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File master_theorem/my_star_chart.rx part of check-in [48a095494d] - more master theorem solutions by crc on 2011-09-05 15:12:40. [annotate]


This is pretty easy. Each code name is based on particular characters from
the facts about each star. For example, the star named "water":

Type: taurus
Age: 1 billion years
Distance: 18 x 10^10 light years
Temperature: 5000 K
Color: white

The name comes from the first character of the color, the age, the first
character of the type, the temperature (divide by 1000), and the distance
(ignore the 10^10 part). The numbers correspond to the letters of the
alphabet, with an index value of one.

So to start, the alphabet, with the zero position filled by an underscore:

  : letters "_abcdefghijklmnopqrstuvwxyz" ;

Easy enough. Next, an array of variables. I'm going to use a trick here,
which needs some explanation. Variables created with *elements* have their
data stored sequentially, with headers being separated. So we can access
them as a unit or structure later.

  6 elements color age type temperature distance padding

There is an used padding variable. This will be useful later.

We'll follow this up with some helper functions to improve readability:

  : getNumber getToken toNumber ;
  : toLetter letters + @ ;

The first function, *getNumber*, parses and returns a number from the
input stream. The second takes an index value and returns the corresponding
letter from the alphabet.

With these, we can now implement functions for each fact.

  : Type: getToken @ !type ;
  : Age: getNumber toLetter !age 2getToken 2drop ;
  : Distance: getNumber toLetter !distance 2 [ 2getToken 2drop ] times ;
  : Temperature: getNumber 1000 / toLetter !temperature getToken drop ;
  : Color: getToken @ !color ;

This is all a bit messy, but for a quick solution, it'll work. Each "fact"
handler parses the input stream, extracts the character code (doing any
adjustments needed), and sets the appropriate variable to the characters.

Once these are defined, we can paste in the facts about our unknown star:

Type: main
Age: 1 billion years
Distance: 14 x 10^10 light years
Temperature: 5000 K
Color: red

And now we have an answer:

  color puts

Note here that we treat our variables as a string. Since the values are
sequential the unused *padding* variable acts as a null terminator and
 we don't need to do anything else to get the correct answer of *ramen*.