What is the correct algorithm for solving nonlinear equations using the dichotomy method (halving)?

Question

Mathematics

I looked at the issue in Google, the description of the algorithm is approximately the same, but the implementation in programming languages ​​is different and the answers are also ...
Mb who has the algorithm implemented correctly (pseudocode / jap)?

Answer 1

Wikipedia has. Note that the equation must satisfy the conditions of the intermediate value theorem.