Least Square Method Calculation

table of contents:

• How to clone
• Dependencies
• How to use
  • Use as an library
  • Use as a program
  • Input files format
  • Output format
• Feedback

How to clone

To clone this repository run:

git clone https://github.com/ajlekcahdp4/LSM.git
cd LSM

Dependencies

1) gnuplot:

You can install gnuplot by apt / apt-get:

sudo apt install gnuplot

Or by pacman (On Arch and Manjaro linux):

sudo pacman -S gnuplot

• If you face some problem with libQt5Core.so.5 use this reccomendations.

2) cmake

You can install cmake by apt / apt-get:

sudo apt install cmake

Or by pacman (On Arch and Manjaro linux):

sudo pacman -S cmake

How to use

Use as a library

In development...

You can also use this library as a complete program for least squares method calculation and graph plotting

Using my main file. In this case:

To compile this program run:

cmake .
make

And then to run it use:

./calc

The program will ask you about type of aproximation (managed linear, exponential and any-degrees polinomial), input file name, output file name, abscissa axis label, ordinate axis label and degree of the polinom (in polinomial approximation case)

Input files format

You have to write measured points in a file this way:

1. The decimal separator should be a dot, not a comma.
2. Write abscissa and ordinate values in columns like this

Points near y = x^3 line (for example)

• In this example was used this points:

Point number	X	Y
1	1.0	1.2
2	2.0	9.0
3	3.0	26.0
4	4.0	67.0
5	5.0	116.0

output format

After the program is completed, information about the calculation performed using the least squares method will be written to the file that you specified as output.

• If the file did not exist, it will be created

The output file will look like this:

• example of the output file for polinomial approximation:

• example of the output file for linear approximation:

• example of the output file for exponential approximation:

And also you will get the graph of your approximation:

• example of the polinomial graph:

• example of the exponential graph:

• example of the linear graph:

• My program also can managed hight-levels polinoms. In the example down below I approximate this points:

X	Y
1.0	2.0
2.0	2.0
3.0	3.0
4.0	5.0
5.0	5.0
6.0	6.0
7.0	8.0
8.0	9.0
9.0	10.0
10.0	12.0
11.0	10.0
12.0	12.0
13.0	12.0
14.0	14.0
15.0	17.0
16.0	16.0
17.0	18.0
18.0	17.0
19.0	19.0
20.0	19.0

with the 8-degree polinom.

Feedback

• If you faced some bugs with this program - please, create a bug report in the issues and I'll try to help you.

• If you have an idea how to improve this project - please, write it in issue or fork this repository, write code and create pull request.

If you found my program interesting or usefull please Give me a star 🌟