
=
SFfrexp
prec
emax
(
Prim2SF
f
).
Theorem
Z_ldexp_spec
:
forall
f
e
,
Prim2SF
(
Z.ldexp
f
e
)
=
SFldexp
prec
emax
(
Prim2SF
f
)
e
.
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