<s>
ILNumerics	B-Language
is	O
a	O
mathematical	O
class	B-Library
library	I-Library
for	O
Common	O
Language	O
Infrastructure	O
(	O
CLI	O
)	O
developers	O
and	O
a	O
domain	B-Language
specific	I-Language
language	I-Language
(	O
DSL	O
)	O
for	O
the	O
implementation	O
of	O
numerical	B-General_Concept
algorithms	I-General_Concept
on	O
the	O
.NET	B-Application
platform	I-Application
.	O
</s>
<s>
development	B-Application
environments	I-Application
and	O
general	B-Language
purpose	I-Language
programming	I-Language
languages	I-Language
(	O
GPL	O
)	O
.	O
</s>
<s>
ILNumerics	B-Language
is	O
an	O
extension	O
to	O
Visual	B-Application
Studio	I-Application
and	O
aims	O
at	O
supporting	O
the	O
creation	O
of	O
technical	O
applications	B-Application
based	O
on	O
.NET	B-Application
.	O
</s>
<s>
ILNumerics	B-Language
started	O
in	O
2006	O
as	O
an	O
open	O
source	O
project	O
,	O
originating	O
from	O
the	O
Technical	O
University	O
of	O
Berlin	O
.	O
</s>
<s>
In	O
2007	O
ILNumerics	B-Language
won	O
the	O
BASTA	O
!	O
</s>
<s>
Innovation	O
Awards	O
2007	O
as	O
most	O
innovative	O
.NET	B-Application
project	O
in	O
Germany	O
,	O
Switzerland	B-Protocol
and	O
Austria	O
.	O
</s>
<s>
After	O
6	O
years	O
of	O
open	O
source	O
development	O
,	O
the	O
project	O
added	O
a	O
closed	B-Application
source	I-Application
,	O
proprietary	B-Application
license	I-Application
in	O
2011	O
,	O
aiming	O
business	O
and	O
academic	O
developers	O
at	O
the	O
same	O
time	O
.	O
</s>
<s>
The	O
.NET	B-Application
framework	I-Application
was	O
selected	O
as	O
a	O
managed	O
foundation	O
,	O
since	O
earlier	O
attempts	O
on	O
the	O
Java	B-Device
platform	I-Device
had	O
been	O
abandoned	O
due	O
to	O
technical	O
limitations	O
.	O
</s>
<s>
Similarly	O
,	O
the	O
.NET	B-Application
framework	I-Application
has	O
not	O
been	O
designed	O
with	O
the	O
focus	O
on	O
requirements	O
of	O
technical	O
application	O
development	O
.	O
</s>
<s>
ILNumerics	B-Language
added	O
interfaces	O
to	O
popular	O
codes	O
(	O
LAPACK	B-Application
,	O
FFTW	B-Application
)	O
,	O
complex	O
numbers	O
and	O
generic	O
mult-dimensional	O
array	O
classes	O
.	O
</s>
<s>
The	O
technological	O
goal	O
is	O
to	O
establish	O
the	O
.NET	B-Application
framework	I-Application
as	O
a	O
feasible	O
alternative	O
to	O
unmanaged	O
languages	B-Language
for	O
numeric	O
computing	O
.	O
</s>
<s>
ILNumerics	B-Language
implements	O
base	O
functionality	O
frequently	O
needed	O
for	O
application	O
development	O
in	O
technical	O
areas	O
:	O
N-dimensional	O
arrays	B-Data_Structure
,	O
complex	O
numbers	O
,	O
linear	B-Language
algebra	I-Language
,	O
FFT	O
and	O
plotting	O
controls	O
(	O
2D	O
and	O
3D	O
)	O
.	O
</s>
<s>
The	O
array	O
classes	O
are	O
fully	O
compatible	O
with	O
the	O
array	O
features	O
of	O
Matlab(R )	O
and	O
numpy	B-Application
,	O
including	O
internal	O
storage	O
order	O
,	O
subarray	O
creation	O
,	O
expansion	O
,	O
and	O
advanced	O
indexing	O
.	O
</s>
<s>
Higher	O
level	O
functionality	O
is	O
provided	O
by	O
toolboxes	O
for	O
interpolation	B-Algorithm
,	O
optimization	O
,	O
statistics	O
,	O
HDF5	B-Application
and	O
machine	O
learning	O
.	O
</s>
<s>
The	O
ILNumerics	B-Language
DSL	O
is	O
embedded	O
into	O
.NET	B-Application
.	O
</s>
<s>
Computational	O
algorithms	O
are	O
formulated	O
using	O
any	O
CLI	B-Language
language	I-Language
.	O
</s>
<s>
However	O
,	O
only	O
C#	B-Application
and	O
Visual	B-Language
Basic	I-Language
are	O
officially	O
supported	O
.	O
</s>
<s>
Due	O
to	O
the	O
strong	B-Language
type	I-Language
system	I-Language
of	O
the	O
.NET	B-Application
framework	I-Application
algorithms	O
created	O
with	O
ILNumerics	B-Language
are	O
strongly	O
typed	O
.	O
</s>
<s>
This	O
deviates	O
from	O
the	O
syntax	O
of	O
alternatives	B-Language
,	O
which	O
are	O
often	O
weakly	O
typed	O
and	O
therefore	O
easier	O
to	O
adopt	O
.	O
</s>
<s>
A	O
scene	B-Data_Structure
graph	I-Data_Structure
is	O
used	O
in	O
ILNumerics	B-Language
to	O
realize	O
graphical	O
output	O
.	O
</s>
<s>
Interactive	O
2D	O
and	O
3D	O
plots	O
are	O
used	O
in	O
Windows	B-Application
Forms	O
applications	B-Application
.	O
</s>
<s>
Hardware	O
accelerated	O
drawing	O
is	O
available	O
via	O
OpenGL	B-Application
.	O
</s>
<s>
A	O
software	O
renderer	O
is	O
provided	O
for	O
legacy	O
hardware	O
,	O
based	O
on	O
GDI+	O
and	O
SVG	B-Application
.	O
</s>
<s>
ILNumerics	B-Language
is	O
distributed	O
as	O
an	O
extension	O
to	O
Visual	B-Application
Studio	I-Application
.	O
</s>
<s>
Since	O
ILNumerics	B-Language
comes	O
as	O
a	O
CLI	O
assembly	O
,	O
it	O
targets	O
Common	O
Language	O
Infrastructure	O
(	O
CLI	O
)	O
applications	B-Application
.	O
</s>
<s>
Just	O
like	O
Java	B-Language
-	O
those	O
frameworks	O
are	O
often	O
criticized	O
for	O
not	O
being	O
suitable	O
for	O
numerical	B-General_Concept
computations	I-General_Concept
.	O
</s>
<s>
Reasons	O
are	O
the	O
memory	B-Architecture
management	O
by	O
a	O
garbage	B-General_Concept
collector	I-General_Concept
,	O
the	O
intermediate	O
language	O
execution	O
and	O
deficient	O
optimizations	O
by	O
the	O
compilers	B-Application
involved	O
.	O
</s>
<s>
ILNumerics	B-Language
approaches	O
these	O
limitations	O
by	O
performing	O
loop	B-Operating_System
unrolling	I-Operating_System
,	O
removal	B-Error_Name
of	I-Error_Name
bound	I-Error_Name
checks	I-Error_Name
on	O
array	O
accesses	O
and	O
cache	B-Application
optimizations	I-Application
.	O
</s>
<s>
Further	O
speed-up	O
is	O
gained	O
by	O
the	O
auto-management	O
of	O
the	O
memory	B-Architecture
of	O
large	O
array	O
objects	O
.	O
</s>
<s>
Numerical	B-General_Concept
operations	O
are	O
parallelized	B-Operating_System
on	O
multicore	B-Operating_System
systems	O
.	O
</s>
<s>
Linear	B-Language
algebra	I-Language
routines	O
rely	O
on	O
processor	O
specific	O
optimized	O
versions	O
of	O
LAPACK	B-Application
and	O
BLAS	B-Application
.	O
</s>
<s>
ILNumerics	B-Language
arrays	B-Data_Structure
utilize	O
the	O
unmanaged	B-Architecture
heap	I-Architecture
for	O
storing	O
data	O
.	O
</s>
<s>
This	O
way	O
,	O
the	O
size	B-Application
of	O
ILNumerics	B-Language
arrays	B-Data_Structure
is	O
not	O
and	O
interoperability	O
with	O
3rd	O
party	O
libraries	O
is	O
improved	O
.	O
</s>
