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5.8.8  Transform a continued fraction representation into a real: dfc2f

dfc2f takes as argument a list representing a continued fraction, namely

dfc2f returns the rational number or the quadratic number with the argument as continued fraction representation.
Input:

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

Output:

1/(1/(1+sqrt(2))+2)+1

After simplification with normal:

sqrt(2)

Input:

dfc2f([1,2,3])

Output:

10/7

Input:

normal(dfc2f([3,3,6,[3,6]]))

Output:

sqrt(11)

Input:

dfc2f([1,2,3,4,5,6,7])

Output:

9976/6961

Input to verify:

1+1/(2+1/(3+1/(4+1/(5+1/(6+1/7)))))

Output:

9976/6961

Input:

dfc2f([1,2,3,4,5,43/7])

Output:

9976/6961

Input to verify:

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

Output:

9976/6961

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