Ada 95 ARCTAN function

Ada 95 ARCTAN function

[saag]

Does the ARCTAN(y,x) function in the ADA.NUMERICS package provide the
same results an atan2 function call in c?  I'm trying to find out if
Ada supplies an atan2 function (that gives an appropriate answer based
on the quadrant the original point lies in)

thanks

Re: Ada 95 ARCTAN function

[Jacob Sparre Andersen]

"saag" <saag37@yahoo.com> writes:

> Does the ARCTAN(y,x) function in the ADA.NUMERICS package provide the
> same results an atan2 function call in c?  I'm trying to find out if
> Ada supplies an atan2 function (that gives an appropriate answer based
> on the quadrant the original point lies in)

You can find the specification of how function Arctan works on
<http://www.cs.fsu.edu/~baker/ada/arm_95/RM-A-5-1.html>.

I don't know where I can find the corresponding specification for the
C function atan2(), so I can't give you a proper comparison.

Greetings,

Jacob
-- 
I'm giving a short talk at Game Developers Conference (Mobile
Game Innovation Hunt) Monday afternoon:
          http://www.gdconf.com/conference/gdcmobile_hunt.htm

Re: Ada 95 ARCTAN function

[Dmitry A. Kazakov]

On 1 Mar 2007 10:58:25 -0800, saag wrote:

> Does the ARCTAN(y,x) function in the ADA.NUMERICS package provide the
> same results an atan2 function call in c?  I'm trying to find out if
> Ada supplies an atan2 function (that gives an appropriate answer based
> on the quadrant the original point lies in)

A.5.1 (11) states that arctan (y, x) yields the result in the quadrant of
the point (x,y). I.e. (with circle=2pi)

       |    y>0    |    y<0
-------+-----------+----------
x>0    |  0..pi/2  | -pi/2..0
       |           |
x<0    |  pi/2..pi | -pi..-pi/2

When x is negative and y is approaches 0 changing its sign, it gets
instable (either pi or -pi). Argument_Error is propagated when x and y are
0.

(I cannot tell how this corresponds to the semantics of atan2)

-- 
Regards,
Dmitry A. Kazakov
http://www.dmitry-kazakov.de

Re: Ada 95 ARCTAN function

[Adam Beneschan]

On Mar 1, 11:38 am, Jacob Sparre Andersen <spa...@nbi.dk> wrote:

> I don't know where I can find the corresponding specification for the
> C function atan2(), so I can't give you a proper comparison.

The Unix "man" page for atan2 has some information.  It's not as
detailed as the Ada manual, because after all this is C and providing
specific details would infringe on the inalienable right of C
programmers to shoot themselves in the foot.  However, the man page
I'm looking at does say:

(1) that the result is between -pi and pi (inclusive), and

(2) the signs of both arguments are used to determine the quadrant of
the result.

So I'd guess that the semantics are probably the same.

                            -- Adam

Re: Ada 95 ARCTAN function

[saag]

thanks for the quick responses.
Didn't exactly phrase my question properly as I'm really interested in
whether the Ada arctan function returns a value based on the quadrant
-
and according to both that diagram & the link in the other post the
results in the range (-pi, pi) are what I was hoping for.

thanks again


On Mar 1, 2:43 pm, "Dmitry A. Kazakov" <mail...@dmitry-kazakov.de>
wrote:
> On 1 Mar 2007 10:58:25 -0800, saag wrote:
>
> > Does the ARCTAN(y,x) function in the ADA.NUMERICS package provide the
> > same results an atan2 function call in c?  I'm trying to find out if
> > Ada supplies an atan2 function (that gives an appropriate answer based
> > on the quadrant the original point lies in)
>
> A.5.1 (11) states that arctan (y, x) yields the result in the quadrant of
> the point (x,y). I.e. (with circle=2pi)
>
>        |    y>0    |    y<0
> -------+-----------+----------
> x>0    |  0..pi/2  | -pi/2..0
>        |           |
> x<0    |  pi/2..pi | -pi..-pi/2
>
> When x is negative and y is approaches 0 changing its sign, it gets
> instable (either pi or -pi). Argument_Error is propagated when x and y are
> 0.
>
> (I cannot tell how this corresponds to the semantics of atan2)
>
> --
> Regards,
> Dmitry A. Kazakovhttp://www.dmitry-kazakov.de

Re: Ada 95 ARCTAN function

[Keith Thompson]

"Adam Beneschan" <adam@irvine.com> writes:
> On Mar 1, 11:38 am, Jacob Sparre Andersen <spa...@nbi.dk> wrote:
>> I don't know where I can find the corresponding specification for the
>> C function atan2(), so I can't give you a proper comparison.
>
> The Unix "man" page for atan2 has some information.  It's not as
> detailed as the Ada manual, because after all this is C and providing
> specific details would infringe on the inalienable right of C
> programmers to shoot themselves in the foot.  However, the man page
> I'm looking at does say:
>
> (1) that the result is between -pi and pi (inclusive), and
>
> (2) the signs of both arguments are used to determine the quadrant of
> the result.
>
> So I'd guess that the semantics are probably the same.

The C99 standard says:

    The atan2 functions compute the value of the arc tangent of y/x,
    using the signs of both arguments to determine the quadrant of the
    return value. A domain error may occur if both arguments are zero.

    The atan2 functions return arctan y/x in the interval [-pi, +pi]
    radians.

-- 
Keith Thompson (The_Other_Keith) kst-u@mib.org  <http://www.ghoti.net/~kst>
San Diego Supercomputer Center             <*>  <http://users.sdsc.edu/~kst>
"We must do something.  This is something.  Therefore, we must do this."
    -- Antony Jay and Jonathan Lynn, "Yes Minister"