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How to round a number correctly

Title: How to round a number correctly Example/ Beispiel: x:= Round(17.5) = x = 18 x:= Round(12.5) = x = 12 } function DoRound(const X: Extended): Int64; begin Result := 0; if X0 then Result := trunc(X 0.5); if Xthen Result := trunc(X - 0.5); end; procedure TForm1.Button1Click(Sender: TObject); begin ShowMessage(FormatFloat('0.00', DoRound(17.5))); // - 18 ShowMessage(FormatFloat('0.00', DoRound(12.5))); // - 13 //This rounds every value to 0.05 steps //Rundet in 0.05 Schritten ShowMessage(FormatFloat('0.00', Round(17.22 / 0.05) * 0.05)); // - 17.20 end; {***Another function:***} function RoundUp(Value: Extended): Int64; procedure Set8087CW(NewCW: Word); asm MOV Default8087CW,AX FNCLEX FLDCW Default8087CW end; const RoundUpCW = $1B32; var OldCW: Word; begin OldCW := Default8087CW; try Set8087CW(RoundUpCW); Result := Round(Value); finally Set8087CW(OldCW); end; end; procedure TForm1.Button2Click(Sender: TObject); begin ShowMessage(FormatFloat('0.00', RoundUp(19.32))); // - 19 end;