rational e$B$Oe(B floore$B!"e(Btruncatee$B!"e(Bceile$B!"e(Bround
e$B$rDj5A$7$F$$$^$;$s!#e(BNumeric
e$B$N$^$^Ds6!$7$F$$$^$9!#$7$+$7!"e(BNumeric
e$B$N$b$N$O!"IbF0>.?tE@?t$KJQ49$7$Fe(B
e$B$7$^$&$?$a$^$H$b$J7k2L$,F@$i$l$k$H$O8B$j$^$;$s!#e(B[ruby-dev:32201]
e$B8=>u!"e(Bfloor e$B$N$+$o$j$Ke(B to_i
e$B$r$D$+$C$FLdBj$,$J$$$N$O!"e(Bto_i e$B$NDj5A$,e(B
floor e$B$K$J$C$F$$$k$+$i$G$9!#e(BFloat#to_i e$B$NDj5A$+$i!“e(BNumeric
e$B$Ne(B to_i e$B$Oe(B
truncate e$B$G$”$k$Y$-$@$H;W$$$^$9!#e(B
Complex(1,2).numerator e$B$,%(%i!<$K$J$j$^$9!#e(Brational
e$B$rFI$s$G$$$k$H%(%i!<e(B
e$B$K$J$j$^$;$s!#e(B
$ ruby19 -r complex -e ‘Complex(1,2).numerator’
/usr/local/ruby19/lib/ruby/1.9.0/complex.rb:345:in denominator': undefined methoddenominator’ for 1:Fixnum (NoMethodError)
from /usr/local/ruby19/lib/ruby/1.9.0/complex.rb:352:in
numerator' from -e:1:in’
Complex#quo e$B$,5!G=$7$^$;$s!#IaDL$K@0?t3d$j$7$F$7$^$$$^$9!#e(B
$ ruby19 -r complex -e ‘p Complex(1,2).quo(2)’
Complex(0, 1)
$ ruby19 -r complex -r rational -e ‘p Complex(1,2).quo(2)’
Complex(0, 1)
complex
e$B$G$O!“ITMW$K;W$($k%a%=%C%I$,J|CV$7$F$”$j$^$9!#e(B>e$B!"e(B>=e$B!"e(B<e$B!"e(B<=e$B!"e(B
between?e$B!"e(Bfloore$B!"e(Bceile$B!"e(Brounde$B!"e(Btruncate
e$B$J$I!#e(B1.8 e$B$G$O!"e(Bstepe$B!“e(B<=> e$B$b!#e(B
e$B$”$H!“e(B% e$B$O0UL#$,$”$k$N$G$7$g$&$+!#e(B
mathn e$B$G!“e(BRational#inspect
e$B$r=q$-49$($F$$$k$,!”$5$9$,$KM>7W$J$*@$OC$Ne(B
e$B$h$&$J5$$b$7$^$9!#$I$&$7$F$b$7$?$1$l$P!"$=$&$$$&$3$H$O!“e(Birb
e$B$J$I%”%W%je(B
e$B%1!<%7%g%sB&$G$d$l$P$$$$$h$&$J5$$,$7$^$9!#e(B
e$B0J2<=$@50F!#e(Bfloore$B!"e(Bceile$B!"e(Btruncatee$B!"e(Bround
e$B$O86$5$s$Ne(B rational e$B$+$i%Q%/e(B
e$B$j$^$7$?!#e(B
Index: lib/rational.rb
— lib/rational.rb (revision 15409)
+++ lib/rational.rb (working copy)
@@ -238,6 +238,10 @@
end
end
- def div(other)
- (self / other).floor
- end
-
Returns the remainder when this value is divided by +other+.
@@ -249,7 +253,7 @@
r % 0.26 # -> 0.19
def % (other)
- value = (self / other).to_i
- value = (self / other).floor
return self - other * value
end
@@ -261,7 +265,7 @@
r.divmod Rational(1,2) # -> [3, Rational(1,4)]
def divmod(other)
- value = (self / other).to_i
- value = (self / other).floor
return value, self - other * value
end
@@ -270,7 +274,7 @@
def abs
if @numerator > 0
-
Rational.new!(@numerator, @denominator)
-
elseself
Rational.new!(-@numerator, @denominator)
end
@@ -345,10 +349,37 @@Rational(-7,4) == -1.75 # -> true
Rational(-7,4).to_i == (-1.75).to_i # false
- def to_i
- Integer(@numerator.div(@denominator))
-
def floor()
-
@numerator.div(@denominator)
end -
def ceil()
-
-((-@numerator).div(@denominator))
-
end
-
def truncate()
-
if @numerator < 0
-
return -((-@numerator).div(@denominator)) -
end
-
@numerator.div(@denominator)
-
end
-
alias_method :to_i, :truncate
-
def round()
-
if @numerator < 0
-
num = -@numerator -
num = num * 2 + @denominator -
den = @denominator * 2 -
-(num.div(den)) -
else
-
num = @numerator * 2 + @denominator -
den = @denominator * 2 -
num.div(den) -
end
-
end
-
Converts the rational to a Float.
@@ -476,10 +507,11 @@
class Fixnum
alias quof quo
- undef quo
-
If Rational is defined, returns a Rational number instead of a
Fixnum.
- remove_method :quo
-
If Rational is defined, returns a Rational number instead of a
Float.
def quo(other)
- Rational.new!(self,1) / other
- Rational.new!(self, 1) / other
end
alias rdiv quo
@@ -488,26 +520,18 @@
if other >= 0
self.power!(other)
else
-
Rational.new!(self,1)**other
-
endRational.new!(self, 1)**other
end
- unless defined? 1.power!
- alias power! **
- alias ** rpower
- end
end
class Bignum
- unless defined? Complex
- alias power! **
- end
- alias quof quo
- remove_method :quo
- alias quof quo
- undef quo
-
If Rational is defined, returns a Rational number instead of a
Bignum.
-
If Rational is defined, returns a Rational number instead of a
Float.
def quo(other)
- Rational.new!(self,1) / other
- Rational.new!(self, 1) / other
end
alias rdiv quo
@@ -519,8 +543,15 @@
Rational.new!(self, 1)**other
end
end
+end
- unless defined? Complex
+unless defined? 1.power!
- class Fixnum
- alias power! **
alias ** rpower
end - class Bignum
- alias power! **
- alias ** rpower
- end
end
Index: lib/mathn.rb
===================================================================
— lib/mathn.rb (revision 15409)
+++ lib/mathn.rb (working copy)
@@ -121,11 +121,6 @@
class Rational
Unify = true
-
remove_method :inspect
-
def inspect
-
format “%s/%s”, numerator.inspect, denominator.inspect
-
end
-
alias power! **
def ** (other)
Index: lib/complex.rb
===================================================================
— lib/complex.rb (revision 15409)
+++ lib/complex.rb (working copy)
@@ -104,6 +104,10 @@
@RCS_ID=’-$Id: complex.rb,v 1.3 1998/07/08 10:05:28 keiju Exp keiju
$-’undef step
-
undef <, <=, <=>, >, >=
-
undef between?
-
undef divmod, modulo
-
undef floor, truncate, ceil, round
def scalar?
false
@@ -199,6 +203,10 @@
x/y
end
end -
def quo(other)
-
Complex(@real.quo(1), @image.quo(1)) / other
-
end
Raise this complex number to the given (real or complex) power.
@@ -248,6 +256,8 @@
Remainder after division by a real or complex number.
+=begin
def % (other)
if other.kind_of?(Complex)
Complex(@real % other.real, @image % other.image)
@@ -258,7 +268,8 @@
x % y
end
end
+=end
+
#–
def divmod(other)
if other.kind_of?(Complex)
@@ -312,8 +323,6 @@
end
alias conj conjugate
- undef <=>
-
Test for numerical equality (a == a + 0i).
@@ -410,9 +419,35 @@
end
+class Integer
-
unless defined?(1.numerator) # temporal
-
def numerator() self end
-
def denominator() 1 end
-
def gcd(other)
-
min = self.abs -
max = other.abs -
while min > 0 -
tmp = min -
min = max % min -
max = tmp -
end -
max -
end
-
def lcm(other)
-
if self.zero? or other.zero? -
0 -
else -
(self.div(self.gcd(other)) * other).abs -
end -
end
-
end
+end
+
module Math
alias sqrt! sqrt
alias exp! exp