Polynomial Root$-$Finding Numerical Method Implementation using multiple source code and header files

Instructions:

You are to create a project that uses the secant method to solve for the roots of a polynomial equation:

$\backslash [$

f$($x$)=$a$+$b x$+$c x$^\{2\}+$d x$^\{3\}+$e x$^\{4\}+$f x$^\{5\}=0$

$\backslash ]$

The main program will ask the user to specify the values of $\backslash ($ a$,$ b$,$ c$,$ d$,$ e $\backslash )$ and $\backslash ($ f $\backslash ).$ The program will respond by finding all the roots for the polynomial equation using the secant method. The source code files that need to be written for this program are:

project$1.$c

secant.h

secant.c

myfunc.h

myfunc.c

The "secant.h$"$ file is the header file for "secant.c$".$ The "secant.c$"$ file will contain the source code for a function secant$()$ that calculates the secant method steps to locate a solution $($a root$)$ for the polynomial function defined in myfunc$().$ The myfunc$()$ function will be defined in the "myfunc.c$"$ file with its accompanying header file "myfunc.h$".$ Note that the coefficients for this polynomial function are entered in "project$1.$c$"$ and must be passed through to the "myfunc.c$"$ file.

The "project$1.$c$"$ file will contain the main$()$ function that will be used to run your project. This function $($and file$)$ will handle the input from the user, as well as the display of results back to the user. These results include an initial table of $\backslash ($ x $\backslash )$ and $\backslash ($ y $\backslash )$ values within the given range of $\backslash ($ x $\backslash )-$values, but it should also flag any sign changes in the table $($for $\backslash ($ y $\backslash )-$values$).$ If a sign change is identified, the secant$()$ function must be called in order to locate the root.

The secant$()$ function should have $8$ parameters, two for the guesses and the other six for the values for $\backslash ($ a$,$ b$,$ c$,$ d$,$ e $\backslash )$ and $\backslash ($ f $\backslash ).$ The secant$()$ function should return the estimate for the answer. The myfunc$()$ function should have $7$ parameters, one for the value of $\backslash ($ x $\backslash )$ and the other six for the values $\backslash ($ a$,$ b$,$ c$,$ d$,$ e $\backslash )$ and f $.$ The myfunc$()$ function should just return the value of the function evaluated at $\backslash ($ x $\backslash ).$

Variables List $($starting point$)$:

xmin $-$ double $-$ starting value for table $($input by user$)$

xmax $-$ double $-$ ending value for table $($input by user$)$

steps $-$ integer $-$ number of intervals into which we need to break the range of $\backslash ($ x $\backslash )-$values $($user input$)$

xincr $-$ double $-$ increment between $\backslash ($ x $\backslash )$ values in table, from one row to the next $($calculated$)$

x$0-$ double $-$ first value for secant algorithm

x$1-$ double $-$ second value for secant algorithm

xnew $-$ double $-$ new$/$calculated value using secant algorithm equation.

Please extend this list as necessary... $($it is graded$)$