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7.2.8  Transforming a continued fraction representation into a real

The dfc2f command transforms a continued fraction into a real number.

Examples

dfc2f([1,2,[2]])
     
1
1
2
+1
+2
+1
          

After simplification with normal, we obtain √2.

dfc2f([1,2,3])
     
10
7
          
normal(dfc2f([3,3,6,[3,6]]))
     
11
          
dfc2f([1,2,3,4,5,6,7])
     
9976
6961
          

Input to verify:

1+1/(2+1/(3+1/(4+1/(5+1/(6+1/7)))))
     
9976
6961
          
dfc2f([1,2,3,4,5,43/7])
     
9976
6961
          

Input to verify:

1+1/(2+1/(3+1/(4+1/(5+7/43))))
     
9976
6961
          

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