Class: NaughtClass

Inherits:
Object
  • Object
show all
Includes:
SGML
Defined in:
lib/m500.rb

Direct Known Subclasses

EmptySetClass, NANClass

Class Method Summary collapse

Instance Method Summary collapse

Methods included from SGML

#sgml_id, #tog_sgml_id

Class Method Details

.new! ⇒ Object 



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# File 'lib/m500.rb', line 976

def NaughtClass.new!
  new
end

Instance Method Details

#*(a) ⇒ Object 



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# File 'lib/m500.rb', line 999

def * (a)
  return self
end

#**(a) ⇒ Object 



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# File 'lib/m500.rb', line 1005

def ** (a)
  1
end

#+(a) ⇒ Object 



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# File 'lib/m500.rb', line 993

def + (a)
  return a
end

#-(a) ⇒ Object 



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# File 'lib/m500.rb', line 996

def - (a)
  return a*(-1)
end

#/(a) ⇒ Object 



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# File 'lib/m500.rb', line 1002

def / (a)
  nan
end

#<=>(other) ⇒ Object 



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# File 'lib/m500.rb', line 1044

def <=>(other)
  0 <=> other.to_i
end

#coerce(other) ⇒ Object 



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# File 'lib/m500.rb', line 1047

def coerce(other)
  [other,0]
end

#div(a) ⇒ Object 



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# File 'lib/m500.rb', line 987

def div(a) 
  0
end

#is_0? ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/m500.rb', line 990

def is_0?
  true
end

#next ⇒ Object 



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# File 'lib/m500.rb', line 1038

def next
  1
end

#succ ⇒ Object 



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# File 'lib/m500.rb', line 1041

def succ
  1
end

#to_Dec ⇒ Object 



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# File 'lib/m500.rb', line 1032

def to_Dec
  "0.0".to_Dec
end

#to_f ⇒ Object 



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# File 'lib/m500.rb', line 1011

def to_f
  0.0
end

#to_Frac ⇒ Object 



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# File 'lib/m500.rb', line 1026

def to_Frac
  "0 0/1".to_Frac
end

#to_i ⇒ Object 



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# File 'lib/m500.rb', line 1008

def to_i
  0
end

#to_N ⇒ Object 



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# File 'lib/m500.rb', line 1020

def to_N
  emptySet
end

#to_Q ⇒ Object 



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# File 'lib/m500.rb', line 1029

def to_Q
  Quotient(0,1)
end

#to_R ⇒ Object 



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# File 'lib/m500.rb', line 1035

def to_R
  emptySet
end

#to_s ⇒ Object 



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# File 'lib/m500.rb', line 1017

def to_s
  "0"
end

#to_s! ⇒ Object 



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# File 'lib/m500.rb', line 1014

def to_s!
  "naught"
end

#to_sgml ⇒ Object 



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# File 'lib/m500.rb', line 984

def to_sgml
  "<mn #{sgml_id}class='naught'>0</mn>"
end

#to_Z ⇒ Object 



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# File 'lib/m500.rb', line 1023

def to_Z
  Zahlen(0)
end