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Ingy döt Net 2023-07-01 11:58:00 -04:00
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17
Task/Roman-numerals-Encode/REXX/roman-numerals-encode-1.rexx Normal file
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roman: procedure
arg number
/* handle only 1 to 3999, else return ? */
if number >= 4000 | number <= 0 then return "?"
romans = " M CM D CD C XC L XL X IX V IV I"
arabic = "1000 900 500 400 100 90 50 40 10 9 5 4 1"
result = ""
do i = 1 to words(romans)
do while number >= word(arabic,i)
result = result || word(romans,i)
number = number - word(arabic,i)
end
end
return result

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Task/Roman-numerals-Encode/REXX/roman-numerals-encode-2.rexx Normal file
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/*REXX program converts (Arabic) non─negative decimal integers (≥0) ───► Roman numerals.*/
numeric digits 10000 /*decimal digs can be higher if wanted.*/
parse arg # /*obtain optional integers from the CL.*/
@er= "argument isn't a non-negative integer: " /*literal used when issuing error msg. */
if #='' then /*Nothing specified? Then generate #s.*/
do
do j= 0 by 11 to 111; #=# j; end
#=# 49; do k=88 by 100 to 1200; #=# k; end
#=# 1000 2000 3000 4000 5000 6000; do m=88 by 200 to 1200; #=# m; end
#=# 1304 1405 1506 1607 1708 1809 1910 2011; do p= 4 to 50; #=# 10**p; end
end /*finished with generation of numbers. */
do i=1 for words(#); x=word(#, i) /*convert each of the numbers───►Roman.*/
if \datatype(x, 'W') | x<0 then say "***error***" @er x /*¬ whole #? negative?*/
say right(x, 55) dec2rom(x)
end /*i*/
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
dec2rom: procedure; parse arg n,# /*obtain the number, assign # to a null*/
n=space(translate(n/1, , ','), 0) /*remove commas from normalized integer*/
nulla= 'ZEPHIRUM NULLAE NULLA NIHIL' /*Roman words for "nothing" or "none". */
if n==0 then return word(nulla, 1) /*return a Roman word for "zero". */
maxnp=(length(n)-1)%3 /*find max(+1) # of parenthesis to use.*/
highPos=(maxnp+1)*3 /*highest position of number. */
nn=reverse( right(n, highPos, 0) ) /*digits for Arabic──►Roman conversion.*/
do j=highPos to 1 by -3
_=substr(nn, j, 1); select /*════════════════════hundreds.*/
when _==9 then hx='CM'
when _>=5 then hx='D'copies("C", _-5)
when _==4 then hx='CD'
otherwise hx= copies('C', _)
end /*select hundreds*/
_=substr(nn, j-1, 1); select /*════════════════════════tens.*/
when _==9 then tx='XC'
when _>=5 then tx='L'copies("X", _-5)
when _==4 then tx='XL'
otherwise tx= copies('X', _)
end /*select tens*/
_=substr(nn, j-2, 1); select /*═══════════════════════units.*/
when _==9 then ux='IX'
when _>=5 then ux='V'copies("I", _-5)
when _==4 then ux='IV'
otherwise ux= copies('I', _)
end /*select units*/
$=hx || tx || ux
if $\=='' then #=# || copies("(", (j-1)%3)$ ||copies(')', (j-1)%3)
end /*j*/
if pos('(I',#)\==0 then do i=1 for 4 /*special case: M,MM,MMM,MMMM.*/
if i==4 then _ = '(IV)'
else _ = '('copies("I", i)')'
if pos(_, #)\==0 then #=changestr(_, #, copies('M', i))
end /*i*/
return #