Please complete the following program$($s$)$ in C CODING LANGUAGE $($NOT C$++),$ also please specify which code goes in the colorsUtil.h file vs colorUtils.c:

In this hack you'll get some more practice writing functions that utilize pass$-$by$-$reference

$($pointers$),$ error handling and enumerated types. There are several different ways to

model colors including RGB and CMYK$.$ RGB is generally used in displays and models

a color with three values in the range $0,255$ corresponding to the red, green and blue

"contribution" to the color. For example, the triple $(255,255,0)$ corresponds to a full

red and green $($additive$)$ value which results in yellow. CMYK or Cyan$-$Magenta$-$Yellow$-$

Black is a model used in printing where four colors of ink are combined to make various

colors. In this system, the four values are on the scale $0,1.$ Write functions to convert

between these models.

Write a function to convert from an RGB color model to CMYK$.$ To convert to

CMYK$,$ you first need to scale each integer value to the range $0,1$ by simply

computing

$r^{\text{'}}=\frac{r}{255},g^{\text{'}}=\frac{g}{255},b^{\text{'}}=\frac{b}{255}$

and then using the following formulas:

$k=1-$max$\{r^{\text{'}},g^{\text{'}},b^{\text{'}}\}$

$c=\frac{(1-r^{\text{'}}-k)}{(1-k)}$

$m=\frac{(1-g^{\text{'}}-k)}{(1-k)}$

$y=\frac{(1-b^{\text{'}}-k)}{(1-k)}$

Your function should have the following signature:

int rgbToCMYK$($int r$,$ int g$,$ int b$,$ double $**$ c$,$ double $**m,$ double $**y,$ double $**k)$

Identify any and all error conditions and use the return value to indicate an error

code $(0$ for no error, non$-$zero value$($s$)$ for error conditions$).$ Note that one edge

case is black, when $(r,g,b)=(0,0,0)$ which would lead to a division by zero in the

formulas. The equivalent CMYK values are $(0,0,0,1).$

Write a function to convert from CMYK to RGB using the following formulas.

$r=255*(1-c)*(1-k)$

$g=255*(1-m)*(1-k)$

$b=255*(1-y)*(1-k)$

Results should be rounded. Your function should have the following signature:

int cmykToRGB$($double c $,$ double m $,$ double y $,$ double k $,$ int $**r,$ int $**g,$ int $**b)$

Identify any and all error conditions and use the return value to indicate an error

code $(0$ for no error, non$-$zero value$($s$)$ for error conditions$).$

Place your prototypes and documentation in a header file named colorUtils.h

and your source in a file named colorUtils.c$.$Place your prototypes and documentation in a header file named colorUtils.h

and your source in a file named colorUtils.c$.$