A formula, called Zeller\'s Congruence, may be used o the day of the week, given

Question

A formula, called Zeller's Congruence, may be used o the day of the week, given the date (within a certain rang dates). The formula Is given below: f = 1 + ([2.6 - 0.2] + k + y + [y/4] + [c/4] - 2 c) modulo 7 where the square brackets denote the integer part, modulo 7 means the remainder when divided by 7, and m = the month number, with January and February taken as months 11, 12 of the preceding year, so March is then month 1, and December month 10; k = the day of the month; c = the century number; y = the year in the century; f = 1 means Sunday, 2 means Monday, etc For example, 23^rd August 1963 Is represented by m=6, k=23, c=19, y=63; 1^st January 1800 is represented by m=11, k=1, c=17, y=99. Write a function dayofweek(d) which takes the date in the form of a vector d=[dd mm yyyy] (e.g. [9 3 2001] for March 9, 2001 and returns the day of the week (in words) on which it falls. Test your program on some known dates, like today's date, or your birthday.

Explanation / Answer

function day = dayofweek(d)
m = d(2);
y = mod(d(3),100);
c = floor(d(3)/100);
k = d(1);
f = floor(2.6*m-0.2)+k+y+floor(y/4)+floor(c/4)-2*c;
f = mod(f,7)+1;
if(f==1)
day = "Sunday";
end
if(f==2)
day = "Monday";
end
if(f==3)
day = "Tuesday";
end
if(f==4)
day = "Wednesday";
end
if(f==5)
day = "Thursday";
end
if(f==6)
day = "Friday";
end
if(f==7)
day = "Saturday";
end
end
dayofweek([23 6 1963])

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