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