Class: SparseMatrix::Fraction

Inherits:
Object
  • Object
show all
Includes:
Comparable
Defined in:
lib/sparse_matrix.rb

Instance Attribute Summary collapse

Instance Method Summary collapse

Constructor Details

#initialize(*args) ⇒ Fraction

Returns a new instance of Fraction.



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# File 'lib/sparse_matrix.rb', line 108

def  initialize (*args)
    if args.size == 2
        c = gcd(args[0],args[1])
        @num_ = (args[0]/c)
        @den_ = (args[1]/c)
    else
        @num_ = args[0]
        @den_ = 1
    end
end

Instance Attribute Details

#den_ ⇒ Object

Returns the value of attribute den_.



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# File 'lib/sparse_matrix.rb', line 118

def den_
  @den_
end

#num_ ⇒ Object

Returns the value of attribute num_.



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# File 'lib/sparse_matrix.rb', line 118

def num_
  @num_
end

Instance Method Details

#*(b) ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 173

def *(b)
    r =Fraction.new
    r.num_=@num_ * b.num_
    r.den_=@den_ * b.den_
    r.num_,r.den_ = minimiza(r.num_,r.den_)
    return r
end

#+(b) ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 147

def +(b)
    r=Fraction.new
    if (@den_==b.den_)
        r.num_ = @num_ + b.num_
        r.den_ = @den_
    else
        r.num_ = @num_ * b.den_ + b.num_ * @den_
        r.den_ = @den_ * b.den_
    end
    r.num_,r.den_ = minimiza(r.num_,r.den_)
    return r
end

#-(b) ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 160

def -(b)
    r =Fraction.new
    if (@den_ == b.den_)
        r.num_=@num_- b.num_
        r.den_=@den_
    else
        r.num_=@num_ * b.den_ - b.num_ * @den_
        r.den_ = @den_ * b.den_
    end
    r.num_,r.den_ = minimiza(r.num_,r.den_)
    r
end

#-@ ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 143

def -@
    Fraction.new(-@num_,@den_)
end

#/(b) ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 181

def /(b)
    r =Fraction.new
    r.num_=@num_ / b.num_
    r.den_=@den_ * b.den_
    r.num_,r.den_ = minimiza(r.num_,r.den_)
    r
end

#<=>(b) ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 189

def <=>(b)
    self.to_f <=> b.to_f
end

#==(b) ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 127

def ==(b)
    return @num_.eql?(b.num_) && @den_.eql?(b.den_)
end

#abs ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 131

def abs
    c = @num_.to_f/@den_.to_f
    return c.abs
end

#minimiza(x, y) ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 193

def minimiza(x,y)
    d = gcd(x,y)
    x = x/d
    y = y/d
    return x,y
end

#reciprocal ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 136

def reciprocal
    f=Fraction.new
    f.num_=@den_
    f.den_ = @num_
    f
end

#to_f ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 123

def to_f
    @num_.to_f/@den_.to_f
end

#to_s ⇒ Object 



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# File 'lib/sparse_matrix.rb', line 120

def to_s
    "#{@num_}/#{@den_}"
end