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* lib/mathn.rb: Fix indentation. Patch by Jason Dew.
[Ruby 1.9 - Feature #4682] git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@31539 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
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2 changed files with 54 additions and 46 deletions
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@ -1,3 +1,8 @@
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Fri May 13 07:04:33 2011 Eric Hodel <drbrain@segment7.net>
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* lib/mathn.rb: Fix indentation. Patch by Jason Dew.
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[Ruby 1.9 - Feature #4682]
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Fri May 13 06:50:43 2011 Eric Hodel <drbrain@segment7.net>
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Fri May 13 06:50:43 2011 Eric Hodel <drbrain@segment7.net>
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* lib/mathn.rb: Add documentation. Patch by Jason Dew. [Ruby 1.9 -
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* lib/mathn.rb: Add documentation. Patch by Jason Dew. [Ruby 1.9 -
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95
lib/mathn.rb
95
lib/mathn.rb
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@ -73,40 +73,43 @@ end
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class Rational
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class Rational
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remove_method :**
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remove_method :**
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##
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# exponentiate by +other+
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def ** (other)
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def ** (other)
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if other.kind_of?(Rational)
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if other.kind_of?(Rational)
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other2 = other
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other2 = other
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if self < 0
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if self < 0
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return Complex(self, 0.0) ** other
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return Complex(self, 0.0) ** other
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elsif other == 0
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elsif other == 0
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return Rational(1,1)
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return Rational(1,1)
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elsif self == 0
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elsif self == 0
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return Rational(0,1)
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return Rational(0,1)
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elsif self == 1
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elsif self == 1
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return Rational(1,1)
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return Rational(1,1)
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end
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end
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npd = numerator.prime_division
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npd = numerator.prime_division
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dpd = denominator.prime_division
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dpd = denominator.prime_division
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if other < 0
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if other < 0
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other = -other
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other = -other
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npd, dpd = dpd, npd
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npd, dpd = dpd, npd
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end
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end
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for elm in npd
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for elm in npd
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elm[1] = elm[1] * other
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elm[1] = elm[1] * other
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if !elm[1].kind_of?(Integer) and elm[1].denominator != 1
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if !elm[1].kind_of?(Integer) and elm[1].denominator != 1
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return Float(self) ** other2
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return Float(self) ** other2
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end
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end
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elm[1] = elm[1].to_i
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elm[1] = elm[1].to_i
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end
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end
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for elm in dpd
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for elm in dpd
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elm[1] = elm[1] * other
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elm[1] = elm[1] * other
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if !elm[1].kind_of?(Integer) and elm[1].denominator != 1
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if !elm[1].kind_of?(Integer) and elm[1].denominator != 1
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return Float(self) ** other2
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return Float(self) ** other2
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end
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end
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elm[1] = elm[1].to_i
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elm[1] = elm[1].to_i
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end
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end
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num = Integer.from_prime_division(npd)
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num = Integer.from_prime_division(npd)
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@ -116,14 +119,14 @@ class Rational
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elsif other.kind_of?(Integer)
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elsif other.kind_of?(Integer)
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if other > 0
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if other > 0
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num = numerator ** other
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num = numerator ** other
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den = denominator ** other
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den = denominator ** other
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elsif other < 0
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elsif other < 0
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num = denominator ** -other
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num = denominator ** -other
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den = numerator ** -other
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den = numerator ** -other
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elsif other == 0
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elsif other == 0
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num = 1
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num = 1
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den = 1
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den = 1
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end
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end
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Rational(num, den)
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Rational(num, den)
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elsif other.kind_of?(Float)
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elsif other.kind_of?(Float)
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@ -144,17 +147,17 @@ module Math
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if a.kind_of?(Complex)
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if a.kind_of?(Complex)
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abs = sqrt(a.real*a.real + a.imag*a.imag)
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abs = sqrt(a.real*a.real + a.imag*a.imag)
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# if not abs.kind_of?(Rational)
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# if not abs.kind_of?(Rational)
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# return a**Rational(1,2)
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# return a**Rational(1,2)
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# end
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# end
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x = sqrt((a.real + abs)/Rational(2))
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x = sqrt((a.real + abs)/Rational(2))
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y = sqrt((-a.real + abs)/Rational(2))
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y = sqrt((-a.real + abs)/Rational(2))
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# if !(x.kind_of?(Rational) and y.kind_of?(Rational))
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# if !(x.kind_of?(Rational) and y.kind_of?(Rational))
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# return a**Rational(1,2)
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# return a**Rational(1,2)
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# end
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# end
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if a.imag >= 0
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if a.imag >= 0
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Complex(x, y)
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Complex(x, y)
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else
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else
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Complex(x, -y)
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Complex(x, -y)
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end
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end
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elsif a.respond_to?(:nan?) and a.nan?
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elsif a.respond_to?(:nan?) and a.nan?
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a
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a
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@ -176,36 +179,36 @@ module Math
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byte_a = [src & 0xffffffff]
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byte_a = [src & 0xffffffff]
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# ruby's bug
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# ruby's bug
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while (src >= max) and (src >>= 32)
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while (src >= max) and (src >>= 32)
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byte_a.unshift src & 0xffffffff
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byte_a.unshift src & 0xffffffff
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end
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end
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answer = 0
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answer = 0
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main = 0
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main = 0
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side = 0
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side = 0
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for elm in byte_a
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for elm in byte_a
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main = (main << 32) + elm
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main = (main << 32) + elm
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side <<= 16
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side <<= 16
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if answer != 0
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if answer != 0
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if main * 4 < side * side
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if main * 4 < side * side
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applo = main.div(side)
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applo = main.div(side)
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else
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else
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applo = ((sqrt!(side * side + 4 * main) - side)/2.0).to_i + 1
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applo = ((sqrt!(side * side + 4 * main) - side)/2.0).to_i + 1
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end
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end
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else
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else
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applo = sqrt!(main).to_i + 1
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applo = sqrt!(main).to_i + 1
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end
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end
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while (x = (side + applo) * applo) > main
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while (x = (side + applo) * applo) > main
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applo -= 1
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applo -= 1
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end
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end
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main -= x
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main -= x
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answer = (answer << 16) + applo
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answer = (answer << 16) + applo
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side += applo * 2
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side += applo * 2
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end
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end
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if main == 0
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if main == 0
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answer
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answer
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else
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else
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sqrt!(a)
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sqrt!(a)
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end
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end
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end
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end
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end
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end
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