Class 27 — Friday March 27

Tasty problem solving

To be, not to be — That is the question we ask – The answer, to be

---

Look both ways

• Back or ahead

---

Agenda

• Being functional

---

Buddying

• Form

• Spreadsheet

---

Problem set — Homework 24

• Module beanery.py defines three functions volume(), count(), and guess() related to jelly beans.

• The actual module file beanery.py will be available at the start of class.

• None of your functions should get input or print output.

• Tester program yum.py performs some basic testing of beanery.py.

---

To do

• Preview next class activities.

• Try CodingBat – it’s batting practice for writing functions.

• Take another look at function epistle.

• Take another look at today's lesson.

• Preview next class activities activities

• Take another look at the Hands on Python Tutorial.

---

Set up

• Extra credit awarded for buddying with someone

• The only apps to be running on your laptops are a browser and PyCharm. The browser usage should be limited to CS 1112 materials.

• You must use my beanery.py for this assignment.

• Do not access any past or outside code while working on this assignment.

• Review problem set description.

• Close all other program and module tabs.

---

Module beanery.py

• Function volume( a, b )

• Returns the volume of jelly bean with length a and height b. Based upon hours of research, zillions of jelly beans, and a bunch of mason jars, it has been concluded that the volume of a jelly bean can be roughly modeled as the average of the volume of the exterior bounding cylinder and of the volume of the interior bounding ellipsoid. Our formula for the volume s of a single jelly bean is:

To make your calculation as accurate as possible, use Python's math module constant to estimate of π when needed.

• A run of of the tester should produce output

volume( 1.3 , 0.7 ): 0.41691552507014545

volume( 2.0 , 1.0 ): 1.3089969389957472

---

• Function count( s, j, f )

• Returns the number of beans of volume s that can fit a jar with volume j given the loading capacity is f.

• The count formula for the volume j of a single jelly bean is: ⌊ j × f / s ⌋ ; where the ⌊ ⌋ operators are the mathematical symbols for rounding down to the nearest integer.

• A run of of the tester should produce output

count( 0.42 , 125 , 0.7 ): 208

count( 1.31 , 500 , 0.6 ): 229

• Questions

• What built-in function converts a decimal to an integer?

• Should function volume() be helpful?

---

• Function guess( a, b, j )

• Returns the number of number jelly beans with length a and height b that can fit in a jar with volume j. Exhaustive research has determined the jelly bear jar loading factor is typically 69.8% (i.e., .698).

• A run of of the tester should produce output

guess( 1.3 , 0.7 , 125 ): 209

guess( 2.0 , 1.0 , 500 ): 266

guess( 1.52 , 0.9 , 1550 ): 1342

• Questions

• Should function volume() be helpful?

• Should function count() be helpful?

---

 

---

 

© 2020 Jim Cohoon

Resources from previous semesters are available.