1. Re: Whats the problem in this function?<decoded from the
- Posted by Ad Rienks <Ad_Rienks at COMPUSERVE.COM> Aug 05, 1998
- 451 views
Subject: Re: Whats the problem in this function?<decoded from the mime(mostly???)> To: EUPHORIA at cwisserver1.mcs.muohio.edu Steve Lee wrote: > > -- I made the function that returns the rounded-up,down,off(is it right= expression? my english > -- is somhow poor :) value on the given digit. > -- but when used in the main program, i got a problem on calculating Round-Down process. > -- an example blelow. > > global constant ROUND_UP =3D 1, --=BF=C3=B8=B2 > ROUND_DOWN =3D 0, --=B3=BB=B8=B2 > ROUND_OFF =3D 0.5 --=B9=DD=BF=C3=B8=B2 > > global function round_number(atom flag, object number, integer digit) > -- flag : =BF=C3=B8=B2,=B3=BB=B8=B2,=B9=DD=BF=C3=B8=B2=C0=BB =B0=E1=C1=A4= > -- number : =B0=E8=BB=EA=C7=D2 =BC=FD=C0=DA > -- digit : =B9=DD=BF=C3=B8=B2(=BF=C3=B8=B2,=B3=BB=B8=B2)=C7=D2 =C0=DA=B8= =AE=BC=F6(=BC=D2=BC=F6=C1=A1 =C0=CC=C7=CF=B4=C2 - =B7=CE =C7=A5=BD=C3; -2= -> =BC=D2=BC=F6=C1=A1=C0=CC=C7=CF 2 > -- =C2=B0=C0=DA=B8=AE) ; 0=C0=BA =B5=C9 =BC=F6 =BE=F8=C0=BD, =C0=D4= =B7=C2=C7=CF=B8=E9 "There's no digit 0!"=B8=A6 =B9=DD=C8=AF > > object answer > > if digit =3D 0 then answer =3D "There's no digit 0!" > elsif digit < 0 then > answer =3D floor(number/power(10,digit+1)+flag)*power(10,digit+1) > elsif digit > 0 then > answer =3D floor(number/power(10,digit)+flag)*power(10,digit) > end if > return answer > end function > > atom number > object value > > number =3D 1648.174 > > for i =3D 2 to -6 by -1 do > value =3D round_number(ROUND_DOWN,number,i) > if i =3D 0 then > puts(1,value&'\n') > else > printf(1,"%4.5f rounded down by digit %d into %4.5f \n",{number,i,value}) > end if > end for > > -- now result below > > --1648.17400 rounded down by digit 2 into 1600.00000 > --1648.17400 rounded down by digit 1 into 1640.00000 > --There's no digit 0! > --1648.17400 rounded down by digit -1 into 1648.00000 > --1648.17400 rounded down by digit -2 into 1648.10000 > --1648.17400 rounded down by digit -3 into 1648.17000 > --1648.17400 rounded down by digit -4 into 1648.17300 -> problem starts= to occur!! expecting > -- 1648.17400!! > --1648.17400 rounded down by digit -5 into 1648.17390 > --1648.17400 rounded down by digit -6 into 1648.17399 > > -- I know many other excellent routines for this job but i still want t= o know WHAT IS THE > -- PROBLEM IN MY ALGORITHM!! > > -- Steve. > Steve, I haven=B4t studied your code thoroughly, but I think there is nothing wr= ong with it, the problem that arises has to do with the way Euphoria stores numbers internally. I=B4m struggling with this rounding problem myself for quite some time no= w. I=B4m not the one to explain this in detail to you, if I could maybe that= would have solved half the problem already. In short, if BCD - Binary Coded Digits - are used to represent numbers, than calculation to a greater precision can be accomplished, but at the expense of speed. Robert Craig has chosen for speed, which is right in 99% of all cases. If someone could please look at a possibility to implement this in Euphoria, I for one would be very glad. Or maybe this is something for Gnuphoria and-or Petephoria. To understand what is going on internally in your rounding program, try printing out some in-between results, or better still, use the trace facility. I hope this subject will find some interest amongst other non-game-programming Euphorians. In the past, I have gotten some answers = on BCD programming, but the sources were in assembler, too difficult for me.= But if there is some one..... Regards, Ad Rienks