unit Unit1;

interface

uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, ExtCtrls, ComCtrls, StdCtrls, Spin;

type
  TForm1 = class(TForm)
    Image1: TImage;
    Button1: TButton;
    Button2: TButton;
    Label1: TLabel;
    Label2: TLabel;
    Label3: TLabel;
    Label4: TLabel;
    SpinEdit1: TSpinEdit;
    SpinEdit2: TSpinEdit;
    SpinEdit3: TSpinEdit;
    SpinEdit4: TSpinEdit;
    cd1: TColorDialog;
    Label5: TLabel;
    Edit1: TEdit;
    Button3: TButton;
    Button4: TButton;
    ScrollBox1: TScrollBox;
    procedure FormCreate(Sender: TObject);
    procedure Button1Click(Sender: TObject);
    procedure Button2Click(Sender: TObject);
    procedure SpinEdit1Change(Sender: TObject);
    procedure SpinEdit2Change(Sender: TObject);
    procedure SpinEdit3Change(Sender: TObject);
    procedure SpinEdit4Change(Sender: TObject);
    procedure Image1MouseMove(Sender: TObject; Shift: TShiftState; X,
      Y: Integer);
    procedure Button3Click(Sender: TObject);
    procedure Button4Click(Sender: TObject);
  private
    { Private declarations }
  public
    { Public declarations }
  end;

var
  Form1: TForm1;
  Wx,Wy,W1,W2: real;
  x1,y1,x2,y2:real;
  x,y,t,h:real;
  I1,J1,I2,J2,n,j:integer;
  m:real;

implementation

{$R *.dfm}
{------------------------------------------------------------------------------}
function Fx(t:real):real;
begin
Fx:=Sin(Wx*t+W1)
end;
{------------------------------------------------------------------------------}
function Fy(t:real):real;
begin
Fy:=Sin(Wy*t+W2)
end;
{------------------------------------------------------------------------------}
function II(x:real):integer;
begin
II:=I1+Trunc((x-x1)*(I2-I1)/(x2-x1))
end;
{------------------------------------------------------------------------------}
function JJ(x:real):integer;
begin
JJ:=J1+Trunc((y-y1)*(J2-J1)/(y2-y1))
end;
{------------------------------------------------------------------------------}
procedure DrawGraphic(Wx:real;Wy:real;W1:real;W2:real);
var i:integer;
     t:real;
begin

   //Масштаб!
    m:=strtofloat(form1.Edit1.Text);

     x1:=3; y1:=3;
     x2:=0;  y2:=0;

    x1:=x1-m; y1:=y1-m;
    x2:=x2+m;  y2:=y2+m;



  if m<1 then begin

              Form1.Image1.Height:=1000;
               Form1.Image1.Width:= 1000;
              form1.Image1.Picture.Bitmap.Height:=1000;
              form1.Image1.Picture.Bitmap.Width:=form1.Image1.Picture.Bitmap.Width+1000;
               end
else if (m>1)or(m=1) then
              begin
              Form1.Image1.Height:=5000;
              Form1.Image1.Width:=5000;
              form1.Image1.Picture.Bitmap.Height:=5000;
              form1.Image1.Picture.Bitmap.Width:=5000;
              end

    else if (m>2) then
              begin
              Form1.Image1.Height:=10000;
              Form1.Image1.Width:=10000;
              form1.Image1.Picture.Bitmap.Height:=10000;
              form1.Image1.Picture.Bitmap.Width:=10000;
              end;

with Form1.Image1,Form1.Image1.Canvas do
   begin

    Rectangle(0,0,Width,Height);
    t:=0;x:=Fx(t);y:=Fy(t);

    MoveTo(II(x),JJ(y));
    for i:=1 to 5*n do
     begin
      t:=t+h;x:=Fx(t);
      y:=Fy(t);
      LineTo(II(x),JJ(y))
     end;
   end

end;
{------------------------------------------------------------------------------}
procedure TForm1.FormCreate(Sender: TObject);
begin

    form1.edit1.Text:=floattostr(0.1);
    n:=350;
   //Начальный масштаб!

    x1:=3; y1:=3;
    x2:=0;  y2:=0;

    I1:=1;
    J1:=1;

    I2:=Image1.Width;
    J2:=Image1.Height;

    h:=2*Pi/n;
    Wx:=2; Wy:=4;W1:=6;W2:=3;
    DrawGraphic(Wx,Wy,w1,w2);

end;
{------------------------------------------------------------------------------}
procedure TForm1.Button1Click(Sender: TObject);
begin
if Cd1.Execute=true then
Form1.Image1.Canvas.Pen.Color:=cd1.Color;
DrawGraphic(Wx,wy,w1,w2);
end;
{------------------------------------------------------------------------------}

procedure TForm1.Button2Click(Sender: TObject);
begin
if Cd1.Execute=true then
Form1.Image1.Canvas.Brush.Color:=cd1.Color;
DrawGraphic(Wx,wy,w1,w2);
end;
{------------------------------------------------------------------------------}
procedure TForm1.SpinEdit1Change(Sender: TObject);
begin
Wx:=SpinEdit1.Value;
DrawGraphic(Wx,wy,w1,w2);
end;
{------------------------------------------------------------------------------}
procedure TForm1.SpinEdit2Change(Sender: TObject);
begin
Wy:=SpinEdit2.Value;
DrawGraphic(Wx,wy,w1,w2)
end;
{------------------------------------------------------------------------------}
procedure TForm1.SpinEdit3Change(Sender: TObject);
begin
W1:=SpinEdit3.Value;
DrawGraphic(Wx,wy,w1,w2)
end;
{------------------------------------------------------------------------------}
procedure TForm1.SpinEdit4Change(Sender: TObject);
begin
W2:=SpinEdit4.Value;
DrawGraphic(Wx,wy,w1,w2)
end;
{------------------------------------------------------------------------------}


function XX (I: integer): real;
begin
  XX := X1 + (I-I1) * (X2-X1) / (I2-I1)
end;

function YY (J: integer): real;
begin
  YY := Y1 + (J2-J) * (Y2-Y1) / (J2-J1)
end;


procedure TForm1.Image1MouseMove(Sender: TObject; Shift: TShiftState; X,
  Y: Integer);
begin

image1.Hint:='x:'+inttostr(x)+' '+ 'y:'+inttostr(y);
application.ActivateHint(mouse.CursorPos);

end;


procedure TForm1.Button3Click(Sender: TObject);
begin
DrawGraphic(Wx,wy,w1,w2)
end;

procedure TForm1.Button4Click(Sender: TObject);
begin

halt

end;

end.