Class: Symbolic::Misc::Sum

Inherits:
Object
  • Object
show all
Includes:
Symbolic
Defined in:
lib/symbolic/sum.rb

Overview

blah

Constant Summary

Constants included from Symbolic

OPERATIONS

Instance Attribute Summary collapse

Class Method Summary collapse

Instance Method Summary collapse

Methods included from Symbolic

#*, #**, #+, #+@, #-, #-@, #/, #coerce, #factorial, #inspect, #operations, #taylor, #to_s

Constructor Details

#initialize(term, index, lb, ub) ⇒ Sum

Returns a new instance of Sum.



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# File 'lib/symbolic/sum.rb', line 8

def initialize(term,index,lb,ub)
  @term, @index, @lb, @ub = term, index, lb, ub
end

Instance Attribute Details

#index ⇒ Object (readonly)

Returns the value of attribute index.



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# File 'lib/symbolic/sum.rb', line 6

def index
  @index
end

#lb ⇒ Object (readonly)

Returns the value of attribute lb.



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# File 'lib/symbolic/sum.rb', line 6

def lb
  @lb
end

#term ⇒ Object (readonly)

Returns the value of attribute term.



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# File 'lib/symbolic/sum.rb', line 6

def term
  @term
end

#ub ⇒ Object (readonly)

Returns the value of attribute ub.



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# File 'lib/symbolic/sum.rb', line 6

def ub
  @ub
end

Class Method Details

.[](term, index, lb, ub) ⇒ Object 



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# File 'lib/symbolic/sum.rb', line 11

def Sum.[](term,index,lb,ub)
  Symbolic::Sum.new(term,index,lb,ub)
end

Instance Method Details

#diff(wrt) ⇒ Object 



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# File 'lib/symbolic/sum.rb', line 20

def diff(wrt)
  #TODO: error if wrt is the index
  if @term.diff(wrt) != 0
    Sum.new(@term.diff(wrt),@index,@lb,@ub)
  else
    0
  end
end

#expand ⇒ Object 



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# File 'lib/symbolic/sum.rb', line 14

def expand
  (lb..ub).collect{|ind| @term.subs(@index,ind)}.inject{|m,t| m + t}
end

#subs(to_replace, replacement = nil) ⇒ Object 



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# File 'lib/symbolic/sum.rb', line 34

def subs(to_replace, replacement=nil)
  #TODO: error if to_replace is @index
  if replacement == nil and to_replace.is_a?(Hash)
	super(to_replace)
  else
	Sum.new(@term.subs(to_replace, replacement),@index,@lb,@ub)
  end
end

#value ⇒ Object 



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# File 'lib/symbolic/sum.rb', line 31

def value
  self.expand.value
end

#variables ⇒ Object 



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# File 'lib/symbolic/sum.rb', line 17

def variables
  @term.variables.reject{|var| var == @index}
end