<s>
ALTRAN	B-Language
(	O
ALgebraic	O
TRANslator	O
)	O
is	O
a	O
programming	O
language	O
for	O
the	O
formal	O
manipulation	O
of	O
rational	O
functions	O
of	O
several	O
variables	O
with	O
integer	O
coefficients	O
.	O
</s>
<s>
Although	O
ALTRAN	B-Language
is	O
written	O
in	O
ANSI	O
FORTRAN	B-Application
,	O
nevertheless	O
there	O
exist	O
differences	O
in	O
FORTRAN	B-Application
implementations	O
.	O
</s>
<s>
ALTRAN	B-Language
handles	O
machine	O
dependencies	O
through	O
the	O
use	O
of	O
a	O
macro	B-Application
processor	I-Application
called	O
M6	O
.	O
</s>
<s>
ALTRAN	B-Language
should	O
not	O
be	O
confused	O
with	O
the	O
ALGOL	O
to	O
FORTRAN	B-Application
Translator	O
,	O
called	O
Altran	B-Language
,	O
that	O
"	O
converts	O
Extended	O
Algol	O
programs	O
into	O
Fortran	B-Application
IV.	O
"	O
</s>
<s>
ALPAK	B-Language
,	O
written	O
in	O
1964	O
,	O
originally	O
consisted	O
of	O
a	O
set	O
of	O
subroutines	O
for	O
FORTRAN	B-Application
written	O
in	O
assembly	B-Language
language	I-Language
.	O
</s>
<s>
These	O
subroutines	O
were	O
themselves	O
rewritten	O
in	O
FORTRAN	B-Application
for	O
ALTRAN	B-Language
.	O
</s>
<s>
An	O
early	O
version	O
of	O
ALTRAN	B-Language
was	O
developed	O
by	O
M	O
.	O
Douglas	O
McIlroy	O
and	O
W	O
.	O
Stanley	O
Brown	O
in	O
the	O
middle	O
1960s	O
.	O
</s>
<s>
However	O
,	O
soon	O
after	O
the	O
completion	O
of	O
their	O
ALTRAN	B-Language
translator	O
,	O
the	O
IBM	B-Device
7094	I-Device
computers	O
,	O
on	O
which	O
ALPAK	B-Language
and	O
ALTRAN	B-Language
were	O
reliant	O
,	O
began	O
to	O
be	O
phased	O
out	O
in	O
favor	O
of	O
newer	O
machines	O
.	O
</s>
<s>
This	O
led	O
to	O
development	O
of	O
a	O
more	O
advanced	O
ALTRAN	B-Language
language	O
and	O
implementation	O
developed	O
by	O
Brown	O
,	O
Andrew	O
D	O
.	O
Hall	O
,	O
Stephen	O
C	O
.	O
Johnson	O
,	O
Dennis	O
M	O
.	O
Ritchie	O
,	O
and	O
Stuart	O
I	O
.	O
Feldman	O
,	O
which	O
was	O
highly	O
portable	O
.	O
</s>
<s>
Later	O
,	O
Feldman	O
and	O
Julia	O
Ho	O
added	O
a	O
rational	O
expression	O
evaluation	O
package	O
that	O
generated	O
accurate	O
and	O
efficient	O
FORTRAN	B-Application
subroutines	O
for	O
the	O
numerical	O
evaluation	O
of	O
symbolic	O
expressions	O
produced	O
by	O
ALTRAN	B-Language
.	O
</s>
<s>
In	O
1979	O
,	O
ALTRAN	B-Language
was	O
ported	O
to	O
the	O
Control	O
Data	O
Corporation	O
6600	B-Device
and	O
Cyber	B-Device
176	I-Device
computers	O
at	O
the	O
Air	O
Force	O
Weapons	O
Laboratory	O
.	O
</s>
<s>
They	O
found	O
that	O
"	O
ALTRAN	B-Language
is	O
about	O
15	O
times	O
faster	O
than	O
FORMAC	B-Language
in	O
a	O
PL/I	B-Language
environment	O
,	O
and	O
it	O
is	O
at	O
least	O
12	O
times	O
faster	O
than	O
REDUCE.	O
"	O
</s>
<s>
It	O
was	O
also	O
observed	O
that	O
ALTRAN	B-Language
was	O
able	O
to	O
quickly	O
solve	O
problems	O
which	O
neither	O
FORMAC	B-Language
nor	O
REDUCE	B-Language
could	O
handle	O
on	O
the	O
given	O
hardware	O
or	O
in	O
reasonable	O
time	O
.	O
</s>
