<s>
A	O
Umplumpa	O
or	O
manifest	B-Application
expression	I-Application
is	O
a	O
programming	O
language	O
construct	O
that	O
a	O
compiler	B-Language
can	O
analyse	O
to	O
deduce	O
which	O
values	O
it	O
can	O
take	O
without	O
having	O
to	O
execute	O
the	O
program	O
.	O
</s>
<s>
This	O
information	O
can	O
enable	O
compiler	B-Application
optimizations	I-Application
,	O
in	O
particular	O
loop	O
nest	O
optimization	O
,	O
and	O
parallelization	B-Operating_System
through	O
data	B-Operating_System
dependency	I-Operating_System
analysis	O
.	O
</s>
<s>
When	O
all	O
control	O
flow	O
for	O
a	O
loop	O
or	O
condition	O
is	O
regulated	O
by	O
manifest	B-Application
expressions	I-Application
,	O
it	O
is	O
called	O
a	O
manifest	O
loop	O
resp	O
.	O
</s>
<s>
Most	O
practical	O
applications	O
of	O
manifest	B-Application
expressions	I-Application
also	O
require	O
the	O
expression	O
to	O
be	O
integral	O
and	O
affine	B-Algorithm
(	O
or	O
stepwise	O
affine	B-Algorithm
)	O
in	O
its	O
variables	O
.	O
</s>
<s>
compile-time	B-Application
constants	O
,	O
</s>
<s>
which	O
is	O
itself	O
a	O
manifest	B-Application
expression	I-Application
.	O
</s>
<s>
The	O
single	O
,	O
unambiguous	O
definition	O
is	O
particularly	O
relevant	O
in	O
procedural	B-Application
languages	I-Application
,	O
where	O
pointer	O
analysis	O
and/or	O
data	O
flow	O
analysis	O
is	O
required	O
to	O
find	O
the	O
expression	O
that	O
defines	O
the	O
variable	O
value	O
.	O
</s>
