Calculate date from week number

Question

Anyone know an easy way to get the date of the first day in the week (monday here in Europe). I know the year and the week number? I'm going to do this in C#.

Answer 1

I tried some codes above and some have small mistakes, when you try different years with different starting days of week you will see them, I took the code of Jon Skeet, fix it and it works, very simple code.

Public Function YearWeekDayToDateTime(ByVal year As Integer, ByVal weekDay As Integer, ByVal week As Integer) As DateTime
   ' weekDay, day you want
    Dim startOfYear As New DateTime(year, 1, 1)
    Dim startOfYearFixDay As Integer

    If startOfYear.DayOfWeek <> DayOfWeek.Sunday Then
        startOfYearFixDay = startOfYear.DayOfWeek
    Else
        startOfYearFixDay = 7
    End If

    Return startOfYear.AddDays((7 * (week)) - startOfYearFixDay + weekDay)
End Function

Answer 2

Week 1 is defined as being the week that starts on a Monday and contains the first Thursday of the year.

Answer 3

I like the solution provided by Henk Holterman. But to be a little more culture independent, you have to get the first day of the week for the current culture ( it's not always monday ):

using System.Globalization;

static DateTime FirstDateOfWeek(int year, int weekOfYear)
{
  DateTime jan1 = new DateTime(year, 1, 1);

  int daysOffset = (int)CultureInfo.CurrentCulture.DateTimeFormat.FirstDayOfWeek - (int)jan1.DayOfWeek;

  DateTime firstMonday = jan1.AddDays(daysOffset);

  int firstWeek = CultureInfo.CurrentCulture.Calendar.GetWeekOfYear(jan1, CultureInfo.CurrentCulture.DateTimeFormat.CalendarWeekRule, CultureInfo.CurrentCulture.DateTimeFormat.FirstDayOfWeek);

  if (firstWeek <= 1)
  {
    weekOfYear -= 1;
  }

  return firstMonday.AddDays(weekOfYear * 7);
}

Answer 4

This one worked for me, it also have the advantage of expecting a cultureinfo as parameter to test the formula with different cultures. If empty, it gets the current culture info... valid values are like: "it", "en-us", "fr", ... ando so on. The trick is to subtract the week number of the first day of the year, that may be 1 to indicate that the first day is within the first week. Hope this helps.

Public Shared Function FirstDayOfWeek(ByVal year As Integer, ByVal weekNumber As Integer, ByVal culture As String) As Date
    Dim cInfo As System.Globalization.CultureInfo
    If culture = "" Then
        cInfo = System.Globalization.CultureInfo.CurrentCulture
    Else
        cInfo = System.Globalization.CultureInfo.CreateSpecificCulture(culture)
    End If
    Dim calendar As System.Globalization.Calendar = cInfo.Calendar
    Dim firstOfYear As DateTime = New DateTime(year, 1, 1, calendar)
    Dim firstDayWeek As Integer = calendar.GetWeekOfYear(firstOfYear, cInfo.DateTimeFormat.CalendarWeekRule, cInfo.DateTimeFormat.FirstDayOfWeek)
    weekNumber -= firstDayWeek
    Dim targetDay As DateTime = calendar.AddWeeks(firstOfYear, weekNumber)
    Dim fDayOfWeek As DayOfWeek = cInfo.DateTimeFormat.FirstDayOfWeek

    While (targetDay.DayOfWeek <> fDayOfWeek)
        targetDay = targetDay.AddDays(-1)
    End While
    Return targetDay
End Function

Answer 5

Personally I'd take advantage of the culture info to get the day of the week and loop down to the culture's first day of the week. I'm not sure if I'm explaining it properly, here's an example:

    public DateTime GetFirstDayOfWeek(int year, int weekNumber)
    {
        return GetFirstDayOfWeek(year, weekNumber, Application.CurrentCulture);
    }

    public DateTime GetFirstDayOfWeek(int year, int weekNumber,
        System.Globalization.CultureInfo culture)
    {
        System.Globalization.Calendar calendar = culture.Calendar;
        DateTime firstOfYear = new DateTime(year, 1, 1, calendar);
        DateTime targetDay = calendar.AddWeeks(firstOfYear, weekNumber);
        DayOfWeek firstDayOfWeek = culture.DateTimeFormat.FirstDayOfWeek;

        while (targetDay.DayOfWeek != firstDayOfWeek)
        {
            targetDay = targetDay.AddDays(-1);
        }

        return targetDay;
    }

Answer 6

I have made a refined version of the proposed solution that is a simpler and parametrises the firstDayOfWeek:

public static DateTime GetFirstDayOfWeek(int year, int week, DayOfWeek firstDayOfWeek)
{
    return GetWeek1Day1(year, firstDayOfWeek).AddDays(7 * (week - 1));
}

public static DateTime GetWeek1Day1(int year, DayOfWeek firstDayOfWeek)
{
    DateTime date = new DateTime(year, 1, 1);

    // Move towards firstDayOfWeek
    date = date.AddDays(firstDayOfWeek - date.DayOfWeek);

    // Either 1 or 52 or 53
    int weekOfYear = CultureInfo.CurrentCulture.Calendar.GetWeekOfYear(date, CalendarWeekRule.FirstFullWeek, firstDayOfWeek);

    // Move forwards 1 week if week is 52 or 53
    date = date.AddDays(7 * System.Math.Sign(weekOfYear - 1));

    return date;
}