Imagine our team require you to write a macro function to apply brake on the

signals.

Find a simple function $f$ and write a macro function for it in C language that has

three arguments: float input, float output, float deadline

Submit your code and explain why you want to choose that specific function.

Known conditions:

deadline $>0$

Requirements:

$1.$ for all input values in range of $-$deadline to deadline inclusive, abs$($input abs$($output$)$

$2.$ for all input values in range of $-$deadline to deadline inclusive, sign$($input$)=$ sign$($output$)$

$3.$ f$\text{'}($input$=$deadline$)=1=$ f$\text{'}($input $=-$deadline$)$

$4.$ f$($input$=$deadline$)=$ deadline

$5.$ f$($input$=-$deadline$)=-$deadline

$6.$ f is continuous