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Rosetta PGA-TRAMby eyepopslikeamosquito (Canon)
|on Jun 13, 2009 at 11:48 UTC||Need Help??|
After my recent "discovery" of the PGA-TRAM algorithm, I couldn't resist coding it up in a variety of languages. I'm doing this as a rosetta code node because I find it fun; hopefully, it'll provide some interesting insights into a variety of programming languages. Please note that this meditation is not about golf, but about implementing an arbitrary, specific algorithm in the most "natural" way in a variety of languages.
Here's the spec:
Write a function, roman_to_dec, to convert a "modern" Roman Numeral to its decimal equivalent. The function takes a single string argument and returns an integer. The string argument may be assumed to always contain a valid Roman Numeral in the range 1-3999. Error handling is not required. For example, roman_to_dec("XLII") should return 42.
Let's get started with a Perl version:
Running this program produces:
To me, this is the most natural way to express the PGA-TRAM algorithm in Perl. It uses a variety of common Perl idioms:
For those folks unfamiliar or uncomfortable with "reduce", note that it can be eliminated like this:
Though I don't mind that at all, I do prefer the reduce version.
As you might expect, my "most natural" Python solution looks very similar to the Perl one above:
That this solution is essentially identical to the Perl one shows how similar these two languages are. Indeed, I'm fond of claiming that Perl, Python and Ruby are "essentially equivalent". :) Since Python lacks Perl's simple lexical scoping mechanism, I chose to "data hide" the rtoa hash by making it a default function argument. Note that Python default function arguments are initialized once only. Though I could have employed the Python map function (with a lambda), I chose instead to use a lazily evaluated Python generator list comprehension, (__rtoa[c] for c in r.upper()), because that seemed more "naturally Pythonic" to me.
Here's my Haskell solution, using GHC:
Instead of using a rtoa hash, natural in Perl and Python, a rtoa function using simple pattern matching seemed the most Haskelly way of expressing this algorithm.
Finally, my ANSI C++ solution:
The Perl reduce function is called "accumulate" in ANSI C++. Implementing the lookup with the admittedly long-winded romtab table felt like natural C++ to me because it seeks high performance. Indeed, if you peek inside <ctype.h> you will likely see toupper() implemented in a similar vein. This makes the rtoa(toupper(c)) above ridiculously fast, costing only two (constant) array lookups, not requiring even a single C function call! Also of note in this solution is that I didn't bother with map, instead simply applying the ultra fast rtoa(toupper(c)) combo twice in the accumulator function.
I'd love to see some sample implementations in other languages, especially Perl 6. So please feel free to respond away. :)
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