<s>
Class	B-Language
Library	I-Language
for	I-Language
Numbers	I-Language
(	O
CLN	O
)	O
is	O
a	O
free	B-Application
library	B-Library
for	O
arbitrary	B-Algorithm
precision	I-Algorithm
arithmetic	I-Algorithm
.	O
</s>
<s>
It	O
operates	O
on	O
signed	O
integers	O
,	O
rational	O
numbers	O
,	O
floating	B-Algorithm
point	I-Algorithm
numbers	I-Algorithm
,	O
complex	O
numbers	O
,	O
modular	O
numbers	O
,	O
and	O
univariate	O
polynomials	O
.	O
</s>
<s>
Its	O
implementation	O
programming	O
language	O
is	O
C++	B-Language
.	O
</s>
<s>
CLN	O
uses	O
object	B-Language
oriented	I-Language
techniques	O
and	O
operator	O
overloading	O
to	O
achieve	O
a	O
natural	O
algebraic	O
syntax	O
:	O
The	O
sum	O
x	O
of	O
two	O
variables	O
a	O
and	O
b	O
is	O
written	O
as	O
x	O
=	O
a+b	O
,	O
as	O
opposed	O
to	O
the	O
function	O
sum( &x	O
,	O
a	O
,	O
b	O
)	O
.	O
</s>
<s>
CLN	O
uses	O
class	B-Language
inheritance	I-Language
to	O
model	O
the	O
natural	O
subsets	O
of	O
the	O
available	O
number	O
types	O
:	O
E.g.	O
</s>
<s>
The	O
complex	O
numbers	O
and	O
all	O
its	O
subtypes	O
behave	O
exactly	O
like	O
the	O
types	O
of	O
numbers	O
known	O
to	O
the	O
Common	B-Language
Lisp	I-Language
language	I-Language
,	O
giving	O
CLN	O
another	O
meaning	O
:	O
it	O
becomes	O
an	O
abbreviation	O
of	O
Common	B-Language
Lisp	I-Language
Numbers	O
.	O
</s>
<s>
Due	O
to	O
this	O
,	O
CLN	O
can	O
be	O
and	O
is	O
used	O
for	O
implementations	O
of	O
Common	B-Language
Lisp	I-Language
,	O
other	O
interpreted	O
languages	O
,	O
or	O
computer	B-General_Concept
algebra	I-General_Concept
systems	I-General_Concept
.	O
</s>
<s>
It	O
can	O
be	O
configured	O
to	O
use	O
the	O
GNU	B-Application
Multi-Precision	I-Application
Library	I-Application
as	O
kernel	O
for	O
speed-critical	O
inner	O
loops	O
and	O
implements	O
advanced	O
algorithms	O
like	O
Schönhage	B-Algorithm
–	I-Algorithm
Strassen	I-Algorithm
multiplication	I-Algorithm
,	O
binary	B-Algorithm
splitting	I-Algorithm
and	O
others	O
.	O
</s>
<s>
All	O
CLN	O
objects	O
are	O
either	O
immediate	O
or	O
reference	B-General_Concept
counted	I-General_Concept
,	O
providing	O
for	O
non-interruptive	O
garbage	B-General_Concept
collection	I-General_Concept
with	O
no	O
burden	O
on	O
the	O
main	O
application	O
.	O
</s>
