Class: Algebra::AlgebraicExtensionField

Inherits:
ResidueClassRing show all
Defined in:
lib/algebra/algebraic-extension-field.rb

Instance Attribute Summary

Attributes inherited from ResidueClassRing

#x

Class Method Summary collapse

Instance Method Summary collapse

Methods inherited from ResidueClassRing

#*, **, #+, #-, #/, #==, [], #convert_to, #evaluate, indeterminate, #initialize, #inverse, #lift, #modulus, #modulus=, #monomial?, #need_paren_in_coeff?, #pdivmod, #to_s

Methods included from AlgebraCreator

#create, #superior?, #sysvar, #wedge

Methods included from AlgebraBase

#*, #**, #+, #+@, #-, #-@, #/, #==, append_features, #coerce, #devide?, #ground, #ground=, #regulate, #unit?, #unity, #unity?, #zero, #zero?

Constructor Details

This class inherits a constructor from Algebra::ResidueClassRing

Class Method Details

.create(field, var_obj) ⇒ Object 



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# File 'lib/algebra/algebraic-extension-field.rb', line 18

def self.create(field, var_obj)
  poly_ring = Algebra.Polynomial(field, var_obj)

  modulus = yield(poly_ring.var)
  klass = super(poly_ring, modulus)

  #      def klass.var; self[ground.var]; end
  klass.sysvar :var, klass[klass.ground.var]
  klass.sysvar :base, field

  if Algebra::AlgebraicExtensionField >= field
    env_ring = Algebra.Polynomial(field.env_ring, var_obj)
    klass.sysvar :def_polys, field.def_polys + [modulus]
  else
    env_ring = poly_ring
    klass.sysvar :def_polys, [modulus]
  end

  poly_ring.class_eval "  def abs_lift\n  if Algebra::AlgebraicExtensionField >= ground\n    project(self.class.env_ring) {|c, n| c.abs_lift }\n  else\n    project(self.class.env_ring) {|c, n| c }\n  end\n  end\n  __DEF__\n  poly_ring.sysvar :env_ring, env_ring\n  klass.sysvar :env_ring, env_ring\n\n  klass\nend\n"

.to_ary ⇒ Object 



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# File 'lib/algebra/algebraic-extension-field.rb', line 59

def self.to_ary
  [self, var]
end

Instance Method Details

#[](n) ⇒ Object 



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# File 'lib/algebra/algebraic-extension-field.rb', line 51

def [](n)
  lift[n]
end

#abs_lift ⇒ Object 



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# File 'lib/algebra/algebraic-extension-field.rb', line 55

def abs_lift
  Algebra::AlgebraicExtensionField >= self.class.base ? lift.abs_lift : lift
end