Calculate the date of fifth tuesday of the month?

Any suggestions how to calculate fifth tuestay of the month...
There is of course several  methods, but what is the simplest way?
ejla51Asked:
Who is Participating?
 
jimyXConnect With a Mentor Commented:
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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Ephraim WangoyaCommented:
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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jimyXCommented:
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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aikimarkCommented:
@ejla51

What do you need to do if there is NO fifth Tuesday in the month?
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jimyXCommented:
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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ejla51Author Commented:
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!
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jimyXCommented:
Can you show the date that you tested this function with please? and also did you set the short date format?
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Ephraim WangoyaCommented:

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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Ephraim WangoyaCommented:
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;
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ejla51Author Commented:
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

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ejla51Author Commented:
@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.
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jimyXCommented:
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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ejla51Author Commented:
@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.
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aikimarkCommented:
@ejla51

So you want to pass a year value to a function and get all the 5th Tuesday dates in that year?
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ejla51Author Commented:
@aikimark:
Yes... something like

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

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
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jimyXCommented:
@ 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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Ephraim WangoyaCommented:

Weird stuff, I'm using Delphi 2010
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Ephraim WangoyaCommented:

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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Ephraim WangoyaConnect With a Mentor Commented:
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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aikimarkCommented:
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.
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ejla51Author Commented:
thanks guys,
I'm very busy right now but I'll be back later!
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aikimarkCommented:
@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.
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ejla51Author Commented:
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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Ephraim WangoyaCommented:

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