Rational 1.01

e$B86$G$9!#e(B

rational 1.01 e$B$r%Q%C%1!<%8$7$^$7$?!#e(B

http://blade.nagaokaut.ac.jp/~sinara/ruby/rational/

e$B$KCV$$$F$"$j$^$9!#e(B

e$B:#;W$$=P$7$?$N$G$9$,!"e(Brational.c e$B$O!"85!9$ON)@P$5$s$Ne(B
frac ([ruby-list:11907],1999) e$B$r;29M$K$7$F:n$C$?$H$$$&$3$He(B
e$B$G$9!#$40U8+$rJ9$/$Y$-$G$7$?$M!#$9$$$^$;$s!dN)@P$5$s!#e(B

rational.c e$B$N<[email protected]!Je(B1.00 -> 1.01e$B!K$O!'e(B

  • Rational#to_f e$B$N%P%0e(B([ruby-dev:28530])e$B$rD>$7$?!#e(B
  • Float#to_r e$B$r!Ve(BRATIONALe$B4X?t!W$H$7$F<BAu$7$?!#e(B
  • Float#rationalize e$B$r!Ve(BRATIONALIZEe$B4X?t!W$H$7$F<BAu$7$?!#e(B
  • Float.decode e$B$r<BAu$7$?!#e(B
  • [email protected]?t$G$"$ke(B Rational e$B$Ne(B inspect e$B$KJ,Jle(B 1
    e$B$r$D$1$?!#e(B

[email protected]$&[email protected]$o$J$$!)!K!Ve(BRATIONALe$B4X?t!W$H$O!">.?te(B
e$B!J$NFbItI=8=!K$NM-M}?t2=$rI=$9!J35G0>e$N!K4X?t$G!"e(B
RATIONAL(1.1) e$B$O!"5!3#$K0MB8$7$^$9$,!"Nc$($Pe(B
2476979795053773/2251799813685248 e$B$K$J$j$^$9!#e(B

e$B$^$?!"!Ve(BRATIONALIZEe$B4X?t!W$H$O!"$=$NCM$re(B to_f
e$B$7$F85$N>.?t$Ke(B
e$BLa$kCf$G:G$bJ,;RJ,Jl$N>.$5$$M-M}?t$rJV$9!J35G0>e$N!K4X?t$G!"e(B
e$BNc$($Pe(B RATIONALIZE(1.1) e$B$Oe(B 11/10 e$B$G$9!#e(B

e$B%3%s%T%e!<%?$N=i?4<T$OAGKQ$Ke(B 1.1.to_r e$B$Oe(B 11/10
e$B$rJV$9$H;W$&e(B
e$B$+$i!“e(Bto_r e$B$Oe(B RATIONALIZE
e$B$G$”$k$Y$-$+$H!"$A$g$C$H;W$$$^$7$?e(B
e$B$,!"$=$b$=$=$b>.?t$r07$C$F$$$k;[email protected]$G5!3#8m:9$NCN<1$OI,[email protected]$7!“e(B
RATIONALIZE e$B$N<BAu$NJ#;($5$d<[email protected]$GI8=`E*$J%a%=%Ce(B
e$B%IL>$rM?$($k$3$H$O95$($?$[$&$,$$$$$+$J!”$H9M$($^$7$?!#e(B

Float
e$B$N%a%=%C%IL>$H$7$Fe(B"rationalize"e$B$h$jC;$/$FAj1~$7$$$b$N$Oe(B
e$B$J$$$G$9$+$M!)e(B

e$B$H$3$m$G!“4v$D$+%O!<%I%k$,$”$C$F!“e(Brational 1.01 e$B!J$3$l$Oe(B
e$B%Q%C%1!<%8L>!K$O!”$^[email protected]=`E:IU$K$G$-$J$$$H;W$$$^$9!#e(B

e$B:#G:$s$G$$$k$N$Oe(B Rational() e$B4X?t$G$9!#e(BRational(1.1)
e$B$O!"e(B
1.1.to_r e$B$HF1$8$G$$$$$H;W$$$^$9!#LdBj$Oe(B
Rational(“1.1”)e$B$G$9!#e(B
e$BA*Br;h$H$7$F!"e(B

(1) Rational(1.1) e$B$HF1$8!#$D$^$je(B RATIONAL(1.1) e$B$D$^$je(B
1.1.to_r
e$B$D$^$jJ,Jl$N$G$+$$$N!#e(B

(2) 11/10 e$B$H$9$k$D$^$je(B Rational(string) e$B$Oe(B string
e$B$rFH<+$N%Q!<e(B
e$B%:$r$7$Fe(B string e$B$N8+$?L$KAj1~$7$$M-M}?t$r$"$F$,$&!#e(B

(3) RATIONALIZE(1.1) e$B$D$^$je(B
11/10e$B!#!J$3$3$Ge(B(2)e$B$HCM$,Ey$7$$$Ne(B
e$B$O6vA3!#$G$bB?$/$N>l9g$=$&$J$k!#!Ke(B

e$B$,$"$j$($k$H;W$$$^$9!#e(B

(1)e$B$O!":#$^$G$N?tCMJQ494X?t$N;EMM$+$i9M$($k$H!“e(B
Rational(“str”) e$B$r8+$F!“e(Beval(“str”).to_r e$B$HI>2A$5$l$k$3$H$re(B
e$B4|[email protected]$O9b$$$N$G!”<+A3$H$$$($^$9!#[email protected]!”$;$C$+$/@53Ne(B
e$B$K>.?t$rM-M}?t$KJQ49$G$-$k5!2q$r<N$F$F$7$^$C$F$b$C$?$$$J$$!#e(B

e$B8=:$Oe(B(2)e$B$rA*Br$7$F$$$^$9!#[email protected]$O!VFH<+$N%Q!<%:!W$G!“e(B
Rubye$B$N;}$DB?MM$J?tCM$N%j%F%i%kI=8=$KBP1~$9$k$N$O!”$+$J$j$N<je(B
[email protected]$H$$$&$3$H$G$9!#8=:
$N<BAu$OIT40A4$G$9!#e(BRubye$B$N4{$K;}$C$Fe(B
e$B$$$k%3!<%I$r;H$&$K$7$F$b$+$J$j<j$rF~$l$kI,MW$,$"$C$FLLE]!#e(B

(3)e$B$O!“e(B1.1.to_r e$B$,e(B rational(1.1)
e$B$G$”$k$J$i!"L5$$$+$J!#e(B

e$B$I$&;W$$$^$9!)e(B

e$B$A$J$$Ke(B Rationalize() e$B4X?t$bMQ0U$7$F$$$F!“e(BRatinalize(“1.1”)
e$B$O!”$b$A$m$se(B 11/10 e$B$J$N$G$9$,!"$3$l$O!“e(BRATIONALIZE(1.1)
e$B$r7We(B
e$B;;$7$F$$$k$N$+!“FH<+$N%Q!<%:$r$7$F$=$&$J$C$F$$$k$N$+!”$I$C$Ae(B
[email protected]$H$$$&LdBj$b$”$j$^$9!#8=:
$O8e<T$G$9!#e(B

e$B$d$d$3$7$$$J$"!#e(B

e$B$U$J$P$G$9!#e(B

rational.c e$B$N<[email protected]!Je(B1.00 -> 1.01e$B!K$O!'e(B

e$B<c43$N:.Mp$HM}2r$NAj0c$,$"$k$h$&$G$9!#e(B[ruby-dev:28509]
[email protected]$C$?$3$H$Ge(B
e$B$9$,!"e(B

e$B86$5$s$Ne(B rational e$B$O!"e(Br.divmod(1) e$B$,e(B [-3, -1/4] e$B$K$J$j$^$9e(B (div e$B$He(B %e$B$be(B)e$B!#e(B

e$B$H$$$&$N$O!"KM$O%P%[email protected]$HG’<1$7$F$$$?$N$G$9$,!#e(B

e$B$G!"e(BRational(aFloat) e$B$N%P%0!“e(BFloat#decode
e$B$N<BAu!”$G$9$+$M!#e(B

e$B$=$l$+$i!“EAE}E*$Je(B C
e$B9=J8$G$J$$$H$3$m$,$”$k$N$G!"$&$A$G$O!"$=$N$^$^$Ge(B
e$B$O%3%s%Q%$%k$G$-$^$;$s$G$7$?!#$H$j$"$($:!"$b$N$9$4$/$$$$2C8:[email protected]$GDLe(B
e$B$7$F$7$^$$$^$7$?$1$I!#$J$s$+IT0BDj$G!"$$$m$$$m$d$C$F$k$HMn$A$k$_$?$$!#e(B

e$B$U$J$P$G$9!#e(B

e$B$G!"e(BRational(aFloat) e$B$N%P%0!“e(BFloat#decode e$B$N<BAu!”$G$9$+$M!#e(B

e$B$^$:!Ve(BRational(aFloat) e$B$N%P%0!W$rH/8+$7$?$N$G$9$+!)e(B
e$B$^$:$$Nc$r$"[email protected]$1$k$G$7$g$&$+!#e(B

e$B$$$(!"$=$&$G$O$J$/$F!"e(B

  • Rational#to_f e$B$N%P%0e(B([ruby-dev:28530])e$B$rD>$7$?!#e(B
    -> Rational(aFloat) e$B$N%P%0e(B([ruby-dev:28530])e$B$rD>$7$?!#e(B
  • Float.decode e$B$r<BAu$7$?!#e(B
    -> Float#decode e$B$N<BAu$r$7$?!#e(B

e$B$H$$$&$3$H$+$J!"$H$$$&3NG’$G$7$?!#$A$g$C$H$o$+$j$K$/$+$C$?$G$9$M!#e(B

[email protected]$,Dc$9$.$^$7$?$M!#$9$_$^$;$s!#[email protected]$7$?%U%!%$%k$re(B
e$BAw$C$FD:$-$?$$$N$G$9$,!J8D?M08$K!K$h$m$7$$$G$7$g$&$+!#e(B

e$BAw$k$[$I$N$b$N$G$O$J$$$G$9$,!"%Q%C%A$rAw$j$^$9!#e(B

e$B86$G$9!#e(B

e$B$U$J$P$G$9!#e(B

e$B$h$m$7$/$*4j$$$7$^$9!#e(B

rational.c e$B$N<[email protected]!Je(B1.00 -> 1.01e$B!K$O!'e(B

e$B<c43$N:.Mp$HM}2r$NAj0c$,$"$k$h$&$G$9!#e(B[ruby-dev:28509] [email protected]$C$?$3$H$Ge(B
e$B$9$,!"e(B

e$B86$5$s$Ne(B rational e$B$O!"e(Br.divmod(1) e$B$,e(B [-3, -1/4] e$B$K$J$j$^$9e(B (div e$B$He(B %e$B$be(B)e$B!#e(B

e$B$H$$$&$N$O!"KM$O%P%[email protected]$HG’<1$7$F$$$?$N$G$9$,!#e(B

e$B$3$l$O!“e(B[-4, 3/4]
e$B$G$”$k$Y$-$G$9$M!#4{$KD>$7$?$H4*0c$$$7$F$^$7$?!#e(B
e$BD>$7$^$7$?!#%P!<%8%g%s$re(B1.02e$B$K$7$^$7$?!#e(B

e$B$G!"e(BRational(aFloat) e$B$N%P%0!“e(BFloat#decode e$B$N<BAu!”$G$9$+$M!#e(B

e$B$^$:!Ve(BRational(aFloat) e$B$N%P%0!W$rH/8+$7$?$N$G$9$+!)e(B
e$B$^$:$$Nc$r$"[email protected]$1$k$G$7$g$&$+!#e(B

e$B!Ve(BFloat#decode e$B$N<BAu!W$H$$$&$N$O!"<BAu$,$^$:$$!"$H$$$&$3$He(B
e$B$G$9$+!)$"!"e(Brb_dbl2big(f) e$B$C$Fe(B floor
e$B$8$c$J$$$N$+$J!#$=$l$He(B
e$B$b!"Id9f$OJL$K$9$Y$-$H$$$&$3$H$+$7$i!#e(B

e$B$=$l$+$i!“EAE}E*$Je(B C e$B9=J8$G$J$$$H$3$m$,$”$k$N$G!"$&$A$G$O!"$=$N$^$^$Ge(B
e$B$O%3%s%Q%$%k$G$-$^$;$s$G$7$?!#$H$j$"$($:!"$b$N$9$4$/$$$$2C8:[email protected]$GDLe(B
e$B$7$F$7$^$$$^$7$?$1$I!#$J$s$+IT0BDj$G!"$$$m$$$m$d$C$F$k$HMn$A$k$_$?$$!#e(B

[email protected]$,Dc$9$.$^$7$?$M!#$9$_$^$;$s!#[email protected]$7$?%U%!%$%k$re(B
e$BAw$C$FD:$-$?$$$N$G$9$,!J8D?M08$K!K$h$m$7$$$G$7$g$&$+!#e(B

e$B86$G$9!#e(B

e$B$U$J$P$5$s!"$"$j$,$H$&$4$6$$$^$7$?!#e(B

Float#rationalize [email protected]:EY$rIU$1$?$H$-$N%P%0$rD>$7$^$7$?!#e(B
e$B;n$7$FD:$1$k$H$"$j$,$?$$$G$9!#e(B

http://blade.nagaokaut.ac.jp/~sinara/ruby/rational/

e$B$U$J$P$G$9!#e(B

e$B;n$7$^$7$?!#Nc$N%P%0$OD>$C$?$h$&$G$9$,!"$^[email protected][email protected]@$,:.$C$F$k$se(B
e$B$G!"$3$l$,$^$:$$$H;W$$$^$9e(B (e$B%G%P%C%0MQ$N%3!<%I$be(B)e$B!#e(B

e$B$=$l$H!"e(B

Rationalize(Rational(0.3), 0.1) => 5404319552844595/18014398509481984

e$B$3$l$,$*$+$7$$$H;W$$$^$9!#e(B

e$B$5$i$K!"e(B0.3.rationalize(0.1)
e$B$,2DG=$J$i!“e(B0.3.to_r.rationalize(0.1) e$B$be(B
e$B2DG=$G$”$C$F$h$$5$$,$7$^$9$7!“e(B"3e-33”.rationalize(0.1)
e$B$H$G$-$F$b$$$$e(B
e$B$N$+$b$7$l$^$;$s!#e(B

e$B0J>e$rA0Ds$K!“4X?t$H$7$F$Ne(B Rationalize
e$B$O$J$/$7$F$b$$$$!”$H;W$$$^$9!#e(B
e$B$3$N$?$a$K!"e(BKernel
e$B6u4V$r$D$+$o$J$/$F$b$$$$$h$&$J5$$,$9$k$o$1$G$9!#e(B

e$B86$G$9!#e(B

-> Rational(aFloat) e$B$N%P%0e(B([ruby-dev:28530])e$B$rD>$7$?!#e(B

  • Float.decode e$B$r<BAu$7$?!#e(B
    -> Float#decode e$B$N<BAu$r$7$?!#e(B

e$B$"!"$=$&$+$=$&$+!#[email protected]$$$V92$F$F$$$^$7$?$M!";d!#e(B

[email protected]$,Dc$9$.$^$7$?$M!#$9$_$^$;$s!#[email protected]$7$?%U%!%$%k$re(B
e$BAw$C$FD:$-$?$$$N$G$9$,!J8D?M08$K!K$h$m$7$$$G$7$g$&$+!#e(B

e$BAw$k$[$I$N$b$N$G$O$J$$$G$9$,!"%Q%C%A$rAw$j$^$9!#e(B

e$B$"$j$,$H$&$4$6$$$^$9!#[email protected]$1>.$5$$J8;z$G!’<B$O;d#C$N7P83KX$Ie(B
e$B$J$$$s$G$9!#!Ke(B

e$B$U$J$P$G$9!#e(B

Rationalize(Rational(0.3), 0.1) => 5404319552844595/18014398509481984

e$B$3$l$,$*$+$7$$$H;W$$$^$9!#e(B

e$BJdB-$G$9!#e(BRationalize e$B$O!"e(BCommon Lisp e$B$Ne(B rationalize
e$B$He(B Scheme e$B$N$=$le(B
e$B$r9g$;$?$h$&$J46$8$K$J$C$F$$$k$H;W$$$^$9!#e(B

e$B8=>u$NB’$7$F$$$($P!“e(BaRational.rationalize
e$B$,0z?t$r<h$l$J$$$N$G$”$l$P!“e(B
Rationalize e$B$bF1MM$G$”$k$Y$-$G!"e(BRationalize(aRational…)
e$B$N>l9g!“BhFse(B
e$B0z?t$r$H$l$k$N$O$*$+$7$$!”$H$$$&$3$H$K$J$k$H;W$$$^$9!#e(B

[email protected]!“BhFs0z?t$r<u$1$H$k$3$H$,$G$-$F!”$=$l$K4p$$$FC1=c2=$G$-$k$N$G!“Bhe(B
e$BFs0z?t$,$”$k>l9g$O!"$=$&$7$F$h$$$H;W$$$^$9!#e(BaRational.rationalize
e$B$b0ze(B
e$B?t$r<h$C$F$h$$$H;W$$$^$9!#KM$H$7$F$O!"$=$&$$$&[email protected]$m$&!"$H;W$C$F$$$?e(B
e$B$N$G$9$,!"$I$&$G$7$g$&!#e(B

e$B$"$H!"$D$$$G$G$9$,!"e(B Rational#- e$B$N7k2L$,$*$+$7$$$G$9!#e(B

Rational(1,2) - 0.5 => 1.0

e$B86$G$9!#e(B

e$B$U$J$P$G$9!#e(B

e$B;n$7$^$7$?!#Nc$N%P%0$OD>$C$?$h$&$G$9$,!"$^[email protected][email protected]@$,:.$C$F$k$se(B
e$B$G!"$3$l$,$^$:$$$H;W$$$^$9e(B (e$B%G%P%C%0MQ$N%3!<%I$be(B)e$B!#e(B

e$B$9$$$^$;$s!#$;$C$+$/%Q%C%A$G;XE&[email protected]$$$?$N$K!"8eH>H>J,$re(B
e$B8+Mn$H$7$^$7$?!#e(B

e$B$=$l$H!"e(B

Rationalize(Rational(0.3), 0.1) => 5404319552844595/18014398509481984

e$B$3$l$,$*$+$7$$$H;W$$$^$9!#e(B

e$BM-M}?t$re(B Rationalize
e$B$9$k$N$O$*$+$7$$$H;W$C$?$N$G!"AGDL$7$5$;$?$N$Ge(B
e$B$9$,!“Bh#[email protected]:EY$r;XDj$9$l$P0UL#$,$”$k$N$G!"e(B

Rational(0.3).rationalize(0.1) => 1/3

e$B$H$J$k$h$&$K$7$^$7$?!#[email protected]$70z?t$,$J$$$H!"e(B

Rational(0.3).rationalize => 5404319552844595/18014398509481984

e$B$G$9!#e(B

e$B$5$i$K!"e(B0.3.rationalize(0.1) e$B$,2DG=$J$i!“e(B0.3.to_r.rationalize(0.1) e$B$be(B
e$B2DG=$G$”$C$F$h$$5$$,$7$^$9$7!“e(B"3e-33”.rationalize(0.1) e$B$H$G$-$F$b$$$$e(B
e$B$N$+$b$7$l$^$;$s!#e(B

e$B$=$&$G$9$M!#A4$F$Ne(B rationalize
e$B%a%=%C%I$O!"0z?t$r;}$D$h$&$K$7$^$7$?!#e(B

e$B0J>e$rA0Ds$K!“4X?t$H$7$F$Ne(B Rationalize e$B$O$J$/$7$F$b$$$$!”$H;W$$$^$9!#e(B
e$B$3$N$?$a$K!"e(BKernel e$B6u4V$r$D$+$o$J$/$F$b$$$$$h$&$J5$$,$9$k$o$1$G$9!#e(B

e$B3N$+$Ke(B Rationalize e$B$H$$$&%/%i%9$,$J$$$N$Ke(B Rationalize()
e$B4X?t$,$“e(B
e$B$k$H$$$&$N$bJQ$J$N$G!”$J$/$7$^$7$?!#e(B

e$BJdB-$G$9!#e(BRationalize e$B$O!"e(BCommon Lisp e$B$Ne(B rationalize e$B$He(B Scheme e$B$N$=$le(B
e$B$r9g$;$?$h$&$J46$8$K$J$C$F$$$k$H;W$$$^$9!#e(B

Scheme e$B$K$Oe(B rationalize->exact
e$B$H$$$&$N$b$"$j$^$9$M!#$$$:$l$K$7$Fe(B
e$B$bM-M}?t$re(B rationalize
e$B$9$k$H$$$&[email protected];H$$$O$*$+$7$/$F!"e(BHaskell e$B$Ne(B
approxRational e$B$H$$$&L>A0$,E,Ev$+$b$7$l$J$$!#Bh#20z?t$r<h$i$J$$e(B
Common Lisp e$B$Ne(B rationalize e$B$OG<[email protected]$G$-$^$9!#e(B

e$B8=>u$NB’$7$F$$$($P!“e(BaRational.rationalize e$B$,0z?t$r<h$l$J$$$N$G$”$l$P!“e(B
Rationalize e$B$bF1MM$G$”$k$Y$-$G!"e(BRationalize(aRational…) e$B$N>l9g!“BhFse(B
e$B0z?t$r$H$l$k$N$O$*$+$7$$!”$H$$$&$3$H$K$J$k$H;W$$$^$9!#e(B

[email protected]!“BhFs0z?t$r<u$1$H$k$3$H$,$G$-$F!”$=$l$K4p$$$FC1=c2=$G$-$k$N$G!“Bhe(B
e$BFs0z?t$,$”$k>l9g$O!"$=$&$7$F$h$$$H;W$$$^$9!#e(BaRational.rationalize e$B$b0ze(B
e$B?t$r<h$C$F$h$$$H;W$$$^$9!#KM$H$7$F$O!"$=$&$$$&[email protected]$m$&!"$H;W$C$F$$$?e(B
e$B$N$G$9$,!"$I$&$G$7$g$&!#e(B

e$BF10U$7$^$9!#8@MU$O$$+$7$$$1$I!"e(BaRational.rationalize
e$B$K$b0z?t$re(B
e$B$H$k$3$H$r5v$7$^$7$?!#O@M}E
$K$"[email protected]$k$N$G!#e(B

e$B$"$H!"$D$$$G$G$9$,!"e(B Rational#- e$B$N7k2L$,$*$+$7$$$G$9!#e(B

Rational(1,2) - 0.5 => 1.0

e$B:#$^$G$3$s$J$N$,;D$C$F$$$?$H$O!"M-M}?t$+$i>.?t$r0z$$$??M$,$$$J$+$C$?!)e(B
test suits
e$B$K$OF~$C$F$$$?$N$G$9$,!“F1L>$N#2$D$N%F%9%H4X?t$,8e$K$”$C$F!"e(B
e$BL58z$K$J$C$F$$$^$7$?!#$,$/$C!#e(B

e$B$U$J$P$G$9!#e(B

e$B$$$m$$$m$HDs0F$,<u$1$$$l$i$l$F$&$l$7$$$G$9!#e(B

Scheme e$B$K$Oe(B rationalize->exact e$B$H$$$&$N$b$"$j$^$9$M!#$$$:$l$K$7$Fe(B
e$B$bM-M}?t$re(B rationalize e$B$9$k$H$$$&[email protected];H$$$O$*$+$7$/$F!"e(BHaskell e$B$Ne(B
approxRational e$B$H$$$&L>A0$,E,Ev$+$b$7$l$J$$!#Bh#20z?t$r<h$i$J$$e(B
Common Lisp e$B$Ne(B rationalize e$B$OG<[email protected]$G$-$^$9!#e(B

rationalize->exact e$B$O!“e(BMIT Scheme
e$B$N3HD%$_$?$$$G$9$,!”$I$A$i$+$H$$$&$H!"e(B
e$B$3$C$A$K6a$$$s$G$7$g$&$M!#e(B

e$BL>A0$,%X%s$8$c$J$$$+$H$$$&$N$O!"$=$&$J$N$+$J!"$H$$$&$N$O$"$j$^$9$,!"e(B
Common Lisp e$B$K$7$F$b!"M-M}?t$r<u$1$H$j$^$9$7!"e(BScheme
e$B$G$O!"Hs87L)?t$re(B
e$B$D$+$C$?7W;;$O86B’E*$KHs87L)?t$rJV$9$3$H$K$J$k$N$G!“M-M}?t$,JV$k$H$O8Be(B
e$B$i$J$$$o$1$G!#$7$+$7!”$d$C$Q$je(B approxRational
e$B$_$?$$$J$N$,$$$$$s$G$9$+e(B
e$B$M!#e(B

e$B$H$3$m$G!"e(BScheme e$B$Ne(B inexact->exact e$B$be(B Haskell e$B$Ne(B
approxRational e$B$bBhFse(B
e$B0z?t$OIi?t$G$b9=$o$J$$$h$&$G$9!#$J$N$G!“FCJL$JM}M3$,$J$1$l$P!”$=$&$7$Fe(B
e$B$b$$$$$+$J$H;W$$$^$7$?!#e(B

e$B$"$H!"e(Brationalize
e$BCf$NF1CMH=Dj$,$*$+$7$$$h$&$K;W$&$N$G$9$,!"3NG’$r$*4je(B
e$B$$$7$^$9!#e(B

— rational.c.orig Tue Apr 18 20:28:12 2006
+++ rational.c Sat Apr 22 23:56:21 2006
@@ -478,5 +478,5 @@
return RT_NEW2(RT_MINUS(snum, RT_MUL(other, sden)), sden);
case T_FLOAT:

  •    return RT_PLUS(rb_rat_to_f(self), RT_UMINUS(other));
    
  •    return RT_MINUS(rb_rat_to_f(self), other);
    

    default:
    @@ -942,5 +942,5 @@

     if (RT_NEG(eps)) {
    
  •    rb_raise(rb_eArgError, "precision is negative.");
    
  • eps = RT_UMINUS(eps);
    }

@@ -962,5 +962,5 @@
RT_read2(x, xn, xd);
RT_read2(y, yn, yd);

  •  if (RT_EQ(xn, xd) && RT_EQ(yn, yd)) {
    
  •  if (RT_EQ(xn, yn) && RT_EQ(xd, yd)) {
       return x;
     }
    

@@ -1359,5 +1359,5 @@

   if (RT_NEG(eps)) {
  •    rb_raise(rb_eArgError, "precision is negative.");
    
  • eps = RT_UMINUS(eps);
    }

@@ -1601,5 +1601,5 @@

   if (RT_NEG(eps)) {
  •    rb_raise(rb_eArgError, "precision is negative.");
    
  • eps = RT_UMINUS(eps);
    }

@@ -1614,5 +1614,5 @@
RT_read2(x, xn, xd);
RT_read2(y, yn, yd);

  •  if (RT_EQ(xn, xd) && RT_EQ(yn, yd)) {
    
  •  if (RT_EQ(xn, yn) && RT_EQ(xd, yd)) {
       return x;
     }

e$B86$G$9!#e(B

e$B$U$J$P$G$9!#e(B

e$B$$$m$$$m$HDs0F$,<u$1$$$l$i$l$F$&$l$7$$$G$9!#e(B

e$B$$$($$$(!"$3$A$i$3$=L5NA$GE::o$5$;$F$7$^$C$F62=L$G$9!#$"$j$,$H$&e(B
e$B$4$6$$$^$9!#e(B

rationalize->exact e$B$O!“e(BMIT Scheme e$B$N3HD%$_$?$$$G$9$,!”$I$A$i$+$H$$$&$H!"e(B
e$B$3$C$A$K6a$$$s$G$7$g$&$M!#e(B

e$BL>A0$,%X%s$8$c$J$$$+$H$$$&$N$O!"$=$&$J$N$+$J!"$H$$$&$N$O$"$j$^$9$,!"e(B
Common Lisp e$B$K$7$F$b!"M-M}?t$r<u$1$H$j$^$9$7!"e(BScheme e$B$G$O!"Hs87L)?t$re(B
e$B$D$+$C$?7W;;$O86B’E*$KHs87L)?t$rJV$9$3$H$K$J$k$N$G!“M-M}?t$,JV$k$H$O8Be(B
e$B$i$J$$$o$1$G!#$7$+$7!”$d$C$Q$je(B approxRational e$B$_$?$$$J$N$,$$$$$s$G$9$+e(B
e$B$M!#e(B

e$B:#$N;EMM$O$J$s$H$J$/e(BRubye$B$i$7$$$h$&$J5$$b$9$k$N$G!"$A$g$C$He(B
e$B$3$N$^$^$G9T$-$?$$$H;W$$$^$9!#e(B

e$B$H$3$m$G!"e(BScheme e$B$Ne(B inexact->exact e$B$be(B Haskell e$B$Ne(B approxRational e$B$bBhFse(B
e$B0z?t$OIi?t$G$b9=$o$J$$$h$&$G$9!#$J$N$G!“FCJL$JM}M3$,$J$1$l$P!”$=$&$7$Fe(B
e$B$b$$$$$+$J$H;W$$$^$7$?!#e(B

e$BN;2r!#e(B

e$B$"$H!"e(Brationalize e$BCf$NF1CMH=Dj$,$*$+$7$$$h$&$K;W$&$N$G$9$,!"3NG’$r$*4je(B
e$B$$$7$^$9!#e(B

e$B$*CQ$:$+$7$$!#$G$b$U$J$P$5$s$h$/8+$F$$$k$J$"!#$=$l$H$be(B
date e$B4X78$N%9%/%j%W%H$,%F%9%H$K$J$C$F$$$k$N$+$J!#e(B

e$B$H$$$&$o$1$G!“e(Bversion 1.07 e$B$K$”$2$^$7$?!#e(B

e$B$U$J$P$G$9!#e(B

1.07
e$B$G$9$,!“8=>u!“A4A3%a%b%j$r2rJ|$7$F$J$$$_$?$$$G$9$1$I!”$3$l$C$F2?e(B
e$B$+0UL#$,$”$k$N$G$7$g$&$+!#e(B

e$B$A$J$_$K!"e(BFreeBSD e$B$G$O!"BgNL$Ke(B Rational
e$B%%V%8%’%/%H$r$D$/$k$H%3%"$rEGe(B
e$B$-$^$7$?!#2rJ|$9$k$h$&$K$7$?$i!"<}$^$C$?$h$&$G$9!#B>$N4D6-$G$O!"%a%b%je(B
e$B$,B-$j$J$/$F;`[email protected]$1$J$N$G!"$?$V$s!"e(B(e$B$&$A$Ne(B?) FreeBSD
e$B$,$
[email protected]$He(B
e$B;W$$$^$9$,!#e(B

e$B86$G$9!#e(B

e$B$U$J$P$G$9!#e(B

1.07 e$B$G$9$,!“8=>u!“A4A3%a%b%j$r2rJ|$7$F$J$$$_$?$$$G$9$1$I!”$3$l$C$F2?e(B
e$B$+0UL#$,$”$k$N$G$7$g$&$+!#e(B

e$B$9$$$^$;$s!#C1$K%5%[email protected]$1$G$9!#e(B

e$B$A$J$_$K!"e(BFreeBSD e$B$G$O!"BgNL$Ke(B Rational e$B%%V%8%’%/%H$r$D$/$k$H%3%"$rEGe(B
e$B$-$^$7$?!#2rJ|$9$k$h$&$K$7$?$i!"<}$^$C$?$h$&$G$9!#B>$N4D6-$G$O!"%a%b%je(B
e$B$,B-$j$J$/$F;`[email protected]$1$J$N$G!"$?$V$s!"e(B(e$B$&$A$Ne(B?) FreeBSD e$B$,$
[email protected]$He(B
e$B;W$$$^$9$,!#e(B

e$B2DG=$J$i$P$=$N:9J,[email protected]$1$k$H=u$+$k$N$G$9$,!#e(B(^^;;

e$B86$G$9!#e(B

rat = Data_Make_Struct(klass, struct RRational,
  •                       rb_rat_mark, rb_rat_finalizer, r);
    
  •                       rb_rat_mark, -1, r);
    
    r->num = num;
    r->den = den;

e$B$"!“e(B-1e$B$r;XDj$9$k$N$G$9$M!#$C$Fe(BREADME.EXT.jae$B$K=q$$$F$”$j$^$9$M!#e(B
e$B$"$j$,$H$&$4$6$$$^$7$?!#$=$N$^$^e(B1.0.8e$B$K<h$j9~$^$;$F$b$i$$$^$7e(B
e$B$?!#e(B

In article [email protected],
Shin-ichiro HARA [email protected] writes:

rat = Data_Make_Struct(klass, struct RRational,
  •                       rb_rat_mark, rb_rat_finalizer, r);
    
  •                       rb_rat_mark, -1, r);
    
    r->num = num;
    r->den = den;

e$B$"!“e(B-1e$B$r;XDj$9$k$N$G$9$M!#$C$Fe(BREADME.EXT.jae$B$K=q$$$F$”$j$^$9$M!#e(B
e$B$"$j$,$H$&$4$6$$$^$7$?!#$=$N$^$^e(B1.0.8e$B$K<h$j9~$^$;$F$b$i$$$^$7e(B
e$B$?!#e(B

e$B;W$C$?$s$G$9$,!“J,;R$HJ,Jl$H$$$&$U$?$D$N%U%#!<%k%I$7$+$J$$$Ne(B
e$B$G$”$l$P!"e(BRObject e$B$KKd$a9~$a$k$O$:$G!"3+J|$9$kI,[email protected]$H$$$&0Je(B
e$BA0$K30$KNN0h$r3NJ]$9$k$N$O%a%[email protected]$H;W$$$^$9!#e(B

e$B$=$l$r9M$($k$H!"e(BStruct e$B$r;H$&$He(B (1.9 e$B$G$Oe(B)
e$B%a%b%[email protected]$G$-e(B
e$B$k$N$G$O$J$$$+$H$$$&5$$,$7$^$9!#e(B

e$B$U$J$P$G$9!#e(B

e$B$&$A$G$O$3$&[email protected]$1$G$9$1$I!#e(B

— rational.c.orig Sun Apr 23 03:14:07 2006
+++ rational.c Sat May 13 14:30:31 2006
@@ -138,7 +138,7 @@
struct RRational *r;

 rat = Data_Make_Struct(klass, struct RRational,
  •                       rb_rat_mark, rb_rat_finalizer, r);
    
  •                       rb_rat_mark, -1, r);
    
    r->num = num;
    r->den = den;

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