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Russian Peasant Multiplication / was question on how
Posted:
Jul 2, 2013 12:29 AM


On Sun, Jun 30, 2013 at 3:29 AM, <d.a.paxton@gmail.com> wrote:
Hi Dave, in Wikipedia you will find an explicit example for the Russian Peasant Multiplication. This algorithm can be simply programed in Mathematica :
RussianPeasantMultplication[x0_Integer,y0_Integer]:= Module[{x,y,yS,nD }, x=x0;y=y0; yS=y; nD=Max @ (Length /@ IntegerDigits @ {x0,y0}); pf=PaddedForm[#,2nD+2]&; If[x<0,(sgn=Sign[x];x=Abs[x];),(sgn=+1;x=x;)]; While[x>=1,(Print["x=",pf @ x,"; ","y=",pf @ y,"; ","yS=",pf @ yS ]; x=Floor[x/2];y=2y; If[OddQ[x], yS=yS+y];) ]; Return[sgn*yS] ]
See for example
x0=27;y0=82; RussianPeasantMultplication[x0,y0]
gives as output
x= 27; y= 82; yS= 82 x= 13; y= 164; yS= 246 x= 6; y= 328; yS= 246 x= 3; y= 656; yS= 902 x= 1; y= 1312; yS= 2214
Out[32]= 2214
Regards Robert
Robert Kragler Email : kragler@hsweingarten.de URL : http://portal.hsweingarten.de/web/kragler



