CS$120-$ Yoo Project $1$ Fall $2024$

DUE: $11$:$59$ P$.$M$.$ on September $22($Sunday$)$

PROJECT DESCRIPTION:

Implement your Math Function Library $($MathLibrary$.$py$)$ and a driver program Project$1.$py to test your

own math functions.

$$ MathLibrary.py includes following three math functions defined by you:

$(1)$ MySqrt $-$ def MySqrt $($x$)$:

To calculate square root of a positive number $($x$)$ using Newton$$s method $($see pseudocode below$)$:

guess $=$ x$/2$

newGuess $=$ guess $($guess$*$guess x$)/(2*$guess$)$

while abs$($guess $$ newGuess$)>0\mathrm{.}000001$

guess $=$ newGuess

newGuess $=$ guess $($guess$*$guess x$)/(2*$guess$)$

return newGuess

$(2)$ x$\_$to$\_$n $$ def x$\_$to$\_$n $($x$,$ n$)$

To compute x to the nth power $($i$.$e$.$ xn$).$ Two input parameters: a float value x and an integer n $($see

pseudocode below$)$:

if n $>0$

set product $=1$

for k in the range $1,2,3,...,$n

product $=$ product $*$ x

return product

if n $<0($recall that x$-$n is simply $1/$xn$)$

set product $=1$

for k in range n$,$ n$-1,...,-1$

product $=$ product $*1/$x

return product

$(3)$ MyLength $$ def MyLength $($x$1,$ y$1,$ x$2,$ y$2)$

To compute the distance between two points$($x$1,$y$1)$ and $($x$2,$y$2)$ using the Euclidean distance formula,

d$=$ sqrt$(($x$1-$x$2)2+($y$1-$y$2)2)$

$2$

$$ Project$1.$py includes menu$()$ function below and test codes by calling functions in

MathLibrary.py

import MathLibrary

def menu $()$:

print $()$

print $(1$: find the square root of the number: $)$

print $(2$: find the x to the nth power: $)$

print $(3$: find the length of line segment: $)$

print $(4$: QUIT$)$

choice $=$ int $($input $($Choose your option: $)$

return choice

choice $=$ menu $()$

# test the functions you defined in your Math library as below $($pseudocode$)$:

while choice is not $4$:

if choice is $1$

display the result of the square root of $30$

else if choice is $2$

display the result of $94$

else if choice is $3$

display the length of line between point $(1,1)$ and $(3,4)$

else if choice is $4$

break

else

print Invalid input. Try again.

GRADING:

Your program will be graded not only on meeting the stated requirements of the project, but also on

design quality and programming style. Program should be defect$-$free $($no error$).$ A late project may be

accepted with a penalty of $10\%$ per day.

Collaboration on project or copying from Internet is not allowed and is considered as cheating. You are

required to observe the University and Departmental policies on academic honesty. Any requests for

special consideration relating to late projects must be discussed with and approved by the instructor in

advance.

SUBMISSION:

The project submission should in a zip file format including the files:

$$ source code $($MathLibrary$.$py$,$ Project$1.$py$)$

$$ Snapshot of the output after running the test cases above

Use a name convention of $$CS$120\_$Project$1\_$yourLastName$($ex$.$ CS$120\_$Project$1\_$Yoo$)$