<s>
GiNaC	B-Language
is	O
a	O
free	B-Application
computer	B-General_Concept
algebra	I-General_Concept
system	I-General_Concept
released	O
under	O
the	O
GNU	B-License
General	I-License
Public	I-License
License	I-License
.	O
</s>
<s>
The	O
name	O
is	O
a	O
recursive	O
acronym	O
for	O
"	O
GiNaC	B-Language
is	O
Not	O
a	O
CAS	O
"	O
(	O
Computer	B-General_Concept
Algebra	I-General_Concept
System	I-General_Concept
)	O
.	O
</s>
<s>
This	O
is	O
similar	O
to	O
the	O
GNU	B-Operating_System
acronym	O
"	O
GNU	B-Operating_System
is	O
not	O
Unix	O
"	O
.	O
</s>
<s>
What	O
distinguishes	O
GiNaC	B-Language
from	O
most	O
other	O
computer	B-General_Concept
algebra	I-General_Concept
systems	I-General_Concept
is	O
that	O
it	O
does	O
not	O
provide	O
a	O
high-level	O
interface	O
for	O
user	O
interaction	O
.	O
</s>
<s>
Rather	O
,	O
it	O
encourages	O
its	O
users	O
to	O
write	O
symbolic	B-Algorithm
algorithms	O
directly	O
in	O
C++	B-Language
,	O
which	O
is	O
GiNaC	B-Language
's	O
implementation	O
programming	O
language	O
.	O
</s>
<s>
Algebraic	O
syntax	O
is	O
achieved	O
in	O
C++	B-Language
through	O
the	O
use	O
of	O
operator	O
overloading	O
.	O
</s>
<s>
The	O
name	O
GiNaC	B-Language
is	O
also	O
explained	O
by	O
its	O
developers	O
 '	O
perception	O
that	O
most	O
"	O
computer	B-General_Concept
algebra	I-General_Concept
systems	I-General_Concept
"	O
put	O
too	O
much	O
emphasis	O
on	O
a	O
high-level	O
interface	O
and	O
too	O
little	O
on	O
interoperability	O
.	O
</s>
<s>
GiNaC	B-Language
uses	O
the	O
CLN	B-Language
library	O
for	O
implementing	O
arbitrary-precision	B-Algorithm
arithmetic	I-Algorithm
.	O
</s>
<s>
Symbolically	O
,	O
it	O
can	O
do	O
multivariate	O
polynomial	O
arithmetic	O
,	O
factor	O
polynomials	O
,	O
compute	O
GCDs	O
,	O
expand	O
series	O
,	O
and	O
compute	O
with	O
matrices	B-Architecture
.	O
</s>
<s>
Due	O
to	O
this	O
,	O
it	O
is	O
extensively	O
used	O
in	O
dimensional	B-Algorithm
regularization	I-Algorithm
computations	O
–	O
but	O
it	O
is	O
not	O
restricted	O
to	O
physics	O
.	O
</s>
<s>
GiNaC	B-Language
is	O
the	O
symbolic	B-Algorithm
foundation	O
in	O
several	O
open-source	B-Application
projects	O
:	O
there	O
is	O
a	O
symbolic	B-Algorithm
extension	O
for	O
GNU	B-Language
Octave	I-Language
,	O
a	O
simulator	O
for	O
magnetic	O
resonance	O
imaging	O
,	O
and	O
since	O
May	O
2009	O
,	O
,	O
a	O
fork	B-Application
of	O
GiNaC	B-Language
,	O
provides	O
the	O
backend	O
for	O
symbolic	B-Algorithm
expressions	O
in	O
SageMath	B-Application
.	O
</s>
