Class: Abst::IntegerResidueField

Inherits:

IntegerResidueRing

• Object
• IntegerResidueRing
• Abst::IntegerResidueField

Defined in:

lib/include/integer.rb

Instance Attribute Summary

Attributes inherited from IntegerResidueRing

#n

Class Method Summary

• .order(op = :+) ⇒ Object

Instance Method Summary

• #/(other) ⇒ Object
• #inverse ⇒ Object

Methods inherited from IntegerResidueRing

#==, cardinality, #initialize, one, #order, #to_i, to_s, #to_s, to_tex, zero

Methods included from Ring

#%, #**, included

Constructor Details

This class inherits a constructor from Abst::IntegerResidueRing

Class Method Details

.order(op = :+) ⇒ Object

# File 'lib/include/integer.rb', line 371

def order(op = :+)
  return @mod - 1 if :* == op
  return super
end

Instance Method Details

#/(other) ⇒ Object

# File 'lib/include/integer.rb', line 381

def /(other)
  return self.class.new(@n * other.inverse.n)
end

#inverse ⇒ Object

# File 'lib/include/integer.rb', line 377

def inverse
  return self.class.new(Abst.inverse(@n, self.class.mod))
end