mrsafalpiya / spnm

C++ Library for Numerical Methods analysis

spnm - C++ Library for Numerical Methods analysis

Inspiration

The numerical methods subject in my univ course is a bit tedious such that mistakes in calculation is quite often to say the least. Using this library one can get step by step answer with proper rounding off. So comparison of answer is easy and mistakes are easy to follow.

Contents in this repo

1. The main library (single header file): spnm.hpp along with its dependencies inside dep/.
2. A cli demo: cli/.
3. A simple testing tool: test/.

Compiling

In each of the directories, simply run make release or make to compile with debug symbols.

Demo

CLI

• Q. Find a solution of $e^x - x - 2 = 0$ correct upto 4 significant digits in the interval [1, 2] using bisection method.

Ran using ./bin/spnm-cli 1 1 "e^x -x - 2" 1 2 2 4:

1       1       -       2       +       1.5     +
2       1       -       1.5     +       1.25    +
3       1       -       1.25    +       1.125   -
4       1.125   -       1.25    +       1.1875  +
5       1.125   -       1.1875  +       1.1562  +
6       1.125   -       1.1562  +       1.1406  -
7       1.1406  -       1.1562  +       1.1484  +
8       1.1406  -       1.1484  +       1.1445  -
9       1.1445  -       1.1484  +       1.1464  +
10      1.1445  -       1.1464  +       1.1454  -
11      1.1454  -       1.1464  +       1.1459  -

License

GPL-3.0-or-later