Class secant

Overview

Class secant implements the secant method for a generic lambda function that takes a double as argument.

Example usage

auto function = [&](const double & x)
{
  return x * x - 4;
}

std :: cout << secant :: compute(function, -5, 0) << std :: endl; // Prints -2
std :: cout << secant :: compute(function, -0, 5) << std :: endl; // Prints 2

Interface

Static members

• static constexpr double epsilon

  machine epsilon considered for the computation

• static constexpr unsigned int rounds

  maximum number of iterations before forced timeout

Static methods

• template <typename type, typename std :: enable_if <secant :: valid <type> :: value> :: type *> double secant :: compute(const type & f, double a, double b)

  using secant method, returns the zero of function inside the range [lower_bound, upper_bound]. The templatization, with the help of the Service nested classes, checks if the passed function f is a valid type function. If not, you will get a compilation error.

  REMARK: works only if in the given range the zero is unique and the function is monotonic