Re: Angular format

• To: mathgroup at smc.vnet.net
• Subject: [mg20905] Re: Angular format
• From: phbrf at t-online.de (Peter Breitfeld)
• Date: Sun, 21 Nov 1999 15:12:49 -0500 (EST)
• References: <8103i4\$5u4@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Alan W.Hopper <awhopper at hermes.net.au> schrieb:
> I have an output angle in decimal degrees; a = 174.87625,
>
> now with ,
>
> In[1] := dms[n_]:=Module[{d,m,s,a},
> 		d=IntegerPart[n];
> 		a=60*FractionalPart[n];
> 		m=IntegerPart[a];
> 		s=60*FractionalPart[a];
> 		{d,m,s}]
>
> In[2] := dms[174.87625]
>
> Out[3] = {174, 52, 34.5}
>
> The output is converted to degree, arcminute, arcsecond (list)form
> but I want a fully symbolic result using the single and double quotes
> if possible, for arcminute and arcsecond symbols,
> or alternatively like this ,
>
> 174\[Degree] 52\[CloseCurlyQuote] 34\[CloseCurlyDoubleQuote].5
>
> as the standard double quotes are 'protected' by Mathematica.
>
>
> I have tried using strings,
>
> "174\[Degree]" <> "52\[CloseCurlyQuote]" <>
> "34\[CloseCurlyDoubleQuote].5"
>
> and this works O.K, but I can not seem to get everything together
> into a workable program, so far.
>
Alan,
I have two functions to convert vom decimal to HMS form and back.
There are two Options:
1. inStunden: Output is 12^h15^m11.3^s instead of 12°15'11.3''
2. nurGanz:   No decimals in seconds

----------------8<----------------8<----------------
Options[toHMS]={inStunden->False,nurGanz->False};
SetAttributes[toHMS,Listable];

toHMS[wink_,opt___?OptionQ] :=
Module[{hs, h, m, s, nG, iH},
iH=inStunden/.{opt}/.Options[toHMS];
nG=nurGanz/.{opt}/.Options[toHMS];
h = Floor[Abs[wink]];
m = Chop[(Abs[wink]-h)*60,10^-6];
s = Chop[(m-Floor[m])*60,10^-6];
m = Floor[m];
If[nG===True, s=Round[s]];
If[Abs[s-60.]<10^-4,++m;s=0]; If[m==60,++h;m=0];
s=Chop[s,10^-4];
If[iH===False,
hs=StringJoin[
If[Sign[wink] === -1, "-", ""],
ToString[h]<>"°",
"\!\("<>ToString[m]<>"\^\[Prime]\)",
"\!\("<>ToString[s]<>"\^\[DoublePrime]\)"],
hs=StringJoin[
If[Sign[wink]===-1,"-",""],
"\!\("<>ToString[h]<>"\^h\)",
"\!\("<>ToString[m]<>"\^m\)",
"\!\("<>ToString[s]<>"\^s\)"]];
hs ]

SetAttributes[fromHMS,Listable];

fromHMS[hms_String] :=
Module[{p, hs, h, m, s, vz},
hs = hms;
hs = StringReplace[hs, {"°"->"h","''" -> "s", "'" -> "m"}];
hs = StringReplace[hs, {"\^h"->"h","\^m"->"m","\^s"->"s"}];
hs = StringReplace[hs, {"\^\[Prime]"->"m", "\^\[DoublePrime]"->"s"}];
hs = StringReplace[hs, {"\!" -> "", "\(" -> "", "\^" -> "", "\)" -> ""}];
p = StringPosition[hs, "h"];
If[StringPosition[hs,"-"]=!={},vz=-1,vz=1];
If[p =!= {},
h = Abs[ToExpression[StringTake[hs, p[[1, 1]] - 1]]];
hs = StringDrop[hs, p[[1, 1]]],
h = 0];
p = StringPosition[hs, "m"];
If[p =!= {},
m = Abs[ToExpression[StringTake[hs, p[[1, 1]] - 1]]];
hs = StringDrop[hs, p[[1, 1]]],
m = 0];
p = StringPosition[hs, "s"];
If[p =!= {},
hs = StringDrop[hs, -1];
s = Abs[ToExpression[hs]],
s = 0];
(h + m/60.0 + s/3600.0)*vz
]
----------------8<----------------8<----------------

Peter
--
=--=--=--=--=--=--=--=--=--=--=--=--=  http://home.t-online.de/home/phbrf  =--=
=--= Peter Breitfeld, Saulgau, Germany        PGP public key: 08548045  =--=--=

```

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