Write a program in C that gets a function from the user as string and calculates the value of the function for a value entered by user. Program must be able to calculate combinations of polynomial, exponential, trigonometric, logarithmic, inverse trigonometric.

For example:

$-$input string from the user: sin$($x$*$e$^(5$x$))$ means sine $($x times e to the $5$x$)$

$-$input string from the user: x$^($sin$($log$\_5($x$3))$ means x to the sine $($log base $5$ x to the $3)$

$-$input string from the user: log$\_$x$($sin$(5$x$^2+$ sin$5$x$))$ means logarithm base x $($sine $(5$x to the $2+$ sin$5$x$)$

$^$ can be used as the exponent operator and $\_$ as the base operator.