# Date Magic

Routines for performing computations on dates. In these routines, months are exprsesed as integers from 1 to 12, days are expressed as integers from 1 to 31, and years are expressed as 4-digit integers.

```string dayOfWeek[] = {"Mo", "Tu", "We", "Th", "Fr", "Sa", "Su"};

// converts Gregorian date to integer (Julian day number)

int DateToInt (int m, int d, int y){
return
1461 * (y + 4800 + (m - 14) / 12) / 4 +
367 * (m - 2 - (m - 14) / 12 * 12) / 12 -
3 * ((y + 4900 + (m - 14) / 12) / 100) / 4 +
d - 32075;
}

// converts integer (Julian day number) to Gregorian date: month/day/year

void IntToDate (int jd, int &m, int &d, int &y){
int x, n, i, j;

x = jd + 68569;
n = 4 * x / 146097;
x -= (146097 * n + 3) / 4;
i = (4000 * (x + 1)) / 1461001;
x -= 1461 * i / 4 - 31;
j = 80 * x / 2447;
d = x - 2447 * j / 80;
x = j / 11;
m = j + 2 - 12 * x;
y = 100 * (n - 49) + i + x;
}

// converts integer (Julian day number) to day of week

string IntToDay (int jd){
return dayOfWeek[jd % 7];
}
```