Based on pybind11, I created a Python module in C++. Possible minor changes and enhancements can be expected.

This module contains:

• A function returning the n-th element of the Fibonacci sequence.

• A function that returns numerical solution of the given ordinary differential equation (ODE) of order k:

  • x^{k}(t) = f(t, x(t),..., x^{k-1}(t))
  • x(t_{0}) = x_{0}
  • x'(t_{0}) = x'_{0}
  • ...
  • x^{k-1}(t_{0}) = x^{k-1}_{0}

• A function returning a set of points (x, y, z) such that F(x, y, z) = 0 within provided bounds to each of variables x, y, z with provided error tolerance, nods granularity, and number of threads employed to find desired solution. Function uses string evaluation based on exprtk.hpp (see: https://www.partow.net/programming/exprtk/index.html ).

• Vector class: This class is a 1-dimensional C++ container for template type data. Based on Vector class there is created a class Vector_d which is Python embedding of Vector<double>. Below is a list of functionalities available in the C++ class:

  • Template:
    • Default constructor
    • Constructor depending on the size of the Vector
    • Constructor based on the size of the Vector and a given coordinate
    • Constructor based on the std::vector data container
    • Constructor based on the object Vector
    • Destructor
  • Operators:
    • Assignation =
    • Comparison ==
    • Addition +
    • Coordinate-wise multiplication *
    • Multiplication by scalar *
    • Inner product operator ^
    • Input stream >>
    • Output stream <<
  • Insertion and appendation
  • Removal of coordinate by index or by value
  • Merge of two Vectors
  • Type conversion
  • Action of an external function in a given rolling window on Vector's coordinate
  • Sorting
  • Action of an external function on rows of several Vectors
  • Getting length and coordinate value by index
  • Iteration functionality (for Python usage only)
  • Modification of chosen coordinate
  • Returning of indices with provided values
  • Verification if a Vector has a given value stored in coords