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Zeller's Congruence Algorithm #1095

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136 changes: 136 additions & 0 deletions maths/zellers_congruence.py
Original file line number Diff line number Diff line change
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import argparse

def zeller(date_input):

"""
Zellers Congruence Algorithm
Find the day of the week for nearly any Gregorian or Julian calendar date

>>> zeller('01-31-2010')
Your date 01-31-2010, is a Sunday!

Validate out of range month
>>> zeller('13-31-2010')
Traceback (most recent call last):
...
ValueError: Month must be between 1 - 12
>>> zeller('.2-31-2010')
Traceback (most recent call last):
...
ValueError: invalid literal for int() with base 10: '.2'

Validate out of range date:
>>> zeller('01-33-2010')
Traceback (most recent call last):
...
ValueError: Date must be between 1 - 31
>>> zeller('01-.4-2010')
Traceback (most recent call last):
...
ValueError: invalid literal for int() with base 10: '.4'

Validate second seperator:
>>> zeller('01-31*2010')
Traceback (most recent call last):
...
ValueError: Date seperator must be '-' or '/'

Validate first seperator:
>>> zeller('01^31-2010')
Traceback (most recent call last):
...
ValueError: Date seperator must be '-' or '/'

Validate out of range year:
>>> zeller('01-31-8999')
Traceback (most recent call last):
...
ValueError: Year out of range. There has to be some sort of limit...right?

Test null input:
>>> zeller()
Traceback (most recent call last):
...
TypeError: zeller() missing 1 required positional argument: 'date_input'

Test length fo date_input:
>>> zeller('')
Traceback (most recent call last):
...
ValueError: Must be 10 characters long
>>> zeller('01-31-19082939')
Traceback (most recent call last):
...
ValueError: Must be 10 characters long
"""

# Days of the week for response
days = {
'0': 'Sunday',
'1': 'Monday',
'2': 'Tuesday',
'3': 'Wednesday',
'4': 'Thursday',
'5': 'Friday',
'6': 'Saturday'
}

# Validate
if len(date_input) >= 11 or len(date_input) <= 0:
raise ValueError("Must be 10 characters long")

# Get month
m = int(date_input[0] + date_input[1])
# Validate
if m >= 13 or m <= 0:
raise ValueError("Month must be between 1 - 12")

sep_1 = str(date_input[2])
# Validate
if sep_1 not in ["-","/"]:
raise ValueError("Date seperator must be '-' or '/'")

# Get day
d = int(date_input[3] + date_input[4])
# Validate
if d >= 32 or d <= 0:
raise ValueError("Date must be between 1 - 31")

# Seperator 2
sep_2 = str(date_input[5])
# Validate
if sep_2 not in ["-","/"]:
raise ValueError("Date seperator must be '-' or '/'")

# Get year
y = int(date_input[6] + date_input[7] + date_input[8] + date_input[9])
# Arbitrary year range
if y >= 8500 or y <= 45:
raise ValueError("Year out of range. There has to be some sort of limit...right?")

# Start math
if m <= 2:
y = y - 1
m = m + 12
c = int(str(y)[:2])
k = int(str(y)[2:])
t = int(2.6*m - 5.39)
u = int(c / 4)
v = int(k / 4)
x = d + k
z = t + u + v + x
w = z - (2 * c)
f = round(w%7)
# End math

for i in days:
if f == int(i):
print("Your date " + date_input + ", is a " + days[i] + "!")

if __name__ == '__main__':
import doctest
doctest.testmod()
parser = argparse.ArgumentParser(description='Find out what day of the week nearly any date is or was. Enter date as a string in the mm-dd-yyyy or mm/dd/yyyy format')
parser.add_argument('date_input', type=str, help='Date as a string (mm-dd-yyyy or mm/dd/yyyy)')
args = parser.parse_args()
zeller(args.date_input)