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### Implementation

The implementation of the bisection algorithm is extremely straightforward and not detailed here.

TOMS Algorithm 748: enclosing zeros of continuous functions is described in detail in:

Algorithm 748: Enclosing Zeros of Continuous Functions, G. E. Alefeld, F. A. Potra and Yixun Shi, ACM Transactions on Mathematica1 Software, Vol. 21. No. 3. September 1995. Pages 327-344.

The implementation here is a faithful translation of this paper into C++.