You have a location expressed in degrees and minutes and you convert
this to an expression in minutes. So try this:

   0 60 #. _21 _57
_1317

The result of the inverse:

   0 60 #: _1317
_22 3
 
And this is equal to the original:

   _22 3 =&(0 60&#.) _21 _57
1

Or:

   (3+_22*60)=_57+_21*60
1


For obtaining the original tuple you can use e.g.:

   (**0 60&#:@|)_1317
_21 _57


=@@i

Hallo Björn Helgason, je schreef op 30-03-09 17:11:
> I guess because this is base 60 that trying three 60 on the left is worth a
> try
>     60 60 60#:3849
> 1 4 9
>      60 60 60 #:_1317
> 59 38 3
>      60 60 60 #:1317
> 0 21 57
>
> Still it is 21 57 and not _21 _57 as I started out with
>
>
> 2009/3/30 Björn Helgason <[email protected]>
>
>   
>> One of the things I am trying to figure out is this conversion backI have
>>
>>     LAT1=: 1r10800p1 * 60 #. 64   9     NB. Reykjavík
>>    LON1=: 1r10800p1 * 60 #. _21 _57 NB. Reykjavík
>>
>> Ok I take this here
>>     60 #. _21 _57
>>     60 #. 64   9
>> 3849
>>     60 #. _21 _57
>> _1317
>>
>> Now I want thew original back
>>     180 60#:3849
>> 64 9
>>
>> Fine and now the other one
>>      90 60 #: _1317
>> 68 3
>>
>> Not so fine I guess I have to subtract 90 and 60
>>     68 3-90 60
>> _22 _57
>>
>> Close - should be _21 _57
>> Should I have subtracted 89 60?
>>
>>      68 3-89 60
>> _21 _57
>>
>>
>> 2009/3/29 Dan Baronet <[email protected]>
>>
>> Several years ago I wrote a navigation planner in J which included several
>>     
>>> formulas for distance, heading determination, fuel consumption, etc. and I
>>> used for years to travel.
>>> Let me know if it can be of any use.
>>> /D
>>>
>>> --- On Sun, 3/29/09, Björn Helgason <[email protected]> wrote:
>>>
>>> From: Björn Helgason <[email protected]>
>>> Subject: Re: [Jprogramming] Finding GPS coordinates with J
>>> To: "Programming forum" <[email protected]>
>>> Date: Sunday, March 29, 2009, 9:36 AM
>>>
>>> I think I got the formula here so it is a question of translating it to J
>>> and then to get the ring is to do the calculation for i.360 degrees and x
>>> distance
>>>
>>> ---------------------------------
>>> Formula: α = d/R (angular distance)
>>>   lat2 = lat1 + α.cos(θ)
>>>   Δφ = ln(tan(lat2/2+π/4)/tan(lat1/2+π/4))
>>> if E:W line q = cos(lat1)
>>> otherwise q = Δlat/Δφ
>>>   Δlon = α.sin(θ)/q
>>>   lon2 = (lon1+Δlon+π) % 2.π − π
>>>   where ln is natural log and % is modulo, Δlon is taking shortest route
>>> (<180°), and R is the earth’s radius
>>> JavaScript:
>>> lat2 = lat1 + d*Math.cos(brng);
>>> var dPhi =
>>> Math.log(Math.tan(lat2/2+Math.PI/4)/Math.tan(lat1/2+Math.PI/4));
>>> var q = (Math.abs(lat2-lat1) > 1e-10) ? (lat2-lat1)/dPhi : Math.cos(lat1);
>>> var dLon = d*Math.sin(brng)/q;
>>> // check for some daft bugger going past the pole, normalise latitude if
>>> so
>>> if (Math.abs(lat2) > Math.PI/2) lat2 = lat2>0 ? Math.PI-lat2 :
>>> -(Math.PI-lat2);
>>> lon2 = (lon1+dLon+Math.PI)%(2*Math.PI) - Math.PI;
>>>
>>> --------------------
>>> Formula: lat2 = asin(sin(lat1)*cos(d/R) + cos(lat1)*sin(d/R)*cos(θ))
>>>   lon2 = lon1 + atan2(sin(θ)*sin(d/R)*cos(lat1),
>>> cos(d/R)−sin(lat1)*sin(lat2))
>>>   d/R is the angular distance (in radians), where d is the distance
>>> travelled and R is the earth’s radius
>>> JavaScript:
>>> var lat2 = Math.asin( Math.sin(lat1)*Math.cos(d/R) +
>>>                       Math.cos(lat1)*Math.sin(d/R)*Math.cos(brng) );
>>> var lon2 = lon1 + Math.atan2(Math.sin(brng)*Math.sin(d/R)*Math.cos(lat1),
>>>                              Math.cos(d/R)-Math.sin(lat1)*Math.sin(lat2));
>>> Excel: lat2: =ASIN(SIN(lat1)*COS(d/ER) + COS(lat1)*SIN(d/ER)*COS(brng))
>>> lon2: =lon1 + ATAN2(COS(d/ER)-SIN(lat1)*SIN(lat2),
>>> SIN(brng)*SIN(d/ER)*COS(lat1))
>>> ---------------------------
>>> Trig functions take arguments in radians, so latitude, longitude, and
>>> bearings in degrees
>>>  (either decimal or degrees/minutes/seconds) need to be converted to
>>> radians, rad = π.deg/180.
>>>  When converting radians back to degrees (deg = 180.rad/π), West is
>>> negative
>>> if using signed
>>> decimal degrees. For bearings, values in the range -π to +π [-180° to
>>> +180°]
>>> need to be converted
>>>  to 0 to +2π [0°–360°]; this can be done by (brng+2.π)%2.π [brng+360)%360]
>>> where % is the modulo
>>> operator.
>>>
>>> 2009/3/29 Björn Helgason <[email protected]>
>>>
>>>       
>>>> Thx
>>>> I took a quick look at the links and it looks like there are good
>>>>         
>>> formulas
>>>       
>>>> available.
>>>> I hope to get some time soon to translate them into J as I want.
>>>>
>>>> 2009/3/28 Brian Schott <[email protected]>
>>>>
>>>> Bjorn,
>>>>         
>>>>> This search provides some good leads, I believe.
>>>>>
>>>>>
>>>>>
>>>>>           
>>> http://www.google.com/search?hl=en&client=safari&rls=en&q=distance%2Cbearing+sphere&btnG=Search
>>>       
>>>>> --
>>>>> (B=) <-----my sig
>>>>> Brian Schott
>>>>> ----------------------------------------------------------------------
>>>>> For information about J forums see http://www.jsoftware.com/forums.htm
>>>>>
>>>>>           
>>>> --
>>>> Björn Helgason, Verkfræðingur
>>>> Fugl&Fiskur ehf,
>>>> Þerneyjarsundi 23, Hraunborgum
>>>> Po Box 127,801 Selfoss ,
>>>> t-póst: [email protected]
>>>> gsm: +3546985532
>>>> Landslags og skrúðgarðagerð, gröfuþjónusta
>>>> http://groups.google.com/group/J-Programming
>>>>
>>>>
>>>> Tæknikunnátta höndlar hið flókna, sköpunargáfa er meistari
>>>>         
>>> einfaldleikans
>>>       
>>>> góður kennari getur stigið á tær án þess að glansinn fari af skónum
>>>>          /|_      .-----------------------------------.
>>>>         ,'  .\  /  | Með léttri lund verður        |
>>>>     ,--'    _,'   | Dagurinn í dag                     |
>>>>    /       /       | Enn betri en gærdagurinn  |
>>>>   (   -.  |        `-----------------------------------'
>>>>   |     ) |         (\_ _/)
>>>>  (`-.  '--.)       (='.'=)   ♖♘♗♕♔♙
>>>>   `. )----'        (")_(") ☃☠
>>>>
>>>>         
>>> --
>>> Björn Helgason, Verkfræðingur
>>> Fugl&Fiskur ehf,
>>> Þerneyjarsundi 23, Hraunborgum
>>> Po Box 127,801 Selfoss ,
>>> t-póst: [email protected]
>>> gsm: +3546985532
>>> Landslags og skrúðgarðagerð, gröfuþjónusta
>>> http://groups.google.com/group/J-Programming
>>>
>>>
>>> Tæknikunnátta höndlar hið flókna, sköpunargáfa er meistari einfaldleikans
>>>
>>> góður kennari getur stigið á tær án þess að glansinn fari af skónum
>>>          /|_      .-----------------------------------.
>>>         ,'  .\  /  | Með léttri lund verður        |
>>>     ,--'    _,'   | Dagurinn í dag                     |
>>>    /       /       | Enn betri en gærdagurinn  |
>>>   (   -.  |        `-----------------------------------'
>>>   |     ) |         (\_ _/)
>>>  (`-.  '--.)       (='.'=)   ♖♘♗♕♔♙
>>>   `. )----'        (")_(") ☃☠
>>> ----------------------------------------------------------------------
>>> For information about J forums see http://www.jsoftware.com/forums.htm
>>>
>>>
>>>
>>> ----------------------------------------------------------------------
>>> For information about J forums see http://www.jsoftware.com/forums.htm
>>>
>>>       
>> --
>> Björn Helgason, Verkfræðingur
>> Fugl&Fiskur ehf,
>> Þerneyjarsundi 23, Hraunborgum
>> Po Box 127,801 Selfoss ,
>> t-póst: [email protected]
>> gsm: +3546985532
>> Landslags og skrúðgarðagerð, gröfuþjónusta
>> http://groups.google.com/group/J-Programming
>>
>>
>> Tæknikunnátta höndlar hið flókna, sköpunargáfa er meistari einfaldleikans
>>
>> góður kennari getur stigið á tær án þess að glansinn fari af skónum
>>          /|_      .-----------------------------------.
>>         ,'  .\  /  | Með léttri lund verður        |
>>     ,--'    _,'   | Dagurinn í dag                     |
>>    /       /       | Enn betri en gærdagurinn  |
>>   (   -.  |        `-----------------------------------'
>>   |     ) |         (\_ _/)
>>  (`-.  '--.)       (='.'=)   ♖♘♗♕♔♙
>>   `. )----'        (")_(") ☃☠
>>
>>     
>
>
>
>   
----------------------------------------------------------------------
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