Program $5$

Quadratic Equation with File I$/$O and Formatted Output

You are to modify your Program $3$ to do$/$include the following:

$$ Read the coefficients of the quadratic, $3$ coefficients per line$($the coefficients will be separated by at least one space, possibly more$),$ from an input file whose name is specified by the user. You should check for the existence of the input file and terminate with an error message if the input file cannot be opened. Your program should continue processing sets of coefficients until the end of the input file is reached.

$$ Your program should output, to an output file whose name is specified by the user, $1$ line per set of coefficients processed. Your output lines should be formatted EXACTLY as shown in $$Attachment A$.$ Your program should ensure the output file was successfully opened before attempting to process any data.

$$ Your program should count how many sets of coefficients it processes and output that value to the user at the end of your program.

$$ Your script file should look similar to the script file shown in $$Attachment B$,$ of course including a "cat" of your program at the beginning.

$$ Run your program for the two data files as shown in $$Attachment B$.$ Include any other test cases which you think are needed.

You may find the following UNIX commands helpful in completing this assignment:

whoami pwd diff ATTACHMENT A

For a$=2\mathrm{.}000,$ b$=5\mathrm{.}000,$ c$=1\mathrm{.}000$: Two solutions for x: $-0\mathrm{.}219$ and $-2\mathrm{.}281$

For a$=2\mathrm{.}000,$ b$=4\mathrm{.}000,$ c$=2\mathrm{.}000$: One solution for x: $-1\mathrm{.}000$ For a$=5\mathrm{.}500,$ b$=8\mathrm{.}000,$ c$=2\mathrm{.}200$: Two solutions for x: $-0\mathrm{.}368$ and $-1\mathrm{.}086$

For a$=-2\mathrm{.}000,$ b$=5\mathrm{.}000,$ c$=-3\mathrm{.}000$: Two solutions for x: $1\mathrm{.}000$ and $1\mathrm{.}500$

For a$=1\mathrm{.}000,$ b$=2\mathrm{.}000,$ c$=3\mathrm{.}000$: Can not solve, b$^2-4$ac negative.

For a$=0\mathrm{.}000,$ b$=5\mathrm{.}000,$ c$=10\mathrm{.}000$: Not a quadratic equation if a $=0$

For a$=5\mathrm{.}000,$ b$=10\mathrm{.}000,$ c$=0\mathrm{.}000$: Two solutions for x: $0\mathrm{.}000$ and $-2\mathrm{.}000$

For a$=10\mathrm{.}000,$ b$=0\mathrm{.}000,$ c$=5\mathrm{.}000$: Can not solve, b$^2-4$ac negative.

ERROR: Input must have $3$ coefficients, line read had $2$ For a$=6\mathrm{.}457,$ b$=7\mathrm{.}735,$ c$=100\mathrm{.}787$: Can not solve, b$^2-4$ac negative. $$

ATTACHMENT B

user$01$@grace$ pgm$5.$py

Input the name of the file which has the coefficients of the quadratic equation $($a$,$ b$,$ and c$),$ one set per line:

$/$file~path$/$pgm$5.$short.input

Input the name of the output file you wish to create:

pgm$5.$short.output

This program is being executed by user$01$ from $/$home$/$user$01/$temp

Its input file is $/$file~path$/$pgm$5.$short.input

Its output file is pgm$5.$short.output

$10$ equations processed

user$01$@grace$ diff pgm$5.$short.output

$/$file~path$/$pgm$5.$short.output

user$01$@grace$ pgm$5.$py

Input the name of the file which has the coefficients of the quadratic equation $($a$,$ b$,$ and c$),$ one set per line:

$/$file~path$/$pgm$5.$long.input

Input the name of the output file you wish to create:

pgm$5.$long.output

This program is being executed by user$01$ from $/$home$/$user$01/$temp

Its input file is $/$file~path$/$pgm$5.$long.input

Its output file is pgm$5.$long.output

$200$ equations processed

# Description: This program$3$ solves a second$-$order polynomial using the quadratic equation.

import math

def quad$\_$solver$($a$,$ b$,$ c$)$:

# Solves a quadratic equation and prints the solutions.

# Check if a is zero

if a $==0$:

print$("$The coefficient a cannot be zero."$)$

return # Exit the function gracefully

# Calculate the discriminant

discriminant $=$ b$**2-4*$a$*$c

# Handle different cases based on the discriminant

if discriminant $<mtext\; id="EditorElement\_1424359"></mtext><mn\; id="EditorElement\_1424360">0</mn>$:

print$("$The quadratic equation has no real solutions."$)$

elif discriminant $==0$:

# Calculate the single solution

root $=-$b $/(2*$a$)$

print$("$The quadratic equation has one solution:"$)$

print$($f$"$x $=\{$root$\}")$

else:

# Calculate the two solutions

root$1=(-$b $+$ math.sqrt$($discriminant$))/(2*$a$)$

root$2=(-$b $-$ math.sqrt$($discriminant$))/(2*$a$)$

print$("$The possible values for x are:"$)$

print$($f$"\{$root$1\}")$

print$($f$"\{$root$2\}")$

# Main program loop

while True:

try:

a$,$ b$,$ c $=$ map$($float$,$ input$("$Enter the coefficients of the quadratic equation $($a$,$ b$,$ c$)$ separated by commas: $").$split$(","))$

except ValueError:

print$("$Invalid input. Please enter three numerical values separated by commas."$)$

continue # Restart the loop if there's an input error

quad$\_$solver$($a$,$ b$,$ c$)$ # Call the solver function