Discrete Fourier Transform

It's not flexible one.

unit Unit1;

interface

uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, StdCtrls, Buttons, Grids;

type
  TForm1 = class(TForm)
    StringGrid1: TStringGrid;
    BitBtn1: TBitBtn;
    Edit1: TEdit;
    procedure proses;
    procedure BitBtn1Click(Sender: TObject);
    procedure FormCreate(Sender: TObject);
  private
    { Private declarations }
  public
    { Public declarations }
  end;

var
  Form1: TForm1;

implementation

{$R *.dfm}

procedure tform1.proses;
var i,j:integer;
fm:real;
begin
  for i:=0 to 50 do begin
    fm:=0;
    for j:=0 to 10 do begin
     {untuk fungsi rect(x)}
     fm:=fm+1*cos(2*PI*j*i/10/11);
    end;
    stringgrid1.Cells[0,i+1]:=floattostr(i);
    stringgrid1.Cells[1,i+1]:=floattostr(i/10);
    stringgrid1.Cells[2,i+1]:=floattostr(fm);
    edit1.Text:=floattostr(fm);
    application.ProcessMessages;sleep(200);
    f(x)=cos(x)+cos(2x)+cos(3x)+cos(4x)}
  end;
end;

procedure TForm1.BitBtn1Click(Sender: TObject);
begin
  proses;
end;

procedure TForm1.FormCreate(Sender: TObject);
begin
  stringgrid1.RowCount:=51;
  stringgrid1.Cells[0,0]:='no';
  stringgrid1.Cells[1,0]:='m';
  stringgrid1.Cells[2,0]:='f[m]';
  //stringgrid1.Cells[3,0]:='no';
end;

end.

Discrete Fourier Transform in Delphi (in progess)

Here we go...

I plan to coding it in a way that it has flexibility in term of function. So I create two variable ft and ff, represent time domain and frequency domain function as two dimensional array, with the first index as 'function name' so it can be (in future) ft[0,i] as rect(x), ft[1,i] as cos(x) and so on.

unit Unit1;

interface

uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, ExtCtrls, Grids, StdCtrls, Math;

type
  TForm1 = class(TForm)
    Button1: TButton;
    StringGrid1: TStringGrid;
    Image1: TImage;
    Edit1: TEdit;
    function fourier(a,k:integer):real;
    procedure proses;
    procedure fungsi(a:integer);
    procedure Button1Click(Sender: TObject);
    procedure FormCreate(Sender: TObject);
    procedure Image1Click(Sender: TObject);
  private{ Private declarations }
  public{ Public declarations }
  end;
const n=37;m=5;
var
  Form1: TForm1;
  ft,ff: array[0..m,0..n]of real;
  x0,y0:integer;
  sx:real=3;
  sy:real=17;

implementation

{$R *.dfm}
procedure tform1.fungsi(a:integer);
var i:integer;
begin
  for i:=0 to n-1 do begin
    ft[a,i]:=cos(i)+cos(2*i);
    stringgrid1.Cells[1,i+1]:=inttostr(i);
    stringgrid1.Cells[2,i+1]:=floattostr(ft[a,i]);
    image1.Canvas.Pen.Color:=clblack;
    image1.Canvas.MoveTo(x0+round(sx*i),y0);
    image1.Canvas.lineTo(x0+round(sx*i),y0-round(sy*ft[a,i]));
  end;
end;
function tform1.fourier(a,k:integer):real;
var i:integer;jml,j:real;
begin
  jml:=0;
  for i:=0 to n-1 do begin
    j:=i;
    jml:=jml+ft[a,i]*cos(2*PI*k*j/n);
    edit1.Text:=floattostr(jml);
    //application.ProcessMessages;sleep(500);
    //fm:=fm+1*cos(2*PI*j*i/10/11);
  end;
  fourier:=jml;
end;

procedure tform1.proses;
var a,i:integer;z:real;
begin
  a:=0;
  stringgrid1.Cells[3,0]:='f(rect(t))';
  for i:=0 to n-1 do begin
    ff[a,i]:=fourier(a,i);
    stringgrid1.Cells[3,i+1]:=floattostr(ff[a,i]);
    stringgrid1.Cells[4,i+1]:=inttostr(round(ff[a,i]));
    z:=ff[a,i];
    //z:=strtofloat(stringgrid1.Cells[3,i+1]);
    image1.Canvas.Pen.Color:=clblue;
    image1.Canvas.moveto(x0+round(sx*i),y0);
    image1.Canvas.lineTo(x0+round(sx*i),y0-round(sy*z));
    stringgrid1.Cells[0,0]:=floattostr(z);
    stringgrid1.Cells[0,1]:=inttostr(floor(z));
    //application.ProcessMessages;sleep(500);
  end;
end;
procedure TForm1.Button1Click(Sender: TObject);
begin
  proses;
end;

procedure TForm1.FormCreate(Sender: TObject);
var i:integer;
begin
  x0:=round(image1.Width/2);
  y0:=round(image1.Height/2);
  image1.Canvas.pen.Color:=cllime;
  image1.Canvas.MoveTo(0,y0);
  image1.Canvas.lineto(image1.Width,y0);
  image1.Canvas.MoveTo(x0,0);
  image1.Canvas.lineto(x0,image1.Height);
  stringgrid1.RowCount:=n+1;
  //rect(x)
  fungsi(0);
  //tulis stringgrid
  stringgrid1.Cells[0,0]:='no';
  stringgrid1.Cells[0,0]:=inttostr(round(1.5));
  stringgrid1.Cells[1,0]:='t';
  stringgrid1.Cells[2,0]:='rect(t)';

end;

procedure TForm1.Image1Click(Sender: TObject);
begin

end;

end.

Flexible Digital Counter using Delphi (with Recursive Procedure)

Updated version from before. 

unit Unit1;

interface

uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, Grids, StdCtrls, Math;

type
  TForm1 = class(TForm)
    Button1: TButton;
    StringGrid1: TStringGrid;
    function toString(var a:boolean):string;
    function denary:string;
    procedure proses;
    procedure tlsStrgrd;
    procedure counter(l:integer);
    procedure Button1Click(Sender: TObject);
    procedure FormCreate(Sender: TObject);
  private
    { Private declarations }
  public
    { Public declarations }
  end;
const n=5;
var Form1: TForm1;
  Q:array[0..n-1]of boolean;
  l:integer=0;
 jalan:boolean=false;
 clock:boolean=true;

implementation{$R *.dfm}

function tform1.denary;
var i,j:integer;
begin
  j:=0;
  for i:=0 to n-1 do begin
    j:=j+round(strtoint(toString(Q[i]))*Power(2,i));
  end;
  denary:=inttostr(j);
end;

function tform1.toString(var a:boolean):string;begin
  toString:=inttostr(-1*strtoint(booltostr(a)));
end;

procedure tform1.counter(l:integer);
begin
  if l<=n-1 then begin
    Q[l]:=not Q[l];
    if Q[l]=false then begin
      l:=l+1;
      counter(l);
    end;
  end;
end;

procedure tform1.tlsStrgrd;
var i:integer;
begin
  for i:=0 to n-1 do begin
    stringgrid1.Cells[i+2,1]:=toString(Q[i]);
  end;
end;

procedure tform1.proses;
begin
  clock:=not clock;
  if clock=false then
  begin
    l:=0;
    counter(l);
    tlsStrgrd;
  end;
  stringgrid1.Cells[1,1]:=toString(clock);
  stringgrid1.Cells[n+2,1]:=denary;
end;

procedure TForm1.Button1Click(Sender: TObject);
begin
  jalan:= not jalan;
  while jalan=true do begin
    proses;
    application.ProcessMessages;sleep(300);
  end;
end;

procedure TForm1.FormCreate(Sender: TObject);
var i:integer;
begin
  stringgrid1.ColCount:=n+3;
  stringgrid1.Cells[1,0]:='clock';
  stringgrid1.Cells[n+2,0]:='denary';
  stringgrid1.Cells[n+2,1]:=denary;
  stringgrid1.Cells[1,1]:=toString(clock);
  for i:=0 to n-1 do begin
    Q[i]:=false;
    stringgrid1.Cells[i+2,0]:='Q'+inttostr(i);
    stringgrid1.Cells[i+2,1]:=toString(Q[i]);
  end;
end;
end.

Recursive Procedure on Delphi.

Yup, recursive procedure (not recursive function, :) ).

I use it to create a simulation about digital asynchronous binary n-bit counter, complete with the denary representation.

n-bit means it's very flexible, you can change n and its output (stringgrid, thats it) automatically adjust itself, :)

Here's the code

unit Unit1;

interface

uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, StdCtrls, Buttons, Grids, math;

type
  TForm1 = class(TForm)
    StringGrid1: TStringGrid;
    BitBtn1: TBitBtn;
    function denary:integer;
    function tostring(a:boolean):string;
    procedure counter(m:integer);
    procedure proses;
    procedure isiStringgrid;

    procedure BitBtn1Click(Sender: TObject);
    procedure FormCreate(Sender: TObject);
  private
    { Private declarations }
  public
    { Public declarations }
  end;

const n=3;
var
  Form1: TForm1;
  Q:array[0..(n-1)]of boolean;
  clock:boolean=true;
  l,denary:integer;
  running:boolean=false;
implementation

{$R *.dfm}
function tform1.denary:integer;
var i,j:integer;
begin
  j:=0;
  for i:=0 to n-1 do begin
    j:=j+round(power(2,i))*strtoint(tostring(Q[i]));
  end;
  denary:=j;
end;

function tform1.tostring(a:boolean):string;
begin
{}
  tostring:=inttostr(-1*strtoint(booltostr(a)))
end;
procedure tform1.counter(m:integer);
begin
  if l<=n-1 then begin
    Q[l]:=not Q[l];
    if Q[l]=false then begin
       l:=l+1;
       counter(l);
    end;
  end;
end;
procedure tform1.proses;
begin
  clock:= not clock;
  if clock=false then begin
    l:=0;
    counter(l);
    isiStringgrid;
  end;
  stringgrid1.Cells[1,1]:=tostring(clock);
end;

procedure tform1.isiStringgrid;
var i:integer;
begin
  for i:=0 to n-1 do  begin
    stringgrid1.Cells[2+i,1]:=tostring(Q[i]);
  end;
  stringgrid1.Cells[n+2,1]:=inttostr(denary);
end;

procedure TForm1.BitBtn1Click(Sender: TObject);
begin
  running:=not running;
  if running=true then bitbtn1.Caption:='stop'else bitbtn1.Caption:='run';
  while running=true do begin
     proses;
     application.ProcessMessages;sleep(500);
  end;
end;

procedure TForm1.FormCreate(Sender: TObject);
var i:integer;
begin
  stringgrid1.ColCount:=n+3;
  bitbtn1.Caption:='run';
  stringgrid1.Cells[1,0]:='clock';
  stringgrid1.Cells[1,1]:=tostring(clock);
  for i:=0 to n-1 do  begin
    Q[i]:=false;
    stringgrid1.Cells[2+i,0]:='Q'+inttostr(i);
    stringgrid1.Cells[2+i,1]:=tostring(Q[i]);
  end;
  stringgrid1.Cells[n+2,0]:='Denary';
  stringgrid1.Cells[n+2,1]:=inttostr(denary);
end;

end.

The screenshot.

And the result, :)

iOS and OS X's Note

Want to edit Pages document 'on the fly' but don't have a Pages on iPhone? It's OK.

Copy the content of your Page document by select all -> copy, then paste to Note app on OS X. Wait a moment, it will sync with the Note app on iPhone, complete with the formatting and the images, :)

My New Toys, :)

Action Script3

(just for self documentation)

Notice how it differs from ActionScript 2, onRelease, onEnterFrame stuff.

Anyway, I'll tinker with this for next couple days, because it could be published as androidApps.apk via Adobe Air, for iOS too.

var vx:Number = 17;
var vy:Number = 3;
var jalan:Boolean = false;
var batasDrag:Rectangle = new Rectangle(0,0,stage.stageWidth,stage.stageHeight);
addEventListener(Event.ENTER_FRAME, utama);
/* Touch and Drag Event*/
Multitouch.inputMode = MultitouchInputMode.TOUCH_POINT;
kotak.addEventListener(TouchEvent.TOUCH_BEGIN, tekanKotak);
kotak.addEventListener(TouchEvent.TOUCH_END, lepasKotak);
tbStart.addEventListener(TouchEvent.TOUCH_TAP, toggleStart);
function utama(evtObj :Event):void
{
info.text = 'hallo';
if (jalan)
{
//kotak.y = 156.9;
kotak.x +=  vx;
kotak.y +=  vy;
info.text = "vx = " + String(vx);
info.appendText("\nvy = " + String(vy));
if (((kotak.x+kotak.width) >= stage.stageWidth) ||(kotak.x<0))
{
vx *=  -1;
}
if (((kotak.y+kotak.height) >= stage.stageHeight) ||(kotak.y<0))
{
vy *=  -1;
}

}
}
function toggleStart(event:TouchEvent):void
{
jalan = ! jalan;
}
function tekanKotak(event:TouchEvent):void
{
event.target.startTouchDrag(event.touchPointID, false, batasDrag);
jalan = false;
//kecepatan.text = "0";
}
function lepasKotak(event:TouchEvent):void
{
event.target.stopTouchDrag(event.touchPointID);
jalan = true;
}

/*tbStart.addEventListener(MouseEvent.CLICK,tbStartRelease);
function tbStartRelease(event:MouseEvent):void
{
jalan = ! jalan;
}
*/

Enable SMS Forwarding between iOS 8.1 and Yosemite

No code's shown on Mac?

Me too. 

I have this solution after googling  DuckDuckGoing. 

here the excerpt 

I've found a solution on another forum and it worked for me:

Try this: Go to your iPhone Messages settings and turn off iMessages and turn it on again. Then go to the iMessages Settings on your Mac and do the same. After that it worked for me. Also make sure to activate your telephone number in the iMessages settings on your Mac.

and yeah, it works, :)