Mod 1 Homework: Basic Python In this assignment, we will make our own versions of some of the attributes (functions and variables) provided by the math module, then compare the two. Part 1 - CustomMath.py Let's make our own math module to import in hwl.py. We wil name this file Custommath.py - you need to create it yourself Do not use the built-in math module here - create everything from scratch. Attributes Create a file named CustomMath.py. Then add the following attributes: Variables pi - a variable containing the value 3.14 e-a variable containing the value 2.72 Functions sqrt(nu) If num is an int or float, returns the square root of num Otherwise, returns the string " is not a number". The curly braces denote that the value of nuin should be inserted in the string, e.g. with the str.Format(command. floor (num) If num is a float, returns the highest integer less than num If num is an int, returns the string "{} is the floor" Otherwise, returns the string ") is not a number". The curly braces denote that the value of num should be inserted in the string, e.g. with the str.format(command. ceil(num) o If num is a float, returns the lowest integer greater than num o If num is an int, returns the string "num () is the ceil" o Otherwise, returns the string " is not a number". The curly braces denote that the value of num should be inserted in the string, e.g. with the str. format command. Special Behavior Use an if name main block to differentiate between direct execution and import o when executed directly, print the string CustomMath is being executed directly $ python3 CustomMath.py CustomMath is being executed directly o when imported, print the string CustomMath has been imported >>> import CustomMath CustomMath has been imported >>> Examples Any examples below are intended to be illustrative, not exhaustive. Your code may have bugs even if it behaves as below. Write your own tests, and think carefully about edge cases, Import and variables >>> from CustomMath import * CustomMath has been imported >>> pi 3.14 >>> e 2.72 sqrt >>> sqrt(4) 2.0 >>> sqrt("hello") "hello is not a number' floor >>> floor(1.2) 1.0 >>> floor(-1.2) -2.0 >>> floor(1) '1 is the floor >>> floor([1,2,3]) '[1, 2, 3] is not a number ceil >>> ceil(1.2) 2.0 >>> ceil(-1.2) -1.6 >>> ceil(1) '1 is the ceil' >>> ceil("hello") 'hello is not a number! Part 2 - hw1.py We will compare the output of CustomMath.py to python's built in math module in hwl.py (you need to create this file yourself) Import math and customMath.py aliased as mth and cmth, respectively, in hw1.py. Write a function f_dif that returns the difference of two other functions. f_dif should take two functions as (required) parameters and an optional third parameter which specifies the argument to call those functions with. If no third parameter is specified, use a value of 0.0. f_dif) o two required parameters - functions one optional parameter - an argument to be passed to the functions. If this parameter is not specified, it should default to a value of 0.0. o returns the difference of the two input functions called with the argument specified Examples Any examples below are intended to be illustrative, not exhaustive. Your code may have bugs even if it behaves as below. Write your own tests, and think carefully about edge cases. >>> from hwi import * CustomMath has been imported >>> mth.pi 3.141592653589793 >>> cmth.pi 3.14 >>> mth.floor(mth.pi) 3 >>> cmth.floor(cmth.pi) 3. >>> mth.floor(cmth.pi) 3 >>> f_dif(mth.floor, cmth.floor) 2.0 >>> f_dif(mth.ceil, mth.floor, 3.14) 1 Submitting At a minimum, submit the following files: CustomMath.py hw1.py Students must submit to Mimir individually by the due date (typically, the Wednesday 10 days after this module opens at 11:59 pm EST) to receive credit. Grading 70 - CustomMath.py . . 10 - variables 10 - sqrt 10 - floor 10 - ceil 15 - print statement when executed 15 - print statement when imported . 30 - hw1.py 30 - all behavior Feedback If you have any feedback on this assignment, please leave it here. We check this feedback regularly. It has resulted in: A simplified, clear Submitting section on all assignments A simplified, clear Grading section on all assignments Clearer instructions on several assignments (particularly in the recursion module)
