<s>
In	O
computing	O
,	O
tapered	B-Algorithm
floating	I-Algorithm
point	I-Algorithm
(	O
TFP	O
)	O
is	O
a	O
format	O
similar	O
to	O
floating	B-Algorithm
point	I-Algorithm
,	O
but	O
with	O
variable-sized	O
entries	O
for	O
the	O
significand	B-Algorithm
and	O
exponent	O
instead	O
of	O
the	O
fixed-length	O
entries	O
found	O
in	O
normal	O
floating-point	B-Algorithm
formats	I-Algorithm
.	O
</s>
<s>
In	O
addition	O
to	O
this	O
,	O
tapered	B-Algorithm
floating-point	I-Algorithm
formats	I-Algorithm
provide	O
a	O
fixed-size	O
pointer	O
entry	O
indicating	O
the	O
number	O
of	O
digits	O
in	O
the	O
exponent	O
entry	O
.	O
</s>
<s>
The	O
number	O
of	O
digits	O
of	O
the	O
significand	B-Algorithm
entry	O
(	O
including	O
the	O
sign	O
)	O
results	O
from	O
the	O
difference	O
of	O
the	O
fixed	O
total	O
length	O
minus	O
the	O
length	O
of	O
the	O
exponent	O
and	O
pointer	O
entries	O
.	O
</s>
<s>
whose	O
order	O
of	O
magnitude	O
is	O
close	O
to	O
the	O
one	O
of	O
1	O
,	O
have	O
a	O
higher	O
relative	B-General_Concept
precision	I-General_Concept
than	O
those	O
with	O
a	O
large	O
exponent	O
.	O
</s>
<s>
The	O
tapered	B-Algorithm
floating-point	I-Algorithm
scheme	I-Algorithm
was	O
first	O
proposed	O
by	O
Robert	O
Morris	O
of	O
Bell	O
Laboratories	O
in	O
1971	O
,	O
and	O
refined	O
with	O
leveling	O
by	O
Masao	O
Iri	O
and	O
Shouichi	O
Matsui	O
of	O
University	O
of	O
Tokyo	O
in	O
1981	O
,	O
and	O
by	O
Hozumi	O
Hamada	O
of	O
Hitachi	O
,	O
Ltd	O
.	O
</s>
<s>
Alan	O
Feldstein	O
of	O
Arizona	O
State	O
University	O
and	O
Peter	O
Turner	O
of	O
Clarkson	O
University	O
described	O
a	O
tapered	O
scheme	O
resembling	O
a	O
conventional	O
floating-point	B-Algorithm
system	O
except	O
for	O
the	O
overflow	O
or	O
underflow	O
conditions	O
.	O
</s>
<s>
In	O
2013	O
,	O
John	O
Gustafson	O
proposed	O
the	O
Unum	O
number	O
system	O
,	O
a	O
variant	O
of	O
tapered	B-Algorithm
floating-point	I-Algorithm
arithmetic	I-Algorithm
with	O
an	O
exact	O
bit	O
added	O
to	O
the	O
representation	O
and	O
some	O
interval	B-Algorithm
interpretation	O
to	O
the	O
non-exact	O
values	O
.	O
</s>
