Calculating roman numerals

S

Shiloh Madsen

Ok, I'm having trouble with another exercise in this book. It has
asked me to write a program that will calculate the old school roman
numeral value for a given modern number (up to the thousands). To
clarify, old school roman numerals didn't do the subtraction thing, so
4 is IIII, nine is VIIII, etc. I've played around with a few options
using division, loops and modulus, but can't seem to get my brain
around the problem...any suggestions?

Shiloh
 
C

Carlos

Ok, I'm having trouble with another exercise in this book. It has
asked me to write a program that will calculate the old school roman
numeral value for a given modern number (up to the thousands). To
clarify, old school roman numerals didn't do the subtraction thing, so
4 is IIII, nine is VIIII, etc. I've played around with a few options
using division, loops and modulus, but can't seem to get my brain
around the problem...any suggestions?

A hint: Try loops and subtractions.

Good luck.
--
 
S

Shiloh Madsen

Thank you. That gave me an entirely new way to look at this. I am
working on one solution now, but I will try that next. If they both
work I'll post both as I am curious which will be more efficient.
 
W

William James

Shiloh said:
Ok, I'm having trouble with another exercise in this book. It has
asked me to write a program that will calculate the old school roman
numeral value for a given modern number (up to the thousands). To
clarify, old school roman numerals didn't do the subtraction thing, so
4 is IIII, nine is VIIII, etc. I've played around with a few options
using division, loops and modulus, but can't seem to get my brain
around the problem...any suggestions?

Shiloh

class Integer
def to_roman
"I =1 V =5 X = 10 L = 50
C = 100 D = 500 M = 1000".
scan( / ([A-Z]) \s *= \s* (\d+) /x ).
map{|letter,val| [ letter, val.to_i ] }.
sort_by{|a| -a.last}.
inject( [ "", self ] ){|roman, pair|
[ roman.first + pair.first * (roman.last / pair.last),
roman.last % pair.last ] }.
first
end
end
 
G

Gregory Seidman

On Wed, Jan 03, 2007 at 06:35:02AM +0900, Shiloh Madsen wrote:
} Ok, I'm having trouble with another exercise in this book. It has
} asked me to write a program that will calculate the old school roman
} numeral value for a given modern number (up to the thousands). To
} clarify, old school roman numerals didn't do the subtraction thing, so
} 4 is IIII, nine is VIIII, etc. I've played around with a few options
} using division, loops and modulus, but can't seem to get my brain
} around the problem...any suggestions?

We recently had a golfing competition at work on going the other direction
(i.e. roman numeral to arabic). Our best solution:

def x s
p=t=0
s.scan(/./){|r|
i=' IVXLCDM'.index r
c=10**(i/2)/(2-i%2)
t+= p<c ?-p:p
p=c
}
t+p
end

} Shiloh
--Greg
 
W

William James

Gregory said:
On Wed, Jan 03, 2007 at 06:35:02AM +0900, Shiloh Madsen wrote:
} Ok, I'm having trouble with another exercise in this book. It has
} asked me to write a program that will calculate the old school roman
} numeral value for a given modern number (up to the thousands). To
} clarify, old school roman numerals didn't do the subtraction thing, so
} 4 is IIII, nine is VIIII, etc. I've played around with a few options
} using division, loops and modulus, but can't seem to get my brain
} around the problem...any suggestions?

We recently had a golfing competition at work on going the other direction
(i.e. roman numeral to arabic). Our best solution:

def x s
p=t=0
s.scan(/./){|r|
i=' IVXLCDM'.index r
c=10**(i/2)/(2-i%2)
t+= p<c ?-p:p
p=c
}
t+p
end

} Shiloh
--Greg

Another way:

require 'enumerator'
def y s
t=0
(s.split("").map{|c|
n=' IVXLCDM'.index c;10**(n/2)/(2-n%2)}<<0).
each_cons(2){|a,b| t+= a<b ?-a:a}
t
end
 
J

Jan Svitok

Ok, I'm having trouble with another exercise in this book. It has
asked me to write a program that will calculate the old school roman
numeral value for a given modern number (up to the thousands). To
clarify, old school roman numerals didn't do the subtraction thing, so
4 is IIII, nine is VIIII, etc. I've played around with a few options
using division, loops and modulus, but can't seem to get my brain
around the problem...any suggestions?

Shiloh

Look for older thread "Need help with a program".
 
T

Tim Pease

Ok, I'm having trouble with another exercise in this book. It has
asked me to write a program that will calculate the old school roman
numeral value for a given modern number (up to the thousands). To
clarify, old school roman numerals didn't do the subtraction thing, so
4 is IIII, nine is VIIII, etc. I've played around with a few options
using division, loops and modulus, but can't seem to get my brain
around the problem...any suggestions?

Lest we all forget about the code snippets on RubyForge ...

http://rubyforge.org/snippet/detail.php?type=snippet&id=135

Should do all you need (and more)

Blessings,
TwP
 
G

Gregory Brown

Lest we all forget about the code snippets on RubyForge ...

The code snippets thing is super cool, if only it was better
organized. Not sure if we can do much with it, since it's mostly up
to GForge...

I just wish it was easier to navigate, search, etc.
 
G

Gerald Ebberink

Ok, I'm having trouble with another exercise in this book. It has
asked me to write a program that will calculate the old school roman
numeral value for a given modern number (up to the thousands). To
clarify, old school roman numerals didn't do the subtraction thing, so
4 is IIII, nine is VIIII, etc. I've played around with a few options
using division, loops and modulus, but can't seem to get my brain
around the problem...any suggestions?

Shiloh

Many people have answered, but since I'm a beginner I would like to have
some comments on the following. Which I think is pretty ruby-esque

ans=0
roman="XVIII"
{"X"=>10,"V"=>5,"I"=>1}.each_pair do |letter, number|ans+=roman.count(letter)*number end;ans


Kind regards,
Gerald
 
W

William James

Gerald said:
Many people have answered, but since I'm a beginner I would like to have
some comments on the following. Which I think is pretty ruby-esque

ans=0
roman="XVIII"
{"X"=>10,"V"=>5,"I"=>1}.each_pair do |letter, number|ans+=roman.count(letter)*number end;ans


Kind regards,
Gerald

The original poster asked for a way to translate from modern numerals
to roman numerals. You're doing the opposite.

Your method will convert old-school roman numerals, but it
won't work for "XIV".
 

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