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		75feee0968
		
	
	
	
	
		
			
			git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@13944 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
		
			
				
	
	
		
			50 lines
		
	
	
	
		
			870 B
		
	
	
	
		
			Ruby
		
	
	
	
	
	
			
		
		
	
	
			50 lines
		
	
	
	
		
			870 B
		
	
	
	
		
			Ruby
		
	
	
	
	
	
| # The Computer Language Shootout
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| # http://shootout.alioth.debian.org/
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| # Contributed by Sokolov Yura
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| 
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| def eval_A(i,j)
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| 	return 1.0/((i+j)*(i+j+1)/2+i+1)
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| end
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| 
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| def eval_A_times_u(u)
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|         v, i = nil, nil
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| 	(0..u.length-1).collect { |i|
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|                 v = 0
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| 		for j in 0..u.length-1
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| 			v += eval_A(i,j)*u[j]
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|                 end
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|                 v
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|         }
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| end
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| 
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| def eval_At_times_u(u)
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| 	v, i = nil, nil
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| 	(0..u.length-1).collect{|i|
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|                 v = 0
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| 		for j in 0..u.length-1
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| 			v += eval_A(j,i)*u[j]
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|                 end
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|                 v
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|         }
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| end
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| 
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| def eval_AtA_times_u(u)
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| 	return eval_At_times_u(eval_A_times_u(u))
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| end
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| 
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| n = 500 # ARGV[0].to_i
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| 
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| u=[1]*n
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| for i in 1..10
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|         v=eval_AtA_times_u(u)
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|         u=eval_AtA_times_u(v)
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| end
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| vBv=0
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| vv=0
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| for i in 0..n-1
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|         vBv += u[i]*v[i]
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|         vv += v[i]*v[i]
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| end
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| 
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| str = "%0.9f" % (Math.sqrt(vBv/vv)), "\n"
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| # print str
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