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Ingy döt Net 2013-04-10 12:38:42 -07:00
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/*REXX pgm converts decimal ◄───► balanced ternary; also performs arith.*/
numeric digits 10000 /*handle almost any size numbers.*/
Ao = '+-0++0+' ; Abt = Ao /* [↓] 2 literals used by sub.*/
Bo = '-436' ; Bbt = d2bt(Bo) ; @ = '(decimal)'
Co = '+-++-' ; Cbt = Co ; @@ = 'balanced ternary ='
call btShow '[a]', Abt
call btShow '[b]', Bbt
call btShow '[c]', Cbt
say; $bt = btMul(Abt,btSub(Bbt,Cbt))
call btshow '[a*(b-c)]', $bt
exit /*stick a fork in it, we're done.*/
/*──────────────────────────────────BT2D subroutine─────────────────────*/
d2bt: procedure; parse arg x 1; p=0; $.='-'; $.1='+'; $.0=0; #=
x=x/1
do until x==0; _=(x//(3**(p+1)))%3**p
if _==2 then _=-1; if _=-2 then _=1
x=x-_*(3**p); p=p+1; #=$._ || #
end /*until*/
return #
/*──────────────────────────────────BT2D subroutine─────────────────────*/
bt2d: procedure; parse arg x; r=reverse(x); #=0; $.=-1; $.0=0; _='+'; $._=1
do j=1 for length(x); _=substr(r,j,1); #=#+$._*3**(j-1); end
return #
/*──────────────────────────────────BTADD subroutine────────────────────*/
btAdd: procedure; parse arg x,y; rx=reverse(x); ry=reverse(y); carry=0
$.='-'; $.0=0; $.1='+'; @.=0; _='-'; @._=-1; _="+"; @._=1; #=
do j=1 for max(length(x),length(y))
x_=substr(rx,j,1); xn=@.x_
y_=substr(ry,j,1); yn=@.y_
s=xn+yn+carry ; carry=0
if s== 2 then do; s=-1; carry= 1; end
if s== 3 then do; s= 0; carry= 1; end
if s==-2 then do; s= 1; carry=-1; end
#=$.s || #
end /*j*/
if carry\==0 then #=$.carry || #; return btNorm(#)
/*──────────────────────────────────BTMUL subroutine────────────────────*/
btMul: procedure; parse arg x,y; if x==0 | y==0 then return 0; S=1
x=btNorm(x); y=btNorm(y) /*handle: 0-xxx values.*/
if left(x,1)=='-' then do; x=btNeg(x); S=-S; end /*positate.*/
if left(y,1)=='-' then do; y=btNeg(y); S=-S; end /*positate.*/
if length(y)>length(x) then parse value x y with y x /*optimize.*/
P=0
do until y==0 /*keep adding 'til done*/
P=btAdd(P,x) /*multiple the hard way*/
y=btSub(y,'+') /*subtract 1 from Y. */
end /*until*/
if S==-1 then P=btNeg(P) /*adjust product sign. */
return P /*return the product P.*/
/*───────────────────────────────one-line subroutines───────────────────*/
btNeg: return translate(arg(1), '-+', "+-") /*negate the bal_tern #*/
btNorm: _=strip(arg(1),'L',0); if _=='' then _=0; return _ /*normalize*/
btSub: return btAdd(arg(1), btNeg(arg(2))) /*subtract two BT args.*/
btShow: say center(arg(1),9) right(arg(2),20) @@ right(bt2d(arg(2)),9) @; return