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Question: Provide a Python script which will calculate the Biorhythms for an individual and present the data graphically using libraries and a common algorithm.

Biorhythm

Biorhythm is an application to predict the life style activities of a person using simple mathematical calculations. During his/her life time, a person has different activities which are related to physical, mental and emotions of a person. These values can be predicted using simple mathematical logics from user's date of birth and target date. The mathematical formulas which are used for predicting physical, emotional and Intellectual skills of an individual are given below.

a. Physical = sin(2πt/23)

b. emotional = sin(2πt /28)

c. Intellectual skills = sin(2πt /33)

Where t is the number of day difference between the date of birth and Target date

Learning Outcomes

The following course learning outcomes are assessed by completing this assessment:

K1. Identify and use the correct syntax of a common programming language.

K2. Recall and use typical programming constructs to design and implement simple software solutions.

K3. Reproduce and adapt commonly used basic algorithms.

K4. Explain the importance of programming style concepts (documentation, mnemonic names, indentation)

S2. Write and implement a solution algorithm using basic programming constructs.

S3. Demonstrate debugging and testing skills whilst writing code.

A1. Develop self-reliance and judgement in adapting algorithms to diverse contexts.

A2. Design and write program solutions to identified problems using accepted design constructs.

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Pseudo code:

1. Start the program

2. Import numpy, datetime and matplotlib.pyplot modules

3. Read date of birth of an individual from user

4. Read target date from user

5. Calculate the difference between Date of birth and target date in days using datetime module

6. Calculate Physical skill of the individual using sin(2πt/23) formula. Store the result in a list for different t values

7. Calculate Emotional skill of the individual using sin(2πt/28) formula. Store the result in a list for different t values

8. Calculate intellectual skill of the individual using sin(2πt/33) formula. Store the result in a list for different t values

9. Plot a curve for Physical skill using the list of values calculated in step-6.

10. Plot a curve for Emotional skill using the list of values calculated in step-7.

11. Plot a curve for intellectual skill using the list of values calculated in step-8.

12. Add title for the graph using title method from matplotlib.pyplot module

13. Display the graph using show() method from matplotlib.pyplot module

14. Stop the program

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Program Code:
#importing required builtin modules

import datetime as dt
from numpy import *
import matplotlib.pyplot as plt

#reading Date of birth from user
d,m,y=map(int,input("enter your Date of Birth : (DD-MM-YYYY)").strip().split("-"))
dob=dt.date(y,m,d)

d,m,y=list(map(int,input("enter your Target date : (DD-MM-YYYY)").strip().split("-")))
target=dt.date(y,m,d)

difference=(target-dob).days
rangeofDays=[]
for i in range(difference-10,difference+10):
rangeofDays.append(i)

physicalline=[]
emotionalline=[]
intellectualline=[]
for i in rangeofDays:
#calculating physical values
physicalline.append(100*sin(2*3.14*i/23))
#calculating emotional values
emotionalline.append(100*sin(2*3.14*i/28))
#calculating intellectual values
intellectualline.append(100*sin(2*3.14*i/33))
#Calculating values for x-axis
xaxis=[dt.date.fromordinal(i) for i in rangeofDays ]

#ploting curve for physical values
plt.plot(xaxis,physicalline)
#ploting curve for emotional values
plt.plot(xaxis,emotionalline)
#ploting curve for intellectual values
plt.plot(xaxis,intellectualline)

#displaying legend for the graph
plt.legend([' Physical', 'Emotional','Intellectual'])
#displaying title for the graph
plt.title('My BioRhythms graph')
#making graph visible on the screen
plt.show()

Conclusion:
Biorhythm is a model for predicting different biological skills of an individual. By doing this experiment, I understood that how to calculate different skill of a person such are physical, emotional and intellectual from the date of birth of the person. Also I understood how to plot sin curves in python graph. I used matplotlib.pyplot module to plot curves and datetime module for manipulating dates.

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