Counting series functions is intersting problem for IT. Common problem for this algorithm is optimization. This program realise 3 series functions: power function, arctg, arsinh. This functions used in physics, math and some of IT areas.

Task: counting infinity series with fixed approximation. All functions must work with rational numbers. Written in c std99. Program not using math.h library.

Using Newtone's method.

Used to get fixed approximation:

gcc -std=c99 -pedantic -Wall -Wextra main.c -o ./iterations

or just

make

print all parameters:

./iterations --help 

also use this parameters:

-h				print help
--help
--powxa			count exponntial function
--arctg			count arctangens function
--argsinh		count argument of sinus hyperbolic function
[0...]			signification digits
[real number]	exponetial function parameter

example:

 ./iterations --powxa 7 2.45

program will count exponential function x^2.45 with 7 digits of approximation

Input is stdin line.

Note: Program using 20 digit constant for e and pi. Currently 20 digits is maximum, but add this contants series counting is to-do.