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1// (C) Copyright Gennadiy Rozental 2001-2015.
2// Distributed under the Boost Software License, Version 1.0.
3// (See accompanying file LICENSE_1_0.txt or copy at
4// http://www.boost.org/LICENSE_1_0.txt)
5//
6// See http://www.boost.org/libs/test for the library home page.
7//
8
9
10//[snippet8
11double find_root( double (*f)(double),
12 double low_guess,
13 double high_guess,
14 std::vector<double>& steps,
15 double tolerance )
16{
17 double solution;
18 bool converged = false;
19
20 while(not converged)
21 {
22 double temp = (low_guess + high_guess) / 2.0;
23 steps.push_back( temp );
24
25 double f_temp = f(temp);
26 double f_low = f(low_guess);
27
28 if(abs(f_temp) < tolerance)
29 {
30 solution = temp;
31 converged = true;
32 }
33 else if(f_temp / abs(f_temp) == f_low / abs(f_low))
34 {
35 low_guess = temp;
36 converged = false;
37 }
38 else
39 {
40 high_guess = temp;
41 converged = false;
42 }
43 }
44
45 return solution;
46}
47//]