-
- Delphi.
1. -.
: 520301 ..
: ..
2012
3
1 3
2 4
6
10
1
1. form1
a. cht1 -
b. edt1 -
c. edt2 -
d. lbl1 edt1
e. lbl2 edt2
f. lbl4 edt1
g. lbl5 edt2
h. mm1
i. {N2}
ii. {N1}
2. form2 -
a. edt1
b. lbl1
c. btn1
2
1. function Fact(n:integer):extended; - n;
, :
2. function Power(x:real;n:integer):extended; - . x , n ;
, :
3. function gam(z:Extended):Extended;- - 
, 
,
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: z , TA,TB , k , x , z1 .
- (1,2). . - z>2 . .
4. function gamzer(z:Extended):Extended; - - (0,1) . : z .
- .
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procedure TForm1.edt3KeyPress, procedure TForm1.edt2KeyPress
edt3, edt2 , .
6. procedure TForm1.N2Click(Sender: TObject);
.
7. procedure TForm1.N1Click(Sender: TObject);
.
, edt2, edt3. , , . , . , - .
- :
, 
- c . (0,1) gamzer, c>1 fact(c-1), gam.
2
unit gamma;
interface
uses
Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
Dialogs, StdCtrls, ExtCtrls, TeeProcs, TeEngine, Chart, Series, Menus, Unit2;
type
TForm1 = class(TForm)
lbl1: TLabel;
lbl2: TLabel;
edt1: TEdit;
edt2: TEdit;
lbl4: TLabel;
lbl5: TLabel;
lbl6: TLabel;
cht1: TChart;
lnsrsSeries1: TLineSeries;
mm1: TMainMenu;
N1: TMenuItem;
N2: TMenuItem;
procedure edt3KeyPress(Sender: TObject; var Key: Char);
procedure edt2KeyPress(Sender: TObject; var Key: Char);
procedure N2Click(Sender: TObject);
procedure N1Click(Sender: TObject);
private
{ Private declarations }
public
{ Public declarations }
end;
function Power(x:real;n:integer):extended;
function fact(z:extended):extended;
function gam(z:Extended):Extended;
function gamzer(z:Extended):Extended;
var
Form1: TForm1;
a1,a2,c,h,f,er,rez,z:extended;
N,nl:integer;
correct:Boolean;
implementation
{$R *.dfm}
function Power(x:real;n:integer):extended; //
begin
if n=0 then Power:=1
else Power:=x*Power(x,n-1);
end;
function fact(z:extended):extended; //
begin
if z<=0 then Fact:=1
else Fact:=z*Fact(z-1);
end;
function gam(z:Extended):Extended; // - z>1
type TA=array[1..8] of Extended;
type TB=array[1..8] of Extended;
var A:TA;
var B:TB;
const E=2.7182818284;
var k:Integer;
var x:Extended;
var P08,P18:Extended;
var z1:Extended;
begin
A[1]:=6.64561438202405440627855e+4;
a[2]:=-3.61444134186911729807069e+4;
a[3]:=-3.14512729688483675254357e+4;
a[4]:=8.66966202790413211295064e+2;
a[5]:=6.29331155312818442661052e+2;
a[6]:=-3.79804256470945635097577e+2;
a[7]:=2.47656508055759199108314e+1;
a[8]:=-1.71618513886549492533811e+0;
b[1]:=-1.15132259675553483497211e+5;
b[2]:=-1.34659959864969306392456e+5;
b[3]:=4.75584627752788110767815e+3;
b[4]:=2.25381184209801510330112e+4;
b[5]:=-3.10777167157231109440444e+3;
b[6]:=-1.01515636749021914166146e+3;
b[7]:=3.15350626979604161529144e+2;
b[8]:=-3.08402300119738975254353e+1;
x:=z-1;
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|
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z1:=1;
P08:=0;
P18:=power(x,8);
for k:=1 to 8 do
begin
P08:=P08+a[k]*power(x,k);
P18:=P18+b[k]*power(x,k-1);
end;
while z>2 do
begin
z1:=z1*(z-1);
z:=z-1;
end;
if (z>1) and (z<2) then
begin
gam:=z1*(1+P08/P18);
end;
end;
function gamzer(z:Extended):Extended; // - (0,1)
begin
gamzer:=gam(z+1)/z;
end;
procedure TForm1.edt3KeyPress(Sender: TObject; var Key: Char);
begin
if not ((Key='1') or (Key='2') or (Key='3') or (Key='4') or (Key='5') or (Key='6') or (Key='7') or (Key='8') or (Key='9') or (Key='0') or (Key=#8)) then Key:=#0;
end;
procedure TForm1.edt2KeyPress(Sender: TObject; var Key: Char);
begin
if not ((Key='1') or (Key='2') or (Key='3') or (Key='4') or (Key='5') or (Key='6') or (Key='7') or (Key='8') or (Key='9') or (Key='0') or (Key=#8) or (key=',')) then Key:=#0;
end;
procedure TForm1.N2Click(Sender: TObject);
begin
Form1.lbl4.Caption:='';
Form1.lbl5.Caption:='';
Form1.lbl6.Caption:='';
if (Form1.edt1.Text='') then Form1.edt1.Text:='0,1';
if (Form1.edt2.Text='') then Form1.edt2.Text:='1';
a1:=StrToFloat(Form1.edt1.text);
a2:=StrToFloat(Form1.edt2.text);
N:=StrToInt(Form2.edt1.text);
er:=frac(N);
correct:=True;
Form1.cht1.Series[0].Clear;
if (a1<=0) or (a1>10) then
begin
Form1.lbl4.caption:=' ';
correct:=False;
end;
if (a2<=0) or (a2>10) then
begin
Form1.lbl5.caption:=' ';
correct:=False;
end;
if a2<=a1 then
begin
Form1.lbl5.Caption:=' ';
correct:=False;
end;
if correct then
begin
c:=a1;
h:=abs(a1-a2)/N;
f:=frac(c);
end;
if correct then
begin
while c<=a2 do // -
begin
if (c>0) and (c<1) then
begin
rez:=gamzer(c);
end;
if c=1 then rez:=1;
if (c>1) then
begin
if f=0 then rez:=fact(c-1)
else rez:=gam(c);
end;
Form1.cht1.Series[0].AddXY(c,rez);
c:=c+h;
f:=frac(c);
end;
end;
end;
procedure TForm1.N1Click(Sender: TObject);
begin
Form2.Show;
end;
end.
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