// Solver for "The Right Stuff" Geocache (GCQM2B)
// http://www.geocaching.com/seek/cache_details.aspx?guid=6e255836-5540-481a-ae54-4ccc59d92719

Bean = 12
Cernan = 10 // (10 or 17)
Chaffee = 1
Collins = 11
Lovell = 8 //(8 or 13)
Roosa = 14
Schirra = 7
Schweickart = 9
Swigert = 13
Worden = 15


// W00t, you can copy and paste all of the equations directly into Frink!
// just make sure that N is all on one line, and replace square brackets
// with parens.
A = Cernan * Chaffee
F = ( Cernan / ( Swigert + Schirra))
G = Collins * Cernan * (Swigert + Schirra) * ( Worden - Cernan )
H = Roosa + Lovell + Bean + Swigert + Cernan
I = (Bean + Lovell + Cernan ) * Cernan + Collins
R = (Schweickart + Chaffee)^(Schweickart - Schirra) * Cernan
L = (Schweickart - Schirra) * (Schweickart + Chaffee)^(Schweickart - Schirra) * Cernan
U = (Worden * (Schweickart - Schirra) * Cernan + (Schweickart - Schirra) * Bean)
N = (Schirra * (Schweickart + Chaffee)^(Schweickart - Schirra) + Schweickart ^(Schweickart - Schirra) + Bean) * (Schweickart - Schirra)

println["A=$A"]
println["F=$F"]
println["G=$G"]
println["H=$H"]
println["I=$I"]
println["R=$R"]
println["L=$L"]
println["U=$U"]
println["N=$N"]

Longitude = (G+H+(I/R))^F
Latitude  = (N+(L+U)/(R*A))^F

println[]
println["Latitude checksum:  " + checksum[Latitude] + " (should be 37)"]
println["Longitude checksum: " + checksum[Longitude] + " (should be 27)"]

checksum[val] :=
{
   str = format[val, 1, 5]      // Format to 5 decimal places
   println[str]
   str =~ %s/\.//g              // Remove decimal points
   sum = 0
   for char = char[str]
      sum = sum + (char - char["0"])

   return sum
}