Fractran: Difference between revisions
Content added Content deleted
m (→{{header|REXX}}: added whitespace and changed some comments, used templates for the output sections.) |
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numeric digits 2000 /*be able to handle larger numbers. */ |
numeric digits 2000 /*be able to handle larger numbers. */ |
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parse arg N terms fracs /*obtain optional arguments from the CL*/ |
parse arg N terms fracs /*obtain optional arguments from the CL*/ |
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if N=='' | N=="," then |
if N=='' | N=="," then N= 2 /*Not specified? Then use the default.*/ |
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if terms=='' | terms=="," then terms= |
if terms=='' | terms=="," then terms= 100 /* " " " " " " */ |
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if fracs='' then fracs= '17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23,', |
if fracs='' then fracs= '17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23,', |
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'77/19, 1/17, 11/13, 13/11, 15/14, 15/2, 55/1' |
'77/19, 1/17, 11/13, 13/11, 15/14, 15/2, 55/1' |
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/* [↑] The default for the fractions. */ |
/* [↑] The default for the fractions. */ |
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f=space(fracs,0) |
f= space(fracs, 0) /*remove all blanks from the FRACS list*/ |
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do #=1 while f\==''; parse var f n.# '/' d.# "," f |
do #=1 while f\==''; parse var f n.# '/' d.# "," f |
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end /*#*/ |
end /*#*/ /* [↑] parse all the fractions in list*/ |
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#=#- |
#= # - 1 /*the number of fractions just found. */ |
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say # 'fractions:' fracs /*display number and actual fractions. */ |
say # 'fractions:' fracs /*display number and actual fractions. */ |
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say 'N is starting at ' N /*display the starting number N. */ |
say 'N is starting at ' N /*display the starting number N. */ |
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if N//d.k\==0 then iterate /*Not an integer? Then ignore it. */ |
if N//d.k\==0 then iterate /*Not an integer? Then ignore it. */ |
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say right('term' j, 35) "──► " N /*display the Nth term with the N. */ |
say right('term' j, 35) "──► " N /*display the Nth term with the N. */ |
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N=N % d.k * n.k |
N= N % d.k * n.k /*calculate next term (use %≡integer ÷)*/ |
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iterate j /*go start calculating the next term. */ |
iterate j /*go start calculating the next term. */ |
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end /*k*/ /* [↑] if an integer, we found a new N*/ |
end /*k*/ /* [↑] if an integer, we found a new N*/ |
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end /*j*/ /*stick a fork in it, we're all done. */</lang> |
end /*j*/ /*stick a fork in it, we're all done. */</lang> |
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{{out|output|text= when using the default input:}} |
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<pre style="height:63ex"> |
<pre style="height:63ex"> |
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14 fractions: 17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23, 77/19, 1/17, 11/13, 13/11, 15/14, 15/2, 55/1 |
14 fractions: 17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23, 77/19, 1/17, 11/13, 13/11, 15/14, 15/2, 55/1 |
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Programming note: if the number of terms specified (the 2<sup>nd</sup> argument) is negative, then only powers of two are displayed. |
Programming note: if the number of terms specified (the 2<sup>nd</sup> argument) is negative, then only powers of two are displayed. |
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<lang rexx>/*REXX program runs FRACTRAN for a given set of fractions and from a specified N. */ |
<lang rexx>/*REXX program runs FRACTRAN for a given set of fractions and from a specified N. */ |
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numeric digits 999; |
numeric digits 999; w= length( digits() ) /*be able to handle gihugeic numbers. */ |
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parse arg N terms fracs /*obtain optional arguments from the CL*/ |
parse arg N terms fracs /*obtain optional arguments from the CL*/ |
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if N=='' | N=="," then |
if N=='' | N=="," then N= 2 /*Not specified? Then use the default.*/ |
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if terms=='' | terms=="," then terms= |
if terms=='' | terms=="," then terms= 100 /* " " " " " " */ |
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if fracs='' then fracs= '17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23,', |
if fracs='' then fracs= '17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23,', |
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'77/19, 1/17, 11/13, 13/11, 15/14, 15/2, 55/1' |
'77/19, 1/17, 11/13, 13/11, 15/14, 15/2, 55/1' |
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/* [↑] The default for the fractions. */ |
/* [↑] The default for the fractions. */ |
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f=space(fracs, 0) /*remove all blanks from the FRACS list*/ |
f=space(fracs, 0) /*remove all blanks from the FRACS list*/ |
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do #=1 while f\==''; parse var f n.# '/' d.# "," f |
do #=1 while f\==''; parse var f n.# '/' d.# "," f |
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end /*#*/ |
end /*#*/ /* [↑] parse all the fractions in list*/ |
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#=#- |
#= # - 1 /*adjust the number of fractions found.*/ |
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tell= terms>0 /*flag: show number or a power of 2.*/ |
tell= terms>0 /*flag: show number or a power of 2.*/ |
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!.=0; |
!.= 0; _= 1 /*the default value for powers of 2. */ |
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if \tell then do p=1 until length(_)>digits(); _=_+_; !._=1 |
if \tell then do p=1 until length(_)>digits(); _= _ + _; !._= 1 |
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if p==1 then @._=left('',w+9) |
if p==1 then @._= left('', w + 9) "2**"left(p, w) ' ' |
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else @._='(prime' right(p,w)") 2**"left(p,w) ' ' |
else @._= '(prime' right(p, w)") 2**"left(p, w) ' ' |
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end /*p*/ /* [↑] build powers of 2 tables. */ |
end /*p*/ /* [↑] build powers of 2 tables. */ |
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L=length(N) |
L= length(N) /*length in decimal digits of integer N*/ |
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say # 'fractions:' fracs /*display number and actual fractions. */ |
say # 'fractions:' fracs /*display number and actual fractions. */ |
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say 'N is starting at ' N /*display the starting number N. */ |
say 'N is starting at ' N /*display the starting number N. */ |
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if tell then say terms ' terms are being shown:' |
if tell then say terms ' terms are being shown:' /*display header.*/ |
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else say 'only powers of two are being shown:' |
else say 'only powers of two are being shown:' /* " " */ |
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q='(max digits used:' /*a literal used in the SAY below. */ |
q='(max digits used:' /*a literal used in the SAY below. */ |
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do j=1 for abs(terms) /*perform DO loop once for each term. */ |
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do k=1 for # /* " " " " " " fraction*/ |
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if N//d.k\==0 then iterate /*Not an integer? Then ignore it. */ |
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if tell then say right('term' j, 35) "──► " N /*display Nth term and N.*/ |
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else if !.N then say right('term' j,15) "──►" @.N q right(L,w)") " N |
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N= N % d.k * n.k /*calculate next term (use %≡integer ÷)*/ |
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L= max(L, length(N) ) /*the maximum number of decimal digits.*/ |
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iterate j /*go start calculating the next term. */ |
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end /*k*/ /* [↑] if an integer, we found a new N*/ |
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end /*j*/ /*stick a fork in it, we're done. */</lang> |
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{{out|output|text= when using the input of: <tt> , -50000000 </tt>}} |
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<br>(negative fifty million) |
<br>(negative fifty million) |
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<pre> |
<pre> |
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