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Calculate the date of fifth tuesday of the month?

Posted on 2011-03-23
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Last Modified: 2012-06-21
Any suggestions how to calculate fifth tuestay of the month...
There is of course several  methods, but what is the simplest way?
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Question by:ejla51
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25 Comments
 
LVL 32

Expert Comment

by:ewangoya
ID: 35199647
try
function FifthTuesday(ADate: TDateTime): TDateTime;
var
  Lastday: TDateTime;
  DOW: Word;
begin
  Result := 0;
  Lastday := EndOfTheMonth(ADate);
  DOW := DayOfTheWeek(Lastday);
  if WeekOfTheMonth(LastDay) = 5 then
  begin
    if DOW = 2 then
      Result := LastDay
    else if DOW > 2 then
    begin
      while DOW > 2 do
      begin
        LastDay := IncDay(LastDay, -1);
        DOW := DayOfTheWeek(Lastday);
      end;
      Result := LastDay;
    end;
  end;
end;

procedure TForm1.Button1Click(Sender: TObject);
begin
  ShowMessage(DatetimetoStr(FifthTuesday(Date))) //for this month
end;

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LVL 24

Expert Comment

by:jimyX
ID: 35199898
Here is a function to get the date of and day as per any specified number:
function FindDate(Dt:TDate;Dy:String;Num:Integer):TDate;
var
  i,j:integer;
  ddte:TDate;
  Dte : String;
begin
  j:=0;
  for i:= 1 to DaysInMonth(MonthOf(dt)) do
    begin
      ddte := EncodeDate(YearOf(dt),MonthOf(dt),i);
      Dte := FormatDateTime('ddd',ddte);
      if Dte = Dy then
        begin
          inc(j);
          if j = Num then
            begin
              Result := ddte;
              exit;
            end;
        end;
    end;
  if J < Num then
    Result := StrToDate('01/01/1700');
end;

procedure TForm1.Button2Click(Sender: TObject);
begin
  If Datetostr(FindDate(now,'Tue',5)) = StrToDate('01/01/1700') then
    Showmessage('There is no date for that number in this month')
  else
    Showmessage(DateToStr(Datetostr(FindDate(now,'Tue',5))));
end;

procedure TForm1.FormCreate(Sender: TObject);
begin
  ShortDateFormat := 'dd/mm/yyyy';
end;

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It can be improved more, this is to show the idea only.
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LVL 45

Expert Comment

by:aikimark
ID: 35201984
@ejla51

What do you need to do if there is NO fifth Tuesday in the month?
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LVL 24

Expert Comment

by:jimyX
ID: 35201989
small fix in my code:
function FindDate(Dt:TDate;Dy:String;Num:Integer):TDate;
var
  i,j:integer;
  ddte:TDate;
  Dte : String;
begin
  Result := StrToDate('01/01/1700');
  j:=0;
  for i:= 1 to DaysInMonth(MonthOf(dt)) do
    begin
      ddte := EncodeDate(YearOf(dt),MonthOf(dt),i);
      Dte := FormatDateTime('ddd',ddte);
      if Dte = Dy then
        begin
          inc(j);
          if j = Num then
            begin
              Result := ddte;
              exit;
            end;
        end;
    end;
  if J < Num then
    Result := StrToDate('01/01/1700');
end;

procedure TForm1.Button2Click(Sender: TObject);
var
  Dt:TDate;
begin
  Dt := FindDate(now,'Tue',5);  // or FindDate(now,'Thu',5);
  If Dt = StrToDate('01/01/1700') then
    Showmessage('There is no date for that number in this month')
  else
    Showmessage(Datetostr(Dt));
end;

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0
 

Author Comment

by:ejla51
ID: 35202279
Hi fellows,
Have tested both without succes... I think partly due to national settings (short daynames?/FormatDateTime?)...

ewangoya... please notice that only 5th tuesaday is intrested, not last if there is only 4  tuesdays in the month.

jimyX: My testresult- if there is 5 tuesdays in the month, date was not found, if only 4 tuesdays "Invalid argument to date encode"

aikimark: Usage "Custom calendar" - eg. get dates to  TStringList (5th tuesday dates only) when year is selected with the SpinEdit!
0
 
LVL 24

Expert Comment

by:jimyX
ID: 35202351
Can you show the date that you tested this function with please? and also did you set the short date format?
0
 
LVL 32

Expert Comment

by:ewangoya
ID: 35202360

First you need to check how if the first day of the week is Monday or Sunday in your LOCALE
If Sunday, then DOW should be 3
Modify my function to
function FifthTuesday(ADate: TDateTime): TDateTime;
var
  Lastday: TDateTime;
  DOW: Word;
begin
  Result := 0;
  Lastday := EndOfTheMonth(ADate);
  DOW := DayOfTheWeek(Lastday);
  if WeekOfTheMonth(LastDay) = 5 then
  begin
    if DOW = 2 then
      Result := LastDay
    else if DOW > 2 then
    begin
      while (WeekOfTheMonth(LastDay) = 5) and (DOW > 2) do
      begin
        LastDay := IncDay(LastDay, -1);
        DOW := DayOfTheWeek(Lastday);
      end;
      if DOW = 2 then
         Result := LastDay;
    end;
  end;
end;

procedure TForm1.Button1Click(Sender: TObject);
begin
  ShowMessage(DatetimetoStr(FifthTuesday(Date))) //for this month
end;

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0
 
LVL 32

Expert Comment

by:ewangoya
ID: 35202432
Forget the LOCALE, in Delphi way Monday is always 1 so Tuesday is 2.
My function here should work properly with the extra check

function FifthTuesday(ADate: TDateTime): TDateTime;
var
  Lastday: TDateTime;
  DOW: Word;
begin
  Result := 0;
  Lastday := EndOfTheMonth(ADate);
  DOW := DayOfTheWeek(Lastday);
  if WeekOfTheMonth(LastDay) = 5 then
  begin
    if DOW = 2 then
      Result := LastDay
    else if DOW > 2 then
    begin
      while (WeekOfTheMonth(LastDay) = 5) and (DOW > 2) do
      begin
        LastDay := IncDay(LastDay, -1);
        DOW := DayOfTheWeek(Lastday);
      end;
      if DOW = 2 then
         Result := LastDay;
    end;
  end;
end;
0
 

Author Comment

by:ejla51
ID: 35202800
ewangoya:
I'm using Swedish National settings.
ShortDate 2011-03-23
--
procedure TForm1.Button1Click(Sender: TObject);
begin
 ShowMessage(DateToStr(FifthTuesday(MonthCalendar1.Date)));
end;

testresults for year 2011:
Mars -> 2011-03-29 Correct!
April  -> 1899-12-30 (Not found) OK
May  ->  1899-12-30 but would be 2011-05-31
June -> 2011-06-28  This is 4th tuesday
July  -> 1899-12-30 (not found) OK
Aug -> 1899-12-30 but would be 2011-08-30
Sept -> 2011-09-27 This 4th tuesday
Oct -> 1899-12-30 (not found) OK
Nov ->1899-12-30  but would be  2011-11-29
Dec  -> 2011-12-27 is 4th tuesday

0
 

Author Comment

by:ejla51
ID: 35202914
@jimyX:
My computer don't allow to set "ShortDateFormat  := 'dd/mm/yyyy'
ERead Error with message "Error reading Form1.Create : Invalid property value"  

My XP uses Swedish settings yyy-mm-dd

Have tested with native settings but date is not found.
0
 
LVL 24

Expert Comment

by:jimyX
ID: 35202928
Here is an updated one, can you check it please:
function FindDate(Dt:TDate;Dy,Num:Integer):TDate;
var
  i,j:integer;
  ddte:TDate;
  Dte : String;
begin
  Result := EncodeDate(1700,1,1);
  j:=0;
  for i:= 1 to DaysInMonth(MonthOf(dt)) do
    begin
      ddte := EncodeDate(YearOf(dt),MonthOf(dt),i);
      if DayOfWeek(ddte) = Dy then
        begin
          inc(j);
          if j = Num then
            begin
              Result := ddte;
              exit;
            end;
        end;
    end;
  if J < Num then
    Result := EncodeDate(1700,1,1);
end;

procedure TForm1.Button2Click(Sender: TObject);
var
  Dt:TDate;
begin
  Dt := FindDate(now,3,5);
  If Dt = EncodeDate(1700,1,1) then
    Showmessage('There is no date for that number in this month')
  else
    Showmessage(Datetostr(Dt));
end;

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0
 

Author Comment

by:ejla51
ID: 35203032
@jimyX:
you are very close now :)
Error occured (Invalid argument to date encode) IF there is only 4 tuesdays AND less than 31 days in the month!
All 5th tuesdays are found. Correct result  handling on 31 days months with 4 tuesdays.
0
 
LVL 45

Expert Comment

by:aikimark
ID: 35203037
@ejla51

So you want to pass a year value to a function and get all the 5th Tuesday dates in that year?
0
 
LVL 24

Accepted Solution

by:
jimyX earned 250 total points
ID: 35203093
Fixed:
function FindDate(Dt:TDate;Dy,Num:Integer):TDate;
var
  i,j:integer;
  ddte:TDate;
begin
  Result := EncodeDate(1700,1,1);
  j:=0;
  for i:= 1 to DaysInAMonth(YearOf(dt),MonthOf(dt)) do
    begin
      ddte := EncodeDate(YearOf(dt),MonthOf(dt),i);
      if DayOfWeek(ddte) = Dy then
        begin
          inc(j);
          if j = Num then
            begin
              Result := ddte;
              exit;
            end;
        end;
    end;
  if J < Num then
    Result := EncodeDate(1700,1,1);
end;

procedure TForm1.Button2Click(Sender: TObject);
var
  Dt:TDate;
begin
  Dt := FindDate(now,3,5);
  If Dt = EncodeDate(1700,1,1) then
    Showmessage('There is no date for that number in this month')
  else
    Showmessage(Datetostr(Dt));
end;

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0
 

Author Comment

by:ejla51
ID: 35203132
@aikimark:
Yes... something like

 for Month := 1 to 12 do
   if FifthTuesday(Year,Month) <> nil then
     MyStringList.Add(DateToStr(FifthTusday(Year,Month)));
0
 
LVL 32

Expert Comment

by:ewangoya
ID: 35203151

Interesting, I just found a bug in Delphi

Lastday := EndOfTheMonth(ADate);
When in May, this function is returning 06/01/2011

So the whole function breaks, this is bad, I'll try and get a workaround
0
 
LVL 24

Expert Comment

by:jimyX
ID: 35203197
@ ejla51
Any comment on my last code?

@ ewangoya
It works fine in Delphi 7 and 2009. I tried this way:
procedure TForm1.Button1Click(Sender: TObject);
begin
  showmessage(DatetoStr(EndOfTheMonth(EncodeDate(2011,5,3))));
end;

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LVL 32

Expert Comment

by:ewangoya
ID: 35203337

Weird stuff, I'm using Delphi 2010
0
 
LVL 32

Expert Comment

by:ewangoya
ID: 35203432

My Delphi is behaving really weird, Anyway I tested this with all the months
function FifthTuesday(ADate: TDateTime): TDateTime;
var
  CheckDay: TDateTime;
  Index: Integer;
  WorkMonth: Word;
  DD, MM, YY: WORD;
begin
  Result := 0;
  DecodeDate(ADate, YY, MM, DD);
  CheckDay := EncodeDate(YY, MM, 1);

  //start by getting first tuesday
  while DayOfTheWeek(CheckDay) <> 2 do
    CheckDay := IncDay(CheckDay, 1);

  //now we have first tuesday
  WorkMonth := MM;
  Index := 1;
  while (WorkMonth = MM) and (Index < 5) do
  begin
    CheckDay := IncDay(CheckDay, 7);
    WorkMonth := MonthOf(CheckDay);
    Inc(Index);
  end;
  if (WorkMonth = MM) and (Index = 5) then
    Result := CheckDay
  else
    Result := 0;
end;

procedure TForm3.Button1Click(Sender: TObject);
begin
  ShowMessage(DateToStr(FifthTuesday(MonthCalendar1.Date)));
end;

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LVL 32

Assisted Solution

by:ewangoya
ewangoya earned 250 total points
ID: 35203471
Or just pass Month and Year


function FifthTuesday1(MM, YY: Integer): TDateTime;
var
  CheckDay: TDateTime;
  Index: Integer;
  WorkMonth: Word;
begin
  Result := 0;
  CheckDay := EncodeDate(YY, MM, 1);

  //start by getting first tuesday
  while DayOfTheWeek(CheckDay) <> 2 do
    CheckDay := IncDay(CheckDay, 1);

  //now we have first tuesday
  WorkMonth := MM;
  Index := 1;
  while (WorkMonth = MM) and (Index < 5) do
  begin
    CheckDay := IncDay(CheckDay, 7);
    WorkMonth := MonthOf(CheckDay);
    Inc(Index);
  end;
  if (WorkMonth = MM) and (Index = 5) then
    Result := CheckDay
  else
    Result := 0;
end;

//
ShowMessage(DateToStr(FifthTuesday1(8, 2011)))

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LVL 45

Expert Comment

by:aikimark
ID: 35203610
My approach is less iterative, as far as the last Tuesday is concerned.

* Any month with less than 29 days can NEVER have a fifth of any day of the week -- I'm looking at you, February (most of the time).
* As long as the day of the week of the last day of the month minus the day-of-the-week value for Tuesday is greater than -1 and also greater than
(DayofTheMonth(LastDayOfTheMonth) - 29) then the
FifthTuesday := LastDayOfTheMonth - (DateOfWeek(LastDayOfTheMonth) - Tuesday)

In my proof-of-concept test, I passed a year to a routine that first calculated the end of January of that passed year and then incremented that date in a loop a month-at-a-time.  Applying the logic above, I either added the fifthTuesday date to a list continued iterating the subsequent 11 months in the passed year.

IncMonth() or IncAMonth() would be the function to use in the iteration.
0
 

Author Comment

by:ejla51
ID: 35205844
thanks guys,
I'm very busy right now but I'll be back later!
0
 
LVL 45

Expert Comment

by:aikimark
ID: 35205909
@ewangoya & jimyX

My Delphi system is offline, so you are welcome to try your hand at the alternative approach if you wish.  I will not be posting any code.
0
 

Author Comment

by:ejla51
ID: 35209586
Hi folks,
great job! Both work exactly...
You should have shared points of course for this impressive lesson!

When I started thinking about the solution, I thought about taking the first Tuesday and add 4 weeks (28 days) and then see if we still are within respective month.

I creamed off and carved the following code.
I don't know if Delphi error ewangoya found, can cause problems there?
procedure TForm1.spinEditYearChange(Sender: TObject);
var i : integer;
    dt,LastDay : TDate;
begin
Memo1.Clear;
 for i := 1 to 12 do
 begin
  dt := EncodeDate(Floor(spinEditYear.Value), i, 1); // Go to 1st day
  Lastday := EndOfTheMonth(dt);
  while DayOfWeek(dt) <> 3 do dt := dt + 1; // Toggle to Fist Tuesday
   dt := dt + 28; // Add 4 weeks to first Tuesday
   if dt <= Lastday then // Check if date still in range
     Memo1.Lines.Add(DateToStr(dt))
 end;
end;

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LVL 32

Expert Comment

by:ewangoya
ID: 35209829

That works fine to me
You even saved a few iterations by adding 28 days straight to the first Tuesday
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